nyoj_18 The Triangle
来源:互联网 发布:linux查看cpu进程 编辑:程序博客网 时间:2024/06/05 01:03
The Triangle
时间限制:1000 ms | 内存限制:65535 KB
难度:4
- 描述
7
3 8
8 1 0
2 7 4 4
4 5 2 6 5
(Figure 1)
Figure 1 shows a number triangle. Write a program that calculates the highest sum of numbers passed on a route that starts at the top and ends somewhere on the base. Each step can go either diagonally down to the left or diagonally down to the right.- 输入
- Your program is to read from standard input. The first line contains one integer N: the number of rows in the triangle. The following N lines describe the data of the triangle. The number of rows in the triangle is > 1 but <= 100. The numbers in the triangle, all integers, are between 0 and 99.
- 输出
- Your program is to write to standard output. The highest sum is written as an integer.
- 样例输入
573 88 1 0 2 7 4 44 5 2 6 5
- 样例输出
30
分析:
递推公式:dp[i][j]=max(dp[i-1][j],dp[i-1][j-1])+map[i][j]
代码:
#include<stdio.h>#include<string.h>int max(int a,int b){return a>=b?a:b;}int s[105][105];int dp[105][105];int main(){int N;while(scanf("%d",&N)!=EOF){memset(s,0,sizeof(s));memset(dp,0,sizeof(dp));int i,j;for(i=0;i<N;i++)for(j=0;j<=i;j++)scanf("%d",&s[i][j]);int ans=0;dp[0][0]=s[0][0];for(i=1;i<N;i++)for(j=0;j<=i;j++)if(j==0)dp[i][j]=dp[i-1][j]+s[i][j];else if(j==i)dp[i][j]=dp[i-1][j-1]+s[i][j];elsedp[i][j]=max(dp[i-1][j-1],dp[i-1][j])+s[i][j];for(i=0;i<N;i++)if(ans<dp[N-1][i])ans=dp[N-1][i];printf("%d\n",ans);}return 0;}
0 0
- nyoj_18 The Triangle
- The Triangle
- The Triangle
- The Triangle
- The Triangle
- The triangle
- The Triangle
- The Triangle
- The Triangle
- The Triangle
- The Triangle
- The Triangle
- The Triangle
- The Triangle
- The Triangle
- The Triangle
- The Triangle
- The Triangle
- java 实现大数的阶乘
- 堆排序讲解及Java实现
- Sublime Text3 支持Less
- hadoop日志存放路径(日志讲解好文章)&hadoop历史服务器
- 算法学习(九)回文的判断
- nyoj_18 The Triangle
- android开发步步为营之101:动态调整view的宽度和高度以及在页面的坐标位置
- @Param 注解在Mybatis中的使用 以及传递参数的三种方式
- 楼燚(yì)航的blog URL
- 发布项目到GitHub
- 【leetcode】105. Construct Binary Tree from Preorder and Inorder Traversal
- PHP防止表单重复提交的几种常用方法
- eclipse如何把文本文件在命令行输入
- 图解程序员画流程图、数据结构图及各种复杂图形的Graphviz工具入门