AcWing 2. 01背包问题(C++、Java)
原题链接
简单
作者:
完全多重共线性
,
2023-02-08 20:59:34
,
所有人可见
,
阅读 109
C++ 未优化版
#include <iostream>
#include <algorithm>
using namespace std;
const int N = 1010;
int n,m;
int v[N],w[N];
int f[N][N];
int main()
{
cin >> n >> m;
for(int i = 1;i <= n ;i ++) cin >> v[i] >> w[i];
for(int i = 1;i <= n;i ++)
for(int j = 0;j <= m;j ++)
{
if( j <v[i]) f[i][j] = f[i - 1][j];
else f[i][j] = max(f[i - 1][j],f[i - 1][j - v[i]] + w[i]);
}
cout << f[n][m] << endl;
return 0;
}
C++ 优化版
#include <iostream>
#include <algorithm>
using namespace std;
const int N = 1010;
int n,m;
int v[N],w[N];
int f[N];
int main()
{
cin >> n >> m;
for(int i = 1;i <= n;i ++) cin >> v[i] >> w[i];
for(int i = 1;i <= n ; i++)
for(int j = m;j >= v[i];j --)
f[j] = max(f[j],f[j - v[i]] + w[i]);
cout << f[m] << endl;
return 0;
}
Java优化版
import java.util.Scanner;
import static java.lang.Math.*;
public class Main{
static int N = 1010;
static int n,m;
static int[] v = new int[N];
static int[] w = new int[N];
static int[] f = new int[N];
public static void main(String[] args)
{
Scanner nana = new Scanner(System.in);
n = nana.nextInt();
m = nana.nextInt();
for(int i = 1;i <= n;i ++){
v[i] = nana.nextInt();
w[i] = nana.nextInt();
}
for(int i = 1;i <= n;i ++)
for(int j = m;j >= v[i];j --)
f[j] = max(f[j],f[j - v[i]] + w[i]);
System.out.println(f[m]);
}
}