数字三角形

一、思路

二、代码

1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
#include <bits/stdc++.h>
using namespace std;
const int N = 510, INF = 1e9;
int n;
int a[N][N], f[N][N];

int main() {
    cin >> n;
    for (int i = 1; i <= n; i++)
        for (int j = 1; j <= i; j++)
            cin >> a[i][j];

    for (int i = 0; i <= N; i++)
        for (int j = 0; j <= N; j++)
            f[i][j] = -INF;

    f[1][1] = a[1][1];
    for (int i = 2; i <= n; i++)
        for (int j = 1; j <= i; j++)
            f[i][j] = max(f[i - 1][j - 1] + a[i][j], f[i - 1][j] + a[i][j]);

    int res = -INF;
    for (int i = 1; i <= n; i++) res = max(res, f[n][i]);
    cout << res << endl;
    return 0;
}