题目出处
题目描述
个人解法
思路：
todo
代码示例：（Java）
todo
复杂度分析
todo
官方解法
方法1：模拟
思路：
代码示例：（Java）
public class Solution1 {
public int[][] generateMatrix(int n) {
int maxNum = n * n;
int curNum = 1;
int[][] matrix = new int[n][n];
int row = 0, column = 0;
int[][] directions = {{0, 1}, {1, 0}, {0, -1}, {-1, 0}}; // 右下左上
int directionIndex = 0;
while (curNum <= maxNum) {
matrix[row][column] = curNum;
curNum++;
int nextRow = row + directions[directionIndex][0], nextColumn = column + directions[directionIndex][1];
if (nextRow < 0 || nextRow >= n || nextColumn < 0 || nextColumn >= n || matrix[nextRow][nextColumn] != 0) {
directionIndex = (directionIndex + 1) % 4; // 顺时针旋转至下一个方向
}
row = row + directions[directionIndex][0];
column = column + directions[directionIndex][1];
}
return matrix;
}
}
复杂度分析
方法2:按层模拟
思路：
代码示例：（Java）
public class Solution2 {
public int[][] generateMatrix(int n) {
int num = 1;
int[][] matrix = new int[n][n];
int left = 0, right = n - 1, top = 0, bottom = n - 1;
while (left <= right && top <= bottom) {
for (int column = left; column <= right; column++) {
matrix[top][column] = num;
num++;
}
for (int row = top + 1; row <= bottom; row++) {
matrix[row][right] = num;
num++;
}
if (left < right && top < bottom) {
for (int column = right - 1; column > left; column--) {
matrix[bottom][column] = num;
num++;
}
for (int row = bottom; row > top; row--) {
matrix[row][left] = num;
num++;
}
}
left++;
right--;
top++;
bottom--;
}
return matrix;
}
}
复杂度分析
