Question 63
For a five-digit number $n = abcde$, we define the twisted sum of $n$ as $bcdea + cdeab + deabc + eabcd$. For example, the twisted sum of $20253$ is $02532 + 25320 + 53202 + 32025 = 113079$.
Let $m$ and $n$ be two five-digit numbers with the same twisted sum. Prove that $m = n$.
Let $m$ and $n$ be two five-digit numbers with the same twisted sum. Prove that $m = n$.