bzoj4800 [Ceoi2015]Ice Hockey World Championship

Description

有n个物品,m块钱,给定每个物品的价格,求买物品的方案数。

Input

第一行两个数n,m代表物品数量及钱数
第二行n个数,代表每个物品的价格
n<=40,m<=10^18

Output

一行一个数表示购买的方案数
(想怎么买就怎么买,当然不买也算一种)

Sample Input

5 1000
100 1500 500 500 1000

Sample Output

8

 

正解:$meet \ in  \ the \ middle$。

比较裸的$meet \ in  \ the \ middle$,搜索完以后直接把两个栈按照价值排序,用单调指针扫一扫就行了。

 

 1 //It is made by wfj_2048~
 2 #include <algorithm>
 3 #include <iostream>
 4 #include <complex>
 5 #include <cstring>
 6 #include <cstdlib>
 7 #include <cstdio>
 8 #include <vector>
 9 #include <cmath>
10 #include <queue>
11 #include <stack>
12 #include <map>
13 #include <set>
14 #define inf (1<<30)
15 #define il inline
16 #define RG register
17 #define ll long long
18 #define File(s) freopen(s".in","r",stdin),freopen(s".out","w",stdout)
19 
20 using namespace std;
21 
22 ll st1[2000010],st2[2000010],a[50],n,m,ans,top1,top2;
23 
24 il ll gi(){
25     RG ll x=0,q=1; RG char ch=getchar();
26     while ((ch<'0' || ch>'9') && ch!='-') ch=getchar();
27     if (ch=='-') q=-1,ch=getchar();
28     while (ch>='0' && ch<='9') x=x*10+ch-48,ch=getchar();
29     return q*x;
30 }
31 
32 il void dfs1(RG ll x,RG ll cost){
33     if (x>n/2){ st1[++top1]=cost; return; }
34     dfs1(x+1,cost),dfs1(x+1,cost+a[x]); return;
35 }
36 
37 il void dfs2(RG ll x,RG ll cost){
38     if (x>n){ st2[++top2]=cost; return; }
39     dfs2(x+1,cost),dfs2(x+1,cost+a[x]); return;
40 }
41 
42 il void work(){
43     n=gi(),m=gi(); for (RG ll i=1;i<=n;++i) a[i]=gi();
44     dfs1(1,0),dfs2(n/2+1,0);
45     sort(st1+1,st1+top1+1),sort(st2+1,st2+top2+1);
46     for (RG ll i=1,j=top2;i<=top1;++i){
47     while (j && st1[i]+st2[j]>m) j--; ans+=j;
48     }
49     printf("%lld\n",ans); return;
50 }
51 
52 int main(){
53     File("championship");
54     work();
55     return 0;
56 }

 

posted @ 2017-03-31 10:27  wfj_2048  阅读(314)  评论(0编辑  收藏  举报