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python/TangDou/AcWing/BeiBao/3_0.cpp

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2025-08-30 18:35:01 +08:00
#include <bits/stdc++.h>
using namespace std;
//完全背包的原始未优化版本
const int N = 1010;
int f[N][N];
int v[N], w[N];
int main() {
int n, m;
scanf("%d %d", &n, &m);
for (int i = 1; i <= n; i++) scanf("%d %d", &v[i], &w[i]);
//多层循环,万恶之源
//优化的策略是想办法干掉最里层的循环,就是经典的类比法对比公式,
//f[i][j-v] 去类比,用一个式子代替掉一层循环,使得时间复杂度降低
for (int i = 1; i <= n; i++)
for (int j = 0; j <= m; j++)
for (int k = 0; k * v[i] <= j; k++)
f[i][j] = max(f[i][j], f[i - 1][j - k * v[i]] + k * w[i]);
printf("%d\n", f[n][m]);
return 0;
}