We will use JavaScript to form the coils in the matrix. The process involves manipulating elements of a matrix to create spiral patterns. This can be accomplished by changing the traversal direction, keeping track of the elements visited, and adjusting the index accordingly. We will continually work on the logic to ensure that the program runs smoothly and efficiently to produce the required output.
method
One way to form coils in a matrix using JavaScript is as follows -
Define the size of the matrix.
Initialize the matrix with zeros.
Use nested loops to iterate through the matrix and change the value of a specific cell based on the pattern of the coil.
Track the traversal direction (right, down, left, up) and change the direction as needed.
Use another loop to print the matrix.
Repeat the process to form multiple coils if needed.
Example
Here is an example of how to implement a function in JavaScript to form a coil in a matrix -
function formCoils(matrix) { let row = 0, col = 0, direction = 'down'; for (let i = 0; i < matrix.length * matrix[0].length; i++) { matrix[row][col] = i + 1; if (direction === 'down') { if (row === matrix.length - 1 || matrix[row + 1][col] !== 0) { direction = 'right'; col++; } else { row++; } } else if (direction === 'right') { if (col === matrix[0].length - 1 || matrix[row][col + 1] !== 0) { direction = 'up'; row--; } else { col++; } } else if (direction === 'up') { if (row === 0 || matrix[row - 1][col] !== 0) { direction = 'left'; col--; } else { row--; } } else if (direction === 'left') { if (col === 0 || matrix[row][col - 1] !== 0) { direction = 'down'; row++; } else { col--; } } } return matrix; } const matrix = [[0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0]]; console.log(formCoils(matrix));
formCoilsThe function accepts a matrix and returns the same matrix with the numbers forming the coil shape starting from the upper left corner.
This function uses the variable direction to keep track of the direction in which numbers should be filled into the matrix. It starts with direction set to "Down" and updates the direction based on the current position of the matrix and whether the next position is filled or not . That number is then placed at the current location and the row and column variables are updated accordingly.
Repeat this process until every position in the matrix is filled with numbers.
Usage example -
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