Merge sort | Iterative java program


class MergeSort {
    public static void sort(int[] array) {
        // auxilary array of size O(n) used by merge process
        int[] aux = new int[array.length];
        
        int N = array.length;
        
        for (int sz = 1; sz < N; sz = 2*sz) {
            for (int low = 0; low < N-sz; low = low + 2*sz) {
                int high = Math.min(low + 2*sz-1, N-1);
                int mid = low+sz-1;
                merge(array, aux, low, mid, high);
            }
        }
    }
    
    private static void merge(int[] array, int[] aux, int low, int mid, int high) {
        // copy from array to aux 
        int i = low;
        for(; i <= high; i++) {
            aux[i] = array[i];
        }
        
        // merge aux to array 
        i = low; // used for first sub array 
        int j = mid+1; // used for second sub array 
        int k = low; // used for merged array 
        while(k <= high) {
            if(i > mid) {
                array[k++] = aux[j++];
            } else if(j > high) {
                array[k++] = aux[i++];
            } else if(less(aux[i], aux[j])) {
                array[k++] = aux[i++];
            } else {
                array[k++] = aux[j++];
            }
        }
    }
    
    private static void swap(int[] array, int i, int j) {
        int temp = array[i];
        array[i] = array[j];
        array[j] = temp;
    }
    
    private static boolean less(int key1, int key2) {
        return key1 < key2;
    }
    
    private static void display(int[] array) {
        for(int key : array) {
            System.out.print(key + " ");
        }
    }
    
	public static void main (String[] args) {
		int[] array = new int[] {11,13,7,12,16,9,24,5,10,3};
		System.out.println("Unsorted array : ");
		display(array);
		
		sort(array);
		System.out.println("\nSorted array : ");
		display(array);
	}
}

Unsorted array : 
11 13 7 12 16 9 24 5 10 3 
Sorted array : 
3 5 7 9 10 11 12 13 16 24

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