Generation

generate functionSat, 21 Jan 2023

# 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 = 10, targetY = 10 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

``````bool reachingPoints(int sx, int sy, int tx, int ty) {
while (tx >= sx && ty >= sy) {
if (tx == ty) break;
tx = tx > ty ? tx % ty : tx;
ty = ty > tx ? ty % tx : ty;
}
return sx == tx && sy <= ty && (ty - sy) % sx == 0 ||
sy == ty && sx <= tx && (tx - sx) % sy == 0;
}``````