#line 2 "cpplib/util/template.hpp" #pragma GCC optimize("Ofast") #pragma GCC optimize("unroll-loops") #pragma GCC target("avx2") #include using namespace std; struct __INIT__{__INIT__(){cin.tie(0);ios::sync_with_stdio(false);cout< vec; typedef vector> mat; typedef vector>> mat3; typedef vector svec; typedef vector> smat; templateusing V=vector; templateusing VV=V>; templateinline void output(T t){bool f=0;for(auto i:t){cout<<(f?" ":"")<inline void output2(T t){for(auto i:t)output(i);} templateinline void debug(const T& t){ #ifdef DEBUG for(auto e=begin(t);e!=end(t);++e)cerr<<*e<<" "; cerr<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 range(long long n){if(n<=0)return vector();vectorv(n);iota(v.begin(),v.end(),0LL);return v;} // inline vector range(long long a,long long b){if(b<=a)return vector();vectorv(b-a);iota(v.begin(),v.end(),a);return v;} // inline vector range(long long a,long long b,long long c){if((b-a+c-1)/c<=0)return vector();vectorv((b-a+c-1)/c);for(int i=0;i<(int)v.size();++i)v[i]=i?v[i-1]+c:a;return v;} // templateinline T reversed(T v){reverse(v.begin(),v.end());return v;} #define all(n) begin(n),end(n) templatebool chmin(T& s,const E& t){bool res=s>t;s=min(s,t);return res;} templatebool chmax(T& s,const E& t){bool res=s(s,t);return res;} const string ds="DRUL"; const vector dx={1,0,-1,0,1,1,-1,-1}; const vector dy={0,1,0,-1,1,-1,1,-1}; #define SUM(v) accumulate(all(v),0LL) #if __cplusplus>=201703L templateauto make_vector(T x,int arg,Args ...args){if constexpr(sizeof...(args)==0)return vector(arg,x);else return vector(arg,make_vector(x,args...));} #endif #define extrep(v,...) for(auto v:__MAKE_MAT__({__VA_ARGS__})) #define bit(n,a) ((n>>a)&1) vector> __MAKE_MAT__(vector v){if(v.empty())return vector>(1,vector());long long n=v.back();v.pop_back();vector> ret;vector> tmp=__MAKE_MAT__(v);for(auto e:tmp)for(long long i=0;i>; templateusing graph_w=vector>>; templateostream& operator<<(ostream& out,pairv){out<<"("<=201703L constexpr inline long long powll(long long a,long long b){long long res=1;while(b--)res*=a;return res;} #endif templatepair& operator+=(pair&s,const pair&t){s.first+=t.first;s.second+=t.second;return s;} templatepair& operator-=(pair&s,const pair&t){s.first-=t.first;s.second-=t.second;return s;} templatepair operator+(const pair&s,const pair&t){auto res=s;return res+=t;} templatepair operator-(const pair&s,const pair&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 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 /** * @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& 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 prime_factor(long long n){ std::vectorv; long long c=1; __prime_factor(n,c,v); std::mapm; 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 m2=0; for(auto [s,t]:ma){ chmax(m2,powll(s,t)); } m=m2; __int128_t res=0; { lint tmp=n; while(tmp){ tmp/=m; res+=tmp; } } { lint tmp=k; while(tmp){ tmp/=m; res-=tmp; } } { lint tmp=n-k; while(tmp){ tmp/=m; res-=tmp; } } cout<