7114번 - Numbers 다국어

During a lesson of algebra Liene has written the following table on the board:

Liene chose integer numbers a un b, 0<|a|<1000, 0<|b|<1000, a ≥ b, wrote these in the first and second column, then calculated the value ab², wrote it in the third column and, finally, calculated ab² and wrote it in the fourth column. You can assume that Liene did not make errors in her calculations.

Peter erased some of the numbers in the table and wrote 0 instead:

Your task is to write a program that from this type of a (Peter's modified) table finds and outputs the starting values of a, b, a²b un ab². If more than one answer is possible, output the one with the smallest value of the leftmost repairable number.