Basket Construction

Required items for the basket and their quantities are calculated based on the predefined distribution of NFT supply (the “planned distribution”).

The x-axis represents the number of items, while the y axis represents the item group categorized by equipment level in MapleStory N

For illustration purposes only and may not be an exact representation of the basket construction

Basket composition

• NFTs that have been recorded in the Item Pool compose the basket, regardless of their current availability in the Item Pool.

• When new items are introduced to the Item Pool, these items will be included in the basket.

Weights applied to the basket items

• Weight represents the ratio of individual NFT supply to the total maximum NFT supply (e.g., If there are 100 'A' NFTs out of the total maximum supply of 1,000 NFTs, the weight applied to 'A' NFT is 10%).

Quotes for the basket items

• Quote reflects the required amount of an item, calculated using the NFT's weight.

Total quote_t for the basket

• Total quote_t represents the sum of all individual item quotes required for the basket, at time t.

• When new items are introduced to the Item Pool, they are included in the basket, which increases the Total quote_t.

Total Exchangeable NXPC_t

• $Total\ Exchangeable\ NXPC_t = \frac{Total\ quote_t}{NFT/NXPC\ Exchange\ Rate_t}$

• Total Exchangeable NXPC_t represents the total amount of NXPC exchanged for the basket at time t.

• The amount of NXPC exchangeable with Total quote_t is calculated using the NFT/NXPC Exchange Rate_t, which determines the exchange rate between NFTs and NXPC. This calculated amount becomes the Total Exchangeable NXPCₜ for the relevant Item Fusion round. Once the basket is fully sourced and reward calculations are finalized, each user receives a portion of the Total Exchangeable NXPCₜ based on their Participation Rate. (For additional information on Participation Rate, please refer to Section Participation Rate)

• For example, if the total number of NFTs required for the basket at time t (Total quote_t) is 1,000 and the current NFT/NXPC Exchange Rateₜ is 10, then the Total Exchangeable NXPCₜ would be 100 (1,000 NFTs ÷ NFT/NXPC Exchange Rateₜ 10 = 100).

• In the formula for Total Exchangeable NXPC_t, the denominator (NFT/NXPC Exchange Rate_t) increases when new items are introduced to the Item Pool, as explained in Section NFT/NXPC Exchange Rate. While Total quote_t also increases with new items, the proportional increase in the NFT/NXPC Exchange Rate_t exceeds the proportional increase in Total quote_{t ,}causing the Total Exchangeable NXPC_t to decrease when new items are introduced to the Item Pool.

• This occurs because the NFT/NXPC Exchange Rate_t reflects the maximum supply of new items (e.g., 1,000), while Total quote_t only reflects a fixed percentage of this maximum supply (e.g., 1% of 1,000 = 10).

• For example, consider a scenario where Number of NFTs in Item Pool_t is 1,000 and Total Supply of NXPC_t is 100 at time t, resulting in the NFT/NXPC Exchange Rate_t of 10 (1,000 ÷ 100). If the Total quote_t for the basket is 1,000, the Total Exchangeable NXPC_t would be 100.

• Now, assume we introduce a new item with a maximum supply of 100 into the Item Pool. The Number of NFTs in Item Pool_t would increase to 1,100, changing the NFT/NXPC Exchange Rate_t to 11 (1,100 ÷ 100). If the basket requires 1% of the item's maximum supply, the quote for this new item would be 1.

• The Total quote_t would increase to 1,001 from 1,000, while the NFT/NXPC Exchange Rate_t is now 11, resulting in the Total Exchangeable NXPC_t of 91 (1,001 ÷ 11).

• Therefore, the Total Exchangeable NXPC_t decreases when new items are introduced to the Item Pool.

The protocol truncates the Total Exchangeable NXPC_t calculation to 18 decimal places. As a result of this truncation, the actual NXPC amount users receive may differ from the theoretical amount calculated using the NFT/NXPC Exchange Rate_t.

All examples are for illustration purposes only and do not reflect actual information.