Power Board
Description
You have a rectangular board of size $n\times m$ ($n$ rows, $m$ columns). The $n$ rows are numbered from $1$ to $n$ from top to bottom, and the $m$ columns are numbered from $1$ to $m$ from left to right.
The cell at the intersection of row $i$ and column $j$ contains the number $i^j$ ($i$ raised to the power of $j$). For example, if $n=3$ and $m=3$ the board is as follows:
Find the number of distinct integers written on the board.
The only line contains two integers $n$ and $m$ ($1\le n,m\le 10^6$) — the number of rows and columns of the board.
Print one integer, the number of distinct integers on the board.
Input
The only line contains two integers $n$ and $m$ ($1\le n,m\le 10^6$) — the number of rows and columns of the board.
Output
Print one integer, the number of distinct integers on the board.
Samples
3 3
7
2 4
5
4 2
6
Note
The statement shows the board for the first test case. In this case there are $7$ distinct integers: $1$, $2$, $3$, $4$, $8$, $9$, and $27$.
In the second test case, the board is as follows:
There are $5$ distinct numbers: $1$, $2$, $4$, $8$ and $16$.
In the third test case, the board is as follows:
There are $6$ distinct numbers: $1$, $2$, $3$, $4$, $9$ and $16$.