mirror of
https://gitee.com/coder-xiaomo/leetcode-problemset
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182 lines
17 KiB
JSON
182 lines
17 KiB
JSON
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"questionId": "2244",
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"questionFrontendId": "2125",
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"boundTopicId": null,
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"title": "Number of Laser Beams in a Bank",
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"titleSlug": "number-of-laser-beams-in-a-bank",
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"content": "<p>Anti-theft security devices are activated inside a bank. You are given a <strong>0-indexed</strong> binary string array <code>bank</code> representing the floor plan of the bank, which is an <code>m x n</code> 2D matrix. <code>bank[i]</code> represents the <code>i<sup>th</sup></code> row, consisting of <code>'0'</code>s and <code>'1'</code>s. <code>'0'</code> means the cell is empty, while<code>'1'</code> means the cell has a security device.</p>\n\n<p>There is <strong>one</strong> laser beam between any <strong>two</strong> security devices <strong>if both</strong> conditions are met:</p>\n\n<ul>\n\t<li>The two devices are located on two <strong>different rows</strong>: <code>r<sub>1</sub></code> and <code>r<sub>2</sub></code>, where <code>r<sub>1</sub> < r<sub>2</sub></code>.</li>\n\t<li>For <strong>each</strong> row <code>i</code> where <code>r<sub>1</sub> < i < r<sub>2</sub></code>, there are <strong>no security devices</strong> in the <code>i<sup>th</sup></code> row.</li>\n</ul>\n\n<p>Laser beams are independent, i.e., one beam does not interfere nor join with another.</p>\n\n<p>Return <em>the total number of laser beams in the bank</em>.</p>\n\n<p> </p>\n<p><strong>Example 1:</strong></p>\n<img alt=\"\" src=\"https://assets.leetcode.com/uploads/2021/12/24/laser1.jpg\" style=\"width: 400px; height: 368px;\" />\n<pre>\n<strong>Input:</strong> bank = ["011001","000000","010100","001000"]\n<strong>Output:</strong> 8\n<strong>Explanation:</strong> Between each of the following device pairs, there is one beam. In total, there are 8 beams:\n * bank[0][1] -- bank[2][1]\n * bank[0][1] -- bank[2][3]\n * bank[0][2] -- bank[2][1]\n * bank[0][2] -- bank[2][3]\n * bank[0][5] -- bank[2][1]\n * bank[0][5] -- bank[2][3]\n * bank[2][1] -- bank[3][2]\n * bank[2][3] -- bank[3][2]\nNote that there is no beam between any device on the 0<sup>th</sup> row with any on the 3<sup>rd</sup> row.\nThis is because the 2<sup>nd</sup> row contains security devices, which breaks the second condition.\n</pre>\n\n<p><strong>Example 2:</strong></p>\n<img alt=\"\" src=\"https://assets.leetcode.com/uploads/2021/12/24/laser2.jpg\" style=\"width: 244px; height: 325px;\" />\n<pre>\n<strong>Input:</strong> bank = ["000","111","000"]\n<strong>Output:</strong> 0\n<strong>Explanation:</strong> There does not exist two devices located on two different rows.\n</pre>\n\n<p> </p>\n<p><strong>Constraints:</strong></p>\n\n<ul>\n\t<li><code>m == bank.length</code></li>\n\t<li><code>n == bank[i].length</code></li>\n\t<li><code>1 <= m, n <= 500</code></li>\n\t<li><code>bank[i][j]</code> is either <code>'0'</code> or <code>'1'</code>.</li>\n</ul>\n",
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"hints": [
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"What is the commonality between security devices on the same row?",
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"Each device on the same row has the same number of beams pointing towards the devices on the next row with devices.",
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"If you were given an integer array where each element is the number of security devices on each row, can you solve it?",
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"Convert the input to such an array, skip any row with no security device, then find the sum of the product between adjacent elements."
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