We are playing the Guess Game. The game is as follows:
I pick a number from 1 to n. You have to guess which number I picked.
Every time you guess wrong, I‘ll tell you whether the number I picked is higher or lower.
However, when you guess a particular number x, and you guess wrong, you pay $x. You win the game when you guess the number I picked.
Example:
n = 10, I pick 8. First round: You guess 5, I tell you that it‘s higher. You pay $5. Second round: You guess 7, I tell you that it‘s higher. You pay $7. Third round: You guess 9, I tell you that it‘s lower. You pay $9. Game over. 8 is the number I picked. You end up paying $5 + $7 + $9 = $21.
Given a particular n ≥ 1, find out how much money you need to have to guarantee a win.
Runtime: 56 ms, faster than 38.71% of C++ online submissions for Guess Number Higher or Lower II.
Memory Usage: 5.4 MB, less than 0.56% of C++ online submissions for Guess Number Higher or Lower II.
class Solution { vector<vector<int>>dp; public: int getMoneyAmount(int n) { dp.resize(n+1, vector<int>(n+1,0)); return DP(1,n); } int DP(int s, int e) { if(s >= e) return 0; if(dp[s][e] != 0) return dp[s][e]; int res = INT32_MAX; for(int x=s; x<=e; x++) { int tmp = x + max(DP(s,x-1),DP(x+1,e)); res = min(res, tmp); } dp[s][e] = res; return res; } };
原文地址:https://www.cnblogs.com/ethanhong/p/10361356.html
时间: 2024-10-11 06:44:03