year monster wakes up - 2017 Ecuador Juniors (OMEC) L2 p1
Source:
October 25, 2022
number theoryDigits
Problem Statement
An ancient Inca legend tells that a monster lives among the mountains that when wakes up, eats everyone who read this issue. After such a task, the monster returns to the mountains and sleeps for a number of years equal to the sum of its digits of the year in which you last woke up. The monster woke up for the first time in the year .
a) Would the monster have woken up between the years and ?
b) Will we be safe in the next years?