結果

問題 No.940 ワープ　ε=ε=ε=ε=ε=│;p>д＜│
ユーザー rniyarniya
提出日時 2020-10-05 23:37:46
言語 C++14
(gcc 12.3.0 + boost 1.83.0)
結果
AC  
実行時間 64 ms / 5,000 ms
コード長 6,089 bytes
コンパイル時間 1,637 ms
コンパイル使用メモリ 172,256 KB
実行使用メモリ 31,320 KB
最終ジャッジ日時 2024-07-19 22:30:03
合計ジャッジ時間 3,668 ms
ジャッジサーバーID
（参考情報） 		judge4 / judge1
このコードへのチャレンジ
（要ログイン）

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 32 ms
26,512 KB
testcase_01 AC 32 ms
26,708 KB
testcase_02 AC 34 ms
26,616 KB
testcase_03 AC 33 ms
26,508 KB
testcase_04 AC 32 ms
26,712 KB
testcase_05 AC 34 ms
26,704 KB
testcase_06 AC 32 ms
26,572 KB
testcase_07 AC 32 ms
26,600 KB
testcase_08 AC 32 ms
26,508 KB
testcase_09 AC 32 ms
26,708 KB
testcase_10 AC 33 ms
26,704 KB
testcase_11 AC 33 ms
26,692 KB
testcase_12 AC 32 ms
26,704 KB
testcase_13 AC 33 ms
26,692 KB
testcase_14 AC 32 ms
26,620 KB
testcase_15 AC 34 ms
27,000 KB
testcase_16 AC 41 ms
27,656 KB
testcase_17 AC 47 ms
28,740 KB
testcase_18 AC 50 ms
29,316 KB
testcase_19 AC 48 ms
28,704 KB
testcase_20 AC 56 ms
30,152 KB
testcase_21 AC 42 ms
27,880 KB
testcase_22 AC 56 ms
30,000 KB
testcase_23 AC 40 ms
27,592 KB
testcase_24 AC 57 ms
30,172 KB
testcase_25 AC 62 ms
30,728 KB
testcase_26 AC 64 ms
31,320 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 <bits/stdc++.h>
using namespace std;
#define LOCAL
#pragma region Macros
typedef long long ll;
#define ALL(x) (x).begin(),(x).end()
const long long MOD=1000000007;
// const long long MOD=998244353;
const int INF=1e9;
const long long IINF=1e18;
const int dx[4]={1,0,-1,0},dy[4]={0,1,0,-1};
const char dir[4]={'D','R','U','L'};

template<typename T>
istream &operator>>(istream &is,vector<T> &v){
    for (T &x:v) is >> x;
    return is;
}
template<typename T>
ostream &operator<<(ostream &os,const vector<T> &v){
    for (int i=0;i<v.size();++i){
        os << v[i] << (i+1==v.size()?"": " ");
    }
    return os;
}
template<typename T,typename U>
ostream &operator<<(ostream &os,const pair<T,U> &p){
    os << '(' << p.first << ',' << p.second << ')';
    return os;
}
template<typename T,typename U>
ostream &operator<<(ostream &os,const map<T,U> &m){
    os << '{';
    for (auto itr=m.begin();itr!=m.end();++itr){
        os << '(' << itr->first << ',' << itr->second << ')';
        if (++itr!=m.end()) os << ',';
        --itr;
    }
    os << '}';
    return os;
}
template<typename T>
ostream &operator<<(ostream &os,const set<T> &s){
    os << '{';
    for (auto itr=s.begin();itr!=s.end();++itr){
        os << *itr;
        if (++itr!=s.end()) os << ',';
        --itr;
    }
    os << '}';
    return os;
}

void debug_out(){cerr << '\n';}
template<class Head,class... Tail>
void debug_out(Head&& head,Tail&&... tail){
    cerr << head;
    if (sizeof...(Tail)>0) cerr << ", ";
    debug_out(move(tail)...);
}
#ifdef LOCAL
#define debug(...) cerr << " ";\
cerr << #__VA_ARGS__ << " :[" << __LINE__ << ":" << __FUNCTION__ << "]" << '\n';\
cerr << " ";\
debug_out(__VA_ARGS__)
#else
#define debug(...) 42
#endif

template<typename T> T gcd(T x,T y){return y!=0?gcd(y,x%y):x;}
template<typename T> T lcm(T x,T y){return x/gcd(x,y)*y;}

template<class T1,class T2> inline bool chmin(T1 &a,T2 b){
    if (a>b){a=b; return true;} return false;
}
template<class T1,class T2> inline bool chmax(T1 &a,T2 b){
    if (a<b){a=b; return true;} return false;
}
#pragma endregion

template<uint32_t mod> class modint{
    using i64=int64_t;
    using u32=uint32_t;
    using u64=uint64_t;
public:
    u32 v;
    constexpr modint(const i64 x=0) noexcept :v(x<0?mod-1-(-(x+1)%mod):x%mod){}
    constexpr u32 &value() noexcept {return v;}
    constexpr const u32 &value() const noexcept {return v;}
    constexpr modint operator+(const modint &rhs) const noexcept {return modint(*this)+=rhs;}
    constexpr modint operator-(const modint &rhs) const noexcept {return modint(*this)-=rhs;}
    constexpr modint operator*(const modint &rhs) const noexcept {return modint(*this)*=rhs;}
    constexpr modint operator/(const modint &rhs) const noexcept {return modint(*this)/=rhs;}
    constexpr modint &operator+=(const modint &rhs) noexcept {
        v+=rhs.v;
        if (v>=mod) v-=mod;
        return *this;
    }
    constexpr modint &operator-=(const modint &rhs) noexcept {
        if (v<rhs.v) v+=mod;
        v-=rhs.v;
        return *this;
    }
    constexpr modint &operator*=(const modint &rhs) noexcept {
        v=(u64)v*rhs.v%mod;
        return *this;
    }
    constexpr modint &operator/=(const modint &rhs) noexcept {
        return *this*=rhs.pow(mod-2);
    }
    constexpr modint pow(u64 exp) const noexcept {
        modint self(*this),res(1);
        while (exp>0){
            if (exp&1) res*=self;
            self*=self; exp>>=1;
        }
        return res;
    }
    constexpr modint &operator++() noexcept {if (++v==mod) v=0; return *this;}
    constexpr modint &operator--() noexcept {if (v==0) v=mod; return --v,*this;}
    constexpr modint operator++(int) noexcept {modint t=*this; return ++*this,t;}
    constexpr modint operator--(int) noexcept {modint t=*this; return --*this,t;}
    template<class T> friend constexpr modint operator+(T x,modint y) noexcept {return modint(x)+y;}
    template<class T> friend constexpr modint operator-(T x,modint y) noexcept {return modint(x)-y;}
    template<class T> friend constexpr modint operator*(T x,modint y) noexcept {return modint(x)*y;}
    template<class T> friend constexpr modint operator/(T x,modint y) noexcept {return modint(x)/y;}
    constexpr bool operator==(const modint &rhs) const noexcept {return v==rhs.v;}
    constexpr bool operator!=(const modint &rhs) const noexcept {return v!=rhs.v;}
    constexpr bool operator!() const noexcept {return !v;}
    friend istream &operator>>(istream &s,modint &rhs) noexcept {
        i64 v; rhs=modint{(s>>v,v)}; return s;
    }
    friend ostream &operator<<(ostream &s,const modint &rhs) noexcept {
        return s<<rhs.v;
    }
};

template<class M>
struct Combination{
    vector<M> _fac,_inv,_finv;
    Combination(int n):_fac(n+1),_inv(n+1),_finv(n+1){
        _fac[0]=_finv[n]=_inv[0]=1;
        for (int i=1;i<=n;++i) _fac[i]=_fac[i-1]*i;
        _finv[n]/=_fac[n];
        for (int i=n-1;i>=0;--i) _finv[i]=_finv[i+1]*(i+1);
        for (int i=1;i<=n;++i) _inv[i]=_finv[i]*_fac[i-1];
    }
    M fac(int k) const {return _fac[k];}
    M finv(int k) const {return _finv[k];}
    M inv(int k) const {return _inv[k];}
    M P(int n,int r) const {
        if (n<0||r<0||n<r) return 0;
        return _fac[n]*_finv[n-r];
    }
    M C(int n,int r) const {
        if (n<0||r<0||n<r) return 0;
        return _fac[n]*_finv[r]*_finv[n-r];
    }
};

using mint=modint<MOD>;

int main(){
    cin.tie(0);
    ios::sync_with_stdio(false);
    Combination<mint> COM(2000010);
    int X,Y,Z; cin >> X >> Y >> Z;
    int N=X+Y+Z;
    if (!N){cout << 1 << '\n'; return 0;}

    vector<mint> A(N+1,0);
    mint power=mint(2).pow(N+1);
    for (int i=0;i<=N;++i) A[i]+=COM.C(N+1,i)*power;
    A[0]-=1;
    mint sum0=0,sum1=0;
    for (int i=0;i<=N;++i,sum0*=2,sum1*=2){
        mint org=A[i];
        A[i]+=sum0-sum1;
        sum0+=org;
        swap(sum0,sum1);
    }

    mint ans=0;
    for (int i=0;i<=N;++i){
        mint add=COM.C(i,X)*COM.C(i,Y)*COM.C(i,Z)*A[i];
        if ((i+X+Y+Z)&1) ans-=add;
        else ans+=add;
    }

    cout << ans/2 << '\n';
}
0