A10501 | Pythagorean Triples
时间限制1s
内存限制256MB
通过 / 提交0/0
题目描述
Katya studies in a fifth grade. Recently her class studied right triangles and the Pythagorean theorem. It appeared, that there are triples of positive integers such that you can construct a right triangle with segments of lengths corresponding to triple. Such triples are called Pythagorean triples.
For example, triples $(3,4,5)$ , $(5,12,13)$ and $(6,8,10)$ are Pythagorean triples.
Here Katya wondered if she can specify the length of some side of right triangle and find any Pythagorean triple corresponding to such length? Note that the side which length is specified can be a cathetus as well as hypotenuse.
Katya had no problems with completing this task. Will you do the same?
For example, triples $(3,4,5)$ , $(5,12,13)$ and $(6,8,10)$ are Pythagorean triples.
Here Katya wondered if she can specify the length of some side of right triangle and find any Pythagorean triple corresponding to such length? Note that the side which length is specified can be a cathetus as well as hypotenuse.
Katya had no problems with completing this task. Will you do the same?
输入格式
The only line of the input contains single integer $n$ ( $1<=n<=10^{9}$ ) — the length of some side of a right triangle.
输出格式
Print two integers $m$ and $k$ ( $1<=m,k<=10^{18}$ ), such that $n$ , $m$ and $k$ form a Pythagorean triple, in the only line.
In case if there is no any Pythagorean triple containing integer $n$ , print $-1$ in the only line. If there are many answers, print any of them.
In case if there is no any Pythagorean triple containing integer $n$ , print $-1$ in the only line. If there are many answers, print any of them.
输入输出样例
输入 #1
3
输出 #1
4 5
输入 #2
6
输出 #2
8 10
输入 #3
1
输出 #3
-1
输入 #4
17
输出 #4
144 145
输入 #5
67
输出 #5
2244 2245
Illustration for the first sample.
C++ 编辑器
输入
输出
可保存默认模板;新题优先使用已保存模板。
当前快捷键仅展示,暂不支持修改。
- 撤销
Ctrl / ⌘ + Z - 重做
Ctrl / ⌘ + Y - 查找
Ctrl / ⌘ + F - 全选
Ctrl / ⌘ + A - 复制
Ctrl / ⌘ + C - 剪切
Ctrl / ⌘ + X - 粘贴
Ctrl / ⌘ + V - 自动排版
工具栏排版按钮 - 草稿保存
编辑时自动保存到本机
历史
提交记录
状态说明时间源码
AI
作答助手
你好,我是作答助手。可以问思路、复杂度、样例含义或代码报错原因;不会直接给出完整 AC 代码。
确定要清空代码吗?
提交通过
评测结果:Accepted