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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 );

Given a list of n integers arr[0..(n-1)], determine the number of different pairs of elements within it which sum to k

I'm tackling this problem and I can't seem to arrive at the correct solution. The question is:
"Given a list of n integers arr[0..(n-1)], determine the number of different pairs of elements within it which sum to k. If an integer appears in the list multiple times, each copy is considered to be different; that is, two pairs are considered different if one pair includes at least one array index which the other doesn't, even if they include the same values.
My approach is that I'm building a map that contains each number in the array and the number of times it occurs. Then I iterate over the map to find my answer.
function numberOfWays(arr, k) {
let output = 0;
let map = {};
// put values and # of occurences into map
for(let i = 0; i < arr.length; i++) {
let key = arr[i];
if(!(key in map)) {
map[key] = 1;
} else {
map[key]++;
}
}
for(let key in map) {
let difference = k-key
if((difference) in map) {
if(k/2 === key) {
output += map[key]*(map[key]-1)/2;
} else {
output += map[key] * map[key] / 2; // divide by 2 so that pairs aren't counted twice
}
}
}
return output;
}
The two test cases are:
var arr_1 = [1, 2, 3, 4, 3]; expected result: [2] -- I'm getting [3]
var arr_2 = [1, 5, 3, 3, 3]; expected result: [4] -- I'm getting [5.5]
I'm definitely doing something wrong in my calculations, but I can't seem to wrap my ahead around it.

This is one way to nest the loops to find the pairs in array "arr" with the sum "k".
function numberOfWays(arr, k) {
let output = 0;
for (i = 0; i < arr.length; i++) {
for (n = i+1; n < arr.length; n++) {
if (arr[i] + arr[n] == k)
output++;
}
}
return output;
}

You could count the smaller and greater values for building k and then taker either the product or if only two of the same value is building the sum take factorial of the cound divided by two.
function numberOfWays(array, k) {
const
f = n => +!n || n * f(n - 1),
pairs = {};
for (const value of array) {
const smaller = Math.min(value, k - value);
pairs[smaller] ??= { one: 2 * smaller === k, min: 0, max: 0 };
pairs[smaller][value === smaller ? 'min' : 'max']++;
}
let count = 0;
for (const k in pairs) {
const { one, min, max } = pairs[k];
if (one) {
if (min > 1) count += f(min) / 2;
} else if (min && max) {
count += min * max;
}
}
return count;
}
console.log(numberOfWays([1, 2, 3, 4, 3], 6)); // 2
console.log(numberOfWays([1, 5, 3, 3, 3], 6)); // 4

function numberOfWays(items, k) {
// Clone as to not mutate original array
const arr = [...items]
let count = 0
// Stop comparing when no items left to compare
while (arr.length) {
for (let i = 0; i < arr.length; i++) {
// Compare each item to the first item
const sum = arr[0] + arr[i + 1]
if (sum === k) {
count++
}
}
// Remove the first item after comparing to the others
arr.shift()
}
return count
}
console.log(numberOfWays([1, 2, 3, 4, 3], 6))
console.log(numberOfWays([1, 5, 3, 3, 3], 6))
console.log(numberOfWays([1, 1, 1, 1, 1], 2))

import math
from math import factorial as f
def get_number_of_combination(n,r):
return f(n)//(f(n-r)*f(r))
def numberOfWays(arr, k):
num_count = {}
num_ways = 0
for i in arr:
old_count = num_count.get(i,0)
num_count.update({i: old_count+1})
for i in list(num_count.keys()):
if i == k - i and num_count.get(i,0) > 1:
num_ways += (get_number_of_combination(num_count.get(i,0),2))
num_count.update({i:0})
else:
i_n = num_count.get(i, 0)
ki_n = num_count.get(k-i, 0)
num_ways += i_n * ki_n
num_count.update({i:0,k-i:0})
return num_ways

How to multiply array values without nested loops

Problem:
Given an array of integers, return a new array such that each element at index i of the new array is the product of all the numbers in the original array except the one at i.
For example:
if our input was [1, 2, 3, 4, 5], the expected output would be [120, 60, 40, 30, 24].
If our input was [3, 2, 1], the expected output would be [2, 3, 6].
Solution 1 (With Nested loops): I'm able to solve this by nested loops like below:
const input = [1, 2, 3, 4, 5];
function output(items) {
const finalArray = [];
for (let i = 0; i < items.length; i++) {
let multipliedNum = 1;
items.forEach((item, indx) => {
if (i !== indx) {
multipliedNum = multipliedNum * item;
}
});
finalArray.push(multipliedNum)
}
return finalArray;
}
console.log(output(input))
I'm trying to find out another solution without nested loops inside output function? Any help or suggestion really appreciated.

If there are no zero values, you can loop through all the values once to get the product. Then just return the array where each the product is divided by each entry.
However, if there are zeros then there is a little more to be done to check how many there are. One zero is fine but more than 1 means that the value is zero for each entry.
const input = [1, 2, 3, 4, 5];
const input2 = [1, 2, 3, 4, 0];
const input3 = [1, 2, 3, 0, 0];
function output(items) {
let zeroCount = 0;
let totalProduct = 1;
for (let i = 0; i < items.length; i++) {
if (items[i] === 0) {
if (++zeroCount > 1) break;
continue;
}
totalProduct *= items[i];
}
if (zeroCount > 1) {
// more than 1 zero -> all values are 0
return new Array(items.length).fill(0);
} else if (zeroCount === 1) {
// only 1 zero -> only the value that is zero will be the totalProduct
return items.map(item => item === 0 ? totalProduct : 0);
}
// no zero in array -> divide the totalProduct by each item
return items.map(item => totalProduct / item);
}
console.log(output(input))
console.log(output(input2))
console.log(output(input3))

Based on what #Mike said in the comment here's the answer.
const input = [1, 2, 3, 4, 5];
const mulValues = input.reduce((acc, next) => acc * next);
const output = input.map(i => mulValues/i)
console.log(output)

you can do something like that (assuming array doesn't contain zero):
calculate product of all array elements
divide product by element at position [i] to get the desired output
const input = [1, 2, 3, 4, 5];
function output(items) {
const finalArray = [];
const multipliedNum=1;
for (let i = 0; i < items.length; i++) {
multipliedNum *= item[i];
}
for (let i = 0; i < items.length; i++) {
finalArray.push(multipliedNum/item[i]);
}
return finalArray;
}
console.log(output(input))

I know this has already been answered, but I think I have a better one.
If you take this issue by a different approach you will see that the product leaving the value at the index out, is also the product devided by value at the index.
If you know use the reduce function, you can simply calculate the product in one line using:
items.reduce((a, b) => a * b)
and then just divide by the value you want to ignore... like this:
items.reduce((a, b) => a * b) / items[index]
if you now want to compress this in one line instead of wrapping it into a for loop block you can simply copy the array and use the map function and the result could look like this:
result = [...items].map((v, i) => items.reduce((a, b) => a * b) / v)
I hope that this helps you to reduce your code

How to sum array values with an iterator without a for loop

I want to get the sum of the values of an array only using an iterator function. Below, I get the individual values using an iterator but I'm using a for-loop to ultimately summing their values.
Is there a more elegant way to accomplish the same result using only an iterator function?
function sumArray(arr) {
function nextIterator() {
let i = 0;
var iteratorWithNext = {
next: function nextElement() {
var element = arr[i];
i++
return element;
}
}
return iteratorWithNext;
}
var iteratorWithNext = nextIterator();
let sum = 0;
for (item of arr) {
sum = sum + iteratorWithNext.next();
}
return sum;
}
const array4 = [1, 2, 3, 4];
console.log(sumArray(array4)); // -> 10

If your aim is to take an iterator and sum up all its yielded values, that can easily be done with a simple loop:
function sum(iterator) {
let value, done, sum = 0;
do {
({value, done} = iterator.next());
sum += value || 0;
} while(!done)
return sum;
}
function* iter() { yield 1; yield 2; yield 3; }
sum(iter()) // 6

Yup, this is the example used for reduce.
[1, 2, 3, 4].reduce((sum, number) => sum + number)
The reduce() method applies a function against an accumulator and each element in the array (from left to right) to reduce it to a single value.
Edit: If you want an empty array to evaluate to 0 (rather than error), pass an initial value:
[1, 2, 3, 4].reduce((sum, number) => sum + number, 0)

You can use Array's reduce function to achieve this.
var a = [1, 2, 3, 4];
var sum = a.reduce( (a,b) => a + b);//sum will be 10

Find Missing Numbers from Unsorted Array

I found this JavaScript algorithm excercise:
Question:
From a unsorted array of numbers 1 to 100 excluding one number, how will you find that number?
The solution the author gives is:
function missingNumber(arr) {
var n = arr.length + 1,
sum = 0,
expectedSum = n * (n + 1) / 2;
for (var i = 0, len = arr.length; i < len; i++) {
sum += arr[i];
}
return expectedSum - sum;
}
I wanted to try and make it so you can find multiple missing numbers.
My solution:
var someArr = [2, 5, 3, 1, 4, 7, 10, 15]
function findMissingNumbers(arr) {
var missingNumbersCount;
var missingNumbers = [];
arr.sort(function(a, b) {
return a - b;
})
for(var i = 0; i < arr.length; i++) {
if(arr[i+1] - arr[i] != 1 && arr[i+1] != undefined) {
missingNumbersCount = arr[i+1] - arr[i] - 1;
for(j = 1; j <= missingNumbersCount; j++) {
missingNumbers.push(arr[i] + j)
}
}
}
return missingNumbers
}
findMissingNumbers(someArr) // [6, 8, 9, 11, 12, 13, 14]
Is there a better way to do this? It has to be JavaScript, since that's what I'm practicing.

You could use a sparse array with 1-values at indexes that correspond to values in the input array. Then you could create yet another array with all numbers (with same length as the sparse array), and retain only those values that correspond to an index with a 1-value in the sparse array.
This will run in O(n) time:
function findMissingNumbers(arr) {
// Create sparse array with a 1 at each index equal to a value in the input.
var sparse = arr.reduce((sparse, i) => (sparse[i]=1,sparse), []);
// Create array 0..highest number, and retain only those values for which
// the sparse array has nothing at that index (and eliminate the 0 value).
return [...sparse.keys()].filter(i => i && !sparse[i]);
}
var someArr = [2, 5, 3, 1, 4, 7, 10, 15]
var result = findMissingNumbers(someArr);
console.log(result);
NB: this requires EcmaScript2015 support.

The simplest solution to this problem
miss = (arr) => {
let missArr=[];
let l = Math.max(...arr);
let startsWithZero = arr.indexOf(0) > -1 ? 0 : 1;
for(i = startsWithZero; i < l; i++) {
if(arr.indexOf(i) < 0) {
missArr.push(i);
}
}
return missArr;
}
miss([3,4,1,2,6,8,12]);

Something like this will do what you want.
var X = [2, 5, 3, 1, 4, 7, 10, 15]; // Array of numbers
var N = Array.from(Array(Math.max.apply(Math, X)).keys()); //Generate number array using the largest int from X
Array.prototype.diff = function(a) {
return this.filter(function(i) {return a.indexOf(i) < 0;}); //Return the difference
};
console.log(N.diff(X));

Option 1:
1. create a binary array
2. iterate over input array and for each element mark binary array true.
3. iterate over binary array and find out numbers of false.
Time complexity = O(N)
Space complexity = N
Option 2:
Sort input array O(nLogn)
iterate over sorted array and identify missing number a[i+1]-a[i] > 0
O(n)
total time complexity = O(nlogn) + O(n)

I think the best way to do this without any iterations for a single missing number would be to just use the sum approach.
const arr=[1-100];
let total=n*(n+1)/2;
let totalarray=array.reduce((t,i)=>t+i);
console.log(total-totalarray);

You can try this:
let missingNum= (n) => {
return n
.sort((a, b) => a - b)
.reduce((r, v, i, a) =>
(l => r.concat(Array.from({ length: v - l - 1 }, _ => ++l)))(a[i - 1]),
[]
)
}
console.log(missingNum([1,2,3,4,10]));

Solution to find missing numbers from unsorted array or array containing duplicate values.
Array.prototype.max = function() {
return Math.max.apply(null, this);
};
var array1 = [1, 3, 4, 7, 9];
var n = array1.length;
var totalElements = array1.max(); // Total count including missing numbers. Can use max
var d = new Uint8Array(totalElements)
for(let i=0; i<n; i++){
d[array1[i]-1] = 1;
}
var outputArray = [];
for(let i=0; i<totalElements; i++) {
if(d[i] == 0) {
outputArray.push(i+1)
}
}
console.log(outputArray.toString());

My solution uses the same logic as trincot's answer
The time complexity is O(n)
const check_miss = (n) => {
let temp = Array(Math.max(...n)).fill(0);
n.forEach((item) => (temp[item] = 1));
const missing_items = temp
.map((item, index) => (item === 0 ? index : -1))
.filter((item) => item !== -1);
console.log(missing_items);
};
n = [5, 4, 2, 1, 10, 20, 0];
check_miss(n);