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POhow to apply dynamic programming in finding the minimum cost to create the tower in a field
 

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  1. POhow to apply dynamic programming in finding the minimum cost to create the tower in a field
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    <p>you are given an <code>N X M</code> rectangular field with bottom left point at the origin. You have to construct a tower with square base in the field. There are trees in the field with associated cost to uproot them. So you have to minimize the number of trees uprooted to minimize the cost of constructing the tower. </p> <p><strong>Example Input:</strong> </p> <pre><code>N = 4 M = 3 Lenght of side of Tower = 1 Number of Trees in the field = 4 1 3 5 3 3 4 2 2 1 2 1 2 </code></pre> <p>The 4 rows in the Input are the coordinates of the tree with cost for uprooting as the third integer. </p> <p>Tree coinciding with the edge of the tower is considered as placed inside the tower and have to be uprooted as well. </p> <p>I'm facing problem in formulating the Dynamic Programming relation for this problem </p> <p>thanks</p>
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    1. CODo you have bounds on M and N? How about the size of the tower?
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    2. COthere are reasonable bounds mentioned . 2≤N, M ≤ 1000
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    3. COWhat is the cost function? Case A: 10sq tower and 5 tree cost vs Case B: 11sq tower and 6 tree cost. Which one is optimal?
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