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Consider
- Subbu. November 19, 2013Left Pivot Point : which satisfies the condition that all values to its left are less than it.
Right Pivot Point: which satisfies the condition that all values to its right are greater than it.
What we are looking for is a point which is both a left pivot and a right pivot.
Here is an O(N) time, O(N) space algorithm to determine for each point of the array, whether it is a left pivot.
Walk the array from left to right, maintaining the max seen so far.
If the current element you see is >= max, then it is a left pivot (and update a boolean array).
Update max, and continue.
Similary do for right pivot, and then find the common elements.