explanation.md

Spiral Matrix III - Step by Step Explanation

C++ Solution

1. Initialize Result Vector:

   • Create a result vector to store the coordinates of the matrix in spiral order.

2. Define Directions:

   • Define four possible movement directions: right, down, left, and up.

3. Initialize Steps and Direction:

   • Start with 1 step and initialize the direction index to 0 (right).

4. Set Starting Position:

   • Set the starting position to the given rStart and cStart.
   • Add the starting position to the result.

5. Loop Until All Cells Are Visited:

   • Continue the loop until the result contains all the coordinates of the matrix.
   • For each direction, move steps times and then change the direction.
   • If the new position is within the bounds of the matrix, add it to the result.

6. Increase Steps:

   • After moving in two directions, increase the number of steps.

7. Return Result:

   • Return the result containing the coordinates of the matrix in spiral order.

Java Solution

1. Initialize Result List:

   • Create a result list to store the coordinates of the matrix in spiral order.

2. Define Directions:

   • Define four possible movement directions: right, down, left, and up.

3. Initialize Steps and Direction:

   • Start with 1 step and initialize the direction index to 0 (right).

4. Set Starting Position:

   • Set the starting position to the given rStart and cStart.
   • Add the starting position to the result.

5. Loop Until All Cells Are Visited:

   • Continue the loop until the result contains all the coordinates of the matrix.
   • For each direction, move steps times and then change the direction.
   • If the new position is within the bounds of the matrix, add it to the result.

6. Increase Steps:

   • After moving in two directions, increase the number of steps.

7. Convert Result to Array:

   • Convert the result list to an array and return it.

JavaScript Solution

1. Initialize Result Array:

   • Create a result array to store the coordinates of the matrix in spiral order.

2. Define Directions:

   • Define four possible movement directions: right, down, left, and up.

3. Initialize Steps and Direction:

   • Start with 1 step and initialize the direction index to 0 (right).

4. Set Starting Position:

   • Set the starting position to the given rStart and cStart.
   • Add the starting position to the result.

5. Loop Until All Cells Are Visited:

   • Continue the loop until the result contains all the coordinates of the matrix.
   • For each direction, move steps times and then change the direction.
   • If the new position is within the bounds of the matrix, add it to the result.

6. Increase Steps:

   • After moving in two directions, increase the number of steps.

7. Return Result:

   • Return the result containing the coordinates of the matrix in spiral order.

Python Solution

1. Initialize Result List:

   • Create a result list to store the coordinates of the matrix in spiral order.

2. Define Directions:

   • Define four possible movement directions: right, down, left, and up.

3. Initialize Steps and Direction:

   • Start with 1 step and initialize the direction index to 0 (right).

4. Set Starting Position:

   • Set the starting position to the given rStart and cStart.
   • Add the starting position to the result.

5. Loop Until All Cells Are Visited:

   • Continue the loop until the result contains all the coordinates of the matrix.
   • For each direction, move steps times and then change the direction.
   • If the new position is within the bounds of the matrix, add it to the result.

6. Increase Steps:

   • After moving in two directions, increase the number of steps.

7. Return Result:

   • Return the result containing the coordinates of the matrix in spiral order.

Go Solution

1. Initialize Result Slice:

   • Create a result slice to store the coordinates of the matrix in spiral order.

2. Define Directions:

   • Define four possible movement directions: right, down, left, and up.

3. Initialize Steps and Direction:

   • Start with 1 step and initialize the direction index to 0 (right).

4. Set Starting Position:

   • Set the starting position to the given rStart and cStart.
   • Add the starting position to the result.

5. Loop Until All Cells Are Visited:

   • Continue the loop until the result contains all the coordinates of the matrix.
   • For each direction, move steps times and then change the direction.
   • If the new position is within the bounds of the matrix, add it to the result.

6. Increase Steps:

   • After moving in two directions, increase the number of steps.

7. Return Result:

   • Return the result containing the coordinates of the matrix in spiral order.