Given n integers in a maze indicating number of moves to be made from that position and a string which has “>” and “<" indicating which side to move. Starting position is first position. Print whether it stays inside the array or moves out of the array. Example:
Input : 3 2 1 1 > > < Output: It stays inside forever Explanation: It moves towards right by a position of 2, hence is at the last index, then it moves to the left by 1, and then it again moves to the right by 1. Hence it doesn't go out. Input: 2 1 2 > < Output: comes out Explanation: Starts at 0th index, moves right by 1 position, and then moves left by 2 to come out
Approach to the above problem is as follows:
We start from 0th index and move until we exceed n or decreased 0. If we reach at the same position twice then we are in an infinite loop and can never move out.
* use mark array to mark the visited positions
* start from 0th index and check the sign of move and move to that place marking that position as visited
* if visited we can never move out , hence break out
* check the reason of break from loop , and print the desired result.
// below is the python implementation of the above approach
Time complexity: O(n)
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