[LeetCode] questions for Dynamic Programming

Given a triangle, find the minimum path sum from top to bottom. Each step you may move to adjacent numbers on the row below. For example, given the following triangle [ [2], [3,4], [6,5,7], [4,1,8,3] ] The minimum path sum from top to bottom is 11 (i

198. House Robber You are a professional robber planning to rob houses along a street. Each house has a certain amount of money stashed, the only constraint stopping you from robbing each of them is that adjacent houses have security system connected

Given two words word1 and word2, find the minimum number of operations required to convert word1to word2. You have the following 3 operations permitted on a word: Insert a character Delete a character Replace a character Example 1: Input: word1 = "ho

357. Count Numbers with Unique Digits Given a non-negative integer n, count all numbers with unique digits, x, where 0 ≤ x < 10n. Example:Given n = 2, return 91. (The answer should be the total numbers in the range of 0 ≤ x < 100, excluding [11,22,3

Alex and Lee play a game with piles of stones.  There are an even number of piles arranged in a row, and each pile has a positive integer number of stones piles[i]. The objective of the game is to end with the most stones.  The total number of stones

Given s1, s2, s3, find whether s3 is formed by the interleaving of s1 and s2. Example 1: Input: s1 = "aabcc", s2 = "dbbca", s3 = "aadbbcbcac" Output: true Example 2: Input: s1 = "aabcc", s2 = "dbbca", s3 =

We began our study of algorithmic techniques with greedy algorithms, which in some sense form the most natural approach to algorithm design. Faced with a new computational problem, we've seen that it's not hard to propose multiple possible greedy alg

在 Dynamic Programming | Set 1 (Overlapping Subproblems Property) 和 Dynamic Programming | Set 2 (Optimal Substructure Property) 中我们已经讨论了重叠子问题和最优子结构性质,现在我们来看一个可以使用动态规划来解决的问题:最长上升子序列(Longest Increasing Subsequence(LIS)). 最长上升子序列问题,致力于在一个给定的序列中找到一个最长的子序列

首先来看什么是最长公共子序列:给定两个序列,找到两个序列中均存在的最长公共子序列的长度.子序列需要以相关的顺序呈现,但不必连续.例如,"abc", "abg", "bdf", "aeg", '"acefg"等都是"abcdefg"的子序列.因此,一个长度为n的序列拥有2^n中可能的子序列(序列中的每一个元素只有选或者不选两种可能,因此是2^n). Example: LCS for inp