bubble sort max number of comparisons and passes formula code example

Example: Write a program to sort an array 100,200,20, 75,89.198, 345,56,34,35 using Bubble Sort. The program should be able to display total number of passes used for sorted data in given data set.

void swap(int *xp, int *yp) 
{ 
    int temp = *xp; 
    *xp = *yp; 
    *yp = temp; 
} 
  
// An optimized version of Bubble Sort 
void bubbleSort(int arr[], int n) 
{ 
   int i, j; 
   bool swapped; 
   for (i = 0; i < n-1; i++) 
   { 
     swapped = false; 
     for (j = 0; j < n-i-1; j++) 
     { 
        if (arr[j] > arr[j+1]) 
        { 
           swap(&arr[j], &arr[j+1]); 
           swapped = true; 
        } 
     } 
  
     // IF no two elements were swapped by inner loop, then break 
     if (swapped == false) 
        break; 
   } 
}