Given a point (x, y). Find whether it is possible or not to move from (0, 0) to (x, y) in exactly n steps. 4 types of steps are valid, you can move from a point (a, b) to either of (a, b+1), (a, b-1), (a-1, b), (a+1, b)
Input: x = 0, y = 0, n = 2 Output: POSSIBLE Input: x = 1, y = 1, n = 3 Output: IMPOSSIBLE
In the shortest path, one can move from (0, 0) to (x, y) in |x| + |y|. So, it is not possible to move from (0, 0) to (x, y) in less than |x| + |y| steps. After reaching one can take two more steps as (x, y) -> (x, y+1) -> (x, y).
So, it is possible if
n >= |x| + |y| and ( n-( |x| + |y| ) ) % 2 = 0.
Below is the implementation of the above approach:
- Check if a king can move a valid move or not when N nights are there in a modified chessboard
- Check if it is possible to move from (a, 0) to (b, 0) with given jumps
- Check if possible to move from given coordinate to desired coordinate
- Number of blocks in a chessboard a knight can move to in exactly k moves
- Minimum revolutions to move center of a circle to a target
- Find the number of stair steps
- Count the total number of squares that can be visited by Bishop in one move
- Number of odd and even results for every value of x in range [min, max] after performing N steps
- Count minimum steps to get the given desired array
- Number of steps to convert to prime factors
- Probability of reaching a point with 2 or 3 steps at a time
- Position after taking N steps to the right and left in an alternate manner
- Steps to reduce N to zero by subtracting its most significant digit at every step
- Minimum steps to come back to starting point in a circular tour
- Minimum steps needed to cover a sequence of points on an infinite grid
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