# NYOJ 18 The Triangle 填表法，普通dp

http://acm.nyist.edu.cn/JudgeOnline/problem.php?pid=18

## The Triangle

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.

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.

Your program is to write to standard output. The highest sum is written as an integer.

5
7
3 8
8 1 0
2 7 4 4
4 5 2 6 5


30分析：dp[i][j]=f_max(dp[i+1][j],dp[i+1][j+1])+a[i][j];代码如下：

#include<bits/stdc++.h>
#define pai 3.1415926535898
using namespace std;
int f_max(int a,int b)
{
if(a>b)
{
return a;
}else
{
return b;
}
}
int main()
{
int n;
scanf("%d",&n);
int a[n][n];
memset(a,0,sizeof(a));
for(int i=0;i<n;i++)
{
for(int j=0;j<=i;j++)
{
scanf("%d",&a[i][j]);
}
}
int dp[n][n];
memset(dp,0,sizeof(dp));
for(int j=0;j<n;j++)
{
dp[n-1][j]=a[n-1][j];
}
for(int i=n-2;i>=0;i--)
{
for(int j=0;j<=i;j++)
{
dp[i][j]=f_max(dp[i+1][j],dp[i+1][j+1])+a[i][j];
}
}
printf("%d\n",dp);
return 0;
}


posted @ 2018-05-05 17:11  Y先森0.0  阅读(1101)  评论(0编辑  收藏
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