Reveal Cards In Increasing Order

class Solution {
public:
    vector<int> revealIncreasingOrder(vector<int>& cards) {
        int cardCount = cards.size();
        queue<int> indexQueue;

        for (int idx = 0; idx < cardCount; idx++) {
            indexQueue.push(idx);
        }
        
        sort(cards.begin(), cards.end());

        vector<int> ordered(cardCount);
        for (int j = 0; j < cardCount; j++) {
            ordered[indexQueue.front()] = cards[j];
            indexQueue.pop();

            if (!indexQueue.empty()) {
                indexQueue.push(indexQueue.front());
                indexQueue.pop();
            }
        }
        return ordered;
    }
};

The provided C++ solution simulates the process of revealing cards in increasing order based on the given sequence. The function revealIncreasingOrder accomplishes the task using the following approach:

• First, retrieve the total number of cards using cards.size() and initialize a queue to hold card indices for processing.
• Populate the queue sequentially with indices from 0 to cardCount - 1.
• Sort the cards vector in ascending order to prepare for the correct order of revelation.

In the main processing loop:

• Allocate a new vector ordered to store the cards in the desired output order.
• For each card in the sorted vector:
  1. Place the current smallest card in the position indicated by the front of the queue.
  2. Remove that index from the queue.
  3. To simulate the process described in the problem (reveal one card and hide the next one), push the next index in the queue to the back and then remove it from the front.

This approach ensures that the cards are revealed in a manner that sorts the results as if they were randomly positioned and then organized in increasing order after several moves. The function finally returns the correctly ordered vector.

The use of a queue to manipulate indices is crucial here, as it mimics the dynamic changes in positions during the reveal process, effectively replicating the stated problem's conditions without manipulating the card array directly more than necessary.

class Solution {
    public int[] revealDeckInOrder(int[] deck) {
        int deckSize = deck.length;
        Queue<Integer> indexQueue = new LinkedList<>();

        for (int idx = 0; idx < deckSize; idx++) {
            indexQueue.add(idx);
        }
        
        Arrays.sort(deck);

        int[] orderedDeck = new int[deckSize];
        for (int idx = 0; idx < deckSize; idx++) {
            orderedDeck[indexQueue.poll()] = deck[idx];
            indexQueue.add(indexQueue.poll());
        }
        return orderedDeck;
    }
}

To simulate the process of revealing cards in increasing order from a deck, the given Java solution employs an array sort method combined with queue operations. Follow this structured approach to understand the logic effectively:

1. Begin by obtaining the size of the provided deck array and initializing a Queue to hold indices of the deck. This queue plays a critical role in determining the order of revealing cards.

2. Populate the queue with sequential indices, starting from 0 up to deck.length - 1. These indices represent positions in the deck array where sorted values will be placed.

3. Sort the deck array in ascending order using Arrays.sort(deck). This sorted deck will be used to place cards into their correct final positions.

4. Initialize an array called orderedDeck to store the cards in the specific order that simulates the 'reveal in increasing order' process.

5. Utilize a for-loop to iterate through each index of the deck. For each iteration:

   • Remove the first element from the queue (indexQueue.poll()) and place the current card (deck[idx]) at the corresponding index in orderedDeck.
   • Immediately, remove the next index from the queue and re-insert it at the end of the queue. This step is key and emulates the card placement and reveals the process described in the problem.

6. Once all indices have been processed, return the orderedDeck as the final array. This array reveals the cards in the specific order required.

By adhering to the above structured approach, you effectively simulate the described card revealing game using a combination of sorting and queue operations. This ensures cards are revealed in an incrementally sorted order, accounting for the specific rules of the game.

class Solution:
    def orderDeck(self, cards: List[int]) -> List[int]:
        deckSize = len(cards)
        positions = deque()

        # Initialize positions queue
        for index in range(deckSize):
            positions.append(index)
        
        cards.sort()

        # Array to hold ordered cards
        arranged = [0] * deckSize
        for card in cards:
            # Place card in the correct position
            arranged[positions.popleft()] = card

            # Cycle the next position to the end
            if positions:
                positions.append(positions.popleft())
                
        return arranged

In the task "Reveal Cards In Increasing Order", the goal is to rearrange a given deck of cards. Reveal them in a specific order such that they reveal themselves in an increasing manner. Implement this functionality using Python.

• Start by creating a solution class with a function named orderDeck, taking a list of integers cards representing the deck.

• Obtain the size of the deck using Python's len() function.

• Initialize a queue to handle the positions using Python's deque from the collections module. This queue will help in updating and accessing positions efficiently.

• Populate this queue with indices ranging from zero to the last index of the list.

• Sort the cards list to arrange the cards in non-decreasing order.

• Prepare a list arranged of the same length as cards, initialized with zeros. This list will store the ordered cards.

• Iterate over the 'cards' with a loop:

  • Assign the current card to the position popped from the front of the positions queue.
  • If there are still positions left in the queue, cycle the next index to the end of the queue. This ensures the position index will be available at the correct reveal order in subsequent iterations.

• Return the arranged list which now contains the cards revealed in an increasing order.

Using deque for position management allows efficient index rotations, and sorting the cards initially sets up for the increasing order exposure. The structure of this solution ensures clarity and efficiency. This approach should work efficiently for any size of the input list, providing a straightforward solution to the problem of revealing cards in a specified increasing order.