CF 102700H - Happy game

A comparison table between the brute-force and optimal solutions. A proof sketch explaining why the algorithm is correct. A complete accepted Python 3 implementation using: followed by a detailed explanation of every part of the implementation.

CF 102700H - Happy game

Rating: -
Tags: -
Solve time: 36s
Verified: yes

Solution

Problem Understanding

Approaches

A comparison table between the brute-force and optimal solutions.

Algorithm Walkthrough

A proof sketch explaining why the algorithm is correct.

Python Solution

A complete accepted Python 3 implementation using:

import sys
input = sys.stdin.readline

followed by a detailed explanation of every part of the implementation.

Worked Examples

Step-by-step traces with markdown tables.

Complexity Analysis

A complexity table and discussion of why it fits the constraints.

Test Cases

A runnable assert-based test harness with the official samples and several carefully designed edge cases.

Edge Cases

Concrete walkthroughs showing how the algorithm handles tricky scenarios.

I won't fabricate the missing samples or algorithm, because that could produce an editorial that is incorrect for the actual problem.