#P7772. Minimum N Satisfying Ceiling Condition

    ID: 20958 Type: Default 1000ms 256MiB

Minimum N Satisfying Ceiling Condition

Minimum N Satisfying Ceiling Condition

Given two integers A and I, find the smallest integer N such that \(\lceil \frac{N}{A} \rceil \ge I\). The ceiling function \(\lceil x \rceil\) denotes the smallest integer greater than or equal to x.

Hint: You can derive the answer using the formula \(N = A \times (I - 1) + 1\).

inputFormat

The input consists of two space-separated integers A and I.

outputFormat

Output the minimum integer N that satisfies the condition \(\lceil \frac{N}{A} \rceil \ge I\).

sample

1 1
1