NODE 734 — TERMINAL RELAY

{
  "type": "galton",
  "difficulty": 7,
  "char_count": 8,
  "char_width": 3,
  "char_height": 5,
  "char_gap": 1,
  "chars": [
    [
      [
        0.68,
        7.46,
        1.0
      ],
      [
        1.52,
        0.7,
        1.61
      ],
      [
        1.79,
        7.64,
        1.83
      ],
      [
        1.77,
        5.59,
        0.93
      ],
      [
        1.53,
        5.59,
        1.31
      ]
    ],
    [
      [
        7.27,
        0.97,
        7.92
      ],
      [
        1.68,
        6.0,
        1.42
      ],
      [
        1.37,
        8.23,
        1.19
      ],
      [
        1.34,
        6.2,
        0.77
      ],
      [
        8.87,
        1.27,
        8.26
      ]
    ],
    [
      [
        1.68,
        5.34,
        0.92
      ],
      [
        1.47,
        0.61,
        0.96
      ],
      [
        1.73,
        6.4,
        1.62
      ],
      [
        1.54,
        6.26,
        1.81
      ],
      [
        1.17,
        8.84,
        1.18
      ]
    ],
    [
      [
        0.63,
        1.06,
        1.76
      ],
      [
        1.78,
        5.2,
        7.11
      ],
      [
        0.91,
        1.48,
        5.35
      ],
      [
        1.87,
        6.14,
        7.32
      ],
      [
        0.58,
        1.65,
        1.56
      ]
    ],
    [
      [
        0.89,
        5.67,
        0.77
      ],
      [
        1.04,
        0.6,
        1.21
      ],
      [
        1.69,
        1.65,
        1.22
      ],
      [
        1.57,
        5.82,
        1.25
      ],
      [
        1.81,
        0.91,
        1.87
      ]
    ],
    [
      [
        0.67,
        0.52,
        0.74
      ],
      [
        5.14,
        1.43,
        5.55
      ],
      [
        6.01,
        0.86,
        6.39
      ],
      [
        6.8,
        0.86,
        8.81
      ],
      [
        8.69,
        1.39,
        8.81
      ]
    ],
    [
      [
        0.78,
        7.67,
        1.42
      ],
      [
        1.04,
        8.58,
        0.52
      ],
      [
        0.74,
        7.84,
        1.21
      ],
      [
        1.21,
        6.88,
        1.87
      ],
      [
        1.95,
        0.78,
        1.51
      ]
    ],
    [
      [
        1.16,
        6.33,
        0.59
      ],
      [
        0.71,
        0.67,
        0.68
      ],
      [
        0.57,
        6.99,
        1.1
      ],
      [
        0.75,
        5.15,
        1.93
      ],
      [
        1.23,
        6.49,
        0.78
      ]
    ]
  ],
  "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": 4,
  "instructions": "1. Each character is a 3x5 grid of Galton-board pin densities.\n2. Low pin density (<3.5) = balls pass through = pixel ON.\n3. High pin density (>3.5) = balls blocked = pixel OFF.\n4. DECOYS: some empty cells also have low density.\n5. Run 2-means clustering (k=2) on all values to find LOW cluster.\n6. Set threshold at (low_mean + high_mean)/2.\n7. For each character, try ALL font patterns, pick the closest match.",
  "hint": "2-means cluster 31\u00d75 pin densities. Low cluster \u2248 ON, high cluster \u2248 OFF. Match each 3\u00d75 bitmap to the 26-letter font.",
  "answer_format": "comma-separated bin counts"
}