MAYBE Problem: 0(1(2(x1))) -> 1(2(1(2(x1)))) 0(0(1(0(x1)))) -> 2(1(2(2(2(x1))))) 0(1(0(0(0(x1))))) -> 0(1(2(0(1(2(1(x1))))))) 2(0(0(2(2(0(1(1(x1)))))))) -> 2(1(2(2(2(1(2(2(2(0(0(1(2(2(2(2(x1)))))))))))))))) 0(2(1(2(0(0(2(2(1(2(0(2(1(x1))))))))))))) -> 0(2(1(0(0(2(1(0(1(2(2(2(2(x1))))))))))))) 1(0(2(0(2(1(0(2(2(0(2(2(0(x1))))))))))))) -> 2(1(0(0(1(2(2(1(0(0(2(0(1(0(1(x1))))))))))))))) 1(2(0(1(1(1(2(2(0(2(0(1(0(x1))))))))))))) -> 2(1(2(2(1(2(2(2(1(2(1(2(0(0(2(x1))))))))))))))) 2(2(0(2(2(2(2(0(1(0(0(2(1(x1))))))))))))) -> 2(1(2(0(2(1(1(2(2(1(1(1(2(1(1(1(1(1(1(x1))))))))))))))))))) 1(2(2(0(1(2(2(1(2(0(2(2(0(1(x1)))))))))))))) -> 1(2(0(1(0(1(2(0(1(2(2(2(2(2(x1)))))))))))))) 1(0(2(2(2(2(1(2(1(1(1(0(2(0(0(2(x1)))))))))))))))) -> 1(2(0(0(2(0(2(2(1(2(1(1(1(0(0(1(2(0(x1)))))))))))))))))) 1(1(2(1(0(0(0(2(0(2(0(2(2(0(0(0(x1)))))))))))))))) -> 2(0(0(1(2(2(1(0(2(1(2(1(2(2(1(2(2(0(0(1(0(2(x1)))))))))))))))))))))) 2(1(0(1(0(0(0(2(2(2(0(1(0(0(0(2(x1)))))))))))))))) -> 2(2(2(0(2(1(0(1(0(0(1(1(2(2(2(1(2(1(2(2(1(x1))))))))))))))))))))) 0(1(0(0(2(0(0(2(0(1(1(0(1(0(2(1(0(x1))))))))))))))))) -> 0(2(1(2(1(2(2(0(2(1(1(2(2(1(2(1(1(2(2(1(0(2(0(1(0(x1))))))))))))))))))))))))) 1(2(0(2(0(0(0(0(2(0(0(2(0(1(0(0(0(0(x1)))))))))))))))))) -> 1(2(1(1(2(2(2(1(0(1(2(0(2(0(1(1(2(0(2(2(2(1(x1)))))))))))))))))))))) 2(1(1(1(2(1(1(2(2(2(0(2(1(1(1(1(0(0(x1)))))))))))))))))) -> 2(1(1(0(1(2(2(2(1(2(1(2(0(2(1(2(2(2(0(0(1(2(x1)))))))))))))))))))))) 1(2(0(0(1(0(2(0(2(2(0(1(0(0(0(1(2(1(1(x1))))))))))))))))))) -> 1(2(1(1(0(2(0(1(0(2(1(0(0(1(2(0(1(1(2(2(x1)))))))))))))))))))) 0(1(2(0(2(1(1(2(1(1(0(1(0(1(2(0(2(2(0(2(x1)))))))))))))))))))) -> 2(2(2(1(1(2(1(2(2(2(2(2(1(2(0(1(2(1(0(2(0(2(0(2(2(x1))))))))))))))))))))))))) 0(2(0(2(1(0(1(1(1(1(0(1(2(0(2(1(1(1(1(0(0(x1))))))))))))))))))))) -> 0(2(2(1(2(0(2(2(2(0(1(2(1(2(1(1(1(1(1(2(1(2(0(x1))))))))))))))))))))))) 0(1(2(2(0(0(0(2(2(2(2(2(2(2(2(0(1(1(2(1(0(2(0(x1))))))))))))))))))))))) -> 0(0(0(0(2(1(2(0(1(1(1(2(0(0(1(1(2(1(2(2(1(1(2(2(1(2(2(x1))))))))))))))))))))))))))) 1(1(1(1(2(0(1(0(2(2(0(2(2(2(1(0(1(1(1(0(2(2(0(x1))))))))))))))))))))))) -> 2(2(2(0(2(1(2(2(1(0(1(0(1(1(2(2(2(1(2(1(0(1(0(0(1(0(2(1(x1)))))))))))))))))))))))))))) 1(1(2(0(0(1(2(1(0(2(0(1(0(2(1(0(1(2(1(1(2(0(2(x1))))))))))))))))))))))) -> 2(1(2(1(2(1(1(0(2(1(2(2(1(1(1(1(0(1(0(1(2(1(2(1(x1)))))))))))))))))))))))) 2(0(0(0(0(1(2(0(0(1(0(2(2(0(1(1(1(2(1(0(0(0(2(x1))))))))))))))))))))))) -> 2(0(0(1(0(1(0(1(2(2(1(0(1(2(0(2(0(1(1(2(2(0(1(2(1(1(x1)))))))))))))))))))))))))) 0(0(1(0(0(0(2(0(2(2(2(2(1(2(2(0(2(2(2(1(0(2(1(1(x1)))))))))))))))))))))))) -> 2(1(0(1(1(1(2(0(2(1(2(0(1(0(2(1(1(1(2(0(1(2(1(1(1(2(2(x1))))))))))))))))))))))))))) 0(0(0(0(0(0(1(1(0(1(1(0(0(2(1(0(2(0(0(1(0(1(0(0(0(x1))))))))))))))))))))))))) -> 2(1(2(1(1(2(0(1(0(0(2(1(1(1(2(0(2(2(1(0(2(1(1(2(2(2(1(1(1(x1))))))))))))))))))))))))))))) 0(1(2(1(2(0(0(0(1(1(2(0(0(2(0(1(0(0(1(0(0(2(2(1(1(x1))))))))))))))))))))))))) -> 0(1(2(2(2(2(2(0(0(1(0(0(2(2(2(1(0(2(0(1(2(2(0(2(0(1(2(2(1(2(x1)))))))))))))))))))))))))))))) 2(1(0(0(1(1(0(0(1(1(0(2(1(1(1(1(0(1(2(1(0(2(2(1(1(x1))))))))))))))))))))))))) -> 2(2(2(0(0(2(2(2(0(0(0(0(2(2(0(0(2(0(1(0(1(0(1(2(2(2(2(x1))))))))))))))))))))))))))) 0(0(1(0(1(2(1(2(1(0(1(1(2(2(0(2(2(1(1(2(1(0(2(2(0(2(x1)))))))))))))))))))))))))) -> 0(2(1(2(1(2(2(0(0(0(1(0(2(0(1(2(2(1(0(0(1(1(2(2(2(2(2(0(1(2(1(x1))))))))))))))))))))))))))))))) 1(0(0(0(1(0(0(0(1(2(2(1(1(0(0(2(0(1(0(1(2(0(0(0(1(1(x1)))))))))))))))))))))))))) -> 2(1(2(1(1(2(0(1(2(2(0(2(1(1(1(2(1(1(2(2(0(0(0(2(2(0(1(1(x1)))))))))))))))))))))))))))) 1(0(0(0(1(1(2(2(0(0(1(2(0(2(1(2(1(1(1(2(0(1(0(0(2(1(x1)))))))))))))))))))))))))) -> 1(1(2(2(1(1(0(0(1(1(2(2(1(1(0(2(2(1(2(2(1(2(1(0(0(1(1(2(2(1(x1)))))))))))))))))))))))))))))) 1(0(2(2(1(1(1(0(0(1(1(1(1(2(2(2(2(1(0(2(2(2(2(0(2(0(x1)))))))))))))))))))))))))) -> 2(1(2(1(2(2(1(1(0(0(1(2(1(0(2(2(2(0(0(1(2(1(2(1(2(0(x1)))))))))))))))))))))))))) 1(2(0(1(2(0(0(0(0(2(2(2(2(0(1(2(0(0(0(1(1(0(2(0(1(1(0(x1))))))))))))))))))))))))))) -> 2(2(1(2(0(1(2(1(0(0(2(0(1(2(2(0(0(1(2(2(2(2(2(2(2(2(2(2(0(2(2(2(2(0(x1)))))))))))))))))))))))))))))))))) 0(1(0(2(0(2(1(0(2(2(0(1(0(0(0(2(1(0(0(2(1(2(1(0(1(1(0(1(x1)))))))))))))))))))))))))))) -> 2(1(2(2(1(0(0(1(0(2(1(0(0(1(1(2(0(2(1(1(0(1(2(1(0(1(2(1(0(0(1(2(2(1(x1)))))))))))))))))))))))))))))))))) 1(0(0(1(0(2(2(2(2(2(0(0(1(0(2(0(2(2(1(2(2(0(0(0(1(1(0(0(x1)))))))))))))))))))))))))))) -> 0(1(2(0(0(2(1(0(2(0(1(2(1(2(2(2(1(1(2(0(1(1(1(0(1(2(2(2(0(2(2(1(x1)))))))))))))))))))))))))))))))) 2(1(0(0(0(2(0(2(1(1(0(2(2(1(1(0(2(0(2(2(1(2(2(0(2(0(2(0(x1)))))))))))))))))))))))))))) -> 2(1(0(0(0(1(2(2(1(2(1(1(1(2(2(0(0(2(0(1(2(1(0(0(1(0(0(1(1(x1))))))))))))))))))))))))))))) 0(1(0(2(2(0(1(2(1(0(2(1(1(1(1(2(1(0(0(2(1(0(1(2(1(0(1(0(1(x1))))))))))))))))))))))))))))) -> 1(2(2(1(2(2(0(2(2(1(2(0(2(0(1(0(1(2(1(0(2(2(1(1(1(0(0(1(1(1(2(x1))))))))))))))))))))))))))))))) 1(1(2(1(2(0(2(2(0(0(1(2(1(0(1(0(0(1(1(2(0(0(0(2(0(0(2(1(0(x1))))))))))))))))))))))))))))) -> 1(2(2(0(0(1(2(2(1(1(2(2(2(0(2(1(0(2(2(2(1(0(1(0(2(2(2(0(1(0(2(x1))))))))))))))))))))))))))))))) 0(2(1(0(2(0(2(1(0(1(0(1(0(2(1(2(0(2(2(1(1(0(1(1(0(2(2(2(2(1(0(x1))))))))))))))))))))))))))))))) -> 0(2(1(1(2(2(2(1(2(2(2(2(1(2(0(1(1(2(1(0(1(1(1(2(1(0(2(2(2(1(2(0(2(1(2(0(2(x1))))))))))))))))))))))))))))))))))))) 0(2(1(0(2(2(2(1(0(2(1(1(2(2(2(1(1(1(0(2(1(1(0(2(1(0(2(2(1(0(0(x1))))))))))))))))))))))))))))))) -> 2(1(1(0(1(2(0(1(2(2(1(2(0(2(1(0(0(2(1(0(1(2(2(1(1(1(2(2(1(2(0(1(2(1(1(1(1(1(x1)))))))))))))))))))))))))))))))))))))) 1(0(2(2(0(0(1(0(1(2(2(0(2(1(0(1(1(0(0(0(2(2(2(0(2(2(2(2(1(1(2(x1))))))))))))))))))))))))))))))) -> 1(0(2(0(0(1(2(1(1(2(2(1(1(1(1(0(0(1(0(0(2(2(0(1(2(1(1(0(1(1(1(2(0(1(2(x1))))))))))))))))))))))))))))))))))) 0(2(2(1(2(0(0(2(0(2(0(0(1(1(1(2(0(2(2(1(2(2(1(0(2(0(0(0(2(2(0(1(1(x1))))))))))))))))))))))))))))))))) -> 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2(0(2(2(0(2(0(1(0(0(1(2(1(1(2(0(2(1(1(0(0(1(1(1(0(0(2(2(1(2(2(1(0(0(0(2(0(0(0(1(2(2(x1)))))))))))))))))))))))))))))))))))))))))) 1(2(0(2(2(2(2(2(2(1(1(2(1(0(2(2(2(0(0(0(2(1(0(1(0(1(0(0(0(1(1(1(1(0(0(2(0(2(0(0(0(0(x1)))))))))))))))))))))))))))))))))))))))))) -> 1(0(1(2(2(1(0(1(1(1(2(0(1(2(1(0(0(2(1(1(2(2(1(0(2(0(0(1(2(2(1(1(1(1( 0 ( 0(0(0(0(1(2(0(1(1(x1)))))))))))))))))))))))))))))))))))))))))))) 1(1(0(0(0(0(0(2(2(0(0(0(2(1(0(2(0(2(1(1(1(1(0(0(1(1(0(1(0(0(1(0(1(1(1(1(1(2(0(0(1(0(0(x1))))))))))))))))))))))))))))))))))))))))))) -> 0(0(0(1(1(2(0(0(1(0(1(1(2(2(0(2(2(2(2(1(1(0(0(1(0(0(0(0(0(2(0(2(0(0( 0 ( 0(1(2(0(1(2(2(1(2(x1)))))))))))))))))))))))))))))))))))))))))))) 0(1(0(0(1(0(1(0(0(0(1(0(2(1(0(0(1(1(1(2(0(2(2(2(0(0(0(2(0(0(0(2(0(2( 2 ( 0(0(2(1(2(1(1(0(2(x1)))))))))))))))))))))))))))))))))))))))))))) -> 1(2(1(1(0(0(1(2(0(2(2(2(0(1(0(2(1(0(1(0(2(2(0(1(0(2(1(2(0(0(1(2(2(0( 2 ( 2 ( 0 ( 0 ( 1 ( 2(1(2(0(1(1(1(0(2(x1)))))))))))))))))))))))))))))))))))))))))))))))) 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2(1(2(2(1(1(2(0(1(1(0(0(0(1(1(1(0(0(2(1(2(1(2(1(2(2(1(2(2(1(2(0(1(0( 2 ( 1 ( 1 ( 1 ( 0 ( 0 ( 1(2(2(2(0(2(0(0(1(x1))))))))))))))))))))))))))))))))))))))))))))))))) 2(2(1(1(1(2(2(1(1(0(0(1(0(0(2(1(2(2(0(1(1(0(0(0(1(0(0(2(0(0(1(0(0(0( 2 ( 1 ( 2 ( 2(0(0(2(0(1(0(1(1(x1)))))))))))))))))))))))))))))))))))))))))))))) -> 2(1(0(0(1(2(2(0(1(1(0(2(2(1(0(1(1(2(2(0(1(0(2(0(0(0(0(0(1(1(0(0(1(2( 2 ( 0 ( 0 ( 1 ( 0 ( 0(1(2(2(2(1(2(1(1(x1)))))))))))))))))))))))))))))))))))))))))))))))) 0(0(0(1(1(0(1(0(0(1(2(0(1(1(1(2(2(0(2(2(1(1(1(1(1(1(1(2(1(2(0(0(1(2( 1 ( 2 ( 0 ( 1 ( 1(0(1(0(2(0(2(0(2(x1))))))))))))))))))))))))))))))))))))))))))))))) -> 1(1(2(1(1(0(0(0(1(2(1(2(1(0(1(1(2(1(0(2(0(0(2(0(0(2(0(2(1(0(0(1(2(0( 1 ( 1 ( 2 ( 0 ( 2 ( 2(2(2(1(2(1(0(0(2(x1)))))))))))))))))))))))))))))))))))))))))))))))) 1(1(1(1(0(0(1(0(1(2(1(0(1(0(2(2(0(2(0(2(0(1(1(1(2(0(1(2(0(0(2(0(0(2( 0 ( 0 ( 2 ( 1 ( 2(1(0(1(0(2(2(1(0(x1))))))))))))))))))))))))))))))))))))))))))))))) -> 0(0(1(2(0(0(1(0(1(0(1(0(2(0(1(2(1(0(2(1(2(2(2(2(0(0(1(1(0(2(0(2(1(0( 1 ( 2 ( 1 ( 2 ( 1 ( 2 ( 2 ( 2(2(1(1(1(2(0(1(2(x1)))))))))))))))))))))))))))))))))))))))))))))))))) 1(1(1(2(0(1(2(1(0(0(1(1(2(0(0(2(1(1(0(0(1(0(2(1(1(1(0(2(2(2(2(0(1(2( 0 ( 2 ( 1 ( 1 ( 2(0(2(2(0(2(0(0(0(x1))))))))))))))))))))))))))))))))))))))))))))))) -> 1(1(1(2(1(2(0(2(1(1(1(2(2(2(1(2(2(2(0(0(0(0(1(0(1(2(2(0(1(0(1(2(0(2( 1 ( 0 ( 2 ( 2 ( 2 ( 0 ( 2 ( 0(1(0(1(2(1(2(1(0(x1)))))))))))))))))))))))))))))))))))))))))))))))))) 2(0(0(2(2(0(0(1(0(1(1(1(2(0(2(0(2(2(2(1(1(1(2(2(0(0(0(1(2(1(1(2(1(2( 0 ( 2 ( 1 ( 1 ( 0 ( 0(2(0(2(0(2(2(2(0(x1)))))))))))))))))))))))))))))))))))))))))))))))) -> 2(0(2(2(1(2(2(1(2(2(0(2(2(0(1(2(0(0(0(0(2(2(2(0(1(0(0(0(1(2(0(2(2(0( 1 ( 2 ( 2 ( 1 ( 2 ( 2 ( 1(1(0(0(0(1(0(1(2(x1))))))))))))))))))))))))))))))))))))))))))))))))) 1(2(1(1(1(2(0(1(0(2(2(0(2(1(1(1(1(1(1(0(0(2(2(1(0(1(2(0(2(0(0(1(0(0( 0 ( 1 ( 1 ( 0 ( 2 ( 1 ( 1(2(2(2(1(0(1(1(1(x1))))))))))))))))))))))))))))))))))))))))))))))))) -> 2(2(1(0(1(0(0(1(0(0(2(1(2(1(1(2(1(1(2(0(1(2(1(1(0(1(0(0(1(0(2(1(2(0( 0 ( 1 ( 2 ( 0 ( 2 ( 1 ( 1(2(1(2(1(1(1(0(1(x1))))))))))))))))))))))))))))))))))))))))))))))))) Proof: Open