NYoj18 The Triangle

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

573 88 1 0 2 7 4 44 5 2 6 5

样例输出

30

解题思路：从倒数第二层开始，逐个累加它对应的下一层的元素和相邻的元素比较大的那个，循环直到第一层第一个元素即为最大

                  a[i][j] += (a[i+1][j] > a[i+1][j+1])? a[i+1][j] : a[i+1][j+1];

#include <stdio.h>int main(){    int i,j,n,a[101][101];    scanf("%d",&n);    for(i=0;i<n;i++)        for(j=0;j<=i;j++)          scanf("%d",&a[i][j]);    for(i=n-2;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]);    return 0;}