A. Shizuku Hoshikawa and Farm Legs

Kaori wants to spend the day with Shizuku! However, the zoo is closed, so they are visiting Farmer John's farm instead.

At Farmer John's farm, Shizuku counts n legs. It is known that only chickens and cows live on the farm; a chicken has 2 legs, while a cow has 4.

Count how many different configurations of Farmer John's farm are possible. Two configurations are considered different if they contain either a different number of chickens, a different number of cows, or both.

Note that Farmer John's farm may contain zero chickens or zero cows.

Input

The first line contains a single integer t (1≤t≤100) --- the number of test cases.

The only line of each test case contains a single integer n (1≤n≤100).

Output

For each test case, output a single integer, the number of different configurations of Farmer John's farm that are possible.

Example

Input

Copy

复制代码

5

2

3

4

6

100

Output

Copy

复制代码

1

0

2

2

26

Note

For n=4, there are two possible configurations of Farmer John's farm:

  • he can have two chickens and zero cows, or
  • he can have zero chickens and one cow.

It can be shown that these are the only possible configurations of Farmer John's farm.

For n=3, it can be shown that there are no possible configurations of Farmer John's farm.

解题说明:此题找规律即可,首先n必须是偶数,在偶数的情况下最多可能次数为n/4+1,因为每次都是去掉一头年的情况。

cpp 复制代码
#include<stdio.h>
int main()
{
	int n, t;
	scanf("%d", &t);
	while (t--)
	{
		scanf("%d", &n);
		if (n % 2 == 0)
		{
			printf("%d\n", n / 4 + 1);
		}
		else
		{
			printf("%d\n", 0);
		}
	}
	return 0;
}
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