public class FindMinKth {

    public static int minKth2(int[] array, int k){
        int[] arr = copyArray(array);
        return process2(arr,0,arr.length - 1, k-1);
    }

    public static int process2(int[] arr, int L, int R, int index){
        if (L == R){
            return arr[L];
        }

        int pivot = arr[L + (int)(Math.random() * (R - L + 1))];
        int[] range = partition(arr, L, R, pivot);
        if(range[0] <= index && index <= range[1]){
            return arr[index];
        }else if(index < range[0]){
            return process2(arr, L, range[0]-1, index);
        }else{
            return process2(arr,range[1]+1, R, index);
        }
    }

    public static int[] partition(int[] arr, int L, int R, int pivot){
        int less = L - 1;
        int cur = L;
        int more = R + 1;
        while(cur < more){
            if(arr[cur] < pivot){
                swap(arr, ++less, cur++);
            }else if(arr[cur] > pivot){
                swap(arr,cur, --more);
            }else{
                cur++;
            }
        }

        return new int[]{less+1, more-1};
    }

    public static void swap(int[] arr, int i1, int i2){
         int temp = arr[i2];
         arr[i2] = arr[i1];
         arr[i1] = temp;
    }

    public static int[] copyArray(int[] arr){
        int[] ans = new int[arr.length];
        for (int i = 0; i < ans.length; i++) {
            ans[i] = arr[i];
        }
        return ans;
    }

    public static int[] generateRandomArray(int maxSize, int maxValue){
        int[] arr = new int[(int)(Math.random()*maxSize) + 1];
        for (int i = 0; i < arr.length; i++) {
            arr[i] = (int)(Math.random() * (maxValue + 1));
        }
        return arr;
    }

    public static void main(String[] args) {
        int testTime = 50;
        int maxSize = 20;
        int maxValue = 100;
        for (int i = 0; i < testTime; i++) {
            int[] arr = generateRandomArray(maxSize,maxValue);
            for (int j = 0; j < arr.length; j++) {
                System.out.print(arr[j]+" ");
            }
            System.out.println();
            int k = (int)(Math.random() * arr.length)+1;
            System.out.println(minKth2(arr,k));
            System.out.println("====================="+k);
        }
    }
}