Number Triangle

Number Triangle
Time Limit:1s Memory limit:32M
Accepted Submit:1010 Total Submit:2725

Consider the number triangle shown below. Write a program that calculates the highest sum of numbers that can be 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.

        7

      3   8

    8   1   0

  2   7   4   4

4   5   2   6   5

In the sample above, the route from 7 to 3 to 8 to 7 to 5 produces the highest sum: 30.

Input

There are multiple test cases.The first line of each test case contains R (1 <= R <= 1000), the number of rows. Each subsequent line contains the integers for that particular row of the triangle. All the supplied integers are non-negative and no larger than 100.

Output

Print a single line containing the largest sum using the traversal specified for each test case.

Sample Input

5
7
3 8
8 1 0
2 7 4 4
4 5 2 6 5

Sample Output

30
http://acm.fzu.edu.cn/problem.php?pid=1004

用DP求解,从最后一行开始往上推,找出最大的,到最顶点是即为最大值

 

 

#include long int a[1000][1001]; void main() { int n; int i,j; while(scanf("%d",&n)!=EOF) { for(i=0;i=0;i--) for(j=0;j<=i;j++) a[i][j]+=a[i+1][j]>a[i+1][j+1]?a[i+1][j]:a[i+1][j+1]; printf("%d/n",a[0][0]); } }

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