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C++ Program to find out the number of border cells in a grid
Suppose, we are given a grid of dimensions h * w. We have to color the border cells of the grid (i.e. the outermost cells of the grid) with a special color. We have to find out how many border cells we have to color.
Problem Category
Various problems in programming can be solved through different techniques. To solve a problem, we have to devise an algorithm first, and to do that we have to study the particular problem in detail. A recursive approach can be used if there is a recurring appearance of the same problem over and over again; alternatively, we can use iterative structures also. Control statements such as if-else and switch cases can be used to control the flow of logic in the program. Efficient usage of variables and data structures provides an easier solution and a lightweight, low-memory-requiring program. We have to look at the existing programming techniques, such as Divide-and-conquer, Greedy Programming, Dynamic Programming, and find out if they can be used. This problem can be solved by some basic logic or a brute-force approach. Follow the following contents to understand the approach better.
So, if the input of our problem is like h = 4, w = 4, then the output will be 12.
Steps
To solve this, we will follow these steps −
return (2 * ((h - 2) + 2 * (w - 2)))
Example
Let us see the following implementation to get better understanding −
#include<bits/stdc++.h>
using namespace std;
void solve(int h, int w) {
cout<< 2 * (h - 2) + 2 * (w - 2) + 4 ;
}
int main() {
int h = 4, w = 4;
solve(h, w);
return 0;
}Input
4, 4
Output
12
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