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A monotonic matrix of order n is an n X n matrix in which every cell contains 0 or 1 numbers from the set {1...n} subject to 3 conditions:
the filled-in entries in each row are strictly increasing;
the filled-in entries in each column are strictly decreasing;
for two filled-in cells with same entry, the one further right is higher (the positive slope condition).
See A070214 for more information.
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