Laboratory Experiment Allocation

You are given three integers n, m, and c, where n represents the number of experiments, m represents the number of laboratories, and c represents the maximum capacity of experiments that each laboratory can handle. Your task is to determine whether it is possible to allocate all n experiments among the m laboratories such that no laboratory handles more than c experiments.

The allocation is possible if and only if the following condition holds:

$$ n \le m \times c $$

If the condition is satisfied, output POSSIBLE; otherwise, output IMPOSSIBLE.

inputFormat

The input is given from stdin as a single line containing three space-separated integers:

• n: the total number of experiments.
• m: the number of laboratories.
• c: the maximum experiments one laboratory can handle.

outputFormat

Output a single line to stdout containing the string POSSIBLE if the experiments can be allocated without exceeding the laboratory capacities. Otherwise, output IMPOSSIBLE.

10 3 4

POSSIBLE