- Data Structures
- Linked List
- Binary Tree
- Binary Search Tree
- Segment Tree
- Disjoint Set Union
- Fenwick Tree
- Red-Black Tree
- Advanced Data Structures
- Clone a Directed Acyclic Graph
- Print Nodes which are not part of any cycle in a Directed Graph
- Print completed tasks at end according to Dependencies
- Product of lengths of all cycles in an undirected graph
- Find all Critical Connections in the Graph
- Undirected graph splitting and its application for number pairs
- Detect Cycle in a directed graph using colors
- Find dependencies of each Vertex in a Directed Graph
- Check loop in array according to given constraints
- Maximum number of edges to be added to a tree so that it stays a Bipartite graph
- Move weighting scale alternate under given constraints
- Check whether the cost of going from any node to any other node via all possible paths is same
- Detect a negative cycle in a Graph | (Bellman Ford)
- Print Nodes after level K from given node in Graph in ascending order
- Applications, Advantages and Disadvantages of Depth First Search (DFS)
- Minimize the number of weakly connected nodes
- Check if each connected component has equal number of vertices and edges
- Find ancestors of each node in the given Graph
- Check if a graphs has a cycle of odd length
Magical Indices in an array
Given an array A of integers. Index i of A is said to be connected to index j if j = (i + A[i]) % n + 1 (Assume 1-based indexing). Start traversing array from index i and jump to its next connected index. If on traversing array in the described order, index i is again visited then index i is a magical index. Count the number of magical indexes in the array. Assume that array A consists of non-negative integers.
Examples :
Approach: The problem is of counting number of nodes in all the cycles present in the graph. Each index represents a single node of the graph. Each node has a single directed edge as described in the problem statement. This graph has a special property: On starting a traversal from any vertex, a cycle is always detected. This property will be helpful in reducing the time complexity of the solution.
Read this post on how to detect cycle in a directed graph: Detect Cycle in directed graph Let the traversal begins from node i. Node i will be called parent node of this traversal and this parent node will be assigned to all the nodes visited during traversal. While traversing the graph if we discover a node that is already visited and parent node of that visited node is same as parent node of the traversal then a new cycle is detected. To count number of nodes in this cycle, start another dfs from this node until this same node is not visited again. This procedure is repeated for every node i of the graph. In worst case every node will be traversed at most 3 times. Hence solution has linear time complexity.
The stepwise algorithm is:
Implementation:
Complexity Analysis:
- Time Complexity: O(n)
- Space Complexity: O(n)
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(solved): magical indicesgiven an array of integers and a number x. an index is valid ifitem y ....
Magical Indices
Given an array of integers and a number
- x. An index is valid ifitem y at an index is increased by x and
- x+y would be greater than the sum of all other items in the array.
Write a JS program to determine the number of valid indices.
- The first line of input contains an array
- The second line of input contains a number
- The output should be a number indicating the number of valid positions
Explanation
For example, an array A = [10, 20, 30] and a value x = 25.
We have values 10, 20, 30 at indices 0,1,2 respectively.
- Here index 0 is invalid because
- 10 + 25 = 35 is less than 20 + 30 = 50
- Here index 1 is valid because
- 20 + 25 = 45 is greater than 10 + 30 = 40
- Here index 2 is valid because
- 30 + 25 = 55 is greater than 10 + 20 = 30
So there are 2 valid indices.
Sample Input 1
[1, 2, 3, 5, 7]
Sample Output 1
Sample Input 2
[34, 32, 37, 38, 40]
Sample Output 2
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Posted on Sep 11, 2023
JavaScript Functions(Part 3): Your Magic Spells
In our last magical seminar, we delved deep into the intricate world of JavaScript functions, learning the spells and chants that shape our world. The spell book was opened, and secrets were revealed. But like every great wizard knows, the depth of magic is vast, and our journey has just begun.
Today, we venture further into this enchanted forest of functions, unearthing more potent spells and understanding the legacy of ancient code mages.
🪄 Closures: The Enchanted Lockets
In the magical world of JavaScript, a closure is like an enchanted locket, preserving memories (variables) from disappearing even after the spell (function) has been cast.
Imagine casting a spell to create a magical barrier. This barrier remembers the strength at which you cast it and can adjust itself accordingly in the future.
The inner function, even when invoked outside its containing function, still has access to barrierStrength .
🌌 Higher-Order Functions: Conjuring Magic with Magic
In our realm, some spells can manipulate other spells to create new enchantments. These are known as higher-order functions.
For instance, let's take the ancient spell map , which can transform every item in an array.
The map spell takes another spell (function) and applies it to each item, giving us a new potion (array).
🧙♂️ Recursive Functions: The Magic that Calls Upon Itself
Some spells are so mighty that they call upon themselves for added power. These are our recursive functions.
Imagine a mirror that reflects another mirror, which then reflects another, creating an infinite loop of reflections.
Use recursive spells with caution, young mage. For if not controlled, they can spiral out of hand!
🌠 Conclusion: The Ever-Expanding Grimoire
The world of JavaScript functions is as expansive as the universe of magic itself. With every page turned in our spell book, we uncover more wonders, more nuances, and greater power.
As we close this chapter of our grimoire, remember: The true magic isn't just in knowing the spells, but in understanding their essence and wielding them with wisdom.
Till our next magical meet, practice these spells, and always remember the first rule of magic - respect the craft!
Sorcerer’s Assignments: Test Your Magic
🔮 1. The Enchanted Forest of Closures:
Objective: Venture deep into the world of closures and craft a spell that creates magical creatures. Each creature remembers the number of times it has been summoned.
🌌 2. Mystic Transformations with Higher-Order Spells:
Objective: Use the ancient spell filter to find all the magical artifacts that are older than a thousand years from an array.
🧙♂️ 3. Mirrors of Recursion:
Objective: Craft a recursive spell that counts down from a number and at the end shouts "Blast off!"
Remember, young mage: Crafting spells is not just about getting them right, but understanding the essence and rhythm within them. Once you've attempted these tasks, share your incantations in the comments. Let's see who's ready for the next level in the world of magic!
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JS Tutorial
Js versions, js functions, js html dom, js browser bom, js web apis, js vs jquery, js graphics, js examples, js references, javascript assignment, javascript assignment operators.
Assignment operators assign values to JavaScript variables.
Shift Assignment Operators
Bitwise assignment operators, logical assignment operators, the = operator.
The Simple Assignment Operator assigns a value to a variable.
Simple Assignment Examples
The += operator.
The Addition Assignment Operator adds a value to a variable.
Addition Assignment Examples
The -= operator.
The Subtraction Assignment Operator subtracts a value from a variable.
Subtraction Assignment Example
The *= operator.
The Multiplication Assignment Operator multiplies a variable.
Multiplication Assignment Example
The **= operator.
The Exponentiation Assignment Operator raises a variable to the power of the operand.
Exponentiation Assignment Example
The /= operator.
The Division Assignment Operator divides a variable.
Division Assignment Example
The %= operator.
The Remainder Assignment Operator assigns a remainder to a variable.
Remainder Assignment Example
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The <<= Operator
The Left Shift Assignment Operator left shifts a variable.
Left Shift Assignment Example
The >>= operator.
The Right Shift Assignment Operator right shifts a variable (signed).
Right Shift Assignment Example
The >>>= operator.
The Unsigned Right Shift Assignment Operator right shifts a variable (unsigned).
Unsigned Right Shift Assignment Example
The &= operator.
The Bitwise AND Assignment Operator does a bitwise AND operation on two operands and assigns the result to the the variable.
Bitwise AND Assignment Example
The |= operator.
The Bitwise OR Assignment Operator does a bitwise OR operation on two operands and assigns the result to the variable.
Bitwise OR Assignment Example
The ^= operator.
The Bitwise XOR Assignment Operator does a bitwise XOR operation on two operands and assigns the result to the variable.
Bitwise XOR Assignment Example
The &&= operator.
The Logical AND assignment operator is used between two values.
If the first value is true, the second value is assigned.
Logical AND Assignment Example
The &&= operator is an ES2020 feature .
The ||= Operator
The Logical OR assignment operator is used between two values.
If the first value is false, the second value is assigned.
Logical OR Assignment Example
The ||= operator is an ES2020 feature .
The ??= Operator
The Nullish coalescing assignment operator is used between two values.
If the first value is undefined or null, the second value is assigned.
Nullish Coalescing Assignment Example
The ??= operator is an ES2020 feature .
Test Yourself With Exercises
Use the correct assignment operator that will result in x being 15 (same as x = x + y ).
Start the Exercise
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Updated on November 6th, 2023
Magic Squares in JavaScript
In ma thematics, a “ magic square ” is a matrix of numbers where each row, column, and diagonal add-up to the same number. That number is called the “ magic constant “. The integers used are only positive, and do not repeat . The constant sum is determined by the size of the square and is described by a formula:
Facts about the properties and classifications of these numeric formations have been discussed by scholars for millennia. Knowledge of this topic goes back thousands of years, and can be found referenced throughout the world.
History & Culture
Magic squares have a fascinating historical and cultural significance, often with mystical undertones. They are mentioned in the I Ching , Brhat Samhita , and other works concerned with the transcendental and occult. They can be seen used in art, divination, perfumery, recreational gaming, computer science, and more.
In the Brhat Samhita , the magic square is used as a symbolic representation of the planets. It makes use of magic squares in the creation of talismans for astrological purposes.
For the purposes of this blog post, we’ll view them through the lens of software engineering.
3×3 Magic Squares
There’s so much to cover on this topic. I’ll narrow it down to 3×3 lattices (magic squares can actually be any size), specifically in the context of the JavaScript programming language. A quad of numbers, like the one pictured above, can be described as a two-dimensional array:
Squares of this size always have a magic constant of 15 . And, the number 5 will be in the middle. There’s additional logic that explains which numerals can appear where and why. Those ideas are explored in the comments section of a HackerRank coding challenge titled “Forming a Magic Square”.
HackerRank Coding Challenge
This coding problem found on HackerRank asks programmers to figure out what it would take to convert a 3×3 matrix of integers into a magic square. The input array is almost valid, but requires a few replacements. For each change, we must track the difference between the numbers and return the total variance – referred to as the “cost”. The correct answer will be the lowest cost required to convert the input data into a magic square.
The difficulty of this assignment is considered “medium”. The first step is realizing that there are a finite number of valid magic square configurations. As it turns out, there are exactly eight 3×3 permutations:
Starting with any one of these, we can generate the other seven programmatically. The subsequent arrangements can be derived through rotation and reflection. Using JavaScript, I rotate an initial seed square three times to have the first four series. Then, I flip each one of those to get the final records.
To solve this exercise, we’ll take the input array and compare it to each of the valid magic squares. We keep track of the cost on each iteration, and finally return the minimum.
You’ll notice that the initial minimum cost is set to a very high number . As I loop through each of the valid magic squares, I check if the cost is lower than the current minimum and then replace the value.
With each comparison, subtraction is used to determine the cost to complete the transformation. That code loops through each digit of each row on both 2D arrays. The absolute value of the difference between each coordinate is tallied and returned.
The working code all stitched together looks like this:
This solution was not intuitive to me and took some research and experimentation. It was interesting to learn about the concept of magic squares (and other shapes) along the way.
About the author
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Anthony is a seasoned software engineer with a flair for design and a knack for problem-solving. Specializing in web development, his expertise extends beyond just coding. He crafts solutions tailored to the unique needs of small to medium-sized businesses.
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Magic Numbers
Maths and operators in js.
Made by Mick Fuzz and as a contribution to be remixed for Clubs by Mozilla .
Javascript is one of the key parts of the Web (together with HTML and CSS). Here we learn how to do some maths with Javascript and how to use operators that are key to using the language.
45 minutes to an hour
Preparation
First do the activity on your own to become familiar with it.
Then do a follow up bit of research on Javascript to help if students run in to trouble. Specifically good is this page on Chris Mills' course .
Introduction
Give a short presentation about maths and Javascript.
- Javascript has many uses on the web from games, to chat pages, shopping etc.
- Most of these uses involve using numbers and maths.
- A game which uses numbers and maths is Cookie Clicker . Have you tried it?
Javascript uses variables to rememeber and work with data. In the last session we were using variables to store the names of things. In this game Javascript variables are used to keep track of how many cookies we have created.
Each time we click the cookie the number value of the variable goes up by one, simples!
Activity One - Use the console to play with number variables
Split learners into groups of 2 or individuals if there enough computers explain that we will use the console to find out more about how numbers and maths are done in Javascript.
Ask individuals / groups to follow these instructions:
- Open Firefox (or other browser)
- Press F12 to bring up some tools
- Click on Console
- Press F12, find the Console and enter the following commands
- "hello " + "derek"
The simple way to do adding, subtracting, multipliction and division is to user the following Javascript maths Operators ?
- + Add Operator
- - Subtract Operator
- * Multiply Operator
- / Divide Operator
Discussion: Why does 2 + 3 give a different result to "2" + "3"
Wait what is happening? What are the answers to 6 and 8 different from what we got for 1?
The answers to 1,6,8 are different because we are adding different types of data.
- 2 is a datatype of number: Numbers are used for maths and calculations
- “2” is a datatype of String: Strings are used for text based data, names and addresses are common examples.
The easy way to tell the difference between a value of type number and String is by noticing if the quotation marks ("") are used.
Using the + operator has a different effect with strings and number variables. It adds together numbers with addition but strings get put next to each other like being stuck together end to end with glue. In coding this is called "concatenation".
Be careful!: If we use + with a string and a number, then both the string and number are treated as strings so the the result is a string.
Activity - Hacking Cookie Clicker
In your browser go to cookie clicker game website Press F12 - go to the console and Enter
- Game.cookies = 23570
What happens? The equal sign assigns the number value on the right to the variable on the left (Game.cookies). Because this variable is what is used by the cookie clicker game to keep a track of your score, the number used on the game goes up on your page. Amazeballs! You've hacked it!
There are other operators we can use too. What about if we wanted to add on 10 cookies to our total?
How about we want to take 100 cookies off of our total? Find out how to do this by entering the following instructions in the console window when you are playing cookie clicker.
- Game.cookies += 10
- Game.cookies -= 100
- Game.cookies *= 4
We can see that if we put a plus sign infront of our equals sign that it add on the number on the right to the current value of the variable on the left. We call this an addition assignment operator. The same idea works for subtracting, mulitplying etc.
To test out that you understand these new operators, use the console and try some examples like the one below.
Wow Factor Activity 4 - Javascript Takeover Demo
INSTALL "HEY FRENCH TOAST" EXAMPLE BOOKMARKLET
What have we learned?
There was a lot of things to learn in this session. A lot if it is quite quick to pick up but a discussion at the end to recap what we have learned is a great idea to check we are all on the path.
- We've learned about the different Data Types of Number, String and Boolean in Javascript and what we use them for.
- We've learned about how use Arithmetic Operators and Assignment Operators
- We've done an experiment to let Javascript take over our browser and pepper it with French Toast!
- And hopefully we've learned how to make a pointless game like Cookie Clicker even more pointless by cheating!
Brian P. Hogan
Technical content expert, developer, teacher, and musician
Creating a Magic 8 Ball Game with HTML, Canvas, and JavaScript
Published April 13, 2020
Reading time: 7 minutes.
The “Magic 8 Ball” is a toy shaped like the “8” ball in billiards, created in 1950. You ask a “yes” or “no” question, shake the ball, and look at the answer it provides, which you see through a window on one side of the ball.
In my book Exercises for Programmers , one of the exercises is to use arrays and random numbers to create your own Magic 8 Ball game:
Create a Magic 8 Ball game that prompts for a question and then displays either “Yes,” “No,” “Maybe,” or “Ask again later.”
One of the additional challenges in the exercise is to implement this as a GUI application. In this tutorial, you’ll do just that by using HTML, JavaScript, and the Canvas API . When you’re done, you’ll have a Magic 8 Ball game that shows you answers when you click the ball. The end result will look like this:
The Canvas API lets you create 2D raster (pixel) graphics using JavaScript. You define a canvas element on the page, grab a reference to the element in JavaScript, and then use various API methods to draw lines, rectangles, and arcs to create shapes.
You’ll draw the ball using the Canvas API, and then use an event handler to display random text when you click the ball. You can’t modify the canvas directly once you’ve drawn something, so each time you click, you’ll redraw the entire ball with new text.
Let’s get started.
Drawing the Ball
The ball will consist of three elements: a black circle for the ball itself, a blue triangle to represent the area where the text appears, and the text itself. You’ll draw the ball and the triangle first, and the
First create a new file called 8ball.html and add the following code to define a basic HTML5 skeleton with a <canvas> element in the <body> tag:
The canvas element has a height and width defined, and an ID attribute so you can grab it with JavaScript, where you’ll do all your drawing.
Next, add a <script> tag below the <canvas> element that grabs a reference to the canvas using getElementById , and a ctx variable that holds a reference to the 2D context of the canvas. This is what you’ll use to draw the ball.
Next, create a drawBall function to hold the logic to draw the ball on the canvas. The function accepts a string which contains the text that will appear on the ball. Add the following code to define the function and then invoke it so that the ball will eventually appear on the page:
Next, write the code to create the ball itself. Start by adding the following code which draws a black filled circle on the canvas:
This sets the fill color to black and then creates a circle using the arc function. The arc function takes the x and y coordinates for the center of the circle, followed by the radius, the starting angle, and the ending angle in radians. So in this case, you’re creating the circle at 150 over, 150 down, with a radius of 150, a starting angle of 0 (the top), and an ending angle of PI * 2. JavaScript has Math.PI available out of the box.
The fill function then fills in the circle with the color set with fillStyle . The words argument has a default value of an empty string so you can call drawBall with no arguments so the ball won’t display any words. This is how you’ll initialize the game.
Save the file and reload the file in your browser. You’ll see a black ball:
Now define the blue triangle which will contain the words. Set the color to blue , move the starting point to 150 pixels over and 50 pixels down. Then draw lines from the starting point to 50 across and 200 down, and then to 250 across and 200 down. Draw the third side by making the line end at the original point of 150 across and 50 down. Then fill the space:
The triangle appears inside the ball once you save the file and reload the page:
Now let’s write the game logic.
Choosing the Random Phrase
The Magic 8 Ball game logic boils down to having a list of possible phrases and choosing one at random, which you can accomplish with a very small amount of JavaScript code.
Below the const canvas line in your script block, add a constant called choices that holds the possible choices that will appear in your 8 ball. You can add more choices if you’d like.
Then create a getRandomAnswer function that selects a random value from the array using Math.Random :
This generates a random number and uses it as the array index. The Math.Random() function returns a random number between 0 and 1. The index you use to select an entry in the array needs to be between 0 and the last index of the array, so you can take the length of the choices array, multiply it by Math.random() , and then round the answer down with Math.floor() .
Now when you call getRandomAnswer() , you’ll get a random value from the choices array. Let’s hook this up to the interface.
Displaying the Result
When you click on the ball, you want the text to show up inside the triangle. To do this, you’ll need to add code to the drawBall function to display the text, and create an event listener that fetches the random answer and draws the ball.
First, add the code to display the text in the triangle. Inside the drawBall function, add the following code to display the text if the words argument contains any text:
This creates a centered text area placed at 150 across and 150 down, which is in the middle of your ball.
Now tie it all together by adding the event listener.
After the call to drawBall() , add this code which listens for click events and redraws the ball, passing in the value from the getRandomAnswer() function:
Your complete project should look like the following code:
When you save and reload the page and click the ball, you’ll see one of the phrases:
In this tutorial you created a basic implementation of a Magic 8 Ball game using the Canvas API. From here you can try the following additional exercises:
- Instead of a solid black color, use a radial gradient for the ball. Check out the CanvasGradient documentation for more.
- You can animate the canvas. Rework the code that displays the text so that it fades in and fades out. Remember that to animate the canvas, you need to redraw the canvas, so you’ll need to do some kind of animation loop.
- Try implementing this same application as a command-line tool in your favorite language, or as a mobile app.
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Answer to Question #310338 in HTML/JavaScript Web Application for vicky
Person Details
given an object person containing a person details, write a JS program to log the name, address and nicknames count.
- the input will be a single containig an object person
- the first line of output should contain the name and address of the person as shown in the sample output
- the second line of output should contain nicknames count as shown in sample output.
{ 'name':'Pranay', 'address':{'city':'Mumbai','state':'maharastra'}, 'nicknames':['nani','chanti']}
pranay is from mumbai,maharastra
pranay has 2 nicknames
"use strict";
process.stdin.resume();
process.stdin.setEncoding("utf-8");
let inputString = "";
function main() {
let person = JSON.parse(readLine().replace(/'/g, '"'));
/* Please do not modify anything above this line */
/* Write your code here and log the output */
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Magical Indices. Given an array of integers and a number. Write a JS program to determine the number of valid indices. Input. The first line of input contains an array; The second line of input contains a number; Output. The output should be a number indicating the number of valid positions; Explanation. For example, an array A = [10, 20, 30 ...
Magical indices = 3, 4. Approach: The problem is of counting number of nodes in all the cycles present in the graph. Each index represents a single node of the graph. Each node has a single directed edge as described in the problem statement. This graph has a special property: On starting a traversal from any vertex, a cycle is always detected.
That means that the first possible index to the left that can have the magic number in it is the index 1. Following this logic, we can skip all indices that are bigger than the middle number (if the middle number is smaller than its index) and skip all indices that are smaller than the middle number (if the middle number is bigger than its index).
I am currently doing this problem from the book cracking the coding interview: 9.3. A magic index in an array A [0...n-1] is defined to be an index such that A [i] = i. Given a sorted array of distinct integers, write a method to find a magic index, if one exists, in array A. if start is None: start = 0. if end is None:
Alaa starts counting the number of magical indices in the array a. An index x is said to be magical if it satisfying the following rules: 1 < x < n; a y ≤ a x, for each y (1 ≤ y < x). a x ≤ a z, for each z (x < z ≤ n). Can you help Alaa by counting the number of magical indices in the array a.
This article explains the detailed solution of the problem: Count the number of magical indices in an array along with its implementation in different programming languages. Without further ado, let's get started. Problem Statement. Suppose there is an integer array A. If j = (i + A[i])% n + 1, then index i of A is said to be connected to index ...
Javascript - Get indices of true values in a boolean array. Ask Question Asked 5 years, 9 months ago. Modified 2 years, 11 months ago. Viewed 12k times 6 Let's say I have an array with the following values - var arr = [true, true, false, false, false, true, false]; I'm looking for logic which will give me the following output - ...
I'm practicing binary search and I'm running into a wall when trying to implement it to find the "magic index" in an array. The magic index is A[i] == i.. I've found some implementations in Java using recursion, but I'm trying to avoid doing this recursively because recursion is expensive (and I want to see if binary search is appropriate here).. Here is my code:
Magical Indices. Given an array of integers and a number . x. An index is valid ifitem y at an index is increased by x and; x+y would be greater than the sum of all other items in the array. Write a JS program to determine the number of valid indices. Input. The first line of input contains an array; The second line of input contains a number ...
In our last magical seminar, we delved deep into the intricate world of JavaScript functions,... Tagged with javascript, webdev, programming, beginners.
With JavaScript, it is clear that you will never be bored, but you must understand why these cases occur to avoid future coding errors. My idea is to write more articles about these "special" cases, until then, I hope you have enjoyed this article, you can continue with more examples in Magical JavaScript behaviors II. References
In the mystical land of JavaScript, where variables and control structures have shaped many quests, there lies another magical tool in our sorcerer's toolkit: Functions.This magical tool is akin ...
Well organized and easy to understand Web building tutorials with lots of examples of how to use HTML, CSS, JavaScript, SQL, Python, PHP, Bootstrap, Java, XML and more. ... JavaScript Assignment Operators. Assignment operators assign values to JavaScript variables. Operator Example Same As = x = y: x = y += x += y: x = x + y-= x -= y: x = x - y ...
In ma thematics, a " magic square " is a matrix of numbers where each row, column, and diagonal add-up to the same number. That number is called the " magic constant ". The integers used are only positive, and do not repeat. The constant sum is determined by the size of the square and is described by a formula:
Split learners into groups of 2 or individuals if there enough computers explain that we will use the console to find out more about how numbers and maths are done in Javascript. Ask individuals / groups to follow these instructions: Open Firefox (or other browser) Press F12 to bring up some tools. Click on Console.
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This generates a random number and uses it as the array index. The Math.Random() function returns a random number between 0 and 1. The index you use to select an entry in the array needs to be between 0 and the last index of the array, so you can take the length of the choices array, multiply it by Math.random(), and then round the answer down with Math.floor().
Question #310338. Person Details. given an object person containing a person details, write a JS program to log the name, address and nicknames count. input1. the input will be a single containig an object person. output2. the first line of output should contain the name and address of the person as shown in the sample output. the second line ...