Problem A

Statement
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Description:
You are given two integers n and k. Find k-th smallest divisor of n, or report that it doesn't exist.

Divisor of n is any such natural number, that n can be divided by it without remainder.

Input Format:
The first line contains two integers n and k (1 ≤ n ≤ 1015, 1 ≤ k ≤ 109).

Output Format:
If n has less than k divisors, output -1.

Otherwise, output the k-th smallest divisor of n.

Note:
In the first example, number 4 has three divisors: 1, 2 and 4. The second one is 2.

In the second example, number 5 has only two divisors: 1 and 5. The third divisor doesn't exist, so the answer is -1.

Evaluations

Eval IDRun IDProviderModelLangSuccessTimestampPromptResponseStdoutStderrRetry
1563 20260305-112659 openrouter x-ai/grok-4 go true 2026-03-05T12:11:31.377282Z View View View View Retry