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C++ program to check we can place dominos on colored cells in correct order or not
Suppose we have five numbers n, k1, k2, w and b. There is a board with 2 x n cells and first k1 cells in the first row, first k2 cells in second row are colored in white. All other cells are black. We have w white dominos and b black dominos (2 x 1 size). We can place a white domino on the board if both board's cells are white and not occupied by any other domino. In the same way, a black domino can be placed if both cells are black and not occupied by any other domino. We have to check whether we can place all w + b dominoes on the board if they are placed both horizontally and vertically?
So, if the input is like n = 5; k1 = 4; k2 = 3; w = 3; b = 1, then the output will be True.
Steps
To solve this, we will follow these steps −
if 2 * w <= (k1 + k2) and 2 * b <= (n - k1 + n - k2), then: return true Otherwise return false
Example
Let us see the following implementation to get better understanding −
#include <bits/stdc++.h>
using namespace std;
bool solve(int n, int k1, int k2, int w, int b) {
if (2 * w <= (k1 + k2) && 2 * b <= (n - k1 + n - k2)) {
return true;
}
else {
return false;
}
}
int main() {
int n = 5;
int k1 = 4;
int k2 = 3;
int w = 3;
int b = 1;
cout << solve(n, k1, k2, w, b) << endl;
}Input
5, 4, 3, 3, 1
Output
1
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