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算法:顺时针打印矩阵


顺时针打印矩阵

顺时针打印矩阵

输入一个矩阵,按照从外向里以顺时针的顺序依次打印出每一个数字

例如,如果输入如下4 X 4矩阵: 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16

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


分析

四个方向:

  • 从左到右
  • 从上到下
  • 从右到左
  • 从下到上

建立四个方向的index: left = 0, up = 0, down = row - 1, right = col - 1;

然后小心修改即可


代码

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import java.util.ArrayList;
public class Solution {
public ArrayList<Integer> printMatrix(int [][] matrix) {
if (matrix == null || matrix.length == 0 || matrix[0].length == 0) return new ArrayList<>();

int row = matrix.length, col = matrix[0].length;
ArrayList<Integer> res = new ArrayList<>(row * col + 1);
int left = 0, up = 0, down = row - 1, right = col - 1;
while (left <= right && up <= down) {
// left -> right
for (int i = left; i <= right; i++) res.add(matrix[up][i]);
// up -> down
for (int i = up + 1; i <= down; ++i) res.add(matrix[i][right]);
// right -> left
if (up != down) {
for (int i = right - 1; i >= left; --i) res.add(matrix[down][i]);
}
// down -> up
if (left != right) {
for (int i = down - 1; i > up; --i) res.add(matrix[i][left]);
}
left++;
up++;
down--;
right--;
}
return res;
}
}

本文作者:Jasonkay
本文链接:https://jasonkayzk.github.io/cn/1996/07/27/%E7%AE%97%E6%B3%95-%E9%A1%BA%E6%97%B6%E9%92%88%E6%89%93%E5%8D%B0%E7%9F%A9%E9%98%B5/
版权声明:本文采用 CC BY-NC-SA 3.0 CN 协议进行许可