🎮Game - Save CZ

This is a fair blockchain game without third-party siphoning.

This game holds the answer to what lies within the Commonwealth Boxes. Only before the airdrop claiming ends can users convert Commonwealth Boxes into 4 Boxes through the "Save CZ" game or direct exchange.

Introduction

Users cannot directly open the Commonwealth Boxes to obtain $4 tokens. They need to stake their Commonwealth Boxes in the Save CZ game, and the 4 Boxes obtained from the game can then be opened to receive $4. Only Commonwealth Boxes can participate in the game.

Game Mechanics

Each game round lasts 8 hours. Players can choose to join one of four observer camp. Only one camp can crack the Commonwealth Box puzzle and successfully save CZ. The winning probability of the four camps is related to the number of Commonwealth Boxes users invest in each camp.

The guesses for the four camps are Gun, Heart, Key, and Dollar, and once the winning camp is determined, it will reveal the true elements that can save CZ.

Each camp has different symbolic meanings:

- Gun corresponds to Code: "In web3, code is our gun."

- Heart corresponds to Faith: "Faith lingers in the heart."

- Key corresponds to Courage: "Courage is the key."

- Dollar corresponds to Wisdom: "Wisdom is far more effective than money."

During each round of the game, in addition to choosing a camp to invest Commonwealth Boxes, players can also scout information from other camps. Scouting begins 30 minutes after each round starts and ends 30 minutes before the round concludes. The results of the scouting will be displayed in real time. The possible outcomes of scouting are:

- Return with a full load: Earn 3x the investment of boxes, probability 7%

- Quite useful: Earn 1.1x the investment of boxes, probability 37%

- Nothing accomplished: Earn 0.9x the investment of boxes, probability 50%

- Misled: Earn 0.55x the investment of boxes, probability 6%

Scouting also consuming Commonwealth Boxes, with a cost of 1 Commonwealth Box per scout.

Expected scouting yield = 3*7% + 1.1*37% + 0.9*50% + 0.55*6% = 1.1, meaning if a user invests 1 box, the expected return is 1.1 boxes.

The results of scouting affect the number of boxes the player can bet and the total number of boxes in other camps. This can result in the total number of boxes bet by all players in each camp being greater than the total number of boxes in camps (because the overall return rate for box scouting exceeds 100%). The final number of boxes each player bets = actual bet + total boxes obtained from scouting.

Users can participate in scouting with a maximum number of boxes equal to 1.5 times their bet in the camp.

There are boundary scenarios where certain camp may be overly scouted, leading to a low number of boxes in that camp. The system will ensure that the number of boxes in each camp does not go negative (the winning probability cannot be negative). If a camp's boxes approach 0 and are scouted by other users, scouting may yield no benefits.

Calculating Winning rate and Odds

In the end, only one of the four camps will win, while the other three will lose. Each camp will gain a lottery quota based on the camp's net balance, and a random number will be generated using VRF (Verifiable Random Function) to determine the winning camp.

Definition of Camp Status:

- Net Investment by Camp Users: The total amount invested by users in that camp

- Active Income from Scouting: Total boxes gained by the camp from scouting other camps

- Passive Income from Scouting: Boxes passively gained from other camps when being scouted

- Scouting Debt: The number of boxes gained from scouting that camp when other camps scout it.

Definition of User Status:

- Net Investment by User: The quantity invested by the user in the current camp

- User Scouting Quantity: The quantity of boxes spent by the user for scouting on behalf of the current camp

- User Scouting Income: The total income from all scouting by the user

Based on the above statuses, we can conclude:

- Camp Net Balance = Net Investment by Camp Users + Active Income from Scouting + Passive Income from Scouting - Scouting Debt

- Total User Investment = Net Investment by User + User Scouting Investment

- Winning Rate of Camp 1 = Net Balance of Camp 1 / (Net Balance of Camp 1 + Net Balance of Camp 2 + Net Balance of Camp 3 + Net Balance of Camp 4)

- Odds of Camp 1 = (Net Balance of Camp 1 + 45% of the total net balance of the other three camps) / Total Net Balance of All Camps

Rewards

The winning camp can hold its net balance and additionally gain 45% of the net balance from the three losing camps as loot. The remaining 55% is distributed among the three losing camps based on the quantity of boxes invested.

Of the spoils, 50% will be distributed equally according to the betting amounts (including the adjusted number of boxes scouting); the other 50% will be distributed to the top 10 bettors in the current camp:

- 1st place gets 15%

- 2nd place gets 10%

- 3rd-5th place gets 5% each

- 6th-10th place gets 2% each

After paying 45% of the boxes to the winning camp, the three losing camps will receive the remaining prize boxes as spoils based on the proportion of total boxes invested in each camp.

Within each camp, 50% of the spoils will also be distributed equally based on the betting amounts, while the other 50% will be allocated to the top 10 bettors:

- 1st place gets 15%

- 2nd place gets 10%

- 3rd-5th place gets 5% each

- 6th-10th place gets 2% each

Whether winning or losing, the obtained 4 Boxes can be opened to receive $4 tokens.

Additionally, the system allows users to exchange their Commonwealth Boxes for 4 Boxes at a ratio of 5:1.