NMO (Nepal) Problem 1
Source:
March 17, 2024
combinatoricsnumber theory
Problem Statement
Nirajan is trapped in a magical dungeon. He has infinitely many magical cards with arbitrary MPs(Mana Points) which is always an integer . To escape, he must give the dungeon keeper some magical cards whose MPs add up to an integer with at least divisors. Can Nirajan always escape?( Proposed by Vlad Spǎtaru, Romania)