912. Sort an Array

Given an array of integers nums, sort the array in ascending order and return it.
You must solve the problem without using any built-in functions in O(nlog(n)) time complexity and with the smallest space complexity possible.

Example 1:

Input: nums = [5,2,3,1]
Output: [1,2,3,5]
Explanation: After sorting the array, the positions of some numbers are not changed (for example, 2 and 3), while the positions of other numbers are changed (for example, 1 and 5).

Example 2:

Input: nums = [5,1,1,2,0,0]
Output: [0,0,1,1,2,5]
Explanation: Note that the values of nums are not necessairly unique.

Constraints:

1 <= nums.length <= 5 x 10^4
-5 x 10^4 <= nums[i] <= 5 x 10^4

Solution

• Bubble Sort : TLE
• Selection Sort : TLE
• Quick Sort : TLE
• Merge Sort : Passed
• Heap Sort : Passed

Code

C++

class Solution {
public:
    void heapify(vector<int> &arr, int n, int i)
    {
        int largest = i;
        int left = 2 * i + 1;
        int right = 2 * i + 2;
        if (left < n && arr[left] > arr[largest])
            largest = left;
        if (right < n && arr[right] > arr[largest])
            largest = right;
        if (largest != i)
        {
            swap(arr[i], arr[largest]);
            heapify(arr, n, largest);
        }
    }
    vector<int> heapSort(vector<int> &arr)
    {
        int n = arr.size();
        for (int i = n / 2 - 1; i >= 0; --i)
            heapify(arr, n, i);
        for (int i = n - 1; i > 0; --i)
        {
            swap(arr[0], arr[i]);
            heapify(arr, i, 0);
        }
        return arr;
    }
    vector<int> sortArray(vector<int>& nums) {
        heapSort(nums);
        return nums;
    }
};

Usecase

테스트 케이스..

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