Cow Bowling

Time Limit: 1000MS		Memory Limit: 65536K
Total Submissions: 14028		Accepted: 9302

The cows don't use actual bowling balls when they go bowling. They each take a number (in the range 0..99), though, and line up in a standard bowling-pin-like triangle like this:

          7

        3   8

      8   1   0

    2   7   4   4

  4   5   2   6   5

Then the other cows traverse the triangle starting from its tip and moving "down" to one of the two diagonally adjacent cows until the "bottom" row is reached. The cow's score is the sum of the numbers of the cows visited along the way. The cow with the highest
score wins that frame. 



Given a triangle with N (1 <= N <= 350) rows, determine the highest possible sum achievable.

Line 1: A single integer, N 



Lines 2..N+1: Line i+1 contains i space-separated integers that represent row i of the triangle.

Line 1: The largest sum achievable using the traversal rules

5

7

3 8

8 1 0

2 7 4 4

4 5 2 6 5

30

Explanation of the sample:

          7

         *

        3   8

       *

      8   1   0

       *

    2   7   4   4

       *

  4   5   2   6   5

 

 

#include <cstdio>

#include <cstring>

#include <algorithm>

using namespace std;

int dp[400][400] ;

int main()

{

    int n , i , j , max1 ;

    while(scanf("%d", &n) !=EOF)

    {

        max1 = 0 ;

        memset(dp,0,sizeof(dp));

        for(i = 1 ; i <= n ; i++)

            for(j = 1 ; j <= i ; j++)

                scanf("%d", &dp[i][j]);

        for(i = 1 ; i <= n ; i++)

            for(j = 1 ; j <= i ; j++)

                dp[i][j] = max( dp[i-1][j-1],dp[i-1][j] ) + dp[i][j] ;

        for(i = 1 ; i <= n ; i++)

            max1 = max(max1,dp[n][i]);

        printf("%d\n", max1);

    }

    return 0;

}