2125. Number of Laser Beams in a Bank LeetCode Solution

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Table of Contents

  1. Problem Statement
  2. Complexity Analysis
  3. Number of Laser Beams in a Bank solution in C++
  4. Number of Laser Beams in a Bank solution in Java
  5. Number of Laser Beams in a Bank solution in Python
  6. Additional Resources
2125. Number of Laser Beams in a Bank LeetCode Solution image

Problem Statement of 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 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.

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.

See also  3360. Stone Removal Game LeetCode Solution

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'.

Complexity Analysis

  • Time Complexity: O(mn)
  • Space Complexity: O(1)

2125. Number of Laser Beams in a Bank LeetCode Solution in C++

class Solution {
 public:
  int numberOfBeams(vector<string>& bank) {
    int ans = 0;
    int prevOnes = 0;

    for (const string& row : bank) {
      const int ones = ranges::count(row, '1');
      if (ones > 0) {
        ans += prevOnes * ones;
        prevOnes = ones;
      }
    }

    return ans;
  }
};
/* code provided by PROGIEZ */

2125. Number of Laser Beams in a Bank LeetCode Solution in Java

class Solution {
  public int numberOfBeams(String[] bank) {
    int ans = 0;
    int prevOnes = 0;

    for (final String row : bank) {
      final int ones = (int) row.chars().filter(c -> c == '1').count();
      if (ones > 0) {
        ans += prevOnes * ones;
        prevOnes = ones;
      }
    }

    return ans;
  }
}
// code provided by PROGIEZ

2125. Number of Laser Beams in a Bank LeetCode Solution in Python

class Solution:
  def numberOfBeams(self, bank: list[str]) -> int:
    ans = 0
    prevOnes = 0

    for row in bank:
      ones = row.count('1')
      if ones:
        ans += prevOnes * ones
        prevOnes = ones

    return ans
# code by PROGIEZ

Additional Resources

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