PUZZLE #5194: Galton Board Cipher (diff 3)
A 5-letter word in Galton board pin densities with 2 decoys.
DATA
| Difficulty |
3
|
| Char Count |
5
|
| Char Width |
3
|
| Char Height |
5
|
| Char Gap |
1
|
| Chars |
[[1.27, 0.89, 6.48], [0.8, 6.67, 1.5], [1.55, 1.72, 7.54], [1.0, 8.09, 1.11], [0.71, 1.68, 5.53]], [[5.49, 1.23, 7.33], [1.32, 5.47, 1.12], [0.6, 6.76, 1.7], [0.63, 8.36, 1.54], [6.05, 1.93, 7.48]], [[8.58, 1.57, 5.5], [0.76, 8.06, 0.57], [1.39, 0.66, 1.64], [0.81, 5.62, 1.43], [1.13, 8.2, 1.49]], [[0.56, 0.84, 8.98], [1.22, 5.04, 1.89], [0.5, 1.09, 6.47], [0.81, 8.57, 1.44], [1.46, 5.17, 1.53]], [[1.65, 0.57, 6.0], [1.56, 7.65, 1.88], [1.41, 5.97, 1.47], [0.9, 6.17, 1.68], [1.97, 1.13, 5.99]]
|
| 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 |
2
|
| 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 19×5 pin densities. Low cluster ≈ ON, high cluster ≈ OFF. Match each 3×5 bitmap to the 26-letter font.
|
| Answer Format |
comma-separated bin counts
|
author's note: Pool fill: galton diff 3
— website sponsored —
[ ad space ]