nyoj-18--The Triangle(dp 워터프루프)

1403 단어

The Triangle


시간 제한:
1000ms | 메모리 제한:
65535 KB
난이도:
4
묘사
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.
입력
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.
출력
Your program is to write to standard output. The highest sum is written as an integer.
샘플 입력
5
7
3 8
8 1 0 
2 7 4 4
4 5 2 6 5

샘플 출력
30
#include<stdio.h>
#include<string.h>
#include<algorithm>
using namespace std;
#define MAX 210
int dp[MAX][MAX];
int main()
{
	int n;
	while(scanf("%d",&n)!=EOF)
	{
		for(int i=1;i<=n;i++)
		{
			for(int j=1;j<=i;j++)
			scanf("%d",&dp[i][j]);
		}
		for(int i=n-1;i>=1;i--)
		{
			for(int j=1;j<=n;j++)
			dp[i][j]+=max(dp[i+1][j],dp[i+1][j+1]);
		}
		printf("%d
",dp[1][1]); } return 0; }

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