{ "id": 2635, "name": "check_if_point_is_reachable", "difficulty": "Hard", "link": "https://leetcode.com/problems/check-if-point-is-reachable/", "date": "2023-01-07 00:00:00", "task_description": "There exists an infinitely large grid. You are currently at point `(1, 1)`, and you need to reach the point `(targetX, targetY)` using a finite number of steps. In one **step**, you can move from point `(x, y)` to any one of the following points: `(x, y - x)` `(x - y, y)` `(2 * x, y)` `(x, 2 * y)` Given two integers `targetX` and `targetY` representing the X-coordinate and Y-coordinate of your final position, return `true` _if you can reach the point from_ `(1, 1)` _using some number of steps, and _`false`_ otherwise_. **Example 1:** ``` **Input:** targetX = 6, targetY = 9 **Output:** false **Explanation:** It is impossible to reach (6,9) from (1,1) using any sequence of moves, so false is returned. ``` **Example 2:** ``` **Input:** targetX = 4, targetY = 7 **Output:** true **Explanation:** You can follow the path (1,1) -> (1,2) -> (1,4) -> (1,8) -> (1,7) -> (2,7) -> (4,7). ``` **Constraints:** `1 <= targetX, targetY <= 109`", "public_test_cases": [ { "label": "Example 1", "input": "targetX = 6, targetY = 9", "output": "false " }, { "label": "Example 2", "input": "targetX = 4, targetY = 7", "output": "true " } ], "private_test_cases": [ { "input": [ 303660259, 537982881 ], "output": true }, { "input": [ 382325806, 733120976 ], "output": true }, { "input": [ 210576177, 530284179 ], "output": false }, { "input": [ 577023801, 854345261 ], "output": true }, { "input": [ 793570509, 391886469 ], "output": false }, { "input": [ 336580977, 487441233 ], "output": false }, { "input": [ 697974041, 697734349 ], "output": true }, { "input": [ 596465905, 19353105 ], "output": false }, { "input": [ 391568324, 13283871 ], "output": true }, { "input": [ 102819043, 988910507 ], "output": true } ], "haskell_template": "isReachable :: Int -> Int -> Bool\nisReachable targetX targetY ", "ocaml_template": "let isReachable (targetX: int) (targetY: int) : bool = ", "scala_template": "def isReachable(targetX: Int,targetY: Int): Boolean = { \n \n}", "java_template": "class Solution {\n public boolean isReachable(int targetX, int targetY) {\n \n }\n}", "python_template": "class Solution(object):\n def isReachable(self, targetX, targetY):\n \"\"\"\n :type targetX: int\n :type targetY: int\n :rtype: bool\n \"\"\"\n " }