Problem 45500. Maximize the production in a plant within equipment capacity
 3 <= N <= 50 and 2 <= K <= 200
 For all i, P( i, 1) < P( i, 2).
 All N Points are mentioned at least once in P. Hence, N can be inferred from P.
 All elements of P are integers, and 1 <= P( i, 3) <= 100.
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I'm confused! Two successful solutions have been submitted, but I would swear that the test suite answers for problems 6 and 15 are incorrect. In problem 15, it is easy to see that there is no way to get a production rate higher than 43; yet the answer given is 44.
To clarify, here is a possible breakdown for Test Case 15: [34 goods can flow along path 121011] + [2 goods can flow along path 134811] + [8 goods can flow along path 137911] = 34 + 2 + 8 = 44. Take note that we can flow 34 goods from Point 10 to Point 11.
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