- 顺时针打印矩阵
- 题目
- 解题思路
顺时针打印矩阵
题目
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
.
解题思路
- 通过4个指针,表示可打印区域,并对区域进行收缩
- 非 n*n 的矩阵,对于剩余非 4 边遍历的元素,要考虑边界
public ArrayList<Integer> printMatrix(int[][] matrix) {
ArrayList<Integer> res = new ArrayList<>();
if (matrix.length == 0) {
return res;
}
if (matrix.length == 1) {
for (int i : matrix[0]) {
res.add(i);
}
return res;
}
int top = 0, bottom = matrix.length - 1, left = 0, right = matrix[0].length - 1;
for (; left <= right && top <= bottom; ) {
if (top == bottom) {
for (int i = left; i <= right; i++) {
res.add(matrix[top][i]);
}
break;
}
if (left == right) {
for (int i = top; i <= bottom; i++) {
res.add(matrix[i][left]);
}
break;
}
for (int p = left; p <= right; p++) {
res.add(matrix[top][p]);
}
top++;
for (int p = top; p <= bottom; p++) {
res.add(matrix[p][right]);
}
right--;
for (int p = right; p >= left; p--) {
res.add(matrix[bottom][p]);
}
bottom--;
for (int p = bottom; p >= top; p--) {
res.add(matrix[p][left]);
}
left++;
}
return res;
}