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posts/solving-queuedle.md

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@@ -19,11 +19,11 @@ In Queuedle, there's a 5x5 grid of letters:
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- 5 rows and 5 columns
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- For each row: 2 possible moves (left, right)
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- For each column: 2 possible moves (left, right)
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- For each column: 2 possible moves (up, down)
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- Total possible moves per state (before restrictions):
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- (5 rows × 2) + (5 columns × 2) = 10 + 10 = 20
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At the start of the game, the branching factor is 20 (compared to chess, where the average branching factor is ~35). It drops when moves get restricted (rows and columns may only slide one way).
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At the start of the game, the branching factor is 20 (compared to chess, where the average branching factor is ~35). It drops when moves get restricted (rows and columns can't slide back).
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The search space is in the quintillions. With a letter queue of 15 and a branching factor starting around 20, we're looking at roughly 20^15 ≈ 3×10^19 possible move sequences (including duplicate board states).
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@@ -60,7 +60,7 @@ I've put together an example journey below.
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│ ├───[right 0] ········(s:25, q:13)
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│ └──┬───[down 4] ·····(s:26, q:13)
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│ ├───[right 0] ·····(s:29, q:12)
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│ └───[left. 4] ·····(s:32, q:12) ★ best
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│ └───[left 4] ·····(s:32, q:12) ★ best
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├───[up 4] ·············(s:3, q:14)
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├───[down 4] ·············(s:7, q:14)
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│..

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