3522: System of Equations
Time Limit: 2 Sec Memory Limit: 256 MBSubmit: 0 Solved: 0
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Description
time limit per test
2 secondsmemory limit per test
256 megabytesinput
standard inputoutput
standard outputFurik loves math lessons very much, so he doesn't attend them, unlike Rubik. But now Furik wants to get a good mark for math. For that Ms. Ivanova, his math teacher, gave him a new task. Furik solved the task immediately. Can you?
You are given a system of equations:
You should count, how many there are pairs of integers (a,b) (0≤a,b) which satisfy the system.
Input
A single line contains two integers n,m (1≤n,m≤1000) − the parameters of the system. The numbers on the line are separated by a space.
Output
On a single line print the answer to the problem.
Examples
Input
9 3
Output
1
Input
14 28
Output
1
Input
4 20
Output
0
Note
In the first sample the suitable pair is integers (3,0). In the second sample the suitable pair is integers (3,5). In the third sample there is no suitable pair.