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二维费用背包的模板题

不难发现这个问题其实是一个物品同时有两种费用的问题

(1)耐久度(b_i) (2)杀掉的怪的只数1

同时它们都有一个最大费用(m)(s)

(dp_{i,j})为杀了(i)只怪,已经花费忍耐度为(j)所得到的最大经验值,按照完全背包转移即可

#include<iostream>
#include<string.h>
#include<string>
#include<stdio.h>
#include<algorithm>
#include<vector>
#include<math.h>
#include<queue>
#include<set>
#include<map>
using namespace std;
typedef long long ll;
typedef long double db;
const int N=10000;
const db pi=acos(-1.0);
#define lowbit(x) (x)&(-x)
#define sqr(x) (x)*(x)
#define rep(i,a,b) for (register int i=a;i<=b;i++)
#define per(i,a,b) for (register int i=a;i>=b;i--)
#define fir first
#define sec second
#define mp(a,b) make_pair(a,b)
#define pb(a) push_back(a)
#define maxd 998244353
#define eps 1e-8
int n,m,k,s,dp[110][2010],c[120],w[120];

int read()
{
    int x=0,f=1;char ch=getchar();
    while ((ch<'0') || (ch>'9')) {if (ch=='-') f=-1;ch=getchar();}
    while ((ch>='0') && (ch<='9')) {x=x*10+(ch-'0');ch=getchar();}
    return x*f;
}

int main()
{
	while (scanf("%d%d%d%d",&n,&m,&k,&s)==4)
	{
		rep(i,1,k) {c[i]=read();w[i]=read();}
		memset(dp,0,sizeof(dp));
		rep(i,1,k)
			rep(j,w[i],m)
				rep(p,1,s)
					dp[p][j]=max(dp[p][j],dp[p-1][j-w[i]]+c[i]);
		int ans=maxd;
		rep(i,1,m)
		{
			rep(j,1,s) 
				if (dp[j][i]>=n) {ans=i;break;}
			if (ans<=m) break;
		} 
		if (ans>m) puts("-1");
		else printf("%d
",m-ans);
	}
	return 0;
}

原文地址:https://www.cnblogs.com/encodetalker/p/11247738.html