|
| 1 | +/** |
| 2 | + * [1998] GCD Sort of an Array |
| 3 | + * |
| 4 | + * You are given an integer array nums, and you can perform the following operation any number of times on nums: |
| 5 | + * |
| 6 | + * Swap the positions of two elements nums[i] and nums[j] if gcd(nums[i], nums[j]) > 1 where gcd(nums[i], nums[j]) is the greatest common divisor of nums[i] and nums[j]. |
| 7 | + * |
| 8 | + * Return true if it is possible to sort nums in non-decreasing order using the above swap method, or false otherwise. |
| 9 | + * |
| 10 | + * Example 1: |
| 11 | + * |
| 12 | + * Input: nums = [7,21,3] |
| 13 | + * Output: true |
| 14 | + * Explanation: We can sort [7,21,3] by performing the following operations: |
| 15 | + * - Swap 7 and 21 because gcd(7,21) = 7. nums = [<u>21</u>,<u>7</u>,3] |
| 16 | + * - Swap 21 and 3 because gcd(21,3) = 3. nums = [<u>3</u>,7,<u>21</u>] |
| 17 | + * |
| 18 | + * Example 2: |
| 19 | + * |
| 20 | + * Input: nums = [5,2,6,2] |
| 21 | + * Output: false |
| 22 | + * Explanation: It is impossible to sort the array because 5 cannot be swapped with any other element. |
| 23 | + * |
| 24 | + * Example 3: |
| 25 | + * |
| 26 | + * Input: nums = [10,5,9,3,15] |
| 27 | + * Output: true |
| 28 | + * We can sort [10,5,9,3,15] by performing the following operations: |
| 29 | + * - Swap 10 and 15 because gcd(10,15) = 5. nums = [<u>15</u>,5,9,3,<u>10</u>] |
| 30 | + * - Swap 15 and 3 because gcd(15,3) = 3. nums = [<u>3</u>,5,9,<u>15</u>,10] |
| 31 | + * - Swap 10 and 15 because gcd(10,15) = 5. nums = [3,5,9,<u>10</u>,<u>15</u>] |
| 32 | + * |
| 33 | + * |
| 34 | + * Constraints: |
| 35 | + * |
| 36 | + * 1 <= nums.length <= 3 * 10^4 |
| 37 | + * 2 <= nums[i] <= 10^5 |
| 38 | + * |
| 39 | + */ |
| 40 | +pub struct Solution {} |
| 41 | + |
| 42 | +// problem: https://leetcode.com/problems/gcd-sort-of-an-array/ |
| 43 | +// discuss: https://leetcode.com/problems/gcd-sort-of-an-array/discuss/?currentPage=1&orderBy=most_votes&query= |
| 44 | + |
| 45 | +// submission codes start here |
| 46 | + |
| 47 | +impl Solution { |
| 48 | + pub fn gcd_sort(nums: Vec<i32>) -> bool { |
| 49 | + false |
| 50 | + } |
| 51 | +} |
| 52 | + |
| 53 | +// submission codes end |
| 54 | + |
| 55 | +#[cfg(test)] |
| 56 | +mod tests { |
| 57 | + use super::*; |
| 58 | + |
| 59 | + #[test] |
| 60 | + #[ignore] |
| 61 | + fn test_1998_example_1() { |
| 62 | + let nums = vec![7, 21, 3]; |
| 63 | + |
| 64 | + let result = true; |
| 65 | + |
| 66 | + assert_eq!(Solution::gcd_sort(nums), result); |
| 67 | + } |
| 68 | + |
| 69 | + #[test] |
| 70 | + #[ignore] |
| 71 | + fn test_1998_example_2() { |
| 72 | + let nums = vec![5, 2, 6, 2]; |
| 73 | + |
| 74 | + let result = false; |
| 75 | + |
| 76 | + assert_eq!(Solution::gcd_sort(nums), result); |
| 77 | + } |
| 78 | + |
| 79 | + #[test] |
| 80 | + #[ignore] |
| 81 | + fn test_1998_example_3() { |
| 82 | + let nums = vec![10, 5, 9, 3, 15]; |
| 83 | + |
| 84 | + let result = true; |
| 85 | + |
| 86 | + assert_eq!(Solution::gcd_sort(nums), result); |
| 87 | + } |
| 88 | +} |
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