NODE 734 — TERMINAL RELAY

{
  "type": "plumb",
  "difficulty": 3,
  "char_count": 6,
  "grid_width": 23,
  "grid_height": 5,
  "char_width": 3,
  "char_height": 5,
  "char_gap": 1,
  "pipes": [
    {
      "id": 0,
      "row": 4,
      "col": 0,
      "connections": [
        39
      ]
    },
    {
      "id": 1,
      "row": 3,
      "col": 4,
      "connections": [
        20,
        21,
        29
      ]
    },
    {
      "id": 2,
      "row": 4,
      "col": 9,
      "connections": [
        22,
        40,
        41
      ]
    },
    {
      "id": 3,
      "row": 4,
      "col": 12,
      "connections": [
        24,
        25,
        44
      ]
    },
    {
      "id": 4,
      "row": 3,
      "col": 16,
      "connections": [
        17,
        26,
        37,
        43
      ]
    },
    {
      "id": 5,
      "row": 0,
      "col": 2,
      "connections": [
        28
      ]
    },
    {
      "id": 6,
      "row": 4,
      "col": 18,
      "connections": [
        26
      ]
    },
    {
      "id": 7,
      "row": 0,
      "col": 5,
      "connections": [
        10,
        47
      ]
    },
    {
      "id": 8,
      "row": 3,
      "col": 22,
      "connections": [
        45,
        55
      ]
    },
    {
      "id": 9,
      "row": 1,
      "col": 0,
      "connections": [
        28,
        30
      ]
    },
    {
      "id": 10,
      "row": 1,
      "col": 6,
      "connections": [
        7,
        49,
        50
      ]
    },
    {
      "id": 11,
      "row": 0,
      "col": 8,
      "connections": [
        34,
        49
      ]
    },
    {
      "id": 12,
      "row": 0,
      "col": 17,
      "connections": [
        31,
        53,
        54
      ]
    },
    {
      "id": 13,
      "row": 2,
      "col": 8,
      "connections": [
        34,
        41,
        49
      ]
    },
    {
      "id": 14,
      "row": 1,
      "col": 12,
      "connections": [
        32,
        48,
        52
      ]
    },
    {
      "id": 15,
      "row": 2,
      "col": 14,
      "connections": [
        18,
        35,
        42
      ]
    },
    {
      "id": 16,
      "row": 0,
      "col": 20,
      "connections": [
        33,
        36,
        51
      ]
    },
    {
      "id": 17,
      "row": 2,
      "col": 17,
      "connections": [
        4,
        37,
        53
      ]
    },
    {
      "id": 18,
      "row": 1,
      "col": 15,
      "connections": [
        15,
        31,
        35,
        37,
        53
      ]
    },
    {
      "id": 19,
      "row": 2,
      "col": 20,
      "connections": [
        36,
        46,
        55
      ]
    },
    {
      "id": 20,
      "row": 4,
      "col": 5,
      "connections": [
        1,
        23
      ]
    },
    {
      "id": 21,
      "row": 3,
      "col": 3,
      "connections": [
        1,
        29,
        38
      ]
    },
    {
      "id": 22,
      "row": 4,
      "col": 8,
      "connections": [
        2,
        41
      ]
    },
    {
      "id": 23,
      "row": 3,
      "col": 6,
      "connections": [
        20,
        50
      ]
    },
    {
      "id": 24,
      "row": 3,
      "col": 12,
      "connections": [
        3,
        25,
        44,
        52
      ]
    },
    {
      "id": 25,
      "row": 4,
      "col": 11,
      "connections": [
        3,
        24,
        40
      ]
    },
    {
      "id": 26,
      "row": 4,
      "col": 17,
      "connections": [
        4,
        6,
        43
      ]
    },
    {
      "id": 27,
      "row": 4,
      "col": 20,
      "connections": [
        46
      ]
    },
    {
      "id": 28,
      "row": 0,
      "col": 1,
      "connections": [
        5,
        9
      ]
    },
    {
      "id": 29,
      "row": 2,
      "col": 4,
      "connections": [
        1,
        21,
        47
      ]
    },
    {
      "id": 30,
      "row": 2,
      "col": 1,
      "connections": [
        9,
        38
      ]
    },
    {
      "id": 31,
      "row": 0,
      "col": 16,
      "connections": [
        12,
        18,
        53
      ]
    },
    {
      "id": 32,
      "row": 0,
      "col": 13,
      "connections": [
        14,
        35,
        48
      ]
    },
    {
      "id": 33,
      "row": 0,
      "col": 19,
      "connections": [
        16,
        36,
        54
      ]
    },
    {
      "id": 34,
      "row": 1,
      "col": 8,
      "connections": [
        11,
        13,
        49
      ]
    },
    {
      "id": 35,
      "row": 1,
      "col": 14,
      "connections": [
        15,
        18,
        32
      ]
    },
    {
      "id": 36,
      "row": 1,
      "col": 20,
      "connections": [
        16,
        19,
        33,
        51,
        55
      ]
    },
    {
      "id": 37,
      "row": 2,
      "col": 16,
      "connections": [
        4,
        17,
        18,
        53
      ]
    },
    {
      "id": 38,
      "row": 3,
      "col": 2,
      "connections": [
        21,
        30,
        39
      ]
    },
    {
      "id": 39,
      "row": 4,
      "col": 1,
      "connections": [
        0,
        38
      ]
    },
    {
      "id": 40,
      "row": 4,
      "col": 10,
      "connections": [
        2,
        25
      ]
    },
    {
      "id": 41,
      "row": 3,
      "col": 8,
      "connections": [
        2,
        13,
        22
      ]
    },
    {
      "id": 42,
      "row": 3,
      "col": 14,
      "connections": [
        15,
        44
      ]
    },
    {
      "id": 43,
      "row": 4,
      "col": 16,
      "connections": [
        4,
        26
      ]
    },
    {
      "id": 44,
      "row": 4,
      "col": 13,
      "connections": [
        3,
        24,
        42
      ]
    },
    {
      "id": 45,
      "row": 4,
      "col": 22,
      "connections": [
        8
      ]
    },
    {
      "id": 46,
      "row": 3,
      "col": 20,
      "connections": [
        19,
        27,
        55
      ]
    },
    {
      "id": 47,
      "row": 1,
      "col": 4,
      "connections": [
        7,
        29
      ]
    },
    {
      "id": 48,
      "row": 0,
      "col": 12,
      "connections": [
        14,
        32
      ]
    },
    {
      "id": 49,
      "row": 1,
      "col": 7,
      "connections": [
        10,
        11,
        13,
        34,
        50
      ]
    },
    {
      "id": 50,
      "row": 2,
      "col": 6,
      "connections": [
        10,
        23,
        49
      ]
    },
    {
      "id": 51,
      "row": 0,
      "col": 21,
      "connections": [
        16,
        36,
        56
      ]
    },
    {
      "id": 52,
      "row": 2,
      "col": 12,
      "connections": [
        14,
        24
      ]
    },
    {
      "id": 53,
      "row": 1,
      "col": 16,
      "connections": [
        12,
        17,
        18,
        31,
        37
      ]
    },
    {
      "id": 54,
      "row": 0,
      "col": 18,
      "connections": [
        12,
        33
      ]
    },
    {
      "id": 55,
      "row": 2,
      "col": 21,
      "connections": [
        8,
        19,
        36,
        46,
        56
      ]
    },
    {
      "id": 56,
      "row": 1,
      "col": 22,
      "connections": [
        51,
        55
      ]
    },
    {
      "id": 57,
      "row": 0,
      "col": 7,
      "connections": [
        58
      ]
    },
    {
      "id": 58,
      "row": 0,
      "col": 6,
      "connections": [
        57
      ]
    },
    {
      "id": 59,
      "row": 3,
      "col": 18,
      "connections": [
        60
      ]
    },
    {
      "id": 60,
      "row": 2,
      "col": 18,
      "connections": [
        59,
        61
      ]
    },
    {
      "id": 61,
      "row": 1,
      "col": 18,
      "connections": [
        60,
        62
      ]
    },
    {
      "id": 62,
      "row": 1,
      "col": 17,
      "connections": [
        61
      ]
    },
    {
      "id": 63,
      "row": 0,
      "col": 9,
      "connections": [
        64
      ]
    },
    {
      "id": 64,
      "row": 1,
      "col": 9,
      "connections": [
        63,
        65
      ]
    },
    {
      "id": 65,
      "row": 2,
      "col": 9,
      "connections": [
        64,
        66
      ]
    },
    {
      "id": 66,
      "row": 2,
      "col": 10,
      "connections": [
        65
      ]
    },
    {
      "id": 67,
      "row": 4,
      "col": 3,
      "connections": [
        68
      ]
    },
    {
      "id": 68,
      "row": 4,
      "col": 4,
      "connections": [
        67
      ]
    }
  ],
  "drains": [
    58,
    62,
    66,
    68
  ],
  "inlets": {
    "0": 28,
    "1": 67,
    "2": 59,
    "3": 57,
    "4": 63
  },
  "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",
      "010"
    ],
    "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"
    ]
  },
  "instructions": "1. Simulate water flow from each inlet (BFS through the pipe graph)\n2. Flow stops at drain nodes \u2014 water reaching a drain is lost\n3. Each inlet fills a set of pipe segments\n4. The correct inlet fills pipes that spell a word in 3x5 bitmap font\n5. Decode the filled pipe pattern: each character is 3 cols wide, 5 rows tall\n6. Grid rows 0..4, each character at col offset = ci * (char_width + char_gap)\n7. A pipe cell with row=r and col=c is 'on' for the bitmap\n8. Match the 3x5 pattern against the provided font reference",
  "hint": "The pipe network has 5 inlets and 4 drains. Only one inlet fills the letter-shaped pipes without hitting a drain. Simulate BFS flow from each inlet to find it.",
  "answer_format": "lowercase word, no spaces or punctuation"
}