feat: 添加P7074题解,实现动态规划解法

This commit is contained in:
Zengtudor 2025-09-13 20:15:30 +08:00
parent fb1f59a3f1
commit 0d64ce82d3

47
src/9/13/P7074.cpp Normal file
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#include <algorithm>
#include <iostream>
#include <vector>
using namespace std;
const long long INF = -1e18;
int main() {
ios_base::sync_with_stdio(false);
cin.tie(NULL);
int n, m;
cin >> n >> m;
vector<vector<int>> a(n + 1, vector<int>(m + 1));
for (int i = 1; i <= n; ++i) {
for (int j = 1; j <= m; ++j) {
cin >> a[i][j];
}
}
vector<vector<long long>> dp(n + 2, vector<long long>(m + 2, INF));
dp[1][0] = 0;
for (int j = 1; j <= m; ++j) {
for (int i = 1; i <= n; ++i) {
dp[i][j] = dp[i][j - 1] + a[i][j];
}
for (int i = 2; i <= n; ++i) {
dp[i][j] = max(dp[i][j], dp[i - 1][j] + a[i][j]);
}
for (int i = n - 1; i >= 1; --i) {
dp[i][j] = max(dp[i][j], dp[i + 1][j] + a[i][j]);
}
}
cout << dp[n][m] << endl;
return 0;
}