## 3 Partition Problem

3-partition problem: Given a set S of positive integers, determine if it can be partitioned into three disjoint subsets that all have same sum and they cover S.

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3-partition problem: Given a set S of positive integers, determine if it can be partitioned into three disjoint subsets that all have same sum and they cover S.

Given a string and a dictionary of words, determine if string can be segmented into a space-separated sequence of one or more dictionary words.

Given a linear equation of k variables, count total number of possible solutions of it.

The longest decreasing subsequence problem is to find a subsequence of a given sequence in which the subsequence’s elements are in sorted order, highest to lowest, and in which the subsequence is as long as possible.

Implement your own diff utility. i.e given two similar strings, efficiently list out all differences between them.

Given a mobile keypad having digits from [0-9] associated with each key, count total possible combinations of digits having length n. We can start with any digit and press only four adjacent keys of any digit. Keypad also contains * and # key which we are not allowed to press.

The longest common subsequence (LCS) problem is the problem of finding the longest subsequence that is present in given two sequences in the same order. i.e. find a longest sequence which can be obtained from the first original sequence by deleting some items, and from the second original sequence by deleting other items.

Given a string and a pattern containing wildcard characters i.e. ‘*’ and ‘?’, where ‘?’ can match to any single character in input string and ‘*’ can match to any number of characters including zero characters, design an efficient algorithm to find if the pattern matches with the complete input string or not.

Given an array of integers, find the maximum sum of subsequence of given array where subsequence contains no adjacent elements.

Given an array of integers, find contiguous subarray within it which has the largest sum.

Find optimal cost to construct binary search tree where each key can repeat several times. We are given frequency of each key in same order as corresponding keys in inorder traversal of a binary search tree.