PUZZLE #5014: Plumb Puzzle (diff 5)
A hidden plumbing network spells a 7-letter word. Water flows through connected pipes but drains at certain junctions. Find the correct inlet, trace the flow, and decode the 3x5 bitmap pattern.
DATA
| Difficulty |
5
|
| Char Count |
7
|
| Grid Width |
27
|
| Grid Height |
5
|
| Char Width |
3
|
| Char Height |
5
|
| Char Gap |
1
|
| Pipes |
{'id': 0, 'row': 4, 'col': 9, 'connections': [2, 24]}, {'id': 1, 'row': 4, 'col': 6, 'connections': [23, 44, 45]}, {'id': 2, 'row': 3, 'col': 10, 'connections': [0, 56]}, {'id': 3, 'row': 3, 'col': 16, 'connections': [17, 25, 37, 47]}, {'id': 4, 'row': 3, 'col': 13, 'connections': [39, 48]}, {'id': 5, 'row': 0, 'col': 2, 'connections': [27, 50]}, {'id': 6, 'row': 4, 'col': 18, 'connections': [25]}, {'id': 7, 'row': 4, 'col': 24, 'connections': [28]}, {'id': 8, 'row': 0, 'col': 5, 'connections': [30, 33, 54]}, {'id': 9, 'row': 3, 'col': 22, 'connections': [49, 64]}, {'id': 10, 'row': 1, 'col': 0, 'connections': [27, 52]}, {'id': 11, 'row': 0, 'col': 14, 'connections': [34, 58, 59]}, {'id': 12, 'row': 2, 'col': 5, 'connections': [33, 45]}, {'id': 13, 'row': 0, 'col': 11, 'connections': [31, 55]}, {'id': 14, 'row': 0, 'col': 17, 'connections': [32, 61, 62]}, {'id': 15, 'row': 0, 'col': 20, 'connections': [35, 38, 60]}, {'id': 16, 'row': 0, 'col': 26, 'connections': [41, 65]}, {'id': 17, 'row': 2, 'col': 17, 'connections': [3, 37, 61]}, {'id': 18, 'row': 2, 'col': 20, 'connections': [38, 53, 64]}, {'id': 19, 'row': 2, 'col': 26, 'connections': [41, 42, 57, 65]}, {'id': 20, 'row': 1, 'col': 24, 'connections': [40, 42, 63, 65, 66]}, {'id': 21, 'row': 4, 'col': 2, 'connections': [43]}, {'id': 22, 'row': 3, 'col': 0, 'connections': [43, 52]}, {'id': 23, 'row': 4, 'col': 5, 'connections': [1, 45, 46]}, {'id': 24, 'row': 4, 'col': 8, 'connections': [0, 44]}, {'id': 25, 'row': 4, 'col': 17, 'connections': [3, 6, 47]}, {'id': 26, 'row': 4, 'col': 20, 'connections': [53]}, {'id': 27, 'row': 0, 'col': 1, 'connections': [5, 10]}, {'id': 28, 'row': 3, 'col': 24, 'connections': [7, 42, 66]}, {'id': 29, 'row': 4, 'col': 26, 'connections': [57]}, {'id': 30, 'row': 0, 'col': 4, 'connections': [8, 33, 50]}, {'id': 31, 'row': 0, 'col': 10, 'connections': [13, 51]}, {'id': 32, 'row': 0, 'col': 16, 'connections': [14, 59, 61]}, {'id': 33, 'row': 1, 'col': 5, 'connections': [8, 12, 30, 54]}, {'id': 34, 'row': 0, 'col': 13, 'connections': [11, 55, 58]}, {'id': 35, 'row': 0, 'col': 19, 'connections': [15, 38, 62]}, {'id': 36, 'row': 1, 'col': 8, 'connections': [51, 56]}, {'id': 37, 'row': 2, 'col': 16, 'connections': [3, 17, 61]}, {'id': 38, 'row': 1, 'col': 20, 'connections': [15, 18, 35, 60, 64]}, {'id': 39, 'row': 2, 'col': 13, 'connections': [4, 58]}, {'id': 40, 'row': 1, 'col': 23, 'connections': [20, 63, 66, 67]}, {'id': 41, 'row': 1, 'col': 26, 'connections': [16, 19, 42, 65]}, {'id': 42, 'row': 2, 'col': 25, 'connections': [19, 20, 28, 41, 57, 65, 66]}, {'id': 43, 'row': 4, 'col': 1, 'connections': [21, 22]}, {'id': 44, 'row': 4, 'col': 7, 'connections': [1, 24]}, {'id': 45, 'row': 3, 'col': 5, 'connections': [1, 12, 23, 46]}, {'id': 46, 'row': 4, 'col': 4, 'connections': [23, 45]}, {'id': 47, 'row': 4, 'col': 16, 'connections': [3, 25]}, {'id': 48, 'row': 4, 'col': 13, 'connections': [4]}, {'id': 49, 'row': 4, 'col': 22, 'connections': [9]}, {'id': 50, 'row': 0, 'col': 3, 'connections': [5, 30]}, {'id': 51, 'row': 0, 'col': 9, 'connections': [31, 36]}, {'id': 52, 'row': 2, 'col': 0, 'connections': [10, 22]}, {'id': 53, 'row': 3, 'col': 20, 'connections': [18, 26, 64]}, {'id': 54, 'row': 0, 'col': 6, 'connections': [8, 33]}, {'id': 55, 'row': 0, 'col': 12, 'connections': [13, 34, 58]}, {'id': 56, 'row': 2, 'col': 9, 'connections': [2, 36]}, {'id': 57, 'row': 3, 'col': 26, 'connections': [19, 29, 42]}, {'id': 58, 'row': 1, 'col': 13, 'connections': [11, 34, 39, 55]}, {'id': 59, 'row': 0, 'col': 15, 'connections': [11, 32, 61]}, {'id': 60, 'row': 0, 'col': 21, 'connections': [15, 38, 67]}, {'id': 61, 'row': 1, 'col': 16, 'connections': [14, 17, 32, 37, 59]}, {'id': 62, 'row': 0, 'col': 18, 'connections': [14, 35]}, {'id': 63, 'row': 0, 'col': 24, 'connections': [20, 40, 65]}, {'id': 64, 'row': 2, 'col': 21, 'connections': [9, 18, 38, 53, 67]}, {'id': 65, 'row': 1, 'col': 25, 'connections': [16, 19, 20, 41, 42, 63, 66]}, {'id': 66, 'row': 2, 'col': 24, 'connections': [20, 28, 40, 42, 65]}, {'id': 67, 'row': 1, 'col': 22, 'connections': [40, 60, 64]}, {'id': 68, 'row': 2, 'col': 19, 'connections': [69, 71]}, {'id': 69, 'row': 2, 'col': 18, 'connections': [68, 70]}, {'id': 70, 'row': 3, 'col': 18, 'connections': [69, 71]}, {'id': 71, 'row': 3, 'col': 19, 'connections': [68, 70, 72]}, {'id': 72, 'row': 4, 'col': 19, 'connections': [71]}, {'id': 73, 'row': 1, 'col': 4, 'connections': [74]}, {'id': 74, 'row': 2, 'col': 4, 'connections': [73, 75]}, {'id': 75, 'row': 3, 'col': 4, 'connections': [74, 76]}, {'id': 76, 'row': 3, 'col': 3, 'connections': [75, 77]}, {'id': 77, 'row': 4, 'col': 3, 'connections': [76]}, {'id': 78, 'row': 2, 'col': 11, 'connections': [79]}, {'id': 79, 'row': 3, 'col': 11, 'connections': [78, 80]}, {'id': 80, 'row': 4, 'col': 11, 'connections': [79, 81]}, {'id': 81, 'row': 4, 'col': 12, 'connections': [80]}, {'id': 82, 'row': 2, 'col': 3, 'connections': [83, 85]}, {'id': 83, 'row': 2, 'col': 2, 'connections': [82, 84]}, {'id': 84, 'row': 1, 'col': 2, 'connections': [83, 85]}, {'id': 85, 'row': 1, 'col': 3, 'connections': [82, 84]}, {'id': 86, 'row': 3, 'col': 21, 'connections': [87]}, {'id': 87, 'row': 4, 'col': 21, 'connections': [86]}, {'id': 88, 'row': 2, 'col': 8, 'connections': [89]}, {'id': 89, 'row': 3, 'col': 8, 'connections': [88, 90]}, {'id': 90, 'row': 3, 'col': 7, 'connections': [89, 91]}, {'id': 91, 'row': 3, 'col': 6, 'connections': [90, 92]}, {'id': 92, 'row': 2, 'col': 6, 'connections': [91, 93]}, {'id': 93, 'row': 1, 'col': 6, 'connections': [92]}
|
| Drains |
72, 77, 81, 85, 87, 93
|
| Inlets |
{
"0": 27,
"1": 88,
"2": 73,
"3": 86,
"4": 68,
"5": 82,
"6": 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",
"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)
2. Flow stops at drain nodes — water reaching a drain is lost
3. Each inlet fills a set of pipe segments
4. The correct inlet fills pipes that spell a word in 3x5 bitmap font
5. Decode the filled pipe pattern: each character is 3 cols wide, 5 rows tall
6. Grid rows 0..4, each character at col offset = ci * (char_width + char_gap)
7. A pipe cell with row=r and col=c is 'on' for the bitmap
8. Match the 3x5 pattern against the provided font reference
|
| Hint |
The pipe network has 7 inlets and 6 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
|
author's note: Pool fill: plumb diff 5
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