A15297. Garage
编程题
普及/提高-
知识点
题目描述
Pak Chanek plans to build a garage. He wants the garage to consist of a square and a right triangle that are arranged like the following illustration.
Define $a$ and $b$ as the lengths of two of the sides in the right triangle as shown in the illustration. An integer $x$ is suitable if and only if we can construct a garage with assigning positive integer values for the lengths $a$ and $b$ ( $a<b$ ) so that the area of the square at the bottom is exactly $x$ . As a good friend of Pak Chanek, you are asked to help him find the $N$ -th smallest suitable number.
Define $a$ and $b$ as the lengths of two of the sides in the right triangle as shown in the illustration. An integer $x$ is suitable if and only if we can construct a garage with assigning positive integer values for the lengths $a$ and $b$ ( $a<b$ ) so that the area of the square at the bottom is exactly $x$ . As a good friend of Pak Chanek, you are asked to help him find the $N$ -th smallest suitable number.
输入格式
The only line contains a single integer $N$ ( $1 \leq N \leq 10^9$ ).
输出格式
An integer that represents the $N$ -th smallest suitable number.
输入输出样例
输入 #1
3
输出 #1
7
说明/提示
The $3$ -rd smallest suitable number is $7$ . A square area of $7$ can be obtained by assigning $a=3$ and $b=4$ .