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| -rw-r--r-- | README.md | 34 |
1 files changed, 23 insertions, 11 deletions
@@ -12,16 +12,28 @@ int D = 0, R = 0, B1 = 0, B2 = 0; // Initial power-up status ``` Change these values to alter the initial state: -* **start** - Starting amount of money -* **goal** - Ending amount of money -* **max_it** - The maximum number of iterations to solve -* **MPQ** - The initial level of the money per question upgrade (Starts from 0) -* **SB** - The initial level of the streak bonus upgrade (Starts from 0) -* **M** - The initial level of the multiplier upgrade (Starts from 0) -* **D** - The status of the discounter power-up (0 is unpurchased, 1 is purchased and used) -* **R** - The status of the rebooter power-up (0 is unpurchased, 1 is purchased and used) -* **B1** - The status of the mini bonus power-up (0 is unpurchased, 1 is purchased and unused, 2 is used) -* **B2** - The status of the mega bonus power-up (0 is unpurchased, 1 is purchased and unused, 2 is used) +- **start** - Starting amount of money +- **goal** - Ending amount of money +- **max_it** - The maximum number of iterations to solve +- **MPQ** - The initial level of the money per question upgrade (Starts from 0) +- **SB** - The initial level of the streak bonus upgrade (Starts from 0) +- **M** - The initial level of the multiplier upgrade (Starts from 0) +- **D** - The status of the discounter power-up (0 is unpurchased, 1 is purchased and used) +- **R** - The status of the rebooter power-up (0 is unpurchased, 1 is purchased and used) +- **B1** - The status of the mini bonus power-up (0 is unpurchased, 1 is purchased and unused, 2 is used) +- **B2** - The status of the mega bonus power-up (0 is unpurchased, 1 is purchased and unused, 2 is used) ## How it works -*Coming soon* +Without considering player interactions, the *state* of a Gimkit game can actually be represented with only eight parameters: money, the levels of the money per question, streak bonus, and multiplier updates, and the status of four power-ups. For any such state, we want to minimize the number of questions ("iterations") needed to reach that state. However, money can range over a large range of values, so instead, we will swap money and the number of questions answered. Realistically, a player will only answer at most 200 questions, so this will reduce the total number of states. Note that a state only contains information about the current status in the game, not the particular path used to reach that state. + +State parameters +- **it** - The number of questions answered +- **MPQ** - The level of the money per question upgrade (Starts from 0) +- **SB** - The level of the streak bonus upgrade (Starts from 0) +- **M** - The level of the multiplier upgrade (Starts from 0) +- **D** - The status of the discounter power-up (0 is unpurchased, 1 is purchased and used) +- **R** - The status of the rebooter power-up (0 is unpurchased, 1 is purchased and used) +- **B1** - The status of the mini bonus power-up (0 is unpurchased, 1 is purchased and unused, 2 is used) +- **B2** - The status of the mega bonus power-up (0 is unpurchased, 1 is purchased and unused, 2 is used) + +Now that we have our state, we must determine the state *transitions*. Some transitions include answering a question, using a power-up, or buying an upgrade. These transitions allow us to go from one state to another. For example, consider the transition of answering a question. The new state's iteration will be one larger, while everything else stays the same. Starting from the initial state, the algorithm traverses transitions in an attempt to reach a state with money greater than the goal. |