Problem Description

Professor Zhang has kinds of characters and the
quantity of the i-th character is ai . Professor Zhang wants to use all the characters build several palindromic
strings. He also wants to maximize the length of the shortest palindromic
string.

For example, there are 4 kinds of characters denoted as 'a', 'b',
'c', 'd' and the quantity of each character is {2,3,2,2} . Professor Zhang can build {"acdbbbdca"}, {"abbba", "cddc"}, {"aca", "bbb",
"dcd"}, or {"acdbdca", "bb"}. The first is the optimal solution where the length
of the shortest palindromic string is 9.

Note that a string is called
palindromic if it can be read the same way in either direction.

 

Input

There are multiple test cases. The first line of input
contains an integer T, indicating the number of test cases. For each test
case:

The first line contains an integer n (1≤n≤105) -- the number of kinds of characters. The second line contains n integers a1,a2,...,an (0≤ai≤104) .

 

Output

For each test case, output an integer denoting the
answer.

 

Sample Input

 

Sample Output

 

Author

zimpha

 

 #include <iostream>

 #include <cstdio>

 using namespace std;

 int main()

 {

     int T,i,j,n,m;

     scanf("%d",&T);

     while(T--)

     {

         int a=,b=,s=;

         scanf("%d",&n);

         for(i=;i<n;i++)

         {

             scanf("%d",&m);

             if(m%) a++;  ///记录奇数出现的个数

             s+=m;        ///字母的总个数

         }

         if(!a||a==)  ///如果只有一组奇数字母组或者没有奇数的字母组，则可以拼成一个回文串

         {

             printf("%d\n",s);

             continue;

         }

         b=(s-a)/a/*+; ///出现多组奇数字母组的情况

         printf("%d\n",b);

     }

     return ;

 }