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
-
5 7 3 8 8 1 0 2 7 4 4 4 5 2 6 5
- 样例输出
-
30
#include <iostream> using namespace std; const int N = 105; int a[N][N]; int main(){ int i,j,n; cin>>n; for(i=0;i<n;i++){ for(j=0;j<=i;j++) cin>>a[i][j];} for(i=n-2;i>=0;i--){ for(j=0;j<=i;j++) a[i][j]+=max(a[i+1][j],a[i+1][j+1]); } cout<<a[0][0]<<endl; return 0; }