PLEASE DON'T SKIP STEPS $($so I can understand$)$ Thanks!

Calculate ${1352178}^{57123}$ modulo $m=24519$ by the algorithm of squaring the base modulo $m$

as described in the Lecture $6$ Notes. That is$,$ convert the exponent $d=57123$ to list of binaries representing $d$ in base $2,$ and use it to find the factors modulo $m$ in the product.

Check at the end that your result is correct by calculating ${1352178}^{57123}$ modulo $m$ directly using Maple.

$($HINT: you can use looping operators "for $...$ do $..."$ to help your calculations$).$

Solution: