Given an array of size n and a range [a, b]. The task is to partition the array around the range such that array is divided into three parts.
1) All elements smaller than a come first.
2) All elements in range a to b come next.
3) All elements greater than b appear in the end.
The individual elements of three sets can appear in any order. You are required to return the modified array.
Note: The generated output is 1 if you modify the given array successfully.
Example 1:
Input:
n = 5
A[] = {1, 2, 3, 3, 4}
[a, b] = [1, 2]
Output: 1
Explanation: One possible arrangement is:
{1, 2, 3, 3, 4}. If you return a valid
arrangement, output will be 1.
Example 2:
Input:
n = 3
A[] = {1, 2, 3}
[a, b] = [1, 3]
Output: 1
Explanation: One possible arrangement
is: {1, 2, 3}. If you return a valid
arrangement, output will be 1.
Your Task:
You don't need to read input or print anything. The task is to complete the function threeWayPartition() which takes the array[], a, and b as input parameters and modifies the array in-place according to the given conditions.
Expected Time Complexity: O(n)
Expected Auxiliary Space: O(1)
Constraints:
1 <= n <= 10^{6}
1 <= A[i] <= 10^{6}

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