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min nof of coins for 2017 pesos if banks gices only n^3 pesos

Source: Mathematics Regional Olympiad of Mexico West 2017 P1

September 8, 2022
number theory

Problem Statement

The Occidentalia bank issues coins with denominations of 11 peso, 88 pesos, 2727 pesos... and any amount that is a perfect cube (n3n^3) of pesos. Determine what is the least amount kk of coins needed to give 20172017 pesos. For that amount, find all the possible ways to give 20172017 pesos using exactly kk currency.