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A11419 | Pride

时间限制1s
内存限制256MB
通过 / 提交0/0

题目描述

You have an array $a$ with length $n$ , you can perform operations. Each operation is like this: choose two adjacent elements from $a$ , say $x$ and $y$ , and replace one of them with $gcd(x,y)$ , where $gcd$ denotes the [greatest common divisor](https://en.wikipedia.org/wiki/Greatest_common_divisor).

What is the minimum number of operations you need to make all of the elements equal to $1$ ?

输入格式

The first line of the input contains one integer $n$ ( $1<=n<=2000$ ) — the number of elements in the array.

The second line contains $n$ space separated integers $a_{1},a_{2},...,a_{n}$ ( $1<=a_{i}<=10^{9}$ ) — the elements of the array.

输出格式

Print -1, if it is impossible to turn all numbers to $1$ . Otherwise, print the minimum number of operations needed to make all numbers equal to $1$ .

输入输出样例

输入 #1
5
2 2 3 4 6
输出 #1
5
输入 #2
4
2 4 6 8
输出 #2
-1
输入 #3
3
2 6 9
输出 #3
4
C++ 编辑器
输入
输出