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Coderforces Rockethon 2014 Trial Contest: Testing Round #10 A2. Skis

2014-02-15 22:24 239 查看
A2. Skis

time limit per test
1 second

memory limit per test
256 megabytes

input
standard input

output
standard output

A warehouse of the oldest sports shop of Berland received n skis, the length of the i-th
ski equals ai centimeters.
Your task is to find out the largest number of ski packs to sell if a ski pack must contain two skis and the sum of their lengths must equal exactly q centimeters.
Note that the Berland skis aren't differentiated as left or right.

Input

The first line contains two positive integers n and q.
The second line contains n positive integers a1, a2,
..., an (1 ≤ ai ≤ q).

Limits n and q are distinct for distinct problems:

for subproblem A1: 1 ≤ n, q ≤ 100,

for subproblem A2: 1 ≤ n, q ≤ 106.

Output

Print the required maximum number of packs.

Sample test(s)

input
7 51 2 1 4 3 1 3


output
2


n个数,求和为q的对数

统计每个数xi出现的次数记为a[x],取min(a[x],a[q-x]),求和即可,注意当x+x=q时特判

#include<cstdio>
#include<iostream>
#include<cstdlib>
#include<algorithm>
#include<ctime>
#include<cctype>
#include<cmath>
#include<string>
#include<cstring>
#include<queue>
#include<vector>
#define sqr(x) (x)*(x)
#define INF 0x1f1f1f1f
#define PI 3.1415926535
#define mm 1000001

using namespace std;

int a[mm],n,q,x,cnt;

int main()
{
	scanf("%d%d",&n,&q);
	memset(a,0,sizeof(a));
	for (int i=0;i<n;i++)
	{
		scanf("%d",&x);
		a[x]++;
		
	}
	
	cnt=0;
	
	for (int i=0;i<q;i++)	//这里到q/2就可以了 
	{
		if (q%2==0 && i==q>>1)
		{
			cnt+=(a[i]>>1);
			a[i]=0;
			continue;
		}
		cnt+=min(a[i],a[q-i]);
		a[i]=a[q-i]=0;
	}
	
	printf("%d\n",cnt);
	
	return 0;
}
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