zoukankan      html  css  js  c++  java
  • USACO 3.3 A Game

    A Game
    IOI'96 - Day 1

    Consider the following two-player game played with a sequence of N positive integers (2 <= N <= 100) laid onto a 1 x N game board. Player 1 starts the game. The players move alternately by selecting a number from either the left or the right end of the gameboar. That number is then deleted from the board, and its value is added to the score of the player who selected it. A player wins if his sum is greater than his opponents.

    Write a program that implements the optimal strategy. The optimal strategy yields maximum points when playing against the "best possible" opponent. Your program must further implement an optimal strategy for player 2.

    PROGRAM NAME: game1

    INPUT FORMAT

    Line 1: N, the size of the board
    Line 2-etc: N integers in the range (1..200) that are the contents of the game board, from left to right

    SAMPLE INPUT (file game1.in)

    6
    4 7 2 9
    5 2
    

    OUTPUT FORMAT

    Two space-separated integers on a line: the score of Player 1 followed by the score of Player 2.

    SAMPLE OUTPUT (file game1.out)

    18 11


    ————————————————————————————————————
    博弈问题,所以用记忆化搜索,搜索每一个可能的状态寻找2先手或者1先手可以得到的最大值
    然后更新的时候用对方利益最小化来更新,然后就做完了
     1 /*
     2 ID: ivorysi
     3 PROG: game1
     4 LANG: C++
     5 */
     6 #include <iostream>
     7 #include <cstdio>
     8 #include <cstring>
     9 #include <algorithm>
    10 #include <queue>
    11 #include <set>
    12 #include <vector>
    13 #include <string.h>
    14 #define siji(i,x,y) for(int i=(x);i<=(y);++i)
    15 #define gongzi(j,x,y) for(int j=(x);j>=(y);--j)
    16 #define xiaosiji(i,x,y) for(int i=(x);i<(y);++i)
    17 #define sigongzi(j,x,y) for(int j=(x);j>(y);--j)
    18 #define inf 0x3f3f3f3f
    19 #define MAXN 400005
    20 #define ivorysi
    21 #define mo 97797977
    22 #define ha 974711
    23 #define ba 47
    24 #define fi first
    25 #define se second
    26 #define pii pair<int,int>
    27 using namespace std;
    28 typedef long long ll;
    29 int n;
    30 int a[105],sum[105];
    31 int dp[105][105];
    32 void init() {
    33     scanf("%d",&n);
    34     siji(i,1,n) {scanf("%d",&a[i]);sum[i]=sum[i-1]+a[i];}
    35     siji(i,1,n) siji(j,1,n) dp[i][j]=-1;
    36 }
    37 int dfs(int k,int l) {
    38     if(dp[k][l]!=-1) return dp[k][l];
    39     if(l==1) {return dp[k][1]=a[k];}
    40     int x=min(dfs(k,l-1),dfs(k+1,l-1));
    41     dp[k][l]=sum[k+l-1]-sum[k-1]-x;
    42     return dp[k][l];
    43 }
    44 void solve() {
    45     init();
    46     dfs(1,n);
    47     printf("%d %d
    ",dp[1][n],sum[n]-dp[1][n]);
    48 }
    49 int main(int argc, char const *argv[])
    50 {
    51 #ifdef ivorysi
    52     freopen("game1.in","r",stdin);
    53     freopen("game1.out","w",stdout);
    54 #else
    55     freopen("f1.in","r",stdin);
    56 #endif
    57     solve();
    58 }
     
  • 相关阅读:
    Win10下PB停在欢迎窗口界面
    iReport 中使用 Chart 图
    iReport 下载地址
    使用jasperreports-5.6.0.jar导致的问题
    iReport 开发和运行所用版本不一致导致设置字体大小不起作用
    AWS SAA summary--Exam
    构建zabbix监控实验-基础篇
    常用数据结构代码示例
    嵌入式相关知识点整理
    ADB 环境变量配置
  • 原文地址:https://www.cnblogs.com/ivorysi/p/6241357.html
Copyright © 2011-2022 走看看