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