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'''
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실패
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'''
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from collections import defaultdict
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class Solution:
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def shortestSequence(self, rolls: list[int], k: int) -> int:
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st = set()
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for roll in rolls:
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for s in list(st):
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st.add(s+(roll,))
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st.add((roll,))
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dic = defaultdict(int)
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for s in list(st):
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dic[len(s)] += 1
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# print(dic[1])
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# print(dic[2])
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# print(dic[3])
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num =1
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while True:
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if not dic[num] == k ** num:
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return num
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num += 1

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