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多段階選抜 (C#/Python)(旧)

Last updated at Posted at 2014-08-04
多段階選抜 解答日 シリーズ:yieldの練習/ジェネレータを入れ子に/整数平方根・立方根の実装
問題   http://nabetani.sakura.ne.jp/hena/ord24eliseq/
https://qiita.com/Nabetani/items/1c83005a854d2c6cbb69
Ruby 2014/8/2(当日) https://qiita.com/cielavenir/items/9f15e29b73ecf98968a5
C#/Python 2014/8/4 https://qiita.com/cielavenir/items/a1156e6a4f71ddbe5dcb
  ここから上はdrop_prev_square/drop_prev_cubicをまとめる前の答案
Go/C#/Ruby/Python 2014/8/5 https://qiita.com/cielavenir/items/2a685d3080862f2c2c47
PHP/JavaScript 2014/9/9 https://qiita.com/cielavenir/items/28d613ac3823afbf8407
VB 2014/9/10 https://qiita.com/cielavenir/items/cb7266abd30eadd71c04
D 2015/12/21 https://qiita.com/cielavenir/items/47c9e50ee60bef2847ec
Perl 2017/3/10 https://qiita.com/cielavenir/items/6dfbff749d833c0fd423
Lua 2017/3/13 https://qiita.com/cielavenir/items/c60fe7e8da73487ba062
C++20(TS) 2017/3/15 https://qiita.com/cielavenir/items/e1129ca185008f49cbab (MSVC)
https://qiita.com/cielavenir/items/1cfa90d73d11bb7dc3d4 (clang)
F# 2017/3/17 https://qiita.com/cielavenir/items/a698d6a26824ff53de81
Boo/Nemerle 2017/5/13 https://qiita.com/cielavenir/items/e2a783f0fe4b0fe0ed48
Perl6 2017/5/15 https://qiita.com/cielavenir/items/656ea17fa96c865c4498
Kotlin 2017/5/25 https://qiita.com/cielavenir/items/9c46ce8d9d12e51de285
Crystal 2018/5/8 https://qiita.com/cielavenir/items/1815bfa6a860fd1f90db
MoonScript 2018/6/16 https://qiita.com/cielavenir/items/8b03cce0386f4537b5ad
Julia/Rust 2018/12/20 https://qiita.com/cielavenir/items/3ddf72b06d625da0c4a5
Nim 2018/12/26 https://qiita.com/cielavenir/items/5728944867e609fd52a7
Tcl 2018/12/31 https://qiita.com/cielavenir/items/76cbd9c2022b48c9a2c9
Pascal/Cobra 2019/1/16 https://qiita.com/cielavenir/items/81b81baf8dfc1f877903
Icon 2019/1/17 https://qiita.com/cielavenir/items/889622dcc721f5a4da24
Swift 2020/5/31 https://qiita.com/cielavenir/items/3b0b84a218e35d538f7f
Java/Groovy/Scala 2020/5/31 https://qiita.com/cielavenir/items/7f058203a8fd03b65870
V 2020/10/17 https://qiita.com/cielavenir/items/df30a6c101a97a713df5
Zig/Zen 2020/10/17 https://qiita.com/cielavenir/items/9cced9e4a94dcd70df0f
Pike 2020/11/2 https://qiita.com/cielavenir/items/3a8248f41611302b34fd
Vala/Smalltalk 2020/11/29 https://qiita.com/cielavenir/items/085dabe593cd916af5e8
Objective-C 2020/11/30 https://qiita.com/cielavenir/items/a1736e38789a3dd5cc5a
Ruby(Ractor) 2021/1/2 https://qiita.com/cielavenir/items/f493c6d512b63cc571cc
Python(_xxsubinterpreters) 2021/6/29 https://qiita.com/cielavenir/items/f1f581a055db918954f1
Falcon/Scheme 2021/9/5 https://qiita.com/cielavenir/items/c13d12cf44f0d17f4a94
Clojure/Lisp 2021/9/7 https://qiita.com/cielavenir/items/7458ba076f4e5bc0f196
(icbrtの実装に関する)補題 2017/5/11 整数除算であってもn/(x*y)はn/x/yに等しい(ことの証明)
https://qiita.com/cielavenir/items/21a6711afd6be8c18c55

C#/Pythonいずれも無限リスト対応。

C#

発表会中に、「IEnumerableを使えばできるかも」と言ってしまったので、言い出しっぺの法則。

cbrtはDllImportのため環境依存。
イテレータの作り方は増井氏の最短経路の計算( http://qiita.com/cielavenir/items/ac96da5e3040c2edb78c )でやったけど、やはり面倒。

ところで、C#でできるってことはVB2012以降でも可能ってことだけど、労力が半端無いので止め。上に挙げた最短経路の計算のソースをうまく使えば作れるかも。とのみ。

あとはJava。でもStreamはようわからんのよね。

Stream.generateはコルーチンでないのでだめそうです。てかEnumeratorに該当するものがない気がする。

hena24.cs
using System;
using System.Linq;
using System.Collections.Generic;
using System.Runtime.InteropServices;

class Hena24{
    [DllImport("c")]
    private extern static double cbrt(double d);

    static private IEnumerable<int> generate(){
        int i=1;
        for(;;){
            yield return i;
            i+=1;
        }
    }
    static private IEnumerable<int> drop_prev_square(IEnumerable<int> _prev){
        IEnumerator<int> prev=_prev.GetEnumerator();
        prev.MoveNext();
        int a=prev.Current;
        prev.MoveNext();
        int b=prev.Current;
        for(;;){
            int x=(int)Math.Sqrt(b);
            if(x*x!=b)yield return a;
            a=b;
            prev.MoveNext();
            b=prev.Current;
        }
    }
    static private IEnumerable<int> drop_next_square(IEnumerable<int> _prev){
        IEnumerator<int> prev=_prev.GetEnumerator();
        prev.MoveNext();
        int a=prev.Current;
        prev.MoveNext();
        int b=prev.Current;
        yield return a;
        for(;;){
            int x=(int)Math.Sqrt(a);
            if(x*x!=a)yield return b;
            a=b;
            prev.MoveNext();
            b=prev.Current;
        }
    }
    static private IEnumerable<int> drop_prev_cubic(IEnumerable<int> _prev){
        IEnumerator<int> prev=_prev.GetEnumerator();
        prev.MoveNext();
        int a=prev.Current;
        prev.MoveNext();
        int b=prev.Current;
        for(;;){
            int x=(int)cbrt(b);
            if(x*x*x!=b)yield return a;
            a=b;
            prev.MoveNext();
            b=prev.Current;
        }
    }
    static private IEnumerable<int> drop_next_cubic(IEnumerable<int> _prev){
        IEnumerator<int> prev=_prev.GetEnumerator();
        prev.MoveNext();
        int a=prev.Current;
        prev.MoveNext();
        int b=prev.Current;
        yield return a;
        for(;;){
            int x=(int)cbrt(a);
            if(x*x*x!=a)yield return b;
            a=b;
            prev.MoveNext();
            b=prev.Current;
        }
    }
    static private IEnumerable<int> drop_num(int n,IEnumerable<int> _prev){
        IEnumerator<int> prev=_prev.GetEnumerator();
        int i=0;
        for(;;){
            i++;
            prev.MoveNext();
            int a=prev.Current;
            if(i%n!=0)yield return a;
        }
    }
    static private IEnumerable<int> drop_cnt(int n,IEnumerable<int> _prev){
        IEnumerator<int> prev=_prev.GetEnumerator();
        int i=0;
        for(;;){
            i++;
            prev.MoveNext();
            int a=prev.Current;
            if(i>n)yield return a;
        }
    }
    static void Main(){
        var f=new Dictionary<char,Func<IEnumerable<int>,IEnumerable<int>>>(){
            {'S',drop_next_square},
            {'s',drop_prev_square},
            {'C',drop_next_cubic},
            {'c',drop_prev_cubic},
            {'h',e => drop_cnt(100,e)},
        };
        for(int i=2;i<10;i++){
            int j=i; //寿命が短いスコープを作ることで、ラムダ式のキャプチャでバグらないようにする。
            f[(char)('0'+j)] = e=>drop_num(j,e);
        }
        string line;
        for(;(line=Console.ReadLine())!=null;){
            bool first=true;
            foreach(int n in line.Aggregate(generate(),(s,e)=>f[e](s)).Take(10)){
                if(!first)Console.Write(',');
                first=false;
                Console.Write(n);
            }
            Console.WriteLine();
        }
    }
}

Python

おまけ程度ですが。
基本、Ruby版と同じロジック。
cbrtはscipyを使用。
Pythonは何もしないと勝手に外部イテレータになるのが嬉しいですね。

hena24_enum.py
#!/usr/bin/env python
#http://qiita.com/Nabetani/items/1c83005a854d2c6cbb69
#http://nabetani.sakura.ne.jp/hena/ord24eliseq/
import sys
import math
import itertools
from functools import partial,reduce
from scipy.special import cbrt # thx @ryosy383

'''
def generate():
    i=1
    while True:
        yield i
        i+=1
'''

def drop_prev_square(prev):
    a=next(prev)
    b=next(prev)
    while True:
        if int(math.sqrt(float(b)))**2!=b: yield a
        a,b=b,next(prev)

def drop_next_square(prev):
    a=next(prev)
    b=next(prev)
    yield a
    while True:
        if int(math.sqrt(float(a)))**2!=a: yield b
        a,b=b,next(prev)

def drop_prev_cubic(prev):
    a=next(prev)
    b=next(prev)
    while True:
        if int(cbrt(float(b)))**3!=b: yield a
        a,b=b,next(prev)

def drop_next_cubic(prev):
    a=next(prev)
    b=next(prev)
    yield a
    while True:
        if int(cbrt(float(a)))**3!=a: yield b
        a,b=b,next(prev)

def drop_num(n,prev):
    i=0
    while True:
        i+=1
        a=next(prev)
        if i%n!=0: yield a

def drop_cnt(n,prev):
    i=0
    while True:
        i+=1
        a=next(prev)
        if i>n: yield a

f={
    'S': drop_next_square,
    's': drop_prev_square,
    'C': drop_next_cubic,
    'c': drop_prev_cubic,
    'h': partial(drop_cnt,100),
}
for e in range(2,10): f[str(e)]=partial(drop_num,e)

if __name__=='__main__':
    try:
        while True:
            print(','.join(map(str,
                list(itertools.islice(
                    reduce(lambda s,e:f[e](s),raw_input().rstrip(),itertools.count(1)),
                10))
            )))
    except EOFError:
        pass
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