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@@ -0,0 +1,40 @@
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+#!/usr/bin/env python3
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+import sys
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+from functools import cache
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+from itertools import pairwise
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+
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+NUMERIC = '789', '456', '123', ' 0A'
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+DIRECTIONAL = ' ^A', '<v>'
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+
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+def walk(keypad, x, y, path):
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+ for direction in path:
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+ neighbors = (x - 1, y), (x + 1, y), (x, y - 1), (x, y + 1)
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+ x, y = neighbors['<>^v'.index(direction)]
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+ yield keypad[y][x]
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+
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+def paths_between(keypad, start, end):
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+ x1, y1 = next((x, y) for y, row in enumerate(keypad)
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+ for x, key in enumerate(row) if key == start)
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+ x2, y2 = next((x, y) for y, row in enumerate(keypad)
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+ for x, key in enumerate(row) if key == end)
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+ hor = '<>'[x2 > x1] * abs(x2 - x1)
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+ ver = '^v'[y2 > y1] * abs(y2 - y1)
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+ return tuple(path + 'A' for path in {hor + ver, ver + hor}
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+ if ' ' not in walk(keypad, x1, y1, path))
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+
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+@cache
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+def cost_between(keypad, start, end, links):
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+ return min(cost(DIRECTIONAL, path, links - 1)
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+ for path in paths_between(keypad, start, end)) if links else 1
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+
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+@cache
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+def cost(keypad, keys, links):
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+ return sum(cost_between(keypad, a, b, links)
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+ for a, b in pairwise('A' + keys))
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+
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+def complexity(code, robots):
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+ return cost(NUMERIC, code, robots + 1) * int(code[:-1])
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+
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+codes = sys.stdin.read().split()
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+print(sum(complexity(code, 2) for code in codes))
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+print(sum(complexity(code, 25) for code in codes))
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