Robot Bounded In Circle
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 {
public boolean isRobotBounded(String instructions) {
int xCurr = 0, yCurr = 0, xDir = 0, yDir = 1;
while (true) {
for (char c : instructions.toCharArray()) {
if (c == 'G') {
xCurr += xDir;
yCurr += yDir;
} else if (c == 'L') {
if (xDir == 0 && yDir == 1) {
xDir = -1;
yDir = 0;
} else if (xDir == -1 && yDir == 0) {
xDir = 0;
yDir = -1;
} else if (xDir == 0 && yDir == -1) {
xDir = 1;
yDir = 0;
} else {
xDir = 0;
yDir = 1;
}
} else {
if (xDir == 0 && yDir == 1) {
xDir = 1;
yDir = 0;
} else if (xDir == -1 && yDir == 0) {
xDir = 0;
yDir = 1;
} else if (xDir == 0 && yDir == -1) {
xDir = -1;
yDir = 0;
} else {
xDir = 0;
yDir = -1;
}
}
}
if (xDir == 0 && yDir == 1) {
if (xCurr == 0 && yCurr == 0)
return true;
break;
}
}
return false;
}
}
Last updated