MathDB
Serbia Junior Balkan TST 2015

Source:

May 25, 2015
number theory

Problem Statement

Two different 33 digit numbers are picked and then for every of them is calculated sum of all 55 numbers which are getting when digits of picked number change place (etc. if one of the number is 707707, the sum is 2401=770+77+77+770+7072401=770+77+77+770+707). Do the given results must be different?