54.Spiral Matrix
54. Spiral Matrix
- Given an
m x n
matrix
, return all elements of thematrix
in spiral order.
Example 1
Input: matrix = [[1,2,3],[4,5,6],[7,8,9]]
Output: [1,2,3,6,9,8,7,4,5]
Example 2
Input: matrix = [[1,2,3,4],[5,6,7,8],[9,10,11,12]]
Output: [1,2,3,4,8,12,11,10,9,5,6,7]
Method 1
【O(n*m) time | O(n*m) space】
package Leetcode.MathGeometry;
import java.util.ArrayList;
import java.util.List;
/**
* Author: zhengstars
* Date: 2024/06/05
*/
public class SpiralMatrix {
/**
* Method to return the elements of the matrix in spiral order.
*
* @param matrix The input 2D matrix.
* @return The list of matrix elements in spiral order.
*/
public List<Integer> spiralOrder(int[][] matrix) {
List<Integer> result = new ArrayList<>();
// Check if the input matrix is empty or null.
if (matrix == null || matrix.length == 0) {
return result;
}
// Initialize the boundary pointers.
int top = 0, bottom = matrix.length - 1;
int left = 0, right = matrix[0].length - 1;
// Continue the process while there are elements within the boundaries.
while (top <= bottom && left <= right) {
// Traverse from left to right on the current top boundary.
// Add each element to the result list.
for (int i = left; i <= right; i++) {
result.add(matrix[top][i]);
}
top++; // Move the top boundary down.
// Traverse from top to bottom on the current right boundary.
// Add each element to the result list.
for (int i = top; i <= bottom; i++) {
result.add(matrix[i][right]);
}
right--; // Move the right boundary left.
// Ensure there are still rows to traverse.
if (top <= bottom) {
// Traverse from right to left on the current bottom boundary.
// Add each element to the result list.
for (int i = right; i >= left; i--) {
result.add(matrix[bottom][i]);
}
bottom--; // Move the bottom boundary up.
}
// Ensure there are still columns to traverse.
if (left <= right) {
// Traverse from bottom to top on the current left boundary.
// Add each element to the result list.
for (int i = bottom; i >= top; i--) {
result.add(matrix[i][left]);
}
left++; // Move the left boundary right.
}
}
// Return the result list containing the matrix elements in spiral order.
return result;
}
/**
* Main method to test the spiralOrder method with example inputs.
*
* @param args Command line arguments (not used).
*/
public static void main(String[] args) {
SpiralMatrix sm = new SpiralMatrix();
int[][] matrix1 = {
{1, 2, 3},
{4, 5, 6},
{7, 8, 9}
};
// Test case 1: Example input matrix1.
// Expected output: [1, 2, 3, 6, 9, 8, 7, 4, 5]
System.out.println(sm.spiralOrder(matrix1));
int[][] matrix2 = {
{1, 2, 3, 4},
{5, 6, 7, 8},
{9, 10, 11, 12}
};
// Test case 2: Example input matrix2.
// Expected output: [1, 2, 3, 4, 8, 12, 11, 10, 9, 5, 6, 7]
System.out.println(sm.spiralOrder(matrix2));
}
}
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