POJ 1163The Triangle

The Triangle

Time Limit: 1000MS Memory Limit: 10000KTotal Submissions: 45624 Accepted: 27615

Description

73   88   1   02   7   4   44   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. 

Input

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.

Output

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

Sample Input

573 88 1 0 2 7 4 44 5 2 6 5

Sample Output

30

题意：在给定的数字三角形中寻找一条从顶层到底层的路径，使此路径上的数字加和最大。

#include <iostream>#include <stdio.h>#include <string.h>using namespace std;int main(){int r[105][105];int n;while(cin>>n){for(int i=1;i<=n;i++)for(int j=0;j<i;j++)cin>>r[i][j];for(int i=n-1;i>=1;i--){for(int j=0;j<i;j++){r[i][j]+=max(r[i+1][j],r[i+1][j+1]);}}cout<<r[1][0]<<endl;}}