Group numbers in array where the sum is closest to X - javascript

I have a group of numbers:
const numbers = [ 4, 6, 2, 1, 5, 3, 6, 11 ]
And I would like to return these numbers in groups where the sum is closest to x. For example if x was 13, the expected output would be:
// console.log(result)
[ 2, 11 ] // sum is 13
[ 3, 4, 5 ] // sum is 12
[ 1, 6, 6 ] // sum is 13
All numbers must be used. "Closest" being below the number (not above 13), so the above example would be acceptable but if the sum was 14 it would not be. This should find the best results (closest to 13) and remove each number from the pool of options in the array when it has been grouped.
How would I approach this?

How about something like this?
const x = 13;
const result = [];
let numbers = [4, 6, 2, 1, 5, 3, 6, 11];
let i = numbers.length;
while (--i > -1) {
const length = result.length;
let target = x - numbers[i];
let a = numbers.length - 1;
while (target > 0) {
if (numbers[--a] !== target) {
if (a === -1) {
a = numbers.length - 1;
target--;
}
continue;
}
result[length] ??= [];
result[length].push(numbers[a]);
target = x - numbers[i];
for (const entry of result[length]) {
target -= entry;
}
numbers = [...numbers.slice(0, a), ...numbers.slice(a + 1)];
a = numbers.length - 1;
}
if (!result[length]) {
continue;
}
result[length].push(numbers[numbers.length - 1]);
numbers = numbers.slice(0, -1);
i = numbers.length;
}
console.log(result);
It's kinda crude though.

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 );

Find the smallest missing positive int in array in js

How do I find the smallest missing positive integer from an array of integers in js? I didn't find an answer to my question, all I found was in other languages.
Here's an example array:
[-2, 6, 4, 5, 7, -1, 1, 3, 6, -2, 9, 10, 2, 2]
The result should be 8.
You could take an object of seen values and a min variable for keeping track of the next minimum value.
const
data = [-2, 6, 4, 5, 7, -1, 1, 3, 6, -2, 9, 10, 2, 2],
ref = {};
let min = 1;
for (const value of data) {
if (value < min) continue;
ref[value] = true;
while (ref[min]) min++;
}
console.log(min);
You could create an array of positive integer (in this example integers has values from 0 to 10), then use Math.min on integers array filtered with initial array (that was filtered taking only positive numbers):
let integers = Array.from(Array(11).keys());
let arr = [-2, 6, 4, 5, 7, -1, 1, 3, 6, -2, 9, 10, 2, 2];
console.log(Math.min(...integers.filter(x => x > 0 && !arr.filter(x => x > 0).includes(x))));
You can do like below to avoid multiple loops.
Simplest solution is when numbers from 1-10, sum of all number will 55 using this formula (n * (n + 1)) / 2;.
the missing number will be 55-(sum of remaining numbers).
const list = [-2, 6, 4, 5, 7, -1, 1, 3, 6, -2, 9, 10, 2, 2];
const missing = (list) => {
let sum = 0;
let max = 0;
let ref = {};
for (let i = 0; i < list.length; i++) {
const ele = list[i];
if (ele > 0 && !ref[ele]) {
ref[ele] = true;
max = max < ele ? ele : max;
sum += ele;
}
}
const total = (max * (max + 1)) / 2;
return total - sum; // will work if only one missing number
// if multiple missing numbers and find smallest one
// let result = 0;
// for (let i = 1; i <= total - sum; i++) {
// if (!ref[i]) {
// result = i;
// break;
// }
// }
// return result;
};
console.log(missing(list));
I create function for finding the smallest positive.
arr = [-2, 6, 4, 5, 7, -1, 1, 3, 6, -2, 9, 10, 2, 2]
function getSmallestPos(arr) {
pi = [...new Set(
arr.filter(n => n > 0)
.sort((a, b) => a - b ))
];
for (i = 0; i < pi.length; i++) {
if ( pi[i] != (i+1)) {
return (i+1);
}
}
}
console.log(getSmallestPos(arr));
Your questions title contradicts the body of your answer.
To get the smallest positive integer you might try this:
const array = [-2, 6, 4, 5, 7, -1, 1, 3, 6, -2, 9, 10, 2, 2];
// filter array to get just positive values and return the minimum value
const min = Math.min(...array.filter(a => Math.sign(a) !== -1));
console.log(min);
For getting the missing value check this out:
const array = [-2, 6, 4, 5, 7, -1, 1, 3, 6, -2, 9, 10, 2, 2];
const getMissingPositiveInt = (array) => {
// filter array to get just positive values and sort from min to max (0, 1, 4, 5 ...)
const min = array.filter(a => Math.sign(a) !== -1).sort((a,b) => a-b);
for (let i=min[0]; i<array.length; i++) // loop from min over whole array
if (!min.includes(i)) // if array doesnt include index ...
return i; // ... you got your missing value and can return it
}
console.log(getMissingPositiveInt(array));

Recursion is skipping values

I'm trying to assign/place a set of numbers randomly within a new array as a pair: [1,2,3,4,5,6,7,8] should equal [[1,1],[8,8],[3,3],[7,7],[2,2],[4,4],[5,5],[6,6]]
let numbers = [1,2,3,4,5,6,7,8]
let arrayToBeFilled = [];
function assign(num) {
let randomNumber = Number(Math.floor((Math.random() * 8)));
if(arrayToBeFilled[randomNumber] == null ) {
arrayToBeFilled[randomNumber] = [num, num] ;
} else if (arrayToBeFilled[randomNumber] == Array) {
return assign(num);
} else {
console.log('Trying a new number');
}
}
for (num in numbers) {
assign(Number(num));
}
console.log(arrayToBeFilled);
return arrayToBeFilled;
Returns the array but with values missing where the recursion should have filled the array (what I'm expecting at least). See <1 empty item>.
Trying a new number
Trying a new number
Trying a new number
[ [ 0, 0 ], [ 7, 7 ], [ 5, 5 ], <1 empty item>, [ 2, 2 ], [ 1, 1 ] ]
Anyone have any idea why this is happening??
I made some edits to your code:
/* prefer functions instead of global variables */
function main() {
let numbers = [1, 2, 3, 4, 5, 6, 7, 8]
let arrayToBeFilled = [];
for (num of numbers) { /* Use 'for...of' syntax for array iteration */
assign(Number(num), arrayToBeFilled);
}
return arrayToBeFilled
}
function assign(num, arr) {
const randomNumber = Number(Math.floor((Math.random() * 8)));
if (arr[randomNumber] == null) {
arr[randomNumber] = [num, num];
} else if (Array.isArray(arr[randomNumber])) { /* Proper way to check if element is an Array type */
return assign(num, arr);
} else {
return []
}
}
console.log(main());
Here's my take. The beauty of this is of course the abstraction in form of the shuffle function which works on all arrays, and can be put away into a utility sub file.
function shuffle(a) {
// you can replace this with "let n = a" if you don't care about
// the incoming array being altered
let n = [...a];
for (let i = n.length - 1; i > 0; i--) {
const j = Math.floor(Math.random() * (i + 1));
[n[i], n[j]] = [n[j], n[i]];
}
return n;
}
let numbers = [1,2,3,4,5,6,7,8];
console.log( shuffle( numbers ).map( n => [n,n] ) );
You could create function that will randomize elements and return array of the nth length for each element using while loop.
let numbers = [1, 2, 3, 4, 5, 6, 7, 8]
function randomize(data, n) {
const result = [];
data = data.slice();
while (data.length) {
const pos = Math.floor(Math.random() * data.length);
const el = data.splice(pos, 1).pop();
result.push(Array.from(Array(n), () => el));
}
return result;
}
console.log(randomize(numbers, 2))
console.log(randomize(numbers, 4))
Try the following:
function assign(num) {
let randomNumber = Number(Math.floor((Math.random() * 8)));
if(arrayToBeFilled[randomNumber] == null ) {
arrayToBeFilled[randomNumber] = [num + 1, num + 1] ;
} else {
assign(num);
}
}
You had an else in the code which was skipping one place in the array to be filled
NON-REPEATING random numbers (https://jsfiddle.net/th3vecmg/2/)
let numbers = [1, 2, 3, 4, 5, 6, 7, 8]
let arrayToBeFilled = [];
function assign(numbers, i, size) {
if (i < size) {
assign(numbers, ++i, size);
}
var randomNumber = numbers[Math.floor(Math.random() * numbers.length)];
arrayToBeFilled.push([randomNumber, randomNumber]);
numbers.splice(numbers.indexOf(randomNumber), 1);
}
assign(numbers, 0, numbers.length - 1)
console.log(arrayToBeFilled);
REPEATING random numbers (https://jsfiddle.net/th3vecmg/3/)
let numbers = [1, 2, 3, 4, 5, 6, 7, 8]
let arrayToBeFilled = [];
function assign(numbers, i) {
let randomNumber = Number(Math.floor((Math.random() * 8)));
arrayToBeFilled[i] = [randomNumber, randomNumber];
if (i < numbers.length - 1) {
assign(numbers, ++i);
}
}
assign(numbers, 0)
console.log(arrayToBeFilled);

Sorting an increasing number in an array in Javascript

I'm running into a error in stopping the execution when a lower number occurs in the data of an array
Let seat1 = [2, 5, 6, 9, 2, 12, 18];
console should log the values till it gets to 9 since
2 < 5 < 6 < 9
then omit 2 since 9 > 2
then continue from 12 < 18.
let num = [2, 5, 6, 9, 2, 12, 18];
for (let i = 0; i < num.length; i++) {
if ((num[i] + 1) > num[i]) {
console.log(num[i])
} else {
console.log('kindly fix')
}
}
Use Array.reduce() to create a new array without the items that are not larger than the last item in the accumulator (acc) or -Infinity if it's the 1st item:
const num = [2, 5, 6, 9, 2, 3, 12, 18];
const result = num.reduce((acc, n) => {
if(n > (acc[acc.length - 1] || -Infinity)) acc.push(n);
return acc;
}, []);
console.log(result);
simple answer using if and for -
let num = [2, 5, 6, 9, 2 , 3, 12, 16, 9, 18];
let max = 0;
for (let i = 0; i < num.length; i++)
{
if ((i == 0) || (num[i] > max)) {
max = num[i];
console.log (num[i]);
}
}
You could filter the array by storing the last value who is greater than the last value.
var array = [2, 5, 6, 9, 2, 3, 12, 18],
result = array.filter((a => b => a < b && (a = b, true))(-Infinity));
console.log(result)
Store the max value and check num[i] against the current max. If num[i] is bigger, log it and set the new max value. Initial max value should be first num value but smaller so it doesn't fail on the first check.
let num = [2, 5, 6, 9, 2, 12, 18];
let max = num[0] - 1;
for (let i = 0; i < num.length; i++) {
if (num[i] > max) {
console.log(num[i]);
max = num[i];
}
}
let num = [2, 5, 6, 9, 2, 12, 18];
let result = num.sort((a, b) => a - b).filter((elem, pos, arr) => {
return arr.indexOf(elem) == pos;
})
console.log(result)

Find missing item from 1..N items array

I was asked to find the missing number from 1..N array.
For instance, for array: let numArr = [2,4,6,8,3,5,1,9,10]; the missing number is 7
let numArr=[2,4,6,8,3,5,1,9,10];
numArr.sort(function(a,b){ //sort numArr
return a-b;
});
let newNumArr=[];
for(let i=1;i<=10;i++){
newNumArr.push(i);
}
for(let i=0;i<newNumArr.length;i++){ //compare with new arr
if(newNumArr[i] !== numArr[i]){
console.log('The missing num is:'+newNumArr[i]); //The missing num is:7
break;
}
}
You can use MAP and FILTER to find out the missing number in seperate array
const numArr = [2, 4, 6, 8, 3, 5, 1, 9, 10];
const missingNumberArray = [1, 2, 3, 4, 5, 6, 7, 8, 9, 10].map(number => {
if (!numArr.includes(number)) {
return number;
}
}).filter(y => y !== undefined);
You can use the simple logic of sum of consecutive n numbers is n*(n+1)/2. Subtracting the sum of array numbers from above will give the missing number
let numArr=[2,4,6,8,3,5,1,9,10];
var sum = numArr.reduce((a,c) => a+c, 0);
// As the array contains n-1 numbers, here n will be numArr.length + 1
console.log(((numArr.length + 1) * (numArr.length + 2))/2 - sum);
It would be easier to use .find:
function findMissing(input) {
input.sort((a, b) => a - b);
const first = input[0];
return input.find((num, i) => first + i !== num) - 1;
}
console.log(findMissing([2, 4, 6, 8, 3, 5, 1, 9, 10]));
console.log(findMissing([3, 4, 5, 6, 8, 9, 2]));
(note that this also works for finding missing values from arrays that don't start at 1)
You can use XOR features.
XOR all the array elements, let the result of XOR be arr_xor.
XOR all numbers from 1 to n, let XOR be interval_xor .
XOR of arr_xor and interval_xor gives the missing number.
let numArr=[2,4,6,8,3,5,1,9,10];
function getMissingNo(arr){
arr = arr.sort()
n = arr.length
arr_xor = arr[0]
interval_xor = 1
for(i = 0; i < n; i++)
arr_xor ^= arr[i]
for( i = 0; i<n + 2; i++)
interval_xor ^= i
return arr_xor ^ interval_xor
}
console.log(getMissingNo(numArr));

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