Doubling.py

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• Last update: 2023-06-17 23:40:34+09:00

Code

class Doubling():
    def __init__(self, A, Max_Level=1):
        """ N=len(A), X={0,1,...,N-1} とする. f: X→X を f(x):=A[x] としたとき, f^k(x) を求める.

        A: f を表すリスト, 任意の x in X に対して, f(x) in X でなければならない.
        Max_Level: k=2^(Max_Level+1)-1 まで対応可能になる.
        """

        self.N=len(A)
        self.D=[[0]*self.N for _ in range(Max_Level+1)]
        self.Level=Max_Level

        E=self.D[0]
        for i in range(self.N):
            assert 0<=A[i]<self.N
            E[i]=A[i]

        for k in range(1,Max_Level+1):
            E=self.D[k]; F=self.D[k-1]
            for i in range(self.N):
                E[i]=F[F[i]]

    def evaluate(self,x,k):
        """ f^k(x) を求める.

        """

        for i in range(self.Level+1):
            E=self.D[i]
            if k&1:
                x=E[x]
            k>>=1
            if k==0:
                break
        return x

    def evaluate_list(self,k):
        """ [f^k(0), f^k(1), ..., f^k(N-1)] を求める.

        """

        X=list(range(self.N))
        for i in range(self.Level+1):
            E=self.D[i]
            if k&1:
                for x in range(self.N):
                    X[x]=E[X[x]]
            k>>=1
            if k==0:
                break
        return X

Traceback (most recent call last):
  File "/opt/hostedtoolcache/Python/3.13.3/x64/lib/python3.13/site-packages/onlinejudge_verify/documentation/build.py", line 71, in _render_source_code_stat
    bundled_code = language.bundle(stat.path, basedir=basedir, options={'include_paths': [basedir]}).decode()
                   ~~~~~~~~~~~~~~~^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^
  File "/opt/hostedtoolcache/Python/3.13.3/x64/lib/python3.13/site-packages/onlinejudge_verify/languages/python.py", line 96, in bundle
    raise NotImplementedError
NotImplementedError

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