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Simplified Fractions

Given an integer n, return a list of all simplified fractions between 0 and 1 (exclusive) such that the denominator is less-than-or-equal-to n.

Given an integer n, return a list of all simplified fractions between 0 and 1 (exclusive) such that the denominator is less-than-or-equal-to n. You can return the answer in any order.

Example 1

Input: n = 2

Output: ["1/2"]

Explanation: "1/2" is the only unique fraction with a denominator less-than-or-equal-to 2.

Example 2

Input: n = 3

Output: ["1/2","1/3","2/3"]

Example 3

Input: n = 4

Output: ["1/2","1/3","1/4","2/3","3/4"]

Explanation: "2/4" is not a simplified fraction because it can be simplified to "1/2".

Constraints

  • 1 <= n <= 100

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