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[("0","00"),("0","0001"),("001","110"),("1110","11")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0001"),("001","1100"),("0110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0001"),("001","1100"),("1100","10")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0001"),("001","1101"),("110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0001"),("001","1101"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0001"),("001","1101"),("1110","11")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0001"),("001","111"),("110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0001"),("001","111"),("1100","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0001"),("001","111"),("1100","10")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0001"),("001","111"),("1110","11")] => ([0,1,2,3],[]) => False
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[("0","00"),("0","0001"),("001","1110"),("1110","11")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0001"),("001","1111"),("1110","11")] => ([0,1,2,3],[]) => False
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[("0","00"),("0","0001"),("0010","0101"),("0101","01")] => ([0,1,2,3],[]) => False
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[("0","00"),("0","0001"),("0010","100"),("1100","10")] => ([0,1,2,3],[]) => False
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[("0","00"),("0","0001"),("0010","1001"),("1100","1")] => ([0,1,3],[2]) => True
[("0","00"),("0","0001"),("0010","1001"),("1100","10")] => ([0,1,3],[2]) => True
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[("0","00"),("0","0001"),("0010","11"),("1100","10")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0001"),("0010","11"),("111","11")] => ([0,1,2,3],[]) => False
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[("0","00"),("0","0001"),("0110","1"),("1","1101")] => ([0,1,2,3],[]) => False
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[("0","00"),("0","0001"),("0110","1"),("10","110")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0001"),("0110","1"),("10","1100")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0001"),("0110","1"),("10","1101")] => ([0,1,2,3],[]) => False
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[("0","00"),("0","0001"),("0110","1"),("100","01")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0001"),("0110","1"),("100","011")] => ([0,1,2,3],[]) => False
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[("0","00"),("0","0001"),("0110","1"),("100","1100")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0001"),("0110","1"),("100","1101")] => ([0,1,2,3],[]) => False
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[("0","00"),("0","0001"),("0110","1"),("1000","0011")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0001"),("0110","1"),("1000","01")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0001"),("0111","1"),("10","0111")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0001"),("0111","1"),("10","1011")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0001"),("0111","1"),("10","11")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0001"),("0111","1"),("10","110")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0001"),("0111","1"),("100","01")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0001"),("0111","1"),("100","0111")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0001"),("0111","1"),("100","1011")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0001"),("0111","1"),("100","11")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0001"),("0111","1"),("100","110")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0001"),("0111","1"),("1000","01")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0001"),("0111","1"),("1000","101")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0001"),("0111","1"),("1000","1011")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0001"),("0111","1"),("1000","110")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0001"),("0111","1"),("1000","1101")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0001"),("0111","11"),("1","1110")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0001"),("1","011"),("1100","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0001"),("1","0111"),("110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0001"),("1","0111"),("1100","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0001"),("1","0111"),("1100","10")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0001"),("1","0111"),("1110","11")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0001"),("1","1011"),("100","0")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0001"),("1","1011"),("1001","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0001"),("1","1011"),("1100","10")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0001"),("1","110"),("1100","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0001"),("1","1101"),("100","0")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0001"),("1","1101"),("110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0001"),("1","1101"),("1110","11")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0001"),("1","111"),("100","0")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0001"),("1","111"),("110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0001"),("1","111"),("1100","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0001"),("1","111"),("1100","10")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0001"),("1","111"),("1110","11")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0001"),("1","1110"),("1000","00")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0001"),("1","1110"),("1100","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0001"),("1","1110"),("1100","10")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0001"),("1","1110"),("1110","11")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0001"),("1","1111"),("100","0")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0001"),("1","1111"),("110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0001"),("1","1111"),("1100","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0001"),("1","1111"),("1100","10")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0001"),("1","1111"),("1110","11")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0001"),("10","0011"),("1100","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0001"),("10","011"),("110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0001"),("10","011"),("1100","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0001"),("10","011"),("1100","10")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0001"),("10","0110"),("1100","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0001"),("10","0111"),("1110","11")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0001"),("10","1011"),("110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0001"),("10","1011"),("1100","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0001"),("10","1011"),("1100","10")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0001"),("10","1011"),("1110","11")] => ([0,1,3],[2]) => True
[("0","00"),("0","0001"),("10","11"),("1100","10")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0001"),("10","11"),("111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0001"),("10","11"),("1110","11")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0001"),("10","11"),("1111","11")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0001"),("10","110"),("1100","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0001"),("10","110"),("1100","10")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0001"),("10","1100"),("1100","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0001"),("10","1101"),("110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0001"),("10","111"),("1111","1")] => ([0,1,2,3],[]) => False
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[("0","00"),("0","001"),("001","1001"),("1100","1")] => ([0,1,2,3],[]) => False
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[("0","00"),("0","001"),("001","1101"),("110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","001"),("001","1101"),("1110","11")] => ([0,1,2,3],[]) => False
[("0","00"),("0","001"),("001","111"),("1100","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","001"),("001","111"),("1100","10")] => ([0,1,2,3],[]) => False
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[("0","00"),("0","001"),("0010","011"),("110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","001"),("0010","011"),("1100","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","001"),("0010","011"),("1100","10")] => ([0,1,2,3],[]) => False
[("0","00"),("0","001"),("0010","100"),("0011","01")] => ([0,1,2,3],[]) => False
[("0","00"),("0","001"),("0010","100"),("01","0")] => ([0,1,2,3],[]) => False
[("0","00"),("0","001"),("0010","100"),("110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","001"),("0010","1001"),("1100","1")] => ([0,1,3],[2]) => True
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[("0","00"),("0","001"),("0010","101"),("1010","0")] => ([0,1,2,3],[]) => False
[("0","00"),("0","001"),("0010","1010"),("0101","10")] => ([0,1,2,3],[]) => False
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[("0","00"),("0","001"),("0010","11"),("110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","001"),("0010","11"),("1111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","001"),("0010","110"),("0111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","001"),("0010","110"),("110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","001"),("0010","110"),("1100","0")] => ([0,1,2,3],[]) => False
[("0","00"),("0","001"),("0010","110"),("1100","10")] => ([0,1,2,3],[]) => False
[("0","00"),("0","001"),("0010","110"),("1110","11")] => ([0,1,2,3],[]) => False
[("0","00"),("0","001"),("0010","1100"),("0111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","001"),("0010","1100"),("1100","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","001"),("0010","1101"),("110","1")] => ([0,1,3],[2]) => True
[("0","00"),("0","001"),("0010","111"),("111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","001"),("0010","111"),("1110","0")] => ([0,1,2,3],[]) => False
[("0","00"),("0","001"),("0010","111"),("1110","11")] => ([0,1,2,3],[]) => False
[("0","00"),("0","001"),("0010","111"),("1111","11")] => ([0,1,2,3],[]) => False
[("0","00"),("0","001"),("0010","1110"),("1110","11")] => ([0,1,2,3],[]) => False
[("0","00"),("0","001"),("0010","1111"),("1111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","001"),("0011","0"),("1010","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","001"),("0011","0"),("1100","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","001"),("0011","00"),("1100","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","001"),("0011","000"),("1100","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","001"),("0011","0001"),("1100","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","001"),("0011","01"),("1","1101")] => ([0,1,2,3],[]) => False
[("0","00"),("0","001"),("0011","01"),("1","1110")] => ([0,1,2,3],[]) => False
[("0","00"),("0","001"),("0011","01"),("1100","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","001"),("0011","0110"),("1100","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","001"),("0011","1000"),("1100","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","001"),("01","0"),("1010","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","001"),("01","0"),("1100","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","001"),("01","0011"),("1100","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","001"),("01","0111"),("1100","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","001"),("01","0111"),("1100","10")] => ([0,1,2,3],[]) => False
[("0","00"),("0","001"),("01","0111"),("1110","11")] => ([0,1,2,3],[]) => False
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[("0","00"),("0","001"),("1000","11"),("1111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","001"),("1000","11"),("1111","11")] => ([0,1,2,3],[]) => False
[("0","00"),("0","001"),("1000","110"),("1011","01")] => ([0,1,2,3],[]) => False
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[("0","00"),("0","001"),("1000","110"),("1101","10")] => ([0,1,2,3],[]) => False
[("0","00"),("0","001"),("1000","110"),("111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","001"),("1000","110"),("1110","11")] => ([0,1,2,3],[]) => False
[("0","00"),("0","001"),("1000","110"),("1111","11")] => ([0,1,2,3],[]) => False
[("0","00"),("0","001"),("1000","1100"),("1100","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","001"),("1000","1100"),("1100","10")] => ([0,1,2,3],[]) => False
[("0","00"),("0","001"),("1000","1100"),("111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","001"),("1000","1101"),("110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","001"),("1000","1101"),("1110","11")] => ([0,1,2,3],[]) => False
[("0","00"),("0","001"),("1000","111"),("1111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","001"),("1000","1110"),("1110","11")] => ([0,1,2,3],[]) => False
[("0","00"),("0","001"),("1000","1111"),("111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","001"),("1000","1111"),("1111","11")] => ([0,1,2,3],[]) => False
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[("0","00"),("0","001"),("1001","0"),("1100","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","001"),("1001","00"),("1100","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","001"),("1001","000"),("1100","1")] => ([0,1,2,3],[]) => False
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[("0","00"),("0","001"),("1001","011"),("110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","001"),("1001","011"),("1101","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","001"),("1001","0111"),("110","1")] => ([0,1,3],[2]) => True
[("0","00"),("0","001"),("1001","0111"),("1100","1")] => ([0,1,3],[2]) => True
[("0","00"),("0","001"),("1001","0111"),("1100","10")] => ([0,1,3],[2]) => True
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[("0","00"),("0","001"),("1001","100"),("1100","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","001"),("1001","1000"),("1100","1")] => ([0,1,2,3],[]) => False
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[("0","00"),("0","001"),("1001","110"),("101","0")] => ([0,1],[2,3]) => True
[("0","00"),("0","001"),("1001","110"),("1010","01")] => ([0,1,3],[2]) => True
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[("0","00"),("0","001"),("1001","110"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","001"),("1001","110"),("1110","11")] => ([0,1,2,3],[]) => False
[("0","00"),("0","001"),("1001","1101"),("110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","001"),("1001","1101"),("1110","11")] => ([0,1,2,3],[]) => False
[("0","00"),("0","001"),("1001","111"),("1100","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","001"),("1001","111"),("1100","10")] => ([0,1,2,3],[]) => False
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[("0","00"),("0","0010"),("010","0110"),("1100","1")] => ([0,1,2,3],[]) => False
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[("0","00"),("0","0010"),("010","1001"),("1010","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0010"),("010","101"),("1010","1")] => ([0,1,2,3],[]) => False
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[("0","00"),("0","0010"),("010","110"),("1100","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0010"),("010","1101"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0010"),("010","111"),("111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0010"),("010","111"),("1111","11")] => ([0,1,3],[2]) => True
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[("0","00"),("0","0010"),("0100","1001"),("1010","1")] => ([0,1,2,3],[]) => False
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[("0","00"),("0","0010"),("0100","1010"),("1010","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0010"),("0100","1010"),("1010","10")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0010"),("0100","11"),("1100","0")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0010"),("0100","11"),("111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0010"),("0100","11"),("111","11")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0010"),("0100","11"),("1111","11")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0010"),("0100","11"),("1111","111")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0010"),("0100","110"),("1100","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0010"),("0100","1101"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0010"),("0100","111"),("11","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0010"),("0100","111"),("111","11")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0010"),("0100","111"),("1111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0010"),("0100","111"),("1111","11")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0010"),("0100","111"),("1111","111")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0010"),("0100","1111"),("111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0010"),("0100","1111"),("111","11")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0010"),("0100","1111"),("1111","11")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0010"),("0100","1111"),("1111","111")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0010"),("0101","01"),("100","0101")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0010"),("0101","10"),("1","1101")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0010"),("0101","10"),("1","1110")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0010"),("0101","10"),("100","01")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0010"),("0101","10"),("100","0101")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0010"),("0101","10"),("100","1010")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0010"),("0101","10"),("1000","101")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0010"),("011","1"),("1","1110")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0010"),("011","1"),("10","011")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0010"),("0110","1"),("1","011")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0010"),("0110","1"),("1","1011")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0010"),("0110","1"),("1","110")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0010"),("0110","1"),("1","1101")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0010"),("0110","1"),("10","0011")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0010"),("0110","1"),("10","011")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0010"),("0110","1"),("10","110")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0010"),("0110","1"),("100","01")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0010"),("0110","1"),("100","110")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0010"),("0110","1"),("1000","011")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0010"),("0110","1"),("1000","110")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0010"),("0110","1"),("1000","1100")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0010"),("0111","1"),("10","1011")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0010"),("0111","1"),("100","01")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0010"),("0111","1"),("1000","01")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0010"),("0111","1"),("1000","11")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0010"),("0111","11"),("1","1110")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0010"),("1","011"),("1100","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0010"),("1","0111"),("101","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0010"),("1","0111"),("110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0010"),("1","0111"),("1100","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0010"),("1","0111"),("1100","10")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0010"),("1","101"),("1010","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0010"),("1","1011"),("100","0")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0010"),("1","1011"),("1010","01")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0010"),("1","1011"),("1010","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0010"),("1","1011"),("1010","10")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0010"),("1","1011"),("1100","10")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0010"),("1","11"),("1001","0")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0010"),("1","11"),("1011","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0010"),("1","1101"),("1010","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0010"),("10","011"),("1100","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0010"),("10","1001"),("1010","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0010"),("10","101"),("1010","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0010"),("10","11"),("1001","0")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0010"),("10","11"),("1011","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0010"),("10","11"),("1100","0")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0010"),("10","11"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0010"),("10","11"),("1111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0010"),("10","110"),("1011","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0010"),("10","110"),("110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0010"),("10","1100"),("1100","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0010"),("10","111"),("1111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0010"),("10","1111"),("111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0010"),("10","1111"),("1111","11")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0010"),("100","01"),("1011","1")] => ([0,1,2,3],[]) => False
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[("0","00"),("0","0011"),("001","11"),("1111","11")] => ([0,1,3],[2]) => True
[("0","00"),("0","0011"),("001","1111"),("1111","11")] => ([0,1,3],[2]) => True
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[("0","00"),("0","0011"),("0011","0"),("1001","1")] => ([0,1,2,3],[]) => False
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[("0","00"),("0","0011"),("0011","01"),("110","1")] => ([0,1,2,3],[]) => False
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[("0","00"),("0","0011"),("0011","0101"),("1010","01")] => ([0,1,2,3],[]) => False
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[("0","00"),("0","0011"),("0011","10"),("1101","1")] => ([0,1,2,3],[]) => False
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[("0","00"),("0","0011"),("0011","1101"),("1110","1")] => ([0,1,2,3],[]) => False
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[("0","00"),("0","0011"),("01","1010"),("1010","10")] => ([0,2,3],[1]) => True
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[("0","00"),("0","0011"),("010","111"),("11","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0011"),("010","1111"),("11","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0011"),("0100","0"),("011","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0011"),("0100","0"),("0110","01")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0011"),("0100","0"),("111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0011"),("0100","001"),("1100","10")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0011"),("0101","0"),("1001","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0011"),("0101","0"),("110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0011"),("0101","01"),("0110","01")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0011"),("0101","01"),("0110","0101")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0011"),("0101","01"),("1","01")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0011"),("0101","01"),("1","0101")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0011"),("0101","01"),("11","0101")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0011"),("0101","01"),("110","01")] => ([0,1,2],[3]) => True
[("0","00"),("0","0011"),("0101","01"),("110","0101")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0011"),("0101","01"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0011"),("0101","1"),("0110","01")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0011"),("0101","1"),("1","01")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0011"),("0101","1"),("1","10")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0011"),("0101","1"),("1001","0")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0011"),("0101","1"),("1100","10")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0011"),("0101","10"),("011","0101")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0011"),("0101","10"),("011","1010")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0011"),("0101","10"),("0110","01")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0011"),("0101","10"),("0110","010")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0011"),("0101","10"),("0110","0101")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0011"),("0101","10"),("0110","101")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0011"),("0101","10"),("1","01")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0011"),("0101","10"),("1","0101")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0011"),("0101","10"),("1","101")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0011"),("0101","10"),("1001","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0011"),("0101","10"),("11","0101")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0011"),("0101","10"),("11","101")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0011"),("0101","10"),("11","1010")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0011"),("0101","10"),("110","0101")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0011"),("0101","10"),("110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0011"),("0101","10"),("110","101")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0011"),("0101","10"),("1100","01")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0011"),("0101","10"),("1100","010")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0011"),("0101","10"),("1100","0101")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0011"),("0101","10"),("1100","10")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0011"),("0101","10"),("1100","101")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0011"),("0101","10"),("1100","1010")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0011"),("0101","10"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0011"),("011","0"),("1001","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0011"),("011","0"),("1010","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0011"),("011","0"),("110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0011"),("011","01"),("110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0011"),("011","0101"),("1010","01")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0011"),("011","1"),("0110","10")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0011"),("011","1"),("100","01")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0011"),("011","1"),("1001","0")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0011"),("011","1"),("11","1110")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0011"),("011","1"),("1110","0")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0011"),("011","1"),("1110","01")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0011"),("011","1"),("1110","011")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0011"),("011","1"),("1110","10")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0011"),("011","10"),("1001","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0011"),("011","1010"),("1010","01")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0011"),("011","1011"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0011"),("011","1101"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0011"),("011","111"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0011"),("011","1110"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0011"),("011","1111"),("1111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0011"),("0110","01"),("0110","10")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0011"),("0110","01"),("1001","10")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0011"),("0110","01"),("1101","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0011"),("0110","01"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0011"),("0110","010"),("1010","01")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0011"),("0110","10"),("1000","0")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0011"),("0110","10"),("1001","01")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0011"),("0110","10"),("101","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0011"),("0110","10"),("1010","01")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0011"),("0110","10"),("1010","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0011"),("0110","10"),("1010","10")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0011"),("0110","10"),("1011","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0011"),("0110","10"),("11","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0011"),("0110","10"),("1101","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0011"),("0110","10"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0011"),("0110","10"),("1111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0011"),("0110","101"),("1010","01")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0011"),("0110","101"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0011"),("0110","1010"),("1010","01")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0011"),("0110","1010"),("1010","10")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0011"),("0110","1011"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0011"),("0110","111"),("11","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0011"),("0110","111"),("111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0011"),("0110","111"),("111","11")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0011"),("0110","111"),("1111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0011"),("0110","111"),("1111","11")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0011"),("0110","111"),("1111","111")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0011"),("0110","1110"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0011"),("0110","1111"),("11","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0011"),("0110","1111"),("111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0011"),("0110","1111"),("111","11")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0011"),("0110","1111"),("1111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0011"),("0110","1111"),("1111","11")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0011"),("0110","1111"),("1111","111")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0011"),("0111","0"),("1001","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0011"),("0111","0"),("110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0011"),("0111","0010"),("1001","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0011"),("0111","01"),("1001","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0011"),("0111","01"),("110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0011"),("0111","011"),("110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0011"),("0111","10"),("110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0011"),("0111","11"),("1","110")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0011"),("1","0"),("1001","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0011"),("1","0010"),("1001","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0011"),("1","01"),("1010","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0011"),("1","010"),("1010","01")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0011"),("1","0100"),("1001","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0011"),("1","0110"),("101","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0011"),("1","0111"),("1000","0")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0011"),("1","10"),("1010","01")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0011"),("1","10"),("1010","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0011"),("1","10"),("1010","10")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0011"),("1","10"),("110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0011"),("1","101"),("1010","01")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0011"),("1","1010"),("1010","01")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0011"),("1","1010"),("1010","10")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0011"),("1","1111"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0011"),("10","0"),("1001","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0011"),("10","0100"),("1001","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0011"),("10","0101"),("110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0011"),("100","0"),("1001","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0011"),("100","0"),("11","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0011"),("100","0"),("1101","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0011"),("100","0"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0011"),("100","00"),("1001","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0011"),("100","01"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0011"),("100","0100"),("1001","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0011"),("100","1111"),("111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0011"),("100","1111"),("1111","11")] => ([0,1,3],[2]) => True
[("0","00"),("0","0011"),("1000","0"),("1001","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0011"),("1000","0"),("11","10")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0011"),("1000","0"),("1101","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0011"),("1000","0"),("1101","11")] => ([0,2,3],[1]) => True
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[("0","00"),("0","0011"),("1001","111"),("1111","1")] => ([0,1,2,3],[]) => False
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[("0","00"),("0","0011"),("1001","1111"),("111","11")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0011"),("1001","1111"),("1111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0011"),("1001","1111"),("1111","11")] => ([0,1,3],[2]) => True
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[("0","00"),("0","0011"),("1100","01"),("1101","1")] => ([0,1,2,3],[]) => False
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[("0","00"),("0","01"),("0001","1001"),("1110","1")] => ([0,1,2,3],[]) => False
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[("0","00"),("0","01"),("0001","101"),("1110","1")] => ([0,1,2,3],[]) => False
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[("0","00"),("0","01"),("0001","110"),("011","0")] => ([0,1,2,3],[]) => False
[("0","00"),("0","01"),("0001","110"),("1111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","01"),("0001","1100"),("0110","0")] => ([0,1,2,3],[]) => False
[("0","00"),("0","01"),("0001","1101"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","01"),("0001","1110"),("0111","0")] => ([0,1,2,3],[]) => False
[("0","00"),("0","01"),("0001","1110"),("111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","01"),("0001","1111"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","01"),("001","00"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","01"),("001","011"),("0011","0")] => ([0,1,2,3],[]) => False
[("0","00"),("0","01"),("001","011"),("1110","1")] => ([0,1,2,3],[]) => False
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[("0","00"),("0","01"),("001","10"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","01"),("001","1001"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","01"),("001","101"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","01"),("001","1011"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","01"),("001","11"),("1011","0")] => ([0,1,2,3],[]) => False
[("0","00"),("0","01"),("001","11"),("1011","10")] => ([0,1,2,3],[]) => False
[("0","00"),("0","01"),("001","110"),("0110","0")] => ([0,1,2,3],[]) => False
[("0","00"),("0","01"),("001","1101"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","01"),("001","111"),("0111","0")] => ([0,1,2,3],[]) => False
[("0","00"),("0","01"),("001","1110"),("0111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","01"),("001","1110"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","01"),("001","1111"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","01"),("0010","00"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","01"),("0010","0011"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","01"),("0010","011"),("0111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","01"),("0010","101"),("0111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","01"),("0010","101"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","01"),("0010","1011"),("0111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","01"),("0010","11"),("1011","0")] => ([0,1,2,3],[]) => False
[("0","00"),("0","01"),("0010","11"),("1111","11")] => ([0,1,2,3],[]) => False
[("0","00"),("0","01"),("0010","1101"),("0111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","01"),("0010","111"),("0111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","01"),("0010","1111"),("1111","11")] => ([0,1,2,3],[]) => False
[("0","00"),("0","01"),("0011","0"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","01"),("0011","01"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","01"),("0011","0111"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","01"),("0011","10"),("101","10")] => ([0,1,2,3],[]) => False
[("0","00"),("0","01"),("0011","10"),("1010","10")] => ([0,1,2,3],[]) => False
[("0","00"),("0","01"),("0011","10"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","01"),("0011","100"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","01"),("0011","101"),("0101","10")] => ([0,1,2,3],[]) => False
[("0","00"),("0","01"),("0011","1010"),("1010","10")] => ([0,1,2,3],[]) => False
[("0","00"),("0","01"),("0011","1011"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","01"),("0011","110"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","01"),("0011","1100"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","01"),("0011","1110"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","01"),("01","0"),("0111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","01"),("01","0"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","01"),("01","0011"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","01"),("01","1011"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","01"),("01","11"),("0110","0")] => ([0,1,2,3],[]) => False
[("0","00"),("0","01"),("01","1100"),("0111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","01"),("01","1101"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","01"),("01","1111"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","01"),("010","00"),("0111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","01"),("010","001"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","01"),("010","011"),("0110","0")] => ([0,1,2,3],[]) => False
[("0","00"),("0","01"),("010","0111"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","01"),("010","101"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","01"),("010","1011"),("0111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","01"),("010","110"),("1100","0")] => ([0,1,2,3],[]) => False
[("0","00"),("0","01"),("010","1100"),("0111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","01"),("010","111"),("0111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","01"),("010","111"),("1110","0")] => ([0,1,2,3],[]) => False
[("0","00"),("0","01"),("010","1110"),("111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","01"),("010","1110"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","01"),("0100","001"),("0111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","01"),("0100","001"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","01"),("0100","011"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","01"),("0100","101"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","01"),("0100","1011"),("0111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","01"),("0100","1011"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","01"),("0100","110"),("111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","01"),("0100","110"),("1111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","01"),("0100","1101"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","01"),("0100","111"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","01"),("0100","1110"),("1111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","01"),("0101","0"),("0111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","01"),("0101","0"),("1","110")] => ([0,1,2,3],[]) => False
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[("0","00"),("0","01"),("0101","10"),("1","011")] => ([0,1,2,3],[]) => False
[("0","00"),("0","01"),("0101","10"),("1","111")] => ([0,1,2,3],[]) => False
[("0","00"),("0","01"),("0101","10"),("1","1111")] => ([0,1,2,3],[]) => False
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[("0","00"),("0","01"),("0101","10"),("100","1010")] => ([0,1,2,3],[]) => False
[("0","00"),("0","01"),("0101","10"),("1000","011")] => ([0,1,2,3],[]) => False
[("0","00"),("0","01"),("0101","10"),("1000","1010")] => ([0,1,2,3],[]) => False
[("0","00"),("0","01"),("0101","10"),("1001","011")] => ([0,1,2,3],[]) => False
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[("0","00"),("0","01"),("0101","10"),("1011","111")] => ([0,1,2],[3]) => True
[("0","00"),("0","01"),("0101","10"),("1011","1110")] => ([0,1,2],[3]) => True
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[("0","00"),("0","01"),("0101","10"),("11","011")] => ([0,1,2,3],[]) => False
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[("0","00"),("0","01"),("0101","10"),("11","101")] => ([0,1,2,3],[]) => False
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[("0","00"),("0","01"),("0101","10"),("11","1111")] => ([0,1,2,3],[]) => False
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[("0","00"),("0","01"),("0101","10"),("110","0011")] => ([0,1,2,3],[]) => False
[("0","00"),("0","01"),("0101","10"),("110","010")] => ([0,1,2,3],[]) => False
[("0","00"),("0","01"),("0101","10"),("110","011")] => ([0,1,2,3],[]) => False
[("0","00"),("0","01"),("0101","10"),("110","0110")] => ([0,1,2,3],[]) => False
[("0","00"),("0","01"),("0101","10"),("110","0111")] => ([0,1,2,3],[]) => False
[("0","00"),("0","01"),("0101","10"),("110","101")] => ([0,1,2,3],[]) => False
[("0","00"),("0","01"),("0101","10"),("110","1010")] => ([0,1,2,3],[]) => False
[("0","00"),("0","01"),("0101","10"),("1100","0010")] => ([0,1,2,3],[]) => False
[("0","00"),("0","01"),("0101","10"),("1100","0011")] => ([0,1,2,3],[]) => False
[("0","00"),("0","01"),("0101","10"),("1100","010")] => ([0,1,2,3],[]) => False
[("0","00"),("0","01"),("0101","10"),("1100","011")] => ([0,1,2,3],[]) => False
[("0","00"),("0","01"),("0101","10"),("1100","0110")] => ([0,1,2,3],[]) => False
[("0","00"),("0","01"),("0101","10"),("1100","0111")] => ([0,1,2,3],[]) => False
[("0","00"),("0","01"),("0101","10"),("1100","101")] => ([0,1,2,3],[]) => False
[("0","00"),("0","01"),("0101","10"),("1100","1010")] => ([0,1,2,3],[]) => False
[("0","00"),("0","01"),("0101","10"),("1101","0011")] => ([0,1,2,3],[]) => False
[("0","00"),("0","01"),("0101","10"),("1101","011")] => ([0,1,2,3],[]) => False
[("0","00"),("0","01"),("0101","10"),("1101","0111")] => ([0,1,2,3],[]) => False
[("0","00"),("0","01"),("0101","10"),("1101","1010")] => ([0,1,2,3],[]) => False
[("0","00"),("0","01"),("0101","10"),("1101","1011")] => ([0,1,2,3],[]) => False
[("0","00"),("0","01"),("0101","10"),("1101","1110")] => ([0,1,2,3],[]) => False
[("0","00"),("0","01"),("0101","10"),("111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","01"),("0101","10"),("1111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","01"),("0101","100"),("0111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","01"),("0101","100"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","01"),("0101","1011"),("0111","1")] => ([0,1,2,3],[]) => False
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[("0","00"),("0","01"),("0101","11"),("0110","0")] => ([0,1,2,3],[]) => False
[("0","00"),("0","01"),("0101","11"),("1110","0")] => ([0,1,2,3],[]) => False
[("0","00"),("0","01"),("0101","110"),("111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","01"),("0101","110"),("1111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","01"),("0101","1101"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","01"),("0101","111"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","01"),("0101","1110"),("1111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","01"),("0101","1111"),("1110","1")] => ([0,1,3],[2]) => True
[("0","00"),("0","01"),("011","10"),("1010","10")] => ([0,1,2,3],[]) => False
[("0","00"),("0","01"),("011","10"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","01"),("011","1010"),("1010","10")] => ([0,1,2,3],[]) => False
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[("0","00"),("0","01"),("011","110"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","01"),("011","1100"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","01"),("011","1101"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","01"),("011","1110"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","01"),("0110","1100"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","01"),("0110","1101"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","01"),("0110","111"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","01"),("0111","0"),("101","11")] => ([0,1,2,3],[]) => False
[("0","00"),("0","01"),("0111","1"),("1","0111")] => ([0,1,2,3],[]) => False
[("0","00"),("0","01"),("0111","1"),("1","110")] => ([0,1,2,3],[]) => False
[("0","00"),("0","01"),("0111","1"),("1","1100")] => ([0,1,2,3],[]) => False
[("0","00"),("0","01"),("0111","1"),("1","1111")] => ([0,1,2,3],[]) => False
[("0","00"),("0","01"),("0111","1"),("10","1011")] => ([0,1,2,3],[]) => False
[("0","00"),("0","01"),("0111","1"),("10","1100")] => ([0,1,2,3],[]) => False
[("0","00"),("0","01"),("0111","1"),("10","1111")] => ([0,1,2,3],[]) => False
[("0","00"),("0","01"),("0111","1"),("100","01")] => ([0,1,2,3],[]) => False
[("0","00"),("0","01"),("0111","1"),("100","1011")] => ([0,1,2,3],[]) => False
[("0","00"),("0","01"),("0111","1"),("100","1111")] => ([0,1,2,3],[]) => False
[("0","00"),("0","01"),("0111","1"),("1000","001")] => ([0,1,2,3],[]) => False
[("0","00"),("0","01"),("0111","1"),("1000","01")] => ([0,1,2,3],[]) => False
[("0","00"),("0","01"),("0111","1"),("1000","011")] => ([0,1,2,3],[]) => False
[("0","00"),("0","01"),("0111","1"),("1000","101")] => ([0,1,2,3],[]) => False
[("0","00"),("0","01"),("0111","1"),("1000","1011")] => ([0,1,2,3],[]) => False
[("0","00"),("0","01"),("0111","1"),("1000","1111")] => ([0,1,2,3],[]) => False
[("0","00"),("0","01"),("0111","1"),("101","0")] => ([0,1,2,3],[]) => False
[("0","00"),("0","01"),("0111","1"),("101","00")] => ([0,1,2,3],[]) => False
[("0","00"),("0","01"),("0111","1"),("101","10")] => ([0,1,2,3],[]) => False
[("0","00"),("0","01"),("0111","1"),("101","1011")] => ([0,1,2,3],[]) => False
[("0","00"),("0","01"),("0111","1"),("101","1100")] => ([0,1,2,3],[]) => False
[("0","00"),("0","01"),("0111","1"),("101","1110")] => ([0,1,2,3],[]) => False
[("0","00"),("0","01"),("0111","1"),("101","1111")] => ([0,1,2,3],[]) => False
[("0","00"),("0","01"),("0111","1"),("1010","00")] => ([0,1,2,3],[]) => False
[("0","00"),("0","01"),("0111","1"),("1010","001")] => ([0,1,2,3],[]) => False
[("0","00"),("0","01"),("0111","1"),("1010","011")] => ([0,1,2,3],[]) => False
[("0","00"),("0","01"),("0111","1"),("1010","10")] => ([0,1,2,3],[]) => False
[("0","00"),("0","01"),("0111","1"),("1010","100")] => ([0,1,2,3],[]) => False
[("0","00"),("0","01"),("0111","1"),("1010","1011")] => ([0,1,2,3],[]) => False
[("0","00"),("0","01"),("0111","1"),("1010","110")] => ([0,1,2,3],[]) => False
[("0","00"),("0","01"),("0111","1"),("1010","1100")] => ([0,1,2,3],[]) => False
[("0","00"),("0","01"),("0111","1"),("1010","1111")] => ([0,1,2,3],[]) => False
[("0","00"),("0","01"),("0111","1"),("1100","0")] => ([0,1,2,3],[]) => False
[("0","00"),("0","01"),("0111","1"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","01"),("0111","110"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","01"),("0111","1100"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","01"),("0111","1101"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","01"),("0111","1110"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","01"),("1","0"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","01"),("1","0011"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","01"),("1","10"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","01"),("1","1100"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","01"),("1","1111"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","01"),("10","00"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","01"),("10","01"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","01"),("10","11"),("1100","0")] => ([0,1,2,3],[]) => False
[("0","00"),("0","01"),("10","11"),("1101","0")] => ([0,1,2,3],[]) => False
[("0","00"),("0","01"),("10","1100"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","01"),("100","001"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","01"),("100","01"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","01"),("100","011"),("1100","0")] => ([0,1,2,3],[]) => False
[("0","00"),("0","01"),("100","011"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","01"),("100","1011"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","01"),("100","1100"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","01"),("100","111"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","01"),("1000","001"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","01"),("1000","0011"),("1100","0")] => ([0,1,2,3],[]) => False
[("0","00"),("0","01"),("1000","0011"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","01"),("1000","01"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","01"),("1000","1001"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","01"),("1000","1011"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","01"),("1001","00"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","01"),("1001","0011"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","01"),("1001","01"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","01"),("1001","011"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","01"),("1001","0111"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","01"),("1001","100"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","01"),("1001","101"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","01"),("1001","1011"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","01"),("1001","11"),("101","0")] => ([0,1,2,3],[]) => False
[("0","00"),("0","01"),("1001","11"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","01"),("1001","110"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","01"),("1001","1100"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","01"),("1001","1101"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","01"),("1001","1110"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","01"),("101","0"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","01"),("101","00"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","01"),("101","0011"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","01"),("101","011"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","01"),("101","10"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","01"),("101","100"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","01"),("101","1011"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","01"),("101","1100"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","01"),("101","111"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","01"),("101","1111"),("1110","1")] => ([0,1,3],[2]) => True
[("0","00"),("0","01"),("1010","00"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","01"),("1010","001"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","01"),("1010","0011"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","01"),("1010","10"),("1011","10")] => ([0,1,2,3],[]) => False
[("0","00"),("0","01"),("1010","10"),("1011","1010")] => ([0,1,2,3],[]) => False
[("0","00"),("0","01"),("1010","10"),("11","10")] => ([0,1,2,3],[]) => False
[("0","00"),("0","01"),("1010","10"),("11","1010")] => ([0,1,2,3],[]) => False
[("0","00"),("0","01"),("1010","10"),("1100","1010")] => ([0,1,2,3],[]) => False
[("0","00"),("0","01"),("1010","10"),("1101","10")] => ([0,1,2,3],[]) => False
[("0","00"),("0","01"),("1010","10"),("1101","1010")] => ([0,1,2,3],[]) => False
[("0","00"),("0","01"),("1010","10"),("111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","01"),("1010","10"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","01"),("1010","10"),("1111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","01"),("1010","100"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","01"),("1010","1001"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","01"),("1010","1011"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","01"),("1010","11"),("1100","0")] => ([0,1,2,3],[]) => False
[("0","00"),("0","01"),("1010","11"),("1101","0")] => ([0,1,2,3],[]) => False
[("0","00"),("0","01"),("1010","1110"),("111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","01"),("1011","0"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","01"),("1011","00"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","01"),("1011","001"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","01"),("1011","0011"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","01"),("1011","01"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","01"),("1011","0111"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","01"),("1011","10"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","01"),("1011","100"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","01"),("1011","1001"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","01"),("1011","101"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","01"),("1011","11"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","01"),("1011","110"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","01"),("1011","1100"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","01"),("1011","1101"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","01"),("1011","1110"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","01"),("11","1110"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","01"),("1100","00"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","01"),("1100","011"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","01"),("1100","0111"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","01"),("1100","111"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","01"),("1100","111"),("1111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","01"),("1100","1110"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","01"),("1101","0"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","01"),("1101","0011"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","01"),("1101","011"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","01"),("1101","10"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","01"),("1101","110"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","01"),("1101","1100"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","01"),("1101","111"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","01"),("1101","111"),("1111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","01"),("1101","1110"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","010"),("000","001"),("0101","10")] => ([0,1,2,3],[]) => False
[("0","00"),("0","010"),("0001","000"),("0011","1")] => ([0,1,2,3],[]) => False
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[("0","00"),("0","010"),("0001","000"),("1100","1")] => ([0,1,2,3],[]) => False
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[("0","00"),("0","010"),("1001","111"),("1111","111")] => ([0,1,2,3],[]) => False
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[("0","00"),("0","0101"),("0001","0"),("011","1")] => ([0,1,2,3],[]) => False
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[("0","00"),("0","0101"),("0001","0"),("0111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0101"),("0001","0"),("1","110")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0101"),("0001","0"),("1","1100")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0101"),("0001","0"),("1001","1")] => ([0,1,2,3],[]) => False
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[("0","00"),("0","0101"),("0001","0"),("1101","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0101"),("0001","0"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0101"),("0001","00"),("1","110")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0101"),("0001","00"),("1","1100")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0101"),("0001","000"),("0110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0101"),("0001","000"),("1100","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0101"),("0001","0010"),("1001","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0101"),("0001","0011"),("0110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0101"),("0001","10"),("0101","0")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0101"),("0001","10"),("0101","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0101"),("0001","10"),("0110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0101"),("0001","10"),("0111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0101"),("0001","10"),("1001","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0101"),("0001","10"),("101","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0101"),("0001","10"),("101","10")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0101"),("0001","10"),("1010","10")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0101"),("0001","10"),("110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0101"),("0001","10"),("1100","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0101"),("0001","10"),("1101","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0101"),("0001","10"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0101"),("0001","1000"),("0110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0101"),("0001","1000"),("1100","10")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0101"),("0001","101"),("0101","10")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0101"),("0001","1010"),("1010","10")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0101"),("0001","11"),("111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0101"),("0001","11"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0101"),("0001","110"),("0110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0101"),("0001","110"),("0111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0101"),("0001","110"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0101"),("0001","111"),("1111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0101"),("0001","1111"),("1111","11")] => ([0,3],[1,2]) => True
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[("0","00"),("0","0101"),("001","0"),("1","110")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0101"),("001","0"),("1001","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0101"),("001","0"),("101","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0101"),("001","0"),("1101","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0101"),("001","0"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0101"),("001","00"),("0110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0101"),("001","00"),("1001","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0101"),("001","00"),("1100","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0101"),("001","000"),("0110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0101"),("001","0010"),("1001","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0101"),("001","0110"),("1100","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0101"),("001","10"),("0101","0")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0101"),("001","10"),("0101","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0101"),("001","10"),("0101","10")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0101"),("001","10"),("0110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0101"),("001","10"),("0111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0101"),("001","10"),("1001","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0101"),("001","10"),("1010","10")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0101"),("001","10"),("110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0101"),("001","10"),("1100","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0101"),("001","10"),("1101","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0101"),("001","10"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0101"),("001","100"),("1001","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0101"),("001","100"),("1100","10")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0101"),("001","1000"),("0110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0101"),("001","1000"),("110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0101"),("001","1000"),("1100","10")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0101"),("001","101"),("1010","10")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0101"),("001","1010"),("0101","10")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0101"),("001","1010"),("1010","10")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0101"),("001","11"),("0110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0101"),("001","11"),("1111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0101"),("001","11"),("1111","11")] => ([0,3],[1,2]) => True
[("0","00"),("0","0101"),("001","110"),("0110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0101"),("001","110"),("1100","1")] => ([0,1,2,3],[]) => False
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[("0","00"),("0","0101"),("001","1100"),("1100","1")] => ([0,1,2,3],[]) => False
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[("0","00"),("0","0101"),("01","10"),("1100","10")] => ([0,1,2,3],[]) => False
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[("0","00"),("0","0101"),("01","1000"),("1100","10")] => ([0,1,2,3],[]) => False
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[("0","00"),("0","0101"),("01","110"),("1100","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0101"),("01","110"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0101"),("01","1100"),("110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0101"),("01","1101"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0101"),("010","0"),("11","1")] => ([0,1,2,3],[]) => False
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[("0","00"),("0","0101"),("010","0"),("1100","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0101"),("010","0"),("1101","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0101"),("010","0"),("111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0101"),("010","0"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0101"),("010","0"),("1111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0101"),("010","00"),("1100","1")] => ([0,1,2,3],[]) => False
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[("0","00"),("0","0101"),("010","1000"),("1100","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0101"),("010","11"),("1100","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0101"),("010","11"),("111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0101"),("010","11"),("1111","11")] => ([0,3],[1,2]) => True
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[("0","00"),("0","0101"),("010","1111"),("111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0101"),("010","1111"),("1111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0101"),("010","1111"),("1111","11")] => ([0,3],[1,2]) => True
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[("0","00"),("0","0101"),("0100","1010"),("1010","10")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0101"),("0101","0"),("011","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0101"),("0101","0"),("0110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0101"),("0101","0"),("1001","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0101"),("0101","0"),("110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0101"),("0101","0"),("1100","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0101"),("0101","00"),("1100","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0101"),("0101","000"),("0110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0101"),("0101","000"),("1100","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0101"),("0101","0001"),("0110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0101"),("0101","0001"),("1100","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0101"),("0101","001"),("1100","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0101"),("0101","011"),("0110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0101"),("0101","0110"),("1001","01")] => ([0,1],[2,3]) => True
[("0","00"),("0","0101"),("0101","0111"),("1101","01")] => ([0,1],[2,3]) => True
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[("0","00"),("0","0101"),("0101","1"),("1","0110")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0101"),("0101","1"),("1000","01")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0101"),("0101","1"),("1001","01")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0101"),("0101","1"),("110","01")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0101"),("0101","1"),("1101","1010")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0101"),("0101","10"),("011","0001")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0101"),("0101","10"),("011","001")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0101"),("0101","10"),("011","0011")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0101"),("0101","10"),("011","01")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0101"),("0101","10"),("011","0100")] => ([0,1,2],[3]) => True
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[("0","00"),("0","0101"),("0101","10"),("011","100")] => ([0,1,2],[3]) => True
[("0","00"),("0","0101"),("0101","10"),("011","1001")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0101"),("0101","10"),("011","110")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0101"),("0101","10"),("011","1100")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0101"),("0101","10"),("011","1101")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0101"),("0101","10"),("0110","0001")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0101"),("0101","10"),("0110","001")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0101"),("0101","10"),("0110","0011")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0101"),("0101","10"),("0110","0100")] => ([0,1,2],[3]) => True
[("0","00"),("0","0101"),("0101","10"),("0110","100")] => ([0,1,2],[3]) => True
[("0","00"),("0","0101"),("0101","10"),("0110","1001")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0101"),("0101","10"),("0110","1100")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0101"),("0101","10"),("0111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0101"),("0101","10"),("0111","11")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0101"),("0101","10"),("1","0011")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0101"),("0101","10"),("1","011")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0101"),("0101","10"),("1","1100")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0101"),("0101","10"),("1","111")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0101"),("0101","10"),("1","1111")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0101"),("0101","10"),("10","1010")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0101"),("0101","10"),("100","0001")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0101"),("0101","10"),("100","011")] => ([0,1,2],[3]) => True
[("0","00"),("0","0101"),("0101","10"),("100","1010")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0101"),("0101","10"),("1000","0100")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0101"),("0101","10"),("1000","1001")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0101"),("0101","10"),("1000","1010")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0101"),("0101","10"),("1001","0001")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0101"),("0101","10"),("1001","0011")] => ([0,1,2],[3]) => True
[("0","00"),("0","0101"),("0101","10"),("1001","011")] => ([0,1,2],[3]) => True
[("0","00"),("0","0101"),("0101","10"),("1001","1000")] => ([0,1,2],[3]) => True
[("0","00"),("0","0101"),("0101","10"),("1001","101")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0101"),("0101","10"),("1001","1010")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0101"),("0101","10"),("101","0110")] => ([0,1,2],[3]) => True
[("0","00"),("0","0101"),("0101","10"),("101","10")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0101"),("0101","10"),("1010","1011")] => ([0,1,2],[3]) => True
[("0","00"),("0","0101"),("0101","10"),("1010","11")] => ([0,1,2],[3]) => True
[("0","00"),("0","0101"),("0101","10"),("1011","011")] => ([0,1,2],[3]) => True
[("0","00"),("0","0101"),("0101","10"),("1011","0110")] => ([0,1,2],[3]) => True
[("0","00"),("0","0101"),("0101","10"),("1011","0111")] => ([0,1,2],[3]) => True
[("0","00"),("0","0101"),("0101","10"),("1011","1001")] => ([0,1,2],[3]) => True
[("0","00"),("0","0101"),("0101","10"),("1011","111")] => ([0,1,2],[3]) => True
[("0","00"),("0","0101"),("0101","10"),("11","0001")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0101"),("0101","10"),("11","001")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0101"),("0101","10"),("11","0011")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0101"),("0101","10"),("11","01")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0101"),("0101","10"),("11","0100")] => ([0,1,2],[3]) => True
[("0","00"),("0","0101"),("0101","10"),("11","011")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0101"),("0101","10"),("11","0110")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0101"),("0101","10"),("11","0111")] => ([0,1,2],[3]) => True
[("0","00"),("0","0101"),("0101","10"),("11","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0101"),("0101","10"),("11","100")] => ([0,1,2],[3]) => True
[("0","00"),("0","0101"),("0101","10"),("11","1001")] => ([0,1,2],[3]) => True
[("0","00"),("0","0101"),("0101","10"),("11","101")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0101"),("0101","10"),("11","1011")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0101"),("0101","10"),("11","110")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0101"),("0101","10"),("11","1100")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0101"),("0101","10"),("11","1101")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0101"),("0101","10"),("11","1110")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0101"),("0101","10"),("11","1111")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0101"),("0101","10"),("110","0001")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0101"),("0101","10"),("110","001")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0101"),("0101","10"),("110","0010")] => ([0,1,2],[3]) => True
[("0","00"),("0","0101"),("0101","10"),("110","0011")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0101"),("0101","10"),("110","01")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0101"),("0101","10"),("110","010")] => ([0,1,2],[3]) => True
[("0","00"),("0","0101"),("0101","10"),("110","0100")] => ([0,1,2],[3]) => True
[("0","00"),("0","0101"),("0101","10"),("110","011")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0101"),("0101","10"),("110","0110")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0101"),("0101","10"),("110","0111")] => ([0,1,2],[3]) => True
[("0","00"),("0","0101"),("0101","10"),("110","10")] => ([0,1,2],[3]) => True
[("0","00"),("0","0101"),("0101","10"),("110","100")] => ([0,1,2],[3]) => True
[("0","00"),("0","0101"),("0101","10"),("110","1001")] => ([0,1,2],[3]) => True
[("0","00"),("0","0101"),("0101","10"),("110","101")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0101"),("0101","10"),("110","1010")] => ([0,1,2],[3]) => True
[("0","00"),("0","0101"),("0101","10"),("110","1100")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0101"),("0101","10"),("110","1101")] => ([0,1,2],[3]) => True
[("0","00"),("0","0101"),("0101","10"),("1100","0001")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0101"),("0101","10"),("1100","001")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0101"),("0101","10"),("1100","0011")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0101"),("0101","10"),("1100","01")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0101"),("0101","10"),("1100","010")] => ([0,1,2],[3]) => True
[("0","00"),("0","0101"),("0101","10"),("1100","0100")] => ([0,1,2],[3]) => True
[("0","00"),("0","0101"),("0101","10"),("1100","011")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0101"),("0101","10"),("1100","0110")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0101"),("0101","10"),("1100","0111")] => ([0,1,2],[3]) => True
[("0","00"),("0","0101"),("0101","10"),("1100","100")] => ([0,1,2],[3]) => True
[("0","00"),("0","0101"),("0101","10"),("1100","1001")] => ([0,1,2],[3]) => True
[("0","00"),("0","0101"),("0101","10"),("1100","101")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0101"),("0101","10"),("1101","0000")] => ([0,1,2],[3]) => True
[("0","00"),("0","0101"),("0101","10"),("1101","0001")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0101"),("0101","10"),("1101","001")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0101"),("0101","10"),("1101","0011")] => ([0,1,2],[3]) => True
[("0","00"),("0","0101"),("0101","10"),("1101","01")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0101"),("0101","10"),("1101","010")] => ([0,1,2],[3]) => True
[("0","00"),("0","0101"),("0101","10"),("1101","0100")] => ([0,1,2],[3]) => True
[("0","00"),("0","0101"),("0101","10"),("1101","011")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0101"),("0101","10"),("1101","0110")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0101"),("0101","10"),("1101","0111")] => ([0,1,2],[3]) => True
[("0","00"),("0","0101"),("0101","10"),("1101","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0101"),("0101","10"),("1101","100")] => ([0,1,2],[3]) => True
[("0","00"),("0","0101"),("0101","10"),("1101","1001")] => ([0,1,2],[3]) => True
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[("0","00"),("0","0101"),("0101","10"),("1101","1011")] => ([0,1,2,3],[]) => False
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[("0","00"),("0","0101"),("0110","1"),("101","0")] => ([0,1,2,3],[]) => False
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[("0","00"),("0","0101"),("0110","1"),("1101","0")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0101"),("0110","1"),("1101","01")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0101"),("0110","1"),("1101","10")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0101"),("0110","10"),("1010","10")] => ([0,1,3],[2]) => True
[("0","00"),("0","0101"),("0110","1010"),("1010","10")] => ([0,1,3],[2]) => True
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[("0","00"),("0","0101"),("0111","01"),("101","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0101"),("0111","1"),("10","1011")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0101"),("0111","1"),("10","110")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0101"),("0111","1"),("101","1011")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0101"),("0111","1"),("1010","10")] => ([0,1,2,3],[]) => False
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[("0","00"),("0","0101"),("0111","11"),("1","110")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0101"),("0111","11"),("1","1100")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0101"),("0111","11"),("1","1110")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0101"),("0111","11"),("10","1100")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0101"),("1","0"),("1001","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0101"),("1","0"),("1100","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0101"),("1","0010"),("1001","1")] => ([0,1,2,3],[]) => False
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[("0","00"),("0","0101"),("1","011"),("1100","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0101"),("1","011"),("1100","10")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0101"),("1","0110"),("101","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0101"),("1","0110"),("1010","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0101"),("1","0110"),("110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0101"),("1","0110"),("1100","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0101"),("1","0110"),("1100","10")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0101"),("1","0111"),("100","0")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0101"),("1","0111"),("1000","0")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0101"),("1","0111"),("1000","00")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0101"),("1","0111"),("110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0101"),("1","0111"),("1100","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0101"),("1","0111"),("1100","10")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0101"),("1","0111"),("1110","11")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0101"),("1","10"),("1001","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0101"),("1","10"),("1010","10")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0101"),("1","10"),("110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0101"),("1","100"),("110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0101"),("1","100"),("1100","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0101"),("1","1000"),("110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0101"),("1","1000"),("1100","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0101"),("1","1000"),("1100","10")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0101"),("1","1001"),("110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0101"),("1","1001"),("1100","10")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0101"),("1","1010"),("1010","10")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0101"),("1","1010"),("110","1")] => ([0,1,2,3],[]) => False
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[("0","00"),("0","0101"),("1","1011"),("1000","00")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0101"),("1","1011"),("1100","10")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0101"),("1","110"),("110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0101"),("1","110"),("1100","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0101"),("1","110"),("1100","10")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0101"),("1","110"),("1110","11")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0101"),("1","1100"),("100","0")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0101"),("1","1100"),("110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0101"),("1","1100"),("1100","10")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0101"),("1","1100"),("1110","11")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0101"),("1","1101"),("110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0101"),("1","111"),("100","0")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0101"),("1","111"),("1000","0")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0101"),("1","111"),("1000","00")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0101"),("1","111"),("110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0101"),("1","111"),("1100","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0101"),("1","111"),("1100","10")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0101"),("1","111"),("1110","11")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0101"),("1","1110"),("1100","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0101"),("1","1110"),("1100","10")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0101"),("1","1111"),("100","0")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0101"),("1","1111"),("1000","0")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0101"),("1","1111"),("110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0101"),("1","1111"),("1100","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0101"),("1","1111"),("1100","10")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0101"),("1","1111"),("1110","11")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0101"),("10","0"),("1001","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0101"),("10","0"),("110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0101"),("10","0"),("1100","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0101"),("10","11"),("1101","0")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0101"),("10","110"),("1100","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0101"),("10","110"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0101"),("100","0"),("1001","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0101"),("100","0"),("1101","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0101"),("100","00"),("1001","1")] => ([0,2,3],[1]) => True
[("0","00"),("0","0101"),("100","001"),("1001","1")] => ([0,2,3],[1]) => True
[("0","00"),("0","0101"),("1000","0"),("1001","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0101"),("1000","0"),("1101","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0101"),("1000","010"),("1010","10")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0101"),("1001","0"),("1001","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0101"),("1001","0"),("101","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0101"),("1001","0"),("101","11")] => ([0,1],[2,3]) => True
[("0","00"),("0","0101"),("1001","0"),("1100","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0101"),("1001","1"),("101","0")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0101"),("1001","10"),("1010","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0101"),("1001","10"),("1010","10")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0101"),("1001","1010"),("1010","10")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0101"),("1001","11"),("101","0")] => ([0,1,3],[2]) => True
[("0","00"),("0","0101"),("101","0"),("110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0101"),("101","0"),("1100","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0101"),("101","01"),("1100","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0101"),("101","0110"),("1100","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0101"),("101","1"),("110","0")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0101"),("101","1"),("1100","0")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0101"),("101","1"),("1110","0")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0101"),("101","1"),("1110","01")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0101"),("101","1"),("1110","10")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0101"),("101","10"),("110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0101"),("101","1011"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0101"),("101","11"),("1100","10")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0101"),("101","1111"),("1111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0101"),("1010","000"),("1100","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0101"),("1010","1"),("1101","0")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0101"),("1010","1"),("1101","10")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0101"),("1010","10"),("1011","10")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0101"),("1010","10"),("1011","1010")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0101"),("1010","10"),("11","10")] => ([0,1,2],[3]) => True
[("0","00"),("0","0101"),("1010","10"),("11","1010")] => ([0,1,2],[3]) => True
[("0","00"),("0","0101"),("1010","10"),("110","10")] => ([0,1,2],[3]) => True
[("0","00"),("0","0101"),("1010","10"),("110","1010")] => ([0,1,2],[3]) => True
[("0","00"),("0","0101"),("1010","10"),("1100","10")] => ([0,1,2],[3]) => True
[("0","00"),("0","0101"),("1010","10"),("1100","1010")] => ([0,1,2],[3]) => True
[("0","00"),("0","0101"),("1010","10"),("1101","10")] => ([0,1,2],[3]) => True
[("0","00"),("0","0101"),("1010","10"),("1101","1010")] => ([0,1,2],[3]) => True
[("0","00"),("0","0101"),("1010","10"),("111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0101"),("1010","10"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0101"),("1010","10"),("1111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0101"),("1010","1000"),("1100","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0101"),("1010","11"),("1100","0")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0101"),("1010","11"),("1111","11")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0101"),("1010","110"),("1100","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0101"),("1010","1101"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0101"),("1010","1111"),("1111","11")] => ([0,1,2,3],[]) => False
[("0","00"),("0","011"),("000","010"),("1101","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","011"),("0000","010"),("1101","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","011"),("0001","0"),("0011","001")] => ([0,1,2,3],[]) => False
[("0","00"),("0","011"),("0001","0"),("1001","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","011"),("0001","0"),("1011","010")] => ([0,1,2,3],[]) => False
[("0","00"),("0","011"),("0001","0"),("1101","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","011"),("0001","10"),("1001","01")] => ([0,1,2,3],[]) => False
[("0","00"),("0","011"),("0001","10"),("101","1")] => ([0,2,3],[1]) => True
[("0","00"),("0","011"),("0001","111"),("1111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","011"),("001","0"),("0011","01")] => ([0,1,2,3],[]) => False
[("0","00"),("0","011"),("001","0"),("1001","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","011"),("001","0"),("1101","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","011"),("001","111"),("1111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","011"),("0010","0"),("0011","010")] => ([0,1,2,3],[]) => False
[("0","00"),("0","011"),("0010","0"),("011","01")] => ([0,1,2,3],[]) => False
[("0","00"),("0","011"),("0010","0"),("0110","001")] => ([0,1,2,3],[]) => False
[("0","00"),("0","011"),("0010","0"),("1","1010")] => ([0,1,2,3],[]) => False
[("0","00"),("0","011"),("0010","0"),("1101","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","011"),("0011","001"),("1001","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","011"),("0011","01"),("01","1010")] => ([0,1,2,3],[]) => False
[("0","00"),("0","011"),("0011","01"),("0101","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","011"),("0011","01"),("0101","10")] => ([0,1,2,3],[]) => False
[("0","00"),("0","011"),("0011","01"),("1","1101")] => ([0,1,2,3],[]) => False
[("0","00"),("0","011"),("0011","01"),("10","1100")] => ([0,1,2,3],[]) => False
[("0","00"),("0","011"),("0011","01"),("101","11")] => ([0,1,2,3],[]) => False
[("0","00"),("0","011"),("0011","01"),("1010","01")] => ([0,1,2,3],[]) => False
[("0","00"),("0","011"),("0011","01"),("1101","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","011"),("0011","010"),("0101","10")] => ([0,1,2,3],[]) => False
[("0","00"),("0","011"),("0011","010"),("1001","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","011"),("0011","010"),("1010","01")] => ([0,1,2,3],[]) => False
[("0","00"),("0","011"),("0011","010"),("1010","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","011"),("0011","010"),("1101","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","011"),("0011","0101"),("0101","10")] => ([0,1,2,3],[]) => False
[("0","00"),("0","011"),("0011","0101"),("1010","01")] => ([0,1,2,3],[]) => False
[("0","00"),("0","011"),("0011","10"),("010","0")] => ([0,1,2,3],[]) => False
[("0","00"),("0","011"),("0011","10"),("0101","0")] => ([0,1,2,3],[]) => False
[("0","00"),("0","011"),("0011","10"),("0101","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","011"),("0011","10"),("1001","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","011"),("0011","10"),("1010","01")] => ([0,1,2,3],[]) => False
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[("0","00"),("0","011"),("0011","100"),("0100","0")] => ([0,1,2,3],[]) => False
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[("0","00"),("0","011"),("0110","010"),("1101","1")] => ([0,1,2,3],[]) => False
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[("0","00"),("0","011"),("0110","101"),("1111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","011"),("0110","1010"),("1010","01")] => ([0,1,2,3],[]) => False
[("0","00"),("0","011"),("0110","1101"),("1111","1")] => ([0,1,2,3],[]) => False
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[("0","00"),("0","011"),("0111","10"),("1101","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","011"),("0111","11"),("1","110")] => ([0,1,2,3],[]) => False
[("0","00"),("0","011"),("0111","11"),("1","1100")] => ([0,1,2,3],[]) => False
[("0","00"),("0","011"),("1","0"),("1101","1")] => ([0,1,2,3],[]) => False
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[("0","00"),("0","011"),("1","010"),("1101","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","011"),("1","0101"),("1101","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","011"),("1","011"),("1100","10")] => ([0,1,2,3],[]) => False
[("0","00"),("0","011"),("1","011"),("1101","1")] => ([0,1,2,3],[]) => False
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[("0","00"),("0","011"),("1","10"),("1010","01")] => ([0,1,2,3],[]) => False
[("0","00"),("0","011"),("1","100"),("1001","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","011"),("1","101"),("1010","01")] => ([0,1,2,3],[]) => False
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[("0","00"),("0","011"),("1","1010"),("1101","1")] => ([0,1,2,3],[]) => False
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[("0","00"),("0","011"),("10","0101"),("1100","10")] => ([0,1,2,3],[]) => False
[("0","00"),("0","011"),("100","0"),("1100","01")] => ([0,1,2,3],[]) => False
[("0","00"),("0","011"),("100","010"),("1101","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","011"),("100","111"),("1111","1")] => ([0,1,2,3],[]) => False
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[("0","00"),("0","011"),("1000","01"),("101","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","011"),("1000","111"),("1111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","011"),("1001","0"),("101","1")] => ([0,1,2,3],[]) => False
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[("0","00"),("0","011"),("1001","1"),("1011","10")] => ([0,1,2,3],[]) => False
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[("0","00"),("0","011"),("1001","1"),("110","01")] => ([0,1,2,3],[]) => False
[("0","00"),("0","011"),("1001","1"),("110","10")] => ([0,1,2,3],[]) => False
[("0","00"),("0","011"),("1001","1"),("1100","001")] => ([0,1,2,3],[]) => False
[("0","00"),("0","011"),("1001","1"),("1100","0010")] => ([0,1,2,3],[]) => False
[("0","00"),("0","011"),("1001","1"),("1100","010")] => ([0,1,2,3],[]) => False
[("0","00"),("0","011"),("1001","1"),("1101","0")] => ([0,1,2,3],[]) => False
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[("0","00"),("0","011"),("101","1"),("1010","0")] => ([0,1,2,3],[]) => False
[("0","00"),("0","011"),("101","1"),("1011","0")] => ([0,1,2,3],[]) => False
[("0","00"),("0","011"),("101","1"),("1011","01")] => ([0,1,2,3],[]) => False
[("0","00"),("0","011"),("101","1"),("1011","10")] => ([0,1,2,3],[]) => False
[("0","00"),("0","011"),("101","1"),("1011","101")] => ([0,1,2,3],[]) => False
[("0","00"),("0","011"),("101","1"),("1101","110")] => ([0,2,3],[1]) => True
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[("0","00"),("0","011"),("101","1"),("1111","0")] => ([0,1,2,3],[]) => False
[("0","00"),("0","011"),("101","1"),("1111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","011"),("101","10"),("1101","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","011"),("101","11"),("1011","10")] => ([0,1,2,3],[]) => False
[("0","00"),("0","011"),("101","11"),("1111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","011"),("101","111"),("1111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","011"),("101","1111"),("1111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","011"),("1010","0"),("1100","01")] => ([0,1,2,3],[]) => False
[("0","00"),("0","011"),("1010","0"),("1101","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","011"),("1010","01"),("11","01")] => ([0,1,2,3],[]) => False
[("0","00"),("0","011"),("1010","01"),("11","0101")] => ([0,1,2,3],[]) => False
[("0","00"),("0","011"),("1010","01"),("11","10")] => ([0,1,2,3],[]) => False
[("0","00"),("0","011"),("1010","01"),("11","1010")] => ([0,1,2,3],[]) => False
[("0","00"),("0","011"),("1010","01"),("110","010")] => ([0,1,2,3],[]) => False
[("0","00"),("0","011"),("1010","01"),("110","101")] => ([0,1,2,3],[]) => False
[("0","00"),("0","011"),("1010","01"),("1100","010")] => ([0,1,2,3],[]) => False
[("0","00"),("0","011"),("1010","01"),("1100","10")] => ([0,1,2,3],[]) => False
[("0","00"),("0","011"),("1010","01"),("1100","1010")] => ([0,1,2,3],[]) => False
[("0","00"),("0","011"),("1010","01"),("1101","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","011"),("1010","1"),("11","0")] => ([0,1,2,3],[]) => False
[("0","00"),("0","011"),("1010","1"),("11","010")] => ([0,1,2,3],[]) => False
[("0","00"),("0","011"),("1010","1"),("11","0101")] => ([0,1,2,3],[]) => False
[("0","00"),("0","011"),("1010","1"),("110","10")] => ([0,1,2,3],[]) => False
[("0","00"),("0","011"),("1010","1"),("1100","010")] => ([0,1,2,3],[]) => False
[("0","00"),("0","011"),("1010","10"),("110","10")] => ([0,1,2,3],[]) => False
[("0","00"),("0","011"),("1010","10"),("110","1010")] => ([0,1,2,3],[]) => False
[("0","00"),("0","011"),("1011","0"),("1101","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","011"),("1011","010"),("1101","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","011"),("1011","110"),("1101","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","011"),("1011","111"),("1111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","011"),("11","0"),("1101","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","011"),("11","0111"),("1100","10")] => ([0,1,2,3],[]) => False
[("0","00"),("0","011"),("11","10"),("1101","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","011"),("11","1010"),("1101","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","011"),("11","1011"),("1101","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","011"),("11","1110"),("1101","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","011"),("110","010"),("1101","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","011"),("1100","01"),("1100","10")] => ([0,1,2,3],[]) => False
[("0","00"),("0","011"),("1100","01"),("1101","11")] => ([0,1,2,3],[]) => False
[("0","00"),("0","011"),("1100","010"),("1101","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","011"),("1100","0101"),("1101","1")] => ([0,1],[2,3]) => True
[("0","00"),("0","011"),("1100","10"),("1110","11")] => ([0,1,2,3],[]) => False
[("0","00"),("0","011"),("1101","0"),("1101","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","011"),("1101","1"),("111","0")] => ([0,1,2,3],[]) => False
[("0","00"),("0","011"),("1101","1"),("111","10")] => ([0,1,2,3],[]) => False
[("0","00"),("0","011"),("1101","1"),("1110","0")] => ([0,1,2,3],[]) => False
[("0","00"),("0","011"),("1101","1"),("1111","0")] => ([0,1,2,3],[]) => False
[("0","00"),("0","011"),("1101","1"),("1111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","011"),("1101","1"),("1111","10")] => ([0,1,2,3],[]) => False
[("0","00"),("0","011"),("1101","111"),("1111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","011"),("1101","1111"),("1111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0110"),("0001","0"),("0011","01")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0110"),("0001","0"),("1","1101")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0110"),("0001","0"),("10","010")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0110"),("0001","0"),("101","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0110"),("0001","0"),("1010","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0110"),("0001","00"),("1","1101")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0110"),("0001","0010"),("1001","1")] => ([0,2,3],[1]) => True
[("0","00"),("0","0110"),("001","0"),("1","1101")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0110"),("001","0"),("1010","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0110"),("001","0"),("11","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0110"),("001","10"),("1001","1")] => ([0,2,3],[1]) => True
[("0","00"),("0","0110"),("001","100"),("1001","1")] => ([0,2,3],[1]) => True
[("0","00"),("0","0110"),("0010","0"),("0011","10")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0110"),("0010","0"),("0110","01")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0110"),("0010","0"),("1001","01")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0110"),("0010","11"),("11","1")] => ([0,1,2,3],[]) => False
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[("0","00"),("0","0110"),("0010","1111"),("11","1")] => ([0,1,2,3],[]) => False
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[("0","00"),("0","0110"),("0011","1010"),("1010","10")] => ([0,1,2,3],[]) => False
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[("0","00"),("0","0110"),("01","10"),("1001","1")] => ([0,2,3],[1]) => True
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[("0","00"),("0","0110"),("0101","01"),("11","0101")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0110"),("0101","010"),("1001","1")] => ([0,1,2,3],[]) => False
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[("0","00"),("0","0110"),("0101","1"),("1","10")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0110"),("0101","1"),("1001","0")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0110"),("0101","1"),("110","0")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0110"),("0101","10"),("011","01")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0110"),("0101","10"),("011","0101")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0110"),("0101","10"),("1","01")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0110"),("0101","10"),("1","1101")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0110"),("0101","10"),("1001","1")] => ([0,2,3],[1]) => True
[("0","00"),("0","0110"),("0101","10"),("11","0101")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0110"),("0101","10"),("11","101")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0110"),("0101","10"),("110","0101")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0110"),("0101","10"),("110","101")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0110"),("0101","10"),("110","1010")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0110"),("011","0"),("1001","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0110"),("011","0010"),("1001","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0110"),("011","01"),("1001","1")] => ([0,1,2,3],[]) => False
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[("0","00"),("0","0110"),("011","0111"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0110"),("011","1011"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0110"),("011","1101"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0110"),("011","1110"),("0111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0110"),("0110","0"),("1001","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0110"),("0110","01"),("0111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0110"),("0110","01"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0110"),("0110","010"),("1001","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0110"),("0110","101"),("0111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0110"),("0110","1011"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0110"),("0111","0"),("1001","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0110"),("0111","0010"),("1001","1")] => ([0,2,3],[1]) => True
[("0","00"),("0","0110"),("0111","01"),("1001","1")] => ([0,2,3],[1]) => True
[("0","00"),("0","0110"),("0111","1"),("1001","01")] => ([0,2,3],[1]) => True
[("0","00"),("0","0110"),("0111","1"),("1001","011")] => ([0,2,3],[1]) => True
[("0","00"),("0","0110"),("0111","1"),("1001","10")] => ([0,2,3],[1]) => True
[("0","00"),("0","0110"),("0111","1"),("1001","101")] => ([0,2,3],[1]) => True
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[("0","00"),("0","0110"),("1","00"),("1001","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0110"),("1001","0"),("1001","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0110"),("1001","0"),("101","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0110"),("1001","01"),("1001","10")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0110"),("1001","1"),("101","0")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0110"),("1001","1"),("101","01")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0110"),("1001","1"),("1011","0")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0110"),("1001","1"),("1011","01")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0110"),("1001","1"),("1011","10")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0110"),("1001","1"),("11","0")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0110"),("1001","1"),("11","00")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0110"),("1001","1"),("11","0010")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0110"),("1001","1"),("11","01")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0110"),("1001","1"),("11","101")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0110"),("1001","1"),("111","0")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0110"),("1001","1"),("111","00")] => ([0,2,3],[1]) => True
[("0","00"),("0","0110"),("1001","1"),("111","01")] => ([0,2,3],[1]) => True
[("0","00"),("0","0110"),("1001","1"),("111","1")] => ([0,2,3],[1]) => True
[("0","00"),("0","0110"),("1001","1"),("111","101")] => ([0,2,3],[1]) => True
[("0","00"),("0","0110"),("1001","1"),("111","11")] => ([0,2,3],[1]) => True
[("0","00"),("0","0110"),("1001","1"),("1111","0")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0110"),("1001","1"),("1111","00")] => ([0,2,3],[1]) => True
[("0","00"),("0","0110"),("1001","1"),("1111","01")] => ([0,2,3],[1]) => True
[("0","00"),("0","0110"),("1001","1"),("1111","1")] => ([0,2,3],[1]) => True
[("0","00"),("0","0110"),("1001","1"),("1111","101")] => ([0,2,3],[1]) => True
[("0","00"),("0","0110"),("1001","1"),("1111","11")] => ([0,2,3],[1]) => True
[("0","00"),("0","0110"),("1001","1"),("1111","111")] => ([0,2,3],[1]) => True
[("0","00"),("0","0110"),("1001","11"),("111","1")] => ([0,2,3],[1]) => True
[("0","00"),("0","0110"),("1001","11"),("111","11")] => ([0,2,3],[1]) => True
[("0","00"),("0","0110"),("1001","11"),("1111","1")] => ([0,2,3],[1]) => True
[("0","00"),("0","0110"),("1001","11"),("1111","11")] => ([0,3],[1,2]) => True
[("0","00"),("0","0110"),("1001","11"),("1111","111")] => ([0,2,3],[1]) => True
[("0","00"),("0","0110"),("1001","111"),("111","1")] => ([0,2,3],[1]) => True
[("0","00"),("0","0110"),("1001","111"),("111","11")] => ([0,2,3],[1]) => True
[("0","00"),("0","0110"),("1001","111"),("1111","1")] => ([0,2,3],[1]) => True
[("0","00"),("0","0110"),("1001","111"),("1111","11")] => ([0,2,3],[1]) => True
[("0","00"),("0","0110"),("1001","111"),("1111","111")] => ([0,2,3],[1]) => True
[("0","00"),("0","0110"),("1001","1111"),("111","1")] => ([0,2,3],[1]) => True
[("0","00"),("0","0110"),("1001","1111"),("111","11")] => ([0,2,3],[1]) => True
[("0","00"),("0","0110"),("1001","1111"),("1111","1")] => ([0,2,3],[1]) => True
[("0","00"),("0","0110"),("1001","1111"),("1111","11")] => ([0,3],[1,2]) => True
[("0","00"),("0","0110"),("1001","1111"),("1111","111")] => ([0,2,3],[1]) => True
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[("0","00"),("0","0111"),("0001","0"),("11","010")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0111"),("0001","000"),("1100","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0111"),("0001","10"),("110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0111"),("0001","10"),("1100","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0111"),("0001","10"),("1101","1")] => ([0,2,3],[1]) => True
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[("0","00"),("0","0111"),("001","0"),("1011","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0111"),("001","000"),("1100","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0111"),("001","0110"),("1100","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0111"),("001","10"),("110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0111"),("001","10"),("1100","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0111"),("001","10"),("1101","1")] => ([0,2,3],[1]) => True
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[("0","00"),("0","0111"),("001","1000"),("1100","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0111"),("001","1100"),("1100","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0111"),("0010","0"),("0111","01")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0111"),("0010","0"),("1011","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0111"),("0010","0"),("1101","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0111"),("0011","0"),("1001","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0111"),("0011","0"),("110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0111"),("0011","0"),("1100","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0111"),("0011","0"),("1101","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0111"),("0011","0"),("111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0111"),("0011","00"),("1100","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0111"),("0011","000"),("1100","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0111"),("0011","0001"),("1100","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0111"),("0011","01"),("1","110")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0111"),("0011","01"),("1001","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0111"),("0011","01"),("1100","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0111"),("0011","0110"),("1100","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0111"),("0011","1"),("0111","0")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0111"),("0011","1"),("0111","00")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0111"),("0011","1"),("0111","000")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0111"),("0011","1"),("0111","0001")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0111"),("0011","1"),("0111","01")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0111"),("0011","1"),("0111","10")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0111"),("0011","1"),("0111","1000")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0111"),("0011","1"),("0111","11")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0111"),("0011","1"),("1","00")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0111"),("0011","1"),("1","000")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0111"),("0011","1"),("1","0001")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0111"),("0011","1"),("1","001")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0111"),("0011","1"),("1","01")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0111"),("0011","1"),("1","0110")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0111"),("0011","1"),("1","1000")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0111"),("0011","1"),("1","110")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0111"),("0011","1"),("10","000")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0111"),("0011","1"),("10","0001")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0111"),("0011","1"),("10","01")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0111"),("0011","1"),("10","1000")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0111"),("0011","1"),("100","00")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0111"),("0011","1"),("100","000")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0111"),("0011","1"),("100","0001")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0111"),("0011","1"),("100","001")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0111"),("0011","1"),("100","0011")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0111"),("0011","1"),("100","01")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0111"),("0011","1"),("100","0110")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0111"),("0011","1"),("100","1000")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0111"),("0011","1"),("1000","000")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0111"),("0011","1"),("1000","0001")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0111"),("0011","1"),("1000","01")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0111"),("0011","1"),("1001","0")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0111"),("0011","1"),("1001","00")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0111"),("0011","1"),("1001","000")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0111"),("0011","1"),("1001","0001")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0111"),("0011","1"),("1001","01")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0111"),("0011","1"),("1001","10")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0111"),("0011","1"),("1001","100")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0111"),("0011","1"),("1001","1000")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0111"),("0011","1"),("101","0")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0111"),("0011","1"),("101","01")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0111"),("0011","1"),("101","10")] => ([0,2,3],[1]) => True
[("0","00"),("0","0111"),("0011","1"),("1010","0")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0111"),("0011","1"),("1010","01")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0111"),("0011","1"),("1010","10")] => ([0,2,3],[1]) => True
[("0","00"),("0","0111"),("0011","1"),("1011","0")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0111"),("0011","1"),("1011","01")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0111"),("0011","1"),("11","0")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0111"),("0011","1"),("11","00")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0111"),("0011","1"),("11","000")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0111"),("0011","1"),("11","0001")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0111"),("0011","1"),("11","01")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0111"),("0011","1"),("11","10")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0111"),("0011","1"),("11","100")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0111"),("0011","1"),("11","1000")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0111"),("0011","1"),("11","110")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0111"),("0011","1"),("110","000")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0111"),("0011","1"),("110","01")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0111"),("0011","1"),("110","0110")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0111"),("0011","1"),("110","10")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0111"),("0011","1"),("110","1000")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0111"),("0011","1"),("1100","000")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0111"),("0011","1"),("1100","0001")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0111"),("0011","1"),("1100","01")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0111"),("0011","1"),("1100","011")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0111"),("0011","1"),("1100","0110")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0111"),("0011","1"),("1100","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0111"),("0011","1"),("1100","10")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0111"),("0011","1"),("1100","1000")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0111"),("0011","1"),("1101","0")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0111"),("0011","1"),("1101","10")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0111"),("0011","1"),("111","0")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0111"),("0011","1"),("111","00")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0111"),("0011","1"),("111","000")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0111"),("0011","1"),("111","0001")] => ([0,1,2,3],[]) => False
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[("0","00"),("0","0111"),("0011","1"),("111","110")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0111"),("0011","1"),("1110","000")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0111"),("0011","1"),("1110","011")] => ([0,1,2,3],[]) => False
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[("0","00"),("0","0111"),("0011","1"),("1110","110")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0111"),("0011","1"),("1111","0")] => ([0,1,2,3],[]) => False
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[("0","00"),("0","0111"),("0011","1"),("1111","000")] => ([0,1,2,3],[]) => False
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[("0","00"),("0","0111"),("0011","1"),("1111","10")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0111"),("0011","1"),("1111","1000")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0111"),("0011","1"),("1111","110")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0111"),("0011","10"),("1011","1")] => ([0,2,3],[1]) => True
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[("0","00"),("0","0111"),("0011","1000"),("1100","1")] => ([0,1,2,3],[]) => False
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[("0","00"),("0","0111"),("01","1000"),("1100","1")] => ([0,1,2,3],[]) => False
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[("0","00"),("0","0111"),("01","11"),("1011","0")] => ([0,2,3],[1]) => True
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[("0","00"),("0","0111"),("01","110"),("110","1")] => ([0,1,2,3],[]) => False
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[("0","00"),("0","0111"),("010","0"),("1101","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0111"),("010","11"),("111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0111"),("010","1111"),("111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0111"),("0100","0"),("0111","10")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0111"),("0100","0"),("1","0101")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0111"),("0100","0"),("1011","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0111"),("0100","0"),("1101","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0111"),("0100","0"),("111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0111"),("0100","0"),("1110","01")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0111"),("0100","110"),("111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0111"),("0100","111"),("111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0111"),("0100","1110"),("111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0111"),("0101","0"),("1011","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0111"),("0101","0"),("1101","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0111"),("0101","000"),("1100","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0111"),("0101","01"),("110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0111"),("0101","01"),("1100","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0111"),("0101","01"),("1101","01")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0111"),("0101","01"),("1101","0101")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0111"),("0101","01"),("1110","01")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0111"),("0101","01"),("1110","0101")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0111"),("0101","1"),("0111","0")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0111"),("0101","1"),("110","0")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0111"),("0101","1"),("1100","0")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0111"),("0101","1"),("1101","01")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0111"),("0101","1"),("111","0")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0111"),("0101","1"),("111","01")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0111"),("0101","1"),("111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0111"),("0101","1"),("111","10")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0111"),("0101","1"),("111","1010")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0111"),("0101","10"),("1","01")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0111"),("0101","10"),("1","0101")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0111"),("0101","10"),("1","101")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0111"),("0101","10"),("1","1101")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0111"),("0101","10"),("1011","1")] => ([0,2,3],[1]) => True
[("0","00"),("0","0111"),("0101","10"),("111","01")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0111"),("0101","10"),("111","0101")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0111"),("0101","10"),("111","10")] => ([0,1,2],[3]) => True
[("0","00"),("0","0111"),("0101","10"),("111","101")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0111"),("0101","10"),("111","1010")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0111"),("0101","10"),("1110","10")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0111"),("0101","10"),("1110","1010")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0111"),("0101","111"),("111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0111"),("011","0"),("1001","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0111"),("011","0"),("110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0111"),("011","0"),("1100","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0111"),("011","0"),("1101","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0111"),("011","00"),("1100","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0111"),("011","000"),("1100","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0111"),("011","0001"),("1100","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0111"),("011","0010"),("1000","0")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0111"),("011","01"),("1001","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0111"),("011","01"),("1100","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0111"),("011","0110"),("1100","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0111"),("011","1"),("0111","0")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0111"),("011","1"),("0111","10")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0111"),("011","1"),("0111","101")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0111"),("011","1"),("0111","110")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0111"),("011","1"),("1","0")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0111"),("011","1"),("10","0")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0111"),("011","1"),("10","01")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0111"),("011","1"),("10","011")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0111"),("011","1"),("1000","01")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0111"),("011","1"),("1001","0")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0111"),("011","1"),("101","0")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0111"),("011","1"),("101","01")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0111"),("011","1"),("1010","0")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0111"),("011","1"),("1010","01")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0111"),("011","1"),("1010","10")] => ([0,2,3],[1]) => True
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[("0","00"),("0","0111"),("011","1"),("1011","01")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0111"),("011","1"),("1011","011")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0111"),("011","1"),("11","0")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0111"),("011","1"),("110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0111"),("011","1"),("1100","01")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0111"),("011","1"),("1101","0")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0111"),("011","1"),("111","0")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0111"),("011","1"),("111","011")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0111"),("011","1"),("111","10")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0111"),("011","1"),("111","110")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0111"),("011","1"),("1111","0")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0111"),("011","1"),("1111","01")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0111"),("011","10"),("1100","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0111"),("011","1000"),("1100","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0111"),("0110","0"),("0111","11")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0111"),("0110","0"),("1011","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0111"),("0110","0"),("1101","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0111"),("0110","0"),("111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0111"),("0110","01"),("1011","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0111"),("0110","1"),("0111","0")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0111"),("0110","1"),("0111","011")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0111"),("0110","1"),("0111","0110")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0111"),("0110","1"),("0111","110")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0111"),("0110","1"),("1","0")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0111"),("0110","1"),("1","0011")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0111"),("0110","1"),("1","011")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0111"),("0110","1"),("1","10")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0111"),("0110","1"),("1","1011")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0111"),("0110","1"),("1","110")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0111"),("0110","1"),("1","1100")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0111"),("0110","1"),("1","1101")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0111"),("0110","1"),("1011","0")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0111"),("0110","1"),("1011","01")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0111"),("0110","1"),("1011","10")] => ([0,2,3],[1]) => True
[("0","00"),("0","0111"),("0110","1"),("11","0")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0111"),("0110","1"),("11","110")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0111"),("0110","1"),("1101","0")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0111"),("0110","1"),("1101","01")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0111"),("0110","1"),("1101","10")] => ([0,2,3],[1]) => True
[("0","00"),("0","0111"),("0110","1"),("111","0")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0111"),("0110","1"),("111","011")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0111"),("0110","1"),("111","0110")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0111"),("0110","1"),("111","10")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0111"),("0110","1"),("111","101")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0111"),("0110","1"),("1110","00")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0111"),("0110","1"),("1110","000")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0111"),("0110","1"),("1110","0001")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0111"),("0110","1"),("1110","01")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0111"),("0110","1"),("1110","10")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0111"),("0110","1"),("1110","100")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0111"),("0110","1"),("1110","1000")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0111"),("0110","1"),("1110","11")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0111"),("0110","1"),("1111","0")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0111"),("0110","1"),("1111","01")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0111"),("0110","1"),("1111","10")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0111"),("0110","1"),("1111","11")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0111"),("0110","10"),("1101","1")] => ([0,2,3],[1]) => True
[("0","00"),("0","0111"),("0110","10"),("111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0111"),("0110","111"),("111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0111"),("0110","1110"),("111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0111"),("0110","1111"),("111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0111"),("0111","0"),("1001","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0111"),("0111","0"),("101","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0111"),("0111","0"),("1010","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0111"),("0111","0"),("1011","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0111"),("0111","0"),("1011","11")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0111"),("0111","0"),("110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0111"),("0111","0"),("1100","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0111"),("0111","0"),("1101","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0111"),("0111","00"),("1100","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0111"),("0111","000"),("1100","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0111"),("0111","0001"),("1100","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0111"),("0111","0010"),("1001","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0111"),("0111","01"),("1010","01")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0111"),("0111","01"),("1011","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0111"),("0111","01"),("1100","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0111"),("0111","01"),("1101","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0111"),("0111","0101"),("1010","01")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0111"),("0111","10"),("0111","11")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0111"),("0111","10"),("1011","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0111"),("0111","10"),("1100","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0111"),("0111","10"),("1101","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0111"),("0111","1000"),("1100","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0111"),("0111","101"),("1001","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0111"),("0111","1010"),("1010","01")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0111"),("0111","110"),("1011","1")] => ([0,1],[2,3]) => True
[("0","00"),("0","0111"),("1","0"),("101","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0111"),("1","0"),("1011","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0111"),("1","0"),("1011","11")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0111"),("1","0"),("1100","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0111"),("1","000"),("1100","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0111"),("1","001"),("1100","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0111"),("1","0010"),("1001","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0111"),("1","010"),("1010","01")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0111"),("1","011"),("1100","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0111"),("1","011"),("1100","10")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0111"),("1","011"),("1101","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0111"),("1","0110"),("101","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0111"),("1","0110"),("1100","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0111"),("1","10"),("1001","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0111"),("1","10"),("1010","01")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0111"),("1","10"),("1010","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0111"),("1","10"),("1011","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0111"),("1","10"),("110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0111"),("1","10"),("1100","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0111"),("1","10"),("1101","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0111"),("1","100"),("1001","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0111"),("1","100"),("1100","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0111"),("1","1000"),("1100","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0111"),("1","101"),("1010","01")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0111"),("1","110"),("1001","0")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0111"),("1","110"),("1011","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0111"),("1","1110"),("1001","0")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0111"),("10","0"),("1011","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0111"),("10","0"),("1101","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0111"),("100","0"),("1011","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0111"),("100","0"),("1101","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0111"),("100","01"),("1011","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0111"),("1000","0"),("1011","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0111"),("1000","0"),("11","001")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0111"),("1000","0"),("1101","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0111"),("1000","0"),("1101","11")] => ([0,2,3],[1]) => True
[("0","00"),("0","0111"),("1000","0"),("1110","10")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0111"),("1000","01"),("1011","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0111"),("1001","0"),("1011","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0111"),("1001","0"),("11","1110")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0111"),("1001","0"),("110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0111"),("1001","0"),("1100","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0111"),("1001","0"),("1101","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0111"),("1001","0"),("111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0111"),("1001","00"),("1100","1")] => ([0,2,3],[1]) => True
[("0","00"),("0","0111"),("1001","000"),("1100","1")] => ([0,2,3],[1]) => True
[("0","00"),("0","0111"),("1001","0001"),("1100","1")] => ([0,2,3],[1]) => True
[("0","00"),("0","0111"),("1001","01"),("1011","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0111"),("1001","01"),("1100","1")] => ([0,2,3],[1]) => True
[("0","00"),("0","0111"),("1001","1"),("1011","0")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0111"),("1001","1"),("1011","01")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0111"),("1001","1"),("1011","10")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0111"),("1001","1"),("11","101")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0111"),("1001","1"),("110","10")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0111"),("1001","1"),("1100","01")] => ([0,2,3],[1]) => True
[("0","00"),("0","0111"),("1001","1"),("1100","10")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0111"),("1001","1"),("1101","0")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0111"),("1001","1"),("1101","01")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0111"),("1001","1"),("1101","10")] => ([0,2,3],[1]) => True
[("0","00"),("0","0111"),("1001","1"),("111","0")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0111"),("1001","1"),("111","00")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0111"),("1001","1"),("111","0010")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0111"),("1001","1"),("111","10")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0111"),("1001","1"),("111","101")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0111"),("1001","1"),("1110","01")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0111"),("1001","1"),("1110","10")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0111"),("1001","1"),("1110","101")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0111"),("1001","10"),("110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0111"),("1001","10"),("1100","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0111"),("1001","10"),("1101","1")] => ([0,2,3],[1]) => True
[("0","00"),("0","0111"),("1001","100"),("1100","1")] => ([0,2,3],[1]) => True
[("0","00"),("0","0111"),("1001","1000"),("1100","1")] => ([0,2,3],[1]) => True
[("0","00"),("0","0111"),("101","0"),("1011","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0111"),("101","0"),("110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0111"),("101","0"),("1100","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0111"),("101","0"),("1101","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0111"),("101","000"),("1100","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0111"),("101","01"),("1011","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0111"),("101","01"),("1100","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0111"),("101","01"),("1101","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0111"),("101","1"),("1011","0")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0111"),("101","1"),("11","01")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0111"),("101","1"),("11","10")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0111"),("101","1"),("110","0")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0111"),("101","1"),("1100","0")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0111"),("101","1"),("1101","0")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0111"),("101","1"),("1101","01")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0111"),("101","1"),("111","0")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0111"),("101","1"),("111","01")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0111"),("101","1"),("111","110")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0111"),("101","1"),("1110","10")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0111"),("101","1"),("1111","0")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0111"),("101","1"),("1111","11")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0111"),("101","10"),("1100","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0111"),("101","1000"),("1100","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0111"),("101","11"),("1111","11")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0111"),("101","1111"),("1111","11")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0111"),("1010","0"),("1011","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0111"),("1010","0"),("1101","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0111"),("1010","01"),("1011","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0111"),("1010","01"),("1101","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0111"),("1010","01"),("111","01")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0111"),("1010","01"),("111","0101")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0111"),("1010","01"),("111","10")] => ([0,1,2],[3]) => True
[("0","00"),("0","0111"),("1010","01"),("111","1010")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0111"),("1010","01"),("1110","101")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0111"),("1010","1"),("1011","0")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0111"),("1010","1"),("1101","01")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0111"),("1010","1"),("111","0")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0111"),("1010","1"),("111","010")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0111"),("1010","1"),("111","0101")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0111"),("1010","1"),("1110","10")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0111"),("1010","10"),("11","10")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0111"),("1010","10"),("1110","10")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0111"),("1010","10"),("1110","1010")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0111"),("1011","0"),("1011","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0111"),("1011","0"),("110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0111"),("1011","0"),("1100","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0111"),("1011","0"),("1101","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0111"),("1011","000"),("1100","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0111"),("1011","0001"),("1100","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0111"),("1011","01"),("1011","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0111"),("1011","01"),("1100","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0111"),("1011","011"),("1011","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0111"),("1011","1"),("11","10")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0111"),("1011","1"),("11","101")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0111"),("1011","1"),("11","1110")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0111"),("1011","1"),("110","0")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0111"),("1011","1"),("110","01")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0111"),("1011","1"),("1100","0")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0111"),("1011","1"),("1100","01")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0111"),("1011","1"),("1101","0")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0111"),("1011","1"),("1101","01")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0111"),("1011","1"),("111","0")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0111"),("1011","1"),("111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0111"),("1011","1"),("111","10")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0111"),("1011","1"),("111","110")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0111"),("1011","1"),("111","1101")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0111"),("1011","1"),("111","1110")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0111"),("1011","1"),("1110","10")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0111"),("1011","1"),("1111","0")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0111"),("1011","1"),("1111","01")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0111"),("1011","1"),("1111","11")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0111"),("1011","10"),("110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0111"),("1011","10"),("1100","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0111"),("1011","10"),("1101","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0111"),("1011","10"),("1110","11")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0111"),("1011","1000"),("1100","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0111"),("1011","11"),("1110","10")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0111"),("1011","11"),("1111","11")] => ([0,3],[1,2]) => True
[("0","00"),("0","0111"),("1011","111"),("111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0111"),("1011","111"),("1111","11")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0111"),("1011","1111"),("1111","11")] => ([0,3],[1,2]) => True
[("0","00"),("0","0111"),("11","0"),("110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0111"),("11","0"),("1100","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0111"),("11","0"),("1101","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0111"),("11","00"),("1100","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0111"),("11","0001"),("1100","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0111"),("11","0011"),("1100","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0111"),("11","01"),("1100","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0111"),("11","01"),("1101","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0111"),("11","01"),("1101","11")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0111"),("11","011"),("1100","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0111"),("11","011"),("1101","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0111"),("11","0110"),("110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0111"),("11","0110"),("1100","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0111"),("11","10"),("1100","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0111"),("11","1000"),("1100","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0111"),("11","101"),("110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0111"),("11","101"),("1101","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0111"),("11","1011"),("1101","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0111"),("11","110"),("1100","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0111"),("11","1100"),("1100","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0111"),("110","0"),("1101","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0111"),("110","01"),("1101","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0111"),("110","011"),("1101","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0111"),("110","1"),("1101","0")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0111"),("110","1"),("1101","01")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0111"),("110","1"),("1101","0110")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0111"),("110","1"),("1101","10")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0111"),("110","1"),("1101","110")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0111"),("110","1"),("111","0")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0111"),("110","1"),("111","0110")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0111"),("110","1"),("111","10")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0111"),("110","1"),("111","101")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0111"),("110","1"),("1110","10")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0111"),("110","1"),("1110","101")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0111"),("110","1"),("1110","110")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0111"),("110","1"),("1111","0")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0111"),("110","1"),("1111","10")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0111"),("110","101"),("1101","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0111"),("1100","0"),("1101","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0111"),("1100","0"),("111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0111"),("1100","0"),("1110","11")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0111"),("1100","01"),("1101","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0111"),("1100","1"),("1101","0")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0111"),("1100","1"),("1101","000")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0111"),("1100","1"),("1101","0001")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0111"),("1100","1"),("1101","001")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0111"),("1100","1"),("1101","01")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0111"),("1100","1"),("1101","10")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0111"),("1100","1"),("1101","1000")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0111"),("1100","1"),("111","0")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0111"),("1100","1"),("111","00")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0111"),("1100","1"),("111","000")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0111"),("1100","1"),("111","0001")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0111"),("1100","1"),("111","0011")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0111"),("1100","1"),("111","01")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0111"),("1100","1"),("111","0110")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0111"),("1100","1"),("111","100")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0111"),("1100","1"),("111","1000")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0111"),("1100","1"),("111","1001")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0111"),("1100","1"),("111","110")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0111"),("1100","1"),("1110","011")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0111"),("1100","1"),("1110","0110")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0111"),("1100","1"),("1110","110")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0111"),("1100","1"),("1111","0")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0111"),("1100","1"),("1111","00")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0111"),("1100","1"),("1111","000")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0111"),("1100","1"),("1111","0001")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0111"),("1100","1"),("1111","01")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0111"),("1100","1"),("1111","011")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0111"),("1100","1"),("1111","0110")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0111"),("1100","1"),("1111","10")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0111"),("1100","1"),("1111","100")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0111"),("1100","1"),("1111","1000")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0111"),("1100","1"),("1111","110")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0111"),("1100","10"),("1101","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0111"),("1101","0"),("1101","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0111"),("1101","0"),("1110","11")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0111"),("1101","01"),("1101","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0111"),("1101","01"),("1101","11")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0111"),("1101","1"),("111","0")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0111"),("1101","1"),("111","10")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0111"),("1101","1"),("111","101")] => ([0,1,2,3],[]) => False
[("0","00"),("0","0111"),("1101","1"),("111","1011")] => ([0,1],[2,3]) => True
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[("0","00"),("0","1001"),("001","10"),("1100","1")] => ([0,1,2,3],[]) => False
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[("0","00"),("0","1001"),("001","101"),("1010","01")] => ([0,1,2,3],[]) => False
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[("0","00"),("0","1001"),("001","110"),("0110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1001"),("001","110"),("11","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1001"),("001","1100"),("1100","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1001"),("001","1101"),("11","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1001"),("001","1110"),("11","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1001"),("0010","0"),("0011","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1001"),("0010","0"),("0101","10")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1001"),("0010","0"),("0101","100")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1001"),("0010","0"),("0110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1001"),("0010","0"),("0111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1001"),("0010","0"),("1","011")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1001"),("0010","0"),("1","1011")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1001"),("0010","0"),("1","110")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1001"),("0010","0"),("1","1101")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1001"),("0010","0"),("1010","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1001"),("0010","0"),("1010","10")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1001"),("0010","0"),("1011","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1001"),("0010","0"),("111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1001"),("0010","0"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1001"),("0010","0"),("1111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1001"),("0010","000"),("0011","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1001"),("0010","000"),("0110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1001"),("0010","000"),("1100","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1001"),("0010","000"),("1100","10")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1001"),("0010","0001"),("0110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1001"),("0010","0001"),("1100","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1001"),("0010","0011"),("0011","1")] => ([0,1,2,3],[]) => False
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[("0","00"),("0","1001"),("0010","0011"),("11","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1001"),("0010","0011"),("1100","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1001"),("0010","0100"),("0101","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1001"),("0010","0101"),("0101","10")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1001"),("0010","0101"),("1011","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1001"),("0010","011"),("0110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1001"),("0010","011"),("0111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1001"),("0010","011"),("11","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1001"),("0010","011"),("111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1001"),("0010","0110"),("11","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1001"),("0010","0110"),("1101","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1001"),("0010","0111"),("11","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1001"),("0010","0111"),("1111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1001"),("0010","100"),("0011","01")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1001"),("0010","1000"),("0011","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1001"),("0010","101"),("0101","0")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1001"),("0010","101"),("0101","01")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1001"),("0010","101"),("0101","10")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1001"),("0010","101"),("0111","1")] => ([0,1,2,3],[]) => False
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[("0","00"),("0","1001"),("0011","01"),("1","1101")] => ([0,1,2,3],[]) => False
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[("0","00"),("0","1001"),("0011","01"),("11","1111")] => ([0,3],[1,2]) => True
[("0","00"),("0","1001"),("0011","01"),("1100","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1001"),("0011","01"),("1110","1")] => ([0,1,2,3],[]) => False
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[("0","00"),("0","1001"),("0011","1"),("0011","1000")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1001"),("0011","1"),("0011","110")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1001"),("0011","1"),("01","000")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1001"),("0011","1"),("01","0000")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1001"),("0011","1"),("01","0001")] => ([0,1,2,3],[]) => False
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[("0","00"),("0","1001"),("0011","1"),("01","0100")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1001"),("0011","1"),("01","0101")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1001"),("0011","1"),("01","011")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1001"),("0011","1"),("01","10")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1001"),("0011","1"),("01","1010")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1001"),("0011","1"),("010","00")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1001"),("0011","1"),("010","000")] => ([0,1,2,3],[]) => False
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[("0","00"),("0","1001"),("0011","1"),("010","011")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1001"),("0011","1"),("010","1000")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1001"),("0011","1"),("010","11")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1001"),("0011","1"),("010","110")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1001"),("0011","1"),("0101","0")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1001"),("0011","1"),("0101","10")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1001"),("0011","1"),("011","0")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1001"),("0011","1"),("011","01")] => ([0,1,2,3],[]) => False
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[("0","00"),("0","1001"),("0011","1"),("011","10")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1001"),("0011","1"),("011","1100")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1001"),("0011","1"),("0110","0")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1001"),("0011","1"),("0110","01")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1001"),("0011","1"),("0111","0")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1001"),("0011","1"),("0111","01")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1001"),("0011","1"),("0111","011")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1001"),("0011","1"),("0111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1001"),("0011","1"),("0111","10")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1001"),("0011","1"),("0111","1100")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1001"),("0011","1"),("1","00")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1001"),("0011","1"),("1","000")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1001"),("0011","1"),("1","0000")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1001"),("0011","1"),("1","0001")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1001"),("0011","1"),("1","0010")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1001"),("0011","1"),("1","0011")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1001"),("0011","1"),("1","01")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1001"),("0011","1"),("1","010")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1001"),("0011","1"),("1","0100")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1001"),("0011","1"),("1","0101")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1001"),("0011","1"),("1","0110")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1001"),("0011","1"),("1","0111")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1001"),("0011","1"),("1","10")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1001"),("0011","1"),("1","101")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1001"),("0011","1"),("1","1010")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1001"),("0011","1"),("1","1011")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1001"),("0011","1"),("1","110")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1001"),("0011","1"),("1","111")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1001"),("0011","1"),("1","1110")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1001"),("0011","1"),("1","1111")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1001"),("0011","1"),("10","0")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1001"),("0011","1"),("10","00")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1001"),("0011","1"),("10","000")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1001"),("0011","1"),("10","0000")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1001"),("0011","1"),("10","0001")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1001"),("0011","1"),("10","0010")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1001"),("0011","1"),("10","010")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1001"),("0011","1"),("10","0100")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1001"),("0011","1"),("10","0101")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1001"),("0011","1"),("10","100")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1001"),("0011","1"),("10","1000")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1001"),("0011","1"),("10","1010")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1001"),("0011","1"),("1001","0")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1001"),("0011","1"),("1001","00")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1001"),("0011","1"),("1001","000")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1001"),("0011","1"),("1001","0001")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1001"),("0011","1"),("1001","10")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1001"),("0011","1"),("1001","100")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1001"),("0011","1"),("1001","1000")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1001"),("0011","1"),("101","0")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1001"),("0011","1"),("101","01")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1001"),("0011","1"),("101","10")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1001"),("0011","1"),("1010","0")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1001"),("0011","1"),("1010","01")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1001"),("0011","1"),("1010","10")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1001"),("0011","1"),("1011","0")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1001"),("0011","1"),("1011","01")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1001"),("0011","1"),("1011","10")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1001"),("0011","1"),("11","0")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1001"),("0011","1"),("11","00")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1001"),("0011","1"),("11","000")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1001"),("0011","1"),("11","0001")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1001"),("0011","1"),("11","001")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1001"),("0011","1"),("11","01")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1001"),("0011","1"),("11","011")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1001"),("0011","1"),("11","10")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1001"),("0011","1"),("11","1000")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1001"),("0011","1"),("11","110")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1001"),("0011","1"),("11","1111")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1001"),("0011","1"),("110","0")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1001"),("0011","1"),("110","000")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1001"),("0011","1"),("110","0001")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1001"),("0011","1"),("110","01")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1001"),("0011","1"),("110","0110")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1001"),("0011","1"),("110","10")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1001"),("0011","1"),("110","1000")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1001"),("0011","1"),("1100","0001")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1001"),("0011","1"),("1100","0011")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1001"),("0011","1"),("1100","01")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1001"),("0011","1"),("1100","011")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1001"),("0011","1"),("1100","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1001"),("0011","1"),("1101","0")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1001"),("0011","1"),("1101","01")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1001"),("0011","1"),("1101","10")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1001"),("0011","1"),("111","0")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1001"),("0011","1"),("111","00")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1001"),("0011","1"),("111","000")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1001"),("0011","1"),("111","0001")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1001"),("0011","1"),("111","001")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1001"),("0011","1"),("111","0011")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1001"),("0011","1"),("111","01")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1001"),("0011","1"),("111","011")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1001"),("0011","1"),("111","0110")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1001"),("0011","1"),("111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1001"),("0011","1"),("111","10")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1001"),("0011","1"),("111","1000")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1001"),("0011","1"),("111","110")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1001"),("0011","1"),("1110","0")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1001"),("0011","1"),("1110","000")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1001"),("0011","1"),("1110","0001")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1001"),("0011","1"),("1110","01")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1001"),("0011","1"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1001"),("0011","1"),("1110","10")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1001"),("0011","1"),("1110","1000")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1001"),("0011","1"),("1110","110")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1001"),("0011","1"),("1111","0")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1001"),("0011","1"),("1111","00")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1001"),("0011","1"),("1111","000")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1001"),("0011","1"),("1111","0001")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1001"),("0011","1"),("1111","001")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1001"),("0011","1"),("1111","01")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1001"),("0011","1"),("1111","011")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1001"),("0011","1"),("1111","0110")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1001"),("0011","1"),("1111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1001"),("0011","1"),("1111","10")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1001"),("0011","1"),("1111","1000")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1001"),("0011","1"),("1111","11")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1001"),("0011","1"),("1111","110")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1001"),("0011","10"),("0110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1001"),("0011","10"),("0111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1001"),("0011","10"),("11","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1001"),("0011","10"),("1101","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1001"),("0011","10"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1001"),("0011","101"),("0111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1001"),("0011","101"),("11","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1001"),("0011","1011"),("0111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1001"),("0011","1011"),("11","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1001"),("0011","110"),("0110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1001"),("0011","110"),("0111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1001"),("0011","110"),("11","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1001"),("0011","1100"),("0110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1001"),("0011","1101"),("11","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1001"),("0011","111"),("111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1001"),("0011","111"),("1111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1001"),("0011","111"),("1111","11")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1001"),("0011","1110"),("11","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1001"),("0011","1111"),("1111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1001"),("01","0"),("1010","10")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1001"),("01","00"),("0110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1001"),("01","000"),("0110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1001"),("01","0000"),("0110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1001"),("01","0010"),("0110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1001"),("01","0010"),("1010","01")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1001"),("01","010"),("0110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1001"),("01","0100"),("0101","10")] => ([0,1,2,3],[]) => False
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[("0","00"),("0","1001"),("01","0101"),("1010","01")] => ([0,1,2,3],[]) => False
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[("0","00"),("0","1001"),("1001","00"),("1001","11")] => ([0,1,2],[3]) => True
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[("0","00"),("0","1001"),("1001","01"),("1101","1")] => ([0,1,2,3],[]) => False
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[("0","00"),("0","101"),("0","11"),("1001","0")] => ([0],[1,2,3]) => True
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[("0","00"),("0","101"),("00","111"),("0111","1")] => ([0,1,2,3],[]) => False
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[("0","00"),("0","101"),("000","01"),("1110","1")] => ([0,1,2,3],[]) => False
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[("0","00"),("0","101"),("0000","01"),("0111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","101"),("0000","01"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","101"),("0000","101"),("0111","1")] => ([0,1,3],[2]) => True
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[("0","00"),("0","101"),("0000","1011"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","101"),("0000","111"),("0111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","101"),("0001","0"),("0101","001")] => ([0,1,2,3],[]) => False
[("0","00"),("0","101"),("0001","0"),("0101","1000")] => ([0,1,2,3],[]) => False
[("0","00"),("0","101"),("0001","0"),("011","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","101"),("0001","0"),("0110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","101"),("0001","0"),("0111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","101"),("0001","0"),("1","110")] => ([0,1,2,3],[]) => False
[("0","00"),("0","101"),("0001","0"),("1","1100")] => ([0,1,2,3],[]) => False
[("0","00"),("0","101"),("0001","0"),("1001","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","101"),("0001","0"),("1011","11")] => ([0,1,2,3],[]) => False
[("0","00"),("0","101"),("0001","0"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","101"),("0001","00"),("0110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","101"),("0001","00"),("0111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","101"),("0001","00"),("1","110")] => ([0,1,2,3],[]) => False
[("0","00"),("0","101"),("0001","00"),("1","1100")] => ([0,1,2,3],[]) => False
[("0","00"),("0","101"),("0001","00"),("10","0001")] => ([0,1,2,3],[]) => False
[("0","00"),("0","101"),("0001","00"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","101"),("0001","000"),("0110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","101"),("0001","000"),("1001","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","101"),("0001","0010"),("1001","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","101"),("0001","0011"),("0110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","101"),("0001","0011"),("0111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","101"),("0001","0011"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","101"),("0001","010"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","101"),("0001","011"),("0111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","101"),("0001","011"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","101"),("0001","0111"),("0111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","101"),("0001","10"),("0101","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","101"),("0001","10"),("0110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","101"),("0001","10"),("0111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","101"),("0001","10"),("1001","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","101"),("0001","10"),("110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","101"),("0001","10"),("1100","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","101"),("0001","10"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","101"),("0001","100"),("0111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","101"),("0001","100"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","101"),("0001","1000"),("0110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","101"),("0001","1000"),("1100","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","101"),("0001","101"),("0111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","101"),("0001","101"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","101"),("0001","11"),("0111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","101"),("0001","11"),("111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","101"),("0001","11"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","101"),("0001","11"),("1111","11")] => ([0,3],[1,2]) => True
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[("0","00"),("0","101"),("0010","11"),("1111","11")] => ([0,3],[1,2]) => True
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[("0","00"),("0","101"),("0010","1100"),("0111","1")] => ([0,1,2,3],[]) => False
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[("0","00"),("0","101"),("0010","1101"),("0111","1")] => ([0,1,2,3],[]) => False
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[("0","00"),("0","101"),("0010","1111"),("111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","101"),("0010","1111"),("1111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","101"),("0010","1111"),("1111","11")] => ([0,3],[1,2]) => True
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[("0","00"),("0","101"),("0011","0"),("011","1")] => ([0,1,2,3],[]) => False
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[("0","00"),("0","101"),("0011","0"),("1001","1")] => ([0,1,2,3],[]) => False
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[("0","00"),("0","101"),("0011","0"),("110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","101"),("0011","0"),("1100","1")] => ([0,1,2,3],[]) => False
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[("0","00"),("0","101"),("0011","00"),("1001","1")] => ([0,1,2,3],[]) => False
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[("0","00"),("0","101"),("0011","0001"),("1100","1")] => ([0,1,2,3],[]) => False
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[("0","00"),("0","101"),("0011","01"),("1","110")] => ([0,1,2,3],[]) => False
[("0","00"),("0","101"),("0011","01"),("1","1100")] => ([0,1,2,3],[]) => False
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[("0","00"),("0","101"),("0011","01"),("1001","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","101"),("0011","01"),("101","11")] => ([0,1,2,3],[]) => False
[("0","00"),("0","101"),("0011","01"),("1110","1")] => ([0,1,2,3],[]) => False
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[("0","00"),("0","101"),("0011","1"),("01","011")] => ([0,1,2,3],[]) => False
[("0","00"),("0","101"),("0011","1"),("010","0")] => ([0,1,2,3],[]) => False
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[("0","00"),("0","101"),("0011","1"),("010","110")] => ([0,1,2,3],[]) => False
[("0","00"),("0","101"),("0011","1"),("011","0")] => ([0,1,2,3],[]) => False
[("0","00"),("0","101"),("0011","1"),("011","0001")] => ([0,1,2,3],[]) => False
[("0","00"),("0","101"),("0011","1"),("011","0110")] => ([0,1,2,3],[]) => False
[("0","00"),("0","101"),("0011","1"),("011","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","101"),("0011","1"),("011","10")] => ([0,1,2,3],[]) => False
[("0","00"),("0","101"),("0011","1"),("011","1100")] => ([0,1,2,3],[]) => False
[("0","00"),("0","101"),("0011","1"),("0110","0")] => ([0,1,2,3],[]) => False
[("0","00"),("0","101"),("0011","1"),("0110","000")] => ([0,1,2,3],[]) => False
[("0","00"),("0","101"),("0011","1"),("0110","0001")] => ([0,1,2,3],[]) => False
[("0","00"),("0","101"),("0011","1"),("0110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","101"),("0011","1"),("0110","10")] => ([0,1,2,3],[]) => False
[("0","00"),("0","101"),("0011","1"),("1","0")] => ([0,1,2,3],[]) => False
[("0","00"),("0","101"),("0011","1"),("1","0001")] => ([0,1,2,3],[]) => False
[("0","00"),("0","101"),("0011","1"),("1","0011")] => ([0,1,2,3],[]) => False
[("0","00"),("0","101"),("0011","1"),("1","01")] => ([0,1,2,3],[]) => False
[("0","00"),("0","101"),("0011","1"),("1","0110")] => ([0,1,2,3],[]) => False
[("0","00"),("0","101"),("0011","1"),("1","0111")] => ([0,1,2,3],[]) => False
[("0","00"),("0","101"),("0011","1"),("1","110")] => ([0,1,2,3],[]) => False
[("0","00"),("0","101"),("0011","1"),("1","1110")] => ([0,1,2,3],[]) => False
[("0","00"),("0","101"),("0011","1"),("10","001")] => ([0,1,2,3],[]) => False
[("0","00"),("0","101"),("0011","1"),("10","01")] => ([0,1,2,3],[]) => False
[("0","00"),("0","101"),("0011","1"),("10","011")] => ([0,1,2,3],[]) => False
[("0","00"),("0","101"),("0011","1"),("10","1100")] => ([0,1,2,3],[]) => False
[("0","00"),("0","101"),("0011","1"),("1001","0")] => ([0,1,2,3],[]) => False
[("0","00"),("0","101"),("0011","1"),("1001","000")] => ([0,1,2,3],[]) => False
[("0","00"),("0","101"),("0011","1"),("1001","0001")] => ([0,1,2,3],[]) => False
[("0","00"),("0","101"),("0011","1"),("1001","01")] => ([0,1,2,3],[]) => False
[("0","00"),("0","101"),("0011","1"),("1001","011")] => ([0,1,2,3],[]) => False
[("0","00"),("0","101"),("0011","1"),("1001","0110")] => ([0,1,2,3],[]) => False
[("0","00"),("0","101"),("0011","1"),("1001","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","101"),("0011","1"),("1001","10")] => ([0,1,2,3],[]) => False
[("0","00"),("0","101"),("0011","1"),("101","0")] => ([0,1,2,3],[]) => False
[("0","00"),("0","101"),("0011","1"),("101","00")] => ([0,1,2,3],[]) => False
[("0","00"),("0","101"),("0011","1"),("101","0001")] => ([0,1,2,3],[]) => False
[("0","00"),("0","101"),("0011","1"),("101","10")] => ([0,1,2,3],[]) => False
[("0","00"),("0","101"),("0011","1"),("1010","000")] => ([0,1,2,3],[]) => False
[("0","00"),("0","101"),("0011","1"),("1011","0")] => ([0,1,2,3],[]) => False
[("0","00"),("0","101"),("0011","1"),("1011","000")] => ([0,1,2,3],[]) => False
[("0","00"),("0","101"),("0011","1"),("1011","0001")] => ([0,1,2,3],[]) => False
[("0","00"),("0","101"),("0011","1"),("1011","01")] => ([0,1,2,3],[]) => False
[("0","00"),("0","101"),("0011","1"),("1011","0110")] => ([0,1,2,3],[]) => False
[("0","00"),("0","101"),("0011","1"),("1011","10")] => ([0,1,2,3],[]) => False
[("0","00"),("0","101"),("0011","1"),("11","0")] => ([0,1,2,3],[]) => False
[("0","00"),("0","101"),("0011","1"),("11","01")] => ([0,1,2,3],[]) => False
[("0","00"),("0","101"),("0011","1"),("11","011")] => ([0,1,2,3],[]) => False
[("0","00"),("0","101"),("0011","1"),("11","0110")] => ([0,1,2,3],[]) => False
[("0","00"),("0","101"),("0011","1"),("11","110")] => ([0,1,2,3],[]) => False
[("0","00"),("0","101"),("0011","1"),("110","0")] => ([0,1,2,3],[]) => False
[("0","00"),("0","101"),("0011","1"),("110","01")] => ([0,1,2,3],[]) => False
[("0","00"),("0","101"),("0011","1"),("110","0110")] => ([0,1,2,3],[]) => False
[("0","00"),("0","101"),("0011","1"),("110","1000")] => ([0,1,2,3],[]) => False
[("0","00"),("0","101"),("0011","1"),("1101","0")] => ([0,1,2,3],[]) => False
[("0","00"),("0","101"),("0011","1"),("1101","00")] => ([0,1,2,3],[]) => False
[("0","00"),("0","101"),("0011","1"),("1101","000")] => ([0,1,2,3],[]) => False
[("0","00"),("0","101"),("0011","1"),("1101","0001")] => ([0,1,2,3],[]) => False
[("0","00"),("0","101"),("0011","1"),("1101","001")] => ([0,1,2,3],[]) => False
[("0","00"),("0","101"),("0011","1"),("1101","0011")] => ([0,1,2,3],[]) => False
[("0","00"),("0","101"),("0011","1"),("1101","01")] => ([0,1,2,3],[]) => False
[("0","00"),("0","101"),("0011","1"),("1101","0110")] => ([0,1,2,3],[]) => False
[("0","00"),("0","101"),("0011","1"),("1101","10")] => ([0,1,2,3],[]) => False
[("0","00"),("0","101"),("0011","1"),("1101","110")] => ([0,1,2,3],[]) => False
[("0","00"),("0","101"),("0011","1"),("111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","101"),("0011","1"),("111","110")] => ([0,1,2,3],[]) => False
[("0","00"),("0","101"),("0011","1"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","101"),("0011","1"),("1111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","101"),("0011","1"),("1111","11")] => ([0,1,2,3],[]) => False
[("0","00"),("0","101"),("0011","10"),("0101","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","101"),("0011","10"),("1001","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","101"),("0011","10"),("1010","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","101"),("0011","10"),("110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","101"),("0011","1000"),("0110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","101"),("0011","111"),("111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","101"),("0011","111"),("1111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","101"),("0011","111"),("1111","11")] => ([0,1,2,3],[]) => False
[("0","00"),("0","101"),("01","0"),("0110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","101"),("01","0"),("0111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","101"),("01","0"),("1011","11")] => ([0,1,2,3],[]) => False
[("0","00"),("0","101"),("01","0"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","101"),("01","00"),("0110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","101"),("01","000"),("0110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","101"),("01","0001"),("0110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","101"),("01","001"),("0110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","101"),("01","0011"),("0111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","101"),("01","0011"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","101"),("01","0011"),("1110","11")] => ([0,1,2,3],[]) => False
[("0","00"),("0","101"),("01","011"),("0111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","101"),("01","011"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","101"),("01","0111"),("0111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","101"),("01","10"),("0110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","101"),("01","10"),("1001","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","101"),("01","1000"),("0110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","101"),("01","1000"),("110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","101"),("01","1010"),("011","1")] => ([0,1,2,3],[]) => False
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[("0","00"),("0","101"),("01","11"),("1011","0")] => ([0,1,2,3],[]) => False
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[("0","00"),("0","101"),("0101","1"),("1001","10")] => ([0,1,2,3],[]) => False
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[("0","00"),("0","101"),("0101","11"),("1001","0")] => ([0,1],[2,3]) => True
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[("0","00"),("0","101"),("0101","110"),("1001","0")] => ([0,1],[2,3]) => True
[("0","00"),("0","101"),("0101","1101"),("0111","1")] => ([0,1,3],[2]) => True
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[("0","00"),("0","101"),("0101","111"),("111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","101"),("0101","111"),("1110","1")] => ([0,1,2,3],[]) => False
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[("0","00"),("0","101"),("0101","1111"),("1110","1")] => ([0,1,3],[2]) => True
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[("0","00"),("0","101"),("011","0"),("0111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","101"),("011","0"),("1001","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","101"),("011","0"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","101"),("011","00"),("0111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","101"),("011","000"),("0110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","101"),("011","0001"),("0110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","101"),("011","0010"),("1001","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","101"),("011","0011"),("0110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","101"),("011","0011"),("0111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","101"),("011","0011"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","101"),("011","01"),("0110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","101"),("011","01"),("0111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","101"),("011","01"),("1001","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","101"),("011","0110"),("011","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","101"),("011","0110"),("0110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","101"),("011","0111"),("0111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","101"),("011","0111"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","101"),("011","1"),("0110","0")] => ([0,1,2,3],[]) => False
[("0","00"),("0","101"),("011","1"),("0110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","101"),("011","1"),("0111","0")] => ([0,1,2,3],[]) => False
[("0","00"),("0","101"),("011","1"),("0111","01")] => ([0,1,2,3],[]) => False
[("0","00"),("0","101"),("011","1"),("0111","0110")] => ([0,1,2,3],[]) => False
[("0","00"),("0","101"),("011","1"),("0111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","101"),("011","1"),("0111","10")] => ([0,1,2,3],[]) => False
[("0","00"),("0","101"),("011","1"),("0111","101")] => ([0,1,2,3],[]) => False
[("0","00"),("0","101"),("011","1"),("1","0000")] => ([0,1,2,3],[]) => False
[("0","00"),("0","101"),("011","1"),("1","0010")] => ([0,1,2,3],[]) => False
[("0","00"),("0","101"),("011","1"),("1","0100")] => ([0,1,2,3],[]) => False
[("0","00"),("0","101"),("011","1"),("1","0101")] => ([0,1,2,3],[]) => False
[("0","00"),("0","101"),("011","1"),("1","1010")] => ([0,1,2,3],[]) => False
[("0","00"),("0","101"),("011","1"),("1001","0")] => ([0,1,2,3],[]) => False
[("0","00"),("0","101"),("011","1"),("1001","01")] => ([0,1,2,3],[]) => False
[("0","00"),("0","101"),("011","1"),("101","0100")] => ([0,1,2,3],[]) => False
[("0","00"),("0","101"),("011","1"),("1011","0")] => ([0,1,2,3],[]) => False
[("0","00"),("0","101"),("011","1"),("1011","01")] => ([0,1,2,3],[]) => False
[("0","00"),("0","101"),("011","1"),("1011","110")] => ([0,1,2,3],[]) => False
[("0","00"),("0","101"),("011","1"),("1101","0")] => ([0,1,2,3],[]) => False
[("0","00"),("0","101"),("011","1"),("1101","011")] => ([0,1,2,3],[]) => False
[("0","00"),("0","101"),("011","1"),("1110","0")] => ([0,1,2,3],[]) => False
[("0","00"),("0","101"),("011","1"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","101"),("011","1"),("1111","0")] => ([0,1,2,3],[]) => False
[("0","00"),("0","101"),("011","1"),("1111","01")] => ([0,1,2,3],[]) => False
[("0","00"),("0","101"),("011","1"),("1111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","101"),("011","1"),("1111","11")] => ([0,1,2,3],[]) => False
[("0","00"),("0","101"),("011","10"),("0111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","101"),("011","10"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","101"),("011","100"),("1001","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","101"),("011","1000"),("0110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","101"),("011","1011"),("0111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","101"),("011","1011"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","101"),("011","110"),("0111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","101"),("011","110"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","101"),("011","1100"),("0111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","101"),("011","1101"),("0111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","101"),("011","1101"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","101"),("011","111"),("0111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","101"),("011","111"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","101"),("011","111"),("1111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","101"),("011","111"),("1111","11")] => ([0,1,2,3],[]) => False
[("0","00"),("0","101"),("011","1110"),("0111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","101"),("011","1110"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","101"),("011","1111"),("1111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","101"),("0110","0"),("0111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","101"),("0110","0"),("1001","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","101"),("0110","0"),("101","11")] => ([0,1,2,3],[]) => False
[("0","00"),("0","101"),("0110","0"),("111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","101"),("0110","0"),("1111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","101"),("0110","0"),("1111","11")] => ([0,2,3],[1]) => True
[("0","00"),("0","101"),("0110","00"),("1001","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","101"),("0110","0010"),("1001","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","101"),("0110","0011"),("0111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","101"),("0110","0011"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","101"),("0110","01"),("101","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","101"),("0110","010"),("1001","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","101"),("0110","010"),("101","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","101"),("0110","0111"),("0111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","101"),("0110","0111"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","101"),("0110","1"),("0111","0")] => ([0,1,2,3],[]) => False
[("0","00"),("0","101"),("0110","1"),("0111","0011")] => ([0,1,2,3],[]) => False
[("0","00"),("0","101"),("0110","1"),("0111","0110")] => ([0,1,2,3],[]) => False
[("0","00"),("0","101"),("0110","1"),("1","0")] => ([0,1,2,3],[]) => False
[("0","00"),("0","101"),("0110","1"),("1","0011")] => ([0,1,2,3],[]) => False
[("0","00"),("0","101"),("0110","1"),("1","01")] => ([0,1,2,3],[]) => False
[("0","00"),("0","101"),("0110","1"),("1","0101")] => ([0,1,2,3],[]) => False
[("0","00"),("0","101"),("0110","1"),("1","011")] => ([0,1,2,3],[]) => False
[("0","00"),("0","101"),("0110","1"),("1","1011")] => ([0,1,2,3],[]) => False
[("0","00"),("0","101"),("0110","1"),("1001","0")] => ([0,1,2,3],[]) => False
[("0","00"),("0","101"),("0110","1"),("1001","00")] => ([0,1,2,3],[]) => False
[("0","00"),("0","101"),("0110","1"),("1001","000")] => ([0,1,2,3],[]) => False
[("0","00"),("0","101"),("0110","1"),("1001","0001")] => ([0,1,2,3],[]) => False
[("0","00"),("0","101"),("0110","1"),("1001","01")] => ([0,1,2,3],[]) => False
[("0","00"),("0","101"),("0110","1"),("1001","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","101"),("0110","1"),("101","0")] => ([0,1,2,3],[]) => False
[("0","00"),("0","101"),("0110","1"),("101","011")] => ([0,1,2,3],[]) => False
[("0","00"),("0","101"),("0110","1"),("1011","0")] => ([0,1,2,3],[]) => False
[("0","00"),("0","101"),("0110","1"),("1011","0110")] => ([0,1,2,3],[]) => False
[("0","00"),("0","101"),("0110","1"),("1011","10")] => ([0,1,2,3],[]) => False
[("0","00"),("0","101"),("0110","1"),("1011","11")] => ([0,1,2,3],[]) => False
[("0","00"),("0","101"),("0110","1"),("1011","110")] => ([0,1,2,3],[]) => False
[("0","00"),("0","101"),("0110","1"),("11","0")] => ([0,1,2,3],[]) => False
[("0","00"),("0","101"),("0110","1"),("11","00")] => ([0,1,2,3],[]) => False
[("0","00"),("0","101"),("0110","1"),("11","000")] => ([0,1,2,3],[]) => False
[("0","00"),("0","101"),("0110","1"),("11","0001")] => ([0,1,2,3],[]) => False
[("0","00"),("0","101"),("0110","1"),("11","01")] => ([0,1,2,3],[]) => False
[("0","00"),("0","101"),("0110","1"),("111","0")] => ([0,1,2,3],[]) => False
[("0","00"),("0","101"),("0110","1"),("111","000")] => ([0,1,2,3],[]) => False
[("0","00"),("0","101"),("0110","1"),("111","0001")] => ([0,1,2,3],[]) => False
[("0","00"),("0","101"),("0110","1"),("111","01")] => ([0,1,2,3],[]) => False
[("0","00"),("0","101"),("0110","1"),("111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","101"),("0110","1"),("111","101")] => ([0,1,2,3],[]) => False
[("0","00"),("0","101"),("0110","1"),("1111","0")] => ([0,1,2,3],[]) => False
[("0","00"),("0","101"),("0110","1"),("1111","000")] => ([0,1,2,3],[]) => False
[("0","00"),("0","101"),("0110","1"),("1111","0001")] => ([0,1,2,3],[]) => False
[("0","00"),("0","101"),("0110","1"),("1111","01")] => ([0,1,2,3],[]) => False
[("0","00"),("0","101"),("0110","1"),("1111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","101"),("0110","1"),("1111","11")] => ([0,1,2,3],[]) => False
[("0","00"),("0","101"),("0110","101"),("0111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","101"),("0110","1011"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","101"),("0110","111"),("0111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","101"),("0110","111"),("111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","101"),("0110","111"),("1111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","101"),("0110","111"),("1111","11")] => ([0,1,2,3],[]) => False
[("0","00"),("0","101"),("0110","1111"),("111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","101"),("0110","1111"),("1111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","101"),("0110","1111"),("1111","11")] => ([0,2,3],[1]) => True
[("0","00"),("0","101"),("0111","0"),("1001","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","101"),("0111","00"),("1001","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","101"),("0111","0010"),("1001","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","101"),("0111","01"),("1001","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","101"),("0111","01"),("1101","11")] => ([0,1,2,3],[]) => False
[("0","00"),("0","101"),("0111","1"),("1","0011")] => ([0,1,2,3],[]) => False
[("0","00"),("0","101"),("0111","1"),("1","011")] => ([0,1,2,3],[]) => False
[("0","00"),("0","101"),("0111","1"),("1","0111")] => ([0,1,2,3],[]) => False
[("0","00"),("0","101"),("0111","1"),("1","110")] => ([0,1,2,3],[]) => False
[("0","00"),("0","101"),("0111","1"),("1","1100")] => ([0,1,2,3],[]) => False
[("0","00"),("0","101"),("0111","1"),("1","1111")] => ([0,1,2,3],[]) => False
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[("0","00"),("0","101"),("1001","1"),("1111","01")] => ([0,1,2,3],[]) => False
[("0","00"),("0","101"),("1001","1"),("1111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","101"),("1001","1"),("1111","101")] => ([0,1,2,3],[]) => False
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[("0","00"),("0","101"),("1001","11"),("1111","11")] => ([0,3],[1,2]) => True
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[("0","00"),("0","101"),("1001","111"),("1111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","101"),("1001","111"),("1111","11")] => ([0,1,2,3],[]) => False
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[("0","00"),("0","101"),("1001","1111"),("1111","11")] => ([0,3],[1,2]) => True
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[("0","00"),("0","101"),("1011","1111"),("1111","11")] => ([0,3],[1,2]) => True
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[("0","00"),("0","1011"),("000","1001"),("0111","1")] => ([0,1,2,3],[]) => False
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[("0","00"),("0","1011"),("0000","01"),("0111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("0000","01"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("0000","1101"),("0111","1")] => ([0,1,3],[2]) => True
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[("0","00"),("0","1011"),("0001","0"),("1","001")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("0001","0"),("1","100")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("0001","0"),("1","1001")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("0001","0"),("101","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("0001","0"),("1011","11")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("0001","0"),("11","001")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("0001","0"),("1100","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("0001","0"),("1101","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("0001","00"),("1","01")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("0001","00"),("1","0100")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("0001","00"),("1","0101")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("0001","00"),("1","1001")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("0001","00"),("11","0110")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("0001","00"),("11","110")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("0001","000"),("0110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("0001","000"),("1100","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("0001","0011"),("0110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("0001","0110"),("011","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("0001","10"),("011","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("0001","10"),("0110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("0001","10"),("101","1")] => ([0,2,3],[1]) => True
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[("0","00"),("0","1011"),("0001","10"),("1100","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("0001","10"),("1101","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("0001","10"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("0001","1000"),("0110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("0001","1000"),("1100","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("0001","11"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("0001","110"),("011","0")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("0001","110"),("0110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("0001","110"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("001","0"),("011","10")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("001","0"),("0111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("001","0"),("1","0010")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("001","0"),("1","0100")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("001","0"),("1","0110")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("001","0"),("1","100")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("001","0"),("1","1001")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("001","0"),("101","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("001","0"),("11","011")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("001","0"),("1100","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("001","0"),("1101","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("001","00"),("1100","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("001","000"),("0110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("001","000"),("1100","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("001","0001"),("1100","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("001","0100"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("001","011"),("011","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("001","011"),("0110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("001","011"),("0111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("001","0110"),("011","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("001","0110"),("1100","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("001","10"),("0110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("001","10"),("110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("001","10"),("1100","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("001","10"),("1101","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("001","10"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("001","100"),("1100","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("001","1000"),("1100","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("001","1000"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("001","11"),("011","0")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("001","11"),("0110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("001","11"),("1111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("001","110"),("0110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("001","111"),("1111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("001","1110"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("0010","0"),("011","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("0010","0"),("0111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("0010","0"),("101","01")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("0010","0"),("1011","01")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("0010","0"),("11","100")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("0010","0"),("111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("0010","0"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("0010","0"),("1111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("0010","000"),("1100","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("0010","0011"),("0111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("0010","0011"),("1100","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("0010","011"),("111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("0010","1000"),("1100","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("0010","101"),("0111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("0010","11"),("1111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("0010","110"),("0111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("0010","110"),("1100","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("0010","1101"),("0111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("0010","111"),("1111","1")] => ([0,1,2,3],[]) => False
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[("0","00"),("0","1011"),("0011","1"),("011","1100")] => ([0,1,2,3],[]) => False
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[("0","00"),("0","1011"),("0011","1"),("0111","1100")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("0011","1"),("1","0001")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("0011","1"),("1","001")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("0011","1"),("1","0011")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("0011","1"),("1","01")] => ([0,1,2,3],[]) => False
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[("0","00"),("0","1011"),("0011","1"),("1","110")] => ([0,1,2,3],[]) => False
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[("0","00"),("0","1011"),("0011","1"),("101","0")] => ([0,1,2,3],[]) => False
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[("0","00"),("0","1011"),("0011","1"),("101","10")] => ([0,2,3],[1]) => True
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[("0","00"),("0","1011"),("0011","1"),("1011","10")] => ([0,1,2,3],[]) => False
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[("0","00"),("0","1011"),("0011","1"),("11","0110")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("0011","1"),("11","110")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("0011","1"),("110","01")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("0011","1"),("110","011")] => ([0,1,2,3],[]) => False
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[("0","00"),("0","1011"),("0011","1"),("110","10")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("0011","1"),("1100","000")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("0011","1"),("1100","0001")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("0011","1"),("1100","001")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("0011","1"),("1100","0011")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("0011","1"),("1100","01")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("0011","1"),("1100","011")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("0011","1"),("1100","0110")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("0011","1"),("1100","10")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("0011","1"),("1101","0")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("0011","1"),("1101","10")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("0011","1"),("111","0")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("0011","1"),("111","01")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("0011","1"),("111","011")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("0011","1"),("111","0110")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("0011","1"),("111","110")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("0011","1"),("1110","0")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("0011","1"),("1110","01")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("0011","1"),("1110","110")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("0011","1"),("1111","110")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("0011","10"),("0111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("0011","10"),("101","1")] => ([0,2,3],[1]) => True
[("0","00"),("0","1011"),("0011","10"),("1100","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("0011","10"),("1101","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("0011","10"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("0011","1000"),("1100","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("0011","101"),("0111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("0011","1011"),("0111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("0011","110"),("0111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("0011","110"),("1100","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("0011","110"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("0011","1110"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("0011","1111"),("1111","1")] => ([0,1,2,3],[]) => False
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[("0","00"),("0","1011"),("01","0"),("101","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("01","0"),("1010","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("01","0"),("1011","11")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("01","000"),("0110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("01","000"),("1100","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("01","0001"),("1100","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("01","0001"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("01","0010"),("1001","1")] => ([0,1,2,3],[]) => False
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[("0","00"),("0","1011"),("01","0100"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("01","10"),("0110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("01","10"),("1001","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("01","10"),("101","1")] => ([0,2,3],[1]) => True
[("0","00"),("0","1011"),("01","10"),("1010","1")] => ([0,2,3],[1]) => True
[("0","00"),("0","1011"),("01","10"),("110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("01","10"),("1100","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("01","100"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("01","1000"),("0110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("01","1000"),("1100","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("01","101"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("01","1010"),("011","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("01","1010"),("1010","10")] => ([0,2,3],[1]) => True
[("0","00"),("0","1011"),("01","11"),("1011","0")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("01","11"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("01","11"),("1111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("01","110"),("0110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("01","110"),("110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("01","110"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("01","1101"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("01","111"),("1111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("010","0"),("011","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("010","0"),("0111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("010","0"),("1011","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("010","0"),("111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("010","0"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("010","0"),("1111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("010","000"),("1100","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("010","011"),("110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("010","011"),("1100","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("010","011"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("010","0110"),("110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("010","11"),("0111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("010","11"),("1100","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("010","11"),("1111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("010","110"),("011","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("010","110"),("0111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("010","110"),("1100","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("010","111"),("1111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("010","1110"),("0111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("0100","0"),("011","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("0100","0"),("0111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("0100","0"),("101","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("0100","0"),("1011","10")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("0100","0"),("110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("0100","0"),("1101","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("0100","0"),("111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("0100","0"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("0100","00"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("0100","000"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("0100","0001"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("0100","0011"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("0100","011"),("0111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("0100","101"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("0100","110"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("0100","1101"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("0101","0"),("011","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("0101","0"),("0110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("0101","0"),("0111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("0101","0"),("1001","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("0101","0"),("1100","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("0101","0"),("1101","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("0101","0"),("111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("0101","0"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("0101","01"),("0110","1")] => ([0,2,3],[1]) => True
[("0","00"),("0","1011"),("0101","01"),("0111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("0101","01"),("10","01")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("0101","01"),("10","0101")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("0101","01"),("1000","01")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("0101","01"),("1000","0101")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("0101","01"),("1010","0101")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("0101","01"),("11","01")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("0101","01"),("11","0101")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("0101","01"),("110","01")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("0101","01"),("110","0101")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("0101","01"),("110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("0101","01"),("1100","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("0101","01"),("111","01")] => ([0,2],[1,3]) => True
[("0","00"),("0","1011"),("0101","01"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("0101","1"),("0110","010")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("0101","1"),("0111","0")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("0101","1"),("1","0")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("0101","1"),("1","01")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("0101","1"),("1","0110")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("0101","1"),("1","0111")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("0101","1"),("100","01")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("0101","1"),("1000","01")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("0101","1"),("1001","0")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("0101","1"),("1010","01")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("0101","1"),("1011","10")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("0101","1"),("11","01")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("0101","1"),("11","10")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("0101","1"),("11","1010")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("0101","1"),("110","01")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("0101","1"),("110","10")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("0101","1"),("1100","01")] => ([0,1,2,3],[]) => False
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[("0","00"),("0","1011"),("0101","1"),("1111","0")] => ([0,1,2,3],[]) => False
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[("0","00"),("0","1011"),("0101","10"),("1","0101")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("0101","10"),("1","011")] => ([0,1,2,3],[]) => False
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[("0","00"),("0","1011"),("0101","10"),("1","100")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("0101","10"),("1","1000")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("0101","10"),("1","1001")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("0101","10"),("1","101")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("0101","10"),("1","110")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("0101","10"),("1","1100")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("0101","10"),("1","1101")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("0101","10"),("1","1110")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("0101","10"),("10","0")] => ([0,1,2,3],[]) => False
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[("0","00"),("0","1011"),("0101","10"),("10","0101")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("0101","10"),("100","0")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("0101","10"),("100","01")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("0101","10"),("100","0101")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("0101","10"),("100","101")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("0101","10"),("1000","01")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("0101","10"),("1000","0101")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("0101","10"),("1000","101")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("0101","10"),("1010","1")] => ([0,2,3],[1]) => True
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[("0","00"),("0","1011"),("0101","10"),("11","00")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("0101","10"),("11","0001")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("0101","10"),("11","001")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("0101","10"),("11","0011")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("0101","10"),("11","01")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("0101","10"),("11","0101")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("0101","10"),("11","011")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("0101","10"),("11","0110")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("0101","10"),("11","101")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("0101","10"),("11","110")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("0101","10"),("11","1100")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("0101","10"),("11","1110")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("0101","10"),("110","0000")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("0101","10"),("110","0011")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("0101","10"),("110","01")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("0101","10"),("110","010")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("0101","10"),("110","0101")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("0101","10"),("110","0110")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("0101","10"),("110","101")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("0101","10"),("1100","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("0101","10"),("1100","10")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("0101","10"),("1100","1010")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("0101","110"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("011","0"),("0111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("011","0"),("1001","1")] => ([0,1,2,3],[]) => False
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[("0","00"),("0","1011"),("011","0"),("110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("011","0"),("1100","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("011","0"),("1101","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("011","0"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("011","00"),("0110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("011","000"),("0110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("011","000"),("0111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("011","000"),("1100","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("011","000"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("011","0001"),("0110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("011","0001"),("0111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("011","0001"),("1100","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("011","0001"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("011","0010"),("1001","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("011","0011"),("0110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("011","01"),("0110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("011","01"),("1100","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("011","01"),("1101","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("011","0110"),("0110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("011","0110"),("1100","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("011","0111"),("0111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("011","0111"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("011","1"),("0110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("011","1"),("0110","101")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("011","1"),("0111","011")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("011","1"),("0111","10")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("011","1"),("1","0010")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("011","1"),("1","010")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("011","1"),("1","0101")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("011","1"),("1","1000")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("011","1"),("1","1010")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("011","1"),("1","1011")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("011","1"),("10","0")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("011","1"),("10","01")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("011","1"),("100","0")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("011","1"),("100","01")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("011","1"),("1000","0")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("011","1"),("1001","0")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("011","1"),("1001","01")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("011","1"),("1001","11")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("011","1"),("101","0")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("011","1"),("1010","0")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("011","1"),("1010","01")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("011","1"),("1010","10")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("011","1"),("1011","0")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("011","1"),("11","0")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("011","1"),("110","01")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("011","1"),("110","011")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("011","1"),("1100","01")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("011","1"),("1100","011")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("011","1"),("1100","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("011","1"),("1101","0")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("011","1"),("111","011")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("011","1"),("111","1011")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("011","1"),("1110","0")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("011","1"),("1110","11")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("011","1"),("1111","0")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("011","1"),("1111","01")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("011","1"),("1111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("011","10"),("0111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("011","10"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("011","1000"),("0110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("011","1000"),("0111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("011","1000"),("1100","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("011","101"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("011","110"),("0111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("011","110"),("1011","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("011","110"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("011","1101"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("011","111"),("0111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("011","111"),("1111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("011","1110"),("0111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("011","1111"),("1111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("0110","0"),("0111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("0110","0"),("1001","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("0110","0"),("1011","11")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("0110","0"),("1101","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("0110","0"),("111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("0110","0"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("0110","0"),("1111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("0110","0"),("1111","11")] => ([0,2,3],[1]) => True
[("0","00"),("0","1011"),("0110","00"),("0111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("0110","000"),("0111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("0110","000"),("1100","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("0110","000"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("0110","0001"),("0111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("0110","0001"),("1100","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("0110","0001"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("0110","001"),("0111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("0110","01"),("0111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("0110","01"),("1001","10")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("0110","01"),("1100","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("0110","01"),("111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("0110","01"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("0110","0111"),("0111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("0110","0111"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("0110","1"),("0111","0")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("0110","1"),("0111","00")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("0110","1"),("0111","000")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("0110","1"),("0111","0001")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("0110","1"),("0111","001")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("0110","1"),("0111","0011")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("0110","1"),("0111","011")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("0110","1"),("0111","0110")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("0110","1"),("0111","100")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("0110","1"),("0111","1000")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("0110","1"),("1","0011")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("0110","1"),("1","0101")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("0110","1"),("1","011")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("0110","1"),("1","10")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("0110","1"),("1","1010")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("0110","1"),("1","1011")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("0110","1"),("1","110")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("0110","1"),("1","1100")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("0110","1"),("1","1101")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("0110","1"),("1001","0")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("0110","1"),("1001","01")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("0110","1"),("1001","011")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("0110","1"),("1001","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("0110","1"),("101","0")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("0110","1"),("101","10")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("0110","1"),("1011","0")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("0110","1"),("1011","011")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("0110","1"),("1011","110")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("0110","1"),("11","0")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("0110","1"),("11","01")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("0110","1"),("11","011")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("0110","1"),("110","0")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("0110","1"),("110","00")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("0110","1"),("110","000")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("0110","1"),("110","0001")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("0110","1"),("110","0110")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("0110","1"),("110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("0110","1"),("110","10")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("0110","1"),("110","1000")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("0110","1"),("110","1100")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("0110","1"),("1100","0")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("0110","1"),("1100","000")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("0110","1"),("1100","0001")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("0110","1"),("1100","011")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("0110","1"),("1100","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("0110","1"),("1100","10")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("0110","1"),("1101","0")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("0110","1"),("1101","01")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("0110","1"),("1101","10")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("0110","1"),("111","0")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("0110","1"),("111","000")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("0110","1"),("111","0001")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("0110","1"),("111","01")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("0110","1"),("111","011")] => ([0,1,2,3],[]) => False
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[("0","00"),("0","1011"),("0110","1"),("111","1100")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("0110","1"),("1110","0")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("0110","1"),("1110","000")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("0110","1"),("1110","0001")] => ([0,1,2,3],[]) => False
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[("0","00"),("0","1011"),("0110","1"),("1110","0110")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("0110","1"),("1110","1")] => ([0,1,2,3],[]) => False
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[("0","00"),("0","1011"),("0110","1"),("1110","1000")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("0110","1"),("1110","1100")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("0110","1"),("1111","0")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("0110","1"),("1111","00")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("0110","1"),("1111","000")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("0110","1"),("1111","0001")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("0110","1"),("1111","01")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("0110","1"),("1111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("0110","1"),("1111","10")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("0110","1"),("1111","1000")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("0110","1"),("1111","101")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("0110","10"),("0111","1")] => ([0,1,2,3],[]) => False
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[("0","00"),("0","1011"),("0110","10"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("0110","1000"),("0111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("0110","1001"),("0111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("0110","1001"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("0110","101"),("0111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("0110","101"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("0110","1011"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("0110","1100"),("1100","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("0110","1101"),("0111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("0110","111"),("1111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("0110","1110"),("0111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("0110","1111"),("1111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("0110","1111"),("1111","11")] => ([0,2,3],[1]) => True
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[("0","00"),("0","1011"),("0111","0"),("1001","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("0111","0"),("101","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("0111","0"),("1010","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("0111","0"),("1011","11")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("0111","0"),("110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("0111","0"),("1100","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("0111","0"),("1101","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("0111","0"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("0111","000"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("0111","0001"),("1100","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("0111","0001"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("0111","0010"),("1001","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("0111","01"),("0111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("0111","01"),("1001","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("0111","01"),("110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("0111","01"),("1100","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("0111","01"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("0111","011"),("0111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("0111","011"),("1100","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("0111","1"),("0111","10")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("0111","1"),("0111","101")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("0111","1"),("1","0")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("0111","1"),("1","00")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("0111","1"),("1","000")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("0111","1"),("1","0001")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("0111","1"),("1","01")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("0111","1"),("1","0101")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("0111","1"),("1","011")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("0111","1"),("1","1000")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("0111","1"),("1","1001")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("0111","1"),("1","1010")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("0111","1"),("1","110")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("0111","1"),("10","0")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("0111","1"),("10","0001")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("0111","1"),("10","0011")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("0111","1"),("10","01")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("0111","1"),("10","0111")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("0111","1"),("10","1001")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("0111","1"),("10","11")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("0111","1"),("10","110")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("0111","1"),("10","1101")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("0111","1"),("100","0")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("0111","1"),("100","0001")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("0111","1"),("100","01")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("0111","1"),("100","0111")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("0111","1"),("100","110")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("0111","1"),("1000","0")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("0111","1"),("1000","00")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("0111","1"),("1000","000")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("0111","1"),("1000","0001")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("0111","1"),("1000","01")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("0111","1"),("1000","0111")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("0111","1"),("1000","1001")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("0111","1"),("1000","11")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("0111","1"),("1000","110")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("0111","1"),("1001","0")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("0111","1"),("1001","01")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("0111","1"),("1001","011")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("0111","1"),("1001","10")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("0111","1"),("1001","101")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("0111","1"),("101","0")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("0111","1"),("101","01")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("0111","1"),("101","10")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("0111","1"),("1010","0")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("0111","1"),("1010","01")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("0111","1"),("1010","10")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("0111","1"),("1010","110")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("0111","1"),("1011","0")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("0111","1"),("1011","0001")] => ([0,1,2],[3]) => True
[("0","00"),("0","1011"),("0111","1"),("1011","01")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("0111","1"),("1011","1000")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("0111","1"),("1011","101")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("0111","1"),("1011","110")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("0111","1"),("1011","1101")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("0111","1"),("11","0")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("0111","1"),("11","000")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("0111","1"),("11","0001")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("0111","1"),("11","01")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("0111","1"),("11","10")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("0111","1"),("11","100")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("0111","1"),("11","1000")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("0111","1"),("11","110")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("0111","1"),("11","1110")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("0111","1"),("110","0")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("0111","1"),("110","00")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("0111","1"),("110","000")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("0111","1"),("110","0001")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("0111","1"),("110","001")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("0111","1"),("110","01")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("0111","1"),("110","0111")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("0111","1"),("110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("0111","1"),("110","10")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("0111","1"),("110","100")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("0111","1"),("110","1000")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("0111","1"),("110","1001")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("0111","1"),("110","101")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("0111","1"),("110","1100")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("0111","1"),("110","1101")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("0111","1"),("110","1110")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("0111","1"),("1100","0")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("0111","1"),("1100","000")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("0111","1"),("1100","0001")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("0111","1"),("1100","01")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("0111","1"),("1100","011")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("0111","1"),("1100","0111")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("0111","1"),("1100","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("0111","1"),("1100","10")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("0111","1"),("1100","100")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("0111","1"),("1100","1000")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("0111","1"),("1100","1001")] => ([0,1,2],[3]) => True
[("0","00"),("0","1011"),("0111","1"),("1100","101")] => ([0,1,2],[3]) => True
[("0","00"),("0","1011"),("0111","1"),("1100","1101")] => ([0,1,2],[3]) => True
[("0","00"),("0","1011"),("0111","1"),("1100","1110")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("0111","1"),("1101","0")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("0111","1"),("1101","01")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("0111","1"),("1101","10")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("0111","1"),("1101","101")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("0111","1"),("111","0")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("0111","1"),("111","01")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("0111","1"),("111","011")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("0111","1"),("111","0111")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("0111","1"),("111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("0111","1"),("111","10")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("0111","1"),("111","101")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("0111","1"),("111","110")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("0111","1"),("111","1101")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("0111","1"),("111","1110")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("0111","1"),("1110","0")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("0111","1"),("1110","01")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("0111","1"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("0111","1"),("1110","10")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("0111","1"),("1110","101")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("0111","1"),("1110","11")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("0111","1"),("1110","110")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("0111","1"),("1110","1101")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("0111","1"),("1111","0")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("0111","1"),("1111","01")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("0111","1"),("1111","011")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("0111","1"),("1111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("0111","1"),("1111","10")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("0111","1"),("1111","101")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("0111","1"),("1111","1011")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("0111","1"),("1111","11")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("0111","1"),("1111","110")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("0111","1"),("1111","1101")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("0111","1"),("1111","1110")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("0111","10"),("1100","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("0111","10"),("1101","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("0111","10"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("0111","100"),("1001","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("0111","101"),("1011","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("0111","101"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("0111","11"),("1","0001")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("0111","11"),("1","0010")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("0111","11"),("1","010")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("0111","11"),("1","0101")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("0111","11"),("1","0110")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("0111","11"),("11","0110")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("0111","11"),("110","0110")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("0111","11"),("1100","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("0111","11"),("1111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("0111","110"),("1011","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("0111","110"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("0111","1100"),("1100","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("0111","1101"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("0111","1110"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("0111","1111"),("1111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("1","0"),("1001","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("1","0"),("1010","01")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("1","0"),("1010","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("1","0"),("1100","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("1","0"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("1","00"),("1001","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("1","00"),("1100","1")] => ([0,1,2,3],[]) => False
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[("0","00"),("0","1011"),("1001","1"),("1111","10")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("1001","1"),("1111","101")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("1001","1"),("1111","11")] => ([0,1,2,3],[]) => False
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[("0","00"),("0","1011"),("1001","1000"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("1001","101"),("1110","1")] => ([0,1,2,3],[]) => False
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[("0","00"),("0","1011"),("1001","11"),("1111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("1001","11"),("1111","11")] => ([0,3],[1,2]) => True
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[("0","00"),("0","1011"),("1001","111"),("111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("1001","111"),("1111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("1001","111"),("1111","11")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("1001","1110"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("1001","1111"),("111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("1001","1111"),("1111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("1001","1111"),("1111","11")] => ([0,3],[1,2]) => True
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[("0","00"),("0","1011"),("101","0"),("1100","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("101","0"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("101","00"),("1100","1")] => ([0,1,2,3],[]) => False
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[("0","00"),("0","1011"),("101","0001"),("1100","1")] => ([0,1,2,3],[]) => False
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[("0","00"),("0","1011"),("101","01"),("1100","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("101","01"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("101","011"),("1011","1")] => ([0,1],[2,3]) => True
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[("0","00"),("0","1011"),("101","1"),("1010","0")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("101","1"),("1011","0")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("101","1"),("11","0")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("101","1"),("11","011")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("101","1"),("11","110")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("101","1"),("110","10")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("101","1"),("1100","01")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("101","1"),("1101","0")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("101","1"),("1101","10")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("101","1"),("1101","101")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("101","1"),("1101","110")] => ([0,2,3],[1]) => True
[("0","00"),("0","1011"),("101","1"),("111","0")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("101","1"),("111","011")] => ([0],[1,2,3]) => True
[("0","00"),("0","1011"),("101","1"),("1110","0")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("101","1"),("1111","0")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("101","1"),("1111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("101","1"),("1111","110")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("101","10"),("1100","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("101","1000"),("1100","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("101","111"),("1111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("101","1111"),("1111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("1010","0"),("1011","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("1010","0"),("110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("1010","0"),("1100","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("1010","0"),("1101","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("1010","0"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("1010","01"),("1011","01")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("1010","01"),("1011","0101")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("1010","01"),("1100","1")] => ([0,2,3],[1]) => True
[("0","00"),("0","1011"),("1010","01"),("1101","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("1010","01"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("1010","1"),("1011","0")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("1010","1"),("1011","01")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("1010","1"),("11","010")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("1010","1"),("11","0101")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("1010","1"),("1100","01")] => ([0,2,3],[1]) => True
[("0","00"),("0","1011"),("1010","1"),("1101","0")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("1010","1"),("1101","01")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("1010","1"),("111","010")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("1010","1"),("1110","0")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("1010","1"),("1110","010")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("1010","10"),("1011","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("1010","10"),("1100","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("1010","10"),("1101","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("1010","10"),("111","10")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("1010","10"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("1010","10"),("1110","10")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("1010","10"),("1110","1010")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("1011","0"),("1011","111")] => ([0,1,2],[3]) => True
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[("0","00"),("0","1011"),("1011","0"),("1100","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("1011","0"),("1101","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("1011","0"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("1011","00"),("1100","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("1011","000"),("1100","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("1011","0001"),("1100","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("1011","01"),("1011","11")] => ([0,1],[2,3]) => True
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[("0","00"),("0","1011"),("1011","01"),("1101","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("1011","01"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("1011","0101"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("1011","011"),("1101","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("1011","011"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("1011","1"),("1011","110")] => ([0,1],[2,3]) => True
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[("0","00"),("0","1011"),("1011","1"),("1101","011")] => ([0,1],[2,3]) => True
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[("0","00"),("0","1011"),("1011","10"),("1100","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("1011","10"),("1101","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("1011","10"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("1011","1000"),("1100","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("1011","11"),("1101","0")] => ([0,1,2,3],[]) => False
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[("0","00"),("0","1011"),("11","0"),("1101","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("11","0"),("1110","1")] => ([0,1,2,3],[]) => False
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[("0","00"),("0","1011"),("11","0001"),("1100","1")] => ([0,1,2,3],[]) => False
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[("0","00"),("0","1011"),("11","01"),("1100","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("11","01"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("11","011"),("1100","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("11","0110"),("110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("11","0110"),("1100","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("11","0111"),("1101","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("11","10"),("110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("11","10"),("1100","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("11","10"),("1101","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("11","10"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("11","10"),("1110","11")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("11","100"),("1100","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("11","1000"),("1100","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("11","1000"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("11","101"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("11","110"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("11","1100"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("11","1110"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("110","0"),("1100","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("110","0"),("1101","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("110","0"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("110","00"),("1100","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("110","000"),("1100","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("110","0001"),("1100","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("110","0011"),("1100","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("110","01"),("1100","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("110","01"),("1101","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("110","01"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("110","011"),("1100","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("110","011"),("1101","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("110","0110"),("1100","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("110","0111"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("110","1"),("1100","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("110","1"),("1100","101")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("110","1"),("1101","0")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("110","1"),("1101","01")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("110","1"),("1101","011")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("110","1"),("1101","10")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("110","1"),("1101","101")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("110","1"),("111","0")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("110","1"),("111","01")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("110","1"),("111","011")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("110","1"),("111","0110")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("110","1"),("111","10")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("110","1"),("111","101")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("110","1"),("1110","01")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("110","1"),("1110","011")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("110","1"),("1110","10")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("110","1"),("1111","0")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("110","1"),("1111","011")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("110","1"),("1111","0110")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("110","1"),("1111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("110","1"),("1111","10")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("110","1"),("1111","101")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("110","10"),("1101","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("110","10"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("110","1000"),("1100","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("110","1000"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("110","1101"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("110","111"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("110","111"),("1111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("110","111"),("1111","11")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("110","1110"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("110","1111"),("1111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("1100","0"),("1101","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("1100","0"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("1100","00"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("1100","000"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("1100","0001"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("1100","001"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("1100","01"),("1101","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("1100","01"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("1100","0111"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("1100","1"),("1101","0")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("1100","1"),("1101","000")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("1100","1"),("1101","0001")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("1100","1"),("1101","01")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("1100","1"),("1101","10")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("1100","1"),("1101","1000")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("1100","1"),("111","0")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("1100","1"),("111","000")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("1100","1"),("111","0011")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("1100","1"),("111","01")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("1100","1"),("111","011")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("1100","1"),("111","0110")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("1100","1"),("111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("1100","1"),("111","10")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("1100","1"),("111","110")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("1100","1"),("1110","0")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("1100","1"),("1110","00")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("1100","1"),("1110","000")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("1100","1"),("1110","0001")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("1100","1"),("1110","001")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("1100","1"),("1110","0011")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("1100","1"),("1110","01")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("1100","1"),("1110","011")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("1100","1"),("1110","100")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("1100","1"),("1110","1000")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("1100","1"),("1111","0")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("1100","1"),("1111","0011")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("1100","1"),("1111","011")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("1100","1"),("1111","0110")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("1100","1"),("1111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("1100","1"),("1111","10")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("1100","1"),("1111","11")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("1100","1"),("1111","110")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("1100","10"),("1101","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("1100","10"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("1100","100"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("1100","1000"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("1100","101"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("1100","1101"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("1100","111"),("1111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("1100","111"),("1111","11")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("1100","1110"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("1100","1111"),("1111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("1101","0"),("1101","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("1101","0"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("1101","01"),("1101","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("1101","01"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("1101","1"),("1101","10")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("1101","1"),("1101","101")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("1101","1"),("111","0")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("1101","1"),("111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("1101","1"),("111","10")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("1101","1"),("1110","0")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("1101","1"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("1101","1"),("1110","10")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("1101","1"),("1111","0")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("1101","1"),("1111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("1101","1"),("1111","10")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("1101","1"),("1111","11")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("1101","10"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("1101","101"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("1101","11"),("111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("1101","11"),("1111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("1101","11"),("1111","11")] => ([0,3],[1,2]) => True
[("0","00"),("0","1011"),("1101","111"),("111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("1101","111"),("1111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("1101","111"),("1111","11")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("1101","1111"),("111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("1101","1111"),("1111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("1101","1111"),("1111","11")] => ([0,3],[1,2]) => True
[("0","00"),("0","1011"),("111","0"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("111","0001"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("111","01"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("111","1"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("111","1"),("1110","11")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("111","1"),("1110","1111")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("111","10"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("111","101"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("111","110"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("111","1101"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("111","1110"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("1110","0"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("1110","01"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("1110","011"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("1110","1"),("1110","10")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("1110","1"),("1110","101")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("1110","1"),("1111","0")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("1110","1"),("1111","000")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("1110","1"),("1111","0001")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("1110","1"),("1111","01")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("1110","1"),("1111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("1110","1"),("1111","10")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("1110","1"),("1111","101")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("1110","1"),("1111","11")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("1110","1"),("1111","110")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("1110","1"),("1111","1101")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("1110","1"),("1111","1110")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("1110","10"),("1110","11")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("1110","11"),("1111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("1110","11"),("1111","11")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("1110","1111"),("1111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1011"),("1110","1111"),("1111","11")] => ([0,1,2,3],[]) => False
[("0","00"),("0","11"),("00","0001"),("110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","11"),("00","0001"),("1100","10")] => ([0,1,2,3],[]) => False
[("0","00"),("0","11"),("0001","0"),("0011","0010")] => ([0,1,2,3],[]) => False
[("0","00"),("0","11"),("0001","0"),("011","001")] => ([0,1,2,3],[]) => False
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[("0","00"),("0","11"),("0001","0"),("1001","1")] => ([0,1,2,3],[]) => False
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[("0","00"),("0","11"),("1001","01"),("1111","0")] => ([0,1,2,3],[]) => False
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[("0","00"),("0","11"),("1001","1"),("101","01")] => ([0,1,2,3],[]) => False
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[("0","00"),("0","11"),("1001","1"),("11","101")] => ([0,1,2,3],[]) => False
[("0","00"),("0","11"),("1001","1"),("1111","0")] => ([0,1,2,3],[]) => False
[("0","00"),("0","11"),("1001","1"),("1111","00")] => ([0,1,2,3],[]) => False
[("0","00"),("0","11"),("1001","1"),("1111","0010")] => ([0,1,2,3],[]) => False
[("0","00"),("0","11"),("1001","1"),("1111","0011")] => ([0,1,2,3],[]) => False
[("0","00"),("0","11"),("1001","1"),("1111","101")] => ([0,1,2,3],[]) => False
[("0","00"),("0","11"),("101","1"),("1111","0")] => ([0,1,2,3],[]) => False
[("0","00"),("0","11"),("101","1"),("1111","011")] => ([0,1,2,3],[]) => False
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[("0","00"),("0","11"),("1011","1"),("111","0")] => ([0,1,2,3],[]) => False
[("0","00"),("0","11"),("1011","1"),("111","011")] => ([0,1,2,3],[]) => False
[("0","00"),("0","11"),("1011","1"),("1111","0111")] => ([0,1],[2,3]) => True
[("0","00"),("0","11"),("1011","1"),("1111","110")] => ([0,1,2,3],[]) => False
[("0","00"),("0","111"),("00","0001"),("1110","11")] => ([0,1,2,3],[]) => False
[("0","00"),("0","111"),("0001","0"),("0111","001")] => ([0,1,2,3],[]) => False
[("0","00"),("0","111"),("0001","0"),("1011","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","111"),("0001","0"),("1011","11")] => ([0,2,3],[1]) => True
[("0","00"),("0","111"),("0001","0"),("11","0100")] => ([0,1,2,3],[]) => False
[("0","00"),("0","111"),("0001","000"),("1100","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","111"),("0001","10"),("0111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","111"),("0001","10"),("1011","1")] => ([0,2,3],[1]) => True
[("0","00"),("0","111"),("0001","10"),("110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","111"),("0001","10"),("1100","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","111"),("0001","10"),("1101","1")] => ([0,2,3],[1]) => True
[("0","00"),("0","111"),("0001","10"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","111"),("0001","1000"),("1100","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","111"),("0001","11"),("1011","0")] => ([0,2,3],[1]) => True
[("0","00"),("0","111"),("001","0"),("0111","01")] => ([0,1,2,3],[]) => False
[("0","00"),("0","111"),("001","0"),("1011","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","111"),("001","000"),("1100","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","111"),("001","0110"),("1100","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","111"),("001","10"),("0111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","111"),("001","10"),("1011","1")] => ([0,2,3],[1]) => True
[("0","00"),("0","111"),("001","10"),("1100","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","111"),("001","10"),("1101","1")] => ([0,2,3],[1]) => True
[("0","00"),("0","111"),("001","10"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","111"),("001","100"),("1100","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","111"),("001","1000"),("1100","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","111"),("001","1100"),("1100","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","111"),("0010","0"),("0111","010")] => ([0,1,2,3],[]) => False
[("0","00"),("0","111"),("0010","0"),("111","01")] => ([0,1,2,3],[]) => False
[("0","00"),("0","111"),("0010","0"),("1110","001")] => ([0,1,2,3],[]) => False
[("0","00"),("0","111"),("0010","0"),("1111","10")] => ([0,1,2,3],[]) => False
[("0","00"),("0","111"),("0010","101"),("0111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","111"),("0011","0"),("0111","011")] => ([0,1,2,3],[]) => False
[("0","00"),("0","111"),("0011","0"),("0111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","111"),("0011","0"),("1","110")] => ([0,1,2,3],[]) => False
[("0","00"),("0","111"),("0011","0"),("1001","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","111"),("0011","0"),("1010","01")] => ([0,1,2,3],[]) => False
[("0","00"),("0","111"),("0011","0"),("1011","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","111"),("0011","0"),("1011","110")] => ([0,1,2,3],[]) => False
[("0","00"),("0","111"),("0011","0"),("1011","1100")] => ([0,1,2,3],[]) => False
[("0","00"),("0","111"),("0011","0"),("1101","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","111"),("0011","0"),("1111","110")] => ([0,1,2,3],[]) => False
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[("0","00"),("0","111"),("0011","01"),("1101","1")] => ([0,1,2,3],[]) => False
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[("0","00"),("0","111"),("0011","1"),("0111","110")] => ([0,1,2,3],[]) => False
[("0","00"),("0","111"),("0011","1"),("1","000")] => ([0,1,2,3],[]) => False
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[("0","00"),("0","111"),("0011","1"),("1","01")] => ([0,1,2,3],[]) => False
[("0","00"),("0","111"),("0011","1"),("1","0110")] => ([0,1,2,3],[]) => False
[("0","00"),("0","111"),("0011","1"),("1","110")] => ([0,1,2,3],[]) => False
[("0","00"),("0","111"),("0011","1"),("10","000")] => ([0,1,2,3],[]) => False
[("0","00"),("0","111"),("0011","1"),("10","0001")] => ([0,1,2,3],[]) => False
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[("0","00"),("0","111"),("0011","1"),("10","1100")] => ([0,1,2,3],[]) => False
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[("0","00"),("0","111"),("0011","1"),("1001","000")] => ([0,1,2,3],[]) => False
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[("0","00"),("0","111"),("0011","1"),("101","01")] => ([0,1,2,3],[]) => False
[("0","00"),("0","111"),("0011","1"),("101","10")] => ([0,2,3],[1]) => True
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[("0","00"),("0","111"),("0011","1"),("1010","01")] => ([0,1,2,3],[]) => False
[("0","00"),("0","111"),("0011","1"),("1010","10")] => ([0,2,3],[1]) => True
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[("0","00"),("0","111"),("0011","1"),("1011","01")] => ([0,1,2,3],[]) => False
[("0","00"),("0","111"),("0011","1"),("1011","10")] => ([0,2,3],[1]) => True
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[("0","00"),("0","111"),("0011","1"),("11","000")] => ([0,1,2,3],[]) => False
[("0","00"),("0","111"),("0011","1"),("11","0001")] => ([0,1,2,3],[]) => False
[("0","00"),("0","111"),("0011","1"),("11","0011")] => ([0,1,2,3],[]) => False
[("0","00"),("0","111"),("0011","1"),("11","01")] => ([0,1,2,3],[]) => False
[("0","00"),("0","111"),("0011","1"),("11","0110")] => ([0,1,2,3],[]) => False
[("0","00"),("0","111"),("0011","1"),("11","10")] => ([0,1,2,3],[]) => False
[("0","00"),("0","111"),("0011","1"),("11","100")] => ([0,1,2,3],[]) => False
[("0","00"),("0","111"),("0011","1"),("11","1000")] => ([0,1,2,3],[]) => False
[("0","00"),("0","111"),("0011","1"),("11","110")] => ([0,1,2,3],[]) => False
[("0","00"),("0","111"),("0011","1"),("11","1110")] => ([0,1,2,3],[]) => False
[("0","00"),("0","111"),("0011","1"),("110","00")] => ([0,1,2,3],[]) => False
[("0","00"),("0","111"),("0011","1"),("110","000")] => ([0,1,2,3],[]) => False
[("0","00"),("0","111"),("0011","1"),("110","01")] => ([0,1,2,3],[]) => False
[("0","00"),("0","111"),("0011","1"),("110","011")] => ([0,1,2,3],[]) => False
[("0","00"),("0","111"),("0011","1"),("110","0110")] => ([0,1,2,3],[]) => False
[("0","00"),("0","111"),("0011","1"),("110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","111"),("0011","1"),("110","10")] => ([0,1,2,3],[]) => False
[("0","00"),("0","111"),("0011","1"),("110","1000")] => ([0,1,2,3],[]) => False
[("0","00"),("0","111"),("0011","1"),("1100","0001")] => ([0,1,2,3],[]) => False
[("0","00"),("0","111"),("0011","1"),("1100","0011")] => ([0,1,2,3],[]) => False
[("0","00"),("0","111"),("0011","1"),("1100","01")] => ([0,1,2,3],[]) => False
[("0","00"),("0","111"),("0011","1"),("1100","011")] => ([0,1,2,3],[]) => False
[("0","00"),("0","111"),("0011","1"),("1100","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","111"),("0011","1"),("1100","1101")] => ([0,1,2,3],[]) => False
[("0","00"),("0","111"),("0011","1"),("1101","0")] => ([0,1,2,3],[]) => False
[("0","00"),("0","111"),("0011","1"),("1101","10")] => ([0,1,2,3],[]) => False
[("0","00"),("0","111"),("0011","1"),("1101","110")] => ([0,2,3],[1]) => True
[("0","00"),("0","111"),("0011","1"),("111","0")] => ([0,1,2,3],[]) => False
[("0","00"),("0","111"),("0011","1"),("111","00")] => ([0,1,2,3],[]) => False
[("0","00"),("0","111"),("0011","1"),("111","000")] => ([0,1,2,3],[]) => False
[("0","00"),("0","111"),("0011","1"),("111","0001")] => ([0,1,2,3],[]) => False
[("0","00"),("0","111"),("0011","1"),("111","01")] => ([0,1,2,3],[]) => False
[("0","00"),("0","111"),("0011","1"),("111","10")] => ([0,1,2,3],[]) => False
[("0","00"),("0","111"),("0011","1"),("111","100")] => ([0,1,2,3],[]) => False
[("0","00"),("0","111"),("0011","1"),("111","1000")] => ([0,1,2,3],[]) => False
[("0","00"),("0","111"),("0011","1"),("1110","00")] => ([0,1,2,3],[]) => False
[("0","00"),("0","111"),("0011","1"),("1110","000")] => ([0,1,2,3],[]) => False
[("0","00"),("0","111"),("0011","1"),("1110","001")] => ([0,1,2,3],[]) => False
[("0","00"),("0","111"),("0011","1"),("1110","011")] => ([0,1,2,3],[]) => False
[("0","00"),("0","111"),("0011","1"),("1110","1000")] => ([0,1,2,3],[]) => False
[("0","00"),("0","111"),("0011","1"),("1111","000")] => ([0,1,2,3],[]) => False
[("0","00"),("0","111"),("0011","1"),("1111","0001")] => ([0,1,2,3],[]) => False
[("0","00"),("0","111"),("0011","1"),("1111","01")] => ([0,1,2,3],[]) => False
[("0","00"),("0","111"),("0011","1"),("1111","011")] => ([0,1,2,3],[]) => False
[("0","00"),("0","111"),("0011","1"),("1111","0110")] => ([0,1,2,3],[]) => False
[("0","00"),("0","111"),("0011","1"),("1111","110")] => ([0,1,2,3],[]) => False
[("0","00"),("0","111"),("0011","10"),("0111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","111"),("0011","10"),("101","1")] => ([0,2,3],[1]) => True
[("0","00"),("0","111"),("0011","10"),("1010","1")] => ([0,2,3],[1]) => True
[("0","00"),("0","111"),("0011","10"),("1010","10")] => ([0,3],[1,2]) => True
[("0","00"),("0","111"),("0011","10"),("1011","1")] => ([0,2,3],[1]) => True
[("0","00"),("0","111"),("0011","10"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","111"),("0011","100"),("1001","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","111"),("0011","101"),("0111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","111"),("0011","101"),("1010","01")] => ([0,1,2,3],[]) => False
[("0","00"),("0","111"),("0011","1010"),("1010","01")] => ([0,1,2,3],[]) => False
[("0","00"),("0","111"),("0011","1010"),("1010","10")] => ([0,3],[1,2]) => True
[("0","00"),("0","111"),("0011","110"),("0111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","111"),("0011","110"),("110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","111"),("0011","110"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","111"),("01","0"),("0111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","111"),("01","0"),("1011","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","111"),("01","0"),("1011","11")] => ([0,2,3],[1]) => True
[("0","00"),("0","111"),("01","0011"),("110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","111"),("01","0011"),("1110","11")] => ([0,1,2,3],[]) => False
[("0","00"),("0","111"),("01","10"),("0111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","111"),("01","10"),("1011","1")] => ([0,2,3],[1]) => True
[("0","00"),("0","111"),("01","1010"),("0111","11")] => ([0,1,2,3],[]) => False
[("0","00"),("0","111"),("01","1101"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","111"),("010","0"),("0111","10")] => ([0,1,2,3],[]) => False
[("0","00"),("0","111"),("0101","0"),("0111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","111"),("0101","0"),("0111","10")] => ([0,1,2,3],[]) => False
[("0","00"),("0","111"),("0101","0"),("0111","101")] => ([0,1,2,3],[]) => False
[("0","00"),("0","111"),("0101","0"),("110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","111"),("0101","01"),("0111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","111"),("0101","01"),("110","0101")] => ([0,2],[1,3]) => True
[("0","00"),("0","111"),("0101","01"),("110","1")] => ([0,2,3],[1]) => True
[("0","00"),("0","111"),("0101","011"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","111"),("0101","1"),("0111","01")] => ([0,1,2,3],[]) => False
[("0","00"),("0","111"),("0101","1"),("110","01")] => ([0,2,3],[1]) => True
[("0","00"),("0","111"),("0101","1"),("110","10")] => ([0,1,2,3],[]) => False
[("0","00"),("0","111"),("0101","1"),("111","0")] => ([0,1,2,3],[]) => False
[("0","00"),("0","111"),("0101","1"),("1111","0")] => ([0,1,2,3],[]) => False
[("0","00"),("0","111"),("0101","1"),("1111","010")] => ([0,1,2,3],[]) => False
[("0","00"),("0","111"),("0101","10"),("0111","01")] => ([0,1,2],[3]) => True
[("0","00"),("0","111"),("0101","10"),("0111","010")] => ([0,1,2,3],[]) => False
[("0","00"),("0","111"),("0101","10"),("0111","0101")] => ([0,1,2,3],[]) => False
[("0","00"),("0","111"),("0101","10"),("0111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","111"),("0101","10"),("0111","101")] => ([0,1,2,3],[]) => False
[("0","00"),("0","111"),("0101","10"),("1","0101")] => ([0,1,2,3],[]) => False
[("0","00"),("0","111"),("0101","10"),("1","101")] => ([0,1,2,3],[]) => False
[("0","00"),("0","111"),("0101","10"),("11","01")] => ([0,1,2,3],[]) => False
[("0","00"),("0","111"),("0101","10"),("11","010")] => ([0,1,2,3],[]) => False
[("0","00"),("0","111"),("0101","10"),("11","0101")] => ([0,1,2,3],[]) => False
[("0","00"),("0","111"),("0101","10"),("11","101")] => ([0,1,2,3],[]) => False
[("0","00"),("0","111"),("0101","10"),("110","0")] => ([0,1,2,3],[]) => False
[("0","00"),("0","111"),("0101","10"),("110","01")] => ([0,1,2,3],[]) => False
[("0","00"),("0","111"),("0101","10"),("110","010")] => ([0,1,2,3],[]) => False
[("0","00"),("0","111"),("0101","10"),("110","0101")] => ([0,1,2,3],[]) => False
[("0","00"),("0","111"),("0101","10"),("110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","111"),("0101","10"),("110","101")] => ([0,1,2,3],[]) => False
[("0","00"),("0","111"),("0101","10"),("1110","01")] => ([0,1,2,3],[]) => False
[("0","00"),("0","111"),("0101","10"),("1110","0101")] => ([0,1,2,3],[]) => False
[("0","00"),("0","111"),("0101","10"),("1111","0")] => ([0,1,2,3],[]) => False
[("0","00"),("0","111"),("0101","10"),("1111","01")] => ([0,1,2,3],[]) => False
[("0","00"),("0","111"),("011","0"),("0111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","111"),("011","0"),("0111","11")] => ([0,1,2,3],[]) => False
[("0","00"),("0","111"),("011","0"),("1001","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","111"),("011","0"),("1011","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","111"),("011","0"),("1101","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","111"),("011","01"),("0111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","111"),("011","01"),("1001","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","111"),("011","1"),("0111","011")] => ([0,1,2,3],[]) => False
[("0","00"),("0","111"),("011","1"),("0111","101")] => ([0,1,2,3],[]) => False
[("0","00"),("0","111"),("011","1"),("0111","110")] => ([0,1,2,3],[]) => False
[("0","00"),("0","111"),("011","1"),("1001","0")] => ([0,1,2,3],[]) => False
[("0","00"),("0","111"),("011","1"),("1001","011")] => ([0,1,2,3],[]) => False
[("0","00"),("0","111"),("011","1"),("1001","10")] => ([0,1,2,3],[]) => False
[("0","00"),("0","111"),("011","1"),("1011","0")] => ([0,1,2,3],[]) => False
[("0","00"),("0","111"),("011","1"),("1011","01")] => ([0,1,2,3],[]) => False
[("0","00"),("0","111"),("011","1"),("1011","011")] => ([0,1,2,3],[]) => False
[("0","00"),("0","111"),("011","1"),("1011","10")] => ([0,2,3],[1]) => True
[("0","00"),("0","111"),("011","1"),("11","1110")] => ([0,1,2,3],[]) => False
[("0","00"),("0","111"),("011","1"),("1101","0")] => ([0,1,2,3],[]) => False
[("0","00"),("0","111"),("011","1"),("1101","10")] => ([0,1,2,3],[]) => False
[("0","00"),("0","111"),("011","1"),("1110","01")] => ([0,1,2,3],[]) => False
[("0","00"),("0","111"),("011","1"),("1111","01")] => ([0,1,2,3],[]) => False
[("0","00"),("0","111"),("011","10"),("0111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","111"),("011","10"),("1011","1")] => ([0,2,3],[1]) => True
[("0","00"),("0","111"),("011","10"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","111"),("011","101"),("0111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","111"),("0110","0"),("0111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","111"),("0110","0"),("0111","110")] => ([0,1,2,3],[]) => False
[("0","00"),("0","111"),("0110","01"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","111"),("0110","0111"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","111"),("0110","1"),("0111","10")] => ([0,1,2,3],[]) => False
[("0","00"),("0","111"),("0110","1"),("1","0")] => ([0,1,2,3],[]) => False
[("0","00"),("0","111"),("0110","1"),("1","0011")] => ([0,1,2,3],[]) => False
[("0","00"),("0","111"),("0110","1"),("1","01")] => ([0,1,2,3],[]) => False
[("0","00"),("0","111"),("0110","1"),("1","011")] => ([0,1,2,3],[]) => False
[("0","00"),("0","111"),("0110","1"),("1","1011")] => ([0,1,2,3],[]) => False
[("0","00"),("0","111"),("0110","1"),("1011","0")] => ([0,1,2,3],[]) => False
[("0","00"),("0","111"),("0110","1"),("1011","01")] => ([0,2,3],[1]) => True
[("0","00"),("0","111"),("0110","1"),("1011","10")] => ([0,2,3],[1]) => True
[("0","00"),("0","111"),("0110","1"),("11","0")] => ([0,1,2,3],[]) => False
[("0","00"),("0","111"),("0110","1"),("11","011")] => ([0,1,2,3],[]) => False
[("0","00"),("0","111"),("0110","1"),("111","0")] => ([0,1,2,3],[]) => False
[("0","00"),("0","111"),("0110","1"),("111","011")] => ([0,1,2,3],[]) => False
[("0","00"),("0","111"),("0110","1"),("111","101")] => ([0,1,2,3],[]) => False
[("0","00"),("0","111"),("0110","1"),("1111","0")] => ([0,1,2,3],[]) => False
[("0","00"),("0","111"),("0110","1"),("1111","01")] => ([0,1,2,3],[]) => False
[("0","00"),("0","111"),("0110","1"),("1111","011")] => ([0,1,2,3],[]) => False
[("0","00"),("0","111"),("0110","101"),("0111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","111"),("0111","01"),("0111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","111"),("0111","01"),("101","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","111"),("0111","01"),("1011","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","111"),("0111","01"),("1101","11")] => ([0,1,2,3],[]) => False
[("0","00"),("0","111"),("0111","011"),("1011","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","111"),("0111","1"),("0111","10")] => ([0,1,2,3],[]) => False
[("0","00"),("0","111"),("0111","1"),("0111","101")] => ([0,1,2,3],[]) => False
[("0","00"),("0","111"),("0111","1"),("1","110")] => ([0,1,2,3],[]) => False
[("0","00"),("0","111"),("0111","1"),("1001","01")] => ([0,1,2,3],[]) => False
[("0","00"),("0","111"),("0111","1"),("1001","0111")] => ([0,1,2,3],[]) => False
[("0","00"),("0","111"),("0111","1"),("101","0")] => ([0,1,2,3],[]) => False
[("0","00"),("0","111"),("0111","1"),("101","10")] => ([0,1,2,3],[]) => False
[("0","00"),("0","111"),("0111","1"),("1011","0")] => ([0,1,2,3],[]) => False
[("0","00"),("0","111"),("0111","1"),("1011","01")] => ([0,1,2,3],[]) => False
[("0","00"),("0","111"),("0111","1"),("1011","10")] => ([0,1,2,3],[]) => False
[("0","00"),("0","111"),("0111","1"),("1011","101")] => ([0,1,2,3],[]) => False
[("0","00"),("0","111"),("0111","1"),("1011","110")] => ([0,1,2,3],[]) => False
[("0","00"),("0","111"),("0111","1"),("11","0")] => ([0,1,2,3],[]) => False
[("0","00"),("0","111"),("0111","1"),("11","10")] => ([0,1,2,3],[]) => False
[("0","00"),("0","111"),("0111","1"),("1101","0")] => ([0,1,2,3],[]) => False
[("0","00"),("0","111"),("0111","1"),("1101","10")] => ([0,1,2,3],[]) => False
[("0","00"),("0","111"),("0111","1"),("111","01")] => ([0,1,2,3],[]) => False
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[("0","00"),("0","111"),("1","0010"),("1001","1")] => ([0,1,2,3],[]) => False
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[("0","00"),("0","111"),("1","01"),("1101","1")] => ([0,1,2,3],[]) => False
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[("0","00"),("0","111"),("1001","01"),("1011","1")] => ([0,2,3],[1]) => True
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[("0","00"),("0","111"),("1001","1"),("1011","01")] => ([0,2,3],[1]) => True
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[("0","00"),("0","111"),("1001","1"),("11","101")] => ([0,1,2,3],[]) => False
[("0","00"),("0","111"),("1001","1"),("111","0")] => ([0,1,2,3],[]) => False
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[("0","00"),("0","111"),("1001","1"),("111","101")] => ([0,1,2,3],[]) => False
[("0","00"),("0","111"),("1001","1"),("1111","00")] => ([0,1,2,3],[]) => False
[("0","00"),("0","111"),("1001","1"),("1111","0010")] => ([0,1,2,3],[]) => False
[("0","00"),("0","111"),("1001","1"),("1111","01")] => ([0,1,2,3],[]) => False
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[("0","00"),("0","111"),("1011","1"),("111","10")] => ([0,1,2,3],[]) => False
[("0","00"),("0","111"),("1011","1"),("111","110")] => ([0,1],[2,3]) => True
[("0","00"),("0","111"),("1011","1"),("111","1101")] => ([0,1],[2,3]) => True
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[("0","00"),("0","111"),("1011","1"),("1111","01")] => ([0,1,2,3],[]) => False
[("0","00"),("0","111"),("1011","1"),("1111","011")] => ([0,1,2,3],[]) => False
[("0","00"),("0","111"),("1011","1"),("1111","10")] => ([0,1,2,3],[]) => False
[("0","00"),("0","111"),("1011","1"),("1111","110")] => ([0,1,2,3],[]) => False
[("0","00"),("0","111"),("1011","11"),("111","0")] => ([0,1,2,3],[]) => False
[("0","00"),("0","111"),("1011","11"),("1111","0")] => ([0,1,2,3],[]) => False
[("0","00"),("0","111"),("1011","11"),("1111","10")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1111"),("0001","0"),("111","0100")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1111"),("0001","10"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1111"),("0001","11"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1111"),("0001","110"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1111"),("001","0"),("111","10")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1111"),("001","10"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1111"),("0010","0"),("1111","01")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1111"),("0011","0"),("1100","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1111"),("0011","000"),("1100","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1111"),("0011","01"),("1","110")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1111"),("0011","01"),("1","1100")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1111"),("0011","01"),("110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1111"),("0011","01"),("1101","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1111"),("0011","01"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1111"),("0011","0110"),("1100","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1111"),("0011","1"),("1","00")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1111"),("0011","1"),("1","000")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1111"),("0011","1"),("1","0001")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1111"),("0011","1"),("1","001")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1111"),("0011","1"),("1","01")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1111"),("0011","1"),("1","0110")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1111"),("0011","1"),("1","10")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1111"),("0011","1"),("1","1000")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1111"),("0011","1"),("1","110")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1111"),("0011","1"),("11","0")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1111"),("0011","1"),("11","000")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1111"),("0011","1"),("11","0001")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1111"),("0011","1"),("11","001")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1111"),("0011","1"),("11","01")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1111"),("0011","1"),("11","110")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1111"),("0011","1"),("110","0")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1111"),("0011","1"),("110","000")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1111"),("0011","1"),("110","0001")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1111"),("0011","1"),("110","0011")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1111"),("0011","1"),("110","01")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1111"),("0011","1"),("110","011")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1111"),("0011","1"),("110","0110")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1111"),("0011","1"),("1100","0001")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1111"),("0011","1"),("1100","001")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1111"),("0011","1"),("1100","0011")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1111"),("0011","1"),("1100","01")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1111"),("0011","1"),("1100","011")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1111"),("0011","1"),("1100","1101")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1111"),("0011","1"),("1101","0")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1111"),("0011","1"),("1101","01")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1111"),("0011","1"),("1101","10")] => ([0,2,3],[1]) => True
[("0","00"),("0","1111"),("0011","1"),("111","00")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1111"),("0011","1"),("111","000")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1111"),("0011","1"),("111","0001")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1111"),("0011","1"),("111","01")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1111"),("0011","1"),("111","011")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1111"),("0011","1"),("111","0110")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1111"),("0011","1"),("111","10")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1111"),("0011","1"),("111","100")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1111"),("0011","1"),("111","1000")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1111"),("0011","1"),("111","110")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1111"),("0011","1"),("1110","00")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1111"),("0011","1"),("1110","000")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1111"),("0011","1"),("1110","01")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1111"),("0011","1"),("1110","011")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1111"),("0011","1"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1111"),("0011","1"),("1110","10")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1111"),("0011","1"),("1110","1000")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1111"),("0011","1"),("1110","11")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1111"),("0011","1"),("1110","110")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1111"),("0011","1"),("1111","0")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1111"),("0011","1"),("1111","00")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1111"),("0011","1"),("1111","000")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1111"),("0011","1"),("1111","0001")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1111"),("0011","1"),("1111","01")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1111"),("0011","1"),("1111","10")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1111"),("0011","1"),("1111","100")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1111"),("0011","1"),("1111","1000")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1111"),("0011","10"),("110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1111"),("0011","10"),("1101","1")] => ([0,2,3],[1]) => True
[("0","00"),("0","1111"),("0011","10"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1111"),("0011","110"),("110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1111"),("0011","110"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1111"),("01","0"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1111"),("01","0011"),("1110","11")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1111"),("01","10"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1111"),("01","101"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1111"),("01","110"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1111"),("01","1101"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1111"),("0101","0"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1111"),("0101","01"),("1110","01")] => ([0,2],[1,3]) => True
[("0","00"),("0","1111"),("0101","01"),("1110","0101")] => ([0,2],[1,3]) => True
[("0","00"),("0","1111"),("0101","01"),("1110","1")] => ([0,2,3],[1]) => True
[("0","00"),("0","1111"),("0101","011"),("1110","1")] => ([0,2,3],[1]) => True
[("0","00"),("0","1111"),("0101","1"),("1110","01")] => ([0,2,3],[1]) => True
[("0","00"),("0","1111"),("0101","1"),("1110","10")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1111"),("0101","1"),("1111","0")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1111"),("0101","10"),("1","010")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1111"),("0101","10"),("1","0101")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1111"),("0101","10"),("1","101")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1111"),("0101","10"),("11","01")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1111"),("0101","10"),("11","0101")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1111"),("0101","10"),("11","101")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1111"),("0101","10"),("111","0")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1111"),("0101","10"),("111","01")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1111"),("0101","10"),("111","010")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1111"),("0101","10"),("111","101")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1111"),("0101","10"),("1110","0")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1111"),("0101","10"),("1110","01")] => ([0,1,2],[3]) => True
[("0","00"),("0","1111"),("0101","10"),("1110","010")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1111"),("0101","10"),("1110","0101")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1111"),("0101","10"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1111"),("0101","10"),("1110","101")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1111"),("011","01"),("1101","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1111"),("011","01"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1111"),("011","1"),("1","0")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1111"),("011","1"),("1","01")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1111"),("011","1"),("11","01")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1111"),("011","1"),("110","01")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1111"),("011","1"),("110","011")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1111"),("011","1"),("1101","0")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1111"),("011","1"),("1101","01")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1111"),("011","1"),("111","10")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1111"),("011","1"),("1110","011")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1111"),("011","1"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1111"),("011","1"),("1110","10")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1111"),("011","1"),("1110","11")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1111"),("011","1"),("1110","110")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1111"),("011","1"),("1111","0")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1111"),("011","1"),("1111","10")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1111"),("011","10"),("1101","1")] => ([0,2,3],[1]) => True
[("0","00"),("0","1111"),("011","10"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1111"),("011","110"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1111"),("011","1101"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1111"),("0110","1"),("1","0")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1111"),("0110","1"),("1","0011")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1111"),("0110","1"),("1","011")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1111"),("0110","1"),("1","1011")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1111"),("0110","1"),("11","0")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1111"),("0110","1"),("11","011")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1111"),("0110","1"),("111","0")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1111"),("0110","1"),("111","01")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1111"),("0110","1"),("111","011")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1111"),("0110","1"),("111","101")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1111"),("0110","1"),("1111","0")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1111"),("0110","1"),("1111","011")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1111"),("0111","0"),("1001","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1111"),("0111","0"),("1011","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1111"),("0111","0"),("1101","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1111"),("0111","0"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1111"),("0111","01"),("1001","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1111"),("0111","01"),("1101","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1111"),("0111","01"),("1101","11")] => ([0,2,3],[1]) => True
[("0","00"),("0","1111"),("0111","011"),("1011","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1111"),("0111","011"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1111"),("0111","1"),("1","0")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1111"),("0111","1"),("1","01")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1111"),("0111","1"),("1","011")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1111"),("0111","1"),("1","101")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1111"),("0111","1"),("1","110")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1111"),("0111","1"),("1001","0")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1111"),("0111","1"),("1001","01")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1111"),("0111","1"),("1001","1")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1111"),("0111","1"),("1001","10")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1111"),("0111","1"),("1001","101")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1111"),("0111","1"),("101","0")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1111"),("0111","1"),("101","01")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1111"),("0111","1"),("101","10")] => ([0,2,3],[1]) => True
[("0","00"),("0","1111"),("0111","1"),("1011","0")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1111"),("0111","1"),("1011","01")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1111"),("0111","1"),("1011","011")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1111"),("0111","1"),("1011","10")] => ([0,2,3],[1]) => True
[("0","00"),("0","1111"),("0111","1"),("1011","101")] => ([0,2,3],[1]) => True
[("0","00"),("0","1111"),("0111","1"),("1011","110")] => ([0,2,3],[1]) => True
[("0","00"),("0","1111"),("0111","1"),("11","0")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1111"),("0111","1"),("11","10")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1111"),("0111","1"),("1101","0")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1111"),("0111","1"),("1101","10")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1111"),("0111","1"),("111","0")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1111"),("0111","1"),("111","01")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1111"),("0111","1"),("111","011")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1111"),("0111","1"),("111","10")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1111"),("0111","1"),("111","101")] => ([0,1,2,3],[]) => False
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[("0","00"),("0","1111"),("1001","1"),("111","101")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1111"),("1001","1"),("1111","0")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1111"),("1001","1"),("1111","00")] => ([0,1,2,3],[]) => False
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[("0","00"),("0","1111"),("101","1"),("111","01")] => ([0,1,2,3],[]) => False
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[("0","00"),("0","1111"),("1011","1"),("11","1101")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1111"),("1011","1"),("11","1110")] => ([0,1,2,3],[]) => False
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[("0","00"),("0","1111"),("1011","1"),("111","10")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1111"),("1011","1"),("111","101")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1111"),("1011","1"),("111","110")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1111"),("1011","1"),("1111","0")] => ([0,1,2,3],[]) => False
[("0","00"),("0","1111"),("1011","1"),("1111","0111")] => ([0,1],[2,3]) => True
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[("0","00"),("0","1111"),("1011","1"),("1111","110")] => ([0,1],[2,3]) => True
[("0","00"),("0","1111"),("1011","1"),("1111","1101")] => ([0,1],[2,3]) => True
[("0","00"),("0","1111"),("1011","1"),("1111","1110")] => ([0,1],[2,3]) => True
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[("0","00"),("0","1111"),("1011","11"),("1111","1110")] => ([0,1],[2,3]) => True
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[("0","00"),("00","000"),("00","1001"),("0110","1")] => ([0,1,2,3],[]) => False
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[("0","00"),("00","000"),("0000","1001"),("0011","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","000"),("0000","1001"),("0110","1")] => ([0,1,2,3],[]) => False
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[("0","00"),("00","000"),("0001","0"),("1","1101")] => ([0,1,2,3],[]) => False
[("0","00"),("00","000"),("0001","00"),("1","1101")] => ([0,1,2,3],[]) => False
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[("0","00"),("00","000"),("0001","011"),("0110","1")] => ([0,1,2,3],[]) => False
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[("0","00"),("00","000"),("0001","1100"),("0110","1")] => ([0,1,2,3],[]) => False
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[("0","00"),("00","000"),("001","1001"),("0110","1")] => ([0,1,2,3],[]) => False
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[("0","00"),("00","000"),("001","1100"),("0110","1")] => ([0,1,2,3],[]) => False
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[("0","00"),("00","000"),("0010","0011"),("0110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","000"),("0010","011"),("0110","1")] => ([0,1,2,3],[]) => False
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[("0","00"),("00","000"),("0010","11"),("0110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","000"),("0010","110"),("0110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","000"),("0010","1100"),("0110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","000"),("0011","01"),("1","1101")] => ([0,1,2,3],[]) => False
[("0","00"),("00","000"),("0011","1"),("1","011")] => ([0,1,2,3],[]) => False
[("0","00"),("00","000"),("0011","1"),("1","110")] => ([0,1,2,3],[]) => False
[("0","00"),("00","000"),("0011","1"),("10","1001")] => ([0,1,2,3],[]) => False
[("0","00"),("00","000"),("0011","1"),("10","1100")] => ([0,1,2,3],[]) => False
[("0","00"),("00","000"),("01","0011"),("0110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","000"),("01","011"),("0110","1")] => ([0,1,2,3],[]) => False
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[("0","00"),("00","000"),("01","110"),("0110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","000"),("01","1100"),("0110","1")] => ([0,1,2,3],[]) => False
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[("0","00"),("00","000"),("010","011"),("0110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","000"),("010","0110"),("0110","1")] => ([0,1,2,3],[]) => False
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[("0","00"),("00","0000"),("0011","01"),("1","1101")] => ([0,1,2,3],[]) => False
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[("0","00"),("00","0001"),("00","1001"),("1100","1")] => ([0,1,2,3],[]) => False
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[("0","00"),("00","0001"),("00","11"),("110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0001"),("00","11"),("1100","10")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0001"),("00","110"),("1110","11")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0001"),("00","111"),("1110","11")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0001"),("000","01"),("0111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0001"),("000","01"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0001"),("000","011"),("1100","10")] => ([0,1,2,3],[]) => False
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[("0","00"),("00","0001"),("000","100"),("1100","10")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0001"),("000","1000"),("1100","10")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0001"),("000","1001"),("110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0001"),("000","1001"),("1100","1")] => ([0,1,2,3],[]) => False
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[("0","00"),("00","0001"),("000","111"),("1110","11")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0001"),("000","1110"),("1111","11")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0001"),("0000","01"),("0111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0001"),("0000","01"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0001"),("0000","10"),("1010","01")] => ([0,1,2,3],[]) => False
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[("0","00"),("00","0001"),("0000","100"),("1100","10")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0001"),("0000","1000"),("1100","10")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0001"),("0000","1001"),("1100","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0001"),("0000","101"),("0111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0001"),("0000","101"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0001"),("0000","1011"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0001"),("0000","1011"),("1110","11")] => ([0,1,3],[2]) => True
[("0","00"),("00","0001"),("0000","110"),("1100","10")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0001"),("0000","110"),("1110","11")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0001"),("0000","1110"),("1111","11")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0001"),("0001","0"),("001","10")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0001"),("0001","0"),("001","100")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0001"),("0001","0"),("0010","100")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0001"),("0001","0"),("0101","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0001"),("0001","0"),("0111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0001"),("0001","0"),("101","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0001"),("0001","0"),("1010","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0001"),("0001","0"),("1011","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0001"),("0001","0"),("1011","11")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0001"),("0001","0"),("110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0001"),("0001","0"),("1100","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0001"),("0001","0"),("1101","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0001"),("0001","0"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0001"),("0001","00"),("1100","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0001"),("0001","000"),("1100","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0001"),("0001","0000"),("1100","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0001"),("0001","010"),("101","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0001"),("0001","010"),("1100","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0001"),("0001","0111"),("110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0001"),("0001","0111"),("1100","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0001"),("0001","10"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0001"),("0001","100"),("001","0")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0001"),("0001","100"),("1100","10")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0001"),("0001","1000"),("1100","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0001"),("0001","1001"),("110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0001"),("0001","1001"),("1100","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0001"),("0001","101"),("110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0001"),("0001","101"),("1100","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0001"),("0001","101"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0001"),("0001","1010"),("0101","10")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0001"),("0001","1011"),("110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0001"),("0001","1011"),("1100","10")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0001"),("0001","1011"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0001"),("0001","1011"),("1110","11")] => ([0,1,3],[2]) => True
[("0","00"),("00","0001"),("0001","11"),("0110","0")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0001"),("0001","110"),("0111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0001"),("0001","110"),("1010","01")] => ([0,1,3],[2]) => True
[("0","00"),("00","0001"),("0001","110"),("1100","10")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0001"),("0001","110"),("1110","11")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0001"),("0001","1101"),("110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0001"),("0001","1101"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0001"),("0001","1101"),("1110","11")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0001"),("0001","111"),("110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0001"),("0001","111"),("1100","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0001"),("0001","111"),("1100","10")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0001"),("0001","1110"),("1100","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0001"),("0001","1110"),("1100","10")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0001"),("001","0"),("1","1101")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0001"),("001","0"),("1010","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0001"),("001","0"),("1100","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0001"),("001","00"),("1100","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0001"),("001","0001"),("1100","1")] => ([0,1,2,3],[]) => False
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[("0","00"),("00","0001"),("0010","1001"),("1100","1")] => ([0,1,3],[2]) => True
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[("0","00"),("00","0001"),("0010","1101"),("110","1")] => ([0,1,3],[2]) => True
[("0","00"),("00","0001"),("0010","1101"),("1110","11")] => ([0,1,3],[2]) => True
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[("0","00"),("00","0001"),("0010","1111"),("1111","11")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0001"),("0010","1111"),("1111","111")] => ([0,1,2,3],[]) => False
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[("0","00"),("00","0001"),("0011","0001"),("1100","1")] => ([0,1,2,3],[]) => False
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[("0","00"),("00","0001"),("0011","1000"),("1100","1")] => ([0,1,2,3],[]) => False
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[("0","00"),("00","0001"),("0011","110"),("1100","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0001"),("01","0"),("1100","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0001"),("01","0001"),("1100","1")] => ([0,1,2,3],[]) => False
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[("0","00"),("00","0001"),("01","0111"),("1110","11")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0001"),("01","100"),("1100","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0001"),("01","1000"),("1100","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0001"),("01","1001"),("1100","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0001"),("01","101"),("110","1")] => ([0,1,2,3],[]) => False
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[("0","00"),("00","0001"),("01","110"),("1100","10")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0001"),("01","110"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0001"),("01","110"),("1110","11")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0001"),("01","1101"),("110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0001"),("01","1101"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0001"),("01","1101"),("1110","11")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0001"),("01","111"),("110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0001"),("01","111"),("1100","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0001"),("01","111"),("1100","10")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0001"),("01","111"),("1110","11")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0001"),("01","1110"),("1100","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0001"),("01","1110"),("1100","10")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0001"),("01","1110"),("1110","11")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0001"),("01","1111"),("1110","11")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0001"),("010","00"),("1100","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0001"),("010","0011"),("1100","10")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0001"),("010","011"),("110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0001"),("010","0110"),("1100","10")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0001"),("010","0111"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0001"),("010","0111"),("1110","11")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0001"),("010","100"),("1100","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0001"),("010","1000"),("1100","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0001"),("010","1001"),("1100","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0001"),("010","1010"),("1010","01")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0001"),("010","1011"),("110","1")] => ([0,1,2,3],[]) => False
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[("0","00"),("00","0001"),("010","1011"),("1110","11")] => ([0,1,3],[2]) => True
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[("0","00"),("00","0001"),("010","11"),("110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0001"),("010","11"),("1100","10")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0001"),("010","11"),("111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0001"),("010","11"),("1110","11")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0001"),("010","11"),("1111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0001"),("010","11"),("1111","11")] => ([0,1,3],[2]) => True
[("0","00"),("00","0001"),("010","11"),("1111","111")] => ([0,1,3],[2]) => True
[("0","00"),("00","0001"),("010","110"),("0111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0001"),("010","110"),("110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0001"),("010","110"),("1100","10")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0001"),("010","110"),("1110","11")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0001"),("010","1100"),("1100","10")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0001"),("010","1101"),("1011","0")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0001"),("010","1101"),("110","1")] => ([0,1,3],[2]) => True
[("0","00"),("00","0001"),("010","1101"),("1110","11")] => ([0,1,3],[2]) => True
[("0","00"),("00","0001"),("010","111"),("11","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0001"),("010","111"),("111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0001"),("010","111"),("111","11")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0001"),("010","111"),("1110","11")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0001"),("010","111"),("1111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0001"),("010","111"),("1111","11")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0001"),("010","1110"),("1110","11")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0001"),("010","1111"),("11","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0001"),("010","1111"),("111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0001"),("010","1111"),("111","11")] => ([0,1,3],[2]) => True
[("0","00"),("00","0001"),("010","1111"),("1111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0001"),("010","1111"),("1111","11")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0001"),("010","1111"),("1111","111")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0001"),("0100","000"),("1100","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0001"),("0100","0001"),("1100","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0001"),("0100","0101"),("1010","01")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0001"),("0100","011"),("1100","10")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0001"),("0100","0110"),("1011","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0001"),("0100","0110"),("110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0001"),("0100","1000"),("1100","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0001"),("0100","101"),("110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0001"),("0100","1010"),("1101","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0001"),("0100","1011"),("110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0001"),("0100","1011"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0001"),("0100","1011"),("1110","11")] => ([0,1,3],[2]) => True
[("0","00"),("00","0001"),("0100","110"),("0111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0001"),("0100","110"),("1100","10")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0001"),("0100","110"),("111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0001"),("0100","110"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0001"),("0100","110"),("1110","11")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0001"),("0100","1100"),("1100","10")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0001"),("0100","1100"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0001"),("0100","1100"),("1110","11")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0001"),("0100","1101"),("110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0001"),("0100","1101"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0001"),("0100","1101"),("1110","11")] => ([0,1,3],[2]) => True
[("0","00"),("00","0001"),("0100","1110"),("1111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0001"),("0101","0"),("1100","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0001"),("0101","0110"),("1100","1")] => ([0,1,3],[2]) => True
[("0","00"),("00","0001"),("0101","1"),("1","01")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0001"),("0101","1"),("1","0110")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0001"),("0101","1"),("1","0111")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0001"),("0101","1"),("1","10")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0001"),("0101","1"),("10","01")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0001"),("0101","1"),("100","01")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0001"),("0101","1"),("1000","01")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0001"),("0101","1"),("1010","01")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0001"),("0101","1"),("1100","0")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0001"),("0101","10"),("100","01")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0001"),("0101","10"),("100","0101")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0001"),("0101","10"),("100","101")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0001"),("0101","10"),("100","1010")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0001"),("0101","10"),("1000","101")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0001"),("0101","10"),("1000","1010")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0001"),("0101","10"),("1100","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0001"),("011","0"),("1100","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0001"),("011","00"),("1100","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0001"),("011","0001"),("1100","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0001"),("011","0011"),("1100","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0001"),("011","0110"),("1100","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0001"),("011","10"),("1100","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0001"),("011","100"),("1100","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0001"),("011","1000"),("1100","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0001"),("011","1001"),("1100","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0001"),("011","110"),("1100","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0001"),("011","1100"),("1100","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0001"),("0110","100"),("1100","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0001"),("0110","1000"),("1100","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0001"),("0110","1001"),("1100","1")] => ([0,1,3],[2]) => True
[("0","00"),("00","0001"),("0110","1100"),("1100","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0001"),("0111","0"),("1100","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0001"),("0111","00"),("1100","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0001"),("0111","000"),("1100","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0001"),("0111","0000"),("1100","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0001"),("0111","0001"),("1100","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0001"),("0111","001"),("1100","1")] => ([0,1,2,3],[]) => False
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[("0","00"),("00","0001"),("100","011"),("110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0001"),("100","011"),("1100","10")] => ([0,1,2,3],[]) => False
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[("0","00"),("00","0001"),("100","1010"),("1010","01")] => ([0,1,2,3],[]) => False
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[("0","00"),("00","0001"),("100","1011"),("1110","11")] => ([0,1,3],[2]) => True
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[("0","00"),("00","0001"),("100","11"),("101","0")] => ([0,1,2,3],[]) => False
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[("0","00"),("00","0001"),("100","11"),("1101","10")] => ([0,1,2,3],[]) => False
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[("0","00"),("00","0001"),("100","110"),("1001","00")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0001"),("100","110"),("1011","01")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0001"),("100","110"),("1100","10")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0001"),("100","110"),("1101","10")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0001"),("100","110"),("111","1")] => ([0,1,2,3],[]) => False
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[("0","00"),("00","0001"),("100","110"),("1110","11")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0001"),("100","1100"),("1100","10")] => ([0,1,2,3],[]) => False
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[("0","00"),("00","0001"),("100","1101"),("1110","11")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0001"),("100","111"),("1110","11")] => ([0,1,2,3],[]) => False
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[("0","00"),("00","0001"),("100","1110"),("1110","11")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0001"),("100","1110"),("1111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0001"),("1000","00"),("1100","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0001"),("1000","001"),("1100","1")] => ([0,1,2,3],[]) => False
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[("0","00"),("00","0001"),("1000","011"),("1011","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0001"),("1000","011"),("1100","10")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0001"),("1000","101"),("1010","0")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0001"),("1000","101"),("1010","01")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0001"),("1000","101"),("1101","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0001"),("1000","101"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0001"),("1000","1011"),("1110","11")] => ([0,1,3],[2]) => True
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[("0","00"),("00","0001"),("1000","110"),("1011","01")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0001"),("1000","110"),("110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0001"),("1000","110"),("1100","10")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0001"),("1000","110"),("1101","10")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0001"),("1000","110"),("111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0001"),("1000","110"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0001"),("1000","110"),("1110","11")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0001"),("1000","110"),("1111","11")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0001"),("1000","1101"),("110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0001"),("1001","0"),("1100","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0001"),("1001","00"),("1100","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0001"),("1001","000"),("1100","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0001"),("1001","0000"),("1100","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0001"),("1001","0001"),("1100","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0001"),("1001","001"),("1100","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0001"),("1001","0011"),("1100","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0001"),("1001","01"),("1100","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0001"),("1001","011"),("1100","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0001"),("1001","0110"),("1100","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0001"),("1001","10"),("1100","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0001"),("1001","100"),("1100","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0001"),("1001","1000"),("1100","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0001"),("1001","110"),("1100","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0001"),("1001","1100"),("1100","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0001"),("101","0"),("1100","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0001"),("101","01"),("1100","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0001"),("101","011"),("1100","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0001"),("101","0110"),("1100","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0001"),("101","10"),("1100","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0001"),("101","110"),("1100","1")] => ([0,1,3],[2]) => True
[("0","00"),("00","0001"),("1010","0"),("1100","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0001"),("1010","10"),("1100","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0001"),("1011","0"),("1100","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0001"),("1011","01"),("1100","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0001"),("1011","011"),("1100","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0001"),("1011","0110"),("1100","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0001"),("1011","10"),("1100","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0001"),("1011","110"),("1100","1")] => ([0,1,3],[2]) => True
[("0","00"),("00","0001"),("11","0"),("1100","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0001"),("11","00"),("1100","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0001"),("11","0000"),("1100","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0001"),("11","0001"),("1100","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0001"),("11","0011"),("1100","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0001"),("11","011"),("1100","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0001"),("11","0110"),("1100","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0001"),("11","10"),("1100","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0001"),("11","100"),("1100","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0001"),("11","1000"),("1100","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0001"),("11","1001"),("1100","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0001"),("11","110"),("1100","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0001"),("11","1100"),("1100","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0001"),("110","011"),("1100","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0001"),("110","1001"),("1100","1")] => ([0,1,3],[2]) => True
[("0","00"),("00","0001"),("110","1100"),("1100","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0001"),("1100","1"),("1101","0")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0001"),("1100","1"),("1101","01")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0001"),("1100","1"),("1101","011")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0001"),("1100","1"),("1101","0110")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0001"),("1100","1"),("1101","10")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0001"),("1100","1"),("1101","110")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0001"),("1100","1"),("111","0")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0001"),("1100","1"),("111","00")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0001"),("1100","1"),("111","000")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0001"),("1100","1"),("111","0000")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0001"),("1100","1"),("111","0001")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0001"),("1100","1"),("111","001")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0001"),("1100","1"),("111","0011")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0001"),("1100","1"),("111","01")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0001"),("1100","1"),("111","011")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0001"),("1100","1"),("111","0110")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0001"),("1100","1"),("111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0001"),("1100","1"),("111","10")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0001"),("1100","1"),("111","100")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0001"),("1100","1"),("111","1000")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0001"),("1100","1"),("111","11")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0001"),("1100","1"),("111","110")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0001"),("1100","1"),("111","1100")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0001"),("1100","1"),("1110","0")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0001"),("1100","1"),("1110","0011")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0001"),("1100","1"),("1110","0110")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0001"),("1100","1"),("1110","1000")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0001"),("1100","1"),("1110","1001")] => ([0,1,2],[3]) => True
[("0","00"),("00","0001"),("1100","1"),("1110","110")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0001"),("1100","1"),("1110","1100")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0001"),("1100","1"),("1111","0")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0001"),("1100","1"),("1111","00")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0001"),("1100","1"),("1111","000")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0001"),("1100","1"),("1111","0000")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0001"),("1100","1"),("1111","0001")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0001"),("1100","1"),("1111","001")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0001"),("1100","1"),("1111","0011")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0001"),("1100","1"),("1111","01")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0001"),("1100","1"),("1111","011")] => ([0,1,2,3],[]) => False
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[("0","00"),("00","0001"),("1100","1"),("1111","1000")] => ([0,1,2,3],[]) => False
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[("0","00"),("00","0001"),("1100","1"),("1111","1100")] => ([0,1,2,3],[]) => False
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[("0","00"),("00","0001"),("1100","111"),("111","1")] => ([0,1,2,3],[]) => False
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[("0","00"),("00","001"),("0001","11"),("1111","1")] => ([0,1,2,3],[]) => False
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[("0","00"),("00","001"),("0001","1101"),("1110","1")] => ([0,1,2,3],[]) => False
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[("0","00"),("00","001"),("001","0"),("1101","1")] => ([0,1,2,3],[]) => False
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[("0","00"),("00","001"),("001","10"),("1011","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","001"),("001","10"),("1101","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","001"),("001","11"),("0110","0")] => ([0,1,2,3],[]) => False
[("0","00"),("00","001"),("0010","011"),("0110","0")] => ([0,1,2,3],[]) => False
[("0","00"),("00","001"),("0010","011"),("0111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","001"),("0010","100"),("0011","01")] => ([0,1,2,3],[]) => False
[("0","00"),("00","001"),("0010","100"),("01","0")] => ([0,1,2,3],[]) => False
[("0","00"),("00","001"),("0010","100"),("0110","01")] => ([0,1,2,3],[]) => False
[("0","00"),("00","001"),("0010","101"),("0111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","001"),("0010","101"),("1010","0")] => ([0,1,2,3],[]) => False
[("0","00"),("00","001"),("0010","1010"),("0101","10")] => ([0,1,2,3],[]) => False
[("0","00"),("00","001"),("0010","1011"),("0111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","001"),("0010","11"),("110","0")] => ([0,1,2,3],[]) => False
[("0","00"),("00","001"),("0010","110"),("0111","01")] => ([0,1,2,3],[]) => False
[("0","00"),("00","001"),("0010","110"),("0111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","001"),("0010","110"),("1100","0")] => ([0,1,2,3],[]) => False
[("0","00"),("00","001"),("0010","111"),("1110","0")] => ([0,1,2,3],[]) => False
[("0","00"),("00","001"),("0010","1111"),("1111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","001"),("0011","0"),("1010","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","001"),("0011","0"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","001"),("0011","01"),("1","110")] => ([0,1,2,3],[]) => False
[("0","00"),("00","001"),("0011","01"),("1","1101")] => ([0,1,2,3],[]) => False
[("0","00"),("00","001"),("0011","01"),("1","1110")] => ([0,1,2,3],[]) => False
[("0","00"),("00","001"),("0011","01"),("10","1100")] => ([0,1,2,3],[]) => False
[("0","00"),("00","001"),("0011","01"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","001"),("0011","10"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","001"),("01","0"),("1010","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","001"),("01","0"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","001"),("01","110"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","001"),("010","11"),("1100","0")] => ([0,1,2,3],[]) => False
[("0","00"),("00","001"),("010","11"),("1111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","001"),("010","11"),("1111","11")] => ([0,1,2,3],[]) => False
[("0","00"),("00","001"),("010","111"),("1111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","001"),("010","111"),("1111","11")] => ([0,1,2,3],[]) => False
[("0","00"),("00","001"),("010","1111"),("111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","001"),("010","1111"),("1111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","001"),("010","1111"),("1111","11")] => ([0,1,2,3],[]) => False
[("0","00"),("00","001"),("0100","0101"),("0101","10")] => ([0,1,2,3],[]) => False
[("0","00"),("00","001"),("0100","011"),("1100","0")] => ([0,1,2,3],[]) => False
[("0","00"),("00","001"),("0100","011"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","001"),("0100","101"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","001"),("0100","11"),("0111","01")] => ([0,1,2,3],[]) => False
[("0","00"),("00","001"),("0100","110"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","001"),("0100","110"),("1111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","001"),("0100","1110"),("111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","001"),("0100","1111"),("1111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","001"),("0101","0"),("1010","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","001"),("0101","0"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","001"),("0101","1"),("1","01")] => ([0,1,2,3],[]) => False
[("0","00"),("00","001"),("0101","1"),("1","0110")] => ([0,1,2,3],[]) => False
[("0","00"),("00","001"),("0101","1"),("1","0111")] => ([0,1,2,3],[]) => False
[("0","00"),("00","001"),("0101","1"),("1001","0")] => ([0,1,2,3],[]) => False
[("0","00"),("00","001"),("0101","1"),("1001","10")] => ([0,1,2,3],[]) => False
[("0","00"),("00","001"),("0101","1"),("1100","0")] => ([0,1,2,3],[]) => False
[("0","00"),("00","001"),("0101","10"),("1","01")] => ([0,1,2,3],[]) => False
[("0","00"),("00","001"),("0101","10"),("1","101")] => ([0,1,2,3],[]) => False
[("0","00"),("00","001"),("0101","10"),("10","1010")] => ([0,1,2,3],[]) => False
[("0","00"),("00","001"),("0101","10"),("100","101")] => ([0,1,2,3],[]) => False
[("0","00"),("00","001"),("0101","10"),("100","1010")] => ([0,1,2,3],[]) => False
[("0","00"),("00","001"),("0101","10"),("1000","01")] => ([0,1,2,3],[]) => False
[("0","00"),("00","001"),("0101","10"),("1000","101")] => ([0,1,2,3],[]) => False
[("0","00"),("00","001"),("0101","10"),("1000","1010")] => ([0,1,2,3],[]) => False
[("0","00"),("00","001"),("0101","10"),("1001","01")] => ([0,1,2,3],[]) => False
[("0","00"),("00","001"),("0101","10"),("1001","101")] => ([0,1,2,3],[]) => False
[("0","00"),("00","001"),("0101","10"),("1010","1")] => ([0,2,3],[1]) => True
[("0","00"),("00","001"),("0101","10"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","001"),("0110","01"),("1001","10")] => ([0,1,2,3],[]) => False
[("0","00"),("00","001"),("0111","1"),("1","110")] => ([0,1,2,3],[]) => False
[("0","00"),("00","001"),("0111","1"),("10","0111")] => ([0,1,2,3],[]) => False
[("0","00"),("00","001"),("0111","1"),("10","1011")] => ([0,1,2,3],[]) => False
[("0","00"),("00","001"),("0111","1"),("100","01")] => ([0,1,2,3],[]) => False
[("0","00"),("00","001"),("0111","1"),("1000","01")] => ([0,1,2,3],[]) => False
[("0","00"),("00","001"),("0111","1"),("1000","0111")] => ([0,1,2,3],[]) => False
[("0","00"),("00","001"),("0111","1"),("1000","101")] => ([0,1,2,3],[]) => False
[("0","00"),("00","001"),("0111","1"),("1000","1011")] => ([0,1,2,3],[]) => False
[("0","00"),("00","001"),("0111","1"),("1001","0")] => ([0,1,2,3],[]) => False
[("0","00"),("00","001"),("0111","1"),("1001","01")] => ([0,1,2,3],[]) => False
[("0","00"),("00","001"),("0111","1"),("1001","10")] => ([0,1,2,3],[]) => False
[("0","00"),("00","001"),("0111","1"),("1001","101")] => ([0,1,2,3],[]) => False
[("0","00"),("00","001"),("0111","1"),("1100","0")] => ([0,1,2,3],[]) => False
[("0","00"),("00","001"),("0111","1"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","001"),("1","01"),("1010","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","001"),("1","0110"),("101","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","001"),("1","0111"),("1001","0")] => ([0,1,2,3],[]) => False
[("0","00"),("00","001"),("1","0111"),("1100","0")] => ([0,1,2,3],[]) => False
[("0","00"),("00","001"),("1","10"),("1101","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","001"),("1","11"),("1001","0")] => ([0,1,2,3],[]) => False
[("0","00"),("00","001"),("1","110"),("1001","0")] => ([0,1,2,3],[]) => False
[("0","00"),("00","001"),("1","110"),("1011","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","001"),("1","110"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","001"),("100","01"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","001"),("1000","01"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","001"),("1000","11"),("1101","0")] => ([0,1,2,3],[]) => False
[("0","00"),("00","001"),("1000","11"),("1111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","001"),("1001","0"),("1001","11")] => ([0,1,2,3],[]) => False
[("0","00"),("00","001"),("1001","0"),("1001","110")] => ([0,1,2],[3]) => True
[("0","00"),("00","001"),("1001","0"),("101","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","001"),("1001","0"),("1010","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","001"),("1001","0"),("1011","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","001"),("1001","0"),("1101","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","001"),("1001","0"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","001"),("1001","01"),("101","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","001"),("1001","01"),("1011","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","001"),("1001","01"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","001"),("1001","010"),("1010","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","001"),("1001","011"),("1011","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","001"),("1001","10"),("1011","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","001"),("1001","10"),("1101","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","001"),("1001","10"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","001"),("1001","101"),("1101","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","001"),("1001","110"),("101","0")] => ([0,1],[2,3]) => True
[("0","00"),("00","001"),("1001","110"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","001"),("1100","0"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","001"),("1100","111"),("1111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0010"),("0000","1010"),("1010","01")] => ([0,2,3],[1]) => True
[("0","00"),("00","0010"),("0000","110"),("1011","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0010"),("0001","00"),("0110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0010"),("0001","000"),("0110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0010"),("0001","000"),("1100","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0010"),("0001","0101"),("1010","01")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0010"),("0001","0110"),("0011","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0010"),("0001","10"),("0111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0010"),("0001","10"),("1010","01")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0010"),("0001","10"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0010"),("0001","100"),("001","0")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0010"),("0001","1000"),("0110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0010"),("0001","101"),("0101","10")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0010"),("0001","101"),("1010","01")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0010"),("0001","11"),("0011","0")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0010"),("0001","11"),("1011","0")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0010"),("0001","11"),("111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0010"),("0001","11"),("1111","11")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0010"),("0001","110"),("0011","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0010"),("0001","110"),("1100","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0010"),("0001","111"),("1111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0010"),("0001","1111"),("111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0010"),("0001","1111"),("1111","11")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0010"),("001","0"),("0011","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0010"),("001","0"),("0110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0010"),("001","0"),("1","1101")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0010"),("001","0"),("1","1110")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0010"),("001","0"),("1100","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0010"),("001","00"),("1100","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0010"),("001","0101"),("1010","01")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0010"),("001","0110"),("0011","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0010"),("001","0110"),("011","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0010"),("001","0110"),("0110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0010"),("001","0110"),("1100","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0010"),("001","10"),("0011","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0010"),("001","10"),("0111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0010"),("001","10"),("1011","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0010"),("001","10"),("1100","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0010"),("001","10"),("1101","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0010"),("001","10"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0010"),("001","110"),("0110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0010"),("001","1110"),("0111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0010"),("001","1110"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0010"),("0010","0"),("0011","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0010"),("0010","0"),("0101","01")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0010"),("0010","0"),("011","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0010"),("0010","0"),("0110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0010"),("0010","0"),("0111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0010"),("0010","0"),("1011","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0010"),("0010","0"),("11","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0010"),("0010","0"),("110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0010"),("0010","0"),("1100","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0010"),("0010","0"),("1101","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0010"),("0010","0"),("111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0010"),("0010","0"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0010"),("0010","0"),("1111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0010"),("0010","00"),("0011","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0010"),("0010","00"),("1100","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0010"),("0010","000"),("0011","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0010"),("0010","000"),("1100","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0010"),("0010","0110"),("0110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0010"),("0010","100"),("01","0")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0010"),("0010","1010"),("0101","10")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0010"),("0010","1011"),("0111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0010"),("0010","11"),("0110","0")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0010"),("0010","110"),("0110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0010"),("0011","01"),("1","1101")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0010"),("0011","01"),("1","1110")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0010"),("0011","1"),("01","0")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0010"),("0011","1"),("01","011")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0010"),("0011","1"),("01","110")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0010"),("0011","1"),("010","0")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0010"),("0011","1"),("010","0110")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0010"),("0011","1"),("010","110")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0010"),("0011","1"),("0100","011")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0010"),("0011","1"),("0100","0110")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0010"),("0011","1"),("0100","110")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0010"),("0011","1"),("1","0110")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0010"),("0011","1"),("1","110")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0010"),("0011","1"),("1","1110")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0010"),("0011","1"),("10","0")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0010"),("0011","1"),("100","00")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0010"),("0011","1"),("1000","000")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0010"),("0011","1"),("1000","01")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0010"),("0011","1"),("1010","01")] => ([0,1,2,3],[]) => False
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[("0","00"),("00","0010"),("01","0"),("1100","1")] => ([0,1,2,3],[]) => False
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[("0","00"),("00","0010"),("01","0011"),("1100","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0010"),("01","1000"),("0110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0010"),("01","110"),("110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0010"),("01","110"),("1100","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0010"),("01","1101"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0010"),("01","111"),("1111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0010"),("01","1111"),("111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0010"),("01","1111"),("1111","11")] => ([0,1,2,3],[]) => False
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[("0","00"),("00","0010"),("010","0"),("1100","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0010"),("010","00"),("0110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0010"),("010","0101"),("0101","10")] => ([0,1,2,3],[]) => False
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[("0","00"),("00","0010"),("010","0110"),("110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0010"),("010","0110"),("1100","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0010"),("010","11"),("0111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0010"),("010","11"),("1111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0010"),("010","110"),("1100","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0010"),("010","111"),("111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0010"),("010","111"),("1111","11")] => ([0,1,3],[2]) => True
[("0","00"),("00","0010"),("010","1110"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0010"),("010","1111"),("1111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0010"),("0100","00"),("0110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0010"),("0100","000"),("0110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0010"),("0100","0001"),("0110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0010"),("0100","0101"),("0101","10")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0010"),("0100","0110"),("1100","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0010"),("0100","1000"),("0110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0010"),("0100","1010"),("1010","01")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0010"),("0100","11"),("1100","0")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0010"),("0100","11"),("111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0010"),("0100","11"),("111","11")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0010"),("0100","11"),("1111","11")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0010"),("0100","11"),("1111","111")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0010"),("0100","110"),("1100","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0010"),("0100","1101"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0010"),("0100","111"),("11","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0010"),("0100","111"),("111","11")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0010"),("0100","111"),("1111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0010"),("0100","111"),("1111","11")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0010"),("0100","111"),("1111","111")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0010"),("0100","1111"),("11","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0010"),("0100","1111"),("111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0010"),("0100","1111"),("111","11")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0010"),("0100","1111"),("1111","11")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0010"),("0100","1111"),("1111","111")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0010"),("0101","0"),("0110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0010"),("0101","01"),("0110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0010"),("0101","01"),("100","0101")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0010"),("0101","10"),("0110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0010"),("0101","10"),("1","1101")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0010"),("0101","10"),("1","1110")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0010"),("0101","10"),("100","01")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0010"),("0101","10"),("100","0101")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0010"),("0101","10"),("100","101")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0010"),("0101","10"),("100","1010")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0010"),("0101","10"),("1000","101")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0010"),("0101","10"),("1100","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0010"),("011","1"),("1","1110")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0010"),("011","1"),("10","011")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0010"),("0110","1"),("1","0")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0010"),("0110","1"),("1","0011")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0010"),("0110","1"),("1","01")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0010"),("0110","1"),("1","1011")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0010"),("0110","1"),("1","110")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0010"),("0110","1"),("1","1101")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0010"),("0110","1"),("10","0")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0010"),("0110","1"),("10","011")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0010"),("0110","1"),("10","0110")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0010"),("0110","1"),("10","110")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0010"),("0110","1"),("100","01")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0010"),("0110","1"),("100","0110")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0010"),("0110","1"),("100","110")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0010"),("0110","1"),("1000","011")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0010"),("0110","1"),("1000","0110")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0010"),("0110","1"),("1000","110")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0010"),("0110","1"),("1001","0")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0010"),("0110","1"),("1001","10")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0010"),("0110","1"),("101","0")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0010"),("0110","1"),("101","01")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0010"),("0110","1"),("101","10")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0010"),("0110","1"),("1010","0")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0010"),("0110","1"),("1010","01")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0010"),("0110","1"),("1011","0")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0010"),("0110","1"),("1011","01")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0010"),("0110","1"),("1011","10")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0010"),("0111","1"),("10","1011")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0010"),("0111","1"),("10","11")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0010"),("0111","1"),("100","01")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0010"),("0111","1"),("100","0111")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0010"),("0111","1"),("1000","01")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0010"),("0111","1"),("1000","11")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0010"),("0111","11"),("1","1110")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0010"),("1","011"),("1100","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0010"),("1","0110"),("1100","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0010"),("1","0111"),("110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0010"),("1","0111"),("1100","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0010"),("1","0111"),("1100","10")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0010"),("1","1011"),("1010","01")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0010"),("1","1011"),("1100","10")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0010"),("10","0"),("1100","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0010"),("100","01"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0010"),("100","011"),("1011","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0010"),("100","0110"),("1100","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0010"),("100","1011"),("1011","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0010"),("100","11"),("111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0010"),("100","11"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0010"),("100","11"),("1111","11")] => ([0,1,3],[2]) => True
[("0","00"),("00","0010"),("100","110"),("110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0010"),("100","111"),("1111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0010"),("100","1110"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0010"),("100","1111"),("1111","11")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0010"),("1000","000"),("1100","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0010"),("1000","01"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0010"),("1000","0101"),("1010","01")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0010"),("1000","011"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0010"),("1001","0"),("1100","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0010"),("1011","1"),("1100","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0011"),("0001","0"),("1001","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0011"),("0001","0"),("1011","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0011"),("0001","0"),("1101","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0011"),("0001","10"),("1001","01")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0011"),("001","0"),("011","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0011"),("001","0"),("1001","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0011"),("001","0"),("1011","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0011"),("001","0"),("1101","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0011"),("001","0010"),("1000","0")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0011"),("001","111"),("1111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0011"),("0010","0"),("0011","01")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0011"),("0010","0"),("1","1010")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0011"),("0010","0"),("1001","01")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0011"),("0010","100"),("0011","01")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0011"),("0011","0"),("0101","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0011"),("0011","0"),("011","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0011"),("0011","0"),("1001","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0011"),("0011","0"),("101","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0011"),("0011","0"),("1010","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0011"),("0011","0"),("1011","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0011"),("0011","0"),("110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0011"),("0011","0"),("1101","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0011"),("0011","00"),("1001","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0011"),("0011","0010"),("1001","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0011"),("0011","01"),("0101","10")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0011"),("0011","01"),("1010","01")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0011"),("0011","01"),("1010","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0011"),("0011","01"),("1011","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0011"),("0011","01"),("110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0011"),("0011","01"),("1101","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0011"),("0011","010"),("0101","10")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0011"),("0011","0100"),("1001","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0011"),("0011","0101"),("1010","01")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0011"),("0011","10"),("0100","0")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0011"),("0011","10"),("0101","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0011"),("0011","10"),("011","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0011"),("0011","10"),("1011","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0011"),("0011","10"),("1101","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0011"),("01","0"),("1001","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0011"),("01","1010"),("011","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0011"),("01","1010"),("1010","10")] => ([0,2,3],[1]) => True
[("0","00"),("00","0011"),("0100","0"),("011","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0011"),("0100","0"),("0110","01")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0011"),("0100","001"),("1100","10")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0011"),("0101","0"),("1001","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0011"),("0101","0"),("110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0011"),("0101","01"),("0110","01")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0011"),("0101","01"),("0110","0101")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0011"),("0101","01"),("110","0101")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0011"),("0101","1"),("0110","01")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0011"),("0101","1"),("1","01")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0011"),("0101","1"),("1","10")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0011"),("0101","1"),("1001","0")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0011"),("0101","1"),("1100","10")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0011"),("0101","10"),("011","0101")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0011"),("0101","10"),("011","1010")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0011"),("0101","10"),("0110","01")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0011"),("0101","10"),("0110","010")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0011"),("0101","10"),("0110","101")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0011"),("0101","10"),("1","01")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0011"),("0101","10"),("1","0101")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0011"),("0101","10"),("1","101")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0011"),("0101","10"),("1001","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0011"),("0101","10"),("11","0101")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0011"),("0101","10"),("11","101")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0011"),("0101","10"),("11","1010")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0011"),("0101","10"),("110","0101")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0011"),("0101","10"),("110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0011"),("0101","10"),("110","101")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0011"),("0101","10"),("1100","01")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0011"),("0101","10"),("1100","0101")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0011"),("0101","10"),("1100","10")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0011"),("0101","10"),("1100","101")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0011"),("0101","10"),("1100","1010")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0011"),("011","0"),("1001","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0011"),("011","0"),("1010","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0011"),("011","0"),("110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0011"),("011","01"),("110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0011"),("011","0101"),("1010","01")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0011"),("011","1"),("0110","10")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0011"),("011","1"),("100","01")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0011"),("011","1"),("1000","01")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0011"),("011","1"),("1001","0")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0011"),("011","1"),("11","1110")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0011"),("011","1"),("1110","01")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0011"),("011","1"),("1110","011")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0011"),("011","10"),("1001","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0011"),("011","1010"),("1010","01")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0011"),("011","1111"),("1111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0011"),("0110","01"),("0110","10")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0011"),("0110","01"),("1001","10")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0011"),("0110","01"),("1101","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0011"),("0110","010"),("1010","01")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0011"),("0110","10"),("100","001")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0011"),("0110","10"),("1000","0")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0011"),("0110","10"),("1001","01")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0011"),("0110","10"),("101","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0011"),("0110","10"),("1010","01")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0011"),("0110","10"),("1010","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0011"),("0110","10"),("1010","10")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0011"),("0110","10"),("1011","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0011"),("0110","10"),("1101","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0011"),("0110","10"),("1111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0011"),("0110","101"),("1010","01")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0011"),("0110","1010"),("1010","10")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0011"),("0110","111"),("1111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0011"),("0110","1111"),("1111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0011"),("0111","0"),("1001","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0011"),("0111","0"),("110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0011"),("0111","0010"),("1001","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0011"),("0111","01"),("1001","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0011"),("0111","01"),("110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0011"),("0111","10"),("110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0011"),("0111","11"),("1","110")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0011"),("1","0"),("1001","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0011"),("1","01"),("1010","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0011"),("1","01"),("1101","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0011"),("1","0100"),("1001","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0011"),("1","011"),("1101","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0011"),("1","0110"),("101","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0011"),("1","0111"),("1001","0")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0011"),("1","10"),("1010","01")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0011"),("1","101"),("1010","01")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0011"),("1","1010"),("1010","01")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0011"),("1","110"),("1011","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0011"),("10","0"),("1001","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0011"),("10","0100"),("1001","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0011"),("10","0101"),("110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0011"),("100","0"),("1001","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0011"),("100","0"),("1101","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0011"),("100","00"),("1001","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0011"),("100","0100"),("1001","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0011"),("100","111"),("1111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0011"),("1000","0"),("1001","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0011"),("1000","0"),("11","0111")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0011"),("1000","0"),("1101","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0011"),("1000","0"),("1101","11")] => ([0,2,3],[1]) => True
[("0","00"),("00","0011"),("1000","01"),("1001","10")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0011"),("1000","0100"),("1001","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0011"),("1001","0"),("1001","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0011"),("1001","0"),("101","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0011"),("1001","0"),("1010","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0011"),("1001","0"),("1011","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0011"),("1001","0"),("11","0111")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0011"),("1001","0"),("110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0011"),("1001","0"),("1101","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0011"),("1001","00"),("1001","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0011"),("1001","001"),("1001","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0011"),("1001","01"),("1001","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0011"),("1001","01"),("1011","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0011"),("1001","01"),("110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0011"),("1001","1"),("1001","10")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0011"),("1001","1"),("1001","100")] => ([0,2,3],[1]) => True
[("0","00"),("00","0011"),("1001","1"),("101","0")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0011"),("1001","1"),("101","01")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0011"),("1001","1"),("101","10")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0011"),("1001","1"),("1010","0")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0011"),("1001","1"),("1010","01")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0011"),("1001","1"),("1011","0")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0011"),("1001","1"),("1011","01")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0011"),("1001","1"),("1011","10")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0011"),("1001","1"),("11","0")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0011"),("1001","1"),("11","00")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0011"),("1001","1"),("11","0010")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0011"),("1001","1"),("11","0100")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0011"),("1001","1"),("11","101")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0011"),("1001","1"),("11","1100")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0011"),("1001","1"),("110","01")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0011"),("1001","1"),("110","10")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0011"),("1001","1"),("1100","0010")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0011"),("1001","1"),("1100","0100")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0011"),("1001","1"),("1100","10")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0011"),("1001","1"),("1101","0")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0011"),("1001","1"),("1101","10")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0011"),("1001","1"),("111","0")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0011"),("1001","1"),("111","00")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0011"),("1001","1"),("111","01")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0011"),("1001","1"),("111","10")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0011"),("1001","1"),("1110","0")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0011"),("1001","1"),("1110","0100")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0011"),("1001","1"),("1111","0")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0011"),("1001","1"),("1111","00")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0011"),("1001","1"),("1111","01")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0011"),("1001","1"),("1111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0011"),("1001","1"),("1111","10")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0011"),("1001","1"),("1111","101")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0011"),("1001","10"),("110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0011"),("1001","10"),("1101","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0011"),("1001","11"),("1111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0011"),("1001","110"),("110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0011"),("1001","111"),("1111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0011"),("1001","1111"),("1111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0011"),("101","1"),("1100","01")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0011"),("1010","01"),("11","0101")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0011"),("1010","01"),("11","1010")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0011"),("1010","01"),("110","1010")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0011"),("1010","01"),("1100","01")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0011"),("1010","01"),("1100","010")] => ([0,1,2],[3]) => True
[("0","00"),("00","0011"),("1010","01"),("1100","10")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0011"),("1010","01"),("1100","1010")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0011"),("1010","1"),("1100","01")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0011"),("1010","10"),("110","1010")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0011"),("1011","1"),("1100","01")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0011"),("1011","1"),("1100","10")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0011"),("11","0111"),("110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0011"),("11","0111"),("1100","10")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0011"),("11","0111"),("1110","11")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0011"),("110","1"),("1100","10")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0011"),("110","1111"),("1111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0011"),("1100","01"),("1101","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0011"),("1100","10"),("1101","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","01"),("00","1011"),("0111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","01"),("00","1011"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","01"),("000","001"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","01"),("000","01"),("0111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","01"),("000","01"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","01"),("000","1011"),("0111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","01"),("000","1011"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","01"),("0000","0001"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","01"),("0000","001"),("0111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","01"),("0000","001"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","01"),("0000","01"),("0111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","01"),("0000","01"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","01"),("0000","1001"),("0101","10")] => ([0,1,2,3],[]) => False
[("0","00"),("00","01"),("0000","101"),("0111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","01"),("0000","101"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","01"),("0000","1011"),("0111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","01"),("0000","1011"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","01"),("0001","000"),("0111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","01"),("0001","000"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","01"),("0001","0000"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","01"),("0001","0011"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","01"),("0001","010"),("0111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","01"),("0001","011"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","01"),("0001","0110"),("0011","0")] => ([0,1,2,3],[]) => False
[("0","00"),("00","01"),("0001","100"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","01"),("0001","101"),("0111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","01"),("0001","101"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","01"),("0001","1011"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","01"),("0001","110"),("011","0")] => ([0,1,2,3],[]) => False
[("0","00"),("00","01"),("0001","110"),("111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","01"),("0001","110"),("1111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","01"),("0001","1100"),("0110","0")] => ([0,1,2,3],[]) => False
[("0","00"),("00","01"),("0001","1100"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","01"),("0001","1101"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","01"),("0001","111"),("0111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","01"),("0001","1110"),("0111","0")] => ([0,1,2,3],[]) => False
[("0","00"),("00","01"),("0001","1110"),("111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","01"),("0001","1110"),("1111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","01"),("0001","1111"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","01"),("001","00"),("0111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","01"),("001","00"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","01"),("001","000"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","01"),("001","0000"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","01"),("001","011"),("0011","0")] => ([0,1,2,3],[]) => False
[("0","00"),("00","01"),("001","10"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","01"),("001","1000"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","01"),("001","101"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","01"),("001","1011"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","01"),("001","11"),("1011","0")] => ([0,1,2,3],[]) => False
[("0","00"),("00","01"),("001","11"),("1011","10")] => ([0,1,2,3],[]) => False
[("0","00"),("00","01"),("001","110"),("0110","0")] => ([0,1,2,3],[]) => False
[("0","00"),("00","01"),("001","110"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","01"),("001","1100"),("0111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","01"),("001","1101"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","01"),("001","111"),("0111","0")] => ([0,1,2,3],[]) => False
[("0","00"),("00","01"),("001","111"),("0111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","01"),("001","1110"),("0111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","01"),("001","1111"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","01"),("0010","00"),("0111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","01"),("0010","00"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","01"),("0010","000"),("0111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","01"),("0010","000"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","01"),("0010","0000"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","01"),("0010","0001"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","01"),("0010","0011"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","01"),("0010","011"),("0111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","01"),("0010","1000"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","01"),("0010","101"),("0111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","01"),("0010","101"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","01"),("0010","1011"),("0111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","01"),("0010","11"),("1011","0")] => ([0,1,2,3],[]) => False
[("0","00"),("00","01"),("0010","11"),("1011","10")] => ([0,1,2,3],[]) => False
[("0","00"),("00","01"),("0010","11"),("1111","11")] => ([0,1,2,3],[]) => False
[("0","00"),("00","01"),("0010","1100"),("111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","01"),("0010","1101"),("0111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","01"),("0010","111"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","01"),("0010","1111"),("1111","11")] => ([0,1,2,3],[]) => False
[("0","00"),("00","01"),("0011","0"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","01"),("0011","00"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","01"),("0011","000"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","01"),("0011","0000"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","01"),("0011","0001"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","01"),("0011","001"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","01"),("0011","01"),("1","1101")] => ([0,1,2,3],[]) => False
[("0","00"),("00","01"),("0011","01"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","01"),("0011","0111"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","01"),("0011","10"),("1010","10")] => ([0,1,2,3],[]) => False
[("0","00"),("00","01"),("0011","10"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","01"),("0011","100"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","01"),("0011","1000"),("1110","1")] => ([0,1,2,3],[]) => False
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[("0","00"),("00","01"),("0011","1100"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","01"),("0011","1101"),("1110","1")] => ([0,1,2,3],[]) => False
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[("0","00"),("00","01"),("01","1101"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","01"),("01","111"),("0111","1")] => ([0,1,2,3],[]) => False
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[("0","00"),("00","01"),("010","1100"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","01"),("010","111"),("1110","0")] => ([0,1,2,3],[]) => False
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[("0","00"),("00","01"),("010","1110"),("111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","01"),("010","1110"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","01"),("010","1110"),("1111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","01"),("0100","000"),("0111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","01"),("0100","000"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","01"),("0100","0000"),("1110","1")] => ([0,1,2,3],[]) => False
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[("0","00"),("00","01"),("0100","0011"),("0110","0")] => ([0,1,2,3],[]) => False
[("0","00"),("00","01"),("0100","011"),("110","0")] => ([0,1,2,3],[]) => False
[("0","00"),("00","01"),("0100","011"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","01"),("0100","0110"),("1100","0")] => ([0,1,2,3],[]) => False
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[("0","00"),("00","01"),("0100","1000"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","01"),("0100","101"),("1110","1")] => ([0,1,2,3],[]) => False
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[("0","00"),("00","01"),("0100","110"),("111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","01"),("0100","110"),("1111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","01"),("0100","1101"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","01"),("0100","111"),("0111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","01"),("0100","1110"),("1111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","01"),("0101","0"),("0111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","01"),("0101","0"),("1","110")] => ([0,1,2,3],[]) => False
[("0","00"),("00","01"),("0101","0"),("1011","11")] => ([0,1,2,3],[]) => False
[("0","00"),("00","01"),("0101","0"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","01"),("0101","00"),("0111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","01"),("0101","00"),("1110","1")] => ([0,1,2,3],[]) => False
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[("0","00"),("00","01"),("0101","0000"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","01"),("0101","0001"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","01"),("0101","001"),("0111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","01"),("0101","001"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","01"),("0101","0011"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","01"),("0101","011"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","01"),("0101","10"),("011","0011")] => ([0,1,2,3],[]) => False
[("0","00"),("00","01"),("0101","10"),("0110","0011")] => ([0,1,2,3],[]) => False
[("0","00"),("00","01"),("0101","10"),("0110","1010")] => ([0,1,2,3],[]) => False
[("0","00"),("00","01"),("0101","10"),("0111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","01"),("0101","10"),("1","0011")] => ([0,1,2,3],[]) => False
[("0","00"),("00","01"),("0101","10"),("1","011")] => ([0,1,2,3],[]) => False
[("0","00"),("00","01"),("0101","10"),("1","1100")] => ([0,1,2,3],[]) => False
[("0","00"),("00","01"),("0101","10"),("1","111")] => ([0,1,2,3],[]) => False
[("0","00"),("00","01"),("0101","10"),("1","1110")] => ([0,1,2,3],[]) => False
[("0","00"),("00","01"),("0101","10"),("1","1111")] => ([0,1,2,3],[]) => False
[("0","00"),("00","01"),("0101","10"),("10","100")] => ([0,1,2,3],[]) => False
[("0","00"),("00","01"),("0101","10"),("10","1010")] => ([0,1,2,3],[]) => False
[("0","00"),("00","01"),("0101","10"),("10","1100")] => ([0,1,2,3],[]) => False
[("0","00"),("00","01"),("0101","10"),("100","1010")] => ([0,1,2,3],[]) => False
[("0","00"),("00","01"),("0101","10"),("1000","011")] => ([0,1,2,3],[]) => False
[("0","00"),("00","01"),("0101","10"),("1000","1010")] => ([0,1,2,3],[]) => False
[("0","00"),("00","01"),("0101","10"),("101","001")] => ([0,1,2,3],[]) => False
[("0","00"),("00","01"),("0101","10"),("1010","011")] => ([0,1,2,3],[]) => False
[("0","00"),("00","01"),("0101","10"),("1011","0111")] => ([0,1,2,3],[]) => False
[("0","00"),("00","01"),("0101","10"),("1011","111")] => ([0,1,2],[3]) => True
[("0","00"),("00","01"),("0101","10"),("1011","1110")] => ([0,1,2],[3]) => True
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[("0","00"),("00","01"),("0101","10"),("11","011")] => ([0,1,2,3],[]) => False
[("0","00"),("00","01"),("0101","10"),("11","0111")] => ([0,1,2,3],[]) => False
[("0","00"),("00","01"),("0101","10"),("11","10")] => ([0,1,2,3],[]) => False
[("0","00"),("00","01"),("0101","10"),("11","101")] => ([0,1,2,3],[]) => False
[("0","00"),("00","01"),("0101","10"),("11","1011")] => ([0,1,2,3],[]) => False
[("0","00"),("00","01"),("0101","10"),("11","1110")] => ([0,1,2,3],[]) => False
[("0","00"),("00","01"),("0101","10"),("11","1111")] => ([0,1,2,3],[]) => False
[("0","00"),("00","01"),("0101","10"),("110","0010")] => ([0,1,2,3],[]) => False
[("0","00"),("00","01"),("0101","10"),("110","0011")] => ([0,1,2,3],[]) => False
[("0","00"),("00","01"),("0101","10"),("110","010")] => ([0,1,2,3],[]) => False
[("0","00"),("00","01"),("0101","10"),("110","011")] => ([0,1,2,3],[]) => False
[("0","00"),("00","01"),("0101","10"),("110","0110")] => ([0,1,2,3],[]) => False
[("0","00"),("00","01"),("0101","10"),("110","101")] => ([0,1,2,3],[]) => False
[("0","00"),("00","01"),("0101","10"),("110","1010")] => ([0,1,2,3],[]) => False
[("0","00"),("00","01"),("0101","10"),("1100","0010")] => ([0,1,2,3],[]) => False
[("0","00"),("00","01"),("0101","10"),("1100","0011")] => ([0,1,2,3],[]) => False
[("0","00"),("00","01"),("0101","10"),("1100","010")] => ([0,1,2,3],[]) => False
[("0","00"),("00","01"),("0101","10"),("1100","011")] => ([0,1,2,3],[]) => False
[("0","00"),("00","01"),("0101","10"),("1100","0110")] => ([0,1,2,3],[]) => False
[("0","00"),("00","01"),("0101","10"),("1100","0111")] => ([0,1,2,3],[]) => False
[("0","00"),("00","01"),("0101","10"),("1100","101")] => ([0,1,2,3],[]) => False
[("0","00"),("00","01"),("0101","10"),("1100","1010")] => ([0,1,2,3],[]) => False
[("0","00"),("00","01"),("0101","10"),("1101","0011")] => ([0,1,2,3],[]) => False
[("0","00"),("00","01"),("0101","10"),("1101","011")] => ([0,1,2,3],[]) => False
[("0","00"),("00","01"),("0101","10"),("1101","0111")] => ([0,1,2,3],[]) => False
[("0","00"),("00","01"),("0101","10"),("1101","1011")] => ([0,1,2,3],[]) => False
[("0","00"),("00","01"),("0101","10"),("1101","110")] => ([0,1,2,3],[]) => False
[("0","00"),("00","01"),("0101","10"),("1101","1110")] => ([0,1,2,3],[]) => False
[("0","00"),("00","01"),("0101","10"),("111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","01"),("0101","10"),("1111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","01"),("0101","100"),("0111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","01"),("0101","100"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","01"),("0101","1000"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","01"),("0101","1011"),("0111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","01"),("0101","1011"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","01"),("0101","11"),("0110","0")] => ([0,1,2,3],[]) => False
[("0","00"),("00","01"),("0101","11"),("1110","0")] => ([0,1,2,3],[]) => False
[("0","00"),("00","01"),("0101","110"),("111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","01"),("0101","110"),("1111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","01"),("0101","1100"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","01"),("0101","1101"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","01"),("0101","111"),("0111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","01"),("0101","1110"),("111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","01"),("0101","1110"),("1111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","01"),("0101","1111"),("1110","1")] => ([0,1,3],[2]) => True
[("0","00"),("00","01"),("011","0"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","01"),("011","00"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","01"),("011","000"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","01"),("011","0000"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","01"),("011","0001"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","01"),("011","001"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","01"),("011","0011"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","01"),("011","01"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","01"),("011","10"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","01"),("011","100"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","01"),("011","1000"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","01"),("011","1001"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","01"),("011","101"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","01"),("011","1011"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","01"),("011","110"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","01"),("011","1100"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","01"),("011","1101"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","01"),("011","1110"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","01"),("0110","0"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","01"),("0110","00"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","01"),("0110","0001"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","01"),("0110","0011"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","01"),("0110","0111"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","01"),("0110","100"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","01"),("0110","1000"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","01"),("0110","101"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","01"),("0110","1100"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","01"),("0110","1101"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","01"),("0110","111"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","01"),("0110","1110"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","01"),("0111","0"),("101","11")] => ([0,1,2,3],[]) => False
[("0","00"),("00","01"),("0111","0"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","01"),("0111","00"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","01"),("0111","000"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","01"),("0111","0000"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","01"),("0111","0001"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","01"),("0111","001"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","01"),("0111","0011"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","01"),("0111","01"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","01"),("0111","011"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","01"),("0111","1"),("1","1100")] => ([0,1,2,3],[]) => False
[("0","00"),("00","01"),("0111","1"),("1","1111")] => ([0,1,2,3],[]) => False
[("0","00"),("00","01"),("0111","1"),("10","1011")] => ([0,1,2,3],[]) => False
[("0","00"),("00","01"),("0111","1"),("10","1100")] => ([0,1,2,3],[]) => False
[("0","00"),("00","01"),("0111","1"),("10","1101")] => ([0,1,2,3],[]) => False
[("0","00"),("00","01"),("0111","1"),("10","1111")] => ([0,1,2,3],[]) => False
[("0","00"),("00","01"),("0111","1"),("100","01")] => ([0,1,2,3],[]) => False
[("0","00"),("00","01"),("0111","1"),("100","1011")] => ([0,1,2,3],[]) => False
[("0","00"),("00","01"),("0111","1"),("100","1111")] => ([0,1,2,3],[]) => False
[("0","00"),("00","01"),("0111","1"),("1000","001")] => ([0,1,2,3],[]) => False
[("0","00"),("00","01"),("0111","1"),("1000","01")] => ([0,1,2,3],[]) => False
[("0","00"),("00","01"),("0111","1"),("1000","011")] => ([0,1,2,3],[]) => False
[("0","00"),("00","01"),("0111","1"),("1000","101")] => ([0,1,2,3],[]) => False
[("0","00"),("00","01"),("0111","1"),("1000","1011")] => ([0,1,2,3],[]) => False
[("0","00"),("00","01"),("0111","1"),("1000","1101")] => ([0,1,2,3],[]) => False
[("0","00"),("00","01"),("0111","1"),("1000","1111")] => ([0,1,2,3],[]) => False
[("0","00"),("00","01"),("0111","1"),("101","0")] => ([0,1,2,3],[]) => False
[("0","00"),("00","01"),("0111","1"),("101","00")] => ([0,1,2,3],[]) => False
[("0","00"),("00","01"),("0111","1"),("101","10")] => ([0,1,2,3],[]) => False
[("0","00"),("00","01"),("0111","1"),("101","1011")] => ([0,1,2,3],[]) => False
[("0","00"),("00","01"),("0111","1"),("101","1100")] => ([0,1,2,3],[]) => False
[("0","00"),("00","01"),("0111","1"),("101","1111")] => ([0,1,2,3],[]) => False
[("0","00"),("00","01"),("0111","1"),("1010","00")] => ([0,1,2,3],[]) => False
[("0","00"),("00","01"),("0111","1"),("1010","000")] => ([0,1,2,3],[]) => False
[("0","00"),("00","01"),("0111","1"),("1010","001")] => ([0,1,2,3],[]) => False
[("0","00"),("00","01"),("0111","1"),("1010","011")] => ([0,1,2,3],[]) => False
[("0","00"),("00","01"),("0111","1"),("1010","10")] => ([0,1,2,3],[]) => False
[("0","00"),("00","01"),("0111","1"),("1010","100")] => ([0,1,2,3],[]) => False
[("0","00"),("00","01"),("0111","1"),("1010","1011")] => ([0,1,2,3],[]) => False
[("0","00"),("00","01"),("0111","1"),("1010","1100")] => ([0,1,2,3],[]) => False
[("0","00"),("00","01"),("0111","1"),("1010","1111")] => ([0,1,2,3],[]) => False
[("0","00"),("00","01"),("0111","1"),("11","1110")] => ([0,1,2,3],[]) => False
[("0","00"),("00","01"),("0111","1"),("1100","0")] => ([0,1,2,3],[]) => False
[("0","00"),("00","01"),("0111","1"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","01"),("0111","10"),("1110","1")] => ([0,1,2,3],[]) => False
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[("0","00"),("00","01"),("100","0000"),("1110","1")] => ([0,1,2,3],[]) => False
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[("0","00"),("00","01"),("100","011"),("1100","0")] => ([0,1,2,3],[]) => False
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[("0","00"),("00","01"),("1001","00"),("1110","1")] => ([0,1,2,3],[]) => False
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[("0","00"),("00","01"),("1001","011"),("1110","1")] => ([0,1,2,3],[]) => False
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[("0","00"),("00","01"),("1001","1000"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","01"),("1001","101"),("1110","1")] => ([0,1,2,3],[]) => False
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[("0","00"),("00","01"),("1001","1100"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","01"),("1001","1101"),("1110","1")] => ([0,1,2,3],[]) => False
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[("0","00"),("00","01"),("101","001"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","01"),("101","0011"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","01"),("101","011"),("1110","1")] => ([0,1,2,3],[]) => False
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[("0","00"),("00","01"),("101","1000"),("1110","1")] => ([0,1,2,3],[]) => False
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[("0","00"),("00","01"),("101","11"),("1011","10")] => ([0,1,2,3],[]) => False
[("0","00"),("00","01"),("101","110"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","01"),("101","1111"),("1110","1")] => ([0,1,3],[2]) => True
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[("0","00"),("00","01"),("1010","000"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","01"),("1010","0000"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","01"),("1010","0001"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","01"),("1010","001"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","01"),("1010","0011"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","01"),("1010","10"),("1011","10")] => ([0,1,2,3],[]) => False
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[("0","00"),("00","01"),("1010","10"),("11","10")] => ([0,1,2,3],[]) => False
[("0","00"),("00","01"),("1010","10"),("11","1010")] => ([0,1,2,3],[]) => False
[("0","00"),("00","01"),("1010","10"),("1100","1010")] => ([0,1,2,3],[]) => False
[("0","00"),("00","01"),("1010","10"),("1101","10")] => ([0,1,2,3],[]) => False
[("0","00"),("00","01"),("1010","10"),("1101","1010")] => ([0,1,2,3],[]) => False
[("0","00"),("00","01"),("1010","10"),("111","1")] => ([0,1,2,3],[]) => False
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[("0","00"),("00","01"),("1010","10"),("1111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","01"),("1010","100"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","01"),("1010","1000"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","01"),("1010","1011"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","01"),("1010","11"),("1100","0")] => ([0,1,2,3],[]) => False
[("0","00"),("00","01"),("1010","11"),("1101","0")] => ([0,1,2,3],[]) => False
[("0","00"),("00","01"),("1010","111"),("1110","1")] => ([0,1,2,3],[]) => False
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[("0","00"),("00","01"),("1011","00"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","01"),("1011","000"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","01"),("1011","0000"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","01"),("1011","0001"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","01"),("1011","001"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","01"),("1011","0011"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","01"),("1011","01"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","01"),("1011","0111"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","01"),("1011","10"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","01"),("1011","100"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","01"),("1011","1000"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","01"),("1011","101"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","01"),("1011","1010"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","01"),("1011","11"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","01"),("1011","110"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","01"),("1011","1100"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","01"),("1011","1101"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","01"),("1011","1110"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","01"),("11","0"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","01"),("11","00"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","01"),("11","000"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","01"),("11","0000"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","01"),("11","0001"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","01"),("11","001"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","01"),("11","0011"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","01"),("11","01"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","01"),("11","011"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","01"),("11","0111"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","01"),("11","10"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","01"),("11","100"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","01"),("11","1000"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","01"),("11","101"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","01"),("11","110"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","01"),("11","1100"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","01"),("11","1101"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","01"),("11","1110"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","01"),("110","0"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","01"),("110","00"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","01"),("110","000"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","01"),("110","001"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","01"),("110","0011"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","01"),("110","01"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","01"),("110","011"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","01"),("110","0111"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","01"),("110","100"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","01"),("110","1000"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","01"),("110","1100"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","01"),("110","1101"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","01"),("110","111"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","01"),("110","111"),("1111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","01"),("110","1110"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","01"),("1100","0"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","01"),("1100","000"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","01"),("1100","001"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","01"),("1100","0011"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","01"),("1100","01"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","01"),("1100","011"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","01"),("1100","0111"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","01"),("1100","1000"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","01"),("1100","101"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","01"),("1100","111"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","01"),("1100","111"),("1111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","01"),("1100","1110"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","01"),("1101","0"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","01"),("1101","00"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","01"),("1101","000"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","01"),("1101","001"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","01"),("1101","0011"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","01"),("1101","01"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","01"),("1101","011"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","01"),("1101","0111"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","01"),("1101","10"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","01"),("1101","100"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","01"),("1101","1000"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","01"),("1101","110"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","01"),("1101","1100"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","01"),("1101","111"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","01"),("1101","111"),("1111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","01"),("1101","1110"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","01"),("111","0"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","01"),("111","00"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","01"),("111","000"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","01"),("111","0000"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","01"),("111","0001"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","01"),("111","001"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","01"),("111","0011"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","01"),("111","01"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","01"),("111","011"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","01"),("111","0111"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","01"),("111","1"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","01"),("111","100"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","01"),("111","1000"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","01"),("111","101"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","01"),("111","1011"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","01"),("111","110"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","01"),("111","1100"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","01"),("111","1101"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","01"),("111","1110"),("1110","1")] => ([0,1,2,3],[]) => False
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[("0","00"),("00","01"),("1110","0000"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","01"),("1110","1"),("1111","0")] => ([0,1,2,3],[]) => False
[("0","00"),("00","01"),("1110","1"),("1111","000")] => ([0,1,2,3],[]) => False
[("0","00"),("00","01"),("1110","1"),("1111","001")] => ([0,1,2,3],[]) => False
[("0","00"),("00","01"),("1110","1"),("1111","0011")] => ([0,1,2,3],[]) => False
[("0","00"),("00","01"),("1110","1"),("1111","011")] => ([0,1,2,3],[]) => False
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[("0","00"),("00","01"),("1110","1"),("1111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","01"),("1110","1"),("1111","10")] => ([0,1,2,3],[]) => False
[("0","00"),("00","01"),("1110","1"),("1111","100")] => ([0,1,2,3],[]) => False
[("0","00"),("00","01"),("1110","1"),("1111","101")] => ([0,1,2,3],[]) => False
[("0","00"),("00","01"),("1110","1"),("1111","1011")] => ([0,1,2,3],[]) => False
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[("0","00"),("00","01"),("1110","1"),("1111","110")] => ([0,1,2,3],[]) => False
[("0","00"),("00","01"),("1110","1"),("1111","1100")] => ([0,1,2,3],[]) => False
[("0","00"),("00","01"),("1110","1"),("1111","1101")] => ([0,1,2,3],[]) => False
[("0","00"),("00","01"),("1110","1"),("1111","1110")] => ([0,1,2,3],[]) => False
[("0","00"),("00","01"),("1110","1111"),("1111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","010"),("0000","1001"),("0101","10")] => ([0,1,2,3],[]) => False
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[("0","00"),("00","010"),("0001","000"),("1100","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","010"),("0001","0101"),("1010","01")] => ([0,1,2,3],[]) => False
[("0","00"),("00","010"),("0001","011"),("0111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","010"),("0001","011"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","010"),("0001","10"),("0111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","010"),("0001","10"),("1100","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","010"),("0001","10"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","010"),("0001","100"),("1010","01")] => ([0,1,2,3],[]) => False
[("0","00"),("00","010"),("0001","101"),("0111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","010"),("0001","11"),("1101","01")] => ([0,1,2,3],[]) => False
[("0","00"),("00","010"),("0001","11"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","010"),("0001","110"),("0011","0")] => ([0,1,2,3],[]) => False
[("0","00"),("00","010"),("0001","110"),("0110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","010"),("0001","110"),("0111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","010"),("0001","110"),("1010","01")] => ([0,1,3],[2]) => True
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[("0","00"),("00","010"),("0001","1101"),("1101","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","010"),("0001","1110"),("0111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","010"),("001","00"),("0110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","010"),("001","00"),("1100","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","010"),("001","000"),("0110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","010"),("001","0001"),("0101","10")] => ([0,1,2,3],[]) => False
[("0","00"),("00","010"),("001","011"),("0011","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","010"),("001","011"),("1011","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","010"),("001","0110"),("0011","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","010"),("001","0111"),("0111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","010"),("001","10"),("0110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","010"),("001","10"),("0111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","010"),("001","10"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","010"),("001","1000"),("0110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","010"),("001","101"),("1011","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","010"),("001","101"),("1101","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","010"),("001","1010"),("1010","01")] => ([0,1,2,3],[]) => False
[("0","00"),("00","010"),("001","11"),("0011","0")] => ([0,1,2,3],[]) => False
[("0","00"),("00","010"),("001","11"),("1111","11")] => ([0,1,2,3],[]) => False
[("0","00"),("00","010"),("001","110"),("0011","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","010"),("001","110"),("1100","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","010"),("001","1111"),("1111","11")] => ([0,1,2,3],[]) => False
[("0","00"),("00","010"),("0010","000"),("0011","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","010"),("0010","000"),("1100","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","010"),("0010","0001"),("0110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","010"),("0010","011"),("0011","0")] => ([0,1,2,3],[]) => False
[("0","00"),("00","010"),("0010","011"),("1011","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","010"),("0010","011"),("1101","01")] => ([0,1,2,3],[]) => False
[("0","00"),("00","010"),("0010","011"),("1101","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","010"),("0010","011"),("111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","010"),("0010","101"),("0101","0")] => ([0,1,2,3],[]) => False
[("0","00"),("00","010"),("0010","101"),("0111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","010"),("0010","101"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","010"),("0010","1010"),("1010","01")] => ([0,1,2,3],[]) => False
[("0","00"),("00","010"),("0010","1011"),("0111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","010"),("0010","11"),("011","0")] => ([0,1,2,3],[]) => False
[("0","00"),("00","010"),("0010","11"),("1011","10")] => ([0,1,2,3],[]) => False
[("0","00"),("00","010"),("0010","11"),("1111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","010"),("0010","110"),("0110","0")] => ([0,1,2,3],[]) => False
[("0","00"),("00","010"),("0010","110"),("1011","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","010"),("0010","110"),("1100","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","010"),("0010","110"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","010"),("0010","111"),("0111","0")] => ([0,1,2,3],[]) => False
[("0","00"),("00","010"),("0010","111"),("1111","11")] => ([0,1,3],[2]) => True
[("0","00"),("00","010"),("0010","1110"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","010"),("0011","0"),("1101","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","010"),("0011","01"),("1","1110")] => ([0,1,2,3],[]) => False
[("0","00"),("00","010"),("0011","01"),("1101","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","010"),("0011","1"),("01","0")] => ([0,1,2,3],[]) => False
[("0","00"),("00","010"),("0011","1"),("01","011")] => ([0,1,2,3],[]) => False
[("0","00"),("00","010"),("0011","1"),("010","0")] => ([0,1,2,3],[]) => False
[("0","00"),("00","010"),("0011","1"),("010","00")] => ([0,1,2,3],[]) => False
[("0","00"),("00","010"),("0011","1"),("1","011")] => ([0,1,2,3],[]) => False
[("0","00"),("00","010"),("0011","1"),("1","0110")] => ([0,1,2,3],[]) => False
[("0","00"),("00","010"),("0011","1"),("1","110")] => ([0,1,2,3],[]) => False
[("0","00"),("00","010"),("0011","1"),("1","1110")] => ([0,1,2,3],[]) => False
[("0","00"),("00","010"),("0011","1"),("10","0")] => ([0,1,2,3],[]) => False
[("0","00"),("00","010"),("0011","1"),("1001","0")] => ([0,1,2,3],[]) => False
[("0","00"),("00","010"),("0011","1"),("1001","00")] => ([0,1,2,3],[]) => False
[("0","00"),("00","010"),("0011","1"),("1001","000")] => ([0,1,2,3],[]) => False
[("0","00"),("00","010"),("0011","1"),("1001","001")] => ([0,1,2,3],[]) => False
[("0","00"),("00","010"),("0011","1"),("1001","011")] => ([0,1,2,3],[]) => False
[("0","00"),("00","010"),("0011","1"),("1001","0110")] => ([0,1,2,3],[]) => False
[("0","00"),("00","010"),("0011","1"),("1010","01")] => ([0,1,2,3],[]) => False
[("0","00"),("00","010"),("01","0"),("0110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","010"),("01","0"),("0111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","010"),("01","0"),("1101","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","010"),("01","0"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","010"),("01","0001"),("0101","10")] => ([0,1,2,3],[]) => False
[("0","00"),("00","010"),("01","001"),("0101","10")] => ([0,1,2,3],[]) => False
[("0","00"),("00","010"),("01","001"),("1010","01")] => ([0,1,2,3],[]) => False
[("0","00"),("00","010"),("01","0011"),("110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","010"),("01","0101"),("0101","10")] => ([0,1,2,3],[]) => False
[("0","00"),("00","010"),("01","0101"),("1010","01")] => ([0,1,2,3],[]) => False
[("0","00"),("00","010"),("01","0111"),("0111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","010"),("01","10"),("1010","01")] => ([0,1,2,3],[]) => False
[("0","00"),("00","010"),("01","11"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","010"),("01","110"),("0110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","010"),("01","1101"),("1101","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","010"),("01","1101"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","010"),("01","1110"),("0111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","010"),("010","0"),("0110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","010"),("010","0"),("0111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","010"),("010","0"),("1001","101")] => ([0,1,2,3],[]) => False
[("0","00"),("00","010"),("010","0"),("1011","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","010"),("010","0"),("1111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","010"),("010","00"),("0110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","010"),("010","001"),("0101","10")] => ([0,1,2,3],[]) => False
[("0","00"),("00","010"),("010","011"),("0110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","010"),("010","0110"),("0110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","010"),("010","11"),("0110","0")] => ([0,1,2,3],[]) => False
[("0","00"),("00","010"),("0101","0"),("0110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","010"),("0101","00"),("0110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","010"),("0101","000"),("0110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","010"),("0101","0001"),("0110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","010"),("0101","011"),("0110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","010"),("0101","0110"),("0110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","010"),("0101","10"),("0110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","010"),("0101","10"),("1","0001")] => ([0,1,2,3],[]) => False
[("0","00"),("00","010"),("0101","10"),("1","001")] => ([0,1,2,3],[]) => False
[("0","00"),("00","010"),("0101","10"),("1","01")] => ([0,1,2,3],[]) => False
[("0","00"),("00","010"),("0101","10"),("1","1001")] => ([0,1,2,3],[]) => False
[("0","00"),("00","010"),("0101","10"),("1","1101")] => ([0,1,2,3],[]) => False
[("0","00"),("00","010"),("0101","10"),("1","1110")] => ([0,1,2,3],[]) => False
[("0","00"),("00","010"),("0101","10"),("1","1111")] => ([0,1,2,3],[]) => False
[("0","00"),("00","010"),("0101","10"),("1001","0001")] => ([0,1,2,3],[]) => False
[("0","00"),("00","010"),("0101","10"),("1001","001")] => ([0,1,2,3],[]) => False
[("0","00"),("00","010"),("0101","10"),("1001","0101")] => ([0,1,2,3],[]) => False
[("0","00"),("00","010"),("0101","10"),("1001","011")] => ([0,1,2,3],[]) => False
[("0","00"),("00","010"),("0101","10"),("1001","1011")] => ([0,1,2,3],[]) => False
[("0","00"),("00","010"),("0101","10"),("1001","11")] => ([0,1,2,3],[]) => False
[("0","00"),("00","010"),("0101","10"),("1001","1100")] => ([0,1,2,3],[]) => False
[("0","00"),("00","010"),("0101","10"),("110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","010"),("0101","10"),("1101","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","010"),("0101","10"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","010"),("0101","100"),("0110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","010"),("0101","1000"),("0110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","010"),("011","1"),("1","1110")] => ([0,1,2,3],[]) => False
[("0","00"),("00","010"),("011","1"),("1001","0")] => ([0,1,2,3],[]) => False
[("0","00"),("00","010"),("011","1"),("1001","011")] => ([0,1,2,3],[]) => False
[("0","00"),("00","010"),("011","1"),("1101","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","010"),("0110","1"),("1","0")] => ([0,1,2,3],[]) => False
[("0","00"),("00","010"),("0110","1"),("1","00")] => ([0,1,2,3],[]) => False
[("0","00"),("00","010"),("0110","1"),("1","0001")] => ([0,1,2,3],[]) => False
[("0","00"),("00","010"),("0110","1"),("1","01")] => ([0,1,2,3],[]) => False
[("0","00"),("00","010"),("0110","1"),("1","1011")] => ([0,1,2,3],[]) => False
[("0","00"),("00","010"),("0110","1"),("1001","0")] => ([0,1,2,3],[]) => False
[("0","00"),("00","010"),("0110","1"),("1001","00")] => ([0,1,2,3],[]) => False
[("0","00"),("00","010"),("0110","1"),("1001","000")] => ([0,1,2,3],[]) => False
[("0","00"),("00","010"),("0110","1"),("1001","001")] => ([0,1,2,3],[]) => False
[("0","00"),("00","010"),("0110","1"),("101","0")] => ([0,1,2,3],[]) => False
[("0","00"),("00","010"),("0110","1"),("101","01")] => ([0,1,2,3],[]) => False
[("0","00"),("00","010"),("0110","1"),("101","0110")] => ([0,1,2,3],[]) => False
[("0","00"),("00","010"),("0110","1"),("1011","0")] => ([0,1,2,3],[]) => False
[("0","00"),("00","010"),("0110","1"),("1011","01")] => ([0,1,2,3],[]) => False
[("0","00"),("00","010"),("0110","1"),("1011","10")] => ([0,1,2,3],[]) => False
[("0","00"),("00","010"),("0111","1"),("1001","0")] => ([0,1,2,3],[]) => False
[("0","00"),("00","010"),("0111","1"),("1001","011")] => ([0,1,2,3],[]) => False
[("0","00"),("00","010"),("0111","1"),("1001","0111")] => ([0,1,2,3],[]) => False
[("0","00"),("00","010"),("0111","1"),("1001","101")] => ([0,1,2,3],[]) => False
[("0","00"),("00","010"),("0111","1"),("1001","110")] => ([0,1,2,3],[]) => False
[("0","00"),("00","010"),("0111","1"),("1101","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","010"),("1","0011"),("1101","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","010"),("1","011"),("1011","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","010"),("1","0111"),("1001","0")] => ([0,1,2,3],[]) => False
[("0","00"),("00","010"),("1","101"),("1011","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","010"),("1","1011"),("1001","0")] => ([0,1,2,3],[]) => False
[("0","00"),("00","010"),("1001","0"),("1001","11")] => ([0,1,2,3],[]) => False
[("0","00"),("00","010"),("1001","0"),("1011","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","010"),("1001","00"),("1001","11")] => ([0,1,2],[3]) => True
[("0","00"),("00","010"),("1001","011"),("1011","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","010"),("1001","101"),("1011","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","010"),("1001","1011"),("1011","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","010"),("1001","11"),("101","0")] => ([0,1,2,3],[]) => False
[("0","00"),("00","010"),("1001","11"),("1011","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","010"),("1001","11"),("111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","010"),("1001","11"),("111","11")] => ([0,1,2,3],[]) => False
[("0","00"),("00","010"),("1001","11"),("1111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","010"),("1001","11"),("1111","11")] => ([0,1,3],[2]) => True
[("0","00"),("00","010"),("1001","11"),("1111","111")] => ([0,1,2,3],[]) => False
[("0","00"),("00","010"),("1001","111"),("111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","010"),("1001","111"),("111","11")] => ([0,1,2,3],[]) => False
[("0","00"),("00","010"),("1001","111"),("1111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","010"),("1001","111"),("1111","11")] => ([0,1,2,3],[]) => False
[("0","00"),("00","010"),("1001","111"),("1111","111")] => ([0,1,2,3],[]) => False
[("0","00"),("00","010"),("1001","1111"),("1111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","010"),("1001","1111"),("1111","11")] => ([0,1,2,3],[]) => False
[("0","00"),("00","010"),("1001","1111"),("1111","111")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0101"),("0000","001"),("0101","10")] => ([0,1,3],[2]) => True
[("0","00"),("00","0101"),("0001","0"),("0101","100")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0101"),("0001","0"),("011","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0101"),("0001","0"),("0110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0101"),("0001","0"),("0111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0101"),("0001","0"),("1","0111")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0101"),("0001","0"),("1","110")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0101"),("0001","0"),("1","1100")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0101"),("0001","0"),("1","1101")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0101"),("0001","0"),("1001","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0101"),("0001","0"),("1011","11")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0101"),("0001","0"),("110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0101"),("0001","0"),("1100","1")] => ([0,1,2,3],[]) => False
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[("0","00"),("00","0101"),("0001","10"),("1101","1")] => ([0,1,2,3],[]) => False
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[("0","00"),("00","0101"),("0001","1000"),("0110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0101"),("0001","1000"),("1100","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0101"),("0001","101"),("0101","10")] => ([0,1,2,3],[]) => False
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[("0","00"),("00","0101"),("0001","110"),("0110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0101"),("0001","110"),("1100","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0101"),("0001","110"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0101"),("0001","1111"),("1111","11")] => ([0,3],[1,2]) => True
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[("0","00"),("00","0101"),("001","0"),("1","1101")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0101"),("001","0"),("1001","1")] => ([0,1,2,3],[]) => False
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[("0","00"),("00","0101"),("001","0"),("110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0101"),("001","0"),("1100","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0101"),("001","0"),("1101","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0101"),("001","0"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0101"),("001","00"),("1001","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0101"),("001","00"),("1100","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0101"),("001","000"),("0110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0101"),("001","0010"),("1001","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0101"),("001","0110"),("1100","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0101"),("001","10"),("0101","0")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0101"),("001","10"),("0101","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0101"),("001","10"),("0101","10")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0101"),("001","10"),("0111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0101"),("001","10"),("1001","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0101"),("001","10"),("1010","10")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0101"),("001","10"),("110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0101"),("001","10"),("1100","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0101"),("001","10"),("1101","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0101"),("001","10"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0101"),("001","100"),("1001","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0101"),("001","100"),("1100","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0101"),("001","1000"),("0110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0101"),("001","1000"),("1100","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0101"),("001","101"),("1010","10")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0101"),("001","1010"),("0101","10")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0101"),("001","1010"),("1010","10")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0101"),("001","11"),("0110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0101"),("001","11"),("1111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0101"),("001","11"),("1111","11")] => ([0,3],[1,2]) => True
[("0","00"),("00","0101"),("001","110"),("0110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0101"),("001","110"),("1100","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0101"),("001","110"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0101"),("001","1100"),("1100","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0101"),("001","1111"),("111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0101"),("001","1111"),("1111","11")] => ([0,3],[1,2]) => True
[("0","00"),("00","0101"),("0010","0"),("01","10")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0101"),("0010","0"),("1","1011")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0101"),("0010","0"),("1001","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0101"),("0010","0"),("101","10")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0101"),("0010","0"),("1010","100")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0101"),("0010","0"),("11","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0101"),("0010","0"),("110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0101"),("0010","0"),("1100","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0101"),("0010","0"),("1101","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0101"),("0010","0"),("111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0101"),("0010","0"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0101"),("0010","0"),("1111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0101"),("0010","000"),("1100","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0101"),("0010","0011"),("1100","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0101"),("0010","0100"),("0101","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0101"),("0010","011"),("111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0101"),("0010","1000"),("1100","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0101"),("0010","101"),("1010","10")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0101"),("0010","1010"),("0101","10")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0101"),("0010","11"),("111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0101"),("0010","11"),("1111","11")] => ([0,3],[1,2]) => True
[("0","00"),("00","0101"),("0010","111"),("1111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0101"),("0010","1111"),("111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0101"),("0010","1111"),("1111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0101"),("0010","1111"),("1111","11")] => ([0,3],[1,2]) => True
[("0","00"),("00","0101"),("0011","0"),("101","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0101"),("0011","0001"),("0101","10")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0101"),("0011","01"),("1","110")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0101"),("0011","01"),("1","1100")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0101"),("0011","01"),("1","1101")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0101"),("0011","01"),("101","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0101"),("0011","01"),("1010","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0101"),("0011","1"),("01","0")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0101"),("0011","1"),("01","011")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0101"),("0011","1"),("0101","0")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0101"),("0011","1"),("0101","00")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0101"),("0011","1"),("0101","000")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0101"),("0011","1"),("0101","10")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0101"),("0011","1"),("1","0110")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0101"),("0011","1"),("1","110")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0101"),("0011","1"),("1","1110")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0101"),("0011","1"),("10","0")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0101"),("0011","1"),("10","1100")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0101"),("0011","1"),("101","0")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0101"),("0011","1"),("101","01")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0101"),("0011","1"),("101","10")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0101"),("0011","1"),("1010","011")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0101"),("0011","1"),("1010","10")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0101"),("0011","10"),("0101","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0101"),("0011","10"),("101","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0101"),("0011","10"),("1010","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0101"),("0011","1100"),("0101","10")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0101"),("01","0"),("011","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0101"),("01","0"),("0110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0101"),("01","0"),("0111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0101"),("01","0"),("110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0101"),("01","0"),("1100","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0101"),("01","0"),("1101","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0101"),("01","0"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0101"),("01","0010"),("1001","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0101"),("01","0011"),("110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0101"),("01","0011"),("1100","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0101"),("01","10"),("0110","01")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0101"),("01","10"),("0110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0101"),("01","10"),("110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0101"),("01","10"),("1100","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0101"),("01","10"),("1101","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0101"),("01","1000"),("1100","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0101"),("01","1010"),("011","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0101"),("01","11"),("0111","01")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0101"),("01","11"),("1011","0")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0101"),("01","11"),("1101","01")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0101"),("01","110"),("0110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0101"),("01","110"),("0111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0101"),("01","110"),("110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0101"),("01","110"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0101"),("01","1101"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0101"),("010","0"),("11","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0101"),("010","0"),("110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0101"),("010","0"),("1100","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0101"),("010","0"),("1101","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0101"),("010","0"),("111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0101"),("010","0"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0101"),("010","0"),("1111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0101"),("010","0100"),("0101","10")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0101"),("010","011"),("110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0101"),("010","011"),("1100","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0101"),("010","1000"),("1100","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0101"),("010","11"),("1100","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0101"),("010","11"),("111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0101"),("010","11"),("1111","11")] => ([0,3],[1,2]) => True
[("0","00"),("00","0101"),("010","110"),("1100","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0101"),("010","111"),("1111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0101"),("010","1111"),("111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0101"),("010","1111"),("1111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0101"),("010","1111"),("1111","11")] => ([0,3],[1,2]) => True
[("0","00"),("00","0101"),("0100","0"),("1","1101")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0101"),("0100","0"),("10","01")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0101"),("0100","0"),("1101","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0101"),("0100","1010"),("1010","10")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0101"),("0101","0"),("011","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0101"),("0101","0"),("0110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0101"),("0101","0"),("0111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0101"),("0101","0"),("1001","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0101"),("0101","0"),("110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0101"),("0101","0"),("1100","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0101"),("0101","0"),("1101","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0101"),("0101","0"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0101"),("0101","00"),("0110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0101"),("0101","00"),("1001","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0101"),("0101","00"),("1100","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0101"),("0101","000"),("0110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0101"),("0101","000"),("1100","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0101"),("0101","0001"),("0110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0101"),("0101","0010"),("1001","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0101"),("0101","011"),("0110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0101"),("0101","0110"),("1001","01")] => ([0,1],[2,3]) => True
[("0","00"),("00","0101"),("0101","0111"),("1101","01")] => ([0,1],[2,3]) => True
[("0","00"),("00","0101"),("0101","1"),("0111","10")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0101"),("0101","1"),("1","0110")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0101"),("0101","1"),("10","01")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0101"),("0101","1"),("1001","0")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0101"),("0101","1"),("1001","01")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0101"),("0101","10"),("011","0001")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0101"),("0101","10"),("011","001")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0101"),("0101","10"),("011","0011")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0101"),("0101","10"),("011","01")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0101"),("0101","10"),("011","0100")] => ([0,1,2],[3]) => True
[("0","00"),("00","0101"),("0101","10"),("011","0110")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0101"),("0101","10"),("011","100")] => ([0,1,2],[3]) => True
[("0","00"),("00","0101"),("0101","10"),("011","1001")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0101"),("0101","10"),("011","110")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0101"),("0101","10"),("011","1100")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0101"),("0101","10"),("011","1101")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0101"),("0101","10"),("0110","0001")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0101"),("0101","10"),("0110","001")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0101"),("0101","10"),("0110","0011")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0101"),("0101","10"),("0110","0100")] => ([0,1,2],[3]) => True
[("0","00"),("00","0101"),("0101","10"),("0110","10")] => ([0,1,2],[3]) => True
[("0","00"),("00","0101"),("0101","10"),("0110","1001")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0101"),("0101","10"),("0110","1100")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0101"),("0101","10"),("0111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0101"),("0101","10"),("1","0010")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0101"),("0101","10"),("1","0011")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0101"),("0101","10"),("1","011")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0101"),("0101","10"),("1","100")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0101"),("0101","10"),("1","1100")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0101"),("0101","10"),("1","1101")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0101"),("0101","10"),("1","111")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0101"),("0101","10"),("1","1111")] => ([0,1,2,3],[]) => False
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[("0","00"),("00","0101"),("0101","10"),("100","0001")] => ([0,1,2,3],[]) => False
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[("0","00"),("00","0101"),("0101","10"),("110","1001")] => ([0,1,2],[3]) => True
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[("0","00"),("00","0101"),("0101","10"),("1100","0111")] => ([0,1,2],[3]) => True
[("0","00"),("00","0101"),("0101","10"),("1100","10")] => ([0,1,2],[3]) => True
[("0","00"),("00","0101"),("0101","10"),("1100","100")] => ([0,1,2],[3]) => True
[("0","00"),("00","0101"),("0101","10"),("1100","1001")] => ([0,1,2],[3]) => True
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[("0","00"),("00","0101"),("0101","10"),("1101","100")] => ([0,1,2],[3]) => True
[("0","00"),("00","0101"),("0101","10"),("1101","1001")] => ([0,1,2],[3]) => True
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[("0","00"),("00","0101"),("0101","1101"),("0111","01")] => ([0,1],[2,3]) => True
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[("0","00"),("00","0101"),("011","1"),("10","1100")] => ([0,1,2,3],[]) => False
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[("0","00"),("00","0101"),("011","1010"),("1010","10")] => ([0,1,3],[2]) => True
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[("0","00"),("00","0101"),("0110","1"),("1","0001")] => ([0,1,2,3],[]) => False
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[("0","00"),("00","0101"),("0110","1"),("1","011")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0101"),("0110","1"),("1","10")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0101"),("0110","1"),("1","1000")] => ([0,1,2,3],[]) => False
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[("0","00"),("00","0101"),("0111","1"),("1","110")] => ([0,1,2,3],[]) => False
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[("0","00"),("00","0101"),("0111","1"),("10","110")] => ([0,1,2,3],[]) => False
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[("0","00"),("00","0101"),("0111","1"),("101","110")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0101"),("0111","1"),("1010","10")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0101"),("0111","1"),("1010","110")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0101"),("0111","10"),("101","1")] => ([0,1,2,3],[]) => False
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[("0","00"),("00","0101"),("0111","11"),("10","1100")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0101"),("1","0"),("1001","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0101"),("1","0010"),("1001","1")] => ([0,1,2,3],[]) => False
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[("0","00"),("00","0101"),("1","011"),("1100","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0101"),("1","011"),("1100","10")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0101"),("1","0110"),("101","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0101"),("1","0110"),("1010","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0101"),("1","0110"),("1100","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0101"),("1","0111"),("100","0")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0101"),("1","0111"),("1000","0")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0101"),("1","0111"),("1000","00")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0101"),("1","0111"),("110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0101"),("1","0111"),("1100","0")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0101"),("1","0111"),("1100","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0101"),("1","0111"),("1100","10")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0101"),("1","10"),("1001","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0101"),("1","10"),("1010","10")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0101"),("1","10"),("110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0101"),("1","10"),("1100","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0101"),("1","10"),("1101","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0101"),("1","100"),("1100","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0101"),("1","1000"),("1100","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0101"),("1","1010"),("1010","10")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0101"),("1","1011"),("100","0")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0101"),("1","1011"),("1000","00")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0101"),("1","1011"),("1100","10")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0101"),("1","110"),("1001","0")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0101"),("1","110"),("1100","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0101"),("1","110"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0101"),("10","0"),("1001","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0101"),("10","0"),("110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0101"),("10","0"),("1100","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0101"),("10","0"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0101"),("10","11"),("1101","0")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0101"),("10","110"),("1100","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0101"),("10","110"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0101"),("100","0"),("1001","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0101"),("100","0"),("1101","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0101"),("100","001"),("1001","1")] => ([0,2,3],[1]) => True
[("0","00"),("00","0101"),("1000","0"),("1001","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0101"),("1000","0"),("1101","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0101"),("1000","0"),("1101","11")] => ([0,2,3],[1]) => True
[("0","00"),("00","0101"),("1000","010"),("1010","10")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0101"),("1001","0"),("101","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0101"),("1001","0"),("101","11")] => ([0,1],[2,3]) => True
[("0","00"),("00","0101"),("1001","01"),("101","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0101"),("1001","01"),("1010","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0101"),("1001","1"),("101","0")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0101"),("1001","1"),("1010","00")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0101"),("1001","10"),("1010","10")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0101"),("1001","1010"),("1010","10")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0101"),("1001","11"),("101","0")] => ([0,1,3],[2]) => True
[("0","00"),("00","0101"),("101","0"),("110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0101"),("101","0"),("1100","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0101"),("101","0"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0101"),("101","01"),("1100","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0101"),("101","01"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0101"),("101","0110"),("1100","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0101"),("101","1"),("110","0")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0101"),("101","1"),("110","01")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0101"),("101","1"),("1100","0")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0101"),("101","1"),("1100","01")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0101"),("101","1"),("1110","0")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0101"),("101","1"),("1110","01")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0101"),("101","1"),("1110","10")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0101"),("101","10"),("110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0101"),("101","10"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0101"),("101","11"),("1100","10")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0101"),("101","110"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0101"),("101","1111"),("1111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0101"),("1010","00"),("1100","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0101"),("1010","000"),("1100","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0101"),("1010","1"),("11","0101")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0101"),("1010","1"),("110","10")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0101"),("1010","1"),("1101","0")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0101"),("1010","1"),("1101","01")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0101"),("1010","1"),("1101","10")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0101"),("1010","1"),("111","0101")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0101"),("1010","1"),("1111","0101")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0101"),("1010","1"),("1111","10")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0101"),("1010","10"),("1011","10")] => ([0,1,2,3],[]) => False
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[("0","00"),("00","0101"),("1010","10"),("11","10")] => ([0,1,2],[3]) => True
[("0","00"),("00","0101"),("1010","10"),("11","1010")] => ([0,1,2],[3]) => True
[("0","00"),("00","0101"),("1010","10"),("110","10")] => ([0,1,2],[3]) => True
[("0","00"),("00","0101"),("1010","10"),("110","1010")] => ([0,1,2],[3]) => True
[("0","00"),("00","0101"),("1010","10"),("1100","10")] => ([0,1,2],[3]) => True
[("0","00"),("00","0101"),("1010","10"),("1100","1010")] => ([0,1,2],[3]) => True
[("0","00"),("00","0101"),("1010","10"),("1101","10")] => ([0,1,2],[3]) => True
[("0","00"),("00","0101"),("1010","10"),("1101","1010")] => ([0,1,2],[3]) => True
[("0","00"),("00","0101"),("1010","10"),("111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0101"),("1010","10"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0101"),("1010","10"),("1111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0101"),("1010","100"),("1100","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0101"),("1010","1000"),("1100","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0101"),("1010","11"),("1100","0")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0101"),("1010","11"),("1111","11")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0101"),("1010","110"),("1100","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0101"),("1010","110"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0101"),("1010","1111"),("1111","11")] => ([0,1,2,3],[]) => False
[("0","00"),("00","011"),("0000","0100"),("1101","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","011"),("0001","0"),("0011","001")] => ([0,1,2,3],[]) => False
[("0","00"),("00","011"),("0001","0"),("1001","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","011"),("0001","0"),("1011","010")] => ([0,1,2,3],[]) => False
[("0","00"),("00","011"),("0001","0"),("1101","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","011"),("0001","10"),("1001","01")] => ([0,1,2,3],[]) => False
[("0","00"),("00","011"),("0001","10"),("101","1")] => ([0,2,3],[1]) => True
[("0","00"),("00","011"),("0001","111"),("1111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","011"),("001","0"),("0011","01")] => ([0,1,2,3],[]) => False
[("0","00"),("00","011"),("001","0"),("1001","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","011"),("001","0"),("1101","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","011"),("001","111"),("1111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","011"),("0010","0"),("0011","010")] => ([0,1,2,3],[]) => False
[("0","00"),("00","011"),("0010","0"),("011","01")] => ([0,1,2,3],[]) => False
[("0","00"),("00","011"),("0010","0"),("0110","001")] => ([0,1,2,3],[]) => False
[("0","00"),("00","011"),("0010","0"),("101","01")] => ([0,1,2,3],[]) => False
[("0","00"),("00","011"),("0010","0"),("101","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","011"),("0010","0"),("1101","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","011"),("0011","001"),("1001","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","011"),("0011","01"),("01","1010")] => ([0,1,2,3],[]) => False
[("0","00"),("00","011"),("0011","01"),("0101","10")] => ([0,1,2,3],[]) => False
[("0","00"),("00","011"),("0011","01"),("1","1110")] => ([0,1,2,3],[]) => False
[("0","00"),("00","011"),("0011","01"),("101","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","011"),("0011","01"),("101","11")] => ([0,1,2,3],[]) => False
[("0","00"),("00","011"),("0011","01"),("1010","01")] => ([0,1,2,3],[]) => False
[("0","00"),("00","011"),("0011","01"),("1101","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","011"),("0011","01"),("1101","11")] => ([0,1,2,3],[]) => False
[("0","00"),("00","011"),("0011","010"),("0101","10")] => ([0,1,2,3],[]) => False
[("0","00"),("00","011"),("0011","010"),("1001","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","011"),("0011","010"),("1010","01")] => ([0,1,2,3],[]) => False
[("0","00"),("00","011"),("0011","010"),("1010","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","011"),("0011","010"),("1101","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","011"),("0011","0101"),("0101","10")] => ([0,1,2,3],[]) => False
[("0","00"),("00","011"),("0011","0101"),("1010","01")] => ([0,1,2,3],[]) => False
[("0","00"),("00","011"),("0011","10"),("010","0")] => ([0,1,2,3],[]) => False
[("0","00"),("00","011"),("0011","10"),("0101","0")] => ([0,1,2,3],[]) => False
[("0","00"),("00","011"),("0011","10"),("0101","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","011"),("0011","10"),("1001","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","011"),("0011","10"),("1010","01")] => ([0,1,2,3],[]) => False
[("0","00"),("00","011"),("0011","10"),("1101","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","011"),("0011","10"),("1110","11")] => ([0,1,2,3],[]) => False
[("0","00"),("00","011"),("0011","100"),("0100","0")] => ([0,1,2,3],[]) => False
[("0","00"),("00","011"),("0011","100"),("0111","11")] => ([0,1,2,3],[]) => False
[("0","00"),("00","011"),("0011","101"),("0101","0")] => ([0,1,2,3],[]) => False
[("0","00"),("00","011"),("0011","101"),("0101","10")] => ([0,1,2,3],[]) => False
[("0","00"),("00","011"),("0011","1010"),("1010","01")] => ([0,1,2,3],[]) => False
[("0","00"),("00","011"),("0011","111"),("0111","0")] => ([0,1,2,3],[]) => False
[("0","00"),("00","011"),("01","0"),("1001","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","011"),("01","0"),("1101","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","011"),("01","0010"),("1000","0")] => ([0,1,2,3],[]) => False
[("0","00"),("00","011"),("01","1010"),("1010","10")] => ([0,2,3],[1]) => True
[("0","00"),("00","011"),("01","11"),("1011","0")] => ([0,1,2,3],[]) => False
[("0","00"),("00","011"),("01","111"),("1111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","011"),("010","0"),("0110","01")] => ([0,1,2,3],[]) => False
[("0","00"),("00","011"),("010","0"),("1101","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","011"),("0100","0"),("011","10")] => ([0,1,2,3],[]) => False
[("0","00"),("00","011"),("0100","0"),("0110","010")] => ([0,1,2,3],[]) => False
[("0","00"),("00","011"),("0100","0"),("110","01")] => ([0,1,2,3],[]) => False
[("0","00"),("00","011"),("0100","0"),("1100","001")] => ([0,1,2,3],[]) => False
[("0","00"),("00","011"),("0100","0"),("1101","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","011"),("0100","001"),("1100","10")] => ([0,1,2,3],[]) => False
[("0","00"),("00","011"),("0101","0"),("1","1101")] => ([0,1,2,3],[]) => False
[("0","00"),("00","011"),("0101","0"),("101","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","011"),("0101","0"),("1101","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","011"),("0101","01"),("101","01")] => ([0,1,2,3],[]) => False
[("0","00"),("00","011"),("0101","01"),("101","0101")] => ([0,1,2,3],[]) => False
[("0","00"),("00","011"),("0101","01"),("110","01")] => ([0,1,2,3],[]) => False
[("0","00"),("00","011"),("0101","01"),("110","0101")] => ([0,1,2,3],[]) => False
[("0","00"),("00","011"),("0101","1"),("011","0")] => ([0,1,2,3],[]) => False
[("0","00"),("00","011"),("0101","1"),("0110","010")] => ([0,1,2,3],[]) => False
[("0","00"),("00","011"),("0101","1"),("10","0")] => ([0,1,2,3],[]) => False
[("0","00"),("00","011"),("0101","1"),("100","0")] => ([0,1,2,3],[]) => False
[("0","00"),("00","011"),("0101","1"),("1000","0")] => ([0,1,2,3],[]) => False
[("0","00"),("00","011"),("0101","1"),("101","0")] => ([0,1,2,3],[]) => False
[("0","00"),("00","011"),("0101","1"),("101","01")] => ([0,1,2,3],[]) => False
[("0","00"),("00","011"),("0101","1"),("1011","0")] => ([0,1,2,3],[]) => False
[("0","00"),("00","011"),("0101","1"),("1011","01")] => ([0,1,2,3],[]) => False
[("0","00"),("00","011"),("0101","1"),("1011","10")] => ([0,1,2,3],[]) => False
[("0","00"),("00","011"),("0101","1"),("11","0")] => ([0,1,2,3],[]) => False
[("0","00"),("00","011"),("0101","1"),("11","01")] => ([0,1,2,3],[]) => False
[("0","00"),("00","011"),("0101","1"),("11","10")] => ([0,1,2,3],[]) => False
[("0","00"),("00","011"),("0101","1"),("11","1010")] => ([0,1,2,3],[]) => False
[("0","00"),("00","011"),("0101","1"),("110","01")] => ([0,1,2,3],[]) => False
[("0","00"),("00","011"),("0101","1"),("1100","01")] => ([0,1,2,3],[]) => False
[("0","00"),("00","011"),("0101","1"),("1100","10")] => ([0,1,2,3],[]) => False
[("0","00"),("00","011"),("0101","1"),("1101","0")] => ([0,1,2,3],[]) => False
[("0","00"),("00","011"),("0101","10"),("0110","01")] => ([0,1,2,3],[]) => False
[("0","00"),("00","011"),("0101","10"),("0110","010")] => ([0,1,2,3],[]) => False
[("0","00"),("00","011"),("0101","10"),("0110","0101")] => ([0,1,2,3],[]) => False
[("0","00"),("00","011"),("0101","10"),("0110","10")] => ([0,1,2,3],[]) => False
[("0","00"),("00","011"),("0101","10"),("0110","1010")] => ([0,1,2,3],[]) => False
[("0","00"),("00","011"),("0101","10"),("1","01")] => ([0,1,2,3],[]) => False
[("0","00"),("00","011"),("0101","10"),("1","0101")] => ([0,1,2,3],[]) => False
[("0","00"),("00","011"),("0101","10"),("1","1101")] => ([0,1,2,3],[]) => False
[("0","00"),("00","011"),("0101","10"),("10","1010")] => ([0,2,3],[1]) => True
[("0","00"),("00","011"),("0101","10"),("11","01")] => ([0,1,2,3],[]) => False
[("0","00"),("00","011"),("0101","10"),("11","0101")] => ([0,1,2,3],[]) => False
[("0","00"),("00","011"),("0101","10"),("11","10")] => ([0,1,2],[3]) => True
[("0","00"),("00","011"),("0101","10"),("11","1010")] => ([0,1,2,3],[]) => False
[("0","00"),("00","011"),("0101","10"),("110","01")] => ([0,1,2,3],[]) => False
[("0","00"),("00","011"),("0101","10"),("110","0101")] => ([0,1,2,3],[]) => False
[("0","00"),("00","011"),("0101","10"),("110","10")] => ([0,1,2,3],[]) => False
[("0","00"),("00","011"),("0101","10"),("110","101")] => ([0,1,2,3],[]) => False
[("0","00"),("00","011"),("0101","10"),("110","1010")] => ([0,1,2,3],[]) => False
[("0","00"),("00","011"),("0101","10"),("1100","010")] => ([0,1,2,3],[]) => False
[("0","00"),("00","011"),("0101","10"),("1100","0101")] => ([0,1,2,3],[]) => False
[("0","00"),("00","011"),("0101","10"),("1100","10")] => ([0,1,2],[3]) => True
[("0","00"),("00","011"),("0101","10"),("1100","101")] => ([0,1,2,3],[]) => False
[("0","00"),("00","011"),("0101","10"),("1100","1010")] => ([0,1,2,3],[]) => False
[("0","00"),("00","011"),("0101","10"),("1101","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","011"),("011","0"),("1001","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","011"),("011","0"),("1010","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","011"),("011","0"),("1101","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","011"),("011","0010"),("1001","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","011"),("011","01"),("1010","01")] => ([0,1,2,3],[]) => False
[("0","00"),("00","011"),("011","010"),("1001","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","011"),("011","010"),("1101","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","011"),("011","0101"),("1010","01")] => ([0,1,2,3],[]) => False
[("0","00"),("00","011"),("011","1010"),("1010","01")] => ([0,1,2,3],[]) => False
[("0","00"),("00","011"),("0110","01"),("1010","0")] => ([0,1,2,3],[]) => False
[("0","00"),("00","011"),("0110","01"),("1111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","011"),("0110","010"),("1001","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","011"),("0110","010"),("1010","01")] => ([0,1,2,3],[]) => False
[("0","00"),("00","011"),("0110","010"),("1101","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","011"),("0110","010"),("1101","11")] => ([0,1,2,3],[]) => False
[("0","00"),("00","011"),("0110","10"),("0111","11")] => ([0,1,2,3],[]) => False
[("0","00"),("00","011"),("0110","10"),("100","0")] => ([0,1,2,3],[]) => False
[("0","00"),("00","011"),("0110","10"),("1001","01")] => ([0,1,2,3],[]) => False
[("0","00"),("00","011"),("0110","10"),("101","01")] => ([0,1,2,3],[]) => False
[("0","00"),("00","011"),("0110","10"),("101","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","011"),("0110","10"),("1010","01")] => ([0,1,2,3],[]) => False
[("0","00"),("00","011"),("0110","10"),("1010","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","011"),("0110","10"),("110","01")] => ([0,1,2,3],[]) => False
[("0","00"),("00","011"),("0110","10"),("1101","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","011"),("0110","10"),("1111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","011"),("0110","100"),("1000","0")] => ([0,1,2,3],[]) => False
[("0","00"),("00","011"),("0110","100"),("1110","11")] => ([0,1,2,3],[]) => False
[("0","00"),("00","011"),("0110","101"),("1010","0")] => ([0,1,2,3],[]) => False
[("0","00"),("00","011"),("0110","101"),("1010","01")] => ([0,1,2,3],[]) => False
[("0","00"),("00","011"),("0110","101"),("1111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","011"),("0110","1010"),("1010","01")] => ([0,1,2,3],[]) => False
[("0","00"),("00","011"),("0110","1101"),("1111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","011"),("0110","111"),("1110","0")] => ([0,1,2,3],[]) => False
[("0","00"),("00","011"),("0110","1110"),("1111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","011"),("0111","0"),("101","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","011"),("0111","0"),("1101","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","011"),("0111","10"),("1101","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","011"),("0111","11"),("1","110")] => ([0,1,2,3],[]) => False
[("0","00"),("00","011"),("0111","11"),("1","1100")] => ([0,1,2,3],[]) => False
[("0","00"),("00","011"),("1","0"),("1101","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","011"),("1","010"),("1010","01")] => ([0,1,2,3],[]) => False
[("0","00"),("00","011"),("1","010"),("1010","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","011"),("1","0100"),("1101","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","011"),("1","011"),("1100","10")] => ([0,1,2,3],[]) => False
[("0","00"),("00","011"),("1","011"),("1101","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","011"),("1","0110"),("101","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","011"),("1","0111"),("1100","10")] => ([0,1,2,3],[]) => False
[("0","00"),("00","011"),("1","10"),("1010","01")] => ([0,1,2,3],[]) => False
[("0","00"),("00","011"),("1","100"),("1001","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","011"),("1","101"),("1010","01")] => ([0,1,2,3],[]) => False
[("0","00"),("00","011"),("1","1010"),("1010","01")] => ([0,1,2,3],[]) => False
[("0","00"),("00","011"),("1","1011"),("1100","10")] => ([0,1,2,3],[]) => False
[("0","00"),("00","011"),("1","110"),("1001","0")] => ([0,1,2,3],[]) => False
[("0","00"),("00","011"),("1","110"),("1101","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","011"),("1","110"),("1111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","011"),("1","1100"),("1111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","011"),("1","1101"),("1111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","011"),("1","1110"),("1001","0")] => ([0,1,2,3],[]) => False
[("0","00"),("00","011"),("1","1110"),("1111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","011"),("10","0"),("1101","11")] => ([0,1,2,3],[]) => False
[("0","00"),("00","011"),("10","0101"),("1100","10")] => ([0,1,2,3],[]) => False
[("0","00"),("00","011"),("10","111"),("1111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","011"),("100","0"),("1100","01")] => ([0,1,2,3],[]) => False
[("0","00"),("00","011"),("100","0100"),("1101","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","011"),("100","111"),("1111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","011"),("1000","0"),("101","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","011"),("1000","0"),("110","10")] => ([0,1,2,3],[]) => False
[("0","00"),("00","011"),("1000","0"),("1100","010")] => ([0,1,2,3],[]) => False
[("0","00"),("00","011"),("1000","0"),("1101","001")] => ([0,1,2,3],[]) => False
[("0","00"),("00","011"),("1000","01"),("101","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","011"),("1000","111"),("1111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","011"),("1001","0"),("101","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","011"),("1001","0"),("11","1110")] => ([0,1,2,3],[]) => False
[("0","00"),("00","011"),("1001","0"),("1101","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","011"),("1001","1"),("101","0")] => ([0,1,2,3],[]) => False
[("0","00"),("00","011"),("1001","1"),("101","00")] => ([0,1,2,3],[]) => False
[("0","00"),("00","011"),("1001","1"),("101","01")] => ([0,1,2,3],[]) => False
[("0","00"),("00","011"),("1001","1"),("101","10")] => ([0,1,2,3],[]) => False
[("0","00"),("00","011"),("1001","1"),("1011","01")] => ([0,1,2,3],[]) => False
[("0","00"),("00","011"),("1001","1"),("1011","10")] => ([0,1,2,3],[]) => False
[("0","00"),("00","011"),("1001","1"),("11","0")] => ([0,1,2,3],[]) => False
[("0","00"),("00","011"),("1001","1"),("11","0010")] => ([0,1,2,3],[]) => False
[("0","00"),("00","011"),("1001","1"),("11","010")] => ([0,1,2,3],[]) => False
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[("0","00"),("00","011"),("1001","1"),("110","01")] => ([0,1,2,3],[]) => False
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[("0","00"),("00","011"),("1001","1"),("1100","0010")] => ([0,1,2,3],[]) => False
[("0","00"),("00","011"),("1001","1"),("1100","010")] => ([0,1,2,3],[]) => False
[("0","00"),("00","011"),("1001","1"),("1101","0")] => ([0,1,2,3],[]) => False
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[("0","00"),("00","011"),("101","1"),("1011","01")] => ([0,1,2,3],[]) => False
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[("0","00"),("00","011"),("101","1"),("1101","110")] => ([0,2,3],[1]) => True
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[("0","00"),("00","011"),("101","1"),("1111","0")] => ([0,1,2,3],[]) => False
[("0","00"),("00","011"),("101","1"),("1111","1")] => ([0,1,2,3],[]) => False
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[("0","00"),("00","011"),("101","111"),("1111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","011"),("101","1111"),("1111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","011"),("1010","0"),("1100","01")] => ([0,1,2,3],[]) => False
[("0","00"),("00","011"),("1010","0"),("1101","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","011"),("1010","01"),("11","01")] => ([0,1,2,3],[]) => False
[("0","00"),("00","011"),("1010","01"),("11","10")] => ([0,1,2,3],[]) => False
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[("0","00"),("00","011"),("1010","01"),("110","010")] => ([0,1,2,3],[]) => False
[("0","00"),("00","011"),("1010","01"),("110","101")] => ([0,1,2,3],[]) => False
[("0","00"),("00","011"),("1010","01"),("1100","01")] => ([0,1,2,3],[]) => False
[("0","00"),("00","011"),("1010","01"),("1100","010")] => ([0,1,2,3],[]) => False
[("0","00"),("00","011"),("1010","01"),("1100","10")] => ([0,1,2,3],[]) => False
[("0","00"),("00","011"),("1010","01"),("1100","1010")] => ([0,1,2,3],[]) => False
[("0","00"),("00","011"),("1010","01"),("1101","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","011"),("1010","1"),("1011","0")] => ([0,1,2,3],[]) => False
[("0","00"),("00","011"),("1010","1"),("1011","10")] => ([0,1,2,3],[]) => False
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[("0","00"),("00","011"),("1010","1"),("11","010")] => ([0,1,2,3],[]) => False
[("0","00"),("00","011"),("1010","1"),("11","0101")] => ([0,1,2,3],[]) => False
[("0","00"),("00","011"),("1010","1"),("110","10")] => ([0,1,2,3],[]) => False
[("0","00"),("00","011"),("1010","1"),("1100","010")] => ([0,1,2,3],[]) => False
[("0","00"),("00","011"),("1010","10"),("110","10")] => ([0,1,2,3],[]) => False
[("0","00"),("00","011"),("1010","10"),("110","1010")] => ([0,1,2,3],[]) => False
[("0","00"),("00","011"),("1011","0"),("1101","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","011"),("1011","01"),("1101","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","011"),("1011","0100"),("1101","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","011"),("1011","011"),("1101","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","011"),("1011","110"),("1101","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","011"),("1011","111"),("1111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","011"),("11","0"),("1101","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","011"),("11","01"),("1101","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","011"),("11","010"),("1101","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","011"),("11","0111"),("1100","10")] => ([0,1,2,3],[]) => False
[("0","00"),("00","011"),("11","0111"),("1101","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","011"),("11","101"),("1101","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","011"),("11","1110"),("1101","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","011"),("11","1110"),("1111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","011"),("110","01"),("1101","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","011"),("110","10"),("1100","01")] => ([0,1,2,3],[]) => False
[("0","00"),("00","011"),("1100","01"),("1100","10")] => ([0,1,2,3],[]) => False
[("0","00"),("00","011"),("1100","01"),("1101","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","011"),("1100","01"),("1101","11")] => ([0,1,2,3],[]) => False
[("0","00"),("00","011"),("1100","010"),("1101","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","011"),("1100","10"),("1110","11")] => ([0,1,2,3],[]) => False
[("0","00"),("00","011"),("1101","0"),("1101","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","011"),("1101","1"),("111","0")] => ([0,1,2,3],[]) => False
[("0","00"),("00","011"),("1101","1"),("111","10")] => ([0,1,2,3],[]) => False
[("0","00"),("00","011"),("1101","1"),("1110","0")] => ([0,1,2,3],[]) => False
[("0","00"),("00","011"),("1101","1"),("1111","0")] => ([0,1,2,3],[]) => False
[("0","00"),("00","011"),("1101","1"),("1111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","011"),("1101","1"),("1111","10")] => ([0,1,2,3],[]) => False
[("0","00"),("00","011"),("1101","111"),("1111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","011"),("1101","1111"),("1111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","011"),("1110","11"),("1111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0110"),("0001","0"),("0011","01")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0110"),("0001","0"),("1","1101")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0110"),("0001","0"),("101","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0110"),("0001","0"),("1010","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0110"),("0001","00"),("1","1101")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0110"),("0001","0010"),("1001","1")] => ([0,2,3],[1]) => True
[("0","00"),("00","0110"),("001","0"),("1","1101")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0110"),("001","0"),("101","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0110"),("001","0"),("1010","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0110"),("001","0"),("11","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0110"),("001","100"),("1001","1")] => ([0,2,3],[1]) => True
[("0","00"),("00","0110"),("0010","0"),("0011","10")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0110"),("0010","0"),("0110","01")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0110"),("0010","0"),("1001","01")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0110"),("0010","111"),("11","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0110"),("0010","1111"),("11","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0110"),("0011","001"),("1001","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0110"),("0011","01"),("0101","01")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0110"),("0011","01"),("0101","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0110"),("0011","01"),("0111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0110"),("0011","01"),("1","1101")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0110"),("0011","01"),("1001","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0110"),("0011","01"),("101","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0110"),("0011","01"),("101","11")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0110"),("0011","01"),("11","1110")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0110"),("0011","01"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0110"),("0011","0101"),("0101","01")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0110"),("0011","0101"),("1010","01")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0110"),("0011","0111"),("0111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0110"),("0011","10"),("0111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0110"),("0011","10"),("1001","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0110"),("0011","10"),("101","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0110"),("0011","10"),("1010","01")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0110"),("0011","10"),("1010","10")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0110"),("0011","10"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0110"),("0011","101"),("0101","10")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0110"),("0011","101"),("0111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0110"),("0011","101"),("1010","01")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0110"),("0011","1010"),("1010","01")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0110"),("0011","1010"),("1010","10")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0110"),("0011","1011"),("0111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0110"),("0011","1110"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0110"),("01","0"),("1010","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0110"),("01","0101"),("1010","01")] => ([0,2,3],[1]) => True
[("0","00"),("00","0110"),("01","10"),("1001","01")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0110"),("01","10"),("1001","1")] => ([0,2,3],[1]) => True
[("0","00"),("00","0110"),("010","11"),("11","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0110"),("010","111"),("11","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0110"),("010","1111"),("11","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0110"),("0101","0"),("1","1101")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0110"),("0101","0"),("1001","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0110"),("0101","01"),("1001","01")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0110"),("0101","01"),("1001","0101")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0110"),("0101","01"),("11","0101")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0110"),("0101","010"),("1001","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0110"),("0101","1"),("011","0")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0110"),("0101","1"),("0110","0")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0110"),("0101","1"),("1","10")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0110"),("0101","1"),("1001","0")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0110"),("0101","1"),("1010","01")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0110"),("0101","1"),("110","0")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0110"),("0101","10"),("011","0101")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0110"),("0101","10"),("1","01")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0110"),("0101","10"),("1","1101")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0110"),("0101","10"),("1001","1")] => ([0,2,3],[1]) => True
[("0","00"),("00","0110"),("0101","10"),("11","0101")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0110"),("0101","10"),("11","101")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0110"),("0101","10"),("110","0101")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0110"),("0101","10"),("110","101")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0110"),("0101","10"),("110","1010")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0110"),("011","0"),("0111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0110"),("011","0"),("1001","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0110"),("011","0"),("101","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0110"),("011","0"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0110"),("011","0010"),("1001","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0110"),("011","01"),("0111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0110"),("011","01"),("1001","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0110"),("011","01"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0110"),("011","0111"),("0111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0110"),("011","0111"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0110"),("011","10"),("0111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0110"),("011","10"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0110"),("011","1011"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0110"),("011","1101"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0110"),("011","1110"),("0111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0110"),("011","1110"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0110"),("0110","0"),("0111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0110"),("0110","0"),("1001","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0110"),("0110","0"),("101","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0110"),("0110","0"),("11","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0110"),("0110","0"),("111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0110"),("0110","0"),("1111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0110"),("0110","0"),("1111","11")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0110"),("0110","01"),("0111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0110"),("0110","01"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0110"),("0110","010"),("1001","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0110"),("0110","010"),("101","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0110"),("0110","101"),("0111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0110"),("0110","1011"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0110"),("0111","0"),("1001","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0110"),("0111","01"),("1001","1")] => ([0,2,3],[1]) => True
[("0","00"),("00","0110"),("0111","1"),("1001","0")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0110"),("0111","1"),("1001","01")] => ([0,2,3],[1]) => True
[("0","00"),("00","0110"),("0111","1"),("1001","10")] => ([0,2,3],[1]) => True
[("0","00"),("00","0110"),("0111","1"),("1001","101")] => ([0,2,3],[1]) => True
[("0","00"),("00","0110"),("0111","1"),("11","0111")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0110"),("0111","1"),("11","1011")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0110"),("0111","1"),("11","1110")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0110"),("0111","11"),("11","1110")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0110"),("1","00"),("1001","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0110"),("1","01"),("101","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0110"),("1001","0"),("1001","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0110"),("1001","0"),("101","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0110"),("1001","01"),("1001","10")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0110"),("1001","1"),("101","0")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0110"),("1001","1"),("101","01")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0110"),("1001","1"),("101","010")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0110"),("1001","1"),("1011","0")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0110"),("1001","1"),("1011","01")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0110"),("1001","1"),("1011","10")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0110"),("1001","1"),("11","0")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0110"),("1001","1"),("11","0010")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0110"),("1001","1"),("11","01")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0110"),("1001","1"),("11","101")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0110"),("1001","1"),("111","0")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0110"),("1001","1"),("111","1")] => ([0,2,3],[1]) => True
[("0","00"),("00","0110"),("1001","1"),("111","101")] => ([0,2,3],[1]) => True
[("0","00"),("00","0110"),("1001","1"),("111","11")] => ([0,2,3],[1]) => True
[("0","00"),("00","0110"),("1001","1"),("1111","0")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0110"),("1001","1"),("1111","00")] => ([0,2,3],[1]) => True
[("0","00"),("00","0110"),("1001","1"),("1111","01")] => ([0,2,3],[1]) => True
[("0","00"),("00","0110"),("1001","1"),("1111","1")] => ([0,2,3],[1]) => True
[("0","00"),("00","0110"),("1001","1"),("1111","101")] => ([0,2,3],[1]) => True
[("0","00"),("00","0110"),("1001","1"),("1111","11")] => ([0,2,3],[1]) => True
[("0","00"),("00","0110"),("1001","1"),("1111","111")] => ([0,2,3],[1]) => True
[("0","00"),("00","0110"),("1001","11"),("111","1")] => ([0,2,3],[1]) => True
[("0","00"),("00","0110"),("1001","11"),("111","11")] => ([0,2,3],[1]) => True
[("0","00"),("00","0110"),("1001","11"),("1111","1")] => ([0,2,3],[1]) => True
[("0","00"),("00","0110"),("1001","11"),("1111","11")] => ([0,3],[1,2]) => True
[("0","00"),("00","0110"),("1001","11"),("1111","111")] => ([0,2,3],[1]) => True
[("0","00"),("00","0110"),("1001","111"),("111","1")] => ([0,2,3],[1]) => True
[("0","00"),("00","0110"),("1001","111"),("111","11")] => ([0,2,3],[1]) => True
[("0","00"),("00","0110"),("1001","111"),("1111","1")] => ([0,2,3],[1]) => True
[("0","00"),("00","0110"),("1001","111"),("1111","11")] => ([0,2,3],[1]) => True
[("0","00"),("00","0110"),("1001","111"),("1111","111")] => ([0,2,3],[1]) => True
[("0","00"),("00","0110"),("1001","1111"),("111","1")] => ([0,2,3],[1]) => True
[("0","00"),("00","0110"),("1001","1111"),("111","11")] => ([0,2,3],[1]) => True
[("0","00"),("00","0110"),("1001","1111"),("1111","1")] => ([0,2,3],[1]) => True
[("0","00"),("00","0110"),("1001","1111"),("1111","11")] => ([0,3],[1,2]) => True
[("0","00"),("00","0110"),("1001","1111"),("1111","111")] => ([0,2,3],[1]) => True
[("0","00"),("00","0110"),("101","1"),("11","0")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0110"),("101","111"),("11","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0111"),("0001","0"),("1011","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0111"),("0001","0"),("1011","11")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0111"),("0001","0"),("11","010")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0111"),("0001","000"),("1100","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0111"),("0001","10"),("110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0111"),("0001","10"),("1100","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0111"),("0001","10"),("1101","1")] => ([0,2,3],[1]) => True
[("0","00"),("00","0111"),("0001","1000"),("1100","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0111"),("001","0"),("1011","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0111"),("001","000"),("1100","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0111"),("001","0110"),("1100","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0111"),("001","10"),("110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0111"),("001","10"),("1100","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0111"),("001","10"),("1101","1")] => ([0,2,3],[1]) => True
[("0","00"),("00","0111"),("001","100"),("1100","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0111"),("001","1100"),("1100","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0111"),("0010","0"),("0111","01")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0111"),("0010","0"),("1011","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0111"),("0010","0"),("1101","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0111"),("0011","0"),("1001","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0111"),("0011","0"),("110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0111"),("0011","0"),("1100","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0111"),("0011","0"),("1101","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0111"),("0011","0"),("111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0111"),("0011","00"),("1100","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0111"),("0011","000"),("1100","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0111"),("0011","0001"),("1100","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0111"),("0011","01"),("1","110")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0111"),("0011","01"),("1","1110")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0111"),("0011","01"),("1001","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0111"),("0011","01"),("1100","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0111"),("0011","0110"),("1100","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0111"),("0011","1"),("0111","0")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0111"),("0011","1"),("0111","00")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0111"),("0011","1"),("0111","000")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0111"),("0011","1"),("0111","0001")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0111"),("0011","1"),("0111","01")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0111"),("0011","1"),("0111","10")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0111"),("0011","1"),("0111","1000")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0111"),("0011","1"),("0111","11")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0111"),("0011","1"),("1","00")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0111"),("0011","1"),("1","000")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0111"),("0011","1"),("1","0001")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0111"),("0011","1"),("1","001")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0111"),("0011","1"),("1","01")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0111"),("0011","1"),("1","0110")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0111"),("0011","1"),("1","1000")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0111"),("0011","1"),("1","110")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0111"),("0011","1"),("10","000")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0111"),("0011","1"),("10","0001")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0111"),("0011","1"),("10","01")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0111"),("0011","1"),("10","1000")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0111"),("0011","1"),("100","00")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0111"),("0011","1"),("100","000")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0111"),("0011","1"),("100","0001")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0111"),("0011","1"),("100","001")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0111"),("0011","1"),("100","0011")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0111"),("0011","1"),("100","01")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0111"),("0011","1"),("100","0110")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0111"),("0011","1"),("100","1000")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0111"),("0011","1"),("1000","000")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0111"),("0011","1"),("1000","0001")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0111"),("0011","1"),("1000","01")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0111"),("0011","1"),("1001","0")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0111"),("0011","1"),("1001","00")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0111"),("0011","1"),("1001","000")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0111"),("0011","1"),("1001","0001")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0111"),("0011","1"),("1001","01")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0111"),("0011","1"),("1001","10")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0111"),("0011","1"),("1001","1000")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0111"),("0011","1"),("101","0")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0111"),("0011","1"),("101","01")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0111"),("0011","1"),("101","10")] => ([0,2,3],[1]) => True
[("0","00"),("00","0111"),("0011","1"),("1010","0")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0111"),("0011","1"),("1010","01")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0111"),("0011","1"),("1010","10")] => ([0,2,3],[1]) => True
[("0","00"),("00","0111"),("0011","1"),("1011","0")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0111"),("0011","1"),("1011","01")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0111"),("0011","1"),("11","0")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0111"),("0011","1"),("11","00")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0111"),("0011","1"),("11","000")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0111"),("0011","1"),("11","0001")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0111"),("0011","1"),("11","01")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0111"),("0011","1"),("11","0110")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0111"),("0011","1"),("11","10")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0111"),("0011","1"),("11","100")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0111"),("0011","1"),("11","1000")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0111"),("0011","1"),("11","110")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0111"),("0011","1"),("110","000")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0111"),("0011","1"),("110","01")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0111"),("0011","1"),("110","0110")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0111"),("0011","1"),("110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0111"),("0011","1"),("110","10")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0111"),("0011","1"),("110","1000")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0111"),("0011","1"),("1100","000")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0111"),("0011","1"),("1100","0001")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0111"),("0011","1"),("1100","01")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0111"),("0011","1"),("1100","011")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0111"),("0011","1"),("1100","0110")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0111"),("0011","1"),("1100","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0111"),("0011","1"),("1100","10")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0111"),("0011","1"),("1100","1000")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0111"),("0011","1"),("1101","0")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0111"),("0011","1"),("1101","10")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0111"),("0011","1"),("111","0")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0111"),("0011","1"),("111","00")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0111"),("0011","1"),("111","000")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0111"),("0011","1"),("111","0001")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0111"),("0011","1"),("111","0011")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0111"),("0011","1"),("111","01")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0111"),("0011","1"),("111","0110")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0111"),("0011","1"),("111","10")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0111"),("0011","1"),("111","100")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0111"),("0011","1"),("111","1000")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0111"),("0011","1"),("1110","000")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0111"),("0011","1"),("1110","011")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0111"),("0011","1"),("1110","0110")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0111"),("0011","1"),("1110","100")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0111"),("0011","1"),("1110","1000")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0111"),("0011","1"),("1110","110")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0111"),("0011","1"),("1111","0")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0111"),("0011","1"),("1111","00")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0111"),("0011","1"),("1111","000")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0111"),("0011","1"),("1111","0001")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0111"),("0011","1"),("1111","001")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0111"),("0011","1"),("1111","01")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0111"),("0011","1"),("1111","011")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0111"),("0011","1"),("1111","0110")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0111"),("0011","1"),("1111","10")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0111"),("0011","1"),("1111","100")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0111"),("0011","1"),("1111","1000")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0111"),("0011","1"),("1111","110")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0111"),("0011","10"),("101","1")] => ([0,2,3],[1]) => True
[("0","00"),("00","0111"),("0011","10"),("1011","1")] => ([0,2,3],[1]) => True
[("0","00"),("00","0111"),("0011","10"),("1100","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0111"),("0011","100"),("1001","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0111"),("0011","1000"),("1100","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0111"),("0011","110"),("110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0111"),("0011","110"),("1100","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0111"),("0011","1100"),("1100","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0111"),("01","0"),("1011","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0111"),("01","000"),("1100","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0111"),("01","011"),("1100","0")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0111"),("01","10"),("110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0111"),("01","10"),("1100","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0111"),("01","1000"),("1100","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0111"),("01","1010"),("0111","11")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0111"),("01","11"),("1011","0")] => ([0,2,3],[1]) => True
[("0","00"),("00","0111"),("01","11"),("1101","01")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0111"),("01","110"),("110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0111"),("010","0"),("1011","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0111"),("010","0"),("1101","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0111"),("010","11"),("111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0111"),("010","111"),("111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0111"),("010","1111"),("111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0111"),("0100","0"),("0111","10")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0111"),("0100","0"),("1011","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0111"),("0100","0"),("1101","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0111"),("0100","0"),("111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0111"),("0100","0"),("1110","01")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0111"),("0100","110"),("111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0111"),("0100","111"),("111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0111"),("0100","1110"),("111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0111"),("0101","0"),("1011","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0111"),("0101","0"),("1101","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0111"),("0101","0"),("111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0111"),("0101","000"),("1100","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0111"),("0101","01"),("110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0111"),("0101","01"),("1100","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0111"),("0101","01"),("1101","01")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0111"),("0101","01"),("1101","0101")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0111"),("0101","01"),("1110","01")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0111"),("0101","01"),("1110","0101")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0111"),("0101","1"),("0111","0")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0111"),("0101","1"),("1","01")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0111"),("0101","1"),("11","0")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0111"),("0101","1"),("110","0")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0111"),("0101","1"),("1100","0")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0111"),("0101","1"),("1101","0")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0111"),("0101","1"),("1101","01")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0111"),("0101","1"),("111","0")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0111"),("0101","1"),("111","01")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0111"),("0101","1"),("111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0111"),("0101","1"),("111","10")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0111"),("0101","1"),("111","1010")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0111"),("0101","10"),("1","101")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0111"),("0101","10"),("1","1101")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0111"),("0101","10"),("111","01")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0111"),("0101","10"),("111","0101")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0111"),("0101","10"),("111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0111"),("0101","10"),("111","10")] => ([0,1,2],[3]) => True
[("0","00"),("00","0111"),("0101","10"),("111","1010")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0111"),("0101","10"),("1110","10")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0111"),("0101","10"),("1110","101")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0111"),("0101","10"),("1110","1010")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0111"),("0101","11"),("111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0111"),("0101","110"),("111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0111"),("0101","111"),("111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0111"),("0101","1110"),("111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0111"),("0101","1111"),("111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0111"),("011","0"),("1001","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0111"),("011","0"),("110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0111"),("011","0"),("1100","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0111"),("011","0"),("1101","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0111"),("011","000"),("1100","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0111"),("011","0001"),("1100","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0111"),("011","0010"),("1000","0")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0111"),("011","01"),("100","0")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0111"),("011","01"),("1001","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0111"),("011","01"),("1100","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0111"),("011","0110"),("1100","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0111"),("011","1"),("0111","0")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0111"),("011","1"),("0111","10")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0111"),("011","1"),("0111","101")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0111"),("011","1"),("0111","110")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0111"),("011","1"),("1","0")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0111"),("011","1"),("1","01")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0111"),("011","1"),("1","1110")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0111"),("011","1"),("10","0")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0111"),("011","1"),("10","01")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0111"),("011","1"),("10","011")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0111"),("011","1"),("1000","01")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0111"),("011","1"),("1001","0")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0111"),("011","1"),("101","0")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0111"),("011","1"),("101","01")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0111"),("011","1"),("101","10")] => ([0,2,3],[1]) => True
[("0","00"),("00","0111"),("011","1"),("1010","0")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0111"),("011","1"),("1010","01")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0111"),("011","1"),("1010","10")] => ([0,2,3],[1]) => True
[("0","00"),("00","0111"),("011","1"),("1011","0")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0111"),("011","1"),("1011","01")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0111"),("011","1"),("1011","011")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0111"),("011","1"),("11","0")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0111"),("011","1"),("11","10")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0111"),("011","1"),("110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0111"),("011","1"),("1100","01")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0111"),("011","1"),("1101","0")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0111"),("011","1"),("111","0")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0111"),("011","1"),("111","011")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0111"),("011","1"),("111","10")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0111"),("011","1"),("111","110")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0111"),("011","1"),("1110","01")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0111"),("011","1"),("1110","011")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0111"),("011","1"),("1111","0")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0111"),("011","1"),("1111","01")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0111"),("011","10"),("1100","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0111"),("011","1000"),("1100","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0111"),("0110","0"),("0111","11")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0111"),("0110","0"),("1011","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0111"),("0110","0"),("1101","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0111"),("0110","0"),("111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0111"),("0110","01"),("1011","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0111"),("0110","1"),("0111","0")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0111"),("0110","1"),("0111","011")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0111"),("0110","1"),("0111","0110")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0111"),("0110","1"),("0111","110")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0111"),("0110","1"),("1","0")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0111"),("0110","1"),("1","0011")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0111"),("0110","1"),("1","01")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0111"),("0110","1"),("1","011")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0111"),("0110","1"),("1","10")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0111"),("0110","1"),("1","1011")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0111"),("0110","1"),("1","110")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0111"),("0110","1"),("1","1100")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0111"),("0110","1"),("1","1101")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0111"),("0110","1"),("1011","0")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0111"),("0110","1"),("1011","01")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0111"),("0110","1"),("1011","10")] => ([0,2,3],[1]) => True
[("0","00"),("00","0111"),("0110","1"),("11","0")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0111"),("0110","1"),("1101","0")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0111"),("0110","1"),("1101","01")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0111"),("0110","1"),("1101","10")] => ([0,2,3],[1]) => True
[("0","00"),("00","0111"),("0110","1"),("111","0")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0111"),("0110","1"),("111","011")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0111"),("0110","1"),("111","0110")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0111"),("0110","1"),("111","10")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0111"),("0110","1"),("111","101")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0111"),("0110","1"),("1110","00")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0111"),("0110","1"),("1110","000")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0111"),("0110","1"),("1110","0001")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0111"),("0110","1"),("1110","01")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0111"),("0110","1"),("1110","10")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0111"),("0110","1"),("1110","11")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0111"),("0110","1"),("1111","0")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0111"),("0110","1"),("1111","01")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0111"),("0110","1"),("1111","10")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0111"),("0110","1"),("1111","11")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0111"),("0110","10"),("1101","1")] => ([0,2,3],[1]) => True
[("0","00"),("00","0111"),("0110","10"),("111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0111"),("0110","111"),("111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0111"),("0110","1110"),("111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0111"),("0110","1111"),("111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0111"),("0111","0"),("1001","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0111"),("0111","0"),("101","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0111"),("0111","0"),("1010","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0111"),("0111","0"),("1011","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0111"),("0111","0"),("1011","11")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0111"),("0111","0"),("110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0111"),("0111","0"),("1100","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0111"),("0111","0"),("1101","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0111"),("0111","00"),("1100","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0111"),("0111","000"),("1100","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0111"),("0111","0001"),("1100","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0111"),("0111","0010"),("1001","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0111"),("0111","01"),("1010","01")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0111"),("0111","01"),("1011","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0111"),("0111","01"),("1100","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0111"),("0111","0101"),("1010","01")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0111"),("0111","10"),("1011","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0111"),("0111","10"),("1100","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0111"),("0111","10"),("1101","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0111"),("0111","1000"),("1100","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0111"),("0111","101"),("1001","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0111"),("0111","1010"),("1010","01")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0111"),("0111","110"),("1011","1")] => ([0,1],[2,3]) => True
[("0","00"),("00","0111"),("1","0"),("101","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0111"),("1","0"),("1011","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0111"),("1","0"),("1100","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0111"),("1","000"),("1100","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0111"),("1","001"),("1100","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0111"),("1","0010"),("1001","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0111"),("1","01"),("1011","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0111"),("1","01"),("1101","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0111"),("1","010"),("1010","01")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0111"),("1","011"),("1011","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0111"),("1","011"),("1100","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0111"),("1","011"),("1100","10")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0111"),("1","011"),("1101","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0111"),("1","0110"),("101","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0111"),("1","0110"),("1100","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0111"),("1","10"),("1001","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0111"),("1","10"),("1010","01")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0111"),("1","10"),("1010","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0111"),("1","10"),("1011","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0111"),("1","10"),("110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0111"),("1","10"),("1100","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0111"),("1","10"),("1101","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0111"),("1","100"),("1001","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0111"),("1","100"),("1100","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0111"),("1","1000"),("1100","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0111"),("1","101"),("1010","01")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0111"),("1","101"),("1101","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0111"),("1","110"),("1001","0")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0111"),("1","110"),("1011","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0111"),("1","1101"),("1111","11")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0111"),("10","0"),("1011","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0111"),("10","0"),("1101","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0111"),("100","0"),("1011","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0111"),("100","0"),("1101","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0111"),("100","01"),("1011","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0111"),("100","011"),("1110","10")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0111"),("1000","0"),("1011","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0111"),("1000","0"),("11","001")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0111"),("1000","0"),("1101","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0111"),("1000","0"),("1101","11")] => ([0,2,3],[1]) => True
[("0","00"),("00","0111"),("1000","0"),("1110","10")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0111"),("1000","01"),("1011","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0111"),("1001","0"),("1011","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0111"),("1001","0"),("11","1110")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0111"),("1001","0"),("110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0111"),("1001","0"),("1100","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0111"),("1001","0"),("1101","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0111"),("1001","0"),("111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0111"),("1001","00"),("1100","1")] => ([0,2,3],[1]) => True
[("0","00"),("00","0111"),("1001","000"),("1100","1")] => ([0,2,3],[1]) => True
[("0","00"),("00","0111"),("1001","0001"),("1100","1")] => ([0,2,3],[1]) => True
[("0","00"),("00","0111"),("1001","01"),("1011","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0111"),("1001","01"),("1100","1")] => ([0,2,3],[1]) => True
[("0","00"),("00","0111"),("1001","1"),("1011","0")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0111"),("1001","1"),("1011","00")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0111"),("1001","1"),("1011","01")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0111"),("1001","1"),("1011","10")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0111"),("1001","1"),("11","100")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0111"),("1001","1"),("11","101")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0111"),("1001","1"),("110","10")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0111"),("1001","1"),("1100","01")] => ([0,2,3],[1]) => True
[("0","00"),("00","0111"),("1001","1"),("1100","10")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0111"),("1001","1"),("1101","0")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0111"),("1001","1"),("1101","01")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0111"),("1001","1"),("1101","10")] => ([0,2,3],[1]) => True
[("0","00"),("00","0111"),("1001","1"),("111","0")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0111"),("1001","1"),("111","0010")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0111"),("1001","1"),("111","10")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0111"),("1001","1"),("111","101")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0111"),("1001","1"),("1110","01")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0111"),("1001","1"),("1110","10")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0111"),("1001","1"),("1110","101")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0111"),("1001","10"),("110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0111"),("1001","10"),("1100","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0111"),("1001","10"),("1101","1")] => ([0,2,3],[1]) => True
[("0","00"),("00","0111"),("1001","100"),("1100","1")] => ([0,2,3],[1]) => True
[("0","00"),("00","0111"),("1001","1000"),("1100","1")] => ([0,2,3],[1]) => True
[("0","00"),("00","0111"),("101","0"),("1011","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0111"),("101","0"),("110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0111"),("101","0"),("1100","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0111"),("101","0"),("1101","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0111"),("101","00"),("1100","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0111"),("101","000"),("1100","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0111"),("101","0001"),("1100","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0111"),("101","01"),("1011","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0111"),("101","01"),("1100","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0111"),("101","01"),("1101","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0111"),("101","1"),("1011","0")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0111"),("101","1"),("11","01")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0111"),("101","1"),("11","10")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0111"),("101","1"),("110","0")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0111"),("101","1"),("1100","0")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0111"),("101","1"),("1101","0")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0111"),("101","1"),("1101","01")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0111"),("101","1"),("111","0")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0111"),("101","1"),("111","01")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0111"),("101","1"),("111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0111"),("101","1"),("111","110")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0111"),("101","1"),("1110","01")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0111"),("101","1"),("1110","10")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0111"),("101","1"),("1111","0")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0111"),("101","1"),("1111","11")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0111"),("101","10"),("1100","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0111"),("101","1000"),("1100","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0111"),("101","11"),("1111","11")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0111"),("101","111"),("111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0111"),("101","111"),("1111","11")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0111"),("101","1111"),("1111","11")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0111"),("1010","0"),("1011","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0111"),("1010","0"),("1101","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0111"),("1010","01"),("1011","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0111"),("1010","01"),("1101","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0111"),("1010","01"),("111","01")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0111"),("1010","01"),("111","0101")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0111"),("1010","01"),("111","10")] => ([0,1,2],[3]) => True
[("0","00"),("00","0111"),("1010","01"),("111","1010")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0111"),("1010","01"),("1110","010")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0111"),("1010","01"),("1110","101")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0111"),("1010","1"),("1011","0")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0111"),("1010","1"),("1101","01")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0111"),("1010","1"),("111","0")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0111"),("1010","1"),("111","010")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0111"),("1010","1"),("111","0101")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0111"),("1010","1"),("1110","10")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0111"),("1010","10"),("11","10")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0111"),("1010","10"),("11","1010")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0111"),("1010","10"),("1110","10")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0111"),("1010","10"),("1110","1010")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0111"),("1011","0"),("1011","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0111"),("1011","0"),("110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0111"),("1011","0"),("1100","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0111"),("1011","0"),("1101","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0111"),("1011","00"),("1100","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0111"),("1011","000"),("1100","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0111"),("1011","0001"),("1100","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0111"),("1011","01"),("1011","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0111"),("1011","01"),("1100","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0111"),("1011","011"),("1011","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0111"),("1011","1"),("11","10")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0111"),("1011","1"),("11","101")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0111"),("1011","1"),("11","1110")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0111"),("1011","1"),("110","0")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0111"),("1011","1"),("110","01")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0111"),("1011","1"),("1100","0")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0111"),("1011","1"),("1100","01")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0111"),("1011","1"),("1101","0")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0111"),("1011","1"),("1101","01")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0111"),("1011","1"),("111","0")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0111"),("1011","1"),("111","01")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0111"),("1011","1"),("111","011")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0111"),("1011","1"),("111","10")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0111"),("1011","1"),("111","110")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0111"),("1011","1"),("111","1101")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0111"),("1011","1"),("111","1110")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0111"),("1011","1"),("1110","10")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0111"),("1011","1"),("1111","0")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0111"),("1011","1"),("1111","01")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0111"),("1011","1"),("1111","11")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0111"),("1011","10"),("110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0111"),("1011","10"),("1100","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0111"),("1011","10"),("1101","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0111"),("1011","10"),("1110","11")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0111"),("1011","100"),("1100","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0111"),("1011","1000"),("1100","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0111"),("1011","11"),("111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0111"),("1011","11"),("1110","10")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0111"),("1011","11"),("1111","11")] => ([0,3],[1,2]) => True
[("0","00"),("00","0111"),("1011","111"),("1111","11")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0111"),("1011","1111"),("111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0111"),("1011","1111"),("1111","11")] => ([0,3],[1,2]) => True
[("0","00"),("00","0111"),("11","0"),("110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0111"),("11","0"),("1100","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0111"),("11","0"),("1101","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0111"),("11","00"),("1100","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0111"),("11","000"),("1100","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0111"),("11","0001"),("1100","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0111"),("11","01"),("1100","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0111"),("11","01"),("1101","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0111"),("11","01"),("1101","11")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0111"),("11","011"),("1100","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0111"),("11","011"),("1101","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0111"),("11","0110"),("110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0111"),("11","0110"),("1100","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0111"),("11","10"),("1100","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0111"),("11","1000"),("1100","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0111"),("11","101"),("1101","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0111"),("11","1011"),("1101","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0111"),("11","110"),("1100","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0111"),("11","1100"),("1100","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0111"),("110","0"),("1101","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0111"),("110","01"),("1101","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0111"),("110","011"),("1101","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0111"),("110","1"),("1101","0")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0111"),("110","1"),("1101","01")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0111"),("110","1"),("1101","110")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0111"),("110","1"),("111","0")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0111"),("110","1"),("111","0110")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0111"),("110","1"),("111","10")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0111"),("110","1"),("111","101")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0111"),("110","1"),("1110","10")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0111"),("110","1"),("1110","101")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0111"),("110","1"),("1110","110")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0111"),("110","1"),("1111","0")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0111"),("110","1"),("1111","10")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0111"),("110","101"),("1101","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0111"),("1100","0"),("1101","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0111"),("1100","0"),("111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0111"),("1100","0"),("1110","11")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0111"),("1100","01"),("1101","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0111"),("1100","01"),("1110","110")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0111"),("1100","1"),("1101","0")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0111"),("1100","1"),("1101","00")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0111"),("1100","1"),("1101","000")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0111"),("1100","1"),("1101","0001")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0111"),("1100","1"),("1101","001")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0111"),("1100","1"),("1101","01")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0111"),("1100","1"),("1101","10")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0111"),("1100","1"),("1101","1000")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0111"),("1100","1"),("111","0")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0111"),("1100","1"),("111","00")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0111"),("1100","1"),("111","000")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0111"),("1100","1"),("111","0001")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0111"),("1100","1"),("111","0011")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0111"),("1100","1"),("111","01")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0111"),("1100","1"),("111","0110")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0111"),("1100","1"),("111","100")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0111"),("1100","1"),("111","1000")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0111"),("1100","1"),("111","1001")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0111"),("1100","1"),("111","110")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0111"),("1100","1"),("1110","011")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0111"),("1100","1"),("1110","0110")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0111"),("1100","1"),("1110","110")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0111"),("1100","1"),("1111","0")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0111"),("1100","1"),("1111","00")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0111"),("1100","1"),("1111","000")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0111"),("1100","1"),("1111","0001")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0111"),("1100","1"),("1111","01")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0111"),("1100","1"),("1111","011")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0111"),("1100","1"),("1111","0110")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0111"),("1100","1"),("1111","10")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0111"),("1100","1"),("1111","100")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0111"),("1100","1"),("1111","1000")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0111"),("1100","1"),("1111","110")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0111"),("1100","10"),("1101","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0111"),("1101","0"),("1101","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0111"),("1101","0"),("1110","11")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0111"),("1101","01"),("1101","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0111"),("1101","01"),("1101","11")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0111"),("1101","1"),("111","0")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0111"),("1101","1"),("111","01")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0111"),("1101","1"),("111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0111"),("1101","1"),("111","10")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0111"),("1101","1"),("111","101")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0111"),("1101","1"),("111","1011")] => ([0,1],[2,3]) => True
[("0","00"),("00","0111"),("1101","1"),("111","1110")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0111"),("1101","1"),("1110","01")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0111"),("1101","1"),("1110","10")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0111"),("1101","1"),("1110","101")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0111"),("1101","1"),("1110","110")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0111"),("1101","1"),("1111","0")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0111"),("1101","1"),("1111","10")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0111"),("1101","1"),("1111","11")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0111"),("1101","11"),("111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0111"),("1101","11"),("1111","11")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0111"),("1101","111"),("111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0111"),("1101","111"),("1111","11")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0111"),("1101","1111"),("111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0111"),("1101","1111"),("1111","11")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0111"),("1110","10"),("1110","11")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0111"),("1110","11"),("1111","10")] => ([0,1,2,3],[]) => False
[("0","00"),("00","0111"),("1110","11"),("1111","1011")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1001"),("00","11"),("1001","0")] => ([0,1,3],[2]) => True
[("0","00"),("00","1001"),("000","01"),("0111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1001"),("000","01"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1001"),("0000","01"),("0101","10")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1001"),("0000","01"),("0111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1001"),("0000","01"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1001"),("0000","010"),("0101","10")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1001"),("0001","0"),("0011","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1001"),("0001","0"),("0101","01")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1001"),("0001","0"),("0101","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1001"),("0001","0"),("0101","10")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1001"),("0001","0"),("011","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1001"),("0001","0"),("0110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1001"),("0001","0"),("0111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1001"),("0001","0"),("1","10")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1001"),("0001","0"),("1","1010")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1001"),("0001","0"),("1","1011")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1001"),("0001","0"),("1","110")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1001"),("0001","0"),("1","1100")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1001"),("0001","0"),("1","1101")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1001"),("0001","0"),("10","1100")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1001"),("0001","0"),("101","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1001"),("0001","0"),("1010","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1001"),("0001","0"),("1011","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1001"),("0001","0"),("1011","11")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1001"),("0001","0"),("11","10")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1001"),("0001","0"),("11","1110")] => ([0,2,3],[1]) => True
[("0","00"),("00","1001"),("0001","0"),("110","100")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1001"),("0001","0"),("110","1000")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1001"),("0001","0"),("1101","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1001"),("0001","0"),("111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1001"),("0001","0"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1001"),("0001","0"),("1111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1001"),("0001","00"),("1","010")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1001"),("0001","00"),("1","1011")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1001"),("0001","00"),("1","1100")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1001"),("0001","00"),("1","1101")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1001"),("0001","00"),("11","10")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1001"),("0001","000"),("0011","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1001"),("0001","0000"),("1100","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1001"),("0001","0011"),("0110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1001"),("0001","010"),("0101","10")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1001"),("0001","010"),("1010","01")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1001"),("0001","0101"),("0101","10")] => ([0,2,3],[1]) => True
[("0","00"),("00","1001"),("0001","0101"),("1010","01")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1001"),("0001","011"),("0011","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1001"),("0001","011"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1001"),("0001","10"),("0011","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1001"),("0001","10"),("0101","0")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1001"),("0001","10"),("0101","010")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1001"),("0001","10"),("0101","1")] => ([0,2,3],[1]) => True
[("0","00"),("00","1001"),("0001","10"),("0101","10")] => ([0,2,3],[1]) => True
[("0","00"),("00","1001"),("0001","10"),("011","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1001"),("0001","10"),("0111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1001"),("0001","10"),("101","1")] => ([0,2,3],[1]) => True
[("0","00"),("00","1001"),("0001","10"),("101","10")] => ([0,2,3],[1]) => True
[("0","00"),("00","1001"),("0001","10"),("1010","01")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1001"),("0001","10"),("1010","1")] => ([0,2,3],[1]) => True
[("0","00"),("00","1001"),("0001","10"),("1010","10")] => ([0,2,3],[1]) => True
[("0","00"),("00","1001"),("0001","10"),("1011","1")] => ([0,2,3],[1]) => True
[("0","00"),("00","1001"),("0001","10"),("110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1001"),("0001","10"),("1100","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1001"),("0001","10"),("1101","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1001"),("0001","10"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1001"),("0001","101"),("0101","10")] => ([0,2,3],[1]) => True
[("0","00"),("00","1001"),("0001","101"),("1010","01")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1001"),("0001","1010"),("0101","10")] => ([0,2,3],[1]) => True
[("0","00"),("00","1001"),("0001","1010"),("1010","01")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1001"),("0001","1010"),("1010","10")] => ([0,2,3],[1]) => True
[("0","00"),("00","1001"),("0001","11"),("0011","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1001"),("0001","11"),("1011","0")] => ([0,2,3],[1]) => True
[("0","00"),("00","1001"),("0001","11"),("111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1001"),("0001","11"),("1111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1001"),("0001","11"),("1111","11")] => ([0,3],[1,2]) => True
[("0","00"),("00","1001"),("0001","110"),("0110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1001"),("0001","110"),("0111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1001"),("0001","110"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1001"),("0001","1100"),("0011","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1001"),("0001","111"),("1111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1001"),("0001","1111"),("111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1001"),("0001","1111"),("1111","11")] => ([0,3],[1,2]) => True
[("0","00"),("00","1001"),("001","000"),("110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1001"),("001","000"),("1100","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1001"),("001","000"),("1100","10")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1001"),("001","0000"),("1100","10")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1001"),("001","0001"),("1100","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1001"),("001","010"),("0101","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1001"),("001","0100"),("110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1001"),("001","0100"),("1100","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1001"),("001","0100"),("1100","10")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1001"),("001","0101"),("1010","01")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1001"),("001","011"),("011","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1001"),("001","011"),("0110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1001"),("001","011"),("0111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1001"),("001","011"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1001"),("001","10"),("0011","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1001"),("001","10"),("0111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1001"),("001","10"),("1011","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1001"),("001","10"),("110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1001"),("001","10"),("1100","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1001"),("001","10"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1001"),("001","100"),("1100","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1001"),("001","1000"),("1100","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1001"),("001","101"),("0101","10")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1001"),("001","101"),("1010","01")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1001"),("001","11"),("0110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1001"),("001","11"),("0111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1001"),("001","110"),("0110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1001"),("0010","0"),("0011","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1001"),("0010","0"),("0101","10")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1001"),("0010","0"),("0101","100")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1001"),("0010","0"),("0101","1000")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1001"),("0010","0"),("0110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1001"),("0010","0"),("0111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1001"),("0010","0"),("1","1011")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1001"),("0010","0"),("1010","01")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1001"),("0010","0"),("1010","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1001"),("0010","0"),("1010","10")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1001"),("0010","0"),("1011","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1001"),("0010","0"),("110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1001"),("0010","0"),("1100","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1001"),("0010","0"),("1101","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1001"),("0010","0"),("111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1001"),("0010","0"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1001"),("0010","0"),("1111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1001"),("0010","000"),("0011","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1001"),("0010","000"),("0110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1001"),("0010","0001"),("0110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1001"),("0010","0011"),("0011","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1001"),("0010","0011"),("0111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1001"),("0010","0011"),("1100","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1001"),("0010","0100"),("0101","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1001"),("0010","0101"),("0101","10")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1001"),("0010","0101"),("1011","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1001"),("0010","011"),("0110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1001"),("0010","011"),("0111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1001"),("0010","011"),("111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1001"),("0010","0110"),("1101","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1001"),("0010","0111"),("1111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1001"),("0010","100"),("0011","01")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1001"),("0010","1000"),("0011","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1001"),("0010","101"),("0101","01")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1001"),("0010","101"),("0101","10")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1001"),("0010","101"),("0111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1001"),("0010","1010"),("1010","01")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1001"),("0010","11"),("0011","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1001"),("0010","11"),("0110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1001"),("0010","11"),("111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1001"),("0010","11"),("1111","11")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1001"),("0010","110"),("0011","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1001"),("0010","110"),("0111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1001"),("0010","110"),("1100","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1001"),("0010","1100"),("0110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1001"),("0010","1100"),("0111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1001"),("0010","111"),("1111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1001"),("0010","1111"),("111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1001"),("0010","1111"),("1111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1001"),("0010","1111"),("1111","11")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1001"),("0011","0"),("0011","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1001"),("0011","0"),("0101","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1001"),("0011","0"),("011","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1001"),("0011","0"),("0110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1001"),("0011","0"),("0111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1001"),("0011","0"),("101","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1001"),("0011","0"),("1010","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1001"),("0011","0"),("1011","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1001"),("0011","0"),("110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1001"),("0011","0"),("1100","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1001"),("0011","0"),("1101","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1001"),("0011","0"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1001"),("0011","00"),("0011","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1001"),("0011","00"),("1100","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1001"),("0011","000"),("0011","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1001"),("0011","000"),("1100","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1001"),("0011","0001"),("0011","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1001"),("0011","0001"),("1100","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1001"),("0011","001"),("0011","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1001"),("0011","01"),("0011","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1001"),("0011","01"),("01","1010")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1001"),("0011","01"),("011","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1001"),("0011","01"),("0110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1001"),("0011","01"),("0111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1001"),("0011","01"),("1","0011")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1001"),("0011","01"),("1","1011")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1001"),("0011","01"),("1","110")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1001"),("0011","01"),("1","1101")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1001"),("0011","01"),("10","000")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1001"),("0011","01"),("10","0000")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1001"),("0011","01"),("10","0010")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1001"),("0011","01"),("10","0100")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1001"),("0011","01"),("1001","0010")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1001"),("0011","01"),("1011","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1001"),("0011","01"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1001"),("0011","0110"),("0011","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1001"),("0011","0110"),("011","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1001"),("0011","0110"),("0110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1001"),("0011","0110"),("1100","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1001"),("0011","1"),("0011","10")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1001"),("0011","1"),("0011","100")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1001"),("0011","1"),("0011","1000")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1001"),("0011","1"),("0011","110")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1001"),("0011","1"),("01","011")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1001"),("0011","1"),("01","10")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1001"),("0011","1"),("01","1010")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1001"),("0011","1"),("010","0")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1001"),("0011","1"),("010","011")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1001"),("0011","1"),("010","11")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1001"),("0011","1"),("010","110")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1001"),("0011","1"),("0101","0")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1001"),("0011","1"),("0101","01")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1001"),("0011","1"),("0101","10")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1001"),("0011","1"),("011","0")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1001"),("0011","1"),("011","01")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1001"),("0011","1"),("011","0110")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1001"),("0011","1"),("011","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1001"),("0011","1"),("011","10")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1001"),("0011","1"),("011","110")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1001"),("0011","1"),("011","1100")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1001"),("0011","1"),("0110","0")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1001"),("0011","1"),("0110","01")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1001"),("0011","1"),("0110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1001"),("0011","1"),("0110","10")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1001"),("0011","1"),("0111","0")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1001"),("0011","1"),("0111","01")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1001"),("0011","1"),("0111","011")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1001"),("0011","1"),("0111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1001"),("0011","1"),("0111","10")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1001"),("0011","1"),("0111","11")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1001"),("0011","1"),("0111","1100")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1001"),("0011","1"),("1","000")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1001"),("0011","1"),("1","0000")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1001"),("0011","1"),("1","0001")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1001"),("0011","1"),("1","0010")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1001"),("0011","1"),("1","0011")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1001"),("0011","1"),("1","01")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1001"),("0011","1"),("1","010")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1001"),("0011","1"),("1","0100")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1001"),("0011","1"),("1","0101")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1001"),("0011","1"),("1","011")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1001"),("0011","1"),("1","0111")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1001"),("0011","1"),("1","10")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1001"),("0011","1"),("1","101")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1001"),("0011","1"),("1","1010")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1001"),("0011","1"),("1","1011")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1001"),("0011","1"),("1","110")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1001"),("0011","1"),("1","1110")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1001"),("0011","1"),("10","00")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1001"),("0011","1"),("10","000")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1001"),("0011","1"),("10","0000")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1001"),("0011","1"),("10","0010")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1001"),("0011","1"),("10","01")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1001"),("0011","1"),("10","010")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1001"),("0011","1"),("10","0100")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1001"),("0011","1"),("10","0101")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1001"),("0011","1"),("10","1000")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1001"),("0011","1"),("1001","0")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1001"),("0011","1"),("1001","00")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1001"),("0011","1"),("1001","000")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1001"),("0011","1"),("1001","0001")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1001"),("0011","1"),("1001","0010")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1001"),("0011","1"),("1001","01")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1001"),("0011","1"),("1001","10")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1001"),("0011","1"),("101","0")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1001"),("0011","1"),("101","10")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1001"),("0011","1"),("1010","0")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1001"),("0011","1"),("1010","10")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1001"),("0011","1"),("1011","0")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1001"),("0011","1"),("1011","01")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1001"),("0011","1"),("1011","0110")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1001"),("0011","1"),("1011","10")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1001"),("0011","1"),("11","0")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1001"),("0011","1"),("11","00")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1001"),("0011","1"),("11","000")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1001"),("0011","1"),("11","0001")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1001"),("0011","1"),("11","001")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1001"),("0011","1"),("11","01")] => ([0,1,2,3],[]) => False
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[("0","00"),("00","1001"),("0011","1"),("1111","1000")] => ([0,1,2,3],[]) => False
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[("0","00"),("00","1001"),("0011","10"),("110","1")] => ([0,1,2,3],[]) => False
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[("0","00"),("00","1001"),("0011","1100"),("0110","1")] => ([0,1,2,3],[]) => False
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[("0","00"),("00","1001"),("01","10"),("1010","1")] => ([0,1,2,3],[]) => False
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[("0","00"),("00","1001"),("01","1010"),("110","1")] => ([0,1,2,3],[]) => False
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[("0","00"),("00","1001"),("01","110"),("110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1001"),("01","110"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1001"),("01","1101"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1001"),("01","111"),("1111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1001"),("01","1111"),("111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1001"),("01","1111"),("1111","11")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1001"),("010","0"),("0101","10")] => ([0,1,2,3],[]) => False
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[("0","00"),("00","1001"),("010","0"),("0111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1001"),("010","0"),("1001","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1001"),("010","0"),("1001","101")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1001"),("010","0"),("101","1")] => ([0,1,2,3],[]) => False
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[("0","00"),("00","1001"),("010","0"),("111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1001"),("010","0"),("1111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1001"),("010","011"),("110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1001"),("010","011"),("1110","1")] => ([0,1,2,3],[]) => False
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[("0","00"),("00","1001"),("010","11"),("1111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1001"),("010","11"),("1111","11")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1001"),("010","111"),("111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1001"),("010","111"),("1111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1001"),("010","111"),("1111","11")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1001"),("010","1111"),("111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1001"),("010","1111"),("1111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1001"),("010","1111"),("1111","11")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1001"),("0101","0"),("0110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1001"),("0101","0"),("1001","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1001"),("0101","0"),("110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1001"),("0101","0"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1001"),("0101","01"),("0110","01")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1001"),("0101","01"),("0110","0101")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1001"),("0101","01"),("0110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1001"),("0101","01"),("1001","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1001"),("0101","01"),("110","01")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1001"),("0101","01"),("110","0101")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1001"),("0101","01"),("110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1001"),("0101","1"),("0110","0")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1001"),("0101","1"),("0110","01")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1001"),("0101","1"),("0110","010")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1001"),("0101","1"),("1","01")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1001"),("0101","1"),("1","0110")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1001"),("0101","1"),("1","0111")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1001"),("0101","1"),("1","10")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1001"),("0101","1"),("1001","0")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1001"),("0101","1"),("1010","01")] => ([0,2,3],[1]) => True
[("0","00"),("00","1001"),("0101","1"),("110","0")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1001"),("0101","10"),("0110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1001"),("0101","10"),("1","0100")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1001"),("0101","10"),("1","011")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1001"),("0101","10"),("1","0110")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1001"),("0101","10"),("1","0111")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1001"),("0101","10"),("1","101")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1001"),("0101","10"),("1001","0")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1001"),("0101","10"),("1001","0010")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1001"),("0101","10"),("1001","10")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1001"),("0101","10"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1001"),("011","0"),("0110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1001"),("011","0"),("110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1001"),("011","0"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1001"),("011","0011"),("0110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1001"),("011","01"),("0110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1001"),("011","01"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1001"),("011","0110"),("0110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1001"),("011","1"),("0110","0")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1001"),("011","1"),("0110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1001"),("011","1"),("0110","10")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1001"),("011","1"),("1","0")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1001"),("011","1"),("1","000")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1001"),("011","1"),("1","0000")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1001"),("011","1"),("1","0010")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1001"),("011","1"),("1","010")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1001"),("011","1"),("1","0100")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1001"),("011","1"),("1","0101")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1001"),("011","1"),("1","10")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1001"),("011","1"),("1","1001")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1001"),("011","1"),("1","1010")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1001"),("011","1"),("1","1011")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1001"),("011","1"),("1","1100")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1001"),("011","1"),("1001","0")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1001"),("011","1"),("1001","0010")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1001"),("011","1"),("1110","0")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1001"),("011","1"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1001"),("011","10"),("0110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1001"),("011","10"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1001"),("011","110"),("0110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1001"),("0110","0"),("0110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1001"),("0110","0"),("0111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1001"),("0110","0"),("1001","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1001"),("0110","0"),("1001","11")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1001"),("0110","0"),("1011","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1001"),("0110","0"),("111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1001"),("0110","0"),("1111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1001"),("0110","0"),("1111","11")] => ([0,2,3],[1]) => True
[("0","00"),("00","1001"),("0110","00"),("0110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1001"),("0110","000"),("0110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1001"),("0110","0001"),("0110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1001"),("0110","001"),("0110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1001"),("0110","01"),("0110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1001"),("0110","01"),("0110","10")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1001"),("0110","01"),("0111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1001"),("0110","01"),("1011","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1001"),("0110","01"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1001"),("0110","010"),("1001","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1001"),("0110","010"),("101","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1001"),("0110","1"),("0111","0")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1001"),("0110","1"),("0111","0001")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1001"),("0110","1"),("0111","0011")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1001"),("0110","1"),("0111","01")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1001"),("0110","1"),("0111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1001"),("0110","1"),("0111","10")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1001"),("0110","1"),("0111","101")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1001"),("0110","1"),("0111","11")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1001"),("0110","1"),("0111","110")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1001"),("0110","1"),("1","0")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1001"),("0110","1"),("1","0011")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1001"),("0110","1"),("1","0101")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1001"),("0110","1"),("1","011")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1001"),("0110","1"),("1","1011")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1001"),("0110","1"),("1001","0")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1001"),("0110","1"),("101","0")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1001"),("0110","1"),("101","01")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1001"),("0110","1"),("1011","0")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1001"),("0110","1"),("1011","01")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1001"),("0110","1"),("1011","011")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1001"),("0110","1"),("1011","10")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1001"),("0110","1"),("11","0")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1001"),("0110","1"),("11","01")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1001"),("0110","1"),("11","011")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1001"),("0110","1"),("111","0")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1001"),("0110","1"),("111","01")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1001"),("0110","1"),("111","011")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1001"),("0110","1"),("111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1001"),("0110","1"),("111","101")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1001"),("0110","1"),("1111","0")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1001"),("0110","1"),("1111","01")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1001"),("0110","1"),("1111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1001"),("0110","1"),("1111","101")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1001"),("0110","1"),("1111","11")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1001"),("0110","101"),("0111","1")] => ([0,1,2,3],[]) => False
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[("0","00"),("00","1001"),("0110","1111"),("1111","11")] => ([0,2,3],[1]) => True
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[("0","00"),("00","1001"),("0111","1"),("1","110")] => ([0,1,2,3],[]) => False
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[("0","00"),("00","1001"),("0111","1"),("11","011")] => ([0,1,2,3],[]) => False
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[("0","00"),("00","1001"),("0111","11"),("1","110")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1001"),("0111","11"),("1","1100")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1001"),("1","01"),("1011","1")] => ([0,1,2,3],[]) => False
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[("0","00"),("00","1001"),("1","011"),("1101","1")] => ([0,1,2,3],[]) => False
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[("0","00"),("00","1001"),("1001","0"),("1001","11")] => ([0,1,2],[3]) => True
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[("0","00"),("00","1001"),("1001","0"),("101","11")] => ([0,1,2],[3]) => True
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[("0","00"),("00","1001"),("1001","0"),("11","0111")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1001"),("1001","00"),("1001","11")] => ([0,1,2],[3]) => True
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[("0","00"),("00","1001"),("1001","01"),("1101","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1001"),("1011","1"),("11","1110")] => ([0,1,2,3],[]) => False
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[("0","00"),("00","101"),("0000","01"),("0111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","101"),("0000","01"),("1110","1")] => ([0,1,2,3],[]) => False
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[("0","00"),("00","101"),("0001","0"),("0101","1000")] => ([0,1,2,3],[]) => False
[("0","00"),("00","101"),("0001","0"),("011","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","101"),("0001","0"),("0110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","101"),("0001","0"),("0111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","101"),("0001","0"),("1","0111")] => ([0,1,2,3],[]) => False
[("0","00"),("00","101"),("0001","0"),("1","110")] => ([0,1,2,3],[]) => False
[("0","00"),("00","101"),("0001","0"),("1","1101")] => ([0,1,2,3],[]) => False
[("0","00"),("00","101"),("0001","0"),("1001","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","101"),("0001","0"),("1011","11")] => ([0,1,2,3],[]) => False
[("0","00"),("00","101"),("0001","0"),("110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","101"),("0001","0"),("1100","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","101"),("0001","0"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","101"),("0001","00"),("0110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","101"),("0001","00"),("1","110")] => ([0,1,2,3],[]) => False
[("0","00"),("00","101"),("0001","00"),("1","1100")] => ([0,1,2,3],[]) => False
[("0","00"),("00","101"),("0001","00"),("1","1101")] => ([0,1,2,3],[]) => False
[("0","00"),("00","101"),("0001","000"),("0110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","101"),("0001","000"),("0111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","101"),("0001","000"),("1001","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","101"),("0001","000"),("1100","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","101"),("0001","000"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","101"),("0001","0010"),("1001","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","101"),("0001","0011"),("0110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","101"),("0001","011"),("0111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","101"),("0001","10"),("0101","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","101"),("0001","10"),("0111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","101"),("0001","10"),("1001","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","101"),("0001","10"),("110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","101"),("0001","10"),("1100","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","101"),("0001","10"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","101"),("0001","1000"),("0110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","101"),("0001","1000"),("1100","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","101"),("0001","11"),("111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","101"),("0001","11"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","101"),("0001","11"),("1111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","101"),("0001","110"),("0110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","101"),("0001","110"),("0111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","101"),("0001","1111"),("1111","11")] => ([0,3],[1,2]) => True
[("0","00"),("00","101"),("001","0"),("0101","100")] => ([0,1,2,3],[]) => False
[("0","00"),("00","101"),("001","0"),("0110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","101"),("001","0"),("0111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","101"),("001","0"),("1","1100")] => ([0,1,2,3],[]) => False
[("0","00"),("00","101"),("001","0"),("1","1101")] => ([0,1,2,3],[]) => False
[("0","00"),("00","101"),("001","0"),("1001","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","101"),("001","0"),("1100","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","101"),("001","0"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","101"),("001","00"),("1001","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","101"),("001","00"),("1100","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","101"),("001","000"),("0110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","101"),("001","0010"),("1001","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","101"),("001","011"),("0111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","101"),("001","0110"),("011","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","101"),("001","0110"),("1100","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","101"),("001","10"),("0110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","101"),("001","10"),("0111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","101"),("001","10"),("1001","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","101"),("001","10"),("1100","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","101"),("001","10"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","101"),("001","100"),("1100","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","101"),("001","1000"),("0110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","101"),("001","1000"),("1001","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","101"),("001","1000"),("1100","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","101"),("001","11"),("0110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","101"),("001","11"),("1111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","101"),("001","11"),("1111","11")] => ([0,3],[1,2]) => True
[("0","00"),("00","101"),("001","110"),("0110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","101"),("001","110"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","101"),("001","1100"),("1100","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","101"),("001","1110"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","101"),("001","1111"),("111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","101"),("001","1111"),("1111","11")] => ([0,3],[1,2]) => True
[("0","00"),("00","101"),("0010","0"),("011","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","101"),("0010","0"),("0111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","101"),("0010","0"),("1","1011")] => ([0,1,2,3],[]) => False
[("0","00"),("00","101"),("0010","0"),("1001","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","101"),("0010","0"),("1010","001")] => ([0,1,2,3],[]) => False
[("0","00"),("00","101"),("0010","0"),("1010","100")] => ([0,1,2,3],[]) => False
[("0","00"),("00","101"),("0010","0"),("1010","1000")] => ([0,1,2,3],[]) => False
[("0","00"),("00","101"),("0010","0"),("11","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","101"),("0010","0"),("110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","101"),("0010","0"),("1100","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","101"),("0010","0"),("1101","100")] => ([0,1,2,3],[]) => False
[("0","00"),("00","101"),("0010","0"),("111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","101"),("0010","0"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","101"),("0010","0"),("1111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","101"),("0010","00"),("1100","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","101"),("0010","000"),("1100","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","101"),("0010","000"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","101"),("0010","0100"),("1001","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","101"),("0010","011"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","101"),("0010","0111"),("1111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","101"),("0010","1000"),("1100","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","101"),("0010","101"),("0111","1")] => ([0,2,3],[1]) => True
[("0","00"),("00","101"),("0010","11"),("111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","101"),("0010","11"),("1111","11")] => ([0,3],[1,2]) => True
[("0","00"),("00","101"),("0010","110"),("1100","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","101"),("0010","110"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","101"),("0010","111"),("1111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","101"),("0010","1111"),("111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","101"),("0010","1111"),("1111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","101"),("0010","1111"),("1111","11")] => ([0,3],[1,2]) => True
[("0","00"),("00","101"),("0011","0"),("0101","011")] => ([0,1,2,3],[]) => False
[("0","00"),("00","101"),("0011","0"),("011","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","101"),("0011","0"),("0110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","101"),("0011","0"),("1001","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","101"),("0011","0"),("1010","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","101"),("0011","0"),("110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","101"),("0011","0"),("1100","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","101"),("0011","0"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","101"),("0011","00"),("1001","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","101"),("0011","000"),("0110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","101"),("0011","0001"),("0110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","101"),("0011","01"),("0101","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","101"),("0011","01"),("0110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","101"),("0011","01"),("1","110")] => ([0,1,2,3],[]) => False
[("0","00"),("00","101"),("0011","01"),("1","1100")] => ([0,1,2,3],[]) => False
[("0","00"),("00","101"),("0011","01"),("1","1110")] => ([0,1,2,3],[]) => False
[("0","00"),("00","101"),("0011","01"),("1001","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","101"),("0011","01"),("101","11")] => ([0,1,2,3],[]) => False
[("0","00"),("00","101"),("0011","01"),("1100","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","101"),("0011","01"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","101"),("0011","010"),("0101","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","101"),("0011","010"),("1010","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","101"),("0011","1"),("01","0")] => ([0,1,2,3],[]) => False
[("0","00"),("00","101"),("0011","1"),("01","0001")] => ([0,1,2,3],[]) => False
[("0","00"),("00","101"),("0011","1"),("01","011")] => ([0,1,2,3],[]) => False
[("0","00"),("00","101"),("0011","1"),("010","0")] => ([0,1,2,3],[]) => False
[("0","00"),("00","101"),("0011","1"),("010","0001")] => ([0,1,2,3],[]) => False
[("0","00"),("00","101"),("0011","1"),("010","110")] => ([0,1,2,3],[]) => False
[("0","00"),("00","101"),("0011","1"),("011","0")] => ([0,1,2,3],[]) => False
[("0","00"),("00","101"),("0011","1"),("011","00")] => ([0,1,2,3],[]) => False
[("0","00"),("00","101"),("0011","1"),("011","0001")] => ([0,1,2,3],[]) => False
[("0","00"),("00","101"),("0011","1"),("011","001")] => ([0,1,2,3],[]) => False
[("0","00"),("00","101"),("0011","1"),("011","0110")] => ([0,1,2,3],[]) => False
[("0","00"),("00","101"),("0011","1"),("011","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","101"),("0011","1"),("011","10")] => ([0,1,2,3],[]) => False
[("0","00"),("00","101"),("0011","1"),("011","1100")] => ([0,1,2,3],[]) => False
[("0","00"),("00","101"),("0011","1"),("0110","0")] => ([0,1,2,3],[]) => False
[("0","00"),("00","101"),("0011","1"),("0110","000")] => ([0,1,2,3],[]) => False
[("0","00"),("00","101"),("0011","1"),("0110","0001")] => ([0,1,2,3],[]) => False
[("0","00"),("00","101"),("0011","1"),("0110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","101"),("0011","1"),("0110","10")] => ([0,1,2,3],[]) => False
[("0","00"),("00","101"),("0011","1"),("1","0001")] => ([0,1,2,3],[]) => False
[("0","00"),("00","101"),("0011","1"),("1","001")] => ([0,1,2,3],[]) => False
[("0","00"),("00","101"),("0011","1"),("1","01")] => ([0,1,2,3],[]) => False
[("0","00"),("00","101"),("0011","1"),("1","0110")] => ([0,1,2,3],[]) => False
[("0","00"),("00","101"),("0011","1"),("1","110")] => ([0,1,2,3],[]) => False
[("0","00"),("00","101"),("0011","1"),("1","1110")] => ([0,1,2,3],[]) => False
[("0","00"),("00","101"),("0011","1"),("10","0")] => ([0,1,2,3],[]) => False
[("0","00"),("00","101"),("0011","1"),("10","0001")] => ([0,1,2,3],[]) => False
[("0","00"),("00","101"),("0011","1"),("10","01")] => ([0,1,2,3],[]) => False
[("0","00"),("00","101"),("0011","1"),("10","011")] => ([0,1,2,3],[]) => False
[("0","00"),("00","101"),("0011","1"),("10","1100")] => ([0,1,2,3],[]) => False
[("0","00"),("00","101"),("0011","1"),("1001","0")] => ([0,1,2,3],[]) => False
[("0","00"),("00","101"),("0011","1"),("1001","000")] => ([0,1,2,3],[]) => False
[("0","00"),("00","101"),("0011","1"),("1001","0001")] => ([0,1,2,3],[]) => False
[("0","00"),("00","101"),("0011","1"),("1001","001")] => ([0,1,2,3],[]) => False
[("0","00"),("00","101"),("0011","1"),("1001","01")] => ([0,1,2,3],[]) => False
[("0","00"),("00","101"),("0011","1"),("1001","0110")] => ([0,1,2,3],[]) => False
[("0","00"),("00","101"),("0011","1"),("1001","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","101"),("0011","1"),("1001","10")] => ([0,1,2,3],[]) => False
[("0","00"),("00","101"),("0011","1"),("101","0")] => ([0,1,2,3],[]) => False
[("0","00"),("00","101"),("0011","1"),("101","00")] => ([0,1,2,3],[]) => False
[("0","00"),("00","101"),("0011","1"),("101","0001")] => ([0,1,2,3],[]) => False
[("0","00"),("00","101"),("0011","1"),("101","01")] => ([0,1,2,3],[]) => False
[("0","00"),("00","101"),("0011","1"),("101","10")] => ([0,1,2,3],[]) => False
[("0","00"),("00","101"),("0011","1"),("1010","000")] => ([0,1,2,3],[]) => False
[("0","00"),("00","101"),("0011","1"),("1011","0")] => ([0,1,2,3],[]) => False
[("0","00"),("00","101"),("0011","1"),("1011","00")] => ([0,1,2,3],[]) => False
[("0","00"),("00","101"),("0011","1"),("1011","000")] => ([0,1,2,3],[]) => False
[("0","00"),("00","101"),("0011","1"),("1011","0001")] => ([0,1,2,3],[]) => False
[("0","00"),("00","101"),("0011","1"),("1011","001")] => ([0,1,2,3],[]) => False
[("0","00"),("00","101"),("0011","1"),("1011","01")] => ([0,1,2,3],[]) => False
[("0","00"),("00","101"),("0011","1"),("1011","0110")] => ([0,1,2,3],[]) => False
[("0","00"),("00","101"),("0011","1"),("1011","10")] => ([0,1,2,3],[]) => False
[("0","00"),("00","101"),("0011","1"),("11","0")] => ([0,1,2,3],[]) => False
[("0","00"),("00","101"),("0011","1"),("11","0001")] => ([0,1,2,3],[]) => False
[("0","00"),("00","101"),("0011","1"),("11","01")] => ([0,1,2,3],[]) => False
[("0","00"),("00","101"),("0011","1"),("11","011")] => ([0,1,2,3],[]) => False
[("0","00"),("00","101"),("0011","1"),("11","0110")] => ([0,1,2,3],[]) => False
[("0","00"),("00","101"),("0011","1"),("11","110")] => ([0,1,2,3],[]) => False
[("0","00"),("00","101"),("0011","1"),("110","0")] => ([0,1,2,3],[]) => False
[("0","00"),("00","101"),("0011","1"),("110","01")] => ([0,1,2,3],[]) => False
[("0","00"),("00","101"),("0011","1"),("110","0110")] => ([0,1,2,3],[]) => False
[("0","00"),("00","101"),("0011","1"),("110","10")] => ([0,1,2,3],[]) => False
[("0","00"),("00","101"),("0011","1"),("1100","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","101"),("0011","1"),("1101","0")] => ([0,1,2,3],[]) => False
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[("0","00"),("00","101"),("0011","10"),("1001","1")] => ([0,1,2,3],[]) => False
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[("0","00"),("00","101"),("0011","10"),("1011","11")] => ([0,1,2,3],[]) => False
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[("0","00"),("00","101"),("0011","1000"),("1001","1")] => ([0,1,2,3],[]) => False
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[("0","00"),("00","101"),("01","10"),("1001","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","101"),("01","1000"),("0110","1")] => ([0,1,2,3],[]) => False
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[("0","00"),("00","101"),("01","110"),("0111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","101"),("01","110"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","101"),("01","1101"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","101"),("010","0"),("0111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","101"),("010","0"),("1001","101")] => ([0,1,2,3],[]) => False
[("0","00"),("00","101"),("010","0"),("1111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","101"),("010","011"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","101"),("010","0110"),("011","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","101"),("010","111"),("1111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","101"),("010","1111"),("1111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","101"),("0101","000"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","101"),("0101","011"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","101"),("0101","0110"),("1001","01")] => ([0,1,2,3],[]) => False
[("0","00"),("00","101"),("0101","0111"),("1101","01")] => ([0,1,2,3],[]) => False
[("0","00"),("00","101"),("0101","1"),("011","0")] => ([0,1,2,3],[]) => False
[("0","00"),("00","101"),("0101","1"),("011","01")] => ([0,1,2,3],[]) => False
[("0","00"),("00","101"),("0101","1"),("011","010")] => ([0,1,2,3],[]) => False
[("0","00"),("00","101"),("0101","1"),("011","10")] => ([0,1,2,3],[]) => False
[("0","00"),("00","101"),("0101","1"),("0110","010")] => ([0,1,2,3],[]) => False
[("0","00"),("00","101"),("0101","1"),("0110","10")] => ([0,1,2,3],[]) => False
[("0","00"),("00","101"),("0101","1"),("0111","0")] => ([0,1,2,3],[]) => False
[("0","00"),("00","101"),("0101","1"),("0111","01")] => ([0,1,2,3],[]) => False
[("0","00"),("00","101"),("0101","1"),("0111","010")] => ([0,1,2,3],[]) => False
[("0","00"),("00","101"),("0101","1"),("0111","10")] => ([0,1,2,3],[]) => False
[("0","00"),("00","101"),("0101","1"),("1","0110")] => ([0,1,2,3],[]) => False
[("0","00"),("00","101"),("0101","1"),("1001","10")] => ([0,1,2,3],[]) => False
[("0","00"),("00","101"),("0101","1"),("1011","01")] => ([0,1,2,3],[]) => False
[("0","00"),("00","101"),("0101","1"),("11","01")] => ([0,1,2,3],[]) => False
[("0","00"),("00","101"),("0101","1"),("11","010")] => ([0,1,2,3],[]) => False
[("0","00"),("00","101"),("0101","1"),("11","10")] => ([0,1,2,3],[]) => False
[("0","00"),("00","101"),("0101","1"),("110","0")] => ([0,1,2,3],[]) => False
[("0","00"),("00","101"),("0101","1"),("110","01")] => ([0,1,2,3],[]) => False
[("0","00"),("00","101"),("0101","1"),("1101","01")] => ([0,1,2,3],[]) => False
[("0","00"),("00","101"),("0101","1"),("1101","10")] => ([0,1,2,3],[]) => False
[("0","00"),("00","101"),("0101","1"),("111","0")] => ([0,1,2,3],[]) => False
[("0","00"),("00","101"),("0101","1"),("111","01")] => ([0,1,2,3],[]) => False
[("0","00"),("00","101"),("0101","1"),("111","010")] => ([0,1,2,3],[]) => False
[("0","00"),("00","101"),("0101","1"),("111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","101"),("0101","1"),("111","10")] => ([0,1,2,3],[]) => False
[("0","00"),("00","101"),("0101","1"),("111","1010")] => ([0,1,2,3],[]) => False
[("0","00"),("00","101"),("0101","1"),("1110","0")] => ([0,1,2,3],[]) => False
[("0","00"),("00","101"),("0101","1"),("1110","01")] => ([0,1,2,3],[]) => False
[("0","00"),("00","101"),("0101","1"),("1110","10")] => ([0,1,2,3],[]) => False
[("0","00"),("00","101"),("0101","1"),("1111","0")] => ([0,1,2,3],[]) => False
[("0","00"),("00","101"),("0101","1"),("1111","01")] => ([0,1,2,3],[]) => False
[("0","00"),("00","101"),("0101","1"),("1111","010")] => ([0,1,2,3],[]) => False
[("0","00"),("00","101"),("0101","1"),("1111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","101"),("0101","1"),("1111","10")] => ([0,1,2,3],[]) => False
[("0","00"),("00","101"),("0101","1"),("1111","1010")] => ([0,1,2,3],[]) => False
[("0","00"),("00","101"),("0101","1"),("1111","11")] => ([0,1,3],[2]) => True
[("0","00"),("00","101"),("0101","11"),("011","0")] => ([0,1,2,3],[]) => False
[("0","00"),("00","101"),("0101","11"),("1111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","101"),("0101","110"),("0110","0")] => ([0,1,2,3],[]) => False
[("0","00"),("00","101"),("0101","110"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","101"),("0101","111"),("0111","0")] => ([0,1,2,3],[]) => False
[("0","00"),("00","101"),("0101","111"),("111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","101"),("0101","111"),("1111","11")] => ([0,1,3],[2]) => True
[("0","00"),("00","101"),("0101","1111"),("1111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","101"),("011","0"),("0110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","101"),("011","0"),("0111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","101"),("011","0"),("1001","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","101"),("011","0"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","101"),("011","00"),("0110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","101"),("011","00"),("1001","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","101"),("011","000"),("0110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","101"),("011","0001"),("0110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","101"),("011","0010"),("1001","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","101"),("011","0011"),("0110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","101"),("011","01"),("0110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","101"),("011","01"),("0111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","101"),("011","01"),("1001","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","101"),("011","0110"),("011","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","101"),("011","0110"),("0110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","101"),("011","1"),("0110","0")] => ([0,1,2,3],[]) => False
[("0","00"),("00","101"),("011","1"),("0110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","101"),("011","1"),("0110","10")] => ([0,1,2,3],[]) => False
[("0","00"),("00","101"),("011","1"),("0111","0")] => ([0,1,2,3],[]) => False
[("0","00"),("00","101"),("011","1"),("0111","01")] => ([0,1,2,3],[]) => False
[("0","00"),("00","101"),("011","1"),("0111","0110")] => ([0,1,2,3],[]) => False
[("0","00"),("00","101"),("011","1"),("0111","10")] => ([0,1,2,3],[]) => False
[("0","00"),("00","101"),("011","1"),("0111","101")] => ([0,2,3],[1]) => True
[("0","00"),("00","101"),("011","1"),("1","1110")] => ([0,1,2,3],[]) => False
[("0","00"),("00","101"),("011","1"),("1001","0")] => ([0,1,2,3],[]) => False
[("0","00"),("00","101"),("011","1"),("1001","01")] => ([0,1,2,3],[]) => False
[("0","00"),("00","101"),("011","1"),("1011","0")] => ([0,1,2,3],[]) => False
[("0","00"),("00","101"),("011","1"),("1011","01")] => ([0,1,2,3],[]) => False
[("0","00"),("00","101"),("011","1"),("1011","0110")] => ([0,1,2,3],[]) => False
[("0","00"),("00","101"),("011","1"),("1011","110")] => ([0,1,2,3],[]) => False
[("0","00"),("00","101"),("011","1"),("1101","0")] => ([0,1,2,3],[]) => False
[("0","00"),("00","101"),("011","1"),("1101","01")] => ([0,1,2,3],[]) => False
[("0","00"),("00","101"),("011","1"),("1101","011")] => ([0,1,2,3],[]) => False
[("0","00"),("00","101"),("011","1"),("1110","0")] => ([0,1,2,3],[]) => False
[("0","00"),("00","101"),("011","1"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","101"),("011","1"),("1110","11")] => ([0,1,2,3],[]) => False
[("0","00"),("00","101"),("011","1"),("1111","0")] => ([0,1,2,3],[]) => False
[("0","00"),("00","101"),("011","1"),("1111","01")] => ([0,1,2,3],[]) => False
[("0","00"),("00","101"),("011","1"),("1111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","101"),("011","1"),("1111","11")] => ([0,1,2,3],[]) => False
[("0","00"),("00","101"),("011","1"),("1111","111")] => ([0,1,2,3],[]) => False
[("0","00"),("00","101"),("011","10"),("0111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","101"),("011","10"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","101"),("011","100"),("0110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","101"),("011","100"),("1001","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","101"),("011","1000"),("0110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","101"),("011","110"),("0111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","101"),("011","111"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","101"),("011","111"),("1111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","101"),("011","111"),("1111","11")] => ([0,1,2,3],[]) => False
[("0","00"),("00","101"),("011","1111"),("1111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","101"),("0110","0"),("0111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","101"),("0110","0"),("1001","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","101"),("0110","0"),("101","11")] => ([0,1,2,3],[]) => False
[("0","00"),("00","101"),("0110","0"),("11","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","101"),("0110","0"),("111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","101"),("0110","0"),("1111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","101"),("0110","0"),("1111","11")] => ([0,2,3],[1]) => True
[("0","00"),("00","101"),("0110","000"),("0111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","101"),("0110","0010"),("1001","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","101"),("0110","01"),("0111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","101"),("0110","01"),("101","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","101"),("0110","01"),("11","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","101"),("0110","01"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","101"),("0110","010"),("1001","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","101"),("0110","1"),("0111","0")] => ([0,1,2,3],[]) => False
[("0","00"),("00","101"),("0110","1"),("0111","00")] => ([0,1,2,3],[]) => False
[("0","00"),("00","101"),("0110","1"),("0111","000")] => ([0,1,2,3],[]) => False
[("0","00"),("00","101"),("0110","1"),("0111","0001")] => ([0,1,2,3],[]) => False
[("0","00"),("00","101"),("0110","1"),("0111","0011")] => ([0,1,2,3],[]) => False
[("0","00"),("00","101"),("0110","1"),("0111","0110")] => ([0,1,2,3],[]) => False
[("0","00"),("00","101"),("0110","1"),("0111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","101"),("0110","1"),("0111","100")] => ([0,1,2,3],[]) => False
[("0","00"),("00","101"),("0110","1"),("1","0")] => ([0,1,2,3],[]) => False
[("0","00"),("00","101"),("0110","1"),("1","0011")] => ([0,1,2,3],[]) => False
[("0","00"),("00","101"),("0110","1"),("1","01")] => ([0,1,2,3],[]) => False
[("0","00"),("00","101"),("0110","1"),("1","0101")] => ([0,1,2,3],[]) => False
[("0","00"),("00","101"),("0110","1"),("1","011")] => ([0,1,2,3],[]) => False
[("0","00"),("00","101"),("0110","1"),("1","1011")] => ([0,1,2,3],[]) => False
[("0","00"),("00","101"),("0110","1"),("1001","0")] => ([0,1,2,3],[]) => False
[("0","00"),("00","101"),("0110","1"),("1001","000")] => ([0,1,2,3],[]) => False
[("0","00"),("00","101"),("0110","1"),("1001","0001")] => ([0,1,2,3],[]) => False
[("0","00"),("00","101"),("0110","1"),("1001","01")] => ([0,1,2,3],[]) => False
[("0","00"),("00","101"),("0110","1"),("1001","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","101"),("0110","1"),("101","0")] => ([0,1,2,3],[]) => False
[("0","00"),("00","101"),("0110","1"),("101","011")] => ([0,1,2,3],[]) => False
[("0","00"),("00","101"),("0110","1"),("1011","0")] => ([0,1,2,3],[]) => False
[("0","00"),("00","101"),("0110","1"),("1011","0110")] => ([0,1,2,3],[]) => False
[("0","00"),("00","101"),("0110","1"),("1011","10")] => ([0,1,2,3],[]) => False
[("0","00"),("00","101"),("0110","1"),("1011","11")] => ([0,1,2,3],[]) => False
[("0","00"),("00","101"),("0110","1"),("1011","110")] => ([0,1,2,3],[]) => False
[("0","00"),("00","101"),("0110","1"),("11","0")] => ([0,1,2,3],[]) => False
[("0","00"),("00","101"),("0110","1"),("11","00")] => ([0,1,2,3],[]) => False
[("0","00"),("00","101"),("0110","1"),("11","000")] => ([0,1,2,3],[]) => False
[("0","00"),("00","101"),("0110","1"),("11","0001")] => ([0,1,2,3],[]) => False
[("0","00"),("00","101"),("0110","1"),("11","01")] => ([0,1,2,3],[]) => False
[("0","00"),("00","101"),("0110","1"),("111","0")] => ([0,1,2,3],[]) => False
[("0","00"),("00","101"),("0110","1"),("111","00")] => ([0,1,2,3],[]) => False
[("0","00"),("00","101"),("0110","1"),("111","000")] => ([0,1,2,3],[]) => False
[("0","00"),("00","101"),("0110","1"),("111","0001")] => ([0,1,2,3],[]) => False
[("0","00"),("00","101"),("0110","1"),("111","01")] => ([0,1,2,3],[]) => False
[("0","00"),("00","101"),("0110","1"),("111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","101"),("0110","1"),("111","101")] => ([0,1,2,3],[]) => False
[("0","00"),("00","101"),("0110","1"),("111","11")] => ([0,1,2,3],[]) => False
[("0","00"),("00","101"),("0110","1"),("1111","0")] => ([0,1,2,3],[]) => False
[("0","00"),("00","101"),("0110","1"),("1111","00")] => ([0,1,2,3],[]) => False
[("0","00"),("00","101"),("0110","1"),("1111","000")] => ([0,1,2,3],[]) => False
[("0","00"),("00","101"),("0110","1"),("1111","0001")] => ([0,1,2,3],[]) => False
[("0","00"),("00","101"),("0110","1"),("1111","01")] => ([0,1,2,3],[]) => False
[("0","00"),("00","101"),("0110","1"),("1111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","101"),("0110","1"),("1111","11")] => ([0,1,2,3],[]) => False
[("0","00"),("00","101"),("0110","1"),("1111","111")] => ([0,1,2,3],[]) => False
[("0","00"),("00","101"),("0110","101"),("0111","1")] => ([0,2,3],[1]) => True
[("0","00"),("00","101"),("0110","1011"),("1110","1")] => ([0,2,3],[1]) => True
[("0","00"),("00","101"),("0110","111"),("11","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","101"),("0110","111"),("111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","101"),("0110","111"),("111","11")] => ([0,1,2,3],[]) => False
[("0","00"),("00","101"),("0110","111"),("1111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","101"),("0110","111"),("1111","11")] => ([0,1,2,3],[]) => False
[("0","00"),("00","101"),("0110","111"),("1111","111")] => ([0,1,2,3],[]) => False
[("0","00"),("00","101"),("0110","1111"),("11","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","101"),("0110","1111"),("111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","101"),("0110","1111"),("111","11")] => ([0,1,2,3],[]) => False
[("0","00"),("00","101"),("0110","1111"),("1111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","101"),("0110","1111"),("1111","11")] => ([0,2,3],[1]) => True
[("0","00"),("00","101"),("0110","1111"),("1111","111")] => ([0,1,2,3],[]) => False
[("0","00"),("00","101"),("0111","0"),("1001","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","101"),("0111","00"),("1001","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","101"),("0111","0010"),("1001","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","101"),("0111","01"),("1001","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","101"),("0111","01"),("1101","11")] => ([0,1,2,3],[]) => False
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[("0","00"),("00","101"),("1001","01"),("101","1")] => ([0,1,2,3],[]) => False
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[("0","00"),("00","101"),("1001","1"),("11","101")] => ([0,1,2,3],[]) => False
[("0","00"),("00","101"),("1001","1"),("111","0")] => ([0,1,2,3],[]) => False
[("0","00"),("00","101"),("1001","1"),("111","00")] => ([0,1,2,3],[]) => False
[("0","00"),("00","101"),("1001","1"),("111","01")] => ([0,1,2,3],[]) => False
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[("0","00"),("00","101"),("1001","1"),("111","101")] => ([0,1,2,3],[]) => False
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[("0","00"),("00","101"),("1001","1"),("1111","01")] => ([0,1,2,3],[]) => False
[("0","00"),("00","101"),("1001","1"),("1111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","101"),("1001","1"),("1111","101")] => ([0,1,2,3],[]) => False
[("0","00"),("00","101"),("1001","1"),("1111","11")] => ([0,1,2,3],[]) => False
[("0","00"),("00","101"),("1001","1"),("1111","111")] => ([0,1,2,3],[]) => False
[("0","00"),("00","101"),("1001","11"),("101","0")] => ([0,1,3],[2]) => True
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[("0","00"),("00","101"),("1001","11"),("111","11")] => ([0,1,2,3],[]) => False
[("0","00"),("00","101"),("1001","11"),("1111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","101"),("1001","11"),("1111","11")] => ([0,3],[1,2]) => True
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[("0","00"),("00","101"),("1001","111"),("11","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","101"),("1001","111"),("111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","101"),("1001","111"),("111","11")] => ([0,1,2,3],[]) => False
[("0","00"),("00","101"),("1001","111"),("1111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","101"),("1001","111"),("1111","11")] => ([0,1,2,3],[]) => False
[("0","00"),("00","101"),("1001","111"),("1111","111")] => ([0,1,2,3],[]) => False
[("0","00"),("00","101"),("1001","1111"),("11","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","101"),("1001","1111"),("111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","101"),("1001","1111"),("111","11")] => ([0,1,2,3],[]) => False
[("0","00"),("00","101"),("1001","1111"),("1111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","101"),("1001","1111"),("1111","11")] => ([0,3],[1,2]) => True
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[("0","00"),("00","101"),("1011","11"),("111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","101"),("1011","11"),("1111","0")] => ([0,1,2,3],[]) => False
[("0","00"),("00","101"),("1011","11"),("1111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","101"),("1011","11"),("1111","10")] => ([0,1,2,3],[]) => False
[("0","00"),("00","101"),("1011","11"),("1111","11")] => ([0,3],[1,2]) => True
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[("0","00"),("00","101"),("1011","111"),("1111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","101"),("1011","1111"),("111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","101"),("1011","1111"),("1111","11")] => ([0,3],[1,2]) => True
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[("0","00"),("00","1011"),("000","01"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("0000","0001"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("0000","01"),("0111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("0000","01"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("0001","0"),("011","0100")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("0001","0"),("0111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("0001","0"),("101","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("0001","0"),("1011","11")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("0001","0"),("11","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("0001","0"),("11","1110")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("0001","0"),("1100","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("0001","0"),("1101","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("0001","0"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("0001","00"),("11","1110")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("0001","000"),("0110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("0001","000"),("1100","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("0001","0011"),("0110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("0001","0110"),("011","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("0001","10"),("011","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("0001","10"),("0110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("0001","10"),("101","1")] => ([0,2,3],[1]) => True
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[("0","00"),("00","1011"),("0001","10"),("110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("0001","10"),("1100","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("0001","10"),("1101","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("0001","10"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("0001","1000"),("0110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("0001","1000"),("1100","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("0001","11"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("0001","11"),("1111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("0001","110"),("011","0")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("0001","110"),("0110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("0001","110"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("001","0"),("011","10")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("001","0"),("0111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("001","0"),("101","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("001","0"),("11","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("001","0"),("11","1110")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("001","0"),("1100","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("001","0"),("1101","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("001","0"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("001","00"),("1100","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("001","000"),("0110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("001","000"),("1100","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("001","0001"),("1100","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("001","011"),("011","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("001","011"),("0110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("001","011"),("0111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("001","0110"),("011","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("001","0110"),("1100","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("001","10"),("0110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("001","10"),("110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("001","10"),("1100","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("001","10"),("1101","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("001","10"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("001","1000"),("0110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("001","1000"),("1100","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("001","11"),("011","0")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("001","11"),("0110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("001","11"),("111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("001","11"),("1111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("001","11"),("1111","11")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("001","110"),("0110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("001","111"),("1111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("001","1110"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("001","1111"),("1111","11")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("0010","0"),("011","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("0010","0"),("0111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("0010","0"),("1","1010")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("0010","0"),("101","01")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("0010","0"),("1011","01")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("0010","0"),("11","100")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("0010","0"),("111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("0010","0"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("0010","0"),("1111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("0010","000"),("1100","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("0010","0011"),("1100","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("0010","011"),("111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("0010","0110"),("110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("0010","1000"),("1100","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("0010","101"),("0111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("0010","11"),("1111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("0010","110"),("1100","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("0010","111"),("111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("0010","111"),("1111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("0010","111"),("1111","11")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("0011","0"),("0111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("0011","0"),("101","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("0011","0"),("11","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("0011","0"),("110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("0011","0"),("1100","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("0011","0"),("1101","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("0011","0"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("0011","00"),("1100","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("0011","000"),("0110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("0011","000"),("1100","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("0011","0001"),("0110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("0011","0001"),("1100","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("0011","01"),("011","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("0011","01"),("0110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("0011","01"),("0111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("0011","01"),("1","1110")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("0011","01"),("1100","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("0011","01"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("0011","0110"),("1100","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("0011","1"),("011","0")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("0011","1"),("011","0001")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("0011","1"),("011","0110")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("0011","1"),("011","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("0011","1"),("011","10")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("0011","1"),("011","1100")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("0011","1"),("0110","0")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("0011","1"),("0110","000")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("0011","1"),("0110","0001")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("0011","1"),("0110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("0011","1"),("0110","10")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("0011","1"),("0111","0")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("0011","1"),("0111","00")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("0011","1"),("0111","000")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("0011","1"),("0111","0001")] => ([0,1,2,3],[]) => False
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[("0","00"),("00","1011"),("0011","1"),("1","110")] => ([0,1,2,3],[]) => False
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[("0","00"),("00","1011"),("0011","1"),("11","01")] => ([0,1,2,3],[]) => False
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[("0","00"),("00","1011"),("0011","1"),("1100","0")] => ([0,1,2,3],[]) => False
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[("0","00"),("00","1011"),("0011","1"),("1100","0001")] => ([0,1,2,3],[]) => False
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[("0","00"),("00","1011"),("0011","1"),("1100","01")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("0011","1"),("1100","011")] => ([0,1,2,3],[]) => False
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[("0","00"),("00","1011"),("0011","1"),("1100","10")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("0011","1"),("1101","0")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("0011","1"),("1101","01")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("0011","1"),("1101","10")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("0011","1"),("111","0")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("0011","1"),("111","0001")] => ([0,1,2,3],[]) => False
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[("0","00"),("00","1011"),("0011","1"),("111","011")] => ([0,1,2,3],[]) => False
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[("0","00"),("00","1011"),("0011","1"),("111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("0011","1"),("111","11")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("0011","1"),("111","110")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("0011","1"),("1110","0")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("0011","1"),("1110","0001")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("0011","1"),("1110","01")] => ([0,1,2,3],[]) => False
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[("0","00"),("00","1011"),("0011","1"),("1110","10")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("0011","1"),("1110","110")] => ([0,1,2,3],[]) => False
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[("0","00"),("00","1011"),("0011","10"),("101","1")] => ([0,2,3],[1]) => True
[("0","00"),("00","1011"),("0011","10"),("1100","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("0011","10"),("1101","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("0011","10"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("0011","1000"),("1100","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("0011","101"),("0111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("0011","1011"),("0111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("0011","110"),("1100","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("0011","111"),("111","1")] => ([0,1,2,3],[]) => False
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[("0","00"),("00","1011"),("01","0"),("101","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("01","0"),("1010","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("01","0"),("1011","11")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("01","0"),("1100","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("01","0"),("1101","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("01","0"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("01","000"),("0110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("01","000"),("1100","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("01","0001"),("1100","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("01","0010"),("1001","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("01","0011"),("1100","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("01","10"),("0110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("01","10"),("1001","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("01","10"),("101","1")] => ([0,2,3],[1]) => True
[("0","00"),("00","1011"),("01","10"),("1010","1")] => ([0,2,3],[1]) => True
[("0","00"),("00","1011"),("01","10"),("1011","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("01","10"),("110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("01","10"),("1100","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("01","10"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("01","1000"),("0110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("01","1000"),("1100","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("01","101"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("01","1010"),("011","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("01","1010"),("1010","10")] => ([0,2,3],[1]) => True
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[("0","00"),("00","1011"),("01","11"),("111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("01","11"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("01","11"),("1111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("01","11"),("1111","11")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("01","110"),("0110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("01","110"),("110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("01","110"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("01","1101"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("01","111"),("1111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("01","1111"),("1111","11")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("010","0"),("011","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("010","0"),("0111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("010","0"),("1011","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("010","0"),("111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("010","0"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("010","0"),("1111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("010","000"),("1100","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("010","011"),("110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("010","011"),("1100","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("010","011"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("010","0110"),("110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("010","1000"),("1100","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("010","11"),("1100","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("010","11"),("1111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("010","110"),("0111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("010","110"),("1100","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("010","111"),("111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("010","111"),("1111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("010","1110"),("0111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("0100","0"),("011","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("0100","0"),("0111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("0100","0"),("1011","10")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("0100","0"),("110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("0100","0"),("1101","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("0100","0"),("111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("0100","0"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("0100","0001"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("0100","011"),("0111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("0100","101"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("0101","0"),("011","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("0101","0"),("0110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("0101","0"),("0111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("0101","0"),("1001","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("0101","0"),("11","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("0101","0"),("1100","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("0101","0"),("1101","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("0101","0"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("0101","000"),("1100","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("0101","01"),("0110","1")] => ([0,2,3],[1]) => True
[("0","00"),("00","1011"),("0101","01"),("0111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("0101","01"),("10","01")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("0101","01"),("10","0101")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("0101","01"),("1000","01")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("0101","01"),("1000","0101")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("0101","01"),("1010","0101")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("0101","01"),("11","01")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("0101","01"),("11","0101")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("0101","01"),("110","01")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("0101","01"),("110","0101")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("0101","01"),("110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("0101","01"),("1100","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("0101","01"),("111","01")] => ([0,2],[1,3]) => True
[("0","00"),("00","1011"),("0101","01"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("0101","1"),("0111","0")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("0101","1"),("1","01")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("0101","1"),("1","010")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("0101","1"),("1","0110")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("0101","1"),("1","0111")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("0101","1"),("100","01")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("0101","1"),("1000","01")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("0101","1"),("1001","0")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("0101","1"),("101","0")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("0101","1"),("101","01")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("0101","1"),("1010","0")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("0101","1"),("1010","01")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("0101","1"),("1011","0")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("0101","1"),("1011","10")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("0101","1"),("11","01")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("0101","1"),("11","1010")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("0101","1"),("110","01")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("0101","1"),("110","10")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("0101","1"),("1100","01")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("0101","1"),("1101","0")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("0101","1"),("1101","10")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("0101","1"),("111","0")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("0101","1"),("1110","0")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("0101","1"),("1111","0")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("0101","1"),("1111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("0101","10"),("0110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("0101","10"),("0111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("0101","10"),("1","0")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("0101","10"),("1","01")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("0101","10"),("1","0101")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("0101","10"),("1","101")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("0101","10"),("1","110")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("0101","10"),("1","1100")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("0101","10"),("1","1101")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("0101","10"),("1","1110")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("0101","10"),("10","0")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("0101","10"),("10","01")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("0101","10"),("100","0")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("0101","10"),("100","01")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("0101","10"),("100","0101")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("0101","10"),("100","101")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("0101","10"),("1000","01")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("0101","10"),("1000","0101")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("0101","10"),("1000","101")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("0101","10"),("1010","1")] => ([0,2,3],[1]) => True
[("0","00"),("00","1011"),("0101","10"),("1011","10")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("0101","10"),("1011","1010")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("0101","10"),("11","0")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("0101","10"),("11","01")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("0101","10"),("11","010")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("0101","10"),("11","0101")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("0101","10"),("11","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("0101","10"),("11","101")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("0101","10"),("11","1110")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("0101","10"),("110","0")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("0101","10"),("110","01")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("0101","10"),("110","010")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("0101","10"),("110","0101")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("0101","10"),("110","101")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("0101","10"),("1100","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("0101","10"),("1100","10")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("0101","10"),("1100","1010")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("0101","10"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("0101","11"),("1111","11")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("0101","111"),("1111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("0101","1111"),("1111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("0101","1111"),("1111","11")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("011","0"),("0111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("011","0"),("1001","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("011","0"),("1010","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("011","0"),("110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("011","0"),("1100","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("011","0"),("1101","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("011","0"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("011","00"),("0110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("011","000"),("0110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("011","000"),("1100","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("011","0001"),("0110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("011","0001"),("1100","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("011","0001"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("011","0010"),("1001","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("011","0011"),("0110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("011","01"),("0110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("011","01"),("1100","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("011","01"),("1101","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("011","01"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("011","010"),("1001","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("011","010"),("101","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("011","0110"),("0110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("011","0110"),("1100","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("011","0111"),("0111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("011","0111"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("011","1"),("0110","0")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("011","1"),("0110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("011","1"),("0110","10")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("011","1"),("0110","101")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("011","1"),("0111","011")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("011","1"),("0111","0110")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("011","1"),("0111","10")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("011","1"),("10","0")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("011","1"),("10","01")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("011","1"),("100","0")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("011","1"),("1000","0")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("011","1"),("1000","01")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("011","1"),("1001","0")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("011","1"),("1001","01")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("011","1"),("101","0")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("011","1"),("1010","0")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("011","1"),("1010","01")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("011","1"),("1010","10")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("011","1"),("1011","0")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("011","1"),("11","0")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("011","1"),("11","01")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("011","1"),("110","0")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("011","1"),("110","01")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("011","1"),("1100","0")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("011","1"),("1100","01")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("011","1"),("1100","011")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("011","1"),("1100","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("011","1"),("1101","0")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("011","1"),("1101","01")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("011","1"),("111","0")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("011","1"),("111","01")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("011","1"),("111","011")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("011","1"),("1110","0")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("011","1"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("011","1"),("1110","11")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("011","1"),("1111","0")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("011","1"),("1111","01")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("011","1"),("1111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("011","10"),("0111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("011","10"),("1011","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("011","10"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("011","100"),("1001","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("011","1000"),("0110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("011","1000"),("1100","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("011","101"),("1011","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("011","101"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("011","110"),("1011","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("011","111"),("1111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("011","1111"),("1111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("0110","0"),("0111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("0110","0"),("1001","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("0110","0"),("1011","11")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("0110","0"),("1101","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("0110","0"),("111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("0110","0"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("0110","0"),("1111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("0110","0"),("1111","11")] => ([0,2,3],[1]) => True
[("0","00"),("00","1011"),("0110","000"),("0111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("0110","000"),("1100","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("0110","0001"),("0111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("0110","0001"),("1100","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("0110","0001"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("0110","01"),("0111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("0110","01"),("1001","10")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("0110","01"),("110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("0110","01"),("1100","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("0110","01"),("111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("0110","01"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("0110","0111"),("0111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("0110","0111"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("0110","1"),("0111","0")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("0110","1"),("0111","00")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("0110","1"),("0111","000")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("0110","1"),("0111","0001")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("0110","1"),("0111","001")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("0110","1"),("0111","0011")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("0110","1"),("0111","011")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("0110","1"),("0111","0110")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("0110","1"),("0111","1000")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("0110","1"),("1","0011")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("0110","1"),("1","0101")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("0110","1"),("1","011")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("0110","1"),("1","10")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("0110","1"),("1","1010")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("0110","1"),("1","1011")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("0110","1"),("1","110")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("0110","1"),("1","1100")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("0110","1"),("1","1101")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("0110","1"),("1001","0")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("0110","1"),("1001","0001")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("0110","1"),("1001","01")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("0110","1"),("1001","011")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("0110","1"),("1001","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("0110","1"),("101","0")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("0110","1"),("101","10")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("0110","1"),("1011","0")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("0110","1"),("1011","011")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("0110","1"),("1011","110")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("0110","1"),("11","0")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("0110","1"),("11","01")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("0110","1"),("11","011")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("0110","1"),("110","0")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("0110","1"),("110","000")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("0110","1"),("110","0001")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("0110","1"),("110","0110")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("0110","1"),("110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("0110","1"),("110","10")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("0110","1"),("110","1000")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("0110","1"),("110","1100")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("0110","1"),("1100","0")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("0110","1"),("1100","000")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("0110","1"),("1100","0001")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("0110","1"),("1100","011")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("0110","1"),("1100","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("0110","1"),("1100","10")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("0110","1"),("1101","0")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("0110","1"),("1101","01")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("0110","1"),("1101","10")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("0110","1"),("111","0")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("0110","1"),("111","000")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("0110","1"),("111","0001")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("0110","1"),("111","01")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("0110","1"),("111","011")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("0110","1"),("111","10")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("0110","1"),("1110","0")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("0110","1"),("1110","00")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("0110","1"),("1110","000")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("0110","1"),("1110","0001")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("0110","1"),("1110","001")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("0110","1"),("1110","0110")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("0110","1"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("0110","1"),("1110","10")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("0110","1"),("1110","1000")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("0110","1"),("1110","1100")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("0110","1"),("1111","0")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("0110","1"),("1111","00")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("0110","1"),("1111","000")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("0110","1"),("1111","0001")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("0110","1"),("1111","0011")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("0110","1"),("1111","01")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("0110","1"),("1111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("0110","1"),("1111","10")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("0110","1"),("1111","1000")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("0110","1"),("1111","101")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("0110","10"),("0111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("0110","10"),("1011","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("0110","10"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("0110","1000"),("0111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("0110","101"),("0111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("0110","101"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("0110","1011"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("0110","1100"),("1100","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("0110","1101"),("0111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("0110","111"),("1111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("0110","1111"),("111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("0110","1111"),("1111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("0110","1111"),("1111","11")] => ([0,2,3],[1]) => True
[("0","00"),("00","1011"),("0111","0"),("0111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("0111","0"),("1001","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("0111","0"),("101","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("0111","0"),("1010","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("0111","0"),("1011","11")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("0111","0"),("110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("0111","0"),("1100","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("0111","0"),("1101","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("0111","0"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("0111","00"),("1001","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("0111","0001"),("1100","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("0111","0010"),("1001","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("0111","01"),("0111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("0111","01"),("1001","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("0111","01"),("110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("0111","01"),("1100","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("0111","01"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("0111","0100"),("1001","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("0111","011"),("0111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("0111","011"),("1100","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("0111","1"),("0111","10")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("0111","1"),("0111","101")] => ([0,2,3],[1]) => True
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[("0","00"),("00","1011"),("0111","1"),("1","01")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("0111","1"),("1","011")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("0111","1"),("1","0111")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("0111","1"),("1","110")] => ([0,1,2,3],[]) => False
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[("0","00"),("00","1011"),("0111","1"),("10","0001")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("0111","1"),("10","01")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("0111","1"),("10","101")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("0111","1"),("10","11")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("0111","1"),("100","0")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("0111","1"),("100","0001")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("0111","1"),("100","01")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("0111","1"),("1000","0")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("0111","1"),("1000","000")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("0111","1"),("1000","0001")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("0111","1"),("1000","01")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("0111","1"),("1000","11")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("0111","1"),("1001","0")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("0111","1"),("1001","01")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("0111","1"),("1001","011")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("0111","1"),("1001","10")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("0111","1"),("1001","101")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("0111","1"),("101","0")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("0111","1"),("101","01")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("0111","1"),("101","10")] => ([0,1,2,3],[]) => False
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[("0","00"),("00","1011"),("0111","1"),("1010","01")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("0111","1"),("1010","10")] => ([0,1,2,3],[]) => False
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[("0","00"),("00","1011"),("0111","1"),("1011","10")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("0111","1"),("1011","110")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("0111","1"),("11","0")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("0111","1"),("11","000")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("0111","1"),("11","0001")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("0111","1"),("11","01")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("0111","1"),("11","10")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("0111","1"),("11","101")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("0111","1"),("11","1011")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("0111","1"),("110","0")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("0111","1"),("110","000")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("0111","1"),("110","0001")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("0111","1"),("110","01")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("0111","1"),("110","0111")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("0111","1"),("110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("0111","1"),("110","10")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("0111","1"),("110","100")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("0111","1"),("110","1001")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("0111","1"),("110","101")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("0111","1"),("110","1011")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("0111","1"),("1100","0")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("0111","1"),("1100","000")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("0111","1"),("1100","0001")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("0111","1"),("1100","01")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("0111","1"),("1100","0111")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("0111","1"),("1100","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("0111","1"),("1100","10")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("0111","1"),("1101","0")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("0111","1"),("1101","01")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("0111","1"),("1101","10")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("0111","1"),("111","0")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("0111","1"),("111","01")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("0111","1"),("111","011")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("0111","1"),("111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("0111","1"),("111","10")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("0111","1"),("111","101")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("0111","1"),("111","1011")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("0111","1"),("111","11")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("0111","1"),("1110","0")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("0111","1"),("1110","01")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("0111","1"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("0111","1"),("1110","10")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("0111","1"),("1110","101")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("0111","1"),("1110","11")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("0111","1"),("1111","0")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("0111","1"),("1111","01")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("0111","1"),("1111","011")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("0111","1"),("1111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("0111","1"),("1111","10")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("0111","1"),("1111","101")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("0111","1"),("1111","1011")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("0111","1"),("1111","11")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("0111","1"),("1111","111")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("0111","10"),("1100","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("0111","10"),("1101","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("0111","10"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("0111","100"),("1001","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("0111","101"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("0111","11"),("1100","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("0111","11"),("111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("0111","11"),("111","11")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("0111","11"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("0111","11"),("1111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("0111","11"),("1111","11")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("0111","11"),("1111","111")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("0111","110"),("1011","1")] => ([0,1,3],[2]) => True
[("0","00"),("00","1011"),("0111","1100"),("1100","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("0111","1111"),("111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("0111","1111"),("1111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("0111","1111"),("1111","11")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("1","0"),("1001","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("1","0"),("1010","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("1","0"),("1100","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("1","0"),("1101","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("1","0"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("1","00"),("1001","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("1","00"),("1100","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("1","000"),("1100","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("1","000"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("1","0001"),("1100","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("1","0001"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("1","01"),("1001","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("1","01"),("1010","01")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("1","01"),("1010","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("1","01"),("1100","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("1","01"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("1","010"),("1010","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("1","0101"),("1010","01")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("1","011"),("100","0")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("1","011"),("1000","0")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("1","011"),("1000","00")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("1","011"),("1001","0")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("1","011"),("1100","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("1","011"),("1100","10")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("1","011"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("1","0110"),("1000","0")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("1","0110"),("1010","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("1","0111"),("1001","0")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("1","0111"),("1100","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("1","10"),("1001","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("1","10"),("1010","01")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("1","10"),("1010","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("1","10"),("1100","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("1","10"),("1101","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("1","100"),("1100","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("1","1000"),("1100","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("1","101"),("1010","01")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("1","101"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("1","1010"),("1010","01")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("1","110"),("1101","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("1","110"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("1","1110"),("1010","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("10","0"),("1100","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("10","0"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("10","000"),("1100","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("10","01"),("101","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("10","01"),("1011","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("10","01"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("10","0101"),("1110","11")] => ([0,2,3],[1]) => True
[("0","00"),("00","1011"),("10","011"),("1100","0")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("10","1000"),("1100","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("10","11"),("1101","0")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("10","11"),("1110","10")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("10","11"),("1111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("10","110"),("1100","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("10","111"),("1111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("100","0"),("110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("100","0"),("1101","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("100","0"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("100","01"),("101","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("100","01"),("110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("100","01"),("1101","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("100","01"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("100","1000"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("100","11"),("111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("100","11"),("1111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("100","11"),("1111","11")] => ([0,3],[1,2]) => True
[("0","00"),("00","1011"),("100","110"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("100","111"),("1111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("100","1111"),("111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("100","1111"),("1111","11")] => ([0,3],[1,2]) => True
[("0","00"),("00","1011"),("1000","0"),("101","0010")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("1000","0"),("110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("1000","0"),("1101","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("1000","0"),("1101","11")] => ([0,2,3],[1]) => True
[("0","00"),("00","1011"),("1000","0"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("1000","01"),("1011","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("1000","01"),("110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("1000","01"),("1101","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("1000","01"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("1000","011"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("1000","1111"),("111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("1001","0"),("101","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("1001","0"),("1011","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("1001","0"),("110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("1001","0"),("1100","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("1001","0"),("1101","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("1001","0"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("1001","00"),("1100","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("1001","0001"),("1100","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("1001","001"),("1100","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("1001","01"),("1011","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("1001","01"),("110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("1001","01"),("1100","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("1001","01"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("1001","0110"),("110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("1001","0110"),("1100","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("1001","1"),("101","0")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("1001","1"),("1011","0")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("1001","1"),("1011","00")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("1001","1"),("1011","0010")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("1001","1"),("1011","0100")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("1001","1"),("11","0")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("1001","1"),("11","0100")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("1001","1"),("11","10")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("1001","1"),("11","101")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("1001","1"),("110","0")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("1001","1"),("110","01")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("1001","1"),("110","10")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("1001","1"),("1100","01")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("1001","1"),("1100","10")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("1001","1"),("1101","0")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("1001","1"),("1101","00")] => ([0,1,2,3],[]) => False
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[("0","00"),("00","1011"),("1001","1"),("1111","10")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("1001","1"),("1111","101")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("1001","1"),("1111","11")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("1001","1"),("1111","111")] => ([0,1,2,3],[]) => False
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[("0","00"),("00","1011"),("1001","10"),("110","1")] => ([0,1,2,3],[]) => False
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[("0","00"),("00","1011"),("1001","1000"),("1100","1")] => ([0,1,2,3],[]) => False
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[("0","00"),("00","1011"),("1001","11"),("1111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("1001","11"),("1111","11")] => ([0,3],[1,2]) => True
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[("0","00"),("00","1011"),("1001","111"),("11","1")] => ([0,1,2,3],[]) => False
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[("0","00"),("00","1011"),("1001","111"),("111","11")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("1001","111"),("1111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("1001","111"),("1111","11")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("1001","111"),("1111","111")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("1001","1111"),("111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("1001","1111"),("111","11")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("1001","1111"),("1111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("1001","1111"),("1111","11")] => ([0,3],[1,2]) => True
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[("0","00"),("00","1011"),("101","0"),("110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("101","0"),("1100","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("101","0"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("101","000"),("1100","1")] => ([0,1,2,3],[]) => False
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[("0","00"),("00","1011"),("101","01"),("1100","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("101","01"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("101","011"),("1011","1")] => ([0,1],[2,3]) => True
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[("0","00"),("00","1011"),("101","1"),("1011","0")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("101","1"),("11","0")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("101","1"),("11","01")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("101","1"),("11","011")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("101","1"),("11","110")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("101","1"),("110","10")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("101","1"),("1100","01")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("101","1"),("1101","0")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("101","1"),("1101","10")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("101","1"),("1101","101")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("101","1"),("1101","110")] => ([0,2,3],[1]) => True
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[("0","00"),("00","1011"),("101","1"),("111","011")] => ([0],[1,2,3]) => True
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[("0","00"),("00","1011"),("101","1"),("1111","0")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("101","1"),("1111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("101","1"),("1111","110")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("101","10"),("1100","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("101","10"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("101","1000"),("1100","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("101","11"),("111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("101","11"),("1111","11")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("101","111"),("1111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("101","1111"),("111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("101","1111"),("1111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("101","1111"),("1111","11")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("1010","0"),("1011","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("1010","0"),("110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("1010","0"),("1100","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("1010","0"),("1101","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("1010","0"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("1010","01"),("1011","01")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("1010","01"),("1011","0101")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("1010","01"),("1100","1")] => ([0,2,3],[1]) => True
[("0","00"),("00","1011"),("1010","01"),("1101","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("1010","01"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("1010","1"),("1011","0")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("1010","1"),("1011","01")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("1010","1"),("11","010")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("1010","1"),("11","0101")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("1010","1"),("1100","01")] => ([0,2,3],[1]) => True
[("0","00"),("00","1011"),("1010","1"),("1101","0")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("1010","1"),("1101","01")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("1010","1"),("111","0")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("1010","1"),("111","010")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("1010","1"),("1110","0")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("1010","10"),("1011","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("1010","10"),("1100","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("1010","10"),("1101","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("1010","10"),("111","10")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("1010","10"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("1010","10"),("1110","10")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("1010","10"),("1110","1010")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("1011","0"),("1011","111")] => ([0,1,2],[3]) => True
[("0","00"),("00","1011"),("1011","0"),("110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("1011","0"),("1100","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("1011","0"),("1101","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("1011","0"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("1011","00"),("1100","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("1011","000"),("1100","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("1011","0001"),("1100","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("1011","01"),("1011","11")] => ([0,1],[2,3]) => True
[("0","00"),("00","1011"),("1011","01"),("1100","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("1011","01"),("1101","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("1011","01"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("1011","1"),("1011","110")] => ([0,1],[2,3]) => True
[("0","00"),("00","1011"),("1011","1"),("1101","011")] => ([0,1],[2,3]) => True
[("0","00"),("00","1011"),("1011","10"),("1100","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("1011","10"),("1101","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("1011","1000"),("1100","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("1011","11"),("1101","0")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("11","0"),("110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("11","0"),("1100","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("11","0"),("1101","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("11","0"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("11","00"),("1100","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("11","000"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("11","0001"),("1100","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("11","0001"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("11","01"),("1100","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("11","01"),("1101","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("11","01"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("11","011"),("110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("11","011"),("1100","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("11","011"),("1101","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("11","0110"),("1100","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("11","0111"),("1101","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("11","10"),("1100","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("11","10"),("1101","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("11","10"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("11","10"),("1110","11")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("11","100"),("1100","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("11","1000"),("1100","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("11","1000"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("11","101"),("1101","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("11","101"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("11","1011"),("1101","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("11","110"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("11","1101"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("110","0"),("110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("110","0"),("1100","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("110","0"),("1101","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("110","0"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("110","00"),("1100","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("110","000"),("1100","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("110","0001"),("1100","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("110","001"),("1100","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("110","0011"),("1100","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("110","01"),("1100","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("110","01"),("1101","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("110","01"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("110","011"),("1100","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("110","011"),("1101","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("110","0110"),("1100","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("110","0111"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("110","1"),("1100","0")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("110","1"),("1100","0110")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("110","1"),("1100","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("110","1"),("1100","10")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("110","1"),("1100","101")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("110","1"),("1101","0")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("110","1"),("1101","01")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("110","1"),("1101","011")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("110","1"),("1101","10")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("110","1"),("1101","101")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("110","1"),("111","0")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("110","1"),("111","01")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("110","1"),("111","011")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("110","1"),("111","0110")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("110","1"),("111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("110","1"),("111","10")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("110","1"),("111","101")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("110","1"),("1110","01")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("110","1"),("1110","011")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("110","1"),("1110","0110")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("110","1"),("1110","10")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("110","1"),("1111","0")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("110","1"),("1111","011")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("110","1"),("1111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("110","1"),("1111","10")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("110","1"),("1111","11")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("110","10"),("1101","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("110","10"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("110","1000"),("1100","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("110","111"),("111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("110","111"),("1111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("110","1111"),("1111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("1100","0"),("1101","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("1100","0"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("1100","000"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("1100","0001"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("1100","01"),("1101","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("1100","01"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("1100","1"),("1101","0")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("1100","1"),("1101","00")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("1100","1"),("1101","000")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("1100","1"),("1101","0001")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("1100","1"),("1101","01")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("1100","1"),("1101","10")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("1100","1"),("1101","100")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("1100","1"),("1101","1000")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("1100","1"),("111","0")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("1100","1"),("111","0011")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("1100","1"),("111","01")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("1100","1"),("111","011")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("1100","1"),("111","0110")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("1100","1"),("111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("1100","1"),("111","10")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("1100","1"),("111","100")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("1100","1"),("111","11")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("1100","1"),("111","110")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("1100","1"),("1110","0")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("1100","1"),("1110","00")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("1100","1"),("1110","000")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("1100","1"),("1110","0001")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("1100","1"),("1110","001")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("1100","1"),("1110","0011")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("1100","1"),("1110","01")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("1100","1"),("1110","011")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("1100","1"),("1110","1000")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("1100","1"),("1111","0")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("1100","1"),("1111","0001")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("1100","1"),("1111","0011")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("1100","1"),("1111","011")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("1100","1"),("1111","0110")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("1100","1"),("1111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("1100","1"),("1111","10")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("1100","1"),("1111","11")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("1100","1"),("1111","110")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("1100","1"),("1111","111")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("1100","10"),("1101","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("1100","10"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("1100","1000"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("1100","101"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("1100","1101"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("1100","111"),("111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("1100","111"),("1111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("1100","111"),("1111","11")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("1100","1111"),("1111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("1101","0"),("1101","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("1101","0"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("1101","01"),("1101","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("1101","01"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("1101","1"),("1101","10")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("1101","1"),("1101","101")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("1101","1"),("111","0")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("1101","1"),("111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("1101","1"),("111","10")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("1101","1"),("111","11")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("1101","1"),("1110","0")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("1101","1"),("1110","10")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("1101","1"),("1111","0")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("1101","1"),("1111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("1101","1"),("1111","10")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("1101","1"),("1111","11")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("1101","1"),("1111","111")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("1101","10"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("1101","101"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("1101","11"),("111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("1101","11"),("111","11")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("1101","11"),("1111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("1101","11"),("1111","11")] => ([0,3],[1,2]) => True
[("0","00"),("00","1011"),("1101","11"),("1111","111")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("1101","110"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("1101","111"),("111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("1101","111"),("111","11")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("1101","111"),("1111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("1101","111"),("1111","11")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("1101","111"),("1111","111")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("1101","1111"),("111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("1101","1111"),("111","11")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("1101","1111"),("1111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("1101","1111"),("1111","11")] => ([0,3],[1,2]) => True
[("0","00"),("00","1011"),("1101","1111"),("1111","111")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("111","0"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("111","01"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("111","1"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("111","1"),("1110","11")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("111","1"),("1110","1111")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("111","10"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("111","101"),("1110","1")] => ([0,2,3],[1]) => True
[("0","00"),("00","1011"),("111","11"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("111","11"),("1110","11")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("111","110"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("111","1101"),("1110","1")] => ([0,2,3],[1]) => True
[("0","00"),("00","1011"),("1110","0"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("1110","01"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("1110","011"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("1110","1"),("1110","10")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("1110","1"),("1110","101")] => ([0,2,3],[1]) => True
[("0","00"),("00","1011"),("1110","1"),("1111","0")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("1110","1"),("1111","01")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("1110","1"),("1111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("1110","1"),("1111","10")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("1110","1"),("1111","101")] => ([0,2,3],[1]) => True
[("0","00"),("00","1011"),("1110","1"),("1111","11")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("1110","1"),("1111","110")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("1110","1"),("1111","1101")] => ([0,2,3],[1]) => True
[("0","00"),("00","1011"),("1110","1"),("1111","111")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("1110","10"),("1110","11")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("1110","11"),("1111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("1110","11"),("1111","11")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("1110","11"),("1111","111")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("1110","1111"),("1111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1011"),("1110","1111"),("1111","11")] => ([0,1,2,3],[]) => False
[("0","00"),("00","11"),("0001","0"),("0011","0010")] => ([0,1,2,3],[]) => False
[("0","00"),("00","11"),("0001","0"),("011","001")] => ([0,1,2,3],[]) => False
[("0","00"),("00","11"),("0001","0"),("0111","10")] => ([0,1,2,3],[]) => False
[("0","00"),("00","11"),("0001","0"),("10","1100")] => ([0,1,2,3],[]) => False
[("0","00"),("00","11"),("0001","0"),("1001","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","11"),("0001","0"),("1001","100")] => ([0,1,2,3],[]) => False
[("0","00"),("00","11"),("0001","0"),("101","01")] => ([0,1,2,3],[]) => False
[("0","00"),("00","11"),("0001","0"),("101","10")] => ([0,1,2,3],[]) => False
[("0","00"),("00","11"),("0001","0"),("101","1000")] => ([0,1,2,3],[]) => False
[("0","00"),("00","11"),("0001","0"),("1010","100")] => ([0,1,2,3],[]) => False
[("0","00"),("00","11"),("0001","0"),("1010","1000")] => ([0,1,2,3],[]) => False
[("0","00"),("00","11"),("0001","0"),("1011","0")] => ([0,2,3],[1]) => True
[("0","00"),("00","11"),("0001","0"),("1011","010")] => ([0,1,2,3],[]) => False
[("0","00"),("00","11"),("0001","0"),("1011","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","11"),("0001","0"),("1011","100")] => ([0,1,2,3],[]) => False
[("0","00"),("00","11"),("0001","0"),("1101","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","11"),("0001","0"),("1101","10")] => ([0,1,2,3],[]) => False
[("0","00"),("00","11"),("0001","0"),("111","0100")] => ([0,1,2,3],[]) => False
[("0","00"),("00","11"),("0001","00"),("0111","10")] => ([0,1,2,3],[]) => False
[("0","00"),("00","11"),("0001","00"),("10","1100")] => ([0,1,2,3],[]) => False
[("0","00"),("00","11"),("0001","10"),("0111","0")] => ([0,1,2,3],[]) => False
[("0","00"),("00","11"),("0001","10"),("1001","0")] => ([0,1,2,3],[]) => False
[("0","00"),("00","11"),("0001","10"),("1001","01")] => ([0,1,2,3],[]) => False
[("0","00"),("00","11"),("0001","10"),("101","1")] => ([0,2,3],[1]) => True
[("0","00"),("00","11"),("0001","10"),("1010","1")] => ([0,2,3],[1]) => True
[("0","00"),("00","11"),("0001","10"),("1010","10")] => ([0,2,3],[1]) => True
[("0","00"),("00","11"),("0001","10"),("1011","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","11"),("0001","10"),("1101","0")] => ([0,1,2,3],[]) => False
[("0","00"),("00","11"),("0001","101"),("1010","01")] => ([0,1,2,3],[]) => False
[("0","00"),("00","11"),("0001","1010"),("1010","10")] => ([0,2,3],[1]) => True
[("0","00"),("00","11"),("001","0"),("0011","010")] => ([0,1,2,3],[]) => False
[("0","00"),("00","11"),("001","0"),("0111","10")] => ([0,1,2,3],[]) => False
[("0","00"),("00","11"),("001","0"),("10","1100")] => ([0,1,2,3],[]) => False
[("0","00"),("00","11"),("001","0"),("1001","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","11"),("001","0"),("1001","100")] => ([0,1,2,3],[]) => False
[("0","00"),("00","11"),("001","0"),("1010","01")] => ([0,1,2,3],[]) => False
[("0","00"),("00","11"),("001","0"),("1010","100")] => ([0,1,2,3],[]) => False
[("0","00"),("00","11"),("001","0"),("1011","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","11"),("001","0"),("1011","100")] => ([0,1,2,3],[]) => False
[("0","00"),("00","11"),("001","0"),("1101","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","11"),("001","10"),("0111","0")] => ([0,1,2,3],[]) => False
[("0","00"),("00","11"),("001","10"),("1001","0")] => ([0,1,2,3],[]) => False
[("0","00"),("00","11"),("001","10"),("1010","1")] => ([0,2,3],[1]) => True
[("0","00"),("00","11"),("001","10"),("1010","10")] => ([0,2,3],[1]) => True
[("0","00"),("00","11"),("001","10"),("1011","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","11"),("001","101"),("1010","01")] => ([0,1,2,3],[]) => False
[("0","00"),("00","11"),("001","1010"),("1010","10")] => ([0,2,3],[1]) => True
[("0","00"),("00","11"),("0010","0"),("0011","0100")] => ([0,1,2,3],[]) => False
[("0","00"),("00","11"),("0010","0"),("011","010")] => ([0,1,2,3],[]) => False
[("0","00"),("00","11"),("0010","0"),("0111","10")] => ([0,1,2,3],[]) => False
[("0","00"),("00","11"),("0010","0"),("1001","01")] => ([0,1,2,3],[]) => False
[("0","00"),("00","11"),("0010","0"),("1001","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","11"),("0010","0"),("1001","10")] => ([0,1,2,3],[]) => False
[("0","00"),("00","11"),("0010","0"),("11","01")] => ([0,1,2,3],[]) => False
[("0","00"),("00","11"),("0010","0"),("110","001")] => ([0,1,2,3],[]) => False
[("0","00"),("00","11"),("0010","0"),("1100","0001")] => ([0,1,2,3],[]) => False
[("0","00"),("00","11"),("0010","0"),("111","10")] => ([0,1,2,3],[]) => False
[("0","00"),("00","11"),("0010","0"),("1110","01")] => ([0,1,2,3],[]) => False
[("0","00"),("00","11"),("0010","0"),("1111","01")] => ([0,1,2,3],[]) => False
[("0","00"),("00","11"),("0010","100"),("0011","01")] => ([0,1,2,3],[]) => False
[("0","00"),("00","11"),("0011","0010"),("1001","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","11"),("0011","01"),("0011","10")] => ([0,1,2,3],[]) => False
[("0","00"),("00","11"),("0011","01"),("01","1010")] => ([0,1,2,3],[]) => False
[("0","00"),("00","11"),("0011","01"),("0101","10")] => ([0,1,2,3],[]) => False
[("0","00"),("00","11"),("0011","01"),("10","1100")] => ([0,1,2,3],[]) => False
[("0","00"),("00","11"),("0011","01"),("1011","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","11"),("0011","010"),("1010","01")] => ([0,1,2,3],[]) => False
[("0","00"),("00","11"),("0011","0100"),("1001","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","11"),("0011","0101"),("0101","10")] => ([0,1,2,3],[]) => False
[("0","00"),("00","11"),("0011","10"),("01","0")] => ([0,1,2,3],[]) => False
[("0","00"),("00","11"),("0011","10"),("0101","0")] => ([0,1,2,3],[]) => False
[("0","00"),("00","11"),("0011","10"),("0101","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","11"),("0011","10"),("0101","10")] => ([0,1,2,3],[]) => False
[("0","00"),("00","11"),("0011","10"),("0111","011")] => ([0,1,2,3],[]) => False
[("0","00"),("00","11"),("0011","10"),("1001","0")] => ([0,1,2,3],[]) => False
[("0","00"),("00","11"),("0011","10"),("1010","01")] => ([0,1,2,3],[]) => False
[("0","00"),("00","11"),("0011","10"),("1101","0")] => ([0,1,2,3],[]) => False
[("0","00"),("00","11"),("0011","10"),("1101","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","11"),("0011","100"),("010","0")] => ([0,1,2,3],[]) => False
[("0","00"),("00","11"),("0011","1000"),("0111","0")] => ([0,1,2,3],[]) => False
[("0","00"),("00","11"),("0011","1010"),("0101","0")] => ([0,1,2,3],[]) => False
[("0","00"),("00","11"),("0011","1010"),("0101","10")] => ([0,1,2,3],[]) => False
[("0","00"),("00","11"),("0011","1010"),("1010","01")] => ([0,1,2,3],[]) => False
[("0","00"),("00","11"),("0011","1110"),("0111","0")] => ([0,1,2,3],[]) => False
[("0","00"),("00","11"),("01","0"),("0111","10")] => ([0,1,2,3],[]) => False
[("0","00"),("00","11"),("01","0"),("1001","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","11"),("01","0"),("1001","10")] => ([0,1,2,3],[]) => False
[("0","00"),("00","11"),("01","0"),("1011","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","11"),("01","0"),("1101","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","11"),("01","0011"),("110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","11"),("01","010"),("1010","01")] => ([0,1,2,3],[]) => False
[("0","00"),("00","11"),("01","10"),("0111","0")] => ([0,1,2,3],[]) => False
[("0","00"),("00","11"),("01","10"),("1010","01")] => ([0,1,2,3],[]) => False
[("0","00"),("00","11"),("01","10"),("1010","1")] => ([0,2,3],[1]) => True
[("0","00"),("00","11"),("01","10"),("1010","10")] => ([0,2,3],[1]) => True
[("0","00"),("00","11"),("01","10"),("1011","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","11"),("01","1010"),("011","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","11"),("01","1010"),("1010","10")] => ([0,2,3],[1]) => True
[("0","00"),("00","11"),("010","0"),("0111","10")] => ([0,1,2,3],[]) => False
[("0","00"),("00","11"),("0101","0"),("011","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","11"),("0101","0"),("011","10")] => ([0,1,2,3],[]) => False
[("0","00"),("00","11"),("0101","0"),("011","101")] => ([0,1,2,3],[]) => False
[("0","00"),("00","11"),("0101","0"),("0111","10")] => ([0,1,2,3],[]) => False
[("0","00"),("00","11"),("0101","0"),("1001","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","11"),("0101","01"),("011","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","11"),("0101","01"),("0110","01")] => ([0,1,2,3],[]) => False
[("0","00"),("00","11"),("0101","01"),("0110","0101")] => ([0,1,2,3],[]) => False
[("0","00"),("00","11"),("0101","01"),("1001","01")] => ([0,2],[1,3]) => True
[("0","00"),("00","11"),("0101","01"),("1001","0101")] => ([0,2],[1,3]) => True
[("0","00"),("00","11"),("0101","01"),("1110","01")] => ([0,1,2,3],[]) => False
[("0","00"),("00","11"),("0101","01"),("1110","0101")] => ([0,1,2,3],[]) => False
[("0","00"),("00","11"),("0101","1"),("0110","01")] => ([0,1,2,3],[]) => False
[("0","00"),("00","11"),("0101","1"),("0111","0")] => ([0,1,2,3],[]) => False
[("0","00"),("00","11"),("0101","1"),("0111","010")] => ([0,1,2,3],[]) => False
[("0","00"),("00","11"),("0101","1"),("0111","10")] => ([0,1,2,3],[]) => False
[("0","00"),("00","11"),("0101","1"),("1001","0")] => ([0,1,2,3],[]) => False
[("0","00"),("00","11"),("0101","1"),("1011","0")] => ([0,1,2,3],[]) => False
[("0","00"),("00","11"),("0101","1"),("11","0")] => ([0,1,2,3],[]) => False
[("0","00"),("00","11"),("0101","1"),("11","1010")] => ([0,1,2,3],[]) => False
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[("0","00"),("00","11"),("0101","10"),("110","0101")] => ([0,1,2,3],[]) => False
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[("0","00"),("00","11"),("011","1"),("1101","0")] => ([0,1,2,3],[]) => False
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[("0","00"),("00","11"),("0110","01"),("1001","0")] => ([0,1,2,3],[]) => False
[("0","00"),("00","11"),("0110","01"),("1001","10")] => ([0,1,2,3],[]) => False
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[("0","00"),("00","11"),("0111","0"),("1111","10")] => ([0,1,2,3],[]) => False
[("0","00"),("00","11"),("0111","011"),("1011","1")] => ([0,1,2,3],[]) => False
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[("0","00"),("00","11"),("0111","10"),("1001","0")] => ([0,1,2,3],[]) => False
[("0","00"),("00","11"),("0111","10"),("1001","01")] => ([0,1,2,3],[]) => False
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[("0","00"),("00","11"),("0111","101"),("1011","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","11"),("0111","110"),("1011","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","11"),("1","0"),("1011","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","11"),("1","01"),("1101","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","11"),("1","0111"),("1001","0")] => ([0,1,2,3],[]) => False
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[("0","00"),("00","11"),("1001","0"),("1001","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","11"),("1001","0"),("101","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","11"),("1001","0"),("1011","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","11"),("1001","0"),("11","0111")] => ([0,1,2,3],[]) => False
[("0","00"),("00","11"),("1001","00"),("1001","1")] => ([0,1,2,3],[]) => False
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[("0","00"),("00","11"),("1001","01"),("1001","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","11"),("1001","01"),("1011","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","11"),("1001","01"),("11","0")] => ([0,1,2,3],[]) => False
[("0","00"),("00","11"),("1001","01"),("1101","0")] => ([0,1,2,3],[]) => False
[("0","00"),("00","11"),("1001","01"),("1101","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","11"),("1001","01"),("1111","0")] => ([0,1,2,3],[]) => False
[("0","00"),("00","11"),("1001","1"),("101","0")] => ([0,1,2,3],[]) => False
[("0","00"),("00","11"),("1001","1"),("101","01")] => ([0,1,2,3],[]) => False
[("0","00"),("00","11"),("1001","1"),("1011","0")] => ([0,1,2,3],[]) => False
[("0","00"),("00","11"),("1001","1"),("1011","01")] => ([0,1,2,3],[]) => False
[("0","00"),("00","11"),("1001","1"),("11","0")] => ([0,1,2,3],[]) => False
[("0","00"),("00","11"),("1001","1"),("11","00")] => ([0,1,2,3],[]) => False
[("0","00"),("00","11"),("1001","1"),("11","0010")] => ([0,1,2,3],[]) => False
[("0","00"),("00","11"),("1001","1"),("11","0011")] => ([0,1,2,3],[]) => False
[("0","00"),("00","11"),("1001","1"),("11","101")] => ([0,1,2,3],[]) => False
[("0","00"),("00","11"),("1001","1"),("1111","0")] => ([0,1,2,3],[]) => False
[("0","00"),("00","11"),("1001","1"),("1111","00")] => ([0,1,2,3],[]) => False
[("0","00"),("00","11"),("1001","1"),("1111","0010")] => ([0,1,2,3],[]) => False
[("0","00"),("00","11"),("1001","1"),("1111","0011")] => ([0,1,2,3],[]) => False
[("0","00"),("00","11"),("1001","1"),("1111","101")] => ([0,1,2,3],[]) => False
[("0","00"),("00","11"),("101","1"),("1111","0")] => ([0,1,2,3],[]) => False
[("0","00"),("00","11"),("101","1"),("1111","011")] => ([0,1,2,3],[]) => False
[("0","00"),("00","11"),("1011","1"),("11","01")] => ([0,1,2,3],[]) => False
[("0","00"),("00","11"),("1011","1"),("11","0111")] => ([0,1],[2,3]) => True
[("0","00"),("00","11"),("1011","1"),("11","110")] => ([0,1,2,3],[]) => False
[("0","00"),("00","11"),("1011","1"),("11","1101")] => ([0,1,2,3],[]) => False
[("0","00"),("00","11"),("1011","1"),("111","0")] => ([0,1,2,3],[]) => False
[("0","00"),("00","11"),("1011","1"),("111","011")] => ([0,1,2,3],[]) => False
[("0","00"),("00","11"),("1011","1"),("111","10")] => ([0,1,2,3],[]) => False
[("0","00"),("00","11"),("1011","1"),("111","101")] => ([0,1,2,3],[]) => False
[("0","00"),("00","11"),("1011","1"),("111","110")] => ([0,1,2,3],[]) => False
[("0","00"),("00","11"),("1011","1"),("1111","01")] => ([0,1,2,3],[]) => False
[("0","00"),("00","11"),("1011","1"),("1111","0111")] => ([0,1],[2,3]) => True
[("0","00"),("00","11"),("1011","1"),("1111","110")] => ([0,1,2,3],[]) => False
[("0","00"),("00","11"),("1011","1"),("1111","1101")] => ([0,1,2,3],[]) => False
[("0","00"),("00","111"),("0001","0"),("0111","001")] => ([0,1,2,3],[]) => False
[("0","00"),("00","111"),("0001","0"),("1011","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","111"),("0001","0"),("1011","11")] => ([0,2,3],[1]) => True
[("0","00"),("00","111"),("0001","0"),("11","0100")] => ([0,1,2,3],[]) => False
[("0","00"),("00","111"),("0001","0"),("1111","10")] => ([0,1,2,3],[]) => False
[("0","00"),("00","111"),("0001","000"),("1100","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","111"),("0001","10"),("0111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","111"),("0001","10"),("1011","1")] => ([0,2,3],[1]) => True
[("0","00"),("00","111"),("0001","10"),("110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","111"),("0001","10"),("1100","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","111"),("0001","10"),("1101","1")] => ([0,2,3],[1]) => True
[("0","00"),("00","111"),("0001","1000"),("1100","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","111"),("0001","110"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","111"),("001","0"),("0111","01")] => ([0,1,2,3],[]) => False
[("0","00"),("00","111"),("001","0"),("1011","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","111"),("001","000"),("1100","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","111"),("001","011"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","111"),("001","0110"),("1100","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","111"),("001","10"),("1011","1")] => ([0,2,3],[1]) => True
[("0","00"),("00","111"),("001","10"),("1100","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","111"),("001","10"),("1101","1")] => ([0,2,3],[1]) => True
[("0","00"),("00","111"),("001","10"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","111"),("001","100"),("1100","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","111"),("001","1000"),("1100","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","111"),("001","1100"),("1100","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","111"),("0010","0"),("0111","010")] => ([0,1,2,3],[]) => False
[("0","00"),("00","111"),("0010","0"),("111","01")] => ([0,1,2,3],[]) => False
[("0","00"),("00","111"),("0010","0"),("1110","001")] => ([0,1,2,3],[]) => False
[("0","00"),("00","111"),("0010","0"),("1111","10")] => ([0,1,2,3],[]) => False
[("0","00"),("00","111"),("0010","101"),("0111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","111"),("0011","0"),("0111","011")] => ([0,1,2,3],[]) => False
[("0","00"),("00","111"),("0011","0"),("0111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","111"),("0011","0"),("1","110")] => ([0,1,2,3],[]) => False
[("0","00"),("00","111"),("0011","0"),("1001","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","111"),("0011","0"),("1010","01")] => ([0,1,2,3],[]) => False
[("0","00"),("00","111"),("0011","0"),("1011","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","111"),("0011","0"),("1101","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","111"),("0011","0"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","111"),("0011","0"),("1111","110")] => ([0,1,2,3],[]) => False
[("0","00"),("00","111"),("0011","000"),("1100","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","111"),("0011","0001"),("1100","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","111"),("0011","001"),("1100","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","111"),("0011","01"),("0111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","111"),("0011","01"),("1","110")] => ([0,1,2,3],[]) => False
[("0","00"),("00","111"),("0011","01"),("1","1101")] => ([0,1,2,3],[]) => False
[("0","00"),("00","111"),("0011","01"),("1","1110")] => ([0,1,2,3],[]) => False
[("0","00"),("00","111"),("0011","01"),("10","1100")] => ([0,1,2,3],[]) => False
[("0","00"),("00","111"),("0011","01"),("1001","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","111"),("0011","01"),("101","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","111"),("0011","01"),("101","11")] => ([0,1,2,3],[]) => False
[("0","00"),("00","111"),("0011","01"),("1010","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","111"),("0011","01"),("110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","111"),("0011","01"),("1100","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","111"),("0011","01"),("1101","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","111"),("0011","01"),("1110","11")] => ([0,1,2,3],[]) => False
[("0","00"),("00","111"),("0011","010"),("1010","01")] => ([0,1,2,3],[]) => False
[("0","00"),("00","111"),("0011","0100"),("1001","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","111"),("0011","0110"),("1100","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","111"),("0011","0111"),("0111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","111"),("0011","1"),("0111","01")] => ([0,1,2,3],[]) => False
[("0","00"),("00","111"),("0011","1"),("0111","110")] => ([0,1,2,3],[]) => False
[("0","00"),("00","111"),("0011","1"),("1","000")] => ([0,1,2,3],[]) => False
[("0","00"),("00","111"),("0011","1"),("1","0001")] => ([0,1,2,3],[]) => False
[("0","00"),("00","111"),("0011","1"),("1","01")] => ([0,1,2,3],[]) => False
[("0","00"),("00","111"),("0011","1"),("1","0110")] => ([0,1,2,3],[]) => False
[("0","00"),("00","111"),("0011","1"),("1","110")] => ([0,1,2,3],[]) => False
[("0","00"),("00","111"),("0011","1"),("10","000")] => ([0,1,2,3],[]) => False
[("0","00"),("00","111"),("0011","1"),("10","0001")] => ([0,1,2,3],[]) => False
[("0","00"),("00","111"),("0011","1"),("10","01")] => ([0,1,2,3],[]) => False
[("0","00"),("00","111"),("0011","1"),("10","1100")] => ([0,1,2,3],[]) => False
[("0","00"),("00","111"),("0011","1"),("1001","0")] => ([0,1,2,3],[]) => False
[("0","00"),("00","111"),("0011","1"),("1001","00")] => ([0,1,2,3],[]) => False
[("0","00"),("00","111"),("0011","1"),("1001","000")] => ([0,1,2,3],[]) => False
[("0","00"),("00","111"),("0011","1"),("1001","0001")] => ([0,1,2,3],[]) => False
[("0","00"),("00","111"),("0011","1"),("1001","01")] => ([0,1,2,3],[]) => False
[("0","00"),("00","111"),("0011","1"),("1001","0110")] => ([0,1,2,3],[]) => False
[("0","00"),("00","111"),("0011","1"),("1001","10")] => ([0,1,2,3],[]) => False
[("0","00"),("00","111"),("0011","1"),("1001","100")] => ([0,1,2,3],[]) => False
[("0","00"),("00","111"),("0011","1"),("1001","1000")] => ([0,1,2,3],[]) => False
[("0","00"),("00","111"),("0011","1"),("101","0")] => ([0,1,2,3],[]) => False
[("0","00"),("00","111"),("0011","1"),("101","01")] => ([0,1,2,3],[]) => False
[("0","00"),("00","111"),("0011","1"),("101","10")] => ([0,2,3],[1]) => True
[("0","00"),("00","111"),("0011","1"),("1010","0")] => ([0,1,2,3],[]) => False
[("0","00"),("00","111"),("0011","1"),("1010","01")] => ([0,1,2,3],[]) => False
[("0","00"),("00","111"),("0011","1"),("1010","10")] => ([0,2,3],[1]) => True
[("0","00"),("00","111"),("0011","1"),("1011","0")] => ([0,1,2,3],[]) => False
[("0","00"),("00","111"),("0011","1"),("1011","01")] => ([0,1,2,3],[]) => False
[("0","00"),("00","111"),("0011","1"),("1011","10")] => ([0,2,3],[1]) => True
[("0","00"),("00","111"),("0011","1"),("11","000")] => ([0,1,2,3],[]) => False
[("0","00"),("00","111"),("0011","1"),("11","0001")] => ([0,1,2,3],[]) => False
[("0","00"),("00","111"),("0011","1"),("11","01")] => ([0,1,2,3],[]) => False
[("0","00"),("00","111"),("0011","1"),("11","10")] => ([0,1,2,3],[]) => False
[("0","00"),("00","111"),("0011","1"),("11","100")] => ([0,1,2,3],[]) => False
[("0","00"),("00","111"),("0011","1"),("11","1000")] => ([0,1,2,3],[]) => False
[("0","00"),("00","111"),("0011","1"),("11","110")] => ([0,1,2,3],[]) => False
[("0","00"),("00","111"),("0011","1"),("11","1110")] => ([0,1,2,3],[]) => False
[("0","00"),("00","111"),("0011","1"),("110","000")] => ([0,1,2,3],[]) => False
[("0","00"),("00","111"),("0011","1"),("110","01")] => ([0,1,2,3],[]) => False
[("0","00"),("00","111"),("0011","1"),("110","011")] => ([0,1,2,3],[]) => False
[("0","00"),("00","111"),("0011","1"),("110","0110")] => ([0,1,2,3],[]) => False
[("0","00"),("00","111"),("0011","1"),("110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","111"),("0011","1"),("110","10")] => ([0,1,2,3],[]) => False
[("0","00"),("00","111"),("0011","1"),("110","1000")] => ([0,1,2,3],[]) => False
[("0","00"),("00","111"),("0011","1"),("1100","0001")] => ([0,1,2,3],[]) => False
[("0","00"),("00","111"),("0011","1"),("1100","0011")] => ([0,1,2,3],[]) => False
[("0","00"),("00","111"),("0011","1"),("1100","01")] => ([0,1,2,3],[]) => False
[("0","00"),("00","111"),("0011","1"),("1100","011")] => ([0,1,2,3],[]) => False
[("0","00"),("00","111"),("0011","1"),("1100","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","111"),("0011","1"),("1100","1101")] => ([0,1,2,3],[]) => False
[("0","00"),("00","111"),("0011","1"),("1101","0")] => ([0,1,2,3],[]) => False
[("0","00"),("00","111"),("0011","1"),("1101","10")] => ([0,1,2,3],[]) => False
[("0","00"),("00","111"),("0011","1"),("111","0")] => ([0,1,2,3],[]) => False
[("0","00"),("00","111"),("0011","1"),("111","00")] => ([0,1,2,3],[]) => False
[("0","00"),("00","111"),("0011","1"),("111","000")] => ([0,1,2,3],[]) => False
[("0","00"),("00","111"),("0011","1"),("111","0001")] => ([0,1,2,3],[]) => False
[("0","00"),("00","111"),("0011","1"),("111","01")] => ([0,1,2,3],[]) => False
[("0","00"),("00","111"),("0011","1"),("111","10")] => ([0,1,2,3],[]) => False
[("0","00"),("00","111"),("0011","1"),("111","100")] => ([0,1,2,3],[]) => False
[("0","00"),("00","111"),("0011","1"),("111","1000")] => ([0,1,2,3],[]) => False
[("0","00"),("00","111"),("0011","1"),("1110","000")] => ([0,1,2,3],[]) => False
[("0","00"),("00","111"),("0011","1"),("1110","011")] => ([0,1,2,3],[]) => False
[("0","00"),("00","111"),("0011","1"),("1110","1000")] => ([0,1,2,3],[]) => False
[("0","00"),("00","111"),("0011","1"),("1111","000")] => ([0,1,2,3],[]) => False
[("0","00"),("00","111"),("0011","1"),("1111","0001")] => ([0,1,2,3],[]) => False
[("0","00"),("00","111"),("0011","1"),("1111","01")] => ([0,1,2,3],[]) => False
[("0","00"),("00","111"),("0011","1"),("1111","011")] => ([0,1,2,3],[]) => False
[("0","00"),("00","111"),("0011","1"),("1111","0110")] => ([0,1,2,3],[]) => False
[("0","00"),("00","111"),("0011","1"),("1111","110")] => ([0,1,2,3],[]) => False
[("0","00"),("00","111"),("0011","10"),("0111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","111"),("0011","10"),("101","1")] => ([0,2,3],[1]) => True
[("0","00"),("00","111"),("0011","10"),("1010","01")] => ([0,1,2,3],[]) => False
[("0","00"),("00","111"),("0011","10"),("1010","1")] => ([0,2,3],[1]) => True
[("0","00"),("00","111"),("0011","10"),("1010","10")] => ([0,3],[1,2]) => True
[("0","00"),("00","111"),("0011","10"),("1011","1")] => ([0,2,3],[1]) => True
[("0","00"),("00","111"),("0011","10"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","111"),("0011","100"),("1001","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","111"),("0011","101"),("0111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","111"),("0011","101"),("1010","01")] => ([0,1,2,3],[]) => False
[("0","00"),("00","111"),("0011","1010"),("1010","10")] => ([0,3],[1,2]) => True
[("0","00"),("00","111"),("0011","110"),("0111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","111"),("0011","110"),("110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","111"),("0011","110"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","111"),("01","0"),("0111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","111"),("01","0"),("1011","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","111"),("01","0011"),("110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","111"),("01","0011"),("1110","11")] => ([0,1,2,3],[]) => False
[("0","00"),("00","111"),("01","10"),("0111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","111"),("01","10"),("1011","1")] => ([0,2,3],[1]) => True
[("0","00"),("00","111"),("01","1010"),("0111","11")] => ([0,1,2,3],[]) => False
[("0","00"),("00","111"),("01","110"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","111"),("01","1101"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","111"),("010","0"),("0111","10")] => ([0,1,2,3],[]) => False
[("0","00"),("00","111"),("0101","0"),("0111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","111"),("0101","0"),("0111","10")] => ([0,1,2,3],[]) => False
[("0","00"),("00","111"),("0101","0"),("0111","101")] => ([0,1,2,3],[]) => False
[("0","00"),("00","111"),("0101","0"),("110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","111"),("0101","01"),("0111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","111"),("0101","01"),("110","01")] => ([0,2],[1,3]) => True
[("0","00"),("00","111"),("0101","01"),("110","0101")] => ([0,2],[1,3]) => True
[("0","00"),("00","111"),("0101","01"),("110","1")] => ([0,2,3],[1]) => True
[("0","00"),("00","111"),("0101","011"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","111"),("0101","1"),("0111","01")] => ([0,1,2,3],[]) => False
[("0","00"),("00","111"),("0101","1"),("11","010")] => ([0,1,2,3],[]) => False
[("0","00"),("00","111"),("0101","1"),("110","01")] => ([0,2,3],[1]) => True
[("0","00"),("00","111"),("0101","1"),("111","0")] => ([0,1,2,3],[]) => False
[("0","00"),("00","111"),("0101","1"),("111","1010")] => ([0,1,2,3],[]) => False
[("0","00"),("00","111"),("0101","1"),("1111","0")] => ([0,1,2,3],[]) => False
[("0","00"),("00","111"),("0101","1"),("1111","010")] => ([0,1,2,3],[]) => False
[("0","00"),("00","111"),("0101","10"),("0111","01")] => ([0,1,2],[3]) => True
[("0","00"),("00","111"),("0101","10"),("0111","010")] => ([0,1,2,3],[]) => False
[("0","00"),("00","111"),("0101","10"),("0111","0101")] => ([0,1,2,3],[]) => False
[("0","00"),("00","111"),("0101","10"),("0111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","111"),("0101","10"),("0111","101")] => ([0,1,2,3],[]) => False
[("0","00"),("00","111"),("0101","10"),("1","101")] => ([0,1,2,3],[]) => False
[("0","00"),("00","111"),("0101","10"),("11","01")] => ([0,1,2,3],[]) => False
[("0","00"),("00","111"),("0101","10"),("11","010")] => ([0,1,2,3],[]) => False
[("0","00"),("00","111"),("0101","10"),("11","0101")] => ([0,1,2,3],[]) => False
[("0","00"),("00","111"),("0101","10"),("11","101")] => ([0,1,2,3],[]) => False
[("0","00"),("00","111"),("0101","10"),("110","0")] => ([0,1,2,3],[]) => False
[("0","00"),("00","111"),("0101","10"),("110","01")] => ([0,1,2,3],[]) => False
[("0","00"),("00","111"),("0101","10"),("110","010")] => ([0,1,2,3],[]) => False
[("0","00"),("00","111"),("0101","10"),("110","0101")] => ([0,1,2,3],[]) => False
[("0","00"),("00","111"),("0101","10"),("110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","111"),("0101","10"),("110","101")] => ([0,1,2,3],[]) => False
[("0","00"),("00","111"),("0101","10"),("111","01")] => ([0,1,2,3],[]) => False
[("0","00"),("00","111"),("0101","10"),("1110","01")] => ([0,1,2,3],[]) => False
[("0","00"),("00","111"),("0101","10"),("1110","010")] => ([0,1,2,3],[]) => False
[("0","00"),("00","111"),("0101","10"),("1110","0101")] => ([0,1,2,3],[]) => False
[("0","00"),("00","111"),("0101","10"),("1111","0")] => ([0,1,2,3],[]) => False
[("0","00"),("00","111"),("0101","10"),("1111","01")] => ([0,1,2,3],[]) => False
[("0","00"),("00","111"),("0101","10"),("1111","0101")] => ([0,1,2,3],[]) => False
[("0","00"),("00","111"),("0101","10"),("1111","101")] => ([0,1,2,3],[]) => False
[("0","00"),("00","111"),("011","0"),("0111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","111"),("011","0"),("0111","11")] => ([0,1,2,3],[]) => False
[("0","00"),("00","111"),("011","0"),("1001","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","111"),("011","0"),("1011","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","111"),("011","0"),("1101","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","111"),("011","0"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","111"),("011","01"),("0111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","111"),("011","01"),("1001","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","111"),("011","01"),("1101","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","111"),("011","1"),("0111","011")] => ([0,1,2,3],[]) => False
[("0","00"),("00","111"),("011","1"),("0111","101")] => ([0,1,2,3],[]) => False
[("0","00"),("00","111"),("011","1"),("0111","110")] => ([0,1,2,3],[]) => False
[("0","00"),("00","111"),("011","1"),("1001","0")] => ([0,1,2,3],[]) => False
[("0","00"),("00","111"),("011","1"),("1001","10")] => ([0,1,2,3],[]) => False
[("0","00"),("00","111"),("011","1"),("1011","0")] => ([0,1,2,3],[]) => False
[("0","00"),("00","111"),("011","1"),("1011","01")] => ([0,1,2,3],[]) => False
[("0","00"),("00","111"),("011","1"),("1011","011")] => ([0,1,2,3],[]) => False
[("0","00"),("00","111"),("011","1"),("1011","10")] => ([0,2,3],[1]) => True
[("0","00"),("00","111"),("011","1"),("1101","0")] => ([0,1,2,3],[]) => False
[("0","00"),("00","111"),("011","1"),("1101","10")] => ([0,1,2,3],[]) => False
[("0","00"),("00","111"),("011","1"),("1110","01")] => ([0,1,2,3],[]) => False
[("0","00"),("00","111"),("011","1"),("1111","01")] => ([0,1,2,3],[]) => False
[("0","00"),("00","111"),("011","10"),("0111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","111"),("011","10"),("1011","1")] => ([0,2,3],[1]) => True
[("0","00"),("00","111"),("011","10"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","111"),("011","101"),("0111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","111"),("011","110"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","111"),("0110","0"),("0111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","111"),("0110","0"),("0111","110")] => ([0,1,2,3],[]) => False
[("0","00"),("00","111"),("0110","01"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","111"),("0110","01"),("1111","10")] => ([0,1,2,3],[]) => False
[("0","00"),("00","111"),("0110","0111"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","111"),("0110","1"),("0111","10")] => ([0,1,2,3],[]) => False
[("0","00"),("00","111"),("0110","1"),("1","0")] => ([0,1,2,3],[]) => False
[("0","00"),("00","111"),("0110","1"),("1","0011")] => ([0,1,2,3],[]) => False
[("0","00"),("00","111"),("0110","1"),("1","01")] => ([0,1,2,3],[]) => False
[("0","00"),("00","111"),("0110","1"),("1","011")] => ([0,1,2,3],[]) => False
[("0","00"),("00","111"),("0110","1"),("1","1011")] => ([0,1,2,3],[]) => False
[("0","00"),("00","111"),("0110","1"),("1011","0")] => ([0,1,2,3],[]) => False
[("0","00"),("00","111"),("0110","1"),("1011","01")] => ([0,2,3],[1]) => True
[("0","00"),("00","111"),("0110","1"),("1011","10")] => ([0,2,3],[1]) => True
[("0","00"),("00","111"),("0110","1"),("11","0")] => ([0,1,2,3],[]) => False
[("0","00"),("00","111"),("0110","1"),("11","011")] => ([0,1,2,3],[]) => False
[("0","00"),("00","111"),("0110","1"),("111","0")] => ([0,1,2,3],[]) => False
[("0","00"),("00","111"),("0110","1"),("111","011")] => ([0,1,2,3],[]) => False
[("0","00"),("00","111"),("0110","1"),("111","101")] => ([0,1,2,3],[]) => False
[("0","00"),("00","111"),("0110","1"),("1111","0")] => ([0,1,2,3],[]) => False
[("0","00"),("00","111"),("0110","1"),("1111","01")] => ([0,1,2,3],[]) => False
[("0","00"),("00","111"),("0110","1"),("1111","011")] => ([0,1,2,3],[]) => False
[("0","00"),("00","111"),("0110","101"),("0111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","111"),("0111","01"),("0111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","111"),("0111","01"),("101","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","111"),("0111","01"),("1101","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","111"),("0111","01"),("1101","11")] => ([0,1,2,3],[]) => False
[("0","00"),("00","111"),("0111","011"),("1011","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","111"),("0111","1"),("0111","10")] => ([0,1,2,3],[]) => False
[("0","00"),("00","111"),("0111","1"),("0111","101")] => ([0,1,2,3],[]) => False
[("0","00"),("00","111"),("0111","1"),("1","10")] => ([0,1,2,3],[]) => False
[("0","00"),("00","111"),("0111","1"),("1","110")] => ([0,1,2,3],[]) => False
[("0","00"),("00","111"),("0111","1"),("1001","0111")] => ([0,1,2,3],[]) => False
[("0","00"),("00","111"),("0111","1"),("1001","10")] => ([0,1,2,3],[]) => False
[("0","00"),("00","111"),("0111","1"),("101","0")] => ([0,1,2,3],[]) => False
[("0","00"),("00","111"),("0111","1"),("101","10")] => ([0,1,2,3],[]) => False
[("0","00"),("00","111"),("0111","1"),("1011","0")] => ([0,1,2,3],[]) => False
[("0","00"),("00","111"),("0111","1"),("1011","01")] => ([0,1,2,3],[]) => False
[("0","00"),("00","111"),("0111","1"),("1011","10")] => ([0,1,2,3],[]) => False
[("0","00"),("00","111"),("0111","1"),("1011","101")] => ([0,1,2,3],[]) => False
[("0","00"),("00","111"),("0111","1"),("11","0")] => ([0,1,2,3],[]) => False
[("0","00"),("00","111"),("0111","1"),("11","01")] => ([0,1,2,3],[]) => False
[("0","00"),("00","111"),("0111","1"),("11","011")] => ([0,1,2,3],[]) => False
[("0","00"),("00","111"),("0111","1"),("11","10")] => ([0,1,2,3],[]) => False
[("0","00"),("00","111"),("0111","1"),("11","101")] => ([0,1,2,3],[]) => False
[("0","00"),("00","111"),("0111","1"),("1101","0")] => ([0,1,2,3],[]) => False
[("0","00"),("00","111"),("0111","1"),("1101","01")] => ([0,1,2,3],[]) => False
[("0","00"),("00","111"),("0111","1"),("1101","10")] => ([0,1,2,3],[]) => False
[("0","00"),("00","111"),("0111","1"),("111","01")] => ([0,1,2,3],[]) => False
[("0","00"),("00","111"),("0111","1"),("111","101")] => ([0,1,2,3],[]) => False
[("0","00"),("00","111"),("0111","1"),("111","1011")] => ([0,1,2,3],[]) => False
[("0","00"),("00","111"),("0111","1"),("1110","101")] => ([0,1,2,3],[]) => False
[("0","00"),("00","111"),("0111","1"),("1111","10")] => ([0,1,2,3],[]) => False
[("0","00"),("00","111"),("0111","1"),("1111","110")] => ([0,1,2,3],[]) => False
[("0","00"),("00","111"),("0111","10"),("1001","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","111"),("0111","10"),("1101","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","111"),("0111","101"),("1001","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","111"),("0111","11"),("1111","01")] => ([0,1,2,3],[]) => False
[("0","00"),("00","111"),("0111","110"),("1011","1")] => ([0,1],[2,3]) => True
[("0","00"),("00","111"),("1","00"),("1001","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","111"),("1","0010"),("1001","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","111"),("1","01"),("1001","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","111"),("1","01"),("1011","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","111"),("1","01"),("1101","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","111"),("1","011"),("1001","0")] => ([0,1,2,3],[]) => False
[("0","00"),("00","111"),("1","011"),("1101","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","111"),("1","0110"),("101","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","111"),("1001","0"),("1011","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","111"),("1001","01"),("1011","1")] => ([0,2,3],[1]) => True
[("0","00"),("00","111"),("1001","1"),("1011","0")] => ([0,1,2,3],[]) => False
[("0","00"),("00","111"),("1001","1"),("1011","01")] => ([0,2,3],[1]) => True
[("0","00"),("00","111"),("1001","1"),("1011","10")] => ([0,1,2,3],[]) => False
[("0","00"),("00","111"),("1001","1"),("11","101")] => ([0,1,2,3],[]) => False
[("0","00"),("00","111"),("1001","1"),("111","0")] => ([0,1,2,3],[]) => False
[("0","00"),("00","111"),("1001","1"),("111","00")] => ([0,1,2,3],[]) => False
[("0","00"),("00","111"),("1001","1"),("111","0010")] => ([0,1,2,3],[]) => False
[("0","00"),("00","111"),("1001","1"),("111","0011")] => ([0,1,2,3],[]) => False
[("0","00"),("00","111"),("1001","1"),("111","101")] => ([0,1,2,3],[]) => False
[("0","00"),("00","111"),("1001","1"),("1111","00")] => ([0,1,2,3],[]) => False
[("0","00"),("00","111"),("1001","1"),("1111","0010")] => ([0,1,2,3],[]) => False
[("0","00"),("00","111"),("1001","1"),("1111","01")] => ([0,1,2,3],[]) => False
[("0","00"),("00","111"),("101","1"),("1111","0")] => ([0,1,2,3],[]) => False
[("0","00"),("00","111"),("1011","1"),("11","0")] => ([0,1,2,3],[]) => False
[("0","00"),("00","111"),("1011","1"),("11","011")] => ([0,1,2,3],[]) => False
[("0","00"),("00","111"),("1011","1"),("11","10")] => ([0,1,2,3],[]) => False
[("0","00"),("00","111"),("1011","1"),("11","101")] => ([0,1,2,3],[]) => False
[("0","00"),("00","111"),("1011","1"),("11","110")] => ([0,1,2,3],[]) => False
[("0","00"),("00","111"),("1011","1"),("111","0")] => ([0,1,2,3],[]) => False
[("0","00"),("00","111"),("1011","1"),("111","01")] => ([0,1,2,3],[]) => False
[("0","00"),("00","111"),("1011","1"),("111","0111")] => ([0,1,2,3],[]) => False
[("0","00"),("00","111"),("1011","1"),("111","10")] => ([0,1,2,3],[]) => False
[("0","00"),("00","111"),("1011","1"),("111","110")] => ([0,1],[2,3]) => True
[("0","00"),("00","111"),("1011","1"),("111","1101")] => ([0,1],[2,3]) => True
[("0","00"),("00","111"),("1011","1"),("111","1110")] => ([0,1,2,3],[]) => False
[("0","00"),("00","111"),("1011","1"),("1111","01")] => ([0,1,2,3],[]) => False
[("0","00"),("00","111"),("1011","1"),("1111","011")] => ([0,1,2,3],[]) => False
[("0","00"),("00","111"),("1011","1"),("1111","10")] => ([0,1,2,3],[]) => False
[("0","00"),("00","111"),("1011","1"),("1111","101")] => ([0,1,2,3],[]) => False
[("0","00"),("00","111"),("1011","1"),("1111","110")] => ([0,1,2,3],[]) => False
[("0","00"),("00","111"),("1011","11"),("111","0")] => ([0,1,2,3],[]) => False
[("0","00"),("00","111"),("1011","11"),("1111","0")] => ([0,1,2,3],[]) => False
[("0","00"),("00","111"),("1011","11"),("1111","10")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1111"),("0001","0"),("111","0100")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1111"),("0001","10"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1111"),("0001","11"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1111"),("0001","110"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1111"),("001","0"),("111","10")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1111"),("001","10"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1111"),("0010","0"),("1111","01")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1111"),("0011","0"),("1100","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1111"),("0011","000"),("1100","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1111"),("0011","01"),("1","110")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1111"),("0011","01"),("110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1111"),("0011","01"),("1101","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1111"),("0011","01"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1111"),("0011","0110"),("1100","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1111"),("0011","1"),("1","00")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1111"),("0011","1"),("1","000")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1111"),("0011","1"),("1","0001")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1111"),("0011","1"),("1","001")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1111"),("0011","1"),("1","01")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1111"),("0011","1"),("1","0110")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1111"),("0011","1"),("1","10")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1111"),("0011","1"),("1","1000")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1111"),("0011","1"),("1","110")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1111"),("0011","1"),("11","0")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1111"),("0011","1"),("11","000")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1111"),("0011","1"),("11","0001")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1111"),("0011","1"),("11","001")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1111"),("0011","1"),("11","01")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1111"),("0011","1"),("11","011")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1111"),("0011","1"),("11","110")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1111"),("0011","1"),("110","0")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1111"),("0011","1"),("110","000")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1111"),("0011","1"),("110","0001")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1111"),("0011","1"),("110","0011")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1111"),("0011","1"),("110","01")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1111"),("0011","1"),("110","011")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1111"),("0011","1"),("110","0110")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1111"),("0011","1"),("1100","0001")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1111"),("0011","1"),("1100","001")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1111"),("0011","1"),("1100","0011")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1111"),("0011","1"),("1100","01")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1111"),("0011","1"),("1100","011")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1111"),("0011","1"),("1100","1101")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1111"),("0011","1"),("1101","0")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1111"),("0011","1"),("1101","01")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1111"),("0011","1"),("1101","10")] => ([0,2,3],[1]) => True
[("0","00"),("00","1111"),("0011","1"),("1101","110")] => ([0,2,3],[1]) => True
[("0","00"),("00","1111"),("0011","1"),("111","000")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1111"),("0011","1"),("111","0001")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1111"),("0011","1"),("111","01")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1111"),("0011","1"),("111","011")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1111"),("0011","1"),("111","0110")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1111"),("0011","1"),("111","10")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1111"),("0011","1"),("111","100")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1111"),("0011","1"),("111","1000")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1111"),("0011","1"),("111","110")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1111"),("0011","1"),("1110","000")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1111"),("0011","1"),("1110","01")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1111"),("0011","1"),("1110","011")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1111"),("0011","1"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1111"),("0011","1"),("1110","10")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1111"),("0011","1"),("1110","1000")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1111"),("0011","1"),("1110","11")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1111"),("0011","1"),("1110","110")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1111"),("0011","1"),("1111","0")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1111"),("0011","1"),("1111","00")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1111"),("0011","1"),("1111","000")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1111"),("0011","1"),("1111","0001")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1111"),("0011","1"),("1111","01")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1111"),("0011","1"),("1111","10")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1111"),("0011","1"),("1111","100")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1111"),("0011","1"),("1111","1000")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1111"),("0011","10"),("110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1111"),("0011","10"),("1101","1")] => ([0,2,3],[1]) => True
[("0","00"),("00","1111"),("0011","10"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1111"),("0011","110"),("110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1111"),("0011","110"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1111"),("01","0"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1111"),("01","10"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1111"),("01","101"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1111"),("01","110"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1111"),("01","1101"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1111"),("0101","0"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1111"),("0101","01"),("1110","01")] => ([0,2],[1,3]) => True
[("0","00"),("00","1111"),("0101","01"),("1110","0101")] => ([0,2],[1,3]) => True
[("0","00"),("00","1111"),("0101","01"),("1110","1")] => ([0,2,3],[1]) => True
[("0","00"),("00","1111"),("0101","011"),("1110","1")] => ([0,2,3],[1]) => True
[("0","00"),("00","1111"),("0101","1"),("11","1010")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1111"),("0101","1"),("111","010")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1111"),("0101","1"),("1110","01")] => ([0,2,3],[1]) => True
[("0","00"),("00","1111"),("0101","1"),("1110","10")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1111"),("0101","1"),("1111","0")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1111"),("0101","1"),("1111","1010")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1111"),("0101","10"),("1","01")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1111"),("0101","10"),("1","101")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1111"),("0101","10"),("11","01")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1111"),("0101","10"),("11","0101")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1111"),("0101","10"),("11","101")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1111"),("0101","10"),("111","0")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1111"),("0101","10"),("111","01")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1111"),("0101","10"),("111","101")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1111"),("0101","10"),("1110","0")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1111"),("0101","10"),("1110","01")] => ([0,1,2],[3]) => True
[("0","00"),("00","1111"),("0101","10"),("1110","010")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1111"),("0101","10"),("1110","0101")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1111"),("0101","10"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1111"),("0101","10"),("1110","101")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1111"),("011","01"),("1101","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1111"),("011","01"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1111"),("011","1"),("1","0")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1111"),("011","1"),("1","01")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1111"),("011","1"),("1","1110")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1111"),("011","1"),("11","01")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1111"),("011","1"),("110","01")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1111"),("011","1"),("110","011")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1111"),("011","1"),("1101","0")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1111"),("011","1"),("1101","01")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1111"),("011","1"),("1101","10")] => ([0,2,3],[1]) => True
[("0","00"),("00","1111"),("011","1"),("111","10")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1111"),("011","1"),("1110","011")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1111"),("011","1"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1111"),("011","1"),("1110","10")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1111"),("011","1"),("1110","11")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1111"),("011","1"),("1110","110")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1111"),("011","1"),("1111","0")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1111"),("011","1"),("1111","10")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1111"),("011","10"),("1101","1")] => ([0,2,3],[1]) => True
[("0","00"),("00","1111"),("011","10"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1111"),("011","110"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1111"),("011","1101"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1111"),("0110","1"),("1","0")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1111"),("0110","1"),("1","0011")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1111"),("0110","1"),("1","01")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1111"),("0110","1"),("1","011")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1111"),("0110","1"),("1","1011")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1111"),("0110","1"),("11","0")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1111"),("0110","1"),("11","011")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1111"),("0110","1"),("111","0")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1111"),("0110","1"),("111","01")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1111"),("0110","1"),("111","011")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1111"),("0110","1"),("111","101")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1111"),("0110","1"),("1111","0")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1111"),("0110","1"),("1111","011")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1111"),("0111","0"),("1001","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1111"),("0111","0"),("1011","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1111"),("0111","0"),("1101","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1111"),("0111","0"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1111"),("0111","01"),("1001","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1111"),("0111","01"),("1101","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1111"),("0111","01"),("1101","11")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1111"),("0111","011"),("1011","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1111"),("0111","011"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1111"),("0111","1"),("1","0")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1111"),("0111","1"),("1","01")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1111"),("0111","1"),("1","011")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1111"),("0111","1"),("1","101")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1111"),("0111","1"),("1","110")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1111"),("0111","1"),("1001","0")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1111"),("0111","1"),("1001","01")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1111"),("0111","1"),("1001","0111")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1111"),("0111","1"),("1001","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1111"),("0111","1"),("1001","10")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1111"),("0111","1"),("1001","101")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1111"),("0111","1"),("101","0")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1111"),("0111","1"),("101","01")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1111"),("0111","1"),("101","10")] => ([0,2,3],[1]) => True
[("0","00"),("00","1111"),("0111","1"),("1011","0")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1111"),("0111","1"),("1011","01")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1111"),("0111","1"),("1011","011")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1111"),("0111","1"),("1011","10")] => ([0,2,3],[1]) => True
[("0","00"),("00","1111"),("0111","1"),("1011","101")] => ([0,2,3],[1]) => True
[("0","00"),("00","1111"),("0111","1"),("1011","110")] => ([0,2,3],[1]) => True
[("0","00"),("00","1111"),("0111","1"),("11","0")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1111"),("0111","1"),("11","10")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1111"),("0111","1"),("11","1011")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1111"),("0111","1"),("1101","0")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1111"),("0111","1"),("1101","10")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1111"),("0111","1"),("111","0")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1111"),("0111","1"),("111","01")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1111"),("0111","1"),("111","011")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1111"),("0111","1"),("111","10")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1111"),("0111","1"),("111","101")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1111"),("0111","1"),("111","110")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1111"),("0111","1"),("1110","01")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1111"),("0111","1"),("1110","011")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1111"),("0111","1"),("1110","0111")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1111"),("0111","1"),("1110","101")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1111"),("0111","1"),("1110","11")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1111"),("0111","1"),("1110","1101")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1111"),("0111","1"),("1111","0")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1111"),("0111","1"),("1111","01")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1111"),("0111","1"),("1111","10")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1111"),("0111","1"),("1111","101")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1111"),("0111","1"),("1111","1011")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1111"),("0111","1"),("1111","110")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1111"),("0111","10"),("101","1")] => ([0,2,3],[1]) => True
[("0","00"),("00","1111"),("0111","10"),("1011","1")] => ([0,2,3],[1]) => True
[("0","00"),("00","1111"),("0111","101"),("1011","1")] => ([0,2,3],[1]) => True
[("0","00"),("00","1111"),("0111","11"),("11","01")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1111"),("0111","11"),("1101","01")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1111"),("0111","11"),("1111","1101")] => ([0,1],[2,3]) => True
[("0","00"),("00","1111"),("0111","110"),("1011","1")] => ([0],[1,2,3]) => True
[("0","00"),("00","1111"),("1","0"),("1001","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1111"),("1","0"),("101","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1111"),("1","0"),("1011","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1111"),("1","00"),("1001","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1111"),("1","001"),("1001","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1111"),("1","01"),("1001","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1111"),("1","01"),("1011","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1111"),("1","01"),("1101","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1111"),("1","011"),("1001","0")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1111"),("1","011"),("1101","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1111"),("1","0110"),("101","1")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1111"),("1001","0"),("11","0111")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1111"),("1001","1"),("11","0")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1111"),("1001","1"),("11","00")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1111"),("1001","1"),("11","0010")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1111"),("1001","1"),("11","0011")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1111"),("1001","1"),("11","01")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1111"),("1001","1"),("11","101")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1111"),("1001","1"),("111","101")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1111"),("1001","1"),("1111","0")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1111"),("1001","1"),("1111","00")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1111"),("1001","1"),("1111","0010")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1111"),("1001","1"),("1111","0011")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1111"),("1001","1"),("1111","101")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1111"),("101","1"),("11","0")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1111"),("101","1"),("11","011")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1111"),("101","1"),("111","01")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1111"),("101","1"),("1111","0")] => ([0,1,2,3],[]) => False
[("0","00"),("00","1111"),("101","1"),("1111","011")] => ([0,1],[2,3]) => True
[("0","00"),("00","1111"),("1011","1"),("11","01")] => ([0,1,2,3],[]) => False
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[("0","00"),("00","1111"),("1011","1"),("1111","0111")] => ([0,1],[2,3]) => True
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[("0","00"),("00","1111"),("1011","1"),("1111","110")] => ([0,1],[2,3]) => True
[("0","00"),("00","1111"),("1011","1"),("1111","1101")] => ([0,1],[2,3]) => True
[("0","00"),("00","1111"),("1011","1"),("1111","1110")] => ([0,1],[2,3]) => True
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[("0","00"),("00","1111"),("1011","11"),("1111","1110")] => ([0,1],[2,3]) => True
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[("0","00"),("000","0000"),("0001","0"),("1","1101")] => ([0,1,2,3],[]) => False
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[("0","00"),("000","0000"),("0010","011"),("0110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("000","0000"),("0011","01"),("1","1101")] => ([0,1,2,3],[]) => False
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[("0","00"),("000","0001"),("0000","101"),("1110","1")] => ([0,1,2,3],[]) => False
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[("0","00"),("000","0001"),("0001","0"),("001","10")] => ([0,1,2,3],[]) => False
[("0","00"),("000","0001"),("0001","0"),("0010","100")] => ([0,1,2,3],[]) => False
[("0","00"),("000","0001"),("0001","0"),("0101","1")] => ([0,1,2,3],[]) => False
[("0","00"),("000","0001"),("0001","0"),("0111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("000","0001"),("0001","0"),("1","110")] => ([0,1,2,3],[]) => False
[("0","00"),("000","0001"),("0001","0"),("101","1")] => ([0,1,2,3],[]) => False
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[("0","00"),("000","0001"),("0001","0"),("1011","1")] => ([0,1,2,3],[]) => False
[("0","00"),("000","0001"),("0001","0"),("1011","11")] => ([0,1,2,3],[]) => False
[("0","00"),("000","0001"),("0001","0"),("1101","1")] => ([0,1,2,3],[]) => False
[("0","00"),("000","0001"),("0001","0"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("000","0001"),("0001","00"),("1","1101")] => ([0,1,2,3],[]) => False
[("0","00"),("000","0001"),("0001","010"),("101","1")] => ([0,1,2,3],[]) => False
[("0","00"),("000","0001"),("0001","100"),("001","0")] => ([0,1,2,3],[]) => False
[("0","00"),("000","0001"),("0001","101"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("000","0001"),("0001","1010"),("0101","10")] => ([0,1,2,3],[]) => False
[("0","00"),("000","0001"),("0001","1011"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("000","0001"),("0001","11"),("0110","0")] => ([0,1,2,3],[]) => False
[("0","00"),("000","0001"),("0001","110"),("0111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("000","0001"),("0001","1101"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("000","0001"),("001","0"),("0010","100")] => ([0,1,2,3],[]) => False
[("0","00"),("000","0001"),("001","0"),("1","110")] => ([0,1,2,3],[]) => False
[("0","00"),("000","0001"),("001","0"),("1","1101")] => ([0,1,2,3],[]) => False
[("0","00"),("000","0001"),("001","0"),("1010","1")] => ([0,1,2,3],[]) => False
[("0","00"),("000","0001"),("001","0"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("000","0001"),("001","010"),("1010","1")] => ([0,1,2,3],[]) => False
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[("0","00"),("000","0001"),("001","10"),("1101","1")] => ([0,1,2,3],[]) => False
[("0","00"),("000","0001"),("001","10"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("000","0001"),("001","101"),("0101","10")] => ([0,1,2,3],[]) => False
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[("0","00"),("000","0001"),("001","11"),("0111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("000","0001"),("001","110"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("000","0001"),("001","1101"),("1110","1")] => ([0,1,2,3],[]) => False
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[("0","00"),("000","0001"),("0010","0100"),("0101","1")] => ([0,1,2,3],[]) => False
[("0","00"),("000","0001"),("0010","100"),("01","0")] => ([0,1,2,3],[]) => False
[("0","00"),("000","0001"),("0010","101"),("0111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("000","0001"),("0010","1010"),("0101","10")] => ([0,1,2,3],[]) => False
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[("0","00"),("000","0001"),("0010","11"),("1100","0")] => ([0,1,2,3],[]) => False
[("0","00"),("000","0001"),("0010","11"),("1111","11")] => ([0,1,2,3],[]) => False
[("0","00"),("000","0001"),("0010","1100"),("0111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("000","0001"),("0010","1101"),("0111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("000","0001"),("0010","111"),("1111","11")] => ([0,1,2,3],[]) => False
[("0","00"),("000","0001"),("0010","1111"),("1111","11")] => ([0,1,2,3],[]) => False
[("0","00"),("000","0001"),("0011","0"),("1010","1")] => ([0,1,2,3],[]) => False
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[("0","00"),("000","0001"),("0011","01"),("1","110")] => ([0,1,2,3],[]) => False
[("0","00"),("000","0001"),("0011","01"),("1","1101")] => ([0,1,2,3],[]) => False
[("0","00"),("000","0001"),("0011","01"),("1","1110")] => ([0,1,2,3],[]) => False
[("0","00"),("000","0001"),("0011","01"),("10","1100")] => ([0,1,2,3],[]) => False
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[("0","00"),("000","0001"),("01","1101"),("1110","1")] => ([0,1,2,3],[]) => False
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[("0","00"),("000","0001"),("010","11"),("111","1")] => ([0,1,2,3],[]) => False
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[("0","00"),("000","0001"),("010","111"),("1111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("000","0001"),("010","111"),("1111","11")] => ([0,1,2,3],[]) => False
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[("0","00"),("000","0001"),("0100","1100"),("1110","1")] => ([0,1,2,3],[]) => False
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[("0","00"),("000","0001"),("0101","1"),("1100","0")] => ([0,1,2,3],[]) => False
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[("0","00"),("000","0001"),("0101","10"),("1000","101")] => ([0,1,2,3],[]) => False
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[("0","00"),("000","0001"),("0111","1"),("1","110")] => ([0,1,2,3],[]) => False
[("0","00"),("000","0001"),("0111","1"),("10","0111")] => ([0,1,2,3],[]) => False
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[("0","00"),("000","0001"),("0111","1"),("1000","101")] => ([0,1,2,3],[]) => False
[("0","00"),("000","0001"),("0111","1"),("1000","1011")] => ([0,1,2,3],[]) => False
[("0","00"),("000","0001"),("0111","1"),("1000","1101")] => ([0,1,2,3],[]) => False
[("0","00"),("000","0001"),("0111","1"),("1100","0")] => ([0,1,2,3],[]) => False
[("0","00"),("000","0001"),("0111","1"),("1110","1")] => ([0,1,2,3],[]) => False
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[("0","00"),("000","0001"),("1","0110"),("101","1")] => ([0,1,2,3],[]) => False
[("0","00"),("000","0001"),("1","10"),("1101","1")] => ([0,1,2,3],[]) => False
[("0","00"),("000","0001"),("1","110"),("1001","0")] => ([0,1,2,3],[]) => False
[("0","00"),("000","0001"),("1","110"),("1011","1")] => ([0,1,2,3],[]) => False
[("0","00"),("000","0001"),("1","110"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("000","0001"),("100","01"),("1011","1")] => ([0,1,2,3],[]) => False
[("0","00"),("000","0001"),("100","01"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("000","0001"),("100","110"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("000","0001"),("100","1110"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("000","0001"),("1000","01"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("000","0001"),("1100","111"),("1111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("000","001"),("000","01"),("0111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("000","001"),("000","01"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("000","001"),("0000","01"),("0111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("000","001"),("0000","01"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("000","001"),("0000","010"),("0101","10")] => ([0,1,2,3],[]) => False
[("0","00"),("000","001"),("0001","00"),("1","110")] => ([0,1,2,3],[]) => False
[("0","00"),("000","001"),("0001","00"),("1","1101")] => ([0,1,2,3],[]) => False
[("0","00"),("000","001"),("0001","011"),("0011","0")] => ([0,1,2,3],[]) => False
[("0","00"),("000","001"),("0001","011"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("000","001"),("0001","10"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("000","001"),("0001","100"),("001","0")] => ([0,1,2,3],[]) => False
[("0","00"),("000","001"),("0001","101"),("0101","0")] => ([0,1,2,3],[]) => False
[("0","00"),("000","001"),("0001","101"),("0101","10")] => ([0,1,2,3],[]) => False
[("0","00"),("000","001"),("0001","11"),("011","0")] => ([0,1,2,3],[]) => False
[("0","00"),("000","001"),("0001","11"),("1111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("000","001"),("0001","110"),("0110","0")] => ([0,1,2,3],[]) => False
[("0","00"),("000","001"),("0001","110"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("000","001"),("0001","111"),("0111","0")] => ([0,1,2,3],[]) => False
[("0","00"),("000","001"),("001","0"),("0101","1")] => ([0,1,2,3],[]) => False
[("0","00"),("000","001"),("001","0"),("0111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("000","001"),("001","0"),("1010","1")] => ([0,1,2,3],[]) => False
[("0","00"),("000","001"),("001","0"),("1011","1")] => ([0,1,2,3],[]) => False
[("0","00"),("000","001"),("001","0"),("1011","11")] => ([0,1,2,3],[]) => False
[("0","00"),("000","001"),("001","0"),("1101","1")] => ([0,1,2,3],[]) => False
[("0","00"),("000","001"),("001","0"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("000","001"),("001","10"),("0111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("000","001"),("001","10"),("1011","1")] => ([0,1,2,3],[]) => False
[("0","00"),("000","001"),("001","10"),("1101","1")] => ([0,1,2,3],[]) => False
[("0","00"),("000","001"),("001","11"),("0110","0")] => ([0,1,2,3],[]) => False
[("0","00"),("000","001"),("0010","011"),("0110","0")] => ([0,1,2,3],[]) => False
[("0","00"),("000","001"),("0010","011"),("0111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("000","001"),("0010","100"),("0011","01")] => ([0,1,2,3],[]) => False
[("0","00"),("000","001"),("0010","100"),("01","0")] => ([0,1,2,3],[]) => False
[("0","00"),("000","001"),("0010","101"),("0111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("000","001"),("0010","101"),("1010","0")] => ([0,1,2,3],[]) => False
[("0","00"),("000","001"),("0010","1010"),("0101","10")] => ([0,1,2,3],[]) => False
[("0","00"),("000","001"),("0010","1011"),("0111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("000","001"),("0010","11"),("110","0")] => ([0,1,2,3],[]) => False
[("0","00"),("000","001"),("0010","110"),("0111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("000","001"),("0010","110"),("1100","0")] => ([0,1,2,3],[]) => False
[("0","00"),("000","001"),("0010","1100"),("0111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("000","001"),("0010","111"),("1110","0")] => ([0,1,2,3],[]) => False
[("0","00"),("000","001"),("0010","1111"),("1111","1")] => ([0,1,2,3],[]) => False
[("0","00"),("000","001"),("0011","0"),("1010","1")] => ([0,1,2,3],[]) => False
[("0","00"),("000","001"),("0011","0"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("000","001"),("0011","01"),("1","110")] => ([0,1,2,3],[]) => False
[("0","00"),("000","001"),("0011","01"),("1","1101")] => ([0,1,2,3],[]) => False
[("0","00"),("000","001"),("0011","01"),("1","1110")] => ([0,1,2,3],[]) => False
[("0","00"),("000","001"),("0011","01"),("10","1100")] => ([0,1,2,3],[]) => False
[("0","00"),("000","001"),("0011","01"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("000","001"),("0011","10"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("000","001"),("01","0"),("1010","1")] => ([0,1,2,3],[]) => False
[("0","00"),("000","001"),("01","0"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("000","001"),("01","010"),("0101","10")] => ([0,1,2,3],[]) => False
[("0","00"),("000","001"),("01","11"),("1110","0")] => ([0,1,2,3],[]) => False
[("0","00"),("000","001"),("01","110"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("000","001"),("01","1101"),("1110","1")] => ([0,1,2,3],[]) => False
[("0","00"),("000","001"),("010","11"),("1100","0")] => ([0,1,2,3],[]) => False
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