顺时针打印矩阵

1. 题目形容

输出一个矩阵,依照从内向里以顺时针的程序顺次打印出每一个数字

2. 示例

[[ 1, 2, 3, 4],

[ 5, 6, 7, 8],

[ 9, 10, 11, 12],

[13, 14, 15, 16]]

则顺次打印出数字1,2,3,4,8,12,16,15,14,13,9,5,6,7,11,10.

3. 解题思路

顺时针走,即向右->向下->向左->向上,一共要走(长*宽)步。

遇到边界就改变方向,当向上碰到顶的时候,四个边界都放大。思路简略,一个循环即可!

4. Java实现

import java.util.ArrayList;public class Solution {    public ArrayList<Integer> printMatrix(int [][] matrix) {        ArrayList<Integer> res = new ArrayList();        int rows = matrix.length;  // 行的大小        int cols = matrix[0].length; // 列的大小                if (rows == 0 || cols == 0){            return res;        }                // 从左到右开始遍历,right最左边【列】,从上到下,bottom最底部【行】        int left = 0, right = cols-1, top = 0, bottom = rows -1;                while(left <= right && top <= bottom){            // 从左到右开始遍历            for(int i = left; i <= right; i++){                res.add(matrix[top][i]);            }            // 从上到下开始遍历            for (int i = top+1; i <= bottom; i++){                res.add(matrix[i][right]);            }            // 从下往上开始遍历            if (top != bottom){                for (int i = right-1; i>= left; i--){                    res.add(matrix[bottom][i]);                }            }            //从 右往左开始遍历            if (left != right){                for (int i = bottom-1; i > top; i--){                    res.add(matrix[i][left]);                }            }            left++;            right--;            top++;            bottom--;        }      return res;    }    }

5. Python实现

# -*- coding:utf-8 -*-class Solution:    # matrix类型为二维列表,须要返回列表    def printMatrix(self, matrix):        if matrix == None:            return        rows = len(matrix)        columns = len(matrix[0])        start = 0        while rows > start * 2 and columns > start * 2:            self.PrintMatrixInCircle(matrix, columns, rows, start)            start += 1        print('')     def PrintMatrixInCircle(self, matrix, columns, rows, start):        endX = columns - 1 - start        endY = rows - 1 - start         # 从左到右打印一行        for i in range(start, endX+1):            number = matrix[start][i]            print(number, ' ', end='')         # 从上到下打印一行        if start < endY:            for i in range(start+1, endY+1):                number = matrix[i][endX]                print(number, ' ', end='')         # 从右到左打印一行        if start < endX and start < endY:            for i in range(endX-1, start-1, -1):                number = matrix[endY][i]                print(number, ' ', end='')         # 从下到上打印一行        if start < endX and start < endY-1:            for i in range(endY-1, start, -1):                number = matrix[i][start]                print(number, ' ', end='')
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