You are given \(2\) arrays \(A\) and \(B\), each of the size \(N\). Each element of these arrays is either a positive integer or \(-1\). The total number of \(-1's\) that can appear over these \(2\) arrays are \(\ge 1\) and \(\le 2\).

Now, you need to find the number of ways in which we can replace each \(-1\) with a non-negative integer, such that the sum of both of these arrays is equal.

Input format

First line: An integer \(N\)
Second line: \(N\) space-separated integers, where the of these denotes \(A[i]\)
Third line: \(N\) space-separated integers, where the \(i^{th}\) of these denotes \(B[i]\)

Output format

If there exists a finite number \(X\), then print it. If the answer is not a finite integer, then print 'Infinite'.

Constraints

\(1 \le N \le 10^5 \)

\(-1 \le A[i],B[i] \le 10^9\)

The \(-1's\) may spread out among both arrays, and their quantity is between \(1\) and \(2\) (both inclusive)

Sample Input 2

4
1 2 -1 4
3 3 -1 1

Sample Output 2

Infinite