A14607 | Consecutive Sum Riddle
时间限制1s
内存限制256MB
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题目描述
Theofanis has a riddle for you and if you manage to solve it, he will give you a Cypriot snack halloumi for free (Cypriot cheese).
You are given an integer $n$ . You need to find two integers $l$ and $r$ such that $-10^{18} \le l < r \le 10^{18}$ and $l + (l + 1) + \ldots + (r - 1) + r = n$ .
You are given an integer $n$ . You need to find two integers $l$ and $r$ such that $-10^{18} \le l < r \le 10^{18}$ and $l + (l + 1) + \ldots + (r - 1) + r = n$ .
输入格式
The first line contains a single integer $t$ ( $1 \le t \le 10^4$ ) — the number of test cases.
The first and only line of each test case contains a single integer $n$ ( $1 \le n \le 10^{18}$ ).
The first and only line of each test case contains a single integer $n$ ( $1 \le n \le 10^{18}$ ).
输出格式
For each test case, print the two integers $l$ and $r$ such that $-10^{18} \le l < r \le 10^{18}$ and $l + (l + 1) + \ldots + (r - 1) + r = n$ .
It can be proven that an answer always exists. If there are multiple answers, print any.
It can be proven that an answer always exists. If there are multiple answers, print any.
输入输出样例
输入 #1
7 1 2 3 6 100 25 3000000000000
输出 #1
0 1 -1 2 1 2 1 3 18 22 -2 7 999999999999 1000000000001
In the first test case, $0 + 1 = 1$ .
In the second test case, $(-1) + 0 + 1 + 2 = 2$ .
In the fourth test case, $1 + 2 + 3 = 6$ .
In the fifth test case, $18 + 19 + 20 + 21 + 22 = 100$ .
In the sixth test case, $(-2) + (-1) + 0 + 1 + 2 + 3 + 4 + 5 + 6 + 7 = 25$ .
In the second test case, $(-1) + 0 + 1 + 2 = 2$ .
In the fourth test case, $1 + 2 + 3 = 6$ .
In the fifth test case, $18 + 19 + 20 + 21 + 22 = 100$ .
In the sixth test case, $(-2) + (-1) + 0 + 1 + 2 + 3 + 4 + 5 + 6 + 7 = 25$ .
C++ 编辑器
输入
输出
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评测结果:Accepted