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There are n trading posts along a river numbered 1, 2, 3,. , n. At any of the posts you can rent a canoe to be returned at any other post downstream. (It is impossible to paddle against the river, since it is too fast. ) For each possible departure point i and each possible arrival point j (> i), the cost of a rental from i to j is known: it is C[i,j] > 0. However, it can happen that the cost of renting from i to j is higher than the total costs of a series of shorter rentals from i to j. In this case you can return the first canoe at some post k between i and j and continue your journey in a second (and, maybe, third, fourth. ) canoe. There is no extra charge for changing canoes in this way. Requried:Give a dynamic programming algorithm to determine the minimum cost of a trip by canoe from each possible departure