{ "data": { "question": { "questionId": "1043", "questionFrontendId": "1001", "boundTopicId": null, "title": "Grid Illumination", "titleSlug": "grid-illumination", "content": "

There is a 2D grid of size n x n where each cell of this grid has a lamp that is initially turned off.

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You are given a 2D array of lamp positions lamps, where lamps[i] = [rowi, coli] indicates that the lamp at grid[rowi][coli] is turned on. Even if the same lamp is listed more than once, it is turned on.

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When a lamp is turned on, it illuminates its cell and all other cells in the same row, column, or diagonal.

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You are also given another 2D array queries, where queries[j] = [rowj, colj]. For the jth query, determine whether grid[rowj][colj] is illuminated or not. After answering the jth query, turn off the lamp at grid[rowj][colj] and its 8 adjacent lamps if they exist. A lamp is adjacent if its cell shares either a side or corner with grid[rowj][colj].

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Return an array of integers ans, where ans[j] should be 1 if the cell in the jth query was illuminated, or 0 if the lamp was not.

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Example 1:

\n\"\"\n
\nInput: n = 5, lamps = [[0,0],[4,4]], queries = [[1,1],[1,0]]\nOutput: [1,0]\nExplanation: We have the initial grid with all lamps turned off. In the above picture we see the grid after turning on the lamp at grid[0][0] then turning on the lamp at grid[4][4].\nThe 0th query asks if the lamp at grid[1][1] is illuminated or not (the blue square). It is illuminated, so set ans[0] = 1. Then, we turn off all lamps in the red square.\n\"\"\nThe 1st query asks if the lamp at grid[1][0] is illuminated or not (the blue square). It is not illuminated, so set ans[1] = 0. Then, we turn off all lamps in the red rectangle.\n\"\"\n
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Example 2:

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\nInput: n = 5, lamps = [[0,0],[4,4]], queries = [[1,1],[1,1]]\nOutput: [1,1]\n
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Example 3:

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\nInput: n = 5, lamps = [[0,0],[0,4]], queries = [[0,4],[0,1],[1,4]]\nOutput: [1,1,0]\n
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Constraints:

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Compiled with clang 11 using the latest C++ 20 standard.

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Your code is compiled with level two optimization (-O2). AddressSanitizer is also enabled to help detect out-of-bounds and use-after-free bugs.

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Most standard library headers are already included automatically for your convenience.

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OpenJDK 17. Java 8 features such as lambda expressions and stream API can be used.

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Python 2.7.12.

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Most libraries are already imported automatically for your convenience, such as array, bisect, collections. If you need more libraries, you can import it yourself.

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For Map/TreeMap data structure, you may use sortedcontainers library.

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C# 10 with .NET 6 runtime

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Node.js 16.13.2.

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Ruby 3.1

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Some common data structure implementations are provided in the Algorithms module: https://www.rubydoc.info/github/kanwei/algorithms/Algorithms

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Go 1.21

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Python 3.10.

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