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'}
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 | 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 ; } } |