NODE 734 — TERMINAL RELAY

{
  "type": "plumb",
  "difficulty": 7,
  "char_count": 5,
  "grid_width": 19,
  "grid_height": 5,
  "char_width": 3,
  "char_height": 5,
  "char_gap": 1,
  "pipes": [
    {
      "id": 0,
      "row": 3,
      "col": 4,
      "connections": [
        15,
        26,
        34
      ]
    },
    {
      "id": 1,
      "row": 3,
      "col": 1,
      "connections": [
        9,
        32,
        40
      ]
    },
    {
      "id": 2,
      "row": 4,
      "col": 9,
      "connections": [
        22,
        35,
        36
      ]
    },
    {
      "id": 3,
      "row": 4,
      "col": 6,
      "connections": [
        23
      ]
    },
    {
      "id": 4,
      "row": 3,
      "col": 16,
      "connections": [
        21,
        25,
        31,
        37
      ]
    },
    {
      "id": 5,
      "row": 3,
      "col": 13,
      "connections": [
        20,
        38,
        46
      ]
    },
    {
      "id": 6,
      "row": 0,
      "col": 2,
      "connections": [
        14,
        27
      ]
    },
    {
      "id": 7,
      "row": 4,
      "col": 18,
      "connections": [
        25
      ]
    },
    {
      "id": 8,
      "row": 0,
      "col": 5,
      "connections": [
        11,
        41
      ]
    },
    {
      "id": 9,
      "row": 2,
      "col": 2,
      "connections": [
        1,
        14,
        27
      ]
    },
    {
      "id": 10,
      "row": 1,
      "col": 0,
      "connections": [
        39,
        40
      ]
    },
    {
      "id": 11,
      "row": 1,
      "col": 6,
      "connections": [
        8,
        15,
        43,
        45
      ]
    },
    {
      "id": 12,
      "row": 0,
      "col": 8,
      "connections": [
        29,
        43
      ]
    },
    {
      "id": 13,
      "row": 0,
      "col": 14,
      "connections": [
        30,
        44
      ]
    },
    {
      "id": 14,
      "row": 1,
      "col": 3,
      "connections": [
        6,
        9,
        26,
        27,
        41
      ]
    },
    {
      "id": 15,
      "row": 2,
      "col": 5,
      "connections": [
        0,
        11,
        23,
        26,
        41,
        45
      ]
    },
    {
      "id": 16,
      "row": 2,
      "col": 11,
      "connections": [
        19,
        33,
        46
      ]
    },
    {
      "id": 17,
      "row": 0,
      "col": 17,
      "connections": [
        28,
        47,
        48
      ]
    },
    {
      "id": 18,
      "row": 2,
      "col": 8,
      "connections": [
        29,
        36,
        43
      ]
    },
    {
      "id": 19,
      "row": 1,
      "col": 12,
      "connections": [
        16,
        42,
        46
      ]
    },
    {
      "id": 20,
      "row": 2,
      "col": 14,
      "connections": [
        5,
        30
      ]
    },
    {
      "id": 21,
      "row": 2,
      "col": 17,
      "connections": [
        4,
        31,
        47
      ]
    },
    {
      "id": 22,
      "row": 4,
      "col": 8,
      "connections": [
        2,
        36
      ]
    },
    {
      "id": 23,
      "row": 3,
      "col": 6,
      "connections": [
        3,
        15,
        45
      ]
    },
    {
      "id": 24,
      "row": 4,
      "col": 11,
      "connections": [
        33,
        35
      ]
    },
    {
      "id": 25,
      "row": 4,
      "col": 17,
      "connections": [
        4,
        7,
        37
      ]
    },
    {
      "id": 26,
      "row": 2,
      "col": 4,
      "connections": [
        0,
        14,
        15,
        41
      ]
    },
    {
      "id": 27,
      "row": 1,
      "col": 2,
      "connections": [
        6,
        9,
        14
      ]
    },
    {
      "id": 28,
      "row": 0,
      "col": 16,
      "connections": [
        17,
        44,
        47
      ]
    },
    {
      "id": 29,
      "row": 1,
      "col": 8,
      "connections": [
        12,
        18,
        43
      ]
    },
    {
      "id": 30,
      "row": 1,
      "col": 14,
      "connections": [
        13,
        20,
        44
      ]
    },
    {
      "id": 31,
      "row": 2,
      "col": 16,
      "connections": [
        4,
        21,
        47
      ]
    },
    {
      "id": 32,
      "row": 4,
      "col": 1,
      "connections": [
        1
      ]
    },
    {
      "id": 33,
      "row": 3,
      "col": 11,
      "connections": [
        16,
        24,
        35,
        46
      ]
    },
    {
      "id": 34,
      "row": 4,
      "col": 4,
      "connections": [
        0
      ]
    },
    {
      "id": 35,
      "row": 4,
      "col": 10,
      "connections": [
        2,
        24,
        33
      ]
    },
    {
      "id": 36,
      "row": 3,
      "col": 8,
      "connections": [
        2,
        18,
        22
      ]
    },
    {
      "id": 37,
      "row": 4,
      "col": 16,
      "connections": [
        4,
        25
      ]
    },
    {
      "id": 38,
      "row": 4,
      "col": 13,
      "connections": [
        5
      ]
    },
    {
      "id": 39,
      "row": 0,
      "col": 0,
      "connections": [
        10
      ]
    },
    {
      "id": 40,
      "row": 2,
      "col": 0,
      "connections": [
        1,
        10
      ]
    },
    {
      "id": 41,
      "row": 1,
      "col": 4,
      "connections": [
        8,
        14,
        15,
        26
      ]
    },
    {
      "id": 42,
      "row": 0,
      "col": 12,
      "connections": [
        19
      ]
    },
    {
      "id": 43,
      "row": 1,
      "col": 7,
      "connections": [
        11,
        12,
        18,
        29,
        45
      ]
    },
    {
      "id": 44,
      "row": 0,
      "col": 15,
      "connections": [
        13,
        28,
        30,
        47
      ]
    },
    {
      "id": 45,
      "row": 2,
      "col": 6,
      "connections": [
        11,
        15,
        23,
        43
      ]
    },
    {
      "id": 46,
      "row": 2,
      "col": 12,
      "connections": [
        5,
        16,
        19,
        33
      ]
    },
    {
      "id": 47,
      "row": 1,
      "col": 16,
      "connections": [
        17,
        21,
        28,
        31,
        44
      ]
    },
    {
      "id": 48,
      "row": 0,
      "col": 18,
      "connections": [
        17
      ]
    },
    {
      "id": 49,
      "row": 0,
      "col": 10,
      "connections": [
        50,
        52,
        54
      ]
    },
    {
      "id": 50,
      "row": 0,
      "col": 9,
      "connections": [
        49,
        51
      ]
    },
    {
      "id": 51,
      "row": 1,
      "col": 9,
      "connections": [
        50,
        52
      ]
    },
    {
      "id": 52,
      "row": 1,
      "col": 10,
      "connections": [
        49,
        51,
        53
      ]
    },
    {
      "id": 53,
      "row": 1,
      "col": 11,
      "connections": [
        52,
        54
      ]
    },
    {
      "id": 54,
      "row": 0,
      "col": 11,
      "connections": [
        49,
        53
      ]
    },
    {
      "id": 55,
      "row": 3,
      "col": 0,
      "connections": [
        56
      ]
    },
    {
      "id": 56,
      "row": 4,
      "col": 0,
      "connections": [
        55
      ]
    },
    {
      "id": 57,
      "row": 2,
      "col": 1,
      "connections": [
        58
      ]
    },
    {
      "id": 58,
      "row": 1,
      "col": 1,
      "connections": [
        57,
        59
      ]
    },
    {
      "id": 59,
      "row": 0,
      "col": 1,
      "connections": [
        58
      ]
    },
    {
      "id": 60,
      "row": 2,
      "col": 15,
      "connections": [
        61
      ]
    },
    {
      "id": 61,
      "row": 1,
      "col": 15,
      "connections": [
        60
      ]
    },
    {
      "id": 62,
      "row": 4,
      "col": 3,
      "connections": [
        63,
        65
      ]
    },
    {
      "id": 63,
      "row": 4,
      "col": 2,
      "connections": [
        62,
        64
      ]
    },
    {
      "id": 64,
      "row": 3,
      "col": 2,
      "connections": [
        63,
        65
      ]
    },
    {
      "id": 65,
      "row": 3,
      "col": 3,
      "connections": [
        62,
        64,
        66
      ]
    },
    {
      "id": 66,
      "row": 2,
      "col": 3,
      "connections": [
        65
      ]
    },
    {
      "id": 67,
      "row": 3,
      "col": 15,
      "connections": [
        68,
        70
      ]
    },
    {
      "id": 68,
      "row": 3,
      "col": 14,
      "connections": [
        67,
        69
      ]
    },
    {
      "id": 69,
      "row": 4,
      "col": 14,
      "connections": [
        68,
        70
      ]
    },
    {
      "id": 70,
      "row": 4,
      "col": 15,
      "connections": [
        67,
        69
      ]
    },
    {
      "id": 71,
      "row": 2,
      "col": 18,
      "connections": [
        72
      ]
    },
    {
      "id": 72,
      "row": 1,
      "col": 18,
      "connections": [
        71,
        73
      ]
    },
    {
      "id": 73,
      "row": 1,
      "col": 17,
      "connections": [
        72
      ]
    },
    {
      "id": 74,
      "row": 3,
      "col": 12,
      "connections": [
        75
      ]
    },
    {
      "id": 75,
      "row": 4,
      "col": 12,
      "connections": [
        74
      ]
    }
  ],
  "drains": [
    54,
    56,
    59,
    61,
    66,
    70,
    73,
    75
  ],
  "inlets": {
    "0": 39,
    "1": 49,
    "2": 57,
    "3": 55,
    "4": 60,
    "5": 74,
    "6": 62,
    "7": 71,
    "8": 67
  },
  "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 9 inlets and 8 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"
}