92 lines
2.3 KiB
Python
92 lines
2.3 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 = '''
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Button A: X+94, Y+34
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Button B: X+22, Y+67
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Prize: X=8400, Y=5400
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Button A: X+26, Y+66
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Button B: X+67, Y+21
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Prize: X=12748, Y=12176
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Button A: X+17, Y+86
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Button B: X+84, Y+37
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Prize: X=7870, Y=6450
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Button A: X+69, Y+23
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Button B: X+27, Y+71
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Prize: X=18641, Y=10279
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'''.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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print("@0", n, 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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print(f'@1 {i} {xa=}, {ya=}, {xb=}, {yb=}, {xt=}, {yt=}')
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#xt += 10_000_000_000_000
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#yt += 10000000000000
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b = 0
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a = 0
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al = 0
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ar = max(xt//xa+1, yt//ya+1)
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while ar-al>1:
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am = (ar+al)//2
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bl = 0
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br = max(xt//xb+1, yt//yb+1)
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f = False
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while br-bl>1:
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bm = (bl+br)//2
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if xa*am+xb*bm>xt and ya*am+yb*bm>xt:
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br = bm
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elif xa*am+xb*bm<xt and ya*am+yb*bm<xt:
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bl = bm
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elif xa*am+xb*bm==xt and ya*am+yb*bm==xt:
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f = True
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b = bm
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break
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else:
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break
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print(al, ar)
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if f:
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a = am
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ar = am
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else:
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if a>3*br:
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al = am
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else:
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ar = am
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print('@end', a, b, a*3+b)
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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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