problem 292. Nim Game solution class Solution { public: bool canWinNim(int n) { ; } }; 来generalize一下这道题,当可以拿1-n个石子时,那么个数为(n+1)的整数倍时一定会输,我们试着证明一下这个结论,若当前共有m*(n+1)个石子,那么: 当m=1时,即剩n+1个的时候,肯定会输,因为不管你取1-n中的任何一个数字,另一个人都可以取完. 当m>1时,即有m*(n+1)的时候,不管你先取1-n中的任何…

作者: 负雪明烛 id: fuxuemingzhu 个人博客: http://fuxuemingzhu.cn/ 目录 题目描述 题目大意 解题方法 日期 题目地址:https://leetcode.com/problems/nim-game/ Total Accepted: 66290 Total Submissions: 125590 Difficulty: Easy 题目描述 You are playing the following Nim Game with your friend: T…

题目链接:https://leetcode-cn.com/problems/nim-game/description/ 您和您的朋友,两个人一起玩 Nim游戏:桌子上有一堆石头,每次你们轮流拿掉 1 到 3 块石头. 拿掉最后一块石头的人就是胜利者.由您来开局. 你们两个都是聪明人,相信都有最佳的游戏策略. 请编写一个函数,来判断您是否可以在给定的石头数量的情况下赢得游戏. 比方说,如果堆中有4块石头,那么你永远不会赢得比赛:无论你拿走的是 1块,2块 还是 3块 石头,最后一块石头总是会被你的…

一天一道LeetCode 从今天开始,调整规律,不按顺序做,从easy开始! 本系列文章已全部上传至我的github,地址:ZeeCoder's Github 欢迎大家关注我的新浪微博,我的新浪微博 欢迎转载,转载请注明出处 (一)题目 You are playing the following Nim Game with your friend: There is a heap of stones on the table, each time one of you take turns to…

[LeetCode]Minimum Depth of Binary Tree Given a binary tree, find its minimum depth. The minimum depth is the number of nodes along the shortest path from the root node down to the nearest leaf node. 递归和非递归,此提比较简单.广度优先遍历即可.关键之处就在于如何保持访问深度. 下面是4种代码: im…

Given an index k, return the kth row of the Pascal's triangle. For example, given k = 3, Return [1,3,3,1]. Note: Could you optimize your algorithm to use only O(k) extra space? 思路:最简单的方法就是依照[Leetcode]Pascal's Triangle 的方式自顶向下依次求解,但会造成空间的浪费.若仅仅用一个vect…

53. Maximum Subarray[leetcode] Find the contiguous subarray within an array (containing at least one number) which has the largest sum. For example, given the array [-2,1,-3,4,-1,2,1,-5,4],the contiguous subarray [4,-1,2,1] has the largest sum = 6. 挑…

27. Remove Element[leetcode] Given an array and a value, remove all instances of that value in place and return the new length. Do not allocate extra space for another array, you must do this in place with constant memory. The order of elements can b…

[刷题][LeetCode]总 用动画的形式呈现解LeetCode题目的思路 参考链接-空 007-整数反转 方法: 弹出和推入数字 & 溢出前进行检查 思路: 我们可以一次构建反转整数的一位数字.在这样做的时候,我们可以预先检查向原整数附加另一位数字是否会导致溢出. 算法: 反转整数的方法可以与反转字符串进行类比. 我们想重复"弹出" x 的最后一位数字,并将它"推入"到 rev 的后面.最后,rev 将与 x 相反. 要在没有辅助堆栈 / 数组的帮助下…

[刷题][LeetCode]总 用动画的形式呈现解LeetCode题目的思路 参考链接 000-十大经典排序算法…

Algorithm [leetcode]893. Groups of Special-Equivalent Strings https://leetcode.com/problems/groups-of-special-equivalent-strings/ 1)problem You are given an array A of strings. Two strings S and T are special-equivalent if after any number of moves,…

Algorithm [leetcode]657. Robot Return to Origin https://leetcode.com/problems/robot-return-to-origin/ 1)problem There is a robot starting at position (0, 0), the origin, on a 2D plane. Given a sequence of its moves, judge if this robot ends up at (0,…

Algorithm [leetcode]557. Reverse Words in a String III https://leetcode.com/problems/reverse-words-in-a-string-iii/ 1)problem Given a string, you need to reverse the order of characters in each word within a sentence while still preserving whitespace…

写在前面   老粉丝可能知道现阶段的LeetCode刷题将按照某一个特定的专题进行,之前的[贪心算法]已经结束,虽然只有三个题却包含了简单,中等,困难这三个维度,今天介绍的是第二个专题[数组] 数组(Array)是一种线性表数据结构.它用一组连续的内存空间,来存储一组具有相同类型的数据.在每一种编程语言中,基本都会有数组这种数据类型.不过,它不仅仅是一种编程语言中的数据类型,还是一种最基础的数据结构. 贪心算法回顾: [LeetCode]贪心算法--买卖股票的最佳时机II(122) [LeetC…

全排列问题.经常使用的排列生成算法有序数法.字典序法.换位法(Johnson(Johnson-Trotter).轮转法以及Shift cursor cursor* (Gao & Wang)法. [题目] Given a collection of numbers, return all possible permutations. For example, [1,2,3] have the following permutations: [1,2,3], [1,3,2], [2,1,3], [2…

[CF662A]Gambling Nim 题意:n长卡牌,第i张卡牌正面的数字是$a_i$,反面的数字是$b_i$,每张卡牌等概率为正面朝上或反面朝上.现在Alice和Bob要用每张卡牌朝上的数字玩NIM游戏,问先手获胜的概率. $n\le 5000,a_i,b_i\le 10^{18}$ 题解:傻逼题都不会了,先令所有的都是正面朝上,再令$S=a_1\ \text{xor}\ a_2...a_n,c_i=a_i\ \text{xor}\ b_i$,则问题变成了选出一些$c_i$使得异或和为$S…

[BZOJ3105]新Nim游戏(线性基) 题面 BZOJ Description 传统的Nim游戏是这样的:有一些火柴堆,每堆都有若干根火柴(不同堆的火柴数量可以不同).两个游戏者轮流操作,每次可以选一个火柴堆拿走若干根火柴.可以只拿一根,也可以拿走整堆火柴,但不能同时从超过一堆火柴中拿.拿走最后一根火柴的游戏者胜利. 本题的游戏稍微有些不同:在第一个回合中,第一个游戏者可以直接拿走若干个整堆的火柴.可以一堆都不拿,但不可以全部拿走.第二回合也一样,第二个游戏者也有这样一次机会.从第三个回合(…

[题目] Given a collection of numbers that might contain duplicates, return all possible unique permutations. For example, [1,1,2] have the following unique permutations: [1,1,2], [1,2,1], and [2,1,1]. [解析] 题意:求一个数组的全排列.与[LeetCode]Permutations 解题报告 不同的是…

[leetcode]438. Find All Anagrams in a String Given a string s and a non-empty string p, find all the start indices of p's anagrams in s. Strings consists of lowercase English letters only and the length of both strings s and p will not be larger than…

[LeetCode]First Missing Positive Given an unsorted integer array, find the first missing positive integer. For example, Given [1,2,0] return 3, and [3,4,-1,1] return 2. Your algorithm should run in O(n) time and uses constant space. 找到第一个没有出现的正整数 思路:…

题目等级:Easy 题目描述: Determine whether an integer is a palindrome. An integer is a palindrome when it reads the same backward as forward. Example 1: Input: 121 Output: true Example 2: Input: -121 Output: false Explanation: From left to right, it reads -12…

Given a linked list, return the node where the cycle begins. If there is no cycle, return null. Follow up: Can you solve it without using extra space? 思路:由[Leetcode]Linked List Cycle可知.利用一快一慢两个指针可以推断出链表是否存在环路. 如果两个指针相遇之前slow走了s步,则fast走了2s步.而且fast已经在长…

使用最小花费爬楼梯 数组的每个索引做为一个阶梯,第 i个阶梯对应着一个非负数的体力花费值 cost[i](索引从0开始). 每当你爬上一个阶梯你都要花费对应的体力花费值,然后你可以选择继续爬一个阶梯或者爬两个阶梯. 您需要找到达到楼层顶部的最低花费.在开始时,你可以选择从索引为 0 或 1 的元素作为初始阶梯. 示例 1: 输入: cost = [10, 15, 20] 输出: 15 解释: 最低花费是从cost[1]开始,然后走两步即可到阶梯顶,一共花费15. 示例 2: 输入: cost =…

题目如下: An integer has sequential digits if and only if each digit in the number is one more than the previous digit. Return a sorted list of all the integers in the range [low, high] inclusive that have sequential digits. Example 1: Input: low = 100,…

题目等级:4Sum II(Medium) 题目描述: Given four lists A, B, C, D of integer values, compute how many tuples (i, j, k, l) there are such that A[i] + B[j] + C[k] + D[l] is zero. To make problem a bit easier, all A, B, C, D have same length of N where 0 ≤ N ≤ 500…

题目等级:4Sum(Medium) 题目描述: Given an array nums of n integers and an integer target, are there elements a, b, c, and d in nums such that a + b + c + d = target? Find all unique quadruplets in the array which gives the sum of target. Note: The solution se…

题目等级:3Sum(Medium) 题目描述: Given an array nums of n integers, are there elements a, b, c in nums such that a + b + c = 0? Find all unique triplets in the array which gives the sum of zero. Note: The solution set must not contain duplicate triplets. Exam…

Best Time to Buy and Sell Stock with Transaction Fee 题目等级:Medium 题目描述: Your are given an array of integers prices, for which the i-th element is the price of a given stock on day i; and a non-negative integer fee representing a transaction fee. You m…

题目如下: 解题思路:本题是[leetcode]473. Matchsticks to Square的姊妹篇,唯一的区别是[leetcode]473. Matchsticks to Square指定了分成四个子数组,而本题分成的份数不定,作为参数输入.另外,本题的测试用例好像复杂一点,因此我过滤掉了nums中值等于avg的元素,不参与后面的DFS计算,提高效率. 代码如下: class Solution(object): def canPartitionKSubsets(self, nums,…

题目如下: Given an array of scores that are non-negative integers. Player 1 picks one of the numbers from either end of the array followed by the player 2 and then player 1 and so on. Each time a player picks a number, that number will not be available f…