# Solving "Sum All Numbers in a Range" / freeCodeCamp Algorithm Challenges Viren B Originally published at virenb.cc ・3 min read

Solving freeCodeCamp's Algorithm Challenges (19 Part Series) Let's solve freeCodeCamp's intermediate algorithm scripting challenge, 'Sum All Numbers in a Range'.

### Starter Code

function sumAll(arr) {
return 1;
}

sumAll([1, 4]);


### Instructions

We'll pass you an array of two numbers. Return the sum of those two numbers plus the sum of all the numbers between them. The lowest number will not always come first.

For example, sumAll([4,1]) should return 10 because sum of all the numbers between 1 and 4 (both inclusive) is 10.

### Tests

sumAll([1, 4]) should return a number.
sumAll([1, 4]) should return 10.
sumAll([4, 1]) should return 10.
sumAll([5, 10]) should return 45.
sumAll([10, 5]) should return 45.


# Our Approach

Read everything first. Read the instructions clearly, read the starter code we're given, and read the tests and understand what has to be returned.

• The function takes one arguments, arr being an array.
• We need to sum the numbers plus all the numbers between the two.
• We need to return a number.

Now that we understand what we are given and what we want to output, let's see how we can solve this.

If you've completed the 'Functional Programming' section of freeCodeCamp, you would have been to some new array methods, reduce(), filter(), map(), and sort().

Since we have to figure out the numbers in between the two given to us in arr, I would start by running sort() on arr, so arr would be the smallest number.

MDN Documentation: sort()

arr.sort((a,b) => a - b);

I will also declare a new empty array to add all the numbers in between into.

let fullArr = [];

In order to get all the numbers in between, I will create a for loop, and push each value into our fullArr.

 for (let i = arr; i <= arr; i++) {
fullArr.push(i);
}


If we sort() as above then run our for loop, fullArr on sumAll([1,4]) should be [1, 2, 3, 4].

We now have all the numbers we need in an array. We just have to figure out how to add them all up.

Enter another new-er array method, reduce().

'The reduce() method executes a reducer function (that you provide) on each element of the array, resulting in single output value.'

That sounds like what we want, a single output value.

MDN Documentation: reduce()

How to use reduce?

const array1 = [1, 2, 3, 4];

const reducer = (accumulator, currentValue) => accumulator + currentValue;

// 1 + 2 + 3 + 4
console.log(array1.reduce(reducer));
// expected output: 10


Ensure you are returning a value!

So putting it all together with some pseudocode -

function sumAll(arr) {
create new empty array, fullArr
run sort method on array to arrange [small, big]
for loop on sorted arr
push each value into fullArr

fullArr, run reduce method, creating one single output integer value
return value
}


# Our Solution

function sumAll(arr) {
let fullArr = [];
arr.sort((a,b) => a - b);
for (let i = arr; i <= arr; i++) {
fullArr.push(i);
}
let sum = fullArr.reduce((acc, currVal) => {return acc + currVal}, 0);
return sum;
}


'Sum All Numbers in a Range' Challenge on fCC

freeCodeCamp

Donate to FCC!

Solution on my GitHub

Solving freeCodeCamp's Algorithm Challenges (19 Part Series)

### Discussion On your solution, you may change the original array destructively.

const arr = [5, 0]
sumAll(arr)  // 15
arr // [ 0, 5 ]


To avoid this, you can use [...arr] or concat() method.

function sumAll(arr) {
arr = [...arr]
let fullArr = [];
arr.sort((a,b) => a - b);
for (let i = arr; i <= arr; i++) {
fullArr.push(i);
}
let sum = fullArr.reduce((acc, currVal) => {return acc + currVal}, 0);
return sum;
}

const arr = [5, 0]
sumAll(arr)  // 15
arr // [ 5, 0 ]


And, my trials here:

const sumAll = ([a, b]) =>
closedRange(a, b)
.reduce(
(acc, e) => acc + e
, 0
)

const closedRange = (a, b) =>
a > b ? [...Array(a - b + 1).keys()]
.map(e => a - e )
: [...Array(b - a + 1).keys()]
.map( e => a + e )


Or, more simply:

const sumAll = ([a, b]) =>
(a + b) * (Math.abs(a - b) + 1) / 2


Hi Viren,

Thanks for sharing! Just want to ask why not just add numbers in for loop. Like below

  let sum = 0;
for (let i = arr; i <= arr; i++) {
sum+= i
}
return sum


Is there any problem with this method? Thanks.

No. There is no problem in your methodology. But I think you assumed that arr <= arr ? Have your read description carefully?  