hdu 6168 Numbers

zk has n numbers a1,a2,...,an. For each (i,j) satisfying 1≤i<j≤n, zk generates a new number (ai+aj). These new numbers could make up a new sequence b1，b2,...,bn(n?1)/2

.
LsF wants to make some trouble. While zk is sleeping, Lsf mixed up sequence a and b with random order so that zk can't figure out which numbers were in a or b. "I'm angry!", says zk.
Can you help zk find out which n numbers were originally in a?

InputMultiple test cases(not exceed 10).
For each test case:
?The first line is an integer m(0≤m≤125250), indicating the total length of a and b. It's guaranteed m can be formed as n(n+1)/2.
?The second line contains m numbers, indicating the mixed sequence of a and b.
Each ai is in [1,10^9]
OutputFor each test case, output two lines.
The first line is an integer n, indicating the length of sequence a;
The second line should contain n space-seprated integers a1,a2,...,an(a1≤a2≤...≤an). These are numbers in sequence a.
It's guaranteed that there is only one solution for each case.Sample Input

6
2 2 2 4 4 4
21
1 2 3 3 4 4 5 5 5 6 6 6 7 7 7 8 8 9 9 10 11

Sample Output

3
2 2 2
6
1 2 3 4 5 6

記錄每個數出現的次數，把所有數從小到大排序，前兩個數肯定是序列里的，因為是最小的，然后排著把已知序列里的值兩兩相加，如果 得到的值的次數不為0，就讓次數-1，排著把次數為1的數找出來就是答案。

代碼：

#include <iostream>
#include <cstdio>
#include <algorithm>
#include <cstring>
#include <map>
using namespace std;
int m,n,s[200000],ans[200000];///ans存要求的序列
int main()
{while(scanf("%d",&m) != EOF){map<int,int> q;n = 0;for(int i = 0;i < m;i ++){scanf("%d",&s[i]);q[s[i]] ++;}sort(s,s + m);for(int i = 0;i < m;i ++){if(!q[s[i]])continue;///次數為0，就略過for(int j = 0;j < n;j ++)///依次跟ans里的值相加來消除后邊的數
            {q[s[i] + ans[j]] --;}ans[n ++] = s[i];q[s[i]] --;//防止重復的數讀進去，需把次數-1
        }printf("%d\n",n);for(int i = 0;i < n;i ++){if(i)putchar(' ');printf("%d",ans[i]);}putchar('\n');}
}

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