题库练习 Phoenix and Balance
← 上一题 下一题 →

A13399 | Phoenix and Balance

时间限制1s
内存限制256MB
通过 / 提交0/0

题目描述

Phoenix has $n$ coins with weights $2^1, 2^2, \dots, 2^n$ . He knows that $n$ is even.

He wants to split the coins into two piles such that each pile has exactly $\frac{n}{2}$ coins and the difference of weights between the two piles is minimized. Formally, let $a$ denote the sum of weights in the first pile, and $b$ denote the sum of weights in the second pile. Help Phoenix minimize $|a-b|$ , the absolute value of $a-b$ .

输入格式

The input consists of multiple test cases. The first line contains an integer $t$ ( $1 \le t \le 100$ ) — the number of test cases.

The first line of each test case contains an integer $n$ ( $2 \le n \le 30$ ; $n$ is even) — the number of coins that Phoenix has.

输出格式

For each test case, output one integer — the minimum possible difference of weights between the two piles.

输入输出样例

输入 #1
2
2
4
输出 #1
2
6
C++ 编辑器
输入
输出