Question: Problem 1 (20 points) We want to find an optimal binary search tree for keys that have the following probabilities: (.3, .2,.1,.05, .35). We have

Problem 1 (20 points) We want to find an optimal binary search tree for keys that have the following probabilities: (.3, .2,.1,.05, .35). We have started our dynamic programming solution and have partially filled the following e, w and root arrays as shown below. Compute the final solution and draw the optimal binary search tree. Explain your calculations. 13 5 1.0 1.15 22 4 55 1.35 .1 .2 95 05 .45 35 3 6 0|11213 4 3 .5 6 65 1.0 2 335 .7 115 5 05 4 35 1 1213 4 5
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