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。
输入输出格式
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
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
输入输出样例
4 61 42 63 122 7
23 思路: 裸01背包; 来,上代码:
#include#include #include using namespace std;int if_z,dp[15005],n,m,vi,ci;char Cget;inline void in(int &now){ now=0,if_z=1,Cget=getchar(); while(Cget>'9'||Cget<'0') { if(Cget=='-') if_z=-1; Cget=getchar(); } while(Cget>='0'&&Cget<='9') { now=now*10+Cget-'0'; Cget=getchar(); } now*=if_z;}int main(){ in(n),in(m); while(n--) { in(vi),in(ci); for(int i=m;i>=vi;i--) dp[i]=max(dp[i],dp[i-vi]+ci); } cout<