MathDB
2023 LMT Spring Accuracy Problem 9

Source:

September 29, 2023
algebra

Problem Statement

Evin’s calculator is broken and can only perform 33 operations: Operation 11: Given a number xx, output 2x2x. Operation 22: Given a number xx, output 4x+14x +1. Operation 33: Given a number xx, output 8x+38x +3. After initially given the number 00, how many numbers at most 128128 can he make?