transform 21062011 into 1012011 by 3 operations
Source: JBMO 2011 Shortlist C3
October 14, 2017
JBMOcombinatorics
Problem Statement
We can change a natural number in three ways:
a) If the number has at least two digits, we erase the last digit and we subtract that digit from the remaining number (for example, from we get );
b) If the last digit is different from , we can change the order of the digits in the opposite one (for example, from we get );
c) We can multiply the number by a number from the set .
Can we get the number from the number ?