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Add solves for 6,7 & 8

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Tabledevil
2024-12-11 23:14:05 +01:00
parent a2ca822c9d
commit 65010487b7
11 changed files with 819691 additions and 0 deletions
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8/8.ipynb Normal file
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"source": [
"# Load the larger test file and process it using the solution\n",
"file_path = 'input'\n",
"\n",
"def process_large_file(file_path):\n",
" with open(file_path, 'r') as file:\n",
" lines = [line.rstrip('\\n') for line in file.readlines()]\n",
" \n",
" height = len(lines)\n",
" width = len(lines[0]) if height > 0 else 0\n",
"\n",
" # Identify antennas and their frequencies\n",
" freq_map = {}\n",
" for y in range(height):\n",
" for x in range(width):\n",
" c = lines[y][x]\n",
" if c != '.':\n",
" if c not in freq_map:\n",
" freq_map[c] = []\n",
" freq_map[c].append((x, y))\n",
"\n",
" # A set to hold all unique antinode locations\n",
" antinodes = set()\n",
"\n",
" # Candidate λ values based on derived equations\n",
" lambdas = [2, -1, 1/3, 2/3]\n",
"\n",
" for freq, antennas in freq_map.items():\n",
" n = len(antennas)\n",
" if n < 2:\n",
" continue\n",
"\n",
" for i in range(n):\n",
" for j in range(i+1, n):\n",
" x1, y1 = antennas[i]\n",
" x2, y2 = antennas[j]\n",
" dx = x2 - x1\n",
" dy = y2 - y1\n",
"\n",
" for lam in lambdas:\n",
" px = x1 + lam * dx\n",
" py = y1 + lam * dy\n",
"\n",
" if abs(px - round(px)) < 1e-12 and abs(py - round(py)) < 1e-12:\n",
" rx = round(px)\n",
" ry = round(py)\n",
"\n",
" if 0 <= rx < width and 0 <= ry < height:\n",
" antinodes.add((rx, ry))\n",
"\n",
" # Output the number of unique antinode locations\n",
" return len(antinodes)\n",
"\n",
"process_large_file(file_path)\n"
]
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"source": [
"def process_part_two(file_path):\n",
" with open(file_path, 'r') as file:\n",
" lines = [line.rstrip('\\n') for line in file.readlines()]\n",
"\n",
" height = len(lines)\n",
" width = len(lines[0]) if height > 0 else 0\n",
"\n",
" # Identify antennas and their frequencies\n",
" freq_map = {}\n",
" for y in range(height):\n",
" for x in range(width):\n",
" c = lines[y][x]\n",
" if c != '.':\n",
" if c not in freq_map:\n",
" freq_map[c] = []\n",
" freq_map[c].append((x, y))\n",
"\n",
" # A set to hold all unique antinode locations\n",
" antinodes = set()\n",
"\n",
" # For each frequency group, consider all pairs of antennas\n",
" for freq, antennas in freq_map.items():\n",
" n = len(antennas)\n",
" if n < 2:\n",
" continue\n",
"\n",
" for i in range(n):\n",
" for j in range(i + 1, n):\n",
" x1, y1 = antennas[i]\n",
" x2, y2 = antennas[j]\n",
"\n",
" # Calculate the collinearity condition\n",
" for x in range(width):\n",
" for y in range(height):\n",
" if (x2 - x1) * (y - y1) == (y2 - y1) * (x - x1):\n",
" antinodes.add((x, y))\n",
"\n",
" # Include the positions of all antennas as antinodes\n",
" for freq, antennas in freq_map.items():\n",
" for x, y in antennas:\n",
" antinodes.add((x, y))\n",
"\n",
" # Return the number of unique antinode locations\n",
" return len(antinodes)\n",
"\n",
"\n",
"# Process the larger test file for part two\n",
"process_part_two('input')\n"
]
}
],
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