MathDB
900 Numbers

Source: 1993 National High School Mathematics League, Exam One, Problem 12

February 28, 2020

Problem Statement

There are 900 3-digit-numbers 100,101,,999100,101,\cdots,999. Print them on 900 cards. Some numbers are still numbers when we turn upside down, for example 198198 is 861861 when we turn upside down. However, some numbers are not, for example 531531. So, some numbers cam be used twice. If we want to express all 3-digit-numbers, we can print________cards fewer.