Given two points i.e. (a, 0) to (b, 0). The task is to check whether it is possible to move from (a,0) to (b,0) or not. One can move as (a, 0), (a+x, 0), (a+x+1, 0), (a, 2*x, 0), (a, 2*x+1, 0)……
Input: a = 3, x = 10, b = 4 Output: No Input: a = 3, x = 2, b = 5 Output: Yes
Approach: An answer will be possible if
- a + n*x = b where n is a non-negative integer.
- a + n*x + 1 = b where n is a positive integer.
(b – a) / x is an integer or (b – a – 1) / x is an integer
(b – a) % x = 0 or (b – a – 1) % x = 0
Below is the implementation of 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 reach a number by making jumps of two given length
- Check if it is possible to move from (0, 0) to (X, Y) in exactly K steps
- Check if it is possible to move from (0, 0) to (x, y) in N steps
- Check if possible to move from given coordinate to desired coordinate
- Minimum number of jumps to reach end
- Climb n-th stair with all jumps from 1 to n allowed (Three Different Approaches)
- Find if two people ever meet after same number of jumps
- Reach the numbers by making jumps of two given lengths
- Minimum block jumps to reach destination
- Number of jumps for a thief to cross walls
- Traversal of tree with k jumps allowed between nodes of same height
- Source to destination in 2-D path with fixed sized jumps
- 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
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