Guide to making a matrix as outlined in the instructions

Question

Guide to making a matrix as outlined in the instructions

Is there an algorithm to create a matrix with the following output format?
1, 3, 5, 7, 9
2, 4, 6, 8, 10
11, 13, 15, 17, 19
20, 22, 24, 26, 28
I'm particularly interested in a JavaScript solution, but what I need most is the algorithm itself.
Thank you.
I attempted this approach:

let arr = [];

for(let i = 0; i < 2; i++){
  arr[i] = []
  for(let j = 0; j < 5; j++){
    if(j % 2 ==0){
      arr[j] = i
    }
  }
}

console.log(arr)

javascript arrays algorithm

Answer 1

Answer №1

Upon observation, it is evident that a common digit 2 is added each time once the starting point is fixed. I have identified two starting points: one at even at 2 and another at odd at 1. In every iteration, both values are incremented by 2 and appended to the final output after adding them to the respective arrays (evenArray and

oddArray).</p>

<p>It is important to remember to <code>reset

the evenArray and oddArray after each inner loop iteration.

let even = 2;
let odd = 1;
let arr = [];

for(let i = 0; i < 2; i++){
  let evenArr = []
  let oddArr = []
  for(let j = 0; j < 5; j++){
    evenArr[j] = even;
    oddArr[j] = odd;
    even +=2;
    odd +=2;
  }
  even = (even-2) * 2;  
  arr.push(oddArr.join(' '),evenArr.join(' '))
}

console.log(arr)

Answer 2

Upon observation, it is evident that a common digit 2 is added each time once the starting point is fixed. I have identified two starting points: one at even at 2 and another at odd at 1. In every iteration, both values are incremented by 2 and appended to the final output after adding them to the respective arrays (evenArray and

oddArray).</p>

<p>It is important to remember to <code>reset

the evenArray and oddArray after each inner loop iteration.

let even = 2;
let odd = 1;
let arr = [];

for(let i = 0; i < 2; i++){
  let evenArr = []
  let oddArr = []
  for(let j = 0; j < 5; j++){
    evenArr[j] = even;
    oddArr[j] = odd;
    even +=2;
    odd +=2;
  }
  even = (even-2) * 2;  
  arr.push(oddArr.join(' '),evenArr.join(' '))
}

console.log(arr)

Answer 3

Answer №2

Begin by understanding the building rule

                          row   start  comment
---- ---- ---- ---- ---- ------ ------ -------------------
  1    3    5    7    9   odd      1
  2    4    6    8   10   even     2
 11   13   15   17   19   odd     10   requires adjustment
 20   22   24   26   28   even    20

Next, form an array with the specified rows and populate it with values. Alternate the starting value for each line between 2 and 5, based on the index of the row.

For each row, take the initial value, make adjustments for numbers that are not even or odd, and then add double the inner index.

var array = Array.from(
        { length: 4 },
        (start => (_, i) => Array.from(
            { length: 5 },
            (v => (_, j) => v + (v % 2 === i % 2) + j * 2)
            (start *= (i % 2 ? 2 : 5))
        ))
        (0.2)
    );

console.log(array.map(a => a.join(' ')));

.as-console-wrapper { max-height: 100% !important; top: 0; }

Answer 4

Begin by understanding the building rule

                          row   start  comment
---- ---- ---- ---- ---- ------ ------ -------------------
  1    3    5    7    9   odd      1
  2    4    6    8   10   even     2
 11   13   15   17   19   odd     10   requires adjustment
 20   22   24   26   28   even    20

Next, form an array with the specified rows and populate it with values. Alternate the starting value for each line between 2 and 5, based on the index of the row.

For each row, take the initial value, make adjustments for numbers that are not even or odd, and then add double the inner index.

var array = Array.from(
        { length: 4 },
        (start => (_, i) => Array.from(
            { length: 5 },
            (v => (_, j) => v + (v % 2 === i % 2) + j * 2)
            (start *= (i % 2 ? 2 : 5))
        ))
        (0.2)
    );

console.log(array.map(a => a.join(' ')));

.as-console-wrapper { max-height: 100% !important; top: 0; }

Guide to making a matrix as outlined in the instructions

Answer №1

Answer №2

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