Nonogram inference, whether any cell's value is forced in all solutions, is co-NP-complete, and empirically the chance that a filled cell is inferable jumps from near zero to near one as filled-cell density crosses roughly 0.40.
The Mathematical Intelligencer22(2), 9–15 (2000)
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Nonogram: Complexity of Inference and Phase Transition Behavior
Nonogram inference, whether any cell's value is forced in all solutions, is co-NP-complete, and empirically the chance that a filled cell is inferable jumps from near zero to near one as filled-cell density crosses roughly 0.40.