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Java-based LeetCode algorithm problem solutions, regularly updated
package g1401_1500.s1447_simplified_fractions;
// #Medium #String #Math #Number_Theory #2022_03_28_Time_33_ms_(69.60%)_Space_67.7_MB_(81.94%)
import java.util.ArrayList;
import java.util.List;
/**
* 1447 - Simplified Fractions\.
*
* Medium
*
* 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`
**/
@SuppressWarnings("java:S2234")
public class Solution {
public List simplifiedFractions(int n) {
List result = new ArrayList<>();
if (n == 1) {
return result;
}
StringBuilder str = new StringBuilder();
for (int denom = 2; denom <= n; denom++) {
for (int num = 1; num < denom; num++) {
if (checkGCD(num, denom) == 1) {
result.add(str.append(num).append("/").append(denom).toString());
}
str.setLength(0);
}
}
return result;
}
private int checkGCD(int a, int b) {
if (a < b) {
return checkGCD(b, a);
}
if (a == b || a % b == 0 || b == 1) {
return b;
}
return checkGCD(a % b, b);
}
}
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