The Triangle
Description 7 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 5 7 3 8 8 1 0 2 7 4 4 4 5 2 6 5 Sample Output 30 Source |
DP:同poj3176
#include <iostream> #include <cstring> using namespace std; const int N=100; int map[N+1][N+1]; int dp[N+1][N+1]; int main() { int n; int rlt; while(cin>>n) { memset(dp,0,sizeof(dp)); for(int i=1; i<=n; i++) { for(int j=1; j<=i; j++) { cin>>map[i][j]; } } //DP for(int i=1; i<=n; i++) { for(int j=1; j<=i; j++) { if(dp[i-1][j]>dp[i-1][j-1]) { dp[i][j]=map[i][j]+dp[i-1][j]; } else { dp[i][j]=map[i][j]+dp[i-1][j-1]; } } } rlt=dp[n][1]; for(int i=2; i<=n; i++) { if(rlt<dp[n][i]) rlt=dp[n][i]; } cout<<rlt<<endl; } return 0; }