NODE 734 — TERMINAL RELAY

{
  "type": "galton",
  "difficulty": 5,
  "char_count": 5,
  "char_width": 3,
  "char_height": 5,
  "char_gap": 1,
  "chars": [
    [
      [
        8.98,
        1.5,
        0.5
      ],
      [
        1.94,
        7.24,
        5.32
      ],
      [
        0.75,
        8.57,
        5.17
      ],
      [
        0.91,
        1.22,
        6.2
      ],
      [
        5.8,
        1.34,
        0.6
      ]
    ],
    [
      [
        0.84,
        6.34,
        0.82
      ],
      [
        1.17,
        6.99,
        1.95
      ],
      [
        0.64,
        1.57,
        1.2
      ],
      [
        1.1,
        6.77,
        1.4
      ],
      [
        1.36,
        6.66,
        0.96
      ]
    ],
    [
      [
        1.41,
        5.03,
        1.65
      ],
      [
        1.28,
        7.76,
        1.93
      ],
      [
        1.66,
        7.2,
        1.05
      ],
      [
        1.35,
        6.85,
        1.36
      ],
      [
        1.51,
        6.55,
        0.85
      ]
    ],
    [
      [
        0.62,
        1.44,
        1.26
      ],
      [
        8.55,
        1.94,
        7.24
      ],
      [
        7.42,
        0.65,
        1.5
      ],
      [
        7.56,
        0.67,
        8.87
      ],
      [
        5.5,
        1.82,
        7.49
      ]
    ],
    [
      [
        1.6,
        1.27,
        1.31
      ],
      [
        1.25,
        5.25,
        5.96
      ],
      [
        0.75,
        1.43,
        7.98
      ],
      [
        0.93,
        7.16,
        8.19
      ],
      [
        0.87,
        0.55,
        1.31
      ]
    ]
  ],
  "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 19\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"
}