洛谷P2871-[USACO07DEC]Charm Bracelet S(01背包模板题)

简介: 洛谷P2871-[USACO07DEC]Charm Bracelet S(01背包模板题)

题目描述:


Bessie has gone to the mall's jewelry store and spies a charm bracelet. Of course, she'd like to fill it with the best charms possible from the N (1 ≤ N ≤ 3,402) available charms. Each charm i in the supplied list has a weight Wi (1 ≤ Wi ≤ 400), a 'desirability' factor Di (1 ≤ Di ≤ 100), and can be used at most once. Bessie can only support a charm bracelet whose weight is no more than M (1 ≤ M ≤ 12,880).


Given that weight limit as a constraint and a list of the charms with their weights and desirability rating, deduce the maximum possible sum of ratings.


有N件物品和一个容量为V的背包。第i件物品的重量是c[i],价值是w[i]。求解将哪些物品装入背包可使这些物品的重量总和不超过背包容量,且价值总和最大。


输入格式:


* Line 1: Two space-separated integers: N and M


* Lines 2..N+1: Line i+1 describes charm i with two space-separated integers: Wi and Di


第一行:物品个数N和背包大小M


第二行至第N+1行:第i个物品的重量C[i]和价值W[i]


输出格式:


* Line 1: A single integer that is the greatest sum of charm desirabilities that can be achieved given the weight constraints


输出一行最大价值。


输入输出样例:


输入 #1复制


4 6

1 4

2 6

3 12

2 7

输出 #1复制


23

AC Code:  


#include<bits/stdc++.h>
using namespace std;
#define N 15000
int m,n,dp[N],weight[N],value[N];
int main() {
  scanf("%d %d",&n,&m);
  for(int i=1;i<=n;i++) {
    scanf("%d %d",&weight[i],&value[i]);
  }
  for(int i=1;i<=n;i++) {
    for(int j=m;j>=weight[i];j--) {
      dp[j]=max(dp[j],dp[j-weight[i]]+value[i]);
    }
  }
  printf("%d\n",dp[m]);
  return 0;
}



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