Count the number of survivors

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Given a matrix mat[][] containing the characters [1 – 9], P and * where P is a person and * is an empty space. An integer in the current cell denotes a bomb that can destroy an object within a radius equal to the value of the cell. The task is to count and print the number of persons that will survive the blast.

Examples:

Input: 
mat[] = { "P***", 
          "****", 
          "2**P", 
          "****" }
Output: 1
Only the person in the third row 
will survive. Note that the person 
in the first row is within the 
radius of the bomb.

Input:
mat[] = { "2***P*", 
          "P*****", 
          "******", 
          "**1***", 
          "******", 
          "*****P" }
Output: 2
The persons in the first and last
row survive.

Approach:

Traverse the matrix character by character, if the current character is a digit (1 – 9) then change all the surrounding elements within the radius to * (in all eight directions) indicating that no one survived within that radius. After all the elements of the matrix have been traversed, count the number of cells indicating a person i.e. mat[i][j] = ‘P’. Print the count in the end.

Below is the implementation of the above approach:

C++

// C++ implementation of the approach
#include <iostream>
using namespace std;
 
// Function to return the count of
// the people that survived
int countSurvivors(string mat[], int row, int col)
{
    int i, j, count = 0;
 
    for (i = 0; i < row; i++) {
        for (j = 0; j < col; j++) {
 
            // If current cell is a bomb
            if (mat[i][j] > '0' && mat[i][j] <= '9') {
                int radius = mat[i][j] - '0';
 
                // Coordinates of the sub-matrix
                // that will be affected by the blast
                int iMin = max(i - radius, 0);
                int iMax = min(i + radius, row - 1);
                int jMin = max(j - radius, 0);
                int jMax = min(j + radius, col - 1);
 
                for (int k = iMin; k <= iMax; k++)
                    for (int l = jMin; l <= jMax; l++)
 
                        // Set the current cell to
                        //  empty space without a person
                        mat[k][l] = '*';
            }
        }
    }
 
    // Count the remaining persons
    for (i = 0; i < row; i++)
        for (j = 0; j < col; j++)
            if (mat[i][j] == 'P')
                count++;
 
    return count;
}
 
// Driver Code
int main()
{
    // Input matrix
    string mat[] = { "P***", "****", "2**P", "****" };
 
    // Rows and columns of the matrix
    int row = sizeof(mat) / sizeof(mat[0]);
    int col = mat[0].length();
 
    // Total people survived
    cout << countSurvivors(mat, row, col);
}

Java

// Java implementation of the approach 
class GFG
{
 
// Function to return the count of 
// the people that survived 
static int countSurvivors(String mat[], int row, int col) 
    { 
        int i, j, count = 0; 
     
        for (i = 0; i < row; i++)
        { 
            for (j = 0; j < col; j++) 
            { 
     
                // If current cell is a bomb 
                if (mat[i].charAt(j) > '0' && mat[i].charAt(j) <= '9') 
                { 
                    int radius = mat[i].charAt(j) - '0'; 
     
                    // Coordinates of the sub-matrix 
                    // that will be affected by the blast 
                    int iMin = Math.max(i - radius, 0); 
                    int iMax = Math.min(i + radius, row - 1); 
                    int jMin = Math.max(j - radius, 0); 
                    int jMax = Math.min(j + radius, col - 1); 
     
                    for (int k = iMin; k <= iMax; k++) 
                    {
                         
                        // convert string nto character array
                        char C [] = mat[k].toCharArray();
                         
                        for (int l = jMin; l <= jMax; l++) 
                        {
                            // Set the current cell to 
                            // empty space without a person 
                            C [l] = '*' ; 
                        }
                        // convert character array back into the string
                        String s = new String(C) ;
                        mat[k] = s ;
                    }
                } 
            } 
        } 
     
        // Count the remaining persons 
        for (i = 0; i < row; i++) 
            for (j = 0; j < col; j++) 
                if (mat[i].charAt(j) == 'P') 
                    count++; 
     
        return count; 
    } 
     
    // Driver Code 
    public static void main(String []args)
    { 
        // Input matrix 
        String mat[] = { "P***", "****", "2**P", "****" }; 
     
        // Rows and columns of the matrix 
        int row = mat.length ; 
        int col = mat[0].length(); 
     
        // Total people survived 
        System.out.println(countSurvivors(mat, row, col)); 
    } 
}
 
// This code is contributed by Ryuga

Python3

# Python3 implementation of the approach
import math as mt
 
# Function to return the count of
# the people that survived
def countSurvivors(mat, row, col):
 
    i, j, count = 0, 0, 0
 
    for i in range(row): 
        for j in range(col): 
 
            # If current cell is a bomb
            if (mat[i][j] > '0' and mat[i][j] <= '9'): 
                radius = ord(mat[i][j]) - ord('0')
 
                # Coordinates of the sub-matrix
                # that will be affected by the blast
                iMin = max(i - radius, 0)
                iMax = min(i + radius, row - 1)
                jMin = max(j - radius, 0)
                jMax = min(j + radius, col - 1)
 
                for k in range(iMin, iMax + 1):
                    for l in range(jMin, jMax + 1):
 
                        # Set the current cell to
                        # empty space without a person
                        mat[k][l] = '*'
             
    # Count the remaining persons
    for i in range(row):
        for j in range(col):
            if (mat[i][j] == 'P'):
                count += 1
 
    return count
 
# Driver Code
 
# Input matrix
mat = [["P", "*", "*", "*"], 
       ["*", "*", "*", "*"], 
       ["2", "*", "*", "P"],
       ["*", "*", "*", "*"]]
 
# Rows and columns of the matrix
row = len(mat)
col = len(mat[0])
 
# Total people survived
print(countSurvivors(mat, row, col))
 
# This code is contributed by
# Mohit Kumar 29

C#

// C# implementation of the approach
using System;
using System.Collections.Generic;
     
class GFG
{
 
// Function to return the count of 
// the people that survived 
static int countSurvivors(String []mat, 
                          int row, int col) 
{ 
    int i, j, count = 0; 
 
    for (i = 0; i < row; i++)
    { 
        for (j = 0; j < col; j++) 
        { 
 
            // If current cell is a bomb 
            if (mat[i][j] > '0' && mat[i][j] <= '9') 
            { 
                int radius = mat[i][j] - '0'; 
 
                // Coordinates of the sub-matrix 
                // that will be affected by the blast 
                int iMin = Math.Max(i - radius, 0); 
                int iMax = Math.Min(i + radius, row - 1); 
                int jMin = Math.Max(j - radius, 0); 
                int jMax = Math.Min(j + radius, col - 1); 
 
                for (int k = iMin; k <= iMax; k++) 
                {
                     
                    // convert string nto character array
                    char []C = mat[k].ToCharArray();
                     
                    for (int l = jMin; l <= jMax; l++) 
                    {
                        // Set the current cell to 
                        // empty space without a person 
                        C [l] = '*'; 
                    }
                    // convert character array back into the string
                    String s = new String(C);
                    mat[k] = s;
                }
            } 
        } 
    } 
 
    // Count the remaining persons 
    for (i = 0; i < row; i++) 
        for (j = 0; j < col; j++) 
            if (mat[i][j] == 'P') 
                count++; 
 
    return count; 
} 
 
// Driver Code 
public static void Main(String []args)
{ 
    // Input matrix 
    String []mat = { "P***", "****", 
                     "2**P", "****" }; 
 
    // Rows and columns of the matrix 
    int row = mat.Length ; 
    int col = mat[0].Length; 
 
    // Total people survived 
    Console.WriteLine(countSurvivors(mat, row, col)); 
} 
}
 
// This code is contributed by Rajput-Ji

Javascript

<script>
 
    // JavaScript implementation of the approach 
     
    // Function to return the count of 
    // the people that survived 
    function countSurvivors(mat, row, col) 
    { 
        let i, j, count = 0; 
       
        for (i = 0; i < row; i++)
        { 
            for (j = 0; j < col; j++) 
            { 
       
                // If current cell is a bomb 
                if (mat[i][j].charCodeAt() > '0'.charCodeAt() && 
                mat[i][j].charCodeAt() <= '9'.charCodeAt()) 
                { 
                    let radius = mat[i][j].charCodeAt() -
                    '0'.charCodeAt(); 
       
                    // Coordinates of the sub-matrix 
                    // that will be affected by the blast 
                    let iMin = Math.max(i - radius, 0); 
                    let iMax = Math.min(i + radius, row - 1); 
                    let jMin = Math.max(j - radius, 0); 
                    let jMax = Math.min(j + radius, col - 1); 
       
                    for (let k = iMin; k <= iMax; k++) 
                    {
                           
                        // convert string nto character array
                        let C = mat[k].split('');
                           
                        for (let l = jMin; l <= jMax; l++) 
                        {
                            // Set the current cell to 
                            // empty space without a person 
                            C[l] = '*' ; 
                        }
                        // convert character array 
                        // back into the string
                        let s = C.join("");
                        mat[k] = s ;
                    }
                } 
            } 
        } 
       
        // Count the remaining persons 
        for (i = 0; i < row; i++) 
            for (j = 0; j < col; j++) 
                if (mat[i][j] == 'P') 
                    count++; 
       
        return count; 
    } 
     
      // Input matrix 
    let mat = [ "P***", "****", "2**P", "****" ]; 
 
    // Rows and columns of the matrix 
    let row = mat.length; 
    let col = mat[0].length; 
 
    // Total people survived 
    document.write(countSurvivors(mat, row, col)); 
     
</script>

Output

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