Spiral Matrix III Problem


Description

LeetCode Problem 885.

You start at the cell (rStart, cStart) of an rows x cols grid facing east. The northwest corner is at the first row and column in the grid, and the southeast corner is at the last row and column.

You will walk in a clockwise spiral shape to visit every position in this grid. Whenever you move outside the grid’s boundary, we continue our walk outside the grid (but may return to the grid boundary later.). Eventually, we reach all rows * cols spaces of the grid.

Return an array of coordinates representing the positions of the grid in the order you visited them.

Example 1:

1
2
Input: rows = 1, cols = 4, rStart = 0, cStart = 0
Output: [[0,0],[0,1],[0,2],[0,3]]

Example 2:

1
2
Input: rows = 5, cols = 6, rStart = 1, cStart = 4
Output: [[1,4],[1,5],[2,5],[2,4],[2,3],[1,3],[0,3],[0,4],[0,5],[3,5],[3,4],[3,3],[3,2],[2,2],[1,2],[0,2],[4,5],[4,4],[4,3],[4,2],[4,1],[3,1],[2,1],[1,1],[0,1],[4,0],[3,0],[2,0],[1,0],[0,0]]

Constraints:

  • 1 <= rows, cols <= 100
  • 0 <= rStart < rows
  • 0 <= cStart < cols


Sample C++ Code

1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
class Solution {
public:
    vector<vector<int>> spiralMatrixIII(int rows, int cols, int rStart, int cStart) {
        vector<vector<int>> result = { {rStart, cStart} };
        vector<vector<int>> dir = { {0, 1}, {1, 0}, {0, -1}, {-1, 0} };
        int len = 0, d = 0;
        while (result.size() < rows * cols) {
            if (d == 0 || d == 2) 
                len++;
            for (int i = 0; i < len; i++) {
                rStart += dir[d][0];
                cStart += dir[d][1];
                if (rStart >= 0 && rStart < rows && cStart >= 0 && cStart < cols) {
                    result.push_back({rStart, cStart});
                }
            }
            d = (d + 1) % 4;
        }
        return result;
    }
};




Related Posts

Transpose Matrix Problem

LeetCode 867. Given a 2D integer array matrix, return the...

Spiral Matrix III Problem

LeetCode 885. You start at the cell (rStart, cStart) of...

Minimize Malware Spread II Problem

LeetCode 928. You are given a network of n nodes...

Max Increase To Keep City Skyline Problem

LeetCode 807. There is a city composed of n x...

Making A Large Island Problem

LeetCode 827. You are given an n x n binary...

Image Overlap Problem

LeetCode 835. You are given two images, img1 and img2,...