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多段階選抜 (Objective-C)

Last updated at Posted at 2020-11-29
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

SmalltalkとSwiftで解けるならObjective-Cでも解けますよね…

tyama_hena24_enum.m
//usr/bin/true; tmpfile=$(mktemp); gcc -o $tmpfile -framework Foundation "$0" && $tmpfile; rm -f $tmpfile; exit

// http://qiita.com/Nabetani/items/1c83005a854d2c6cbb69
// http://nabetani.sakura.ne.jp/hena/ord24eliseq/

#import <stdio.h>
#import <Foundation/Foundation.h>

int isqrt(int n){
    if(n<=0)return 0;
    if(n<4)return 1;
    int x=0,y=n;
    for(;x!=y&&x+1!=y;)x=y,y=(n/y+y)/2;
    return x;
}
int icbrt(int n){
    if(n<0)return -icbrt(-n);
    if(n==0)return 0;
    if(n<8)return 1;
    int x=0,y=n;
    for(;x!=y&&x+1!=y;)x=y,y=(n/y/y+y*2)/3;
    return x;
}

typedef bool(*tbl)(long long);
typedef bool(*tbll)(long long,long long);

@interface generate_impl:NSEnumerator
-init;
-(NSNumber*)nextObject;
@end
@interface drop_prev_impl:NSEnumerator
-init:(tbl)check _:(id)prev;
-(NSNumber*)nextObject;
@end
@interface drop_next_impl:NSEnumerator
-init:(tbl)check _:(id)prev;
-(NSNumber*)nextObject;
@end
@interface drop_n_impl:NSEnumerator
-init:(tbll)check _:(long long)n _:(id)prev;
-(NSNumber*)nextObject;
@end

@implementation generate_impl
{
    long long i;
}
-init
{
    i=0;
    [super init];
    return self;
}
-(NSNumber*)nextObject;
{
    i+=1;
    return [NSNumber numberWithLongLong:i];
}
@end
id generate(){return [[[generate_impl alloc] init] autorelease];}

@implementation drop_prev_impl
{
    id prev;
    tbl check;
    long long a;
    long long b;
}
-init:(tbl)check_ _:(id)prev_
{
    prev=prev_;
    check=check_;
    a=0;
    b=[[prev nextObject] longLongValue];
    [super init];
    return self;
}
-(NSNumber*)nextObject;
{
    for(;;){
        a=b;
        b=[[prev nextObject] longLongValue];
        if(!check(b)){
            return [NSNumber numberWithLongLong:a];
        }
    }
}
@end
id drop_prev(tbl check,id prev){return [[[drop_prev_impl alloc] init:check _:prev] autorelease];}

@implementation drop_next_impl
{
    id prev;
    tbl check;
    bool first;
    long long a;
    long long b;
}
-init:(tbl)check_ _:(id)prev_
{
    prev=prev_;
    check=check_;
    first=true;
    a=0;
    b=0;
    [super init];
    return self;
}
-(NSNumber*)nextObject;
{
    for(;;){
        a=b;
        b=[[prev nextObject] longLongValue];
        if(first||!check(a)){
            first=false;
            return [NSNumber numberWithLongLong:b];
        }
    }
}
@end
id drop_next(tbl check,id prev){return [[[drop_next_impl alloc] init:check _:prev] autorelease];}

@implementation drop_n_impl
{
    id prev;
    tbll check;
    long long n;
    long long i;
}
-init:(tbll)check_ _:(long long)n_ _:(id)prev_
{
    prev=prev_;
    check=check_;
    n=n_;
    i=0;
    [super init];
    return self;
}
-(NSNumber*)nextObject;
{
    for(;;){
        i+=1;
        long long a=[[prev nextObject] longLongValue];
        if(!check(i,n)){
            return [NSNumber numberWithLongLong:a];
        }
    }
}
@end
id drop_n(tbll check,long long n,id prev){return [[[drop_n_impl alloc] init:check _:n _:prev] autorelease];}

bool is_sq(long long n){
    long long x=isqrt(n);
    return x*x==n;
}
bool is_cb(long long n){
    long long x=icbrt(n);
    return x*x*x==n;
}
bool is_multiple(long long i,long long n){return i%n==0;}
bool is_le(long long i,long long n){return i<=n;}

int main(){
    for(;;){
        id stream=generate();
        for(;;){
            char c=fgetc(stdin);
            if(c=='\n')break;
            else if(c=='S')stream=drop_next(is_sq,stream);
            else if(c=='s')stream=drop_prev(is_sq,stream);
            else if(c=='C')stream=drop_next(is_cb,stream);
            else if(c=='c')stream=drop_prev(is_cb,stream);
            else if(c=='h')stream=drop_n(is_le,100,stream);
            else if(c=='2')stream=drop_n(is_multiple,2,stream);
            else if(c=='3')stream=drop_n(is_multiple,3,stream);
            else if(c=='4')stream=drop_n(is_multiple,4,stream);
            else if(c=='5')stream=drop_n(is_multiple,5,stream);
            else if(c=='6')stream=drop_n(is_multiple,6,stream);
            else if(c=='7')stream=drop_n(is_multiple,7,stream);
            else if(c=='8')stream=drop_n(is_multiple,8,stream);
            else if(c=='9')stream=drop_n(is_multiple,9,stream);
            else return 0;
        }
        int ctr=0;
        for(NSNumber *num in stream){
            if(ctr>0)putchar(',');
            printf("%lld",[num longLongValue]);
            if(++ctr==10)break;
        }
        puts("");
        fflush(stdout);
    }
}
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