QOJ.ac

QOJ

IDProblemSubmitterResultTimeMemoryLanguageFile sizeSubmit timeJudge time
#795944#9804. Guess the Polygonucup-team1134#WA 1ms3804kbC++2314.7kb2024-12-01 04:56:302024-12-01 04:56:30

Judging History

This is the latest submission verdict.

  • [2024-12-01 04:56:30]
  • Judged
  • Verdict: WA
  • Time: 1ms
  • Memory: 3804kb
  • [2024-12-01 04:56:30]
  • Submitted

answer

#include <bits/stdc++.h>
using namespace std;
typedef long long ll;
template<class T>bool chmax(T &a, const T &b) { if (a<b) { a=b; return true; } return false; }
template<class T>bool chmin(T &a, const T &b) { if (b<a) { a=b; return true; } return false; }
#define vi vector<int>
#define vl vector<ll>
#define vii vector<pair<int,int>>
#define vvi vector<vector<int>>
#define vvl vector<vector<ll>>
#define vvii vector<vector<pair<int,int>>>
#define vvll vector<vector<pair<ll,ll>>>
#define vst vector<string>
#define pii pair<int,int>
#define pll pair<ll,ll>
#define pb push_back
#define all(x) (x).begin(),(x).end()
#define mkunique(x) sort(all(x));(x).erase(unique(all(x)),(x).end())
#define fi first
#define se second
#define mp make_pair
#define si(x) int(x.size())
const int mod=998244353,MAX=300005,INF=15<<26;

//多倍長

// https://github.com/beet-aizu/library/blob/master/tools/bigint.cpp

namespace FFT{
using dbl = double;

struct num{
    dbl x,y;
    num(){x=y=0;}
    num(dbl x,dbl y):x(x),y(y){}
};

inline num operator+(num a,num b){
    return num(a.x+b.x,a.y+b.y);
}
inline num operator-(num a,num b){
    return num(a.x-b.x,a.y-b.y);
}
inline num operator*(num a,num b){
    return num(a.x*b.x-a.y*b.y,a.x*b.y+a.y*b.x);
}
inline num conj(num a){
    return num(a.x,-a.y);
}

int base=1;
vector<num> rts={{0,0},{1,0}};
vector<int> rev={0,1};

const dbl PI=asinl(1)*2;

void ensure_base(int nbase){
    if(nbase<=base) return;
    
    rev.resize(1<<nbase);
    for(int i=0;i<(1<<nbase);i++)
        rev[i]=(rev[i>>1]>>1)+((i&1)<<(nbase-1));
    
    rts.resize(1<<nbase);
    while(base<nbase){
        dbl angle=2*PI/(1<<(base+1));
        for(int i=1<<(base-1);i<(1<<base);i++){
            rts[i<<1]=rts[i];
            dbl angle_i=angle*(2*i+1-(1<<base));
            rts[(i<<1)+1]=num(cos(angle_i),sin(angle_i));
        }
        base++;
    }
}

void fft(vector<num> &as){
    int n=as.size();
    assert((n&(n-1))==0);
    
    int zeros=__builtin_ctz(n);
    ensure_base(zeros);
    int shift=base-zeros;
    for(int i=0;i<n;i++)
        if(i<(rev[i]>>shift))
            swap(as[i],as[rev[i]>>shift]);
    
    for(int k=1;k<n;k<<=1){
        for(int i=0;i<n;i+=2*k){
            for(int j=0;j<k;j++){
                num z=as[i+j+k]*rts[j+k];
                as[i+j+k]=as[i+j]-z;
                as[i+j]=as[i+j]+z;
            }
        }
    }
}

template<typename T>
vector<long long> multiply(vector<T> &as,vector<T> &bs){
    int need=as.size()+bs.size()-1;
    int nbase=0;
    while((1<<nbase)<need) nbase++;
    ensure_base(nbase);
    
    int sz=1<<nbase;
    vector<num> fa(sz);
    for(int i=0;i<sz;i++){
        T x=(i<(int)as.size()?as[i]:0);
        T y=(i<(int)bs.size()?bs[i]:0);
        fa[i]=num(x,y);
    }
    fft(fa);
    
    num r(0,-0.25/sz);
    for(int i=0;i<=(sz>>1);i++){
        int j=(sz-i)&(sz-1);
        num z=(fa[j]*fa[j]-conj(fa[i]*fa[i]))*r;
        if(i!=j)
            fa[j]=(fa[i]*fa[i]-conj(fa[j]*fa[j]))*r;
        fa[i]=z;
    }
    fft(fa);
    
    vector<long long> res(need);
    for(int i=0;i<need;i++)
        res[i]=round(fa[i].x);
    
    return res;
}

};
//BEGIN CUT HERE
struct bigint {
    using ll = long long;
    using vll = vector<ll>;
    
    inline static constexpr ll base_digits = 9;
    inline static constexpr ll base = 1000000000;
    
    vll a;
    ll sign;
    
    bigint():sign(1){}
    
    bigint(ll v){*this=v;}
    
    bigint(const string &s){read(s);}
    
    static bigint add_identity(){return bigint(0);}
    static bigint mul_identity(){return bigint(1);}
    
    void operator=(ll v){
        sign=1;
        if(v<0) sign=-1,v=-v;
        for(;v>0;v=v/base) a.emplace_back(v%base);
    }
    
    bigint operator+(const bigint &v) const{
        if(sign==v.sign){
            bigint res=v;
            for(ll i=0,carry=0;i<(ll)max(a.size(),v.a.size()) or carry;++i){
                if(i==(ll)res.a.size()) res.a.emplace_back(0);
                res.a[i]+=carry+(i<(ll)a.size()?a[i]:0);
                carry=res.a[i]>=base;
                if(carry) res.a[i]-=base;
            }
            return res;
        }
        return *this-(-v);
    }
    
    bigint operator-(const bigint &v) const{
        if(sign==v.sign){
            if(abs()>=v.abs()){
                bigint res=*this;
                for(ll i=0,carry=0;i<(ll)v.a.size() or carry;++i){
                    res.a[i]-=carry+(i<(ll)v.a.size()?v.a[i]:0);
                    carry=res.a[i]<0;
                    if(carry) res.a[i]+=base;
                }
                res.trim();
                return res;
            }
            return -(v-*this);
        }
        return *this+(-v);
    }
    
    void operator*=(ll v){
        if(v<0) sign=-sign,v=-v;
        for(ll i=0,carry=0;i<(ll)a.size() or  carry;++i){
            if(i ==(ll)a.size()) a.emplace_back(0);
            ll cur=a[i] *(ll)v+carry;
            carry=(ll)(cur/base);
            a[i]=(ll)(cur%base);
            // asm("divl %%ecx" : "=a"(carry),"=d"(a[i]) : "A"(cur),"c"(base));
        }
        trim();
    }
    
    bigint operator*(ll v) const{
        bigint res=*this;
        res*=v;
        return res;
    }
    
    friend pair<bigint,bigint> divmod(const bigint &a1,const bigint &b1){
        ll norm=base/(b1.a.back()+1);
        bigint a=a1.abs()*norm;
        bigint b=b1.abs()*norm;
        bigint q,r;
        q.a.resize(a.a.size());
        
        for(ll i=a.a.size()-1;i>=0;i--){
            r *=base;
            r+=a.a[i];
            ll s1=r.a.size()<=b.a.size() ? 0 : r.a[b.a.size()];
            ll s2=r.a.size()<=b.a.size()-1 ? 0 : r.a[b.a.size()-1];
            ll d=((ll)base*s1+s2)/b.a.back();
            r-=b*d;
            while(r<0) r+=b,--d;
            q.a[i]=d;
        }
        
        q.sign=a1.sign*b1.sign;
        r.sign=a1.sign;
        q.trim();
        r.trim();
        return make_pair(q,r/norm);
    }
    
    bigint operator/(const bigint &v) const{
        return divmod(*this,v).first;
    }
    
    bigint operator%(const bigint &v) const{
        return divmod(*this,v).second;
    }
    
    void operator/=(ll v){
        if(v<0) sign=-sign,v=-v;
        for(ll i=(ll)a.size()-1,rem=0;i>=0;--i){
            ll cur=a[i]+rem *(ll)base;
            a[i]=(ll)(cur/v);
            rem=(ll)(cur%v);
        }
        trim();
    }
    
    bigint operator/(ll v) const{
        bigint res=*this;
        res/=v;
        return res;
    }
    
    ll operator%(ll v) const{
        if(v<0) v=-v;
        ll m=0;
        for(ll i=a.size()-1;i>=0;--i) m=(a[i]+m*(ll)base)%v;
        return m*sign;
    }
    
    void operator+=(const bigint &v){
        *this=*this+v;
    }
    
    void operator-=(const bigint &v){
        *this=*this-v;
    }
    
    void operator*=(const bigint &v){
        *this=*this*v;
    }
    
    void operator/=(const bigint &v){
        *this=*this/v;
    }
    
    bool operator<(const bigint &v) const{
        if(sign!=v.sign) return sign<v.sign;
        if(a.size()!=v.a.size()) return a.size()*sign<v.a.size()*v.sign;
        for(ll i=a.size()-1;i>=0;i--)
            if(a[i]!=v.a[i]) return a[i]*sign<v.a[i]*sign;
        return false;
    }
    
    bool operator>(const bigint &v) const{
        return v<*this;
    }
    
    bool operator<=(const bigint &v) const{
        return !(v<*this);
    }
    
    bool operator>=(const bigint &v) const{
        return !(*this<v);
    }
    
    bool operator==(const bigint &v) const{
        return !(*this<v) and !(v<*this);
    }
    
    bool operator!=(const bigint &v) const{
        return *this<v or v<*this;
    }
    
    void trim(){
        while(!a.empty() and !a.back()) a.pop_back();
        if(a.empty()) sign=1;
    }
    
    bool isZero() const{
        return a.empty() or (a.size()==1 and !a[0]);
    }
    
    bigint operator-() const{
        bigint res=*this;
        res.sign=-sign;
        return res;
    }
    
    bigint abs() const{
        bigint res=*this;
        res.sign*=res.sign;
        return res;
    }
    
    ll longValue() const{
        ll res=0;
        for(ll i=a.size()-1;i>=0;i--) res=res*base+a[i];
        return res*sign;
    }
    
    friend bigint gcd(const bigint &a,const bigint &b){
        return b.isZero()?a:gcd(b,a%b);
    }
    
    friend bigint lcm(const bigint &a,const bigint &b){
        return a/gcd(a,b)*b;
    }
    
    void read(const string &s){
        sign=1;
        a.clear();
        ll pos=0;
        while(pos<(ll)s.size() and (s[pos]=='-' or s[pos]=='+')){
            if(s[pos]=='-') sign=-sign;
            ++pos;
        }
        for(ll i=s.size()-1;i>=pos;i-=base_digits){
            ll x=0;
            for(ll j=max(pos,i-base_digits+1);j<=i;j++) x=x*10+s[j]-'0';
            a.emplace_back(x);
        }
        trim();
    }
    
    friend istream &operator>>(istream &stream,bigint &v){
        string s;
        stream>>s;
        v.read(s);
        return stream;
    }
    
    friend ostream &operator<<(ostream &stream,const bigint &v){
        if(v.sign==-1) stream<<'-';
        stream<<(v.a.empty()?0:v.a.back());
        for(ll i=(ll)v.a.size()-2;i>=0;--i)
            stream<<setw(base_digits)<<setfill('0')<<v.a[i];
        return stream;
    }
    
    static vll convert_base(const vll &a,ll old_digits,ll new_digits){
        vll p(max(old_digits,new_digits)+1);
        p[0]=1;
        for(ll i=1;i<(ll)p.size();i++) p[i]=p[i-1]*10;
        vll res;
        ll cur=0;
        ll cur_digits=0;
        for(ll i=0;i<(ll)a.size();i++){
            cur+=a[i]*p[cur_digits];
            cur_digits+=old_digits;
            while(cur_digits>=new_digits){
                res.emplace_back(signed(cur%p[new_digits]));
                cur/=p[new_digits];
                cur_digits-=new_digits;
            }
        }
        res.emplace_back((signed)cur);
        while(!res.empty() and !res.back()) res.pop_back();
        return res;
    }
    
    static vll karatsubaMultiply(vll &a,vll &b){
        {
            while(a.size()<b.size()) a.emplace_back(0);
            while(b.size()<a.size()) b.emplace_back(0);
            while(a.size()&(a.size()-1)) a.emplace_back(0),b.emplace_back(0);
        }
        
        ll n=a.size();
        vll res(n+n);
        if(n<=32){
            for(ll i=0;i<n;i++)
                for(ll j=0;j<n;j++)
                    res[i+j]+=a[i]*b[j];
            return res;
        }
        
        ll k=n>>1;
        vll a1(a.begin(),a.begin()+k);
        vll a2(a.begin()+k,a.end());
        vll b1(b.begin(),b.begin()+k);
        vll b2(b.begin()+k,b.end());
        
        vll a1b1=karatsubaMultiply(a1,b1);
        vll a2b2=karatsubaMultiply(a2,b2);
        
        for(ll i=0;i<k;i++) a2[i]+=a1[i];
        for(ll i=0;i<k;i++) b2[i]+=b1[i];
        
        vll r=karatsubaMultiply(a2,b2);
        for(ll i=0;i<(ll)a1b1.size();i++) r[i]-=a1b1[i];
        for(ll i=0;i<(ll)a2b2.size();i++) r[i]-=a2b2[i];
        
        for(ll i=0;i<(ll)r.size();i++) res[i+k]+=r[i];
        for(ll i=0;i<(ll)a1b1.size();i++) res[i]+=a1b1[i];
        for(ll i=0;i<(ll)a2b2.size();i++) res[i+n]+=a2b2[i];
        return res;
    }
    
    bigint operator*(const bigint &v) const{
        constexpr static ll nbase = 10000;
        constexpr static ll nbase_digits = 4;
        
        vll a=convert_base(this->a,base_digits,nbase_digits);
        vll b=convert_base(v.a,base_digits,nbase_digits);
        
        if(a.empty() or b.empty()) return bigint(0);
        
        vll c=karatsubaMultiply(a,b);
        // vll c=FFT::multiply(a,b);
        
        bigint res;
        res.sign=sign*v.sign;
        for(ll i=0,carry=0;i<(ll)c.size();i++){
            ll cur=c[i]+carry;
            res.a.emplace_back((ll)(cur%nbase));
            carry=(ll)(cur/nbase);
            if(i+1==(int)c.size() and carry>0) c.emplace_back(0);
        }
        
        res.a=convert_base(res.a,nbase_digits,base_digits);
        res.trim();
        return res;
    }
};
//END CUT HERE

//有理数

bigint gcdd(bigint a,bigint b){
    if(b==0) return a;
    return gcdd(b,a%b);
}

bigint abss(bigint a){
    if(a>=0) return a;
    else return -a;
}

struct Rational{
    bigint x,y;
    
    Rational(bigint x=0,bigint y=1):x(x),y(y){}
    
    Rational operator + (Rational p){
        bigint z=y/gcdd(y,p.y)*p.y;
        bigint nx=z/y*x+z/p.y*p.x,ny=z;
        bigint g=gcdd(abss(nx),ny);
        return Rational(nx/g,ny/g);
    }
    Rational operator - (Rational p){
        bigint z=y/gcdd(y,p.y)*p.y;
        bigint nx=z/y*x-z/p.y*p.x,ny=z;
        bigint g=gcdd(abss(nx),ny);
        return Rational(nx/g,ny/g);
    }
    Rational operator * (Rational p){
        bigint nx=x*p.x,ny=y*p.y;
        if(ny<0){
            nx*=(-1);
            ny*=(-1);
        }
        bigint g=gcdd(abss(nx),abss(ny));
        return Rational(nx/g,ny/g);
    }
    Rational operator / (Rational p){
        bigint nx=x*p.y,ny=y*p.x;
        if(ny<0){
            nx*=(-1);
            ny*=(-1);
        }
        bigint g=gcdd(abss(nx),abss(ny));
        return Rational(nx/g,ny/g);
    }
    
    bool operator < (const Rational &p)const{
        return x*p.y<y*p.x;
    }
    
    bool operator == (const Rational &p)const{
        return x*p.y==y*p.x;
    }
};


int main(){
    
    int Q;cin>>Q;
    while(Q--){
        ll N;cin>>N;
        vii S;
        vi use;
        for(int i=0;i<N;i++){
            ll a,b;cin>>a>>b;
            use.pb(a);
            S.pb(mp(a,b));
        }
        sort(all(S));
        mkunique(use);
        int l=0;
        vector<Rational> X;
        for(int i=0;i<si(use);i++){
            int r=l;
            while(r<N&&S[r].fi==use[i]) r++;
            if(i==0||i==si(use)-1){
                if(r-l>1){
                    cout<<"? "<<use[i]<<" "<<1<<endl;
                    bigint a,b;cin>>a>>b;
                    X.pb(Rational{a,b});
                }else{
                    X.pb(Rational{0,1});
                }
            }else{
                cout<<"? "<<use[i]<<" "<<1<<endl;
                bigint a,b;cin>>a>>b;
                X.pb(Rational{a,b});
            }
            
            l=r;
        }
        
        Rational ans={0,1};
        
        for(int i=0;i+1<si(use);i++){
            Rational su=X[i]+X[i+1];
            su=su*Rational{use[i+1]-use[i],1};
            ans=ans+su;
        }
        
        ans=ans*Rational{1,2};
        
        cout<<"! "<<ans.x<<" "<<ans.y<<endl;
    }
}

Details

Tip: Click on the bar to expand more detailed information

Test #1:

score: 100
Accepted
time: 1ms
memory: 3804kb

input:

2
4
3 0
1 3
1 1
0 0
2 1
3
0 0
999 1000
1000 999
1999 1000

output:

? 1 1
! 3 1
? 999 1
! 1999 2

result:

ok correct! (2 test cases)

Test #2:

score: -100
Wrong Answer
time: 1ms
memory: 3664kb

input:

9
4
1 1
1 3
3 0
0 0
3 1

output:

? 1 1
! 9 2

result:

wrong answer the answer is incorrect, expect: 5/2, find: 9/2 (test case 1)