## Pots of Gold Game using Dynamic Programming

In Pots of gold game, there are two players A & B and pots of gold arranged in a line, each containing some gold coins. The players can see how many coins are there in each gold pot and each player

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In Pots of gold game, there are two players A & B and pots of gold arranged in a line, each containing some gold coins. The players can see how many coins are there in each gold pot and each player

Given a string, find minimum cuts needed to partition it such that each partition is a palindrome.

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

Given three strings, return true if third string is interleaving of first and second string. i.e., it is formed from all characters of first and second string and order of characters is preserved.

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.

The longest increasing subsequence problem is to find a subsequence of a given sequence in which the subsequence’s elements are in sorted order, lowest to highest, and in which the subsequence is as long as possible. This subsequence is not necessarily contiguous, or unique.

Word Break Problem: 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.

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.

Given a pattern, count number of times the pattern appears in the given string as a subsequence.