Is there an easy way to find the local maxima in a 1D array?
Let's say I have an array:
[ 0,
1,
10, <- max
8, <- (ignore)
3,
0,
0,
4,
6, <- (ignore)
10, <- max
6, <- (ignore)
1,
0,
0,
1,
4, <- max
1,
0 ]
I want it to find the 10s and the 4, but ignore the 8 & 6, since those are next to 10s. Mathematically, you could just find where derivative is equal to zero if it were a function. I'm not too sure how to do this in Javascript.
This will return an array of all peaks (local maxima) in the given array of integers, taking care of the plateaus as well:
function findPeaks(arr) {
var peak;
return arr.reduce(function(peaks, val, i) {
if (arr[i+1] > arr[i]) {
peak = arr[i+1];
} else if ((arr[i+1] < arr[i]) && (typeof peak === 'number')) {
peaks.push(peak);
peak = undefined;
}
return peaks;
}, []);
}
findPeaks([1,3,2,5,3]) // -> [3, 5]
findPeaks([1,3,3,3,2]) // -> [3]
findPeaks([-1,0,0,-1,3]) // -> [0]
findPeaks([5,3,3,3,4]) // -> []
Note that the first and last elements of the array are not considered as peaks, because in the context of a mathematical function we don't know what precedes or follows them and so cannot tell if they are peaks or not.
maxes = []
for (var i = 1; i < a.length - 1; ++i) {
if (a[i-1] < a[i] && a[i] > a[i+1])
maxes.push(a[i])
}
This code finds local extrema (min and max, where first derivation is 0, and ), even if following elements will have equal values (non-unique extrema - ie. '3' is choosen from 1,1,1,3,3,3,2,2,2)
var GoAsc = false; //ascending move
var GoDesc = false; //descending move
var myInputArray = [];
var myExtremalsArray = [];
var firstDiff;
for (index = 0; index < (myArray.length - 1); index++) {
//(myArray.length - 1) is because not to exceed array boundary,
//last array element does not have any follower to test it
firstDiff = ( myArray[index] - myArray[index + 1] );
if ( firstDiff > 0 ) { GoAsc = true; }
if ( firstDiff < 0 ) { GoDesc = true; }
if ( GoAsc === true && GoDesc === true ) {
myExtremalsArray.push(myArray[index]);
GoAsc = false ;
GoDesc = false;
//if firstDiff > 0 ---> max
//if firstDiff < 0 ---> min
}
}
The two situations are when you have a peak, which is a value greater than the previous and greater than the next, and a plateau, which is a value greater than the previous and equal to the next(s) until you find the next different value which must me less.
so when found a plateau, temporary create an array from that position 'till the end, and look for the next different value (the Array.prototype.find method returns the first value that matches the condition ) and make sure it is less than the first plateau value.
this particular function will return the index of the first plateau value.
function pickPeaks(arr){
return arr.reduce( (res, val, i, self) => {
if(
// a peak when the value is greater than the previous and greater than the next
val > self[i - 1] && val > self[i + 1]
||
// a plateau when the value is greater than the previuos and equal to the next and from there the next different value is less
val > self[i - 1] && val === self[i + 1] && self.slice(i).find( item => item !== val ) < val
){
res.pos.push(i);
res.peaks.push(val);
}
return res;
}, { pos:[],peaks:[] } );
}
console.log(pickPeaks([3,2,3,6,4,1,2,3,2,1,2,3])) //{pos:[3,7],peaks:[6,3]}
console.log(pickPeaks([-1, 0, -1])) //{pos:[1],peaks:[0]}
console.log(pickPeaks([1, 2, NaN, 3, 1])) //{pos:[],peaks:[]}
console.log(pickPeaks([1, 2, 2, 2, 1])) //{pos: [1], peaks: [2]} (plateau!)
How about a simple iteration?
var indexes = [];
var values = [0,1,10,8,3,0,0,4,6,10,6,1,0,0,1,4,1,0];
for (var i=1; i<values.length-1; i++)
if (values[i] > values[i-1] && values[i] > values[i+1])
indexes.push(i);
more declarative approach:
const values = [3, 2, 3, 6, 4, 1, 2, 3, 2, 1, 2, 3];
const findPeaks = arr => arr.filter((el, index) => {
return el > arr[index - 1] && el > arr[index + 1]
});
console.log(findPeaks(values)); // => [6, 3]
A Python implementation, with a couple of points
Avoids using a reduce to make it easier to see the algorithm
First and last items are considered peaks (this can be a requirement, e.g. in interviews)
All values in the plateau are added
Can start or end on an plateau
def findPeaks(points: List[int]) -> List[int]:
peaks, peak = [], []
if points[0] >= points[1]: # handle first
peak.append(points[0])
for i in range(1, len(points)):
prv = points[i - 1]
cur = points[i]
if cur > prv: # start peak
peak = [cur]
elif cur == prv: # existing peak (plateau)
peak.append(cur)
elif cur < prv and len(peak): # end peak
peaks.extend(peak)
peak = []
if len(peak) and len(peak) != len(points): # ended on a plateau
peaks.extend(peak)
return peaks
if __name__ == "__main__":
print(findPeaks([1, 2, 3, 4, 5, 4, 3, 2, 1])) # [5]
print(findPeaks([1, 2, 1, 2, 1])) # [2, 2]
print(findPeaks([8, 1, 1, 1, 1, 1, 9])) # [0, 6]
print(findPeaks([1, 1, 1, 1, 1])) # []
print(findPeaks([1, 6, 6, 6, 1])) # [6, 6, 6]
const values = [3, 2, 3, 6, 4, 1, 2, 3, 2, 1, 2, 3];
const findMinimas = arr => arr.filter((el, index) => {
return el < arr[index - 1] && el < arr[index + 1]
});
console.log(findMinimas(values)); // => [2, 1, 1]
const findMinimumIndices = arr => arr.map((el, index) => {
return el < arr[index - 1] && el < arr[index + 1] ? index : null
}).filter(i => i != null);
console.log(findMinimumIndices(values)); // => [1, 5, 9]
Related
I want to write a function with for-loops that finds the index of the number 1 in an array and returns the difference to the index of the number 2 that is closest to number 1 (number 1 only appears once). For instance:
Input: [1, 0, 0, 0, 2, 2, 2]
Output: 4
Input: [2, 0, 0, 0, 2, 2, 1, 0, 0 ,2]
Output: 1
My try
function closest (array) {
let elem=array.findIndex(index=>index === 1)
let numberplus=0;
let numberminus=0;
for (let i=elem; i<array.length; i++){
if (array[elem+1] === 2)
{numberplus+=array[elem+1]-elem;}
break;
}
for (let i=elem; i>=0; i--) {
if (array[elem-1] ===2)
{numberminus+=array[elem-1]-elem;}
break;
}
if (numberplus < numberminus) {
return numberplus
} else {
return numberminus}
}
When invoked, the function just returns '0'. Thanks for reading!
Take the position of 1 as starting point and loop up and (if necessary) down the array:
const log = (arr, d) => console.log(`mimimal distance [${arr.join()}]: ${d}`);
const arr = [2, 0, 0, 0, 2, 2, 1, 0, 0, 2];
const arr2 = [1, 0, 0, 0, 2, 2, 2];
const arr3 = [2, 0, 1, 0, 2, 2, 2];
const arr4 = [2, 1, 0, 0, 2, 2, 2];
log(arr, clostes(arr));
log(arr2, clostes(arr2));
log(arr3, clostes(arr3));
log(arr4, clostes(arr4));
function clostes(arr) {
// determine position of 1
const indxOf1 = arr.indexOf(1);
// create array of distances
const distances = [0, 0];
// forward search
for (let i = indxOf1; i < arr.length; i += 1) {
if (arr[i] === 2) {
break;
}
distances[0] += arr[i] !== 2 ? 1 : 0;
}
// if 1 is # position 0 backwards search
// is not necessary and minimum equals the
// already found maximum
if (indxOf1 < 1) {
distances[1] = distances[0];
return Math.min.apply(null, distances);
}
// backwards search
for (let i = indxOf1; i >= 0; i -= 1) {
if (arr[i] === 2) {
break;
}
distances[1] += arr[i] !== 2 ? 1 : 0;
}
return Math.min.apply(null, distances);
}
Something like this will do the job. You could make the code shorter but I've tried to make it clear. Once we find 1, start at that index and keep checking adjacent indices. We also do bounds checking to ensure we don't overflow either end.
function closest(arr) {
const index = arr.findIndex(n => n === 1);
const len = arr.length;
let offset = 1;
while (true) {
const before = index - offset;
const after = index + offset;
const beforeBad = before < 0;
const afterBad = after >= len;
// It's necessary to check both, we could exceed the bounds on one side but not the other.
if (beforeBad && afterBad) {
break;
}
if ((!beforeBad && arr[before] === 2) || (!afterBad && arr[after] === 2)) {
return offset;
}
++offset;
}
return -1;
}
You could approach this using entries and reduce.
const arr = [2, 0, 0, 0, 2, 2, 1, 0, 0 ,2];
const goal = arr.indexOf(1);
const indices = [];
// Find all the indices of 2 in the array
for (let x of arr.entries()) {
if (x[1] === 2) indices.push(x[0]) ;
}
// Find the index that is closest to your goal
const nearestIndex = indices.reduce((prev, curr) => {
return (Math.abs(curr - goal) < Math.abs(prev - goal) ? curr : prev);
}); // 5
console.log(Math.abs(goal - nearestIndex)); // 1
How about this:
Output = Input.map((cur,idx,arr)=>cur==2?Math.abs(idx-arr.indexOf(1)):Infinity).sort()[0]
You could avoid for loops here in favor of a more functional style. The function minDist takes m, n, and array as arguments, and returns the minimum distance between the first occurrence of m and any occurrence of n in an array.
First, map is used to create an array with pairs for each element containing the distance to the target m element and the value of the current element. Then filter is used to keep only the pairs representing n elements. Then sort is used so that the pairs representing the closest elements are at the beginning of the array. Finally, the [0] pair of the sorted array represents the closest element, and the [0] element of this closest pair is the minimum distance.
function minDist(m, n, array) {
let index = array.indexOf(m);
return array
.map((x, i) => [Math.abs(i - index), x])
.filter(p => p[1] === n)
.sort()[0][0];
}
console.log(minDist(1, 2, [1, 0, 0, 0, 2, 2, 2]));
console.log(minDist(1, 2, [2, 0, 0, 0, 2, 2, 1, 0, 0, 2]));
I have an array with numbers. Need to find how many elements from the beginning of the array must be added to get a total of more than 10. In the code I have to use reduce
let arr = [2, 3, 1, 0, 4, 5, 4];
The console in this case must display the number 6.
My code didn't work:
let arr = [2, 3, 1, 0, 4, 5, 4];
let sumNumber = arr.reduce((sum, elem, index) => {
let ourSum = 0;
while (ourSum <= 10) {
return sum + elem;
}
index++
}, 0)
console.log(sumNumber);
You could find the index and add one.
This iteration stops if the comparison is true.
let array = [2, 3, 1, 0, 4, 5, 4],
index = array.find((sum => value => (sum += value) > 10)(0));
console.log(index + 1);
let arr = [2, 3, 1, 0, 4, 5, 4];
// i is to store the element count at which it gets greater than 10
let i=0;
let sumNumber = arr.reduce((sum, elem, index) => {
// Checks if sum is greater than 10 yet?
if(sum>=10){
// this condn below will only evaluate once when for the
// first time the sum is greater than or equal to 10
if(i===0) i=index+1;
}
// updates the sum for every loop run
return sum+elem;
});
console.log("Element count for which sum is greater than equal to 10 is:",i);
This is one solution:
const arr = [2, 3, 1, 0, 4, 5, 4]
const sumNumber = arr.reduce(
(acc, cur, index) => {
if (typeof acc === 'number') { // If the accumulator is a number...
return acc // Just return it
}
const sum = acc.sum + cur
if (sum > 10) { // If sum is greater than 10...
return index + 1 // ...return a number
}
return { sum } // Return an object with sum with the new value
},
{ sum: 0 } // Start with an object with the `sum` property of 0
)
console.log(sumNumber)
You can do this with some method, you do not have to loop through the rest of the elements when condition is achived.
var arr = [2, 3, 1, 0, 4, 5, 4];
var obj = {sum : 0, index : 0 };
arr.some((k,i)=>{
obj.sum+=k;
if(obj.sum > 10) {
obj.index = i+1;
return true
}
});
console.log(obj)
This question already has answers here:
Check if an array is descending, ascending or not sorted?
(10 answers)
Check if array values are ascending or descending
(1 answer)
Closed 4 years ago.
I need to create a program that checks the list in the array is sorted. I have three input data:
1,2,3,4,5
1,2,8,9,9
1,2,2,3,2
So here is my code:
let sorts = +gets(); // 3
let list = [];
for (let i = 0; i < sorts; i++) {
list[i] = gets().split(',').map(Number); // The Array will be: [ [ 1, 2, 3, 4, 5 ], [ 1, 2, 8, 9, 9 ], [ 1, 2, 2, 3, 2 ] ]
}
for (let i = 0; i < list[i][i].length; i++){
if (list[i][i] < list[i][i +1]) {
print('true');
} else {
print('false');
}
}
I need to print for all lists on new line true or false. For this example my output needs to be:
true
true
false
I have no idea how to resolve this.
You can use array#every to check if each value is greater than the previous value.
const isSorted = arr => arr.every((v,i,a) => !i || a[i-1] <= v);
console.log(isSorted([1,2,3,4,5]));
console.log(isSorted([1,2,8,9,9]));
console.log(isSorted([1,2,2,3,2]));
How about something like this:
!![1,2,3,4,5].reduce((n, item) => n !== false && item >= n && item)
// true
!![1,2,8,9,9].reduce((n, item) => n !== false && item >= n && item)
// true
!![1,2,2,3,2].reduce((n, item) => n !== false && item >= n && item)
// false
Reduce will literally reduce the array down to a single value - a boolean in our case.
Here, we are calling a function per iteration, the (n, item) is our function signature, it's body being n !== false && item >- n && item - we are making sure that n exists (n is our accumulator - read up!), testing if item is greater than n, and making sure item exists.
This happens for every element in your array. We then use !! to force the result into a tru boolean.
Simply try this way by using slice method : It will check if previous element is less than the next element.If the condition is true for every element then it will return true else false
arr.slice(1).every((item, i) => arr[i] <= item);
Checkout this below sample as Demo
var arr = [[1,2,3,4,5],[1,2,8,9,9],[1,2,2,3,2],[0,1,2,3,4,5]];
function isArrayIsSorted (arr) {
return arr.slice(1).every((item, i) => arr[i] <= item)
}
var result= [];
for (var i = 0; i < arr.length; i++){
result.push(isArrayIsSorted(arr[i]))
}
console.log(result);
Sorted Number Lists
Including Negative Numbers, Zeros, and Adjacent Duplicates
Use every() method which will return true should all of the numbers be in order otherwise it will return false. The conditions are as follows:
(num <= arr[idx + 1]) || (idx === arr.length - 1)
if the current number is less than or equal to the next number...
OR...
if the current index is equal to the last index...
return 1 (truthy)
Demo
var arr0 = [1, 2, 3, 4, 5];
var arr1 = [1, 2, 8, 9, 9];
var arr2 = [1, 2, 2, 3, 2];
var arr3 = [0, 0, 0, 1, 3];
var arr4 = [-3, 0, 1, 3, 3];
var arr5 = [-4, -2, 0, 0, -4];
function sorted(array) {
return array.every(function(num, idx, arr) {
return (num <= arr[idx + 1]) || (idx === arr.length - 1) ? 1 : 0;
});
}
console.log(arr0 +' | '+sorted(arr0));
console.log(arr1 +' | '+sorted(arr1));
console.log(arr2 +' | '+sorted(arr2));
console.log(arr3 +' | '+sorted(arr3));
console.log(arr4 +' | '+sorted(arr4));
console.log(arr5 +' | '+sorted(arr5));
var str = ["1,2,3,4,5", "1,2,8,9,9", "1,2,2,3,2"];
for (var i in str){
var list = str[i].split(',').map(Number);
console.log(list);
var isSorted = true;
for(var j = 0 ; j < list.length - 1 ; j++){
if(list[j] > list[j+1]) {
isSorted = false;
break;
}
}
console.log(isSorted);
}
Maybe you can use this helping method that checks if is sorted correctly:
var arr1 = [1, 2, 3, 4, 4];
var arr2 = [3, 2, 1];
console.log(checkList(arr1));
console.log(checkList(arr2));
function checkList(arr) {
for (var i = 0; i < arr.length; i++) {
if (arr[i + 1]) {
if (arr[i] > arr[i + 1]) {
return false;
}
}
}
return true;
}
There are plenty of ways how to do that. Here is mine
const isArraySorted = array =>
array
.slice(0) // clone array
.sort((a, b) => a - b) // sort it
.every((el, i) => el === array[i]) // compare with initial value)
You can check if stringified sorted copy of original array has same value as the original one. Might not be the most cool or performant one, but I like it's simplicity and clarity.
const arraysToCheck = [
[1, 2, 3, 4, 5],
[1, 2, 8, 9, 9],
[1, 2, 2, 3, 2]
]
const isSorted = arraysToCheck.map(
item => JSON.stringify([...item].sort((a, b) => a - b)) === JSON.stringify(item)
);
console.log(isSorted);
If i get what you mean, you want to know if an array is sorted or not. This is an example of such a solution, try it. I pasted some codes below.
var myArray=[1,4,3,6];
if(isSorted(myArray)){
console.log("List is sorted");
}else{
console.log("List is not sorted");
}
function isSorted(X){
var sorted=false;
for(var i=0;i<X.length;i++){
var next=i+1;
if (next<=X.length-1){
if(X[i]>X[next]){
sorted=false;
break;
}else{
sorted=true;
}
}
}
return sorted;
}
Question has been moved to CodeReview: https://codereview.stackexchange.com/questions/154804/find-a-list-of-objects-in-an-array-with-javascript
Having an array of objects - such as numbers - what would be the most optimal (Memory and CPU efficiency) way if finding a sub group of objects? As an example:
demoArray = [1,2,3,4,5,6,7]
Finding [3,4,5] would return 2, while looking for 60 would return -1.
The function must allow for wrapping, so finding [6,7,1,2] would return 5
I have a current working solution, but I'd like to know if it could be optimized in any way.
var arr = [
1,
5,2,6,8,2,
3,4,3,10,9,
1,5,7,10,3,
5,6,2,3,8,
9,1]
var idx = -1
var group = []
var groupSize = 0
function findIndexOfGroup(g){
group = g
groupSize = g.length
var beginIndex = -2
while(beginIndex === -2){
beginIndex = get()
}
return beginIndex
}
function get(){
idx = arr.indexOf(group[0], idx+1);
if(idx === -1 || groupSize === 1){
return idx;
}
var prevIdx = idx
for(var i = 1; i < groupSize; i++){
idx++
if(arr[getIdx(idx)] !== group[i]){
idx = prevIdx
break
}
if(i === groupSize - 1){
return idx - groupSize + 1
}
}
return -2
}
function getIdx(idx){
if(idx >= arr.length){
return idx - arr.length
}
return idx
}
console.log(findIndexOfGroup([4,3,10])) // Normal
console.log(findIndexOfGroup([9,1,1,5])) // Wrapping
You could use the reminder operator % for keeping the index in the range of the array with a check for each element of the search array with Array#every.
function find(search, array) {
var index = array.indexOf(search[0]);
while (index !== -1) {
if (search.every(function (a, i) { return a === array[(index + i) % array.length]; })) {
return index;
}
index = array.indexOf(search[0], index + 1);
}
return -1;
}
console.log(find([3, 4, 5], [1, 2, 3, 4, 5, 6, 7])); // 2
console.log(find([6, 7, 1, 2], [1, 2, 3, 4, 5, 6, 7])); // 5
console.log(find([60], [1, 2, 3, 4, 5, 6, 7])); // -1
console.log(find([3, 4, 5], [1, 2, 3, 4, 6, 7, 3, 4, 5, 9])); // 6
.as-console-wrapper { max-height: 100% !important; top: 0; }
My take on the problem is to use slice() and compare each subarray of length equal to the group's length to the actual group array. Might take a bit long, but the code is short enough:
// The array to run the tests on
var arr = [
1,
5, 2, 6, 8, 2,
3, 4, 3, 10, 9,
1, 5, 7, 10, 3,
5, 6, 2, 3, 8,
9, 1
];
// Check arrays for equality, provided that both arrays are of the same length
function arraysEqual(array1, array2) {
for (var i = array1.length; i--;) {
if (array1[i] !== array2[i])
return false;
}
return true;
}
// Returns the first index of a subarray matching the given group of objects
function findIndexOfGroup(array, group) {
// Get the length of both arrays
var arrayLength = array.length;
var groupLength = group.length;
// Extend array to check for wrapping
array = array.concat(array);
var i = 0;
// Loop, slice, test, return if found
while (i < arrayLength) {
if (arraysEqual(array.slice(i, i + groupLength), group))
return i;
i++;
}
// No index found
return -1;
}
// Tests
console.log(findIndexOfGroup(arr,[4,3,10])); // Normal
console.log(findIndexOfGroup(arr,[9,1,1,5])); // Wrapping
console.log(findIndexOfGroup(arr,[9,2,1,5])); // Not found
If the group is longer than the array, some errors might occur, but I leave it up to you to extend the method to deal with such situations.
My problem is I can't console.log the repeating after another same numbers in the array. I can find which number how many times appears with this code:
var array = [2, 1, 1, 2, 3, 3, 2, 2, 2, 1],
currentNum = 1,
counter = 0,
item;
for (var i = 0; i < array.length; i++) {
for (var j = i; j < array.length; j++) {
if (array[i] == array[j])
counter++;
if (currentNum < counter) {
currentNum = counter;
item = array[i];
}
}
counter = 0;
}
console.log(item + " ( " + currentNum + " times ) ");
But my real issue is that I want to log the 2, 2, 2 part and I don't know how.
Thank you guys very much in advance!
Following will find the first instance of longest (assuming more than one same length sequence)
The first reduce() creates subarrays for each sequence, the second reduce() checks lengths of those sub arrays returning the first instance of longest sequence
var array = [2, 1, 1, 2, 3, 3, 2, 2, 2, 1];
var res = array.reduce(function(a,c,i){
if(a.length && a[a.length-1][0] ===c){
a[a.length-1].push(c)
}else{
a.push([c]);
}
return a
},[]).reduce(function(a,c){
return c.length > a.length ? c : a;
});
console.log('Sequence length=',res.length);
console.log('Value=', res[0]);
If you expect multiple same length sequences and want to capture all the values that match can modify second reduce something like:
var array = [2, 1, 1, 2, 3, 3, 2, 2, 2, 1, 2, 2, 2, 7, 7, 7];
var res = array.reduce(function(a,c,i){
if(a.length && a[a.length-1][0] ===c){
a[a.length-1].push(c)
}else{
a.push([c]);
}
return a
},[]).reduce(function(a,c){
if(c.length > a.len){
// reset when longer sequence found
a.values = [c[0]];
a.len = c.length;
} else if(c.length === a.len){
// add new value when same length found
a.values.push(c[0]);
}
return a
},{len:0,values:[]});
console.log('Sequence length=', res.len)
console.log('How many times=', res.values.length)
console.log('Values = ', res.values.join() )
Array.prototype.forEach or reduce is better for iteration through an array.
Here is a solution with a single going through array (just 3 additional variables :) )
var array = [2, 1, 1, 2, 3, 3, 2, 2, 2, 1]
var item = array[0], maxTimes = 1, currentTimes = 1
array.reduce(function(prev, current) {
if (prev === current) {
currentTimes = currentTimes + 1
if (currentTimes > maxTimes) {
maxTimes = currentTimes
item = current
}
} else {
currentTimes = 1
}
return current
})
console.log(item, maxTimes)
You could use Array#reduce with an object which holds the temporary result and the actual count of the item.
If an item is equal to the last item, last count is incremented and checked if the count is greater than the temporary count. Then the temporary count is replaced by the actual count.
var array = [2, 1, 1, 2, 3, 3, 2, 2, 2, 1],
count = array.reduce(function (r, a, i, aa) {
if (a === aa[i - 1]) {
r.last.count++;
if (!(r.last.count <= r.result.count)) {
r.result = r.last;
}
} else {
r.last = { value: a, count: 1 };
}
return r;
}, { last: {}, result: {} }).result;
console.log(count);
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