Smallest Set :
Difficulty Level : Easy
Submissions : 146
Asked In :
Marks :10
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You are given $$$n$$$ intervals of the form $$$(l_i,r_i)$$$ which contains all integers from $$$l_i$$$ to $$$r_i$$$. You need to output the size of the smallest set having atleast $$$2$$$ integers. Output $$$-1$$$ if no such interval exists.
Input
The first line contains a single integer $$$n(1 \leq n \leq 10^5)$$$. The next line contains the $$$n$$$ integers $$$l_1,l_2,...,l_n$$$. The next line contains the $$$n$$$ integers $$$r_1,r_2,...,r_n(0 \leq l_i \leq r_i \leq 10^9)$$$.
Output
Output a single integer - the answer to the problem.
Example
Input
3 1 2 3 3 4 5
Output
3
