{ "data": { "question": { "questionId": "2101", "questionFrontendId": "1970", "boundTopicId": null, "title": "Last Day Where You Can Still Cross", "titleSlug": "last-day-where-you-can-still-cross", "content": "
There is a 1-based binary matrix where 0
represents land and 1
represents water. You are given integers row
and col
representing the number of rows and columns in the matrix, respectively.
Initially on day 0
, the entire matrix is land. However, each day a new cell becomes flooded with water. You are given a 1-based 2D array cells
, where cells[i] = [ri, ci]
represents that on the ith
day, the cell on the rith
row and cith
column (1-based coordinates) will be covered with water (i.e., changed to 1
).
You want to find the last day that it is possible to walk from the top to the bottom by only walking on land cells. You can start from any cell in the top row and end at any cell in the bottom row. You can only travel in the four cardinal directions (left, right, up, and down).
\n\nReturn the last day where it is possible to walk from the top to the bottom by only walking on land cells.
\n\n\n
Example 1:
\n\n\nInput: row = 2, col = 2, cells = [[1,1],[2,1],[1,2],[2,2]]\nOutput: 2\nExplanation: The above image depicts how the matrix changes each day starting from day 0.\nThe last day where it is possible to cross from top to bottom is on day 2.\n\n\n
Example 2:
\n\n\nInput: row = 2, col = 2, cells = [[1,1],[1,2],[2,1],[2,2]]\nOutput: 1\nExplanation: The above image depicts how the matrix changes each day starting from day 0.\nThe last day where it is possible to cross from top to bottom is on day 1.\n\n\n
Example 3:
\n\n\nInput: row = 3, col = 3, cells = [[1,2],[2,1],[3,3],[2,2],[1,1],[1,3],[2,3],[3,2],[3,1]]\nOutput: 3\nExplanation: The above image depicts how the matrix changes each day starting from day 0.\nThe last day where it is possible to cross from top to bottom is on day 3.\n\n\n
\n
Constraints:
\n\n2 <= row, col <= 2 * 104
4 <= row * col <= 2 * 104
cells.length == row * col
1 <= ri <= row
1 <= ci <= col
cells
are unique.Compiled with clang 11
using the latest C++ 20 standard.
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Most standard library headers are already included automatically for your convenience.
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