48 lines
1.2 KiB
Python
48 lines
1.2 KiB
Python
import re
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pattern = re.compile(r'''
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Button A: X\+(\d+), Y\+(\d+)
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Button B: X\+(\d+), Y\+(\d+)
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Prize: X=(\d+), Y=(\d+)
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'''.strip(), re.MULTILINE)
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data = open("input.txt").read().strip().split("\n\n")
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data = [tuple(map(int, pattern.match(x).groups())) for x in data]
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tok = lambda x: x[0]*3+x[1]
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def f(data):
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s = 0
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for n, (xa, ya, xb, yb, xt, yt) in enumerate(data):
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s1 = set()
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for i in range(min(xt//xa+1, 101)):
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for j in range(min(xt//xb+1, 101)):
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if xa*i+xb*j==xt:
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s1.add((i, j))
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s2 = set()
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for i in range(min(yt//ya+1, 101)):
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for j in range(min(yt//yb+1, 101)):
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if ya*i+yb*j==yt:
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s2.add((i, j))
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if s1&s2:
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s += tok(min(s1&s2, key=tok))
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return s
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def f2(data):
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s = 0
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for i, (xa, ya, xb, yb, xt, yt) in enumerate(data):
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xt += 10_000_000_000_000
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yt += 10000000000000
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d = xa*yb - xb*ya
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da = xt*yb - xb*yt
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db = xa*yt - xt*ya
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if da%d==db%d==0:
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a = da//d
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b = db//d
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s += a*3+b
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return s
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print(f(data))
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print(f2(data))
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