Calculate Bitonicity of an Array

The bitonicity of an array is defined using the following syntax −

To find bitonicity of an array based on its elements is −

Bitonicity = 0 , initially arr[0]
i from 0 to n
Bitonicity = Bitonicity+1 ; if arr[i] > arr[i-1]
Bitonicity = Bitonicity-1 ; if arr[i] < arr[i-1]
Bitonicity = Bitonicity ; if arr[i] = arr[i-1]

Example

The code for finding the bitonicity of an array we have used a variable called bitonicity, that changes its based on the comparison of the current and previous elements of the array. The above logic updates the bitonicity of the array and final bitonicity can be found at the end of the array.

#include <iostream>
using namespace std;
int main() {
   int arr[] = { 1, 2, 4, 5, 4, 3 };
   int n = sizeof(arr) / sizeof(arr[0]); int Bitonicity = 0;
   for (int i = 1; i < n; i++) {
      if (arr[i] > arr[i - 1])
         Bitonicity++;
      else if (arr[i] < arr[i - 1]) Bitonicity--;
   }
   cout << "Bitonicity = " << Bitonicity;
   return 0;
}

Output

Bitonicity = 1