ProgramAlgTrain/20240919/CSP常考算法模板/背包问题_01.cpp
2024-09-19 11:11:59 +08:00

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#include <bits/stdc++.h>
using namespace std;
const int maxm = 201, maxn = 31;
int m, n;
int w[maxn], c[maxn];
int f[maxn][maxm];
/*
10 4
2 1
3 3
4 5
7 9
*/
int main(){
ios::sync_with_stdio(false);
cin.tie(0);
cin>>m>>n; //背包容量m和物品数量n
for (int i = 1; i <= n; i++) //在初始化循环变量部分,定义一个变量并初始化
cin>>w[i]>>c[i]; //每个物品的重量和价值
for (int i = 1; i <= n; i++) // f[i][v]表示前i件物品总重量不超过v的最优价值
for (int v = m; v > 0; v--)
if (w[i] <= v)
f[i][v] = max(f[i-1][v],f[i-1][v-w[i]]+c[i]);
else
f[i][v] = f[i-1][v];
cout<<f[n][m]<<endl; // f[n][m]为最优解
return 0;
}