Download A Collection of Dynamic Programming Interview Questions by Dr Antonio Gulli PDF

By Dr Antonio Gulli

This ebook offers a suite of Dynamic programming difficulties, their resolution, and the C++ code regarding them.

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Extra resources for A Collection of Dynamic Programming Interview Questions Solved in C++

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Segment Partition -– Given a segment of integer lengthn, cut it into different integer parts in such a way to maximize the product of the lengths of all parts. Solution We can split the segment for all the integer positions and compute the max product of the two parts. If we split it in position, then the product is. In addition, the part can be further split. So the product can be reclusively computed as. The base cases are. seg[n - i]) seg[n - i] = segmentDPhelper(n - i, seg); m = std::max(m, std::max(i * (n - i), seg[n - i] * i)); } return m; } unsigned int segmentDP(unsigned int n) { if (n == 0 || n == 1) return 0; std::vector seg(n, 0); return segmentDPhelper(n, seg); } Complexity Linear in time and space 24.

Max Submatrix – Given a matrix of size find the maximum sum rectangle 29. Given a Binary Search Tree, find the size of the largest independent set of nodes 30. Optimal Binary Tree – given a set of tuples , where is an integer and is the number of times that has been observed, build a binary search three such that the total cost of all single searches is minimized 31. Boolean Parenthesization – given a Boolean expression of and, or, xor, true, false, find the number of ways to parenthesize and evaluate to true 32.

A box can be stacked only on top of another box with larger base. 21. Sum Subset -– Given an array of integers of size, partition it in such a way that the two subsets have equal sum 22. Partition Set – partition a multiset S of positive integers into two subsets and, such that the sum of the numbers in equals the sum of the numbers in 23. Segment Partition -– Given a segment of integer length, cut it into different integer parts in such a way to maximize the product of the lengths of all parts.

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