How to Solve Number of Laser Beams in a Bank Leetcode Problem - Interview Coder Guide
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How to Solve Number of Laser Beams in a Bank Problem

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Medium#2244
LeetCode Problem

Number of Laser Beams in a Bank

Anti-theft security devices are activated inside a bank. You are given a 0-indexed binary string array bank representing the floor plan of the bank, which is an m x n 2D matrix. bank[i] represents the...

ArrayMathString+1 more

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Problem Breakdown

Understanding the Number of Laser Beams in a Bank Problem

Let's break down this LeetCode problem and understand what makes it challenging in interview settings.

Problem Statement

Anti-theft security devices are activated inside a bank. You are given a 0-indexed binary string array bank representing the floor plan of the bank, which is an m x n 2D matrix. bank[i] represents the ith row, consisting of '0's and '1's. '0' means the cell is empty, while'1' means the cell has a security device. There is one laser beam between any two security devices if both conditions are met: The two devices are located on two different rows: r1 and r2, where r1 < r2. For each row i where r1 < i < r2, there are no security devices in the ith row. Laser beams are independent, i.e., one beam does not interfere nor join with another. Return the total number of laser beams in the bank.

MediumProblem #2244
LeetCode

Number of Laser Beams in a Bank

Related Topics
ArrayMathStringMatrix
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Examples

Example 1
INPUT
bank = ["011001","000000","010100","001000"]
OUTPUT
8
EXPLANATION

Between each of the following device pairs, there is one beam. In total, there are 8 beams: * bank[0][1] -- bank[2][1] * bank[0][1] -- bank[2][3] * bank[0][2] -- bank[2][1] * bank[0][2] -- bank[2][3] * bank[0][5] -- bank[2][1] * bank[0][5] -- bank[2][3] * bank[2][1] -- bank[3][2] * bank[2][3] -- bank[3][2] Note that there is no beam between any device on the 0th row with any on the 3rd row. This is because the 2nd row contains security devices, which breaks the second condition.

Example 2
INPUT
bank = ["000","111","000"]
OUTPUT
0
EXPLANATION

There does not exist two devices located on two different rows.

Constraints

m == bank.length
n == bank[i].length
1 <= m, n <= 500
bank[i][j] is either '0' or '1'.

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