Develop Reference

Split array into arrays of numbers where the sum is equal to a specific target

I need to create a function that take as parameter an array and a target. It should return an array of arrays where the sum of these numbers equals to the target
sumPairs(array, target) {
}
For example:
sumPairs([1, 2, 3, 4, 5], 7) // output : [[2, 5], [3, 4]]
I know I have to use map(), and probably reduce(), set(), or filter() maybe (I read their documentation in MDN but still cant find out). I tried some ways but I can't get it.
If you guys could help me to find out how to dynamically create arrays and push them into a new array..
I read there some solutions (Split array into arrays of matching values) but I hate to just use created functions without knowing what they really do or how they work.

Some very basic code for achieving it, Just run all over combinations and conditionally add the items you want.
function sumPairs(array, target) {
var res = [];
for(var i = 0; i < array.length; i++){
for(var j = 0; j < array.length; j++){
if(i!=j && array[i]+array[j]==target &&
res.filter((x)=> x[0] == array[j] && x[1] == array[i]).length == 0 )
res.push([array[i], array[j]]);
}
}
return res;
}
var result = sumPairs([1, 2, 3, 4, 5], 7);
console.log(result);
Option 2 - see this answer for more options (like using reduce)
function sumPairs(array, target) {
return array.flatMap(
(v, i) => array.slice(i+1).filter(w => (v!=w && v+w==target)).map(w=> [w,v])
);
}
var result = sumPairs([1, 2, 3, 4, 5], 7);
console.log(result);

"The exercise says that it sould be arrays of pairs that sum the
target value so I think only 2 items"
If you need a pair that matches a sum and you pick any number from the list, you are left with
the following equation to solve num + x = sum where we want to find x. E.g. if you picked 7 and the target sum is 10 then you know you are looking for a 3.
Therefore, we can first construct a counting map of the numbers available in our list linear (O(n)) time and then search for matches in linear time as well rather than brute forcing with a quadratic algorithm.
const nums = [1, 2, 3, 4, 5];
console.log(findSumPairs(nums, 7));
function findSumPairs(nums, sum) {
const countByNum = countGroupByNum(nums);
return nums.reduce((pairs, num) => {
countByNum[num]--;
const target = sum - num;
if (countByNum[target] > 0) {
countByNum[target]--;
pairs.push([num, target]);
} else {
countByNum[num]++;
}
return pairs;
}, []);
}
function countGroupByNum(nums) {
return nums.reduce((acc, n) => (acc[n] = (acc[n] || 0) + 1, acc), {});
}
Here's another implementation with more standard paradigms (e.g. no reduce):
const nums = [1, 2, 3, 4, 5];
console.log(findSumPairs(nums, 7));
function findSumPairs(nums, sum) {
const countByNum = countGroupByNum(nums);
const pairs = [];
for (const num of nums) {
const target = sum - num; //Calculate the target to make the sum
countByNum[num]--; //Make sure we dont pick the same num instance
if (countByNum[target] > 0) { //If we found the target
countByNum[target]--;
pairs.push([num, target]);
} else {
countByNum[target]++; //Didin't find a match, return the deducted num
}
}
return pairs;
}
function countGroupByNum(nums) {
const countByNum = {};
for (const num of nums) {
countByNum[num] = (countByNum[num] || 0) + 1;
}
return countByNum;
}

You can also sort your array and find all the pairs with given sum by using two pointer method. Place the first pointer to the start of the array and the second pointer to the end.
if the sum of the values at the two places is :
More than target: Decrement your second pointer by 1
Less than target: Increment your first pointer by 1
Equal to target: This is one possible answer, push them to your answer array and increment your first pointer by 1 and decrement your second pointer by 1.
This is more performant solution with complexity O(n*log(n))

How to sort an array of odd numbers in ascending order, but keep even numbers at their position?

I want to sort only odd numbers without moving even numbers. For example, when I write :
sortArray([5, 3, 2, 8, 1, 4])
The expected result is :
[1, 3, 2, 8, 5, 4]
I am new to JavaScript and I came across a challenge on the Internet that has me perplexed. I normally wouldn't post asking for a solution on the Internet, BUT I have tried for hours and I would like to learn this concept in JavaScript.
The challenge states :
You have an array of numbers.
Your task is to sort ascending odd numbers but even numbers must be on their places.
Zero isn't an odd number and you don't need to move it. If you have an empty array, you need to return it.
Here is my code so far, please take it easy on me I am in the beginning stages of programming.
function sortArray(array) {
let oddNums = [];
for(let i = 0; i < array.length; i++) {
if(array[i] % 2 !== 0) {
oddNums.push(array[i]);
}
}
oddNums = oddNums.sort((a,b)=> a-b);
array.concat(oddNums);
array = array.sort((a,b) => a-b);
return array;
}

You could take a helper array for the odd indices and another for the odd numbers, sort them and apply them back on the previously stored indices of the original array.
var array = [5, 3, 2, 8, 1, 4],
indices = [];
array
.filter((v, i) => v % 2 && indices.push(i))
.sort((a, b) => a - b)
.forEach((v, i) => array[indices[i]] = v);
console.log(array);

Here's a solution using mostly the built-in array methods. Get a list of just the odds, sort it, then map through the original, replacing each item with the first sorted odd if the item is odd, or itself if even:
const array = [5, 3, 2, 8, 1, 4] // to: [1, 3, 2, 8, 5, 4]
function sortOddsOnly(arr) {
const odds = arr
.filter(x => x%2)
.sort((a, b) => a - b);
return arr
.map(x => x%2 ? odds.shift() : x);
}
console.log(sortOddsOnly(array));

I have a solution like this.
Build a sorted odd number array 1st, and then fill the rest of even numbers in order:
const arr = [5, 3, 2, 8, 1, 4];
const odd = arr.filter(i => i%2 !== 0).sort();
let i = 0,
result = [];
arr.forEach(e => {
if (e%2 === 0) {
result.push(e)
} else {
result.push(odd[i]);
i++;
}
});
console.log(result);

just do:
arr.sort((a, b) => a%2 && b%2 ? a - b : 0)
If that works depends on the sort algorithm your browser uses.
A browserindependent version:
for(const [i1, v1] of arr.entries())
for(const [i2, v2] of arr.entries())
if( v1%2 && v2%2 && (i1 < i2) === (v1 > v2))
([arr[i1], arr[i2]] = [v2, v1]);

One of the possible solutions is this. What I have done is created new array odd(array with odd position in original array using Array.prototype.filter) and then sort that array using Array.prototype.sort. Then using Array.prototype.map change value of all odd element of original array with odd array.
x1=[5, 3, 2, 8, 1, 4];
function sortArray(array) {
var odd = array.filter((x,i) => (i+1) % 2 ).sort((a,b) => a > b); //sort odd position and store that in new array
return array.map((x,i) => (i+1) % 2 ? odd.shift() : x ); //if i is odd then replace it with element from
//odd array otherwise keep the element as it is
}
console.log(sortArray(x1));

Here is a possible solution using a slightly customized selection sort :
var xs = [5, 3, 2, 8, 1, 4];
console.log(sortOddsOnly(xs));
function sortOddsOnly (xs) {
var n = xs.length;
for (var i = 0; i < n - 1; i++) {
if (xs[i] % 2 === 1) {
for (var j = i + 1; j < n; j++) {
if (xs[j] % 2 === 1) {
if (xs[i] > xs[j]) {
var min = xs[j];
xs[j] = xs[i];
xs[i] = min;
}
}
}
}
}
return xs;
}
The first two if guarantee that we swap only odd numbers (x % 2 === 1 means "x is odd").

def sort_array(source_array):
b = sorted([n for n in source_array if n % 2 != 0])
c = -1
d = []
for i in source_array:
c = c+1
if i % 2 != 0 :
d.append(c)
for x in range (len(d)):
z = d[x]
source_array[z] = b[x]
return source_array

Optimize- get third largest num in array

So, I was working on this challenge to return the third largest number in an array. I had got it worked out until I realized that I must account for repeat numbers. I handled this by adding 3 layers of for loops with variables i, j, and k. You'll see what I mean in the code. This is not terribly efficient or scalable.
My question is, how can I optimize this code? What other methods should I be using?
function thirdGreatest (arr) {
arr.sort(function(a, b) {
if (a < b) {
return 1;
} else if (a > b) {
return -1;
} else {
return 0;
}
});
for ( var i = 0; i < arr.length; i++) {
for (var j = 1; j < arr.length; j++) {
for (var k = 2; k < arr.length; k++) {
if (arr[i] > arr[j]) {
if (arr[j] > arr[k]) {
return arr[k];
}
}
}
}
}
}
console.log(thirdGreatest([5, 3, 23, 7,3,2,5,10,24,2,31, 31, 31])); // 23
console.log(thirdGreatest([5, 3, 23, 7,3,2,5,10,24,2,31])) // 23
console.log(thirdGreatest([5, 3, 7, 4])); // 4
console.log(thirdGreatest([2, 3, 7, 4])); // 3

Since you already sorted the array, it seems like you should be fine iterating over the list and keep track of the numbers you have already seen. When you have seen three different numbers, return the current one:
var seen = [arr[0]];
for (var i = 1; i < arr.length; i++) {
if (arr[i] !== seen[0]) {
if (seen.length === 2) {
return arr[i];
}
seen.unshift(arr[i]);
}
}
function thirdGreatest (arr) {
arr.sort(function(a, b) {
return b - a;
});
var seen = [arr[0]];
for (var i = 1; i < arr.length; i++) {
if (arr[i] !== seen[0]) {
if (seen.length === 2) {
return arr[i];
}
seen.unshift(arr[i]);
}
}
}
console.log(thirdGreatest([5, 3, 23, 7,3,2,5,10,24,2,31, 31, 31])); // 23
console.log(thirdGreatest([5, 3, 23, 7,3,2,5,10,24,2,31])) // 23
console.log(thirdGreatest([5, 3, 7, 4])); // 4
console.log(thirdGreatest([2, 3, 7, 4])); // 3
Note: You can simplify the sort callback to
arr.sort(function(a, b) {
return b - a;
});
// With arrow functions:
// arr.sort((a, b) => b - a);
The callback has to return a number that is larger, smaller or equal to 0, it doesn't have to be exactly -1 or 1.

A one-"line"r using Set to remove duplicates
Array.from(new Set(arr)).sort(function(a, b) {
return b - a;
})[2];
Set now has reasonable browser support

The optimal solution is to do this in a single pass O(n) time. You do not need to sort the array - doing so makes your solution at-least (n log n).
To do this in as single pass, you simply need three temporary variables: largest, secondLargest, thirdLargest. Just go through the array and update these values as necessary (i.e. when you replace largest it becomes second largest, etc...). Lastly, when you see duplicates (i.e. currentValue == secondLargest), just ignore them. They don't affect the outcome.
Don't forget to check for edge cases. You cannot provide an answer for [2, 2, 2, 2, 2] or [3, 2].

Try to think about what data structure you can use here. I suggest a set. Every time you add a nested loop your function gets exponentially slower.
Edited:
function thirdGreatest(arr) {
var s = Array.from(new Set(arr)).sort(function(a, b) {
return a - b;
})
return s[2] || s[1] || s[0] || null;
}
Working Example
We need to be able to handle:
[1,2,1,2] // 2
[1,1,1,1] // 1
[] // null
This assumes that you get an array passed in.
If you do not have a third largest number, you get the second.
If you do not have a second largest you get the first largest.
If you have no numbers you get null
If you want the 3rd largest or nothing, return s[2] || null

Many of the other answers require looping through the initial array multiple times. The following sorts and deduplicates at the same time. It's a little less terse, but is more performant.
const inputArray = [5,3,23,24,5,7,3,2,5,10,24,2,31,31,31];
const getThirdGreatest = inputArray => {
const sorted = [inputArray[0]]; // Add the first value from the input to sorted, for our for loop can be normalized.
let migrated = false;
let j;
for(let i = 1; i<inputArray.length; i++) { // Start at 1 to skip the first value in the input array
for(j=0; j<sorted.length; j++) {
if(sorted[j] < inputArray[i]) {
// If the input value is greater than that in the sorted array, add that value to the start of the sorted array
sorted.splice(j,0,inputArray[i]);
migrated = true;
break;
} else if(sorted[j] === inputArray[i]) {
// If the input value is a duplicate, ignore it
migrated = true;
break;
}
}
if(migrated === false) {
// If the input value wasn't addressed in the loop, add it to the end of the sorted array.
sorted[sorted.length] = inputArray[i];
} else {
migrated = false;
}
}
// Return the third greatest
return sorted[2];;
};
const start = performance.now();
getThirdGreatest(inputArray); // 23
const end = performance.now();
console.log('speed: ', end - start); // 0.1 - 0.2ms

One single iteration O(n) and very fast method of doing this is making your own Set like object. The advantageous point is making no comparisons at all when constructing our "sorted" list of "unique" elements which brings enormous efficiency. The difference is very noticeable when dealt with huge lists like in the lengths exceeding 1,000,000.
var arr = [5, 3, 23, 7,3,2,5,10,24,2,31, 31, 31],
sorted = Object.keys(arr.reduce((p,c)=> (p[c] = c, p),Object.create(null))),
third = sorted[sorted.length-3];
document.write(third);
If you think Object.keys might not return a sorted array (which i haven't yet seen not) then you can just sort it like it's done in the Set method.
Here i tried it for 1,000,000 item array and returns always with the correct result in around 45msecs. A 10,000,000 item array would take like ~450msec which is 50% less than other O(n) solutions listed under this question.
var arr = [],
sorted = [],
t0 = 0,
t1 = 0,
third = 0;
for (var i = 0; i<1000000; i++) arr[i] = Math.floor(Math.random()*100);
t0 = performance.now();
sorted = Object.keys(arr.reduce((p,c)=> (p[c] = c, p),Object.create(null)));
third = sorted[sorted.length-3];
t1 = performance.now();
document.write(arr.length + " size array done in: " + (t1-t0) + "msecs and the third biggest item is " + third);

breaking an array into subsets

I am trying to get this function to split an array into subsets. each subset is to have numbers that are equal to the previous or within 1 from the previous number.
The example I have below should return two subsets but it returns {0, 1, 2, 3} instead. Any idea on what I am doing wrong? Also, is there a better way to dynamically create an array for each new subset? Thanks
function max_tickets() {
var arr = [4, 13, 2, 3];
var myarr = arr.sort(function(a, b){return a-b});
for(var i = 0; i<myarr.length; i++){
var iplus = i+1;
if(i === i || i === iplus){
newArr= [];
newArr.push(i);
}else if (i !== i || i !== iplus){
arr2 =[];
arr2.push(i);
}
}
}

What you are trying to do is usually called "partitioning". The generic version of the problem is to partition an array into sub-arrays using some "rule", or predicate, or condition, which specifies which partition a particular element is supposed to go into, or specifies that it should go into a new partition.
The pseudo code for doing this would be:
To partition an array:
Initialize the resulting array
For each element in the array
If that element starts a new chunk
Create a new empty chunk in the resulting array
Add the element to the most recent chunk
Return the result
This can be expressed in JS quite straightforwardly as
function partition(array, fn) {
return array.reduce((result, elt, i, a) => {
if (!i || !fn(elt, i, a)) result.push([]);
result[result.length - 1].push(elt);
return result;
}, []);
}
Now we need to write the function saying when a new partition should start:
// Is the element within one of the previous element?
function close(e, i, a) {
return Math.abs(e - a[i-1]) > 1;
}
We can now partition the array with
partition([[4, 13, 2, 3], close)

This should work.
function max_tickets() {
var arr = [4, 13, 2, 3];
var myarr = arr.sort(function (a, b) { return a - b });
arrSubsets = [];
arr1 = [];
for (var i = 0; i < myarr.length; i++) {
if (myarr[i - 1] === undefined) {
arr1.push(myarr[i]);
continue;
}
if (myarr[i] - myarr[i - 1] <= 1) {
arr1.push(myarr[i]);
}
else {
arrSubsets.push(arr1);
arr1 = [];
arr1.push(myarr[i]);
}
}
if (arr1.length > 0)
arrSubsets.push(arr1);
}
max_tickets();

Based on your questions:
Any idea on what I am doing wrong?.
Inside of your loop you are using i as if it is the value of the array, but the loop goes from 0 to the value of myarr.length in your particular case 4, so that makes the value of i to be 0, 1, 2, 3.
As you can see you are using the values of the index to compare, instead of using the values of the array in order to use the values of the array you must specify the arrayname[index], in your case myarr[i] that will give you the values: 4, 13, 2, 3.
Also, is there a better way to dynamically create an array for each new subset?
Yes you can create an array inside of another array dynamically inside of a loop:
var b = [];
for(var i = 0; i < 10; i++){
b.push(['I am' + i, i]);
}
As you can see in the previous example I'm creating an array inside of the b array so once the loop finishes the b array will have 10 arrays inside of it with 2 elements each.

JavaScript - Special case of subset sum algorithm

From a given array of positive integers, I want to know if the sum of E elements from the array is equal to a given number N.
For example, given the array arr = [1, 2, 3, 4] , e = 3 and n = 9. It means if the sum of 3 elements in arr equals to 9. The result is true since 2 + 3 + 4 is equal to 9.
Another example with arr = [1, 2, 3, 4] , e = 2 and n = 7. It is true since 3 + 4 is equal to 7.
I'm trying to resolve it with recursion, but I'm stuck. My idea is to nest loops dynamically to walk through the elements to the array and compare them.
My attempt is this:
function subsetsum(arr, elements, n) {
loop(arr, elements, n, [], 0);
}
function loop(arr, elements, n, aux, index) {
if(aux.length != elements) {
aux[index] = arr.length - 1;
loop(arr, elements, n, aux, index + 1);
} else {
if ((elements - index + 1) < 0) {
return 0;
} else {
if (aux[elements - index + 1] > 0) {
aux[elements - index + 1]--;
loop(arr, elements, n, aux, index);
}
}
}
}
subsetsum([1, 2, 3, 4], 3, 9));

A related question is at Find the highest subset of an integer array whose sums add up to a given target. That can be modified to restrict the number of elements in the subset as follows:
// Find subset of a, of length e, that sums to n
function subset_sum(a, e, n) {
if (n < 0) return null; // Nothing adds up to a negative number
if (e === 0) return n === 0 ? [] : null; // Empty list is the solution for a target of 0
a = a.slice();
while (a.length) { // Try remaining values
var v = a.shift(); // Take next value
var s = subset_sum(a, e - 1, n - v); // Find solution recursively
if (s) return s.concat(v); // If solution, return
}
}

I've been playing around with this for a while and decided to use a short-cut, mainly the permutation code from this previous SO question.
My code uses basically uses the permutation code to create an array of all the possible permutations from the input array, then for each array (using map) grabs a slice corresponding to the number specified as amount, sums that slice and if it is the same as total returns true.
some then returns the final result as to whether there are any permutations that equals the total.
function checker(arr, amount, total) {
var add = function (a, b) { return a + b; }
return permutator(arr).map(function(arr) {
var ns = arr.slice(0, amount);
var sum = ns.reduce(add);
return sum === total;
}).some(Boolean);
}
checker([1, 2, 3, 4], 3, 9); // true
I've included two demos - 1) a demo showing this code, and 2) code that provides a more detailed breakdown: basically map returns an object containing the slice info, the sum totals and whether the condition has been met.
This is probably not what you're looking for because it's a bit long-winded, but it was certainly useful for me to investigate :)
Edit - alternatively here's a hacked version of that permutation code from the previous question that delivers the results and an array of matches:
function permutator(inputArr, amount, total) {
var results = [], out = [];
function permute(arr, memo) {
var cur, memo = memo || [];
var add = function (a, b) { return a + b; }
for (var i = 0; i < arr.length; i++) {
cur = arr.splice(i, 1);
if (arr.length === 0) {
results.push(memo.concat(cur));
}
var a = arr.slice();
// this is the change
var sum = memo.concat(cur).reduce(add);
if (memo.concat(cur).length === amount && sum === total) {
out.push(memo.concat(cur))
}
permute(a, memo.concat(cur));
arr.splice(i, 0, cur[0]);
}
return [results, out];
}
return permute(inputArr);
}
permutator([1,2,3,4], 3, 9);
DEMO

If I understand you correctly, the solution of this task must be simple like this:
function subsetsum(arr, countElements, sum) {
var length = arr.length-1;
var temp = 0;
var lastElement = length-countElements;
console.log(lastElement);
for (var i = length; i > lastElement; i--) {
temp = temp+arr[i];
console.log('Sum: '+temp);
}
if (temp === sum) {
console.log('True!');
} else {console.log('False!')}
};
subsetsum([1, 2, 3, 4], 2, 7);