Inequality ax ≤ b

For given two integers a and b find the smallest and biggest integer solution of inequality ax ≤ b.

Input

Two integers a and b, no more than 1000 by absolute value.

Output

If the inequality ax ≤ b has no solutions, print no solution.

IF any real value is a solution to inequality ax ≤ b, print all.

Otherwise print in one line the smallest and the biggest integer solution of inequality ax ≤ b. If the minimum integer solution does not exist, print -INF. If the maximum integer solution does not exist, print INF.

Examples