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. 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
其實就是數塔。
#include<cstdio>
#include<cstring>
#include<algorithm>
#include<iostream>
using namespace std;
const int MAXN=102;
int a[MAXN][MAXN];
int dp[MAXN][MAXN];
int main()
{
int n;
while(~scanf("%d",&n))
{
memset(a,0,sizeof(a));
memset(dp,0,sizeof(dp));
for(int i=1;i<=n;i++)
{
for(int j=1;j<=i;j++)
{
cin>>a[i][j];
}
}
for(int i=1;i<=n;i++)
{
dp[n][i]=a[n][i];
}
for(int i=n-1;i>=1;i--)
{
for(int j=1;j<=i;j++)
{
dp[i][j]=max(dp[i+1][j],dp[i+1][j+1]);
dp[i][j]+=a[i][j];
}
}
printf("%d\n",dp[1][1]);
}
return 0;
}