CF1316E-Team Building(dp+贪心)

题意:https://codeforces.com/contest/1316/problem/E?csrf_token=0963fae4dc3b2bb886fa535d67322918

思路:

首先,如果告诉你p+k==n是很好做的,简单dp

但是p+k可能<n,这就要删掉一些观众。v

解:dp【i】【mark】的mark就是二进制表示那几个位置已经有人上去比赛了,比如我现在这个人要站2号位,他会从000,001,100,101更新上来,更新为010,011,110,111。

就是先把观众排序,从大到小能当观众就去当观众,就是最优的(这个就是试着去更新dp最大值)见85~90行

  1 #define IOS ios_base::sync_with_stdio(0); cin.tie(0);
  2 #include <cstdio>//sprintf islower isupper
  3 #include <cstdlib>//malloc  exit strcat itoa system("cls")
  4 #include <iostream>//pair
  5 #include <fstream>//freopen("C:\Users\13606\Desktop\Input.txt","r",stdin);
  6 #include <bitset>
  7 //#include <map>
  8 //#include<unordered_map>
  9 #include <vector>
 10 #include <stack>
 11 #include <set>
 12 #include <string.h>//strstr substr strcat
 13 #include <string>
 14 #include <time.h>// srand(((unsigned)time(NULL))); Seed n=rand()%10 - 0~9;
 15 #include <cmath>
 16 #include <deque>
 17 #include <queue>//priority_queue<int, vector<int>, greater<int> > q;//less
 18 #include <vector>//emplace_back
 19 //#include <math.h>
 20 #include <cassert>
 21 #include <iomanip>
 22 //#include <windows.h>//reverse(a,a+len);// ~ ! ~ ! floor
 23 #include <algorithm>//sort + unique : sz=unique(b+1,b+n+1)-(b+1);+nth_element(first, nth, last, compare)
 24 using namespace std;//next_permutation(a+1,a+1+n);//prev_permutation
 25 //******************
 26 clock_t __START,__END;
 27 double __TOTALTIME;
 28 void _MS(){__START=clock();}
 29 void _ME(){__END=clock();__TOTALTIME=(double)(__END-__START)/CLOCKS_PER_SEC;cout<<"Time: "<<__TOTALTIME<<" s"<<endl;}
 30 //***********************
 31 #define rint register int
 32 #define fo(a,b,c) for(rint a=b;a<=c;++a)
 33 #define fr(a,b,c) for(rint a=b;a>=c;--a)
 34 #define mem(a,b) memset(a,b,sizeof(a))
 35 #define pr printf
 36 #define sc scanf
 37 #define ls rt<<1
 38 #define rs rt<<1|1
 39 typedef pair<int,int> PII;
 40 typedef vector<int> VI;
 41 typedef unsigned long long ull;
 42 typedef long long ll;
 43 typedef double db;
 44 const db E=2.718281828;
 45 const db PI=acos(-1.0);
 46 const ll INF=(1LL<<60);
 47 const int inf=(1<<30);
 48 const db ESP=1e-9;
 49 const int mod=(int)1e9+7;
 50 const int N=(int)1e5+10;
 51 
 52 struct node
 53 {
 54     int x;
 55     int v[10];
 56     friend bool operator<(node a,node b)
 57     {
 58         return a.x>b.x;
 59     }
 60 }a[N];
 61 ll dp[N][150];
 62 
 63 int clac(int x)
 64 {
 65     int cnt=0;
 66     while(x>0)
 67     {
 68         if(x&1)cnt++;x/=2;
 69     }
 70     return cnt;
 71 }
 72 
 73 int main()
 74 {
 75     int n,p,k;
 76     sc("%d%d%d",&n,&p,&k);
 77     for(int i=1;i<=n;++i)sc("%d",&a[i].x);
 78     for(int i=1;i<=n;++i)
 79         for(int j=1;j<=p;++j)
 80             sc("%d",&a[i].v[j]);
 81     sort(a+1,a+1+n);
 82     int top=(1<<p)-1;
 83     for(int i=1;i<=n;++i)
 84     {
 85         for(int j=0;j<=top;++j)//当观众 or 舍弃
 86         {
 87             dp[i][j]=dp[i-1][j];
 88             if(i-clac(j)<=k&&clac(j)<i)
 89                 dp[i][j]+=a[i].x;
 90         }
 91         for(int j=0;j<=top;++j)//当参赛者
 92         {
 93             if(clac(j)>=i)continue;
 94             for(int pos=1;pos<=p;++pos)
 95             {
 96                 if((j&(1<<(pos-1)))==0)
 97                 {
 98                     dp[i][j|(1<<(pos-1))]=max(dp[i][j|(1<<(pos-1))],dp[i-1][j]+a[i].v[pos]);
 99                 }
100             }
101         }
102     }
103 
104     pr("%lld
",dp[n][top]);
105     return 0;
106 }
107 
108 /**************************************************************************************/
原文地址:https://www.cnblogs.com/--HPY-7m/p/12494043.html