結果

問題 No.1809 Divide NCK
ユーザー hotman78hotman78
提出日時 2022-01-14 21:57:02
言語 C++17
(gcc 12.3.0 + boost 1.83.0)
結果
WA  
実行時間 -
コード長 8,642 bytes
コンパイル時間 3,801 ms
コンパイル使用メモリ 238,264 KB
実行使用メモリ 5,248 KB
最終ジャッジ日時 2024-11-20 09:57:29
合計ジャッジ時間 4,929 ms
ジャッジサーバーID
（参考情報） 		judge2 / judge5
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テストケース

テストケース表示
入力 結果 実行時間
実行使用メモリ
testcase_00 AC 2 ms
5,248 KB
testcase_01 AC 2 ms
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testcase_02 AC 2 ms
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testcase_03 AC 2 ms
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testcase_04 AC 2 ms
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testcase_05 AC 2 ms
5,248 KB
testcase_06 AC 2 ms
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testcase_07 AC 2 ms
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testcase_08 AC 2 ms
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testcase_09 AC 2 ms
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testcase_10 AC 2 ms
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testcase_11 AC 2 ms
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testcase_12 AC 3 ms
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testcase_13 AC 2 ms
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testcase_14 AC 2 ms
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testcase_15 WA -
testcase_16 AC 2 ms
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testcase_17 AC 2 ms
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testcase_18 AC 3 ms
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testcase_19 AC 2 ms
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testcase_20 AC 2 ms
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testcase_21 AC 2 ms
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testcase_22 AC 2 ms
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testcase_23 AC 2 ms
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testcase_24 AC 2 ms
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testcase_25 AC 2 ms
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testcase_26 AC 2 ms
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testcase_27 AC 2 ms
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testcase_28 AC 2 ms
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testcase_29 AC 2 ms
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testcase_30 AC 2 ms
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testcase_31 AC 2 ms
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testcase_32 AC 2 ms
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testcase_33 AC 2 ms
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testcase_34 AC 2 ms
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testcase_35 AC 2 ms
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testcase_36 AC 2 ms
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testcase_37 AC 2 ms
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testcase_38 AC 2 ms
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testcase_39 AC 2 ms
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testcase_40 AC 2 ms
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testcase_41 AC 2 ms
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権限があれば一括ダウンロードができます

ソースコード

diff # 

#line 2 "cpplib/util/template.hpp"
#pragma GCC optimize("Ofast")
#pragma GCC optimize("unroll-loops")
#pragma GCC target("avx2")
#include<bits/stdc++.h>
using namespace std;
struct __INIT__{__INIT__(){cin.tie(0);ios::sync_with_stdio(false);cout<<fixed<<setprecision(15);cerr<<fixed<<setprecision(15);}}__INIT__;
typedef long long lint;
#define INF (1LL<<60)
#define IINF (1<<30)
#define EPS (1e-10)
#define endl ('\n')
typedef vector<lint> vec;
typedef vector<vector<lint>> mat;
typedef vector<vector<vector<lint>>> mat3;
typedef vector<string> svec;
typedef vector<vector<string>> smat;
template<typename T>using V=vector<T>;
template<typename T>using VV=V<V<T>>;
template<typename T>inline void output(T t){bool f=0;for(auto i:t){cout<<(f?" ":"")<<i;f=1;}cout<<endl;}
template<typename T>inline void output2(T t){for(auto i:t)output(i);}
template<typename T>inline void debug(const T& t){
    #ifdef DEBUG
    for(auto e=begin(t);e!=end(t);++e)cerr<<*e<<" ";
    cerr<<endl;
    #endif
}
template<typename T>inline void debug2(T t){for(auto i:t)debug(i);}
#define loop(n) for(long long _=0;_<(long long)(n);++_)
#define _overload4(_1,_2,_3,_4,name,...) name
#define __rep(i,a) repi(i,0,a,1)
#define _rep(i,a,b) repi(i,a,b,1)
#define repi(i,a,b,c) for(long long i=(long long)(a);i<(long long)(b);i+=c)
#define rep(...) _overload4(__VA_ARGS__,repi,_rep,__rep)(__VA_ARGS__)
#define _overload3_rev(_1,_2,_3,name,...) name
#define _rep_rev(i,a) repi_rev(i,0,a)
#define repi_rev(i,a,b) for(long long i=(long long)(b)-1;i>=(long long)(a);--i)
#define rrep(...) _overload3_rev(__VA_ARGS__,repi_rev,_rep_rev)(__VA_ARGS__)

// #define rep(i,...) for(auto i:range(__VA_ARGS__)) 
// #define rrep(i,...) for(auto i:reversed(range(__VA_ARGS__)))
// #define repi(i,a,b) for(lint i=lint(a);i<(lint)(b);++i)
// #define rrepi(i,a,b) for(lint i=lint(b)-1;i>=lint(a);--i)
// #define irep(i) for(lint i=0;;++i)
// inline vector<long long> range(long long n){if(n<=0)return vector<long long>();vector<long long>v(n);iota(v.begin(),v.end(),0LL);return v;}
// inline vector<long long> range(long long a,long long b){if(b<=a)return vector<long long>();vector<long long>v(b-a);iota(v.begin(),v.end(),a);return v;}
// inline vector<long long> range(long long a,long long b,long long c){if((b-a+c-1)/c<=0)return vector<long long>();vector<long long>v((b-a+c-1)/c);for(int i=0;i<(int)v.size();++i)v[i]=i?v[i-1]+c:a;return v;}
// template<typename T>inline T reversed(T v){reverse(v.begin(),v.end());return v;}
#define all(n) begin(n),end(n)
template<typename T,typename E>bool chmin(T& s,const E& t){bool res=s>t;s=min<T>(s,t);return res;}
template<typename T,typename E>bool chmax(T& s,const E& t){bool res=s<t;s=max<T>(s,t);return res;}
const string ds="DRUL";
const vector<lint> dx={1,0,-1,0,1,1,-1,-1};
const vector<lint> dy={0,1,0,-1,1,-1,1,-1};
#define SUM(v) accumulate(all(v),0LL)
#if __cplusplus>=201703L
    template<typename T,typename ...Args>auto make_vector(T x,int arg,Args ...args){if constexpr(sizeof...(args)==0)return vector<T>(arg,x);else return vector(arg,make_vector<T>(x,args...));}
#endif
#define extrep(v,...) for(auto v:__MAKE_MAT__({__VA_ARGS__}))
#define bit(n,a) ((n>>a)&1)
vector<vector<long long>> __MAKE_MAT__(vector<long long> v){if(v.empty())return vector<vector<long long>>(1,vector<long long>());long long n=v.back();v.pop_back();vector<vector<long long>> ret;vector<vector<long long>> tmp=__MAKE_MAT__(v);for(auto e:tmp)for(long long i=0;i<n;++i){ret.push_back(e);ret.back().push_back(i);}return ret;}
using graph=vector<vector<int>>;
template<typename T>using graph_w=vector<vector<pair<int,T>>>;
template<typename T,typename E>ostream& operator<<(ostream& out,pair<T,E>v){out<<"("<<v.first<<","<<v.second<<")";return out;}
#if __cplusplus>=201703L
    constexpr inline long long powll(long long a,long long b){long long res=1;while(b--)res*=a;return res;}
#endif

template<typename T,typename E>pair<T,E>& operator+=(pair<T,E>&s,const pair<T,E>&t){s.first+=t.first;s.second+=t.second;return s;}
template<typename T,typename E>pair<T,E>& operator-=(pair<T,E>&s,const pair<T,E>&t){s.first-=t.first;s.second-=t.second;return s;}
template<typename T,typename E>pair<T,E> operator+(const pair<T,E>&s,const pair<T,E>&t){auto res=s;return res+=t;}
template<typename T,typename E>pair<T,E> operator-(const pair<T,E>&s,const pair<T,E>&t){auto res=s;return res-=t;}
// 128*1024*1024
#define BEGIN_STACK_EXTEND(size) void * stack_extend_memory_ = malloc(size);void * stack_extend_origin_memory_;char * stack_extend_dummy_memory_ = (char*)alloca((1+(int)(((long long)stack_extend_memory_)&127))*16);*stack_extend_dummy_memory_ = 0;asm volatile("mov %%rsp, %%rbx\nmov %%rax, %%rsp":"=b"(stack_extend_origin_memory_):"a"((char*)stack_extend_memory_+(size)-1024));
#define END_STACK_EXTEND asm volatile("mov %%rax, %%rsp"::"a"(stack_extend_origin_memory_));free(stack_extend_memory_);
#line 1 "cpplib/util/int128.hpp"
std::ostream &operator<<(std::ostream &dest, __int128_t value) {
    std::ostream::sentry s(dest);
    if(s){
        __uint128_t tmp = value < 0 ? -value : value;
        char buffer[128];
        char *d = std::end(buffer);
        do {
            --d;
            *d = "0123456789"[tmp % 10];
            tmp /= 10;
        } while (tmp != 0);
        if (value < 0) {
            --d;
            *d = '-';
        }
        int len = std::end(buffer) - d;
        if (dest.rdbuf()->sputn(d, len) != len) {
            dest.setstate(std::ios_base::badbit);
        }
    }
    return dest;
}
__int128 parse(string &s) {
    __int128 ret = 0;
    bool neg=0;
    if(s[0]=='-')neg=1;
    for (int i = neg; i < (int)s.length(); i++)
        if ('0' <= s[i] && s[i] <= '9')
            ret = 10 * ret + s[i] - '0';
    return neg?-ret:ret;
}
std::istream &operator>>(std::istream &dest, __int128_t& value){
    string s;
    dest>>s;
    value=parse(s);
    return dest;
}
__int128_t gcd(const __int128_t &a,const __int128_t &b) {
	return b?gcd(b,a%b):a;
}
inline __int128_t lcm(const __int128_t &a,const __int128_t &b) {
	return a/gcd(a,b)*b;
}
#line 3 "cpplib/math/binary_search.hpp"
/**
 * @brief 二分探索
 */
template<typename T=long long,typename F>
T bs(T mn,T mx,F func){
    mn--;
    mx++;
	while(mx-mn>1){
		T mid=(mn+mx)/2;
		if(!func(mid))mx=mid;
		else mn=mid;
	}
    return mn;
}
#line 2 "cpplib/math/is_prime.hpp"
#include <initializer_list>
/**
 * @brief 素数判定(高速)
 */
bool is_prime(long long n){
    if(n<=1)return 0;
    if(n==2)return 1;
    if(n%2==0)return 0;
    long long s=0,d=n-1;
    while(d%2)d/=2,s++;
    auto mod_pow=[](__int128_t a,__int128_t b,__int128_t n){
        long long res=1;
        while(b){
            if(b%2)res=res*a%n;
            a=a*a%n;
            b/=2;
        }
        return (long long)(res);
    };
    for(long long e:{2,3,5,7,11,13,17,19,23,29,31,37}){
        if(n<=e)break;
        if(mod_pow(e,d,n)==1)continue;
        bool b=1;
        for(int i=0;i<s;i++){
            if(mod_pow(e,d<<i,n)==n-1)b=0;
        }
        if(b)return 0;
    }
    return 1;
}
#line 8 "cpplib/math/prime_factor.hpp"

/**
 * @brief 素因数分解(高速)
 */

void __prime_factor(long long n,long long& c,std::vector<long long>& v){
    if(n==1)return;
    if(n%2==0){
        v.emplace_back(2);
        __prime_factor(n/2,c,v);
        return;
    }
    if(is_prime(n)){
        v.emplace_back(n);
        return;
    }
    while(1){
        long long x=2,y=2,d=1;
        while(d==1){
            x=((__int128_t)x*x+c)%n;
            y=((__int128_t)y*y%n+c)%n;
            y=((__int128_t)y*y%n+c)%n;
            d=std::gcd(std::abs(x-y),n);
        }
        if(d==n){
            c++;
            continue;
        }
        __prime_factor(d,c,v);
        __prime_factor(n/d,c,v);
        return;
    }
}

std::map<long long,long long> prime_factor(long long n){
    std::vector<long long>v;
    long long c=1;
    __prime_factor(n,c,v);
    std::map<long long,long long>m;
    for(auto e:v){
        m[e]++;
    }
    return m;
}
#line 5 "main.cpp"

int main(){
    lint n,k,m;
    cin>>n>>k>>m;
    auto ma=prime_factor(m);
    lint ans=1LL<<61;
    for(auto [s,t]:ma){
        lint res=0;
        lint m2=s;
        {
            lint tmp=n;
            while(tmp){
                tmp/=m2;
                res+=tmp;
            }
        }
        {
            lint tmp=k;
            while(tmp){
                tmp/=m2;
                res-=tmp;
            }
        }
        {
            lint tmp=n-k;
            while(tmp){
                tmp/=m2;
                res-=tmp;
            }
        }
        chmin(ans,res/t);
    }
    cout<<ans<<endl;
}
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