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780. Reaching Points
Description
Given four integers sx, sy, tx, and ty, return true if it is possible to convert the point (sx, sy) to the point (tx, ty) through some operations, or false otherwise.
The allowed operation on some point (x, y) is to convert it to either (x, x + y) or (x + y, y).
Example 1:
Input: sx = 1, sy = 1, tx = 3, ty = 5 Output: true Explanation: One series of moves that transforms the starting point to the target is: (1, 1) -> (1, 2) (1, 2) -> (3, 2) (3, 2) -> (3, 5)
Example 2:
Input: sx = 1, sy = 1, tx = 2, ty = 2 Output: false
Example 3:
Input: sx = 1, sy = 1, tx = 1, ty = 1 Output: true
Constraints:
1 <= sx, sy, tx, ty <= 109
Solutions
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class Solution { public boolean reachingPoints(int sx, int sy, int tx, int ty) { while (tx > sx && ty > sy && tx != ty) { if (tx > ty) { tx %= ty; } else { ty %= tx; } } if (tx == sx && ty == sy) { return true; } if (tx == sx) { return ty > sy && (ty - sy) % tx == 0; } if (ty == sy) { return tx > sx && (tx - sx) % ty == 0; } return false; } } -
class Solution { public: bool reachingPoints(int sx, int sy, int tx, int ty) { while (tx > sx && ty > sy && tx != ty) { if (tx > ty) tx %= ty; else ty %= tx; } if (tx == sx && ty == sy) return true; if (tx == sx) return ty > sy && (ty - sy) % tx == 0; if (ty == sy) return tx > sx && (tx - sx) % ty == 0; return false; } }; -
class Solution: def reachingPoints(self, sx: int, sy: int, tx: int, ty: int) -> bool: while tx > sx and ty > sy and tx != ty: if tx > ty: tx %= ty else: ty %= tx if tx == sx and ty == sy: return True if tx == sx: return ty > sy and (ty - sy) % tx == 0 if ty == sy: return tx > sx and (tx - sx) % ty == 0 return False -
func reachingPoints(sx int, sy int, tx int, ty int) bool { for tx > sx && ty > sy && tx != ty { if tx > ty { tx %= ty } else { ty %= tx } } if tx == sx && ty == sy { return true } if tx == sx { return ty > sy && (ty-sy)%tx == 0 } if ty == sy { return tx > sx && (tx-sx)%ty == 0 } return false }