连续取数字DP使值最大HDU2697

题意:

有n个数,每个数都有价钱,连续的取可以获得len*len的利益,使利益最大。

思路:

三维DP,1、2、3维分别是第i个,剩余多少钱,从后往前连续的有几个。

 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 __STRAT,__END;
27 double __TOTALTIME;
28 void _MS(){__STRAT=clock();}
29 void _ME(){__END=clock();__TOTALTIME=(double)(__END-__STRAT)/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 long long ll;
42 const double E=2.718281828;
43 const double PI=acos(-1.0);
44 const ll INF=(1LL<<60);
45 const int inf=(1<<30);
46 const double ESP=1e-9;
47 const int mod=(int)1e9+7;
48 const int N=(int)1e2+10;
49 
50 int a[N];
51 int dp[N][N][N];
52 
53 void solve()
54 {
55     int n,m;
56     sc("%d%d",&n,&m);
57     for(int i=1;i<=n;++i)
58         sc("%d",&a[i]);
59     for(int i=0;i<=n;++i)
60         for(int j=0;j<=m;++j)
61             for(int k=0;k<=n;++k)
62                 dp[i][j][k]=-inf;
63     dp[0][m][0]=0;
64     for(int i=1;i<=n;++i)
65     {
66         for(int j=0;j<=m;++j)
67         {
68             for(int k=0;k<=i;++k)
69                 dp[i][j][0]=max(dp[i][j][0],dp[i-1][j][k]);
70             if(j+a[i]<=m)
71             for(int k=1;k<=i;++k)
72             {
73             //    if(dp[i-1][j+a[i]][k-1]!=-inf)都可以or取max;
74                     dp[i][j][k]=max(dp[i][j][k],dp[i-1][j+a[i]][k-1]+2*k-1);
75             }
76         }
77     /*    for(int j=0;j<=m;++j)
78             for(int k=0;k<=n;++k)
79                 pr("%3d%c",dp[i][j][k]," 
"[k==n]);
80         pr("-------------------------------------------
");*/
81     }
82     int ans=0;
83     for(int j=0;j<=m;++j)
84         for(int k=0;k<=n;++k)
85             ans=max(ans,dp[n][j][k]);
86     pr("%d
",ans);
87 }
88 
89 int main()
90 {
91     int T;
92     sc("%d",&T);
93     while(T--)solve();
94     return 0;
95 }
96 
97 /**************************************************************************************/
原文地址:https://www.cnblogs.com/--HPY-7m/p/11822712.html