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Finding Minimum Element of Java Vector
• Last Updated : 28 Dec, 2020

Vector implements a dynamic array that means it can grow or shrink as required. Like an array, it contains components that can be accessed using an integer index. We know two ways for declaring array i.e. either with a fixed size of array or size enter as per the demand of the user according to which array is allocated in memory.

```int Array_name[Fixed_size] ;

int array_name[variable_size] ;```

In both ways, we land up wasting memory so, in order to properly utilize memory optimization, Vectors were introduced.

We need to find out the minimum element in the given java vector.

Examples:

```Input: [1,2,3,4,5]
Output: 1

Input: [88,23,76,90,56]
Output: 23```

Approach 1: Using a Predefined Function

• To find the minimum element of a given vector we use the java.util.Collections.min() method.
• This directly finds the minimum value in the vector.

## Java

 `// Java program to find``// minimum elemnent in java vector`` ` `import` `java.io.*;``import` `java.util.Collections;``import` `java.util.Vector;``public` `class` `GFG {`` ` `    ``public` `static` `void` `main(String args[])``    ``{`` ` `        ``Vector vec = ``new` `Vector();`` ` `        ``vec.add(``1``);``        ``vec.add(``2``);``        ``vec.add(``3``);``        ``vec.add(``4``);``        ``vec.add(``5``);`` ` `        ``System.out.println(``"Vector elements: "` `+ vec);``       ` `        ``System.out.println(``"The maximum element of the Vector is: "``            ``+ Collections.min(vec));``    ``}``}`
Output
```Vector elements: [1, 2, 3, 4, 5]
The maximum element of the Vector is: 1```

Worst Case Time Complexity: O(n) where n is the number of elements present in the vector.

Approach 2: Comparing each element present in Vector

• First, we will initialize a vector let’s say v, then we will store values in that vector.
• Next, we will take a variable, let us say minNumber and assign the minimum value possible.
• Traverse till the end of vector and compare each element of a vector with minNumber.
• If the element present in the vector is less than minNumber, then update minNumber to that value.
• Print minNumber.

## Java

 `// Java program to find minimum element``// present in Vector via comparison`` ` `import` `java.io.*;``// Importing Iterator Class``import` `java.util.Iterator;``// Importing Vector Class``import` `java.util.Vector;`` ` `class` `GFG {`` ` `    ``// Main Method``    ``public` `static` `void` `main(String[] args)``    ``{``        ``// initializing vector of Integer type``        ``Vector v = ``new` `Vector();`` ` `        ``// Adding eleemnts in vector``        ``v.add(``10``);``        ``v.add(``20``);``        ``v.add(``30``);``        ``v.add(``40``);``        ``v.add(``50``);`` ` `        ``// Assigning max value possible``        ``int` `minValue = Integer.MAX_VALUE;`` ` `        ``// Creating an iterator to traverse through vector``        ``// in the begining itr will point to index just``        ``// before first element``        ``Iterator itr = v.iterator();`` ` `        ``// See if there is any next element``        ``while` `(itr.hasNext())``        ``{``            ``// Moving iterator to next element``            ``int` `element = (Integer)itr.next();`` ` `            ``// Comparing if element is smaller than minValue``            ``if` `(element < minValue) ``            ``{``                ``// Update maxValue``                ``minValue = element;``            ``}``        ``}`` ` `        ``// Print minVaue``        ``System.out.println(``"The smallest element present in Vector is : "``            ``+ minValue);``    ``}``}`
Output
`The smallest element present in Vector is : 10`

Time Complexity: O(n) where n is the number of elements present in the vector.

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