結果

問題 No.1627 三角形の成立
ユーザー n_vipn_vip
提出日時 2021-07-23 22:44:12
言語 C++17
(gcc 12.3.0 + boost 1.83.0)
結果
AC  
実行時間 136 ms / 1,000 ms
コード長 10,878 bytes
コンパイル時間 1,961 ms
コンパイル使用メモリ 154,172 KB
実行使用メモリ 24,424 KB
最終ジャッジ日時 2024-07-18 18:48:32
合計ジャッジ時間 4,648 ms
ジャッジサーバーID
（参考情報） 		judge4 / judge3
このコードへのチャレンジ
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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 58 ms
22,116 KB
testcase_01 AC 58 ms
22,124 KB
testcase_02 AC 58 ms
22,124 KB
testcase_03 AC 62 ms
21,992 KB
testcase_04 AC 59 ms
22,120 KB
testcase_05 AC 136 ms
24,352 KB
testcase_06 AC 107 ms
23,560 KB
testcase_07 AC 88 ms
23,656 KB
testcase_08 AC 122 ms
23,956 KB
testcase_09 AC 76 ms
22,504 KB
testcase_10 AC 108 ms
24,424 KB
testcase_11 AC 91 ms
23,612 KB
testcase_12 AC 108 ms
24,008 KB
testcase_13 AC 73 ms
22,888 KB
testcase_14 AC 115 ms
23,972 KB
testcase_15 AC 99 ms
23,272 KB
testcase_16 AC 62 ms
22,508 KB
testcase_17 AC 114 ms
23,672 KB
testcase_18 AC 106 ms
23,584 KB
testcase_19 AC 55 ms
22,124 KB
testcase_20 AC 55 ms
22,120 KB
testcase_21 AC 56 ms
22,120 KB
testcase_22 AC 55 ms
22,124 KB
testcase_23 AC 55 ms
22,012 KB
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 # 

#include <string>
#include <vector>
#include<iostream>
#include<cstdio>
#include<cstdlib>
#include<stack>
#include<queue>
#include<cmath>
#include<algorithm>
#include<functional>
#include<list>
#include<deque>
#include<bitset>
#include<set>
#include<map>
#include<unordered_map>
#include<unordered_set>
#include<cstring>
#include<sstream>
#include<complex>
#include<iomanip>
#include<numeric>
#include<cassert>
#include<random>
#define X first
#define Y second
#define pb push_back
#define rep(X,Y) for (int (X) = 0;(X) < (int)(Y);++(X))
#define reps(X,S,Y) for (int (X) = (int)(S);(X) < (int)(Y);++(X))
#define rrep(X,Y) for (int (X) = (int)(Y)-1;(X) >=0;--(X))
#define rreps(X,S,Y) for (int (X) = (int)(Y)-1;(X) >= (int)(S);--(X))
#define repe(X,Y) for ((X) = 0;(X) < (Y);++(X))
#define peat(X,Y) for (;(X) < (Y);++(X))
#define all(X) (X).begin(),(X).end()
#define rall(X) (X).rbegin(),(X).rend()
#define eb emplace_back
#define UNIQUE(X) (X).erase(unique(all(X)),(X).end())
#define Endl endl
#define NL <<"\n"
#define cauto const auto

using namespace std;
using ll=long long;
using pii=pair<int,int>;
using pll=pair<ll,ll>;
template<class T> using vv=vector<vector<T>>;
template<class T> inline bool MX(T &l,const T &r){return l<r?l=r,1:0;}
template<class T> inline bool MN(T &l,const T &r){return l>r?l=r,1:0;}
//#undef NUIP
#ifdef NUIP
#include "benri.h"
#else
#define out(args...)
#endif
void ouT(ll x,int d=3){auto re=to_string(x);if((int)re.size()>d) re=x>0?"oo":"-oo";cout<<string(d-re.size(),' ')<<re<<",";}
#ifdef __cpp_init_captures
template<typename T>vector<T> table(int n, T v){ return vector<T>(n, v);}
template <class... Args> auto table(int n, Args... args){auto val = table(args...); return vector<decltype(val)>(n, move(val));}
#endif
template<class A,class B> pair<A,B> operator+(const pair<A,B> &p,const pair<A,B> &q){ return {p.X+q.X,p.Y+q.Y};}
template<class A,class B,class C,class D> pair<A,B>& operator+=(pair<A,B> &p,const pair<C,D> &q){ p.X+=q.X; p.Y+=q.Y; return p;}
template<class A,class B> pair<A,B> operator-(const pair<A,B> &p,const pair<A,B> &q){ return {p.X-q.X,p.Y-q.Y};}
template<class A,class B,class C,class D> pair<A,B>& operator-=(pair<A,B> &p,const pair<C,D> &q){ p.X-=q.X; p.Y-=q.Y; return p;}
template<class A,class B> istream& operator>>(istream &is, pair<A,B> &p){ is>>p.X>>p.Y; return is;}
template<class T=ll> T read(){ T re; cin>>re; return re;}
template<class T=ll> T read(const T &dec){ T re; cin>>re; return re-dec;}
template<class T=ll> vector<T> readV(const int sz){ vector<T> re(sz); for(auto &x:re) x=read<T>(); return re;}
template<class T=ll> vector<T> readV(const int sz, const T &dec){ vector<T> re(sz); for(auto &x:re) x=read<T>(dec); return re;}
vv<int> readG(const int &n,const int &m){ vv<int> g(n); rep(_,m){ cauto a=read<int>(1),b=read<int>(1); g[a].pb(b); g[b].pb(a);} return g;}
vv<int> readG(const int &n){ return readG(n,n-1);}
vv<int> readD(const int &n,const int &m){ vv<int> g(n); rep(_,m){ cauto a=read<int>(1),b=read<int>(1); g[a].pb(b); } return g;}
vv<int> readD(const int &n){ return readD(n,n-1);}
template<class T> vv<pair<int,T>> readG(const int &n,const int &m){ vv<pair<int,T>> g(n); rep(_,m){ cauto a=read<int>(1),b=read<int>(1); cauto c=read<T>(); g[a].eb(b,c); g[b].eb(a,c);} return g;}
template<class T> vv<pair<int,T>> readG(const int &n){ return readG<T>(n,n-1);}
template<class T> vv<pair<int,T>> readD(const int &n,const int &m){ vv<pair<int,T>> g(n); rep(_,m){ cauto a=read<int>(1),b=read<int>(1); cauto c=read<T>(); g[a].eb(b,c); } return g;}
template<class T> vv<pair<int,T>> readD(const int &n){ return readD<T>(n,n-1);}
#ifdef __cpp_init_captures
template<typename T> vector<T> readT(int n, T v){ return readV(n,v);}
template <class... Args> auto readT(int n, Args... args){ vector re(1,readT(args...));rep(_,n-1) re.eb(readT(args...));	return re;}
template<typename T, size_t... Is> void addadd(T& t1, const T& t2, integer_sequence<size_t, Is...>){ cauto l = { (get<Is>(t1) += get<Is>(t2), 0)... }; (void)l;}
template <typename...T>tuple<T...>& operator += (tuple<T...>& lhs, const tuple<T...>& rhs){	addadd(lhs, rhs, index_sequence_for<T...>{});	return lhs;}
template <typename...T>tuple<T...> operator +(tuple<T...> lhs, const tuple<T...>& rhs){ return lhs += rhs;}
template<typename T, size_t... Is> void subsub(T& t1, const T& t2, integer_sequence<size_t, Is...>){ cauto l = { (get<Is>(t1) -= get<Is>(t2), 0)... }; (void)l;}
template <typename...T>tuple<T...>& operator -= (tuple<T...>& lhs, const tuple<T...>& rhs){	subsub(lhs, rhs, index_sequence_for<T...>{});	return lhs;}
template <typename...T>tuple<T...> operator - (tuple<T...> lhs, const tuple<T...>& rhs){ return lhs -= rhs;}
template<class Tuple, size_t... Is> void read_tuple_impl(istream &is, Tuple& t, index_sequence<Is...>){((is >> get<Is>(t)), ...);}
template<class... Args> auto& operator>>(istream &is, tuple<Args...>& t){ read_tuple_impl(is, t, index_sequence_for<Args...>{}); return is;}
#endif
#define TT cauto TTT=read();rep(_,TTT)
const ll MOD=1e9+7; //998244353;

ll modpow_(ll r,ll n,ll m=MOD){
  ll re=1,d=r%m;
  if(n<0)(n%=m-1)+=m-1;
  for(;n;n/=2){
    if(n&1)(re*=d)%=m;
    (d*=d)%=m;
  }
  return re;
}
template <int mod=MOD> struct ModInt{
  int v;
  ModInt(int v=0):v(v){}
  ModInt operator+(const ModInt &n)const{return v+n.v<mod ? v+n.v : v+n.v-mod;}
  ModInt operator-(const ModInt &n)const{return v-n.v<0 ? v-n.v+mod : v-n.v;}
  ModInt operator*(const ModInt &n)const{return ll(v)*n.v%mod;}
  ModInt operator/(const ModInt &n)const{return ll(v)*modpow_(n.v%mod,-1,mod)%mod;}
  ModInt operator+(const ll &n)const{return v+n<mod ? v+n : v+n-mod;}
  ModInt operator-(const ll &n)const{return v-n<0 ? v-n+mod : v-n;}
  ModInt operator*(const ll &n)const{return ll(v)*(n%mod)%mod;}
  ModInt operator/(const ll &n)const{return ll(v)*modpow_(n%mod,-1,mod)%mod;}
  ModInt& operator+=(const ModInt &n){v+=n.v; if(v>=mod) v-=mod; return *this;}
  ModInt& operator-=(const ModInt &n){v-=n.v; if(v<0) v+=mod; return *this;}
  ModInt& operator*=(const ModInt &n){v=ll(v)*n.v%mod; return *this;}
  ModInt& operator/=(const ModInt &n){v=ll(v)*modpow_(n.v,-1,mod)%mod; return *this;}
  ModInt& operator+=(const ll &n){v+=n; if(v>=mod) v-=mod; return *this;}
  ModInt& operator-=(const ll &n){v-=n; if(v<0) v+=mod; return *this;}
  ModInt& operator*=(const ll &n){v=ll(v)*n%mod; return *this;}
  ModInt& operator/=(const ll &n){v=ll(v)*modpow_(n,-1,mod)%mod; return *this;}
	bool operator==(const ModInt &n)const{return v==n.v;};
	bool operator!=(const ModInt &n)const{return v!=n.v;};
	ModInt& operator++(){ return operator+=(1); }
	ModInt& operator--(){ return operator-=(1); }
	ModInt operator++(int i){ ModInt tmp(*this); operator++(); return tmp; }
	ModInt operator--(int i){ ModInt tmp(*this); operator--(); return tmp; }
};
#ifdef NUIP
class MINT_FRAC____{
public:
	unordered_map<int,pii> dict;
	MINT_FRAC____(int n){
		rep(p,n+1)reps(q,1,n+1)if(__gcd(p,q)==1){
			dict[1ll*p*modpow_(q,-1)%MOD]=pii(p,q);
			dict[MOD-1ll*p*modpow_(q,-1)%MOD]=pii(-p,q);
		}
	}
} Il1Il1Il1(1000);
template<int mod> ostream& operator<<(ostream &os,const ModInt<mod> &n){if(Il1Il1Il1.dict.count(n.v)) os<<n.v, cerr<<"("<<Il1Il1Il1.dict[n.v].X<<"/"<<Il1Il1Il1.dict[n.v].Y<<")";else os<<n.v;return os;};
#else
template<int mod> ostream& operator<<(ostream &os,const ModInt<mod> &n){return os<<n.v;};
#endif
template<int mod> ModInt<mod> operator+(const ll &n,const ModInt<mod> &m){return m.v+n<mod ? m.v+n : m.v+n-mod;}
template<int mod> ModInt<mod> operator-(const ll &n,const ModInt<mod> &m){return n-m.v<0 ? n-m.v+mod : n-m.v;}
template<int mod> ModInt<mod> operator*(const ll &n,const ModInt<mod> &m){return ll(m.v)*(n%mod)%mod;}
template<int mod> ModInt<mod> operator/(const ll &n,const ModInt<mod> &m){return ModInt<mod>(n%mod)/m;}
typedef ModInt<MOD> mint;
template <int mod> ModInt<mod> modpow(ModInt<mod> r,ll n){ ModInt<mod> re(1); if(n<0)(n%=mod-1)+=mod-1; for(;n;n/=2){if(n&1) re*=r; r*=r;} return re;}
vector<mint> fact,finv,inv;
mint comb(ll n,ll r){ if(n<r||r<0)return 0; return fact[n]*finv[n-r]*finv[r];}
class Doralion{
  void Modinvs(vector<mint> &re,int n){ re.resize(n+1); re[1]=1; for(int i=2;i<=n;++i)re[i]=re[MOD%i]*(MOD-MOD/i);}
  void Facts(vector<mint> &re,int n){ re.resize(n+1); re[0]=1; rep(i,n)re[i+1]=re[i]*(i+1);}
  void Factinvs(vector<mint> &re,const vector<mint> &inv,int n){ re.resize(n+1); re[0]=1; rep(i,n)re[i+1]=re[i]*inv[i+1];}
public:
  Doralion(int n){ Modinvs(inv,n); Facts(fact,n); Factinvs(finv,inv,n);}
} doralion(1123456);
using pmm=pair<mint,mint>;
mint modpow(ll r,ll n){ return modpow_(r,n);}

mint c3(const mint n){
	return n*(n-1)*(n-2)*finv[3];
}

mint bf(const int n,const int m){
	vector<pii> ps;
	map<pii,int> cnt;
	int re=0;
	rep(i,n)rep(j,m) ps.eb(j,i);
	for(cauto &p:ps){
		for(cauto &q:ps){
			if(p==q) break;
			for(cauto &r:ps){
				if(r==q) break;
				cauto &[x,y]=p-r;
				cauto &[X,Y]=q-r;
				if(x*Y==X*y){
					cauto dx=abs(x);
					cauto dy=abs(y);
					cauto g=__gcd(dx,dy);
					++cnt[{dx/g,dy/g}];
					continue;
				}
				++re;
			}
		}
	}
	out(cnt,1);
	return re;
}

vector<int> primes,prime;
vv<pii> facts;
class PRPRPR{
public:
  PRPRPR(int PRIME_MAX){
    prime.resize(PRIME_MAX);
    for(int i=2;i<PRIME_MAX;i++)if(!prime[i]){
				primes.pb(i);
				for(int j=i*2;j<PRIME_MAX;j+=i)
					prime[j]=1;
      }
		// fact();
  }
	void fact(){
		facts.resize(prime.size());
		for(cauto &p:primes){
			for(ll i=p;i<(int)facts.size();i+=p) facts[i].eb(p,1);
			for(ll pp=1ll*p*p;pp<(int)facts.size();pp*=p){
				for(ll i=pp;i<facts.size();i+=pp)	++facts[i].back().Y;
			}
		}
	}
} prprprpr(1123456);

vector<mint> get(const int n, const int d){
	vector<mint> re(n/d+1);
	for(auto j=d;j<=n;j+=d){
		reps(k,1,MOD){
			cauto l=min(k*j,n);
			cauto r=min((k+1)*j,n);
			if(l==r) break;
			re[k]+=r-l;
		}
	}
	return re;
}

int main(){
	ios_base::sync_with_stdio(false); cin.tie(0);
	cout<<fixed<<setprecision(0);
	vector<int> sgn(212345,1); sgn[0]=0;
	for(cauto &p:primes){
		for(auto i=p;i<sgn.size();i+=p) sgn[i]*=-1;
		for(auto i=1ll*p*p;i<sgn.size();i+=1ll*p*p) sgn[i]=0;
	}
	cauto n=read();
	cauto m=read();
	mint re=c3(mint(n)*m);
	re-=c3(n)*m;
	re-=c3(m)*n;
	out(re,c3(n)*m,c3(m)*n,1);
	// map<pii,mint> cnt;
	// rep(y,n)reps(dy,1,y+1)rep(x,m)reps(dx,1,x+1)if(__gcd(dx,dy)==1){
	// 	cauto t=min(x/dx,y/dy);
	// 	re-=mint(t)*(t-1);
	// 	cnt[{dx,dy}]+=mint(t)*(t-1);
	// }
	// out(cnt,1);
	reps(d,1,n+1)if(sgn[d]){
		auto vs=get(n,d);
		auto us=get(m,d);
		cauto sz=max(vs.size(),us.size());
		vs.resize(sz+1); rrep(i,sz-1) vs[i]+=vs[i+1];
		us.resize(sz+1); rrep(i,sz-1) us[i]+=us[i+1];
		mint sum=0;
		rep(i,sz) sum+=(vs[i]*us[i]-vs[i+1]*us[i+1])*i*(i-1);
		// rep(i,vs.size())rep(j,us.size()) sum+=vs[i]*us[j]*min(i,j)*(min(i,j)-1);
		if(sum.v) out(d,sum,1);
		if(sgn[d]>0) re-=sum;
		else re+=sum;
	}
	cout<<re NL;
	out(bf(n,m),1);
	return 0;
}
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