How to square the value and sum together in javascript - javascript

In Javascript, I have a scenario to implement the following:
Let's take a list of integer below, take each integer in that list and double the value, then square the doubled value, then as output, sum together all the squared values. E.g.:
doubleandSquareandSum[1] // 4
doubleandSquareandSum[1, 2] // 20
doubleandSquareandSum[1, 2, 3] // 56
doubleandSquareandSum[1, 2, 3, 4] // 120
JS Code tried:
function doubleandSquareandSum(arr) {
ret= [];
for (var i = 0, len = arr.length; i < len; i++) {
ret.push(arr[i] * arr[i]);
}
return ret;
}
I know Math.sqrt, but not sure how to implement it here.
I have tried something above, but didn't worked. Can someone help me out?

I would reduce, adding the square of each doubled item to the accumulator:
const doubleandSquareandSum = arr => arr.reduce((a, num) => a + ((2 * num) ** 2), 0);
console.log(doubleandSquareandSum([1])) // 4
console.log(doubleandSquareandSum([1, 2])) // 20
console.log(doubleandSquareandSum([1, 2, 3])) // 56
console.log(doubleandSquareandSum([1, 2, 3, 4])) // 120

Instead of pushing the value in array again, just calculate the new value and add it to sum variable.
doubleandSquareandSum([1]) // 4
doubleandSquareandSum([1, 2]) // 20
doubleandSquareandSum([1, 2, 3]) // 56
doubleandSquareandSum([1, 2, 3, 4]) // 120
function doubleandSquareandSum(arr) {
var sum = 0;
for (var i = 0, len = arr.length; i < len; i++) {
sum += 4 * arr[i] * arr[i];
}
console.log(sum);
return sum;
}

You could take a functional approach by taking single small functions to build intermediate results and the final result.
const
twice = v => 2 * v,
square = v => v * v,
pipe = fn => v => fn.reduce((x, f) => f(x), v),
twiceAndSquare = pipe([twice, square]),
add = (a, b) => a + b,
doubleandSquareandSum = array => array.map(twiceAndSquare).reduce(add);
console.log(doubleandSquareandSum([1])); // 4
console.log(doubleandSquareandSum([1, 2])); // 20
console.log(doubleandSquareandSum([1, 2, 3])); // 56
console.log(doubleandSquareandSum([1, 2, 3, 4])); // 120

Related

Sum of similar value in n X n dimensional array with n^2 complexity

Given an array [[1, 7, 3, 8],[3, 2, 9, 4],[4, 3, 2, 1]],
how can I find the sum of its repeating elements? (In this case, the sum would be 10.)
Repeated values are - 1 two times, 3 three times, 2 two times, and 4 two times
So, 1 + 3 + 2 + 4 = 10
Need to solve this problem in the minimum time
There are multiple ways to solve this but time complexity is a major issue.
I try this with the recursion function
How can I optimize more
`
var uniqueArray = []
var sumArray = []
var sum = 0
function sumOfUniqueValue (num){
for(let i in num){
if(Array.isArray(num[i])){
sumOfUniqueValue(num[i])
}
else{
// if the first time any value will be there then push in a unique array
if(!uniqueArray.includes(num[i])){
uniqueArray.push(num[i])
}
// if the value repeats then check else condition
else{
// we will check that it is already added in sum or not
// so for record we will push the added value in sumArray so that it will added in sum only single time in case of the value repeat more then 2 times
if(!sumArray.includes(num[i])){
sumArray.push(num[i])
sum+=Number(num[i])
}
}
}
}
}
sumOfUniqueValue([[1, 7, 3, 8],[1, 2, 9, 4],[4, 3, 2, 7]])
console.log("Sum =",sum)
`
That's a real problem, I am just curious to solve this problem so that I can implement it in my project.
If you guys please mention the time it will take to complete in ms or ns then that would be really helpful, also how the solution will perform on big data set.
Thanks
I would probably use a hash table instead of an array search with .includes(x) instead...
And it's also possible to use a classical for loop instead of recursive to reduce call stack.
function sumOfUniqueValue2 (matrix) {
const matrixes = [matrix]
let sum = 0
let hashTable = {}
for (let i = 0; i < matrixes.length; i++) {
let matrix = matrixes[i]
for (let j = 0; j < matrix.length; j++) {
let x = matrix[j]
if (Array.isArray(x)) {
matrixes.push(x)
} else {
if (hashTable[x]) continue;
if (hashTable[x] === undefined) {
hashTable[x] = false;
continue;
}
hashTable[x] = true;
sum += x;
}
}
}
return sum
}
const sum = sumOfUniqueValue2([[1, 7, 3, 8],[[[[[3, 2, 9, 4]]]]],[[4, 3, 2, 1]]]) // 10
console.log("Sum =", sum)
This is probably the fastest way...
But if i could choose a more cleaner solution that is easier to understand then i would have used flat + sort first, chances are that the built in javascript engine can optimize this routes instead of running in the javascript main thread.
function sumOfUniqueValue (matrix) {
const numbers = matrix.flat(Infinity).sort()
const len = numbers.length
let sum = 0
for (let i = 1; i < len; i++) {
if (numbers[i] === numbers[i - 1]) {
sum += numbers[i]
for (i++; i < len && numbers[i] === numbers[i - 1]; i++);
}
}
return sum
}
const sum = sumOfUniqueValue2([[1, 7, 3, 8],[[[[[3, 2, 9, 4]]]]],[[4, 3, 2, 1]]]) // 10
console.log("Sum =", sum)
You could use an objkect for keeping trak of seen values, like
seen[value] = undefined // value is not seen before
seen[value] = false // value is not counted/seen once
seen[value] = true // value is counted/seen more than once
For getting a value, you could take two nested loops and visit every value.
Finally return sum.
const
sumOfUniqueValue = (values, seen = {}) => {
let sum = 0;
for (const value of values) {
if (Array.isArray(value)) {
sum += sumOfUniqueValue(value, seen);
continue;
}
if (seen[value]) continue;
if (seen[value] === undefined) {
seen[value] = false;
continue;
}
seen[value] = true;
sum += value;
}
return sum;
},
sum = sumOfUniqueValue([[1, 7, 3, 8], [3, 2, 9, 4], [4, 3, 2, 1]]);
console.log(sum);
Alternatively take a filter and sum the values. (it could be more performat with omitting same calls.)
const
data = [[1, 7, 3, 8], [3, 2, 9, 4, 2], [4, 3, 2, 1]],
sum = data
.flat(Infinity)
.filter((v, i, a) => a.indexOf(v) !== a.lastIndexOf(v) && i === a.indexOf(v))
.reduce((a, b) => a + b, 0);
console.log(sum);
You can flatten the array, filter-out single-instance values, and sum the result:
const data = [
[ 1, 7, 3, 8 ],
[ 3, 2, 9, 4 ],
[ 4, 3, 2, 1 ]
];
const numbers = new Set( data.flat(Infinity).filter(
(value, index, arr) => arr.lastIndexOf(value) != index)
);
const sum = [ ...numbers ].reduce((a, b) => a + b, 0);
Another approach could be the check the first and last index of the number in a flattened array, deciding whether or not it ought to be added to the overall sum:
let sum = 0;
const numbers = data.flat(Infinity);
for ( let i = 0; i < numbers.length; i++ ) {
const first = numbers.indexOf( numbers[ i ] );
const last = numbers.lastIndexOf( numbers[ i ] );
if ( i == first && i != last ) {
sum = sum + numbers[ i ];
}
}
// Sum of numbers in set
console.log( sum );

How to convert an integer N to an array of Size N in Javascript? [duplicate]

I'm looking for any alternatives to the below for creating a JavaScript array containing 1 through to N where N is only known at runtime.
var foo = [];
for (var i = 1; i <= N; i++) {
foo.push(i);
}
To me it feels like there should be a way of doing this without the loop.
In ES6 using Array from() and keys() methods.
Array.from(Array(10).keys())
//=> [0, 1, 2, 3, 4, 5, 6, 7, 8, 9]
Shorter version using spread operator.
[...Array(10).keys()]
//=> [0, 1, 2, 3, 4, 5, 6, 7, 8, 9]
Start from 1 by passing map function to Array from(), with an object with a length property:
Array.from({length: 10}, (_, i) => i + 1)
//=> [1, 2, 3, 4, 5, 6, 7, 8, 9, 10]
You can do so:
var N = 10;
Array.apply(null, {length: N}).map(Number.call, Number)
result: [0, 1, 2, 3, 4, 5, 6, 7, 8, 9]
or with random values:
Array.apply(null, {length: N}).map(Function.call, Math.random)
result: [0.7082694901619107, 0.9572225909214467, 0.8586748542729765,
0.8653848143294454, 0.008339877473190427, 0.9911756622605026, 0.8133423360995948, 0.8377588465809822, 0.5577575915958732, 0.16363654541783035]
Explanation
First, note that Number.call(undefined, N) is equivalent to Number(N), which just returns N. We'll use that fact later.
Array.apply(null, [undefined, undefined, undefined]) is equivalent to Array(undefined, undefined, undefined), which produces a three-element array and assigns undefined to each element.
How can you generalize that to N elements? Consider how Array() works, which goes something like this:
function Array() {
if ( arguments.length == 1 &&
'number' === typeof arguments[0] &&
arguments[0] >= 0 && arguments &&
arguments[0] < 1 << 32 ) {
return [ … ]; // array of length arguments[0], generated by native code
}
var a = [];
for (var i = 0; i < arguments.length; i++) {
a.push(arguments[i]);
}
return a;
}
Since ECMAScript 5, Function.prototype.apply(thisArg, argsArray) also accepts a duck-typed array-like object as its second parameter. If we invoke Array.apply(null, { length: N }), then it will execute
function Array() {
var a = [];
for (var i = 0; i < /* arguments.length = */ N; i++) {
a.push(/* arguments[i] = */ undefined);
}
return a;
}
Now we have an N-element array, with each element set to undefined. When we call .map(callback, thisArg) on it, each element will be set to the result of callback.call(thisArg, element, index, array). Therefore, [undefined, undefined, …, undefined].map(Number.call, Number) would map each element to (Number.call).call(Number, undefined, index, array), which is the same as Number.call(undefined, index, array), which, as we observed earlier, evaluates to index. That completes the array whose elements are the same as their index.
Why go through the trouble of Array.apply(null, {length: N}) instead of just Array(N)? After all, both expressions would result an an N-element array of undefined elements. The difference is that in the former expression, each element is explicitly set to undefined, whereas in the latter, each element was never set. According to the documentation of .map():
callback is invoked only for indexes of the array which have assigned values; it is not invoked for indexes which have been deleted or which have never been assigned values.
Therefore, Array(N) is insufficient; Array(N).map(Number.call, Number) would result in an uninitialized array of length N.
Compatibility
Since this technique relies on behaviour of Function.prototype.apply() specified in ECMAScript 5, it will not work in pre-ECMAScript 5 browsers such as Chrome 14 and Internet Explorer 9.
Multiple ways using ES6
Using spread operator (...) and keys method
[ ...Array(N).keys() ].map( i => i+1);
Fill/Map
Array(N).fill().map((_, i) => i+1);
Array.from
Array.from(Array(N), (_, i) => i+1)
Array.from and { length: N } hack
Array.from({ length: N }, (_, i) => i+1)
Note about generalised form
All the forms above can produce arrays initialised to pretty much any desired values by changing i+1 to expression required (e.g. i*2, -i, 1+i*2, i%2 and etc). If expression can be expressed by some function f then the first form becomes simply
[ ...Array(N).keys() ].map(f)
Examples:
Array.from({length: 5}, (v, k) => k+1);
// [1,2,3,4,5]
Since the array is initialized with undefined on each position, the value of v will be undefined
Example showcasing all the forms
let demo= (N) => {
console.log(
[ ...Array(N).keys() ].map(( i) => i+1),
Array(N).fill().map((_, i) => i+1) ,
Array.from(Array(N), (_, i) => i+1),
Array.from({ length: N }, (_, i) => i+1)
)
}
demo(5)
More generic example with custom initialiser function f i.e.
[ ...Array(N).keys() ].map((i) => f(i))
or even simpler
[ ...Array(N).keys() ].map(f)
let demo= (N,f) => {
console.log(
[ ...Array(N).keys() ].map(f),
Array(N).fill().map((_, i) => f(i)) ,
Array.from(Array(N), (_, i) => f(i)),
Array.from({ length: N }, (_, i) => f(i))
)
}
demo(5, i=>2*i+1)
If I get what you are after, you want an array of numbers 1..n that you can later loop through.
If this is all you need, can you do this instead?
var foo = new Array(45); // create an empty array with length 45
then when you want to use it... (un-optimized, just for example)
for(var i = 0; i < foo.length; i++){
document.write('Item: ' + (i + 1) + ' of ' + foo.length + '<br/>');
}
e.g. if you don't need to store anything in the array, you just need a container of the right length that you can iterate over... this might be easier.
See it in action here: http://jsfiddle.net/3kcvm/
Arrays innately manage their lengths. As they are traversed, their indexes can be held in memory and referenced at that point. If a random index needs to be known, the indexOf method can be used.
This said, for your needs you may just want to declare an array of a certain size:
var foo = new Array(N); // where N is a positive integer
/* this will create an array of size, N, primarily for memory allocation,
but does not create any defined values
foo.length // size of Array
foo[ Math.floor(foo.length/2) ] = 'value' // places value in the middle of the array
*/
ES6
Spread
Making use of the spread operator (...) and keys method, enables you to create a temporary array of size N to produce the indexes, and then a new array that can be assigned to your variable:
var foo = [ ...Array(N).keys() ];
Fill/Map
You can first create the size of the array you need, fill it with undefined and then create a new array using map, which sets each element to the index.
var foo = Array(N).fill().map((v,i)=>i);
Array.from
This should be initializing to length of size N and populating the array in one pass.
Array.from({ length: N }, (v, i) => i)
In lieu of the comments and confusion, if you really wanted to capture the values from 1..N in the above examples, there are a couple options:
if the index is available, you can simply increment it by one (e.g., ++i).
in cases where index is not used -- and possibly a more efficient way -- is to create your array but make N represent N+1, then shift off the front.
So if you desire 100 numbers:
let arr; (arr=[ ...Array(101).keys() ]).shift()
In ES6 you can do:
Array(N).fill().map((e,i)=>i+1);
http://jsbin.com/molabiluwa/edit?js,console
Edit:
Changed Array(45) to Array(N) since you've updated the question.
console.log(
Array(45).fill(0).map((e,i)=>i+1)
);
Use the very popular Underscore _.range method
// _.range([start], stop, [step])
_.range(10); // => [0, 1, 2, 3, 4, 5, 6, 7, 8, 9]
_.range(1, 11); // => [1, 2, 3, 4, 5, 6, 7, 8, 9, 10]
_.range(0, 30, 5); // => [0, 5, 10, 15, 20, 25]
_.range(0, -10, -1); // => [0, -1, -2, -3, -4, -5, -6, -7, -8, -9]
_.range(0); // => []
function range(start, end) {
var foo = [];
for (var i = start; i <= end; i++) {
foo.push(i);
}
return foo;
}
Then called by
var foo = range(1, 5);
There is no built-in way to do this in Javascript, but it's a perfectly valid utility function to create if you need to do it more than once.
Edit: In my opinion, the following is a better range function. Maybe just because I'm biased by LINQ, but I think it's more useful in more cases. Your mileage may vary.
function range(start, count) {
if(arguments.length == 1) {
count = start;
start = 0;
}
var foo = [];
for (var i = 0; i < count; i++) {
foo.push(start + i);
}
return foo;
}
the fastest way to fill an Array in v8 is:
[...Array(5)].map((_,i) => i);
result will be: [0, 1, 2, 3, 4]
Performance
Today 2020.12.11 I performed tests on macOS HighSierra 10.13.6 on Chrome v87, Safari v13.1.2 and Firefox v83 for chosen solutions.
Results
For all browsers
solution O (based on while) is the fastest (except Firefox for big N - but it's fast there)
solution T is fastest on Firefox for big N
solutions M,P is fast for small N
solution V (lodash) is fast for big N
solution W,X are slow for small N
solution F is slow
Details
I perform 2 tests cases:
for small N = 10 - you can run it HERE
for big N = 1000000 - you can run it HERE
Below snippet presents all tested solutions A
B
C
D
E
F
G
H
I
J
K
L
M
N
O
P
Q
R
S
T
U
V
W
X
function A(N) {
return Array.from({length: N}, (_, i) => i + 1)
}
function B(N) {
return Array(N).fill().map((_, i) => i+1);
}
function C(N) {
return Array(N).join().split(',').map((_, i) => i+1 );
}
function D(N) {
return Array.from(Array(N), (_, i) => i+1)
}
function E(N) {
return Array.from({ length: N }, (_, i) => i+1)
}
function F(N) {
return Array.from({length:N}, Number.call, i => i + 1)
}
function G(N) {
return (Array(N)+'').split(',').map((_,i)=> i+1)
}
function H(N) {
return [ ...Array(N).keys() ].map( i => i+1);
}
function I(N) {
return [...Array(N).keys()].map(x => x + 1);
}
function J(N) {
return [...Array(N+1).keys()].slice(1)
}
function K(N) {
return [...Array(N).keys()].map(x => ++x);
}
function L(N) {
let arr; (arr=[ ...Array(N+1).keys() ]).shift();
return arr;
}
function M(N) {
var arr = [];
var i = 0;
while (N--) arr.push(++i);
return arr;
}
function N(N) {
var a=[],b=N;while(b--)a[b]=b+1;
return a;
}
function O(N) {
var a=Array(N),b=0;
while(b<N) a[b++]=b;
return a;
}
function P(N) {
var foo = [];
for (var i = 1; i <= N; i++) foo.push(i);
return foo;
}
function Q(N) {
for(var a=[],b=N;b--;a[b]=b+1);
return a;
}
function R(N) {
for(var i,a=[i=0];i<N;a[i++]=i);
return a;
}
function S(N) {
let foo,x;
for(foo=[x=N]; x; foo[x-1]=x--);
return foo;
}
function T(N) {
return new Uint8Array(N).map((item, i) => i + 1);
}
function U(N) {
return '_'.repeat(5).split('').map((_, i) => i + 1);
}
function V(N) {
return _.range(1, N+1);
}
function W(N) {
return [...(function*(){let i=0;while(i<N)yield ++i})()]
}
function X(N) {
function sequence(max, step = 1) {
return {
[Symbol.iterator]: function* () {
for (let i = 1; i <= max; i += step) yield i
}
}
}
return [...sequence(N)];
}
[A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X].forEach(f=> {
console.log(`${f.name} ${f(5)}`);
})
<script src="https://cdnjs.cloudflare.com/ajax/libs/lodash.js/4.17.20/lodash.min.js" integrity="sha512-90vH1Z83AJY9DmlWa8WkjkV79yfS2n2Oxhsi2dZbIv0nC4E6m5AbH8Nh156kkM7JePmqD6tcZsfad1ueoaovww==" crossorigin="anonymous"> </script>
This snippet only presents functions used in performance tests - it does not perform tests itself!
And here are example results for chrome
This question has a lot of complicated answers, but a simple one-liner:
[...Array(255).keys()].map(x => x + 1)
Also, although the above is short (and neat) to write, I think the following is a bit faster
(for a max length of:
127, Int8,
255, Uint8,
32,767, Int16,
65,535, Uint16,
2,147,483,647, Int32,
4,294,967,295, Uint32.
(based on the max integer values), also here's more on Typed Arrays):
(new Uint8Array(255)).map(($,i) => i + 1);
Although this solution is also not so ideal, because it creates two arrays, and uses the extra variable declaration "$" (not sure any way to get around that using this method). I think the following solution is the absolute fastest possible way to do this:
for(var i = 0, arr = new Uint8Array(255); i < arr.length; i++) arr[i] = i + 1;
Anytime after this statement is made, you can simple use the variable "arr" in the current scope;
If you want to make a simple function out of it (with some basic verification):
function range(min, max) {
min = min && min.constructor == Number ? min : 0;
!(max && max.constructor == Number && max > min) && // boolean statements can also be used with void return types, like a one-line if statement.
((max = min) & (min = 0)); //if there is a "max" argument specified, then first check if its a number and if its graeter than min: if so, stay the same; if not, then consider it as if there is no "max" in the first place, and "max" becomes "min" (and min becomes 0 by default)
for(var i = 0, arr = new (
max < 128 ? Int8Array :
max < 256 ? Uint8Array :
max < 32768 ? Int16Array :
max < 65536 ? Uint16Array :
max < 2147483648 ? Int32Array :
max < 4294967296 ? Uint32Array :
Array
)(max - min); i < arr.length; i++) arr[i] = i + min;
return arr;
}
//and you can loop through it easily using array methods if you want
range(1,11).forEach(x => console.log(x));
//or if you're used to pythons `for...in` you can do a similar thing with `for...of` if you want the individual values:
for(i of range(2020,2025)) console.log(i);
//or if you really want to use `for..in`, you can, but then you will only be accessing the keys:
for(k in range(25,30)) console.log(k);
console.log(
range(1,128).constructor.name,
range(200).constructor.name,
range(400,900).constructor.name,
range(33333).constructor.name,
range(823, 100000).constructor.name,
range(10,4) // when the "min" argument is greater than the "max", then it just considers it as if there is no "max", and the new max becomes "min", and "min" becomes 0, as if "max" was never even written
);
so, with the above function, the above super-slow "simple one-liner" becomes the super-fast, even-shorter:
range(1,14000);
Using ES2015/ES6 spread operator
[...Array(10)].map((_, i) => i + 1)
console.log([...Array(10)].map((_, i) => i + 1))
You can use this:
new Array(/*any number which you want*/)
.join().split(',')
.map(function(item, index){ return ++index;})
for example
new Array(10)
.join().split(',')
.map(function(item, index){ return ++index;})
will create following array:
[1, 2, 3, 4, 5, 6, 7, 8, 9, 10]
If you happen to be using d3.js in your app as I am, D3 provides a helper function that does this for you.
So to get an array from 0 to 4, it's as easy as:
d3.range(5)
[0, 1, 2, 3, 4]
and to get an array from 1 to 5, as you were requesting:
d3.range(1, 5+1)
[1, 2, 3, 4, 5]
Check out this tutorial for more info.
This is probably the fastest way to generate an array of numbers
Shortest
var a=[],b=N;while(b--)a[b]=b+1;
Inline
var arr=(function(a,b){while(a--)b[a]=a;return b})(10,[]);
//arr=[0,1,2,3,4,5,6,7,8,9]
If you want to start from 1
var arr=(function(a,b){while(a--)b[a]=a+1;return b})(10,[]);
//arr=[1,2,3,4,5,6,7,8,9,10]
Want a function?
function range(a,b,c){c=[];while(a--)c[a]=a+b;return c}; //length,start,placeholder
var arr=range(10,5);
//arr=[5,6,7,8,9,10,11,12,13,14]
WHY?
while is the fastest loop
Direct setting is faster than push
[] is faster than new Array(10)
it's short... look the first code. then look at all other functions in here.
If you like can't live without for
for(var a=[],b=7;b>0;a[--b]=b+1); //a=[1,2,3,4,5,6,7]
or
for(var a=[],b=7;b--;a[b]=b+1); //a=[1,2,3,4,5,6,7]
If you are using lodash, you can use _.range:
_.range([start=0], end, [step=1])
Creates an array of numbers
(positive and/or negative) progressing from start up to, but not
including, end. A step of -1 is used if a negative start is specified
without an end or step. If end is not specified, it's set to start
with start then set to 0.
Examples:
_.range(4);
// ➜ [0, 1, 2, 3]
_.range(-4);
// ➜ [0, -1, -2, -3]
_.range(1, 5);
// ➜ [1, 2, 3, 4]
_.range(0, 20, 5);
// ➜ [0, 5, 10, 15]
_.range(0, -4, -1);
// ➜ [0, -1, -2, -3]
_.range(1, 4, 0);
// ➜ [1, 1, 1]
_.range(0);
// ➜ []
the new way to filling Array is:
const array = [...Array(5).keys()]
console.log(array)
result will be: [0, 1, 2, 3, 4]
with ES6 you can do:
// `n` is the size you want to initialize your array
// `null` is what the array will be filled with (can be any other value)
Array(n).fill(null)
Very simple and easy to generate exactly 1 - N
const [, ...result] = Array(11).keys();
console.log('Result:', result);
Final Summary report .. Drrruummm Rolll -
This is the shortest code to generate an Array of size N (here 10) without using ES6. Cocco's version above is close but not the shortest.
(function(n){for(a=[];n--;a[n]=n+1);return a})(10)
But the undisputed winner of this Code golf(competition to solve a particular problem in the fewest bytes of source code) is Niko Ruotsalainen . Using Array Constructor and ES6 spread operator . (Most of the ES6 syntax is valid typeScript, but following is not. So be judicious while using it)
[...Array(10).keys()]
https://stackoverflow.com/a/49577331/8784402
With Delta
For javascript
smallest and one-liner
[...Array(N)].map((v, i) => from + i * step);
Examples and other alternatives
Array.from(Array(10).keys()).map(i => 4 + i * 2);
//=> [4, 6, 8, 10, 12, 14, 16, 18, 20, 22]
[...Array(10).keys()].map(i => 4 + i * -2);
//=> [4, 2, 0, -2, -4, -6, -8, -10, -12, -14]
Array(10).fill(0).map((v, i) => 4 + i * 2);
//=> [4, 6, 8, 10, 12, 14, 16, 18, 20, 22]
Array(10).fill().map((v, i) => 4 + i * -2);
//=> [4, 2, 0, -2, -4, -6, -8, -10, -12, -14]
[...Array(10)].map((v, i) => 4 + i * 2);
//=> [4, 6, 8, 10, 12, 14, 16, 18, 20, 22]
Range Function
const range = (from, to, step) =>
[...Array(Math.floor((to - from) / step) + 1)].map((_, i) => from + i * step);
range(0, 9, 2);
//=> [0, 2, 4, 6, 8]
// can also assign range function as static method in Array class (but not recommended )
Array.range = (from, to, step) =>
[...Array(Math.floor((to - from) / step) + 1)].map((_, i) => from + i * step);
Array.range(2, 10, 2);
//=> [2, 4, 6, 8, 10]
Array.range(0, 10, 1);
//=> [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10]
Array.range(2, 10, -1);
//=> []
Array.range(3, 0, -1);
//=> [3, 2, 1, 0]
As Iterators
class Range {
constructor(total = 0, step = 1, from = 0) {
this[Symbol.iterator] = function* () {
for (let i = 0; i < total; yield from + i++ * step) {}
};
}
}
[...new Range(5)]; // Five Elements
//=> [0, 1, 2, 3, 4]
[...new Range(5, 2)]; // Five Elements With Step 2
//=> [0, 2, 4, 6, 8]
[...new Range(5, -2, 10)]; // Five Elements With Step -2 From 10
//=>[10, 8, 6, 4, 2]
[...new Range(5, -2, -10)]; // Five Elements With Step -2 From -10
//=> [-10, -12, -14, -16, -18]
// Also works with for..of loop
for (i of new Range(5, -2, 10)) console.log(i);
// 10 8 6 4 2
As Generators Only
const Range = function* (total = 0, step = 1, from = 0) {
for (let i = 0; i < total; yield from + i++ * step) {}
};
Array.from(Range(5, -2, -10));
//=> [-10, -12, -14, -16, -18]
[...Range(5, -2, -10)]; // Five Elements With Step -2 From -10
//=> [-10, -12, -14, -16, -18]
// Also works with for..of loop
for (i of Range(5, -2, 10)) console.log(i);
// 10 8 6 4 2
// Lazy loaded way
const number0toInf = Range(Infinity);
number0toInf.next().value;
//=> 0
number0toInf.next().value;
//=> 1
// ...
From-To with steps/delta
using iterators
class Range2 {
constructor(to = 0, step = 1, from = 0) {
this[Symbol.iterator] = function* () {
let i = 0,
length = Math.floor((to - from) / step) + 1;
while (i < length) yield from + i++ * step;
};
}
}
[...new Range2(5)]; // First 5 Whole Numbers
//=> [0, 1, 2, 3, 4, 5]
[...new Range2(5, 2)]; // From 0 to 5 with step 2
//=> [0, 2, 4]
[...new Range2(5, -2, 10)]; // From 10 to 5 with step -2
//=> [10, 8, 6]
using Generators
const Range2 = function* (to = 0, step = 1, from = 0) {
let i = 0,
length = Math.floor((to - from) / step) + 1;
while (i < length) yield from + i++ * step;
};
[...Range2(5, -2, 10)]; // From 10 to 5 with step -2
//=> [10, 8, 6]
let even4to10 = Range2(10, 2, 4);
even4to10.next().value;
//=> 4
even4to10.next().value;
//=> 6
even4to10.next().value;
//=> 8
even4to10.next().value;
//=> 10
even4to10.next().value;
//=> undefined
For Typescript
class _Array<T> extends Array<T> {
static range(from: number, to: number, step: number): number[] {
return Array.from(Array(Math.floor((to - from) / step) + 1)).map(
(v, k) => from + k * step
);
}
}
_Array.range(0, 9, 1);
Solution for empty array and with just number in array
const arrayOne = new Array(10);
console.log(arrayOne);
const arrayTwo = [...Array(10).keys()];
console.log(arrayTwo);
var arrayThree = Array.from(Array(10).keys());
console.log(arrayThree);
const arrayStartWithOne = Array.from(Array(10).keys(), item => item + 1);
console.log(arrayStartWithOne)
✅ Simply, this worked for me:
[...Array(5)].map(...)
There is another way in ES6, using Array.from which takes 2 arguments, the first is an arrayLike (in this case an object with length property), and the second is a mapping function (in this case we map the item to its index)
Array.from({length:10}, (v,i) => i)
this is shorter and can be used for other sequences like generating even numbers
Array.from({length:10}, (v,i) => i*2)
Also this has better performance than most other ways because it only loops once through the array.
Check the snippit for some comparisons
// open the dev console to see results
count = 100000
console.time("from object")
for (let i = 0; i<count; i++) {
range = Array.from({length:10}, (v,i) => i )
}
console.timeEnd("from object")
console.time("from keys")
for (let i =0; i<count; i++) {
range = Array.from(Array(10).keys())
}
console.timeEnd("from keys")
console.time("apply")
for (let i = 0; i<count; i++) {
range = Array.apply(null, { length: 10 }).map(function(element, index) { return index; })
}
console.timeEnd("apply")
Fast
This solution is probably fastest it is inspired by lodash _.range function (but my is simpler and faster)
let N=10, i=0, a=Array(N);
while(i<N) a[i++]=i;
console.log(a);
Performance advantages over current (2020.12.11) existing answers based on while/for
memory is allocated once at the beginning by a=Array(N)
increasing index i++ is used - which looks is about 30% faster than decreasing index i-- (probably because CPU cache memory faster in forward direction)
Speed tests with more than 20 other solutions was conducted in this answer
Using new Array methods and => function syntax from ES6 standard (only Firefox at the time of writing).
By filling holes with undefined:
Array(N).fill().map((_, i) => i + 1);
Array.from turns "holes" into undefined so Array.map works as expected:
Array.from(Array(5)).map((_, i) => i + 1)
In ES6:
Array.from({length: 1000}, (_, i) => i).slice(1);
or better yet (without the extra variable _ and without the extra slice call):
Array.from({length:1000}, Number.call, i => i + 1)
Or for slightly faster results, you can use Uint8Array, if your list is shorter than 256 results (or you can use the other Uint lists depending on how short the list is, like Uint16 for a max number of 65535, or Uint32 for a max of 4294967295 etc. Officially, these typed arrays were only added in ES6 though). For example:
Uint8Array.from({length:10}, Number.call, i => i + 1)
ES5:
Array.apply(0, {length: 1000}).map(function(){return arguments[1]+1});
Alternatively, in ES5, for the map function (like second parameter to the Array.from function in ES6 above), you can use Number.call
Array.apply(0,{length:1000}).map(Number.call,Number).slice(1)
Or, if you're against the .slice here also, you can do the ES5 equivalent of the above (from ES6), like:
Array.apply(0,{length:1000}).map(Number.call, Function("i","return i+1"))
Array(...Array(9)).map((_, i) => i);
console.log(Array(...Array(9)).map((_, i) => i))
for(var i,a=[i=0];i<10;a[i++]=i);
a = [1, 2, 3, 4, 5, 6, 7, 8, 9, 10]
It seems the only flavor not currently in this rather complete list of answers is one featuring a generator; so to remedy that:
const gen = N => [...(function*(){let i=0;while(i<N)yield i++})()]
which can be used thus:
gen(4) // [0,1,2,3]
The nice thing about this is you don't just have to increment... To take inspiration from the answer #igor-shubin gave, you could create an array of randoms very easily:
const gen = N => [...(function*(){let i=0;
while(i++<N) yield Math.random()
})()]
And rather than something lengthy operationally expensive like:
const slow = N => new Array(N).join().split(',').map((e,i)=>i*5)
// [0,5,10,15,...]
you could instead do:
const fast = N => [...(function*(){let i=0;while(i++<N)yield i*5})()]

How to get the element which are diagonal to a certain index in an array which represents a rectangle

Consider an array whose length will be always product of two numbers. For below array l is 4 and w is 5.
There is also a given index. I want to get the two arrays containing elements which lie on the diagonal line which passes through that particular index.
[
0, 1, 2, 3, 4
5, 6, 7, 8, 9
10, 11, 12, 13, 14
15, 16, 17, 18, 19
]
index = 7 => [3, 7, 11, 15] and [1, 7, 13, 19]
index = 16 => [4, 8, 12, 16] and [10, 16]
index = 0 => [0, 6, 12, 18] and [0]
I have tried following:
let arr = Array(20).fill().map((x,i) => i);
function getDias(arr, l, w, ind){
let arr1 = [];
let arr2 = [];
for(let i = 0;i<l;i++){
arr1.push(arr[ind + (i * w) + i])
arr1.push(arr[ind - (i * w) - i])
arr2.push(arr[ind + (i * w) + i])
arr2.push(arr[ind - (i * w) - i])
}
const remove = arr => [...new Set(arr.filter(x => x !== undefined))];
return [remove(arr1),remove(arr2)];
}
console.log(getDias(arr, 4, 5, 7))
The code have two problems. Both the arrays in the result are same. And secondly they are not in order.
Note: I don't want to use sort() to reorder the array. And also I don't want loop through all 20 elements. Just want to get the elements of that diagonal row
Some math (ie, modulus, integer division, and minimums) can find the beginning row and column for both the diagonal that runs left-to-right (LTR) and right-to-left (RTL), saving complexity of iterating backwards to find the starting points. Then, using those beginning rows and columns, simply iterate until outside the height and width bounds of the array.
let arr = Array(20).fill().map((x, i) => i);
function diagonals(arr, h, w, n) {
var nRow = Math.floor(n / w);
var nCol = n % w;
let LTR = [];
for (let r = nRow - Math.min(nRow, nCol), c = nCol - Math.min(nRow, nCol); r < h && c < w; r++, c++) LTR.push(arr[r * w + c]);
let RTL = [];
for (let r = nRow - Math.min(nRow, w - nCol - 1), c = nCol + Math.min(nRow, w - nCol - 1); r < h && 0 <= c; r++, c--) RTL.push(arr[r * w + c]);
return [LTR, RTL];
}
Sample runs...
diagonals(arr, 4, 5, 7); // returns ==> [[1, 7, 13, 19], [3, 7, 11, 15]]
diagonals(arr, 4, 5, 15); // returns ==> [[15], [3, 7, 11, 15]]
Edit: Note on arr value vs index.
Also, just a point of clarification. The question indicates "There is also a given index. I want to get the two arrays containing elements which lie on the diagonal line which passes through that particular index." If the index of the rectangular array is being sought rather than the actual value of arr, then there is no need to build arr, and subsequently the function and push statements can be changed to...
function diagonals(h, w, n)
LTR.push(r * w + c)
RTL.push(r * w + c)
Try the following code
let arr = Array(20).fill().map((x,i) => i);
function getDias(arr, l, w, ind){
let arr1 = [];
let arr2 = [];
n = l*w;
lVal = Math.floor(ind/w);
rVal = ind%w;
temp1 = lVal;
temp2 = rVal;
while(temp1>=0 && temp2>=0){
val = ((w*temp1) + temp2);
arr1.unshift(arr[val]);
temp1--;
temp2--;
}
temp1 = lVal;
temp2 = rVal;
temp1++;
temp2++;
while(temp1<l && temp2<w){
val = ((w*temp1) + temp2);
arr1.push(arr[val]);
temp1++;
temp2++;
}
console.log(arr1);
temp1 = lVal;
temp2 = rVal;
while(temp1>=0 && temp2<w){
val = ((w*temp1) + temp2);
arr2.unshift(arr[val]);
temp1--;
temp2++;
}
temp1 = lVal;
temp2 = rVal;
temp1++;
temp2--;
while(temp1<l && temp2>=0){
val = ((w*temp1) + temp2);
arr2.push(arr[val]);
temp1++;
temp2--;
}
console.log(arr2);
}
getDias(arr, 4, 5, 7);
getDias(arr, 4, 5, 16);
getDias(arr, 4, 5, 0);
The idea is to compute l_val and r_val.
l_val = index/w
r_val = index%w
Now arr[l_val][r_val] marks the position in the matrix found by l_val* w+ r_val
This is now followed by 4 steps:
1) Start iteration from arr[l_val][r_val]. Subtract 1 from both till we reach the end. Unshift this to array_1 (to maintain order)
2) Start iteration from [l_val][r_val].Add 1 to both till we reach the end. Push this to array_1.
3) Start iteration from arr[l_val][r_val]. Subtract 1 from l_val and add 1 t r_val till we reach the end. Unshift this to array_2 (to maintain order)
4) Start iteration from [l_val][r_val].Add 1 to l_val and subtract 1 from r_val till we reach the end. Push this to array_2.
let arr = Array(20).fill().map((x, i) => i);
function getDias(arr, l, w, ind) {
let arr1 = [];
let arr2 = [];
let row = parseInt(ind / w);
let col = ind - row * w;
diagIteration(arr, row, col, l, w, -1, arr1);
diagIteration(arr, row, col, l, w, 1, arr2);
return [arr1, arr2];
}
function diagIteration(arr, row, col, l, w, strategy, result) {
// find the starting row and col to begin with
while (row - 1 >= 0 && col + strategy >= 0 && col + strategy < w) {
row--;
col += strategy;
}
// iterate the diagonal elements and add it in result
strategy *= -1; // since we need to diagonally the reverse way after getting the base indexes to begin with
for (; row >= 0 && row < l && col >= 0 && col < w; row++, col += strategy) result.push(arr[row * w + col]);
}
// tests
for (var i = 0; i < arr.length; ++i) {
console.log(arr[i] + ' =>', getDias(arr, 4, 5, i));
}
We compute the row and column for a particular given index. For any given index, the row would be index / width and column would be index - row * width.
Now, we find the base indexes to begin with and iterate over the diagonal as if were a 2D array. The index lying on any diagonal can be computed as row * width + column. We do an additional check to see if we are still in range of the simulated 2D array.
/* you need to start your loop with respect of R and C; if you find the element then you need to break the loop and follow same process.*/
function Diagonals(R, C, matrix, K)
{
for(let i=0; i<R;i++)
{
for(let j=0; j<C; j++)
{
if(matrix[i][j]==K)
{
r=i;
c=j;
break;
}
}
}
let sum = r+c;
let diff= r-c;
let left= "";
let right="";
for(let i=0; i<R; i++){
for(let j=0; j<C; j++){
if(i-j==diff){
left=left+matrix[i][j]+" ";
}
if(i+j==sum)
{
right=right+matrix[i][j]+" ";
}
}
}
console.log(left);
console.log(right);
}

how to create a function that works same as microsoft excel sumproduct

I am trying to re-create excel sumproduct function in javascript but I am not fully able to do so as I do not exactly know how does it work for both multiplying sums of arrays and also providing logical results if conditions are passed. I am also looking for a summary to describe it's logic but I can only find ways to use it.
I can do the part that sums the result of array multiplication but I want to include the capability to return logical results when it is passed logical conditions
Here is the code for the multiplication:
var x = function(y, x) {
let len=y.length, sum=0; product=0;
if(y.length==x.length) {
for(i=0;i<len;i++)
{
product=y[i]*x[i];
sum+=product;
}
return sum;
}
else return 0;
}
You can pass a callback function as the first argument of your function
const SUMPRODUCT = (callback, ar1, ar2) => {
if(ar1.length !== ar2.length)
throw new RangeError()
let sum = 0
for(i=0; i<ar1.length; i++){
if(callback(ar1[i], ar2[i]))
sum += ar1[i] * ar2[i]
}
return sum
}
const x = [-5, 12, -7, 0, 10]
const y = [50, 2, 120, 87, 14]
console.log(SUMPRODUCT((x, y) => x > 0, x, y))
In Excel = SUMPRODUCT( A1:A3 * (B1:B3 > 4) ) is the same as :
= A1 * (B1 > 4) + A2 * (B2 > 4) + A3 * (B3 > 4)
In JavaScript that can be achieved with a simple for loop :
var a = [1, 2, 3], b = [4, 5, 6]
for (var sum = 0, i = 0; i < a.length; i++)
sum += a[i] * (b[i] > 4)
console.log( sum )
Or with the versatile array reduce method :
var a = [1, 2, 3], b = [4, 5, 6]
var sum = a.reduce((s, v, i) => s + v * (b[i] > 4), 0)
console.log( sum )

How to write the code with less time complexity for finding the missing element in given array range?

My function should return the missing element in a given array range.
So i first sorted the array and checked if the difference between i and i+1 is not equal to 1, i'm returning the missing element.
// Given an array A such that:
// A[0] = 2
// A[1] = 3
// A[2] = 1
// A[3] = 5
// the function should return 4, as it is the missing element.
function solution(A) {
A.sort((a,b) => {
return b<a;
})
var len = A.length;
var missing;
for( var i = 0; i< len; i++){
if( A[i+1] - A[i] >1){
missing = A[i]+1;
}
}
return missing;
}
I did like above, but how to write it more efficiently??
You could use a single loop approach by using a set for missing values.
In the loop, delete each number from the missing set.
If a new minimum value is found, all numbers who are missing are added to the set of missing numbers, except the minimum, as well as for a new maximum numbers.
The missing numbers set contains at the end the result.
function getMissing(array) {
var min = array[0],
max = array[0],
missing = new Set;
array.forEach(v => {
if (missing.delete(v)) return; // if value found for delete return
if (v < min) while (v < --min) missing.add(min); // add missing min values
if (v > max) while (v > ++max) missing.add(max); // add missing max values
});
return missing.values().next().value; // take the first missing value
}
console.log(getMissing([2, 3, 1, 5]));
console.log(getMissing([2, 3, 1, 5, 4, 6, 7, 9, 10]));
console.log(getMissing([3, 4, 5, 6, 8]));
Well, from the question (as it's supposed to return a single number) and all the existing solution (examples at least), it looks like list is unique. For that case I think we can sumthe entire array and then subtracting with the expected sum between those numbers will generate the output.
sum of the N natural numbers
1 + 2 + ....... + i + ... + n we can evaluate by n * (n+1) / 2
now assume, in our array min is i and max is n
so to evaluate i + (i+1) + ..... + n we can
A = 1 + 2 + ..... + (i-1) + i + (i+1) + .... n (i.e. n*(n+1)/2)
B = 1 + 2 + ..... + (i-1)
and
C = A - B will give us the sum of (i + (i+1) + ... + n)
Now, we can iterate the array once and evaluate the actual sum (assume D), and C - D will give us the missing number.
Let's create the same with each step at first (not optimal for performance, but more readable) then we will try to do in a single iteration
let input1 = [2, 3, 1, 5],
input2 = [2, 3, 1, 5, 4, 6, 7, 9, 10],
input3 = [3, 4, 5, 6, 8];
let sumNatural = n => n * (n + 1) / 2;
function findMissing(array) {
let min = Math.min(...array),
max = Math.max(...array),
sum = array.reduce((a,b) => a+b),
expectedSum = sumNatural(max) - sumNatural(min - 1);
return expectedSum - sum;
}
console.log('Missing in Input1: ', findMissing(input1));
console.log('Missing in Input2: ', findMissing(input2));
console.log('Missing in Input3: ', findMissing(input3));
Now, lets try doing all in a single iteration (as we were iterating 3 times for max, min and sum)
let input1 = [2, 3, 1, 5],
input2 = [2, 3, 1, 5, 4, 6, 7, 9, 10],
input3 = [3, 4, 5, 6, 8];
let sumNatural = n => n * (n + 1) / 2;
function findMissing(array) {
let min = array[0],
max = min,
sum = min,
expectedSum;
// assuming the array length will be minimum 2
// in order to have a missing number
for(let idx = 1;idx < array.length; idx++) {
let each = array[idx];
min = Math.min(each, min); // or each < min ? each : min;
max = Math.max(each, max); // or each > max ? each : max;
sum+=each;
}
expectedSum = sumNatural(max) - sumNatural(min - 1);
return expectedSum - sum;
}
console.log('Missing in Input1: ', findMissing(input1));
console.log('Missing in Input2: ', findMissing(input2));
console.log('Missing in Input3: ', findMissing(input3));
Instead of sorting, you could put each value into a Set, find the minimum, and then iterate starting from the minimum, checking if the set has the number in question, O(N). (Sets have guaranteed O(1) lookup time)
const input1 = [2, 3, 1, 5];
const input2 = [2, 3, 1, 5, 4, 6, 7, 9, 10];
const input3 = [3, 4, 5, 6, 8];
function findMissing(arr) {
const min = Math.min(...arr);
const set = new Set(arr);
return Array.from(
{ length: set.size },
(_, i) => i + min
).find(numToFind => !set.has(numToFind));
}
console.log(findMissing(input1));
console.log(findMissing(input2));
console.log(findMissing(input3));
If the array is items and the difference between missing and present diff is 1:
const missingItem = items => [Math.min(...items)].map(min => items.filter(x =>
items.indexOf(x-diff) === -1 && x !== min)[0]-diff)[0]
would give complexity of O(n^2).
It translates to: find the minimum value and check if there isn't a n-diff value member for every value n in the array, which is also not the minimum value. It should be true for any missing items of size diff.
To find more than 1 missing element:
([Math.min(...items)].map(min => items.filter(x =>
items.indexOf(x-diff) === -1 && x !== min))[0]).map(x => x-diff)
would give O((m^2)(n^2)) where m is the number of missing members.
Found this old question and wanted to take a stab at it. I had a similar thought to https://stackoverflow.com/users/2398764/koushik-chatterjee in that I think you can optimize this by knowing that there's always only going to be one missing element. Using similar methodology but not using a max will result in this:
function getMissing(arr) {
var sum = arr.reduce((a, b) => a + b, 0);
var lowest = Math.min(...arr);
var realSum = (arr.length) * (arr.length + 1) / 2 + lowest * arr.length;
return realSum - sum + lowest;
}
With the same inputs as above. I ran it in jsperf on a few browsers and it is faster then the other answers.
https://jsperf.com/do-calculation-instead-of-adding-or-removing.
First sum everything, then calculate the lowest and calculate what the sum would be for integers if that happened to be the lowest. So for instance if we have 2,3,4,5 and want to sum them that's the same as summing 0,1,2,3 and then adding the lowest number + the amount of numbers in this case 2 * 4 since (0+2),(1+2),(2+2),(3+2) turns it back into the original. After that we can calculate the difference but then have to increase it once again by the lowest. To offset the shift we did.
You can use while loop as well, like below -
function getMissing(array) {
var tempMin = Math.min(...array);
var tempMax = tempMin + array.length;
var missingNumber = 0;
while(tempMin <= tempMax){
if(array.indexOf(tempMin) === -1) {
missingNumber = tempMin;
}
tempMin++;
}
return missingNumber;
}
console.log(getMissing([2, 3, 1, 5]));
console.log(getMissing([2, 3, 1, 5, 4, 6, 7, 9, 10]));
console.log(getMissing([3, 4, 5, 6, 8]));
My approach is based on in place sorting of the array which is O(N) and without using any other data structure.
Find the min element in the array.
Sort in place.
Again loop the array and check if any element is misplaced, that is the answer!
function getMissing(ar) {
var mn = Math.min(...ar);
var size = ar.length;
for(let i=0;i<size;i++){
let cur = ar[i];
// this ensures each element is in its right place
while(cur != mn +i && (cur - mn < size) && cur != ar[cur- mn]) {
// swap
var tmp = cur;
ar[i] = ar[cur-mn];
ar[cur-mn] = tmp;
}
}
for(let i=0; i<size; i++) {
if(ar[i] != i+mn) return i+mn;
}
}
console.log(getMissing([2, 3, 1, 5]));
console.log(getMissing([2, 3, 1, 5, 4, 6, 7, 9, 10]));
console.log(getMissing([3, 4, 5, 6, 8]));

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