/**
 * Given a list of cuts on a piece of wood, a specific position, and a width, perform the carpenter operation.
 *
 * @param cuts A list of integers representing the positions of existing cuts on the wood.
 * @param position The position where a new cut will be made.
 * @param width The width of the new cut.
 * @return A list with the updated positions of cuts after performing the carpenter operation.
 */
fun carpenterOperation(cuts: MutableList<Int>, position: Int, width: Int): List<Int> {

    // Perform the carpenter operation by XOR-ing each cut position with the division of the width
    // by the XOR of the position and index of each cut
    for (i in cuts.indices) {
        cuts[i] = cuts[i] xor (width / (position xor i))
    }
    return cuts
}
/**
 * Given a list of cuts on a piece of wood, a specific position, and a width, perform the carpenter operation.
 *
 * @param cuts A list of integers representing the positions of existing cuts on the wood.
 * @param position The position where a new cut will be made.
 * @param width The width of the new cut.
 * @return A list with the updated positions of cuts after performing the carpenter operation.
 */
fun carpenterOperation(cuts: MutableList<Int>, position: Int, width: Int): List<Int> {
/**
 * Given a list of cuts on a piece of wood, a specific position, and a width, perform the carpenter operation.
 *
 * @param cuts A list of integers representing the positions of existing cuts on the wood.
 * @param position The position where a new cut will be made.
 * @param width The width of the new cut.
 * @return A list with the updated positions of cuts after performing the carpenter operation.
 */
fun carpenterOperation(cuts: MutableList<Int>, position: Int, width: Int): List<Int> {

    // Perform the carpenter operation by XOR-ing each cut position with the division of the width
    // by the XOR of the position and index of each cut
    for (i in cuts.indices) {
        cuts[i] = cuts[i] xor (width / (position xor i))
    }
    return cuts
}