+==============================================================================+
| DECRYPTION STATION — PUZZLE #13432 |
+==============================================================================+
CIPHER TYPE: GALTON
SECURITY LEVEL: 1/7
STATUS: [ACTIVE — AWAITING DECRYPTION]
MISSION BRIEFING
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A 4-letter word in Galton board pin densities with 0 decoys.
INTERCEPTED DATA
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> difficulty:
1
> char count:
4
> char width:
3
> char height:
5
> char gap:
1
> chars:
[[[1.81, 1.41, 0.59], [1.19, 5.21, 5.01], [0.61, 1.97, 6.59], [1.32, 8.44, 5.19], [0.53, 8.55, 5.6]], [[7.78, 1.53, 8.84], [1.69, 8.33, 0.56], [1.03, 1.74, 0.92], [1.52, 8.27, 1.48], [0.5, 5.35, 0.74]], [[1.35, 6.45, 7.91], [1.16, 7.14, 5.6], [1.96, 8.86, 5.05], [0.81, 6.93, 5.64], [1.49, 1.22, 1.01]], [[1.93, 7.94, 7.36], [0.51, 6.3, 8.99], [1.56, 5.85, 8.98], [0.66, 7.26, 5.36], [0.71, 1.36, 1.87]]]
> font:
{'A': ['010', '101', '111', '101', '101'], 'B': ['110', '101', '110', '101', '110'], 'C': ['011', '100', '100', '100', '011'], 'D': ['110', '101', '101', '101', '110'], 'E': ['111', '100', '110', '100', '111'], 'F': ['111', '100', '110', '100', '100'], 'G': ['011', '100', '101', '101', '011'], 'H': ['101', '101', '111', '101', '101'], 'I': ['111', '010', '010', '010', '111'], 'J': ['111', '010', '010', '010', '110'], 'K': ['101', '101', '110', '101', '101'], 'L': ['100', '100', '100', '100', '111'], 'M': ['101', '111', '101', '101', '101'], 'N': ['101', '111', '111', '101', '101'], 'O': ['010', '101', '101', '101', '010'], 'P': ['110', '101', '110', '100', '100'], 'Q': ['010', '101', '101', '110', '011'], 'R': ['110', '101', '110', '101', '101'], 'S': ['011', '100', '010', '001', '110'], 'T': ['111', '010', '010', '010', '010'], 'U': ['101', '101', '101', '101', '101'], 'V': ['101', '101', '101', '010', '010'], 'W': ['101', '101', '101', '111', '101'], 'X': ['101', '010', '010', '010', '101'], 'Y': ['101', '010', '010', '010', '010'], 'Z': ['111', '001', '010', '100', '111']}
> decoy count:
0
> instructions:
1. Each character is a 3x5 grid of Galton-board pin densities.
2. Low pin density (<3.5) = balls pass through = pixel ON.
3. High pin density (>3.5) = balls blocked = pixel OFF.
4. DECOYS: some empty cells also have low density.
5. Run 2-means clustering (k=2) on all values to find LOW cluster.
6. Set threshold at (low_mean + high_mean)/2.
7. For each character, try ALL font patterns, pick the closest match.
> hint:
2-means cluster 15×5 pin densities. Low cluster ≈ ON, high cluster ≈ OFF. Match each 3×5 bitmap to the 26-letter font.
> answer format:
comma-separated bin counts
[INTEL] Pool fill: galton diff 1
DECRYPTION INPUT
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NAVIGATION
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