Destroyer of the roads
Source: St Petersburg Olympiad 2018, Grade 10, P1
June 22, 2018
combinatoricsgraph theory
Problem Statement
Misha came to country with cities, and every cities are connected by the road. Misha want visit some cities, but he doesn`t visit one city two time. Every time, when Misha goes from city to city , president of country destroy roads from city (president can`t destroy road, where Misha goes). What maximal number of cities Misha can visit, no matter how president does?