1595762220

# Maximize median after doing K addition operation on the Array

Given an array arr[] of N elements and an integer **K, **the task is to perform at most K operation on the array. In the one operation increment any element by one of the array. Find maximize median after doing K such operation.

Example:

Input:_ arr[] = {1, 3, 4, 5}, K = 3_

_Output: _5

Explanation:_ Here we add two in the second element and one in the third element then we will get a maximum median. After k operation the array can become {1, 5, 5, 5}. So the maximum median we can make is ( 5 + 5 ) / 2 = 5, because here N is even._

_Input: _arr[]_ = _{1, 3, 6, 4, 2}, K = 10

_Output: _7

Approach:

1. Sort the array in increasing order.
2. Since the median is the middle element of the array doing the operation in the left half then it will be worthless because it will not increase the median.
3. Perform the operation in the second half and start performing the operations from the n/2th element to the end.
4. If N is even then start doing the operation from the n/2 element to the end.
5. Using Binary Search we will check for any number is possible as a median or not after doing K operation.
6. If the median is possible then we will check for the next number which is greater than the current median calculated. Otherwise, the last possible value of the median is the required result.

Below is the implementation of the above approach:

• C++

// C++ program for the above approach

#include <bits/stdc++.h>

**using** **namespace** std;

// Function to check operation can be

// perform or not

**bool** possible(``**int** arr[], **int** N,

**int** mid, **int** K)

{

**for** (``**int** i = N / 2 - (N + 1) % 2;

i < N; ++i) {

**if** (mid - arr[i] > 0) {

// Number of operation to

// perform s.t. mid is median

**return** **false**``;

}

}

// If mid is median of the array

**return** **true**``;

**else**

**return** **false**``;

}

// Function to find max median

// of the array

**int** findMaxMedian(``**int** arr[], **int** N,

**int** K)

{

// Lowest possible median

**int** low = 1;

**int** mx = 0;

**for** (``**int** i = 0; i < N; ++i) {

mx = max(mx, arr[i]);

}

// Highest possible median

**long** **long** **int** high = K + mx;

**while** (low <= high) {

**int** mid = (high + low) / 2;

// Checking for mid is possible

// for the median of array after

// doing at most k operation

**if** (possible(arr, N, mid, K)) {

low = mid + 1;

}

**else** {

high = mid - 1;

}

}

**if** (N % 2 == 0) {

**if** (low - 1 < arr[N / 2]) {

**return** (arr[N / 2] + low - 1) / 2;

}

}

// Return the max possible ans

**return** low - 1;

}

// Driver Code

**int** main()

{

// Given array

**int** arr[] = { 1, 3, 6 };

// Given number of operation

**int** K = 10;

// Size of array

**int** N = **sizeof**``(arr) / **sizeof**``(arr[0]);

// Sort the array

sort(arr, arr + N);

// Function call

cout << findMaxMedian(arr, N, K);

**return** 0;

}

Output:

9

Time Complexity: O(N*log(K + M)), where M is the maximum element of the given array.

**Auxiliary Space: **O(1)

Attention reader! Don’t stop learning now. Get hold of all the important DSA concepts with the DSA Self Paced Course at a student-friendly price and become industry ready.

#arrays #greedy #searching #sorting #binary search #median-finding

1666082925

## How to Create Arrays in Python

### In this tutorial, you'll know the basics of how to create arrays in Python using the array module. Learn how to use Python arrays. You'll see how to define them and the different methods commonly used for performing operations on them.

This tutorialvideo on 'Arrays in Python' will help you establish a strong hold on all the fundamentals in python programming language. Below are the topics covered in this video:
1:15 What is an array?
2:53 Is python list same as an array?
3:48  How to create arrays in python?
7:19 Accessing array elements
9:59 Basic array operations
- 10:33  Finding the length of an array
- 15:06  Removing elements
- 18:32  Array concatenation
- 20:59  Slicing
- 23:26  Looping

Python Array Tutorial – Define, Index, Methods

In this article, you'll learn how to use Python arrays. You'll see how to define them and the different methods commonly used for performing operations on them.

The artcile covers arrays that you create by importing the array module. We won't cover NumPy arrays here.

1. Introduction to Arrays
1. The differences between Lists and Arrays
2. When to use arrays
2. How to use arrays
1. Define arrays
2. Find the length of arrays
3. Array indexing
4. Search through arrays
5. Loop through arrays
6. Slice an array
3. Array methods for performing operations
1. Change an existing value
3. Remove a value
4. Conclusion

Let's get started!

## What are Python Arrays?

Arrays are a fundamental data structure, and an important part of most programming languages. In Python, they are containers which are able to store more than one item at the same time.

Specifically, they are an ordered collection of elements with every value being of the same data type. That is the most important thing to remember about Python arrays - the fact that they can only hold a sequence of multiple items that are of the same type.

### What's the Difference between Python Lists and Python Arrays?

Lists are one of the most common data structures in Python, and a core part of the language.

Lists and arrays behave similarly.

Just like arrays, lists are an ordered sequence of elements.

They are also mutable and not fixed in size, which means they can grow and shrink throughout the life of the program. Items can be added and removed, making them very flexible to work with.

However, lists and arrays are not the same thing.

Lists store items that are of various data types. This means that a list can contain integers, floating point numbers, strings, or any other Python data type, at the same time. That is not the case with arrays.

As mentioned in the section above, arrays store only items that are of the same single data type. There are arrays that contain only integers, or only floating point numbers, or only any other Python data type you want to use.

### When to Use Python Arrays

Lists are built into the Python programming language, whereas arrays aren't. Arrays are not a built-in data structure, and therefore need to be imported via the array module in order to be used.

Arrays of the array module are a thin wrapper over C arrays, and are useful when you want to work with homogeneous data.

They are also more compact and take up less memory and space which makes them more size efficient compared to lists.

If you want to perform mathematical calculations, then you should use NumPy arrays by importing the NumPy package. Besides that, you should just use Python arrays when you really need to, as lists work in a similar way and are more flexible to work with.

## How to Use Arrays in Python

In order to create Python arrays, you'll first have to import the array module which contains all the necassary functions.

There are three ways you can import the array module:

• By using import array at the top of the file. This includes the module array. You would then go on to create an array using array.array().
import array

#how you would create an array
array.array()
• Instead of having to type array.array() all the time, you could use import array as arr at the top of the file, instead of import array alone. You would then create an array by typing arr.array(). The arr acts as an alias name, with the array constructor then immediately following it.
import array as arr

#how you would create an array
arr.array()
• Lastly, you could also use from array import *, with * importing all the functionalities available. You would then create an array by writing the array() constructor alone.
from array import *

#how you would create an array
array()

### How to Define Arrays in Python

Once you've imported the array module, you can then go on to define a Python array.

The general syntax for creating an array looks like this:

variable_name = array(typecode,[elements])

Let's break it down:

• variable_name would be the name of the array.
• The typecode specifies what kind of elements would be stored in the array. Whether it would be an array of integers, an array of floats or an array of any other Python data type. Remember that all elements should be of the same data type.
• Inside square brackets you mention the elements that would be stored in the array, with each element being separated by a comma. You can also create an empty array by just writing variable_name = array(typecode) alone, without any elements.

Below is a typecode table, with the different typecodes that can be used with the different data types when defining Python arrays:

Tying everything together, here is an example of how you would define an array in Python:

import array as arr

numbers = arr.array('i',[10,20,30])

print(numbers)

#output

#array('i', [10, 20, 30])

Let's break it down:

• First we included the array module, in this case with import array as arr .
• Then, we created a numbers array.
• We used arr.array() because of import array as arr .
• Inside the array() constructor, we first included i, for signed integer. Signed integer means that the array can include positive and negative values. Unsigned integer, with H for example, would mean that no negative values are allowed.
• Lastly, we included the values to be stored in the array in square brackets.

Keep in mind that if you tried to include values that were not of i typecode, meaning they were not integer values, you would get an error:

import array as arr

numbers = arr.array('i',[10.0,20,30])

print(numbers)

#output

#Traceback (most recent call last):
# File "/Users/dionysialemonaki/python_articles/demo.py", line 14, in <module>
#   numbers = arr.array('i',[10.0,20,30])
#TypeError: 'float' object cannot be interpreted as an integer

In the example above, I tried to include a floating point number in the array. I got an error because this is meant to be an integer array only.

Another way to create an array is the following:

from array import *

#an array of floating point values
numbers = array('d',[10.0,20.0,30.0])

print(numbers)

#output

#array('d', [10.0, 20.0, 30.0])

The example above imported the array module via from array import * and created an array numbers of float data type. This means that it holds only floating point numbers, which is specified with the 'd' typecode.

### How to Find the Length of an Array in Python

To find out the exact number of elements contained in an array, use the built-in len() method.

It will return the integer number that is equal to the total number of elements in the array you specify.

import array as arr

numbers = arr.array('i',[10,20,30])

print(len(numbers))

#output
# 3

In the example above, the array contained three elements – 10, 20, 30 – so the length of numbers is 3.

### Array Indexing and How to Access Individual Items in an Array in Python

Each item in an array has a specific address. Individual items are accessed by referencing their index number.

Indexing in Python, and in all programming languages and computing in general, starts at 0. It is important to remember that counting starts at 0 and not at 1.

To access an element, you first write the name of the array followed by square brackets. Inside the square brackets you include the item's index number.

The general syntax would look something like this:

array_name[index_value_of_item]

Here is how you would access each individual element in an array:

import array as arr

numbers = arr.array('i',[10,20,30])

print(numbers[0]) # gets the 1st element
print(numbers[1]) # gets the 2nd element
print(numbers[2]) # gets the 3rd element

#output

#10
#20
#30

Remember that the index value of the last element of an array is always one less than the length of the array. Where n is the length of the array, n - 1 will be the index value of the last item.

Note that you can also access each individual element using negative indexing.

With negative indexing, the last element would have an index of -1, the second to last element would have an index of -2, and so on.

Here is how you would get each item in an array using that method:

import array as arr

numbers = arr.array('i',[10,20,30])

print(numbers[-1]) #gets last item
print(numbers[-2]) #gets second to last item
print(numbers[-3]) #gets first item

#output

#30
#20
#10

### How to Search Through an Array in Python

You can find out an element's index number by using the index() method.

You pass the value of the element being searched as the argument to the method, and the element's index number is returned.

import array as arr

numbers = arr.array('i',[10,20,30])

#search for the index of the value 10
print(numbers.index(10))

#output

#0

If there is more than one element with the same value, the index of the first instance of the value will be returned:

import array as arr

numbers = arr.array('i',[10,20,30,10,20,30])

#search for the index of the value 10
#will return the index number of the first instance of the value 10
print(numbers.index(10))

#output

#0

### How to Loop through an Array in Python

You've seen how to access each individual element in an array and print it out on its own.

You've also seen how to print the array, using the print() method. That method gives the following result:

import array as arr

numbers = arr.array('i',[10,20,30])

print(numbers)

#output

#array('i', [10, 20, 30])

What if you want to print each value one by one?

This is where a loop comes in handy. You can loop through the array and print out each value, one-by-one, with each loop iteration.

For this you can use a simple for loop:

import array as arr

numbers = arr.array('i',[10,20,30])

for number in numbers:
print(number)

#output
#10
#20
#30

You could also use the range() function, and pass the len() method as its parameter. This would give the same result as above:

import array as arr

values = arr.array('i',[10,20,30])

#prints each individual value in the array
for value in range(len(values)):
print(values[value])

#output

#10
#20
#30

### How to Slice an Array in Python

To access a specific range of values inside the array, use the slicing operator, which is a colon :.

When using the slicing operator and you only include one value, the counting starts from 0 by default. It gets the first item, and goes up to but not including the index number you specify.

import array as arr

#original array
numbers = arr.array('i',[10,20,30])

#get the values 10 and 20 only
print(numbers[:2])  #first to second position

#output

#array('i', [10, 20])

When you pass two numbers as arguments, you specify a range of numbers. In this case, the counting starts at the position of the first number in the range, and up to but not including the second one:

import array as arr

#original array
numbers = arr.array('i',[10,20,30])

#get the values 20 and 30 only
print(numbers[1:3]) #second to third position

#output

#rray('i', [20, 30])

## Methods For Performing Operations on Arrays in Python

Arrays are mutable, which means they are changeable. You can change the value of the different items, add new ones, or remove any you don't want in your program anymore.

Let's see some of the most commonly used methods which are used for performing operations on arrays.

### How to Change the Value of an Item in an Array

You can change the value of a specific element by speficying its position and assigning it a new value:

import array as arr

#original array
numbers = arr.array('i',[10,20,30])

#change the first element
#change it from having a value of 10 to having a value of 40
numbers[0] = 40

print(numbers)

#output

#array('i', [40, 20, 30])

### How to Add a New Value to an Array

To add one single value at the end of an array, use the append() method:

import array as arr

#original array
numbers = arr.array('i',[10,20,30])

#add the integer 40 to the end of numbers
numbers.append(40)

print(numbers)

#output

#array('i', [10, 20, 30, 40])

Be aware that the new item you add needs to be the same data type as the rest of the items in the array.

Look what happens when I try to add a float to an array of integers:

import array as arr

#original array
numbers = arr.array('i',[10,20,30])

#add the integer 40 to the end of numbers
numbers.append(40.0)

print(numbers)

#output

#Traceback (most recent call last):
#  File "/Users/dionysialemonaki/python_articles/demo.py", line 19, in <module>
#   numbers.append(40.0)
#TypeError: 'float' object cannot be interpreted as an integer

But what if you want to add more than one value to the end an array?

Use the extend() method, which takes an iterable (such as a list of items) as an argument. Again, make sure that the new items are all the same data type.

import array as arr

#original array
numbers = arr.array('i',[10,20,30])

#add the integers 40,50,60 to the end of numbers
#The numbers need to be enclosed in square brackets

numbers.extend([40,50,60])

print(numbers)

#output

#array('i', [10, 20, 30, 40, 50, 60])

And what if you don't want to add an item to the end of an array? Use the insert() method, to add an item at a specific position.

The insert() function takes two arguments: the index number of the position the new element will be inserted, and the value of the new element.

import array as arr

#original array
numbers = arr.array('i',[10,20,30])

#add the integer 40 in the first position
#remember indexing starts at 0

numbers.insert(0,40)

print(numbers)

#output

#array('i', [40, 10, 20, 30])

### How to Remove a Value from an Array

To remove an element from an array, use the remove() method and include the value as an argument to the method.

import array as arr

#original array
numbers = arr.array('i',[10,20,30])

numbers.remove(10)

print(numbers)

#output

#array('i', [20, 30])

With remove(), only the first instance of the value you pass as an argument will be removed.

See what happens when there are more than one identical values:

import array as arr

#original array
numbers = arr.array('i',[10,20,30,10,20])

numbers.remove(10)

print(numbers)

#output

#array('i', [20, 30, 10, 20])

Only the first occurence of 10 is removed.

You can also use the pop() method, and specify the position of the element to be removed:

import array as arr

#original array
numbers = arr.array('i',[10,20,30,10,20])

#remove the first instance of 10
numbers.pop(0)

print(numbers)

#output

#array('i', [20, 30, 10, 20])

## Conclusion

And there you have it - you now know the basics of how to create arrays in Python using the array module. Hopefully you found this guide helpful.

Thanks for reading and happy coding!

#python #programming

1595762220

## Maximize median after doing K addition operation on the Array

Given an array arr[] of N elements and an integer **K, **the task is to perform at most K operation on the array. In the one operation increment any element by one of the array. Find maximize median after doing K such operation.

Example:

Input:_ arr[] = {1, 3, 4, 5}, K = 3_

_Output: _5

Explanation:_ Here we add two in the second element and one in the third element then we will get a maximum median. After k operation the array can become {1, 5, 5, 5}. So the maximum median we can make is ( 5 + 5 ) / 2 = 5, because here N is even._

_Input: _arr[]_ = _{1, 3, 6, 4, 2}, K = 10

_Output: _7

Approach:

1. Sort the array in increasing order.
2. Since the median is the middle element of the array doing the operation in the left half then it will be worthless because it will not increase the median.
3. Perform the operation in the second half and start performing the operations from the n/2th element to the end.
4. If N is even then start doing the operation from the n/2 element to the end.
5. Using Binary Search we will check for any number is possible as a median or not after doing K operation.
6. If the median is possible then we will check for the next number which is greater than the current median calculated. Otherwise, the last possible value of the median is the required result.

Below is the implementation of the above approach:

• C++

// C++ program for the above approach

#include <bits/stdc++.h>

**using** **namespace** std;

// Function to check operation can be

// perform or not

**bool** possible(``**int** arr[], **int** N,

**int** mid, **int** K)

{

**for** (``**int** i = N / 2 - (N + 1) % 2;

i < N; ++i) {

**if** (mid - arr[i] > 0) {

// Number of operation to

// perform s.t. mid is median

**return** **false**``;

}

}

// If mid is median of the array

**return** **true**``;

**else**

**return** **false**``;

}

// Function to find max median

// of the array

**int** findMaxMedian(``**int** arr[], **int** N,

**int** K)

{

// Lowest possible median

**int** low = 1;

**int** mx = 0;

**for** (``**int** i = 0; i < N; ++i) {

mx = max(mx, arr[i]);

}

// Highest possible median

**long** **long** **int** high = K + mx;

**while** (low <= high) {

**int** mid = (high + low) / 2;

// Checking for mid is possible

// for the median of array after

// doing at most k operation

**if** (possible(arr, N, mid, K)) {

low = mid + 1;

}

**else** {

high = mid - 1;

}

}

**if** (N % 2 == 0) {

**if** (low - 1 < arr[N / 2]) {

**return** (arr[N / 2] + low - 1) / 2;

}

}

// Return the max possible ans

**return** low - 1;

}

// Driver Code

**int** main()

{

// Given array

**int** arr[] = { 1, 3, 6 };

// Given number of operation

**int** K = 10;

// Size of array

**int** N = **sizeof**``(arr) / **sizeof**``(arr[0]);

// Sort the array

sort(arr, arr + N);

// Function call

cout << findMaxMedian(arr, N, K);

**return** 0;

}

Output:

9

Time Complexity: O(N*log(K + M)), where M is the maximum element of the given array.

**Auxiliary Space: **O(1)

Attention reader! Don’t stop learning now. Get hold of all the important DSA concepts with the DSA Self Paced Course at a student-friendly price and become industry ready.

#arrays #greedy #searching #sorting #binary search #median-finding

1619565060

## Ternary operator in Python?

1. Ternary Operator in Python

What is a ternary operator: The ternary operator is a conditional expression that means this is a comparison operator and results come on a true or false condition and it is the shortest way to writing an if-else statement. It is a condition in a single line replacing the multiline if-else code.

syntax : condition ? value_if_true : value_if_false

condition: A boolean expression evaluates true or false

value_if_true: a value to be assigned if the expression is evaluated to true.

value_if_false: A value to be assigned if the expression is evaluated to false.

How to use ternary operator in python here are some examples of Python ternary operator if-else.

Brief description of examples we have to take two variables a and b. The value of a is 10 and b is 20. find the minimum number using a ternary operator with one line of code. ( **min = a if a < b else b ) **. if a less than b then print a otherwise print b and second examples are the same as first and the third example is check number is even or odd.

#python #python ternary operator #ternary operator #ternary operator in if-else #ternary operator in python #ternary operator with dict #ternary operator with lambda

1623911281

## How to Print an Array in Java

#### Introduction

Printing an array is a quick way to give us visibility on the values of the contents inside. Sometimes the array values are the desired output of the program.

In this article, we’ll take a look at how to print an array in Java using four different ways.

While the “best way” depends on what your program needs to do, we begin with the simplest method for printing and then show more verbose ways to do it.

#java #array #how to print an array in java #array in java #print an array in java #print

1617738420

## Unformatted input/output operations In C++

In this article, we will discuss the unformatted Input/Output operations In C++. Using objects cin and cout for the input and the output of data of various types is possible because of overloading of operator >> and << to recognize all the basic C++ types. The operator >> is overloaded in the istream class and operator << is overloaded in the ostream class.

The general format for reading data from the keyboard:

cin >> var1 >> var2 >> …. >> var_n;

• Here, var1var2, ……, varn are the variable names that are declared already.
• The input data must be separated by white space characters and the data type of user input must be similar to the data types of the variables which are declared in the program.
• The operator >> reads the data character by character and assigns it to the indicated location.
• Reading of variables terminates when white space occurs or character type occurs that does not match the destination type.