有 n 个硬币排成一条线.两个参赛者轮流从右边依次拿走 1 或 2 个硬币,直到没有硬币为止.拿到最后一枚硬币的人获胜. 请判定 第一个玩家 是输还是赢? n = 1, 返回 true.n = 2, 返回 true.n = 3, 返回 false.n = 4, 返回 true.n = 5, 返回 true. 解法:DP, 复杂度 O(N), O(N) 最少是n = 3时,返回false,说明当一个player面临只有3个棋子的时候,他肯定会输.dp[i]表示的是,当有i个棋子的时候,先手玩家会不…

There are n coins with different value in a line. Two players take turns to take one or two coins from left side until there are no more coins left. The player who take the coins with the most value wins. Could you please decide the first player will…

There are n coins in a line. Two players take turns to take one or two coins from right side until there are no more coins left. The player who take the last coin wins. Could you please decide the first play will win or lose? Have you met this questi…

https://codesolutiony.wordpress.com/2015/05/24/lintcode-coins-in-a-line-iii/ A very juicy one! Deserve more consideration. class Solution { public: /** * @param values: a vector of integers * @return: a boolean which equals to true if the first playe…

Nice one to learn: DP + Game Theoryhttps://lefttree.gitbooks.io/leetcode/content/dynamicProgramming2/coinsInLine2.html In game theory, we assume the other player always take optimal step too. Combining with DP, we put this assumption together with ea…

Recursion + Memorized Search(DP). And apparently, the code below can be iterative with only 3 vars - DP. class Solution { unordered_map<int, bool> cache; public: bool go(int n) { ) return false; ) return true; if(cache.find(n) == cache.end()) { cach…

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…

变型:如果是最后拿走所有石子那个人输,则f[0] = true 394. Coins in a Line dp[n]表示n个石子,先手的人,是必胜还是必输.拿1个石子,2个石子之后都是必胜,则当前必败:拿1个石子,2个石子之后都是必败,则当前必胜:如果拿1个石子,2个石子之后有必败,则当前必胜. class Solution { public: /** * @param n: An integer * @return: A boolean which equals to true if the…

[题目描述] There are n coins in a line. Two players take turns to take one or two coins from right side until there are no more coins left. The player who take the last coin wins. Could you please decide the first play will win or lose? 有 n 个硬币排成一条线.两个参赛…

There are n coins in a line. Two players take turns to take one or two coins from right side until there are no more coins left. The player who take the last coin wins. Could you please decide the first play will win or lose? 该题类似于下题: 箱子里面有一百个球,甲和乙分别…