PUZZLE #3779: Plumb Puzzle (diff 6)
A hidden plumbing network spells a 4-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 |
6
|
| Char Count |
4
|
| Grid Width |
15
|
| Grid Height |
5
|
| Char Width |
3
|
| Char Height |
5
|
| Char Gap |
1
|
| Pipes |
{'id': 0, 'row': 4, 'col': 0, 'connections': [15]}, {'id': 1, 'row': 3, 'col': 4, 'connections': [16, 21]}, {'id': 2, 'row': 4, 'col': 9, 'connections': [4, 17]}, {'id': 3, 'row': 4, 'col': 12, 'connections': [19, 29]}, {'id': 4, 'row': 3, 'col': 10, 'connections': [2, 35]}, {'id': 5, 'row': 0, 'col': 2, 'connections': [11, 22]}, {'id': 6, 'row': 0, 'col': 5, 'connections': [9, 33]}, {'id': 7, 'row': 2, 'col': 2, 'connections': [11, 22, 24, 28]}, {'id': 8, 'row': 1, 'col': 0, 'connections': [24, 30, 32]}, {'id': 9, 'row': 1, 'col': 6, 'connections': [6, 36, 37]}, {'id': 10, 'row': 0, 'col': 14, 'connections': [25]}, {'id': 11, 'row': 1, 'col': 3, 'connections': [5, 7, 21, 22, 33]}, {'id': 12, 'row': 0, 'col': 11, 'connections': [13, 23, 34]}, {'id': 13, 'row': 1, 'col': 12, 'connections': [12, 25, 27, 34, 38]}, {'id': 14, 'row': 4, 'col': 2, 'connections': [28]}, {'id': 15, 'row': 3, 'col': 0, 'connections': [0, 24, 32]}, {'id': 16, 'row': 4, 'col': 5, 'connections': [1, 18]}, {'id': 17, 'row': 4, 'col': 8, 'connections': [2]}, {'id': 18, 'row': 3, 'col': 6, 'connections': [16, 37]}, {'id': 19, 'row': 3, 'col': 12, 'connections': [3, 27, 29, 38]}, {'id': 20, 'row': 4, 'col': 14, 'connections': [29]}, {'id': 21, 'row': 2, 'col': 4, 'connections': [1, 11, 33]}, {'id': 22, 'row': 1, 'col': 2, 'connections': [5, 7, 11, 24]}, {'id': 23, 'row': 0, 'col': 10, 'connections': [12, 31]}, {'id': 24, 'row': 2, 'col': 1, 'connections': [7, 8, 15, 22, 28, 32]}, {'id': 25, 'row': 0, 'col': 13, 'connections': [10, 13, 34]}, {'id': 26, 'row': 1, 'col': 8, 'connections': [31, 35, 36]}, {'id': 27, 'row': 2, 'col': 13, 'connections': [13, 19, 38]}, {'id': 28, 'row': 3, 'col': 2, 'connections': [7, 14, 24]}, {'id': 29, 'row': 4, 'col': 13, 'connections': [3, 19, 20]}, {'id': 30, 'row': 0, 'col': 0, 'connections': [8]}, {'id': 31, 'row': 0, 'col': 9, 'connections': [23, 26]}, {'id': 32, 'row': 2, 'col': 0, 'connections': [8, 15, 24]}, {'id': 33, 'row': 1, 'col': 4, 'connections': [6, 11, 21]}, {'id': 34, 'row': 0, 'col': 12, 'connections': [12, 13, 25]}, {'id': 35, 'row': 2, 'col': 9, 'connections': [4, 26]}, {'id': 36, 'row': 1, 'col': 7, 'connections': [9, 26, 37]}, {'id': 37, 'row': 2, 'col': 6, 'connections': [9, 18, 36]}, {'id': 38, 'row': 2, 'col': 12, 'connections': [13, 19, 27]}, {'id': 39, 'row': 1, 'col': 5, 'connections': [40]}, {'id': 40, 'row': 2, 'col': 5, 'connections': [39, 41]}, {'id': 41, 'row': 3, 'col': 5, 'connections': [40]}, {'id': 42, 'row': 0, 'col': 3, 'connections': [43]}, {'id': 43, 'row': 0, 'col': 4, 'connections': [42]}, {'id': 44, 'row': 4, 'col': 7, 'connections': [45]}, {'id': 45, 'row': 3, 'col': 7, 'connections': [44, 46, 48]}, {'id': 46, 'row': 2, 'col': 7, 'connections': [45, 47]}, {'id': 47, 'row': 2, 'col': 8, 'connections': [46, 48]}, {'id': 48, 'row': 3, 'col': 8, 'connections': [45, 47, 49]}, {'id': 49, 'row': 3, 'col': 9, 'connections': [48]}, {'id': 50, 'row': 2, 'col': 14, 'connections': [51]}, {'id': 51, 'row': 3, 'col': 14, 'connections': [50, 52]}, {'id': 52, 'row': 3, 'col': 13, 'connections': [51]}, {'id': 53, 'row': 0, 'col': 1, 'connections': [54]}, {'id': 54, 'row': 1, 'col': 1, 'connections': [53]}, {'id': 55, 'row': 3, 'col': 3, 'connections': [56]}, {'id': 56, 'row': 2, 'col': 3, 'connections': [55]}, {'id': 57, 'row': 4, 'col': 4, 'connections': [58]}, {'id': 58, 'row': 4, 'col': 3, 'connections': [57]}
|
| Drains |
41, 43, 49, 52, 54, 56, 58
|
| Inlets |
{
"0": 30,
"1": 57,
"2": 39,
"3": 55,
"4": 50,
"5": 53,
"6": 42,
"7": 44
}
|
| 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 8 inlets and 7 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 6
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