[CERC2014] Sums
题意翻译
## 题目大意
一共有 $T$ 组数据,每组数据给定一个数 $N$,请将 $N$ 分解为几个连续正整数的和,如果有多种情况,请输出最小数最大的情况。
## 输入格式:
第一行,一个整数 $T$,表示数据组数。
第 $2$ 行至第 $T+1$ 行,每行一个整数 $N$,表示要拆分的数字。
## 输出格式
$T$ 行,每行一个式子,表示拆分结果。
如果无解,请输出 `IMPOSSIBLE`。
题目描述
Given an integer $N$, express it as the sum of at least two consecutive positive integers. For example:
- $10 = 1 + 2 + 3 + 4$
- $24 = 7 + 8 + 9$
If there are multiple solutions, output the one with the smallest possible number of summands.
输入输出格式
输入格式
The first line of input contains the number of test cases $T$. The descriptions of the test cases follow:
Each test case consists of one line containing an integer $N(1 \le N \le 10^9)$.
输出格式
For each test case, output a single line containing the equation in the format:
``N = a + (a+1) + ... + b`` as in the example. If there is no solution, output a single word ``IMPOSSIBLE`` instead.
输入输出样例
输入样例 #1
3
8
10
24
输出样例 #1
IMPOSSIBLE
10 = 1 + 2 + 3 + 4
24 = 7 + 8 + 9