On an infinite plane, a robot initially stands at
(0, 0)
and faces north. The robot can receive one of three instructions:"G"
: go straight 1 unit;"L"
: turn 90 degrees to the left;"R"
: turn 90 degress to the right.
The robot performs the
instructions
given in order, and repeats them forever.
Return
true
if and only if there exists a circle in the plane such that the robot never leaves the circle.
Example 1:
Input: "GGLLGG" Output: true Explanation: The robot moves from (0,0) to (0,2), turns 180 degrees, and then returns to (0,0). When repeating these instructions, the robot remains in the circle of radius 2 centered at the origin.
Example 2:
Input: "GG" Output: false Explanation: The robot moves north indefinitely.
Example 3:
Input: "GL" Output: true Explanation: The robot moves from (0, 0) -> (0, 1) -> (-1, 1) -> (-1, 0) -> (0, 0) -> ...
Note:
1 <= instructions.length <= 100
instructions[i]
is in{'G', 'L', 'R'}
class Solution { int[][] dirs = {{0, 1}, {1, 0}, {0, -1}, {-1, 0}}; int curX = 0; int curY = 0; int curDir = 0; public boolean isRobotBounded(String instructions) { if (instructions == null || instructions.length() == 0) { return true; } for (int count = 0; count < 4; count++) { for (int i = 0; i < instructions.length(); i++) { char c = instructions.charAt(i); if (c == 'G') { move(); } else { turn(c); } } } return curX == 0 && curY == 0; } private void move() { curX += dirs[curDir][0]; curY += dirs[curDir][1]; } private void turn(char dir) { int dirVal = (dir == 'L' ? -1 : 1); curDir = (curDir + 4 + dirVal) % 4; } }