# Levels

{% hint style="info" %}
Get ready to make crucial decisions that will determine your fate as you navigate through an ever-expanding web of routes and possibilities.
{% endhint %}

## Overview

Every round is composed of levels.

There is a maximum amount of levels, based on how far the furthest user has reached.

## Unlocking more levels

An *active* level is one that can receive a distribution of Bus Ticket revenue.

An *unlocked* level is one that any player has reached in the game.

The game starts with 3 levels unlocked.

There is a 2 level buffer between unlocked and active.

* Thus, there will always be 2 levels generating rewards *just out of reach* for the current round.

When anyone reaches a new high level in the game, the maximum amount of levels increases by one.

* When Alice buys a Bus Ticket, rewards are distributed to levels 1 - 5
* If Alice reaches level 3, she *unlocks* level 4 and *activates* level 6
* Now, Bob has to reach level 4 in order to *activate* level 7

## Bus Ticket revenue distribution

2% of the *Bus Ticket* purchase price goes to the *Last Chance Raffle*

98% of the *Bus Ticket* purchase price, the remaining, is distributed exponentially across *active* levels

For example, if there are 5 active levels, the distribution table would look like:

* Level 1: `1^2 / (1^2 + 2^2 + 3^2 + 4^2 + 5^2) == 1/55  == 0.0181 == ~1.8%`
* Level 2: `2^2 / (1^2 + 2^2 + 3^2 + 4^2 + 5^2) == 4/55  == 0.0726 == ~7.3%`
* Level 3: `3^2 / (1^2 + 2^2 + 3^2 + 4^2 + 5^2) == 9/55  == 0.1636 == ~16.4%`
* Level 4: `4^2 / (1^2 + 2^2 + 3^2 + 4^2 + 5^2) == 16/55 == 0.2909 == ~29.1%`
* Level 5: `5^2 / (1^2 + 2^2 + 3^2 + 4^2 + 5^2) == 25/55 == 0.4545 == ~45.5%`

Now, Carol buys 1 *Bus Ticket* for 0.002 ETH:

<table><thead><tr><th width="185">Level</th><th width="183.33333333333331">Distribution %</th><th>Rewards distributed per Level</th></tr></thead><tbody><tr><td>1</td><td>1.8%</td><td>0.000036 ETH (~$0.09)</td></tr><tr><td>2</td><td>7.3%</td><td>0.000146 ETH (~$0.365)</td></tr><tr><td>3</td><td>16.4%</td><td>0.000328 ETH (~$0.82)</td></tr><tr><td>4</td><td>29.1%</td><td>0.00058 ETH (~$1.45)</td></tr><tr><td>5</td><td>45.5%</td><td>0.00091 ETH (~$2.275)</td></tr></tbody></table>

> Illustrated above, we can see that the later levels receive a higher weighted distribution. This incentivizes future gameplay by increasing the rewards for users who reach the higher levels first.

As levels get unlocked and activated, the rewards will distribute accordingly.

<figure><img src="/files/ImVzQ1BJuZjiC7Ip7oOI" alt=""><figcaption><p>Buses departing the Station. Each bus takes a different path. Only one can survive the journey.</p></figcaption></figure>


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