# Find frequency of smallest value in an array

Given an array A of N elements. Find the frequency of the smallest value in the array.

Examples:

```Input : N = 5, arr[] = {3, 2, 3, 4, 4}
Output : 1
The smallest element in the array is 2
and it occurs only once.

Input : N = 6, arr[] = {4, 3, 5, 3, 3, 6}
Output : 3
The smallest element in the array is 3
and it occurs 3 times.
```

## Recommended: Please try your approach on {IDE} first, before moving on to the solution.

Simple Approach: A simple method is to first find the minimum element in the array in first traversal. Then traverse the array again and find the number of occurrences of the minimum element.

Efficient Approach: The efficient approach is to do this in a single traversal.
Let us assume the first element to be the current minimum, so the frequency of the current minimum would be 1. Now let’s iterate through the array (1 to N), we come across 2 cases:

• Current element is smaller than our current minimum: We change the current minimum to be equal to current element and since this is the first time we are coming across this element, we make it’s frequency 1.
• Current element is equal to the current minimum: We increment the frequency of current minimum.

Below is the implementation of the above approach:

## C++

 `// C++ program to find the frequency of ` `// minimum element in the array ` ` `  `#include ` `using` `namespace` `std; ` ` `  `// Function to find the frequency of the ` `// smallest value in the array ` `int` `frequencyOfSmallest(``int` `n, ``int` `arr[]) ` `{ ` `    ``int` `mn = arr[0], freq = 1; ` ` `  `    ``for` `(``int` `i = 1; i < n; i++) { ` ` `  `        ``// If current element is smaller ` `        ``// than minimum ` `        ``if` `(arr[i] < mn) { ` `            ``mn = arr[i]; ` `            ``freq = 1; ` `        ``} ` `        ``// If current element is equal ` `        ``// to smallest ` `        ``else` `if` `(arr[i] == mn) ` `            ``freq++; ` `    ``} ` ` `  `    ``return` `freq; ` `} ` ` `  `// Driver Code ` `int` `main() ` `{ ` `    ``int` `N = 5; ` `    ``int` `arr[] = { 3, 2, 3, 4, 4 }; ` ` `  `    ``cout << frequencyOfSmallest(N, arr); ` ` `  `    ``return` `0; ` `} `

## Java

 `// Java program to find the frequency of ` `// minimum element in the array ` `import` `java.io.*; ` ` `  `class` `GFG  ` `{ ` `     `  `// Function to find the frequency of the ` `// smallest value in the array ` `static` `int` `frequencyOfSmallest(``int` `n, ``int` `arr[]) ` `{ ` `    ``int` `mn = arr[``0``], freq = ``1``; ` ` `  `    ``for` `(``int` `i = ``1``; i < n; i++)  ` `    ``{ ` ` `  `        ``// If current element is smaller ` `        ``// than minimum ` `        ``if` `(arr[i] < mn) ` `        ``{ ` `            ``mn = arr[i]; ` `            ``freq = ``1``; ` `        ``} ` `         `  `        ``// If current element is equal ` `        ``// to smallest ` `        ``else` `if` `(arr[i] == mn) ` `            ``freq++; ` `    ``} ` `    ``return` `freq; ` `} ` ` `  `    ``// Driver Code ` `    ``public` `static` `void` `main (String[] args)  ` `    ``{ ` `        ``int` `N = ``5``; ` `        ``int` `arr[] = { ``3``, ``2``, ``3``, ``4``, ``4` `}; ` `        ``System.out.println (frequencyOfSmallest(N, arr)); ` `    ``} ` `} ` ` `  `// This code is contributed by Tushil. `

## Python3

 `# Python 3 program to find the frequency of ` `# minimum element in the array ` ` `  ` `  `# Function to find the frequency of the ` `# smallest value in the array ` `def` `frequencyOfSmallest(n,arr): ` `    ``mn ``=` `arr[``0``] ` `    ``freq ``=` `1` ` `  `    ``for` `i ``in` `range``(``1``,n): ` `        ``# If current element is smaller ` `        ``# than minimum ` `        ``if` `(arr[i] < mn): ` `            ``mn ``=` `arr[i] ` `            ``freq ``=` `1` `       `  `        ``# If current element is equal ` `        ``# to smallest ` `        ``elif``(arr[i] ``=``=` `mn): ` `            ``freq ``+``=` `1` ` `  `    ``return` `freq ` ` `  `# Driver Code ` `if` `__name__ ``=``=` `'__main__'``: ` `    ``N ``=` `5` `    ``arr ``=` `[``3``, ``2``, ``3``, ``4``, ``4``] ` ` `  `    ``print``(frequencyOfSmallest(N, arr)) ` ` `  `# This code is contributed by ` `# Surendra_Gangwar `

## C#

 `// C# program to find the frequency of  ` `// minimum element in the array  ` `using` `System; ` ` `  `class` `GFG  ` `{  ` `         `  `    ``// Function to find the frequency of the  ` `    ``// smallest value in the array  ` `    ``static` `int` `frequencyOfSmallest(``int` `n, ``int` `[]arr)  ` `    ``{  ` `        ``int` `mn = arr[0], freq = 1;  ` `     `  `        ``for` `(``int` `i = 1; i < n; i++)  ` `        ``{  ` `     `  `            ``// If current element is smaller  ` `            ``// than minimum  ` `            ``if` `(arr[i] < mn)  ` `            ``{  ` `                ``mn = arr[i];  ` `                ``freq = 1;  ` `            ``}  ` `             `  `            ``// If current element is equal  ` `            ``// to smallest  ` `            ``else` `if` `(arr[i] == mn)  ` `                ``freq++;  ` `        ``}  ` `        ``return` `freq;  ` `    ``}  ` `     `  `    ``// Driver Code  ` `    ``public` `static` `void` `Main()  ` `    ``{  ` `        ``int` `N = 5;  ` `        ``int` `[]arr = { 3, 2, 3, 4, 4 };  ` `             `  `        ``Console.WriteLine(frequencyOfSmallest(N, arr));  ` `    ``}  ` `}  ` ` `  `// This code is contributed by Ryuga `

## PHP

 ` `

Output:

```1
```

Time Complexity: O(N)

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