Given an array of n non-negative integers. The task is to find frequency of a particular element in the arbitrary range of array[]. The range is given as positions (not 0 based indexes) in array. There can be multiple queries of given type.Â
Examples:Â
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Input : arr[] = {2, 8, 6, 9, 8, 6, 8, 2, 11};
left = 2, right = 8, element = 8
left = 2, right = 5, element = 6
Output : 3
1
The element 8 appears 3 times in arr[left-1..right-1]
The element 6 appears 1 time in arr[left-1..right-1]
Naive approach: is to traverse from left to right and update count variable whenever we find the element.Â
Below is the code of Naive approach:-Â
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Java
class GFG {
public static int findFrequency( int arr[], int n,
int left, int right,
int element)
{
int count = 0 ;
for ( int i = left - 1 ; i < right; ++i)
if (arr[i] == element)
++count;
return count;
}
public static void main(String[] args)
{
int arr[] = { 2 , 8 , 6 , 9 , 8 , 6 , 8 , 2 , 11 };
int n = arr.length;
System.out.println( "Frequency of 2 from 1 to 6 = " +
findFrequency(arr, n, 1 , 6 , 2 ));
System.out.println( "Frequency of 8 from 4 to 9 = " +
findFrequency(arr, n, 4 , 9 , 8 ));
}
}
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Output:Â
Frequency of 2 from 1 to 6 = 1
Frequency of 8 from 4 to 9 = 2
Time complexity of this approach is O(right – left + 1) or O(n)Â
Auxiliary space: O(1)
Please refer complete article on Range Queries for Frequencies of array elements for more details!