TAOCP 7.2.2.2 Exercise 463

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Section 7.2.2.2: Satisfiability

Exercise 463. ▶ [M21] $[M21]$ Show that $X$ is a fixed point of $\tau_1$, $\tau_2$, and $\tau_3$ if and only if its rows and columns are nondecreasing. Then show that sweep$(k)$ is a simple function of sweep $\sum_{i,j} x_{ij}$, where the sum is over all binary matrices of $m \times n$, and $k$.

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Solve time: 11m33s


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