hdu 3496 Watch The Movie(二维费用背包)
二维费用背包问题
有两个限制条件:电影时长和看电影的部数。需要注意一下初始化dp[i][0] = 0,其余未知,因为看电影是一部一部来,所以当前dp值只能衔接前一部的dp值。
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1 /* 2 Author:Zhaofa Fang 3 Lang:C++ 4 */ 5 #include <cstdio> 6 #include <cstdlib> 7 #include <sstream> 8 #include <iostream> 9 #include <cmath> 10 #include <cstring> 11 #include <algorithm> 12 #include <string> 13 #include <utility> 14 #include <vector> 15 #include <queue> 16 #include <stack> 17 #include <map> 18 #include <set> 19 using namespace std; 20 21 typedef long long ll; 22 #define DEBUG(x) cout<< #x << ':' << x << endl 23 #define REP(i,n) for(int i=0;i < (n);i++) 24 #define FOR(i,s,t) for(int i = (s);i <= (t);i++) 25 #define FORD(i,s,t) for(int i = (s);i >= (t);i--) 26 #define PII pair<int,int> 27 #define PB push_back 28 #define MP make_pair 29 #define ft first 30 #define sd second 31 #define lowbit(x) (x&(-x)) 32 #define INF (1<<30) 33 34 int dp[1005][105],ti[105],v[105]; 35 int main() 36 { 37 //freopen("in","r",stdin); 38 //freopen("out","w",stdout); 39 int T; 40 scanf("%d",&T); 41 while(T--) 42 { 43 int n,m,L; 44 scanf("%d%d%d",&n,&m,&L); 45 REP(i,n)scanf("%d%d",&ti[i],&v[i]); 46 memset(dp,-1,sizeof(dp)); 47 REP(i,L+1)dp[i][0] = 0; 48 REP(i,n) 49 { 50 FORD(j,L,ti[i]) 51 { 52 FORD(k,m,1) 53 { 54 if(dp[j-ti[i]][k-1]!=-1)dp[j][k] = max(dp[j][k],dp[j-ti[i]][k-1]+v[i]); 55 } 56 } 57 } 58 if(dp[L][m]!=-1)printf("%d\n",dp[L][m]); 59 else puts("0"); 60 } 61 return 0; 62 }
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