HRBUST 1004 The Triangle

The Triangle

Time Limit: 1000 MS Memory Limit: 65536 K Total Submit: 1944(903 users) Total Accepted: 1077(834 users) No

Description

7 3 8 8 1 0 2 7 4 4 4 5 2 6 5 (Figure 1)

Input

Your program is to read from standard input. For each test case, 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. Process to the end of file.

Output

For each test case, your program is to write to standard output. The highest sum is written as an integer.

Sample Input

5 7 3 8 2 7 4 4 4 5 2 6 5

Sample Output

30

这个题目是动态规划里面最简单的一类题目了，就是一个很典型数塔问题，我们从数塔的最下方向上方不断进行加法运算就好了，状态转移方程是dp[i-1][j]+=max(dp[i][j],dp[i][j+1]);好了，以下贴上代码：

#include<iostream> #include<cstdio> using namespace std;  const int MAXN=1005; int dp[MAXN][MAXN];  int main(){     int n;     while(cin>>n){         int i,j;         for(int i=0;i<n;i++){             for(int j=0;j<=i;j++){                 cin>>dp[i][j];             }         }         for(int i=n-1;i>=1;i--){             for(int j=0;j<i;j++){                 dp[i-1][j]+=max(dp[i][j],dp[i][j+1]);             }         }         cout<<dp[0][0]<<endl;     }     return 0; } 

文章来源: HRBUST 1004 The Triangle