CF 1737D - Ela and the Wiring Wizard
The proposed solution does not provide any mathematical reasoning, derivation, or computation for the probability in question.
CF 1737D - Ela and the Wiring Wizard
Rating: 2200
Tags: brute force, dp, graphs, greedy, implementation, shortest paths
Solve time: 2m 25s
Verified: no
Solution
Correctness
The proposed solution does not provide any mathematical reasoning, derivation, or computation for the probability in question. It does not attempt to calculate the probability that $U_t$ is the last term of an upward run of length $h$ in the Fibonacci generator, nor does it compare it with the corresponding probability for a random sequence. There is no integration, measure-theoretic argument, or combinatorial analysis presented.
Gaps and Errors
- Critical error: The solution does not address the problem at all. There is no probability calculation, no consideration of the dependencies introduced by the Fibonacci generator, and no comparison with a random sequence.
- Justification gap: Every claim is missing, because no claims are made. There is no explanation of the conditions $U_0 > U_1 < \cdots < U_t > U_{t+1}$ or how to compute the associated probability.
Summary
The solution completely fails to engage with the problem. It neither constructs the correct formula nor provides reasoning to justify any answer.
VERDICT: FAIL - solution does not compute or justify the required probability.