JavaScript increase numbers in an array

We are dealing with a numerical array where each element has its maximum value. How can we update the elements in order for the array to transition from [0, 0, 0] to [x, y, z]?

For example, if the maximum array values are [2, 1, 2] and the initial array is set at [0, 0, 0], the updating process will go through these steps:

[0, 0, 0]
[1, 0, 0]
[2, 0, 0]
[0, 1, 0]
[1, 1, 0]
[2, 1, 0]
[0, 0, 1]
[1, 0, 1]
[2, 0, 1]
[0, 1, 1]
[1, 1, 1]
[2, 1, 1]
[0, 0, 2]
[1, 0, 2]
[2, 0, 2]
[0, 1, 2]
[1, 1, 2]
[2, 1, 2]

I have created a function that halts the updating process when it reaches a maximum of 1. Here is the code snippet:

var maxes = [2, 1, 2];
var myArray = [0, 0, 0];

function step() {
  for(var i = 0; i < myArray.length; i++) {
    if(myArray[i] == maxes[i]) {
       continue;
    } else {
       myArray[i] = myArray[i] + 1;
       return;
    }
  }
  return false;
}

for(j = 0; j < 100; j++) {
  result = step();
  if(!result) break;
  console.log(result);
}

Answer №1

Full disclosure: This question is from my personal experience. I wasn't able to access my significant other's or email account, so I created a new account for a friend to post this question. I will not be upvoting the question or selecting my friend's answer as the best. However, after working on the issue, I was able to come up with a solution using the following code:

var maxes = [4,1,2,3];
var pattern = [0,0,0,0];

function step() {
  var t = false;
  for(var k = 0; k < pattern.length; k++) {
    t = t || (pattern[k] < maxes[k]);
  }
  if(!t) return false;
  for(k = 0; k < pattern.length; k++) {
    if(pattern[k] < maxes[k]) {
      pattern[k]++;
      return true;
    } else {
      pattern[k] = 0;
      continue;
    }
    return false;
  }
}

console.log(pattern);
var r = true;
while(r) {
  r = step();
  console.log(pattern);
}

View the code on JSBin here.

Answer №2

To achieve this, you should utilize two separate loops - one dedicated to each maximum value element. Currently, there are four elements, but it is unclear if you intend to make them dynamic. The second loop will continuously increase the values of each element until it reaches its maximum limit specified in the maximum value.

Answer №3

You're almost there, just a few bugs to fix:

const targets = [4, 2, 3, 1];
let numbers = [0, 0, 0, 0];

function iterate() {
  let hasChanged = false;
  for(let index = 0; index < numbers.length; index++) {
    if(numbers[index] === targets[index]) {
       continue;
    } else {
       numbers[index] += 1;
       hasChanged = true;
    }
  }
  return hasChanged;
}

for(let counter = 0; counter < 200; counter++) {
  result = iterate();
  if(!result) break;
  console.log(numbers.join(", "));
}

Answer №4

A few days back, I came back to this particular issue and decided to do some code refactoring.

To fully grasp the problem at hand, it's like counting in a combination-base number system. Each position or digit has a different maximum value assigned. If all the max values are 2, then it's similar to base-2 counting. However, the twist here is that each position can have a unique maximum value, forming a hybrid base system.

The crux of the matter lies in a fairly straightforward function:

// increment in hyper system
function incr(maxes,num,digit) {
  num[digit] = num[digit] + 1;
  num[digit] = num[digit] % (maxes[digit]+1);
  if(num[digit] === 0) incr(maxes,num,digit+1);
}

For a demonstration, check out this live example on jsbin.

Answer №5

Enhancing the efficiency of this algorithm is simple: create a variable pos to keep track of the current position in the array. If the value at the current position has reached its maximum, move on to the next position; otherwise, increment the value at the current position. Repeat this process until pos reaches the last value and that value is at its maximum.

var maxValues = [3, 1, 2, 1];
var myArray = [0, 0, 0, 0];
var pos = 0;

while (pos < myArray.length - 1 || myArray[pos] < maxValues[pos]) {
    if (myArray[pos] >= maxValues[pos]) {
        myArray[pos] = 0;
        pos++;
        continue;
    } 
    myArray[pos]++;

    // Place additional code here for further steps
}

This method can be applied to arrays of any size. For a demonstration, refer to this jsfiddle link

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