CF 1742D - Coprime

The proposed solution does not contain any mathematical argument, derivation, or proof. It fails to address either part (a) or part (b) of the exercise.

CF 1742D - Coprime

Rating: 1100
Tags: brute force, greedy, number theory
Solve time: 2m 36s
Verified: no

Solution

Correctness

The proposed solution does not contain any mathematical argument, derivation, or proof. It fails to address either part (a) or part (b) of the exercise. There is no explanation of how $\sigma(dh, dk, dc)$ reduces to $\sigma(h, k, c)$ for integer $d > 0$, nor any treatment of the increment by a fractional part in $\sigma(h, k, c + \theta)$. Consequently, it does not answer the question at all.

Gaps and Errors

  1. Critical error - missing content: There is no actual solution presented. The exercise requires proving two specific identities for the generalized sawtooth sum $\sigma$, and no steps, lemmas, or reasoning are given.
  2. Justification gap: Not applicable because no claims are made to justify.

Summary

The submission contains no mathematical reasoning or proof. It does not attempt to solve the exercise, leaving both requested identities completely unaddressed.

VERDICT: FAIL - the solution contains no proof or reasoning and does not attempt the exercise.