## 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

In this post, we will discuss division of two numbers (integer or decimal) using Binary Search (Divide and Conquer) Algorithm.

Given a sorted array of integers, find floor and ceil of a given number in it. The floor and ceiling map the given number to the largest previous or the smallest following integer, respectively.

Given an array A which represents a binary tree such that the parent-child relationship is defined by (A[i], i) for every index i in the array A, build binary tree out of it.

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 M sorted lists of variable length, print them in sorted order efficiently.

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.

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.

Given an array of integers, find sub-array in it that has maximum product of its elements.

Given a list containing future prediction of share prices, find maximum profit that can be earned by buying and selling shares any number of times with constraint that a new transaction can only start after previous transaction is complete. i.e. we can only hold at-most one share at a time.

In trapping rain water problem, we need to find the maximum amount of water that can be trapped within given set of bars where width of each bar is 1 unit.