結果

問題 No.856 増える演算
ユーザー SumitacchanSumitacchan
提出日時 2019-07-26 23:03:03
言語 C++14
(gcc 12.3.0 + boost 1.83.0)
結果
WA  
実行時間 -
コード長 6,547 bytes
コンパイル時間 1,762 ms
コンパイル使用メモリ 177,176 KB
実行使用メモリ 22,988 KB
最終ジャッジ日時 2024-07-02 09:05:10
合計ジャッジ時間 32,045 ms
ジャッジサーバーID
（参考情報） 		judge5 / judge2
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 317 ms
22,072 KB
testcase_01 AC 315 ms
22,076 KB
testcase_02 AC 317 ms
22,068 KB
testcase_03 AC 316 ms
22,068 KB
testcase_04 AC 314 ms
22,072 KB
testcase_05 AC 315 ms
22,072 KB
testcase_06 AC 313 ms
22,072 KB
testcase_07 AC 314 ms
22,072 KB
testcase_08 AC 315 ms
22,072 KB
testcase_09 AC 318 ms
22,068 KB
testcase_10 AC 314 ms
22,068 KB
testcase_11 AC 316 ms
22,076 KB
testcase_12 AC 315 ms
21,948 KB
testcase_13 AC 316 ms
21,948 KB
testcase_14 AC 314 ms
22,080 KB
testcase_15 AC 317 ms
22,076 KB
testcase_16 AC 309 ms
22,072 KB
testcase_17 AC 315 ms
22,080 KB
testcase_18 AC 314 ms
22,076 KB
testcase_19 AC 313 ms
22,068 KB
testcase_20 AC 314 ms
22,080 KB
testcase_21 AC 313 ms
22,072 KB
testcase_22 AC 315 ms
22,076 KB
testcase_23 AC 321 ms
22,132 KB
testcase_24 AC 322 ms
22,144 KB
testcase_25 AC 320 ms
22,084 KB
testcase_26 AC 316 ms
22,076 KB
testcase_27 AC 317 ms
22,072 KB
testcase_28 AC 318 ms
22,132 KB
testcase_29 AC 316 ms
22,120 KB
testcase_30 AC 321 ms
22,116 KB
testcase_31 AC 317 ms
22,092 KB
testcase_32 AC 318 ms
22,128 KB
testcase_33 AC 321 ms
22,176 KB
testcase_34 AC 327 ms
22,176 KB
testcase_35 AC 322 ms
22,088 KB
testcase_36 AC 327 ms
22,288 KB
testcase_37 AC 327 ms
22,260 KB
testcase_38 AC 317 ms
22,220 KB
testcase_39 AC 316 ms
22,240 KB
testcase_40 AC 321 ms
22,152 KB
testcase_41 AC 318 ms
22,164 KB
testcase_42 AC 330 ms
22,324 KB
testcase_43 AC 317 ms
22,152 KB
testcase_44 AC 317 ms
22,076 KB
testcase_45 AC 317 ms
22,108 KB
testcase_46 AC 320 ms
22,168 KB
testcase_47 AC 326 ms
22,144 KB
testcase_48 AC 329 ms
22,228 KB
testcase_49 AC 323 ms
22,164 KB
testcase_50 AC 326 ms
22,240 KB
testcase_51 AC 330 ms
22,292 KB
testcase_52 AC 328 ms
22,188 KB
testcase_53 AC 355 ms
22,476 KB
testcase_54 AC 341 ms
22,380 KB
testcase_55 AC 357 ms
22,464 KB
testcase_56 AC 346 ms
22,092 KB
testcase_57 AC 356 ms
22,512 KB
testcase_58 AC 348 ms
22,252 KB
testcase_59 AC 369 ms
22,696 KB
testcase_60 AC 341 ms
22,432 KB
testcase_61 AC 368 ms
22,712 KB
testcase_62 AC 363 ms
22,628 KB
testcase_63 AC 319 ms
22,092 KB
testcase_64 AC 358 ms
22,572 KB
testcase_65 AC 332 ms
22,176 KB
testcase_66 AC 343 ms
22,172 KB
testcase_67 AC 354 ms
22,412 KB
testcase_68 AC 367 ms
22,628 KB
testcase_69 AC 362 ms
22,600 KB
testcase_70 AC 372 ms
22,780 KB
testcase_71 AC 365 ms
22,640 KB
testcase_72 AC 356 ms
22,532 KB
testcase_73 AC 380 ms
22,736 KB
testcase_74 AC 380 ms
22,736 KB
testcase_75 AC 378 ms
22,732 KB
testcase_76 AC 381 ms
22,860 KB
testcase_77 AC 380 ms
22,860 KB
testcase_78 AC 376 ms
22,984 KB
testcase_79 AC 387 ms
22,732 KB
testcase_80 AC 379 ms
22,856 KB
testcase_81 AC 378 ms
22,860 KB
testcase_82 WA -
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;
struct fast_ios { fast_ios(){ cin.tie(0); ios::sync_with_stdio(false); cout << fixed << setprecision(20); }; } fast_ios_;
#define FOR(i, begin, end) for(int i=(begin);i<(end);i++)
#define REP(i, n) FOR(i,0,n)
#define IFOR(i, begin, end) for(int i=(end)-1;i>=(begin);i--)
#define IREP(i, n) IFOR(i,0,n)
#define Sort(v) sort(v.begin(), v.end())
#define Reverse(v) reverse(v.begin(), v.end())
#define all(v) v.begin(),v.end()
#define SZ(v) ((int)v.size())
#define Lower_bound(v, x) distance(v.begin(), lower_bound(v.begin(), v.end(), x))
#define Upper_bound(v, x) distance(v.begin(), upper_bound(v.begin(), v.end(), x))
#define Max(a, b) a = max(a, b)
#define Min(a, b) a = min(a, b)
#define bit(n) (1LL<<(n))
#define bit_exist(x, n) ((x >> n) & 1)
#define debug(x) cout << #x << "=" << x << endl;
#define vdebug(v) cout << #v << "=" << endl; REP(i_debug, v.size()){ cout << v[i_debug] << ","; } cout << endl;
#define mdebug(m) cout << #m << "=" << endl; REP(i_debug, m.size()){ REP(j_debug, m[i_debug].size()){ cout << m[i_debug][j_debug] << ","; } cout << endl;}
#define pb push_back
#define f first
#define s second
#define int long long
#define INF 1000000000000000000
template<typename T> istream &operator>>(istream &is, vector<T> &v){ for (auto &x : v) is >> x; return is; }
template<typename T> ostream &operator<<(ostream &os, vector<T> &v){ for(int i = 0; i < v.size(); i++) { cout << v[i]; if(i != v.size() - 1) cout << endl; }; return os; }
template<typename T> void Out(T x) { cout << x << endl; }
template<typename T1, typename T2> void Ans(bool f, T1 y, T2 n) { if(f) Out(y); else Out(n); }

using vec = vector<int>;
using mat = vector<vec>;
using Pii = pair<int, int>;
using PiP = pair<int, Pii>;
using PPi = pair<Pii, int>;
using bools = vector<bool>;
using pairs = vector<Pii>;

//int dx[4] = {1,0,-1,0};
//int dy[4] = {0,1,0,-1};
//char d[4] = {'D','R','U','L'};

const int mod = 1000000007;
//const int mod = 998244353;
#define Add(x, y) x = (x + (y)) % mod
#define Mult(x, y) x = (x * (y)) % mod

template<long long MOD>
struct ModInt{

    using ll = long long;
    ll val;

    void setval(ll v) { val = v % MOD; };
    ModInt(): val(0) {}
    ModInt(ll v) { setval(v); };

    ModInt operator+(const ModInt &x) const { return ModInt(val + x.val); }
    ModInt operator-(const ModInt &x) const { return ModInt(val - x.val + MOD); }
    ModInt operator*(const ModInt &x) const { return ModInt(val * x.val); }
    ModInt operator/(const ModInt &x) const { return *this * x.inv(); }
    ModInt operator-() const { return ModInt(MOD - val); }
    ModInt operator+=(const ModInt &x) { return *this = *this + x; }
    ModInt operator-=(const ModInt &x) { return *this = *this - x; }
    ModInt operator*=(const ModInt &x) { return *this = *this * x; }
    ModInt operator/=(const ModInt &x) { return *this = *this / x; }

    friend ostream& operator<<(ostream &os, const ModInt &x) { os << x.val; return os; }
    friend istream& operator>>(istream &is, ModInt &x) { is >> x.val; x.val = (x.val % MOD + MOD) % MOD; return is; }

    ModInt pow(ll n) const {
        ModInt a = 1;
        if(n == 0) return a;
        int i0 = 64 - __builtin_clzll(n);
        for(int i = i0 - 1; i >= 0; i--){
            a = a * a;
            if((n >> i) & 1) a *= (*this); 
        }
        return a;
    }
    ModInt inv() const { return this->pow(MOD - 2); }
};

using mint = ModInt<mod>; mint pow(mint x, long long n) { return x.pow(n); }
//using mint = double; //for debug
using mvec = vector<mint>;
using mmat = vector<mvec>;

struct Combination{

    vector<mint> fact, invfact;

    Combination(int N){
        fact = vector<mint>({mint(1)});
        invfact = vector<mint>({mint(1)});
        fact_initialize(N);
    }

    void fact_initialize(int N){
        int i0 = fact.size();
        if(i0 >= N + 1) return;
        fact.resize(N + 1);
        invfact.resize(N + 1);
        for(int i = i0; i <= N; i++) fact[i] = fact[i - 1] * i;
        invfact[N] = (mint)1 / fact[N];
        for(int i = N - 1; i >= i0; i--) invfact[i] = invfact[i + 1] * (i + 1); 
    }

    mint nCr(int n, int r){
        if(n < 0 || r < 0 || r > n) return mint(0);
        if(fact.size() < n + 1) fact_initialize(n);
        return fact[n] * invfact[r] * invfact[n - r];
    }

    mint nPr(int n, int r){
        if(n < 0 || r < 0 || r > n) return mint(0);
        if(fact.size() < n + 1) fact_initialize(n);
        return fact[n] * invfact[n - r];
    }

};

//N=2^n, e^N=1
template<long long MOD>
void NTT(vector<ModInt<MOD>> &f, ModInt<MOD> e){
    int N = f.size();
    if(N == 1) return;
    N /= 2;
    vector<ModInt<MOD>> f0(N), f1(N);
    REP(i, N){
        f0[i].val = f[2 * i].val;
        f1[i].val = f[2 * i + 1].val;
    }
    ModInt<MOD> e2 = e * e;
    NTT(f0, e2);
    NTT(f1, e2);

    ModInt<MOD> c = 1;
    REP(i, N){
        f[i] = f0[i] + f1[i] * c;
        c *= e;
    }
    REP(i, N){
        f[i + N] = f0[i] + f1[i] * c;
        c *= e;
    }
}

template<long long MOD>
vector<ModInt<MOD>> convolution(vector<ModInt<MOD>> A, vector<ModInt<MOD>> B, ModInt<MOD> e){
    int N = A.size();
    NTT(A, e);
    NTT(B, e);
    vector<ModInt<MOD>> C(N);
    REP(i, N) C[i] = A[i] * B[i];
    e = e.inv();
    NTT(C, e);
    ModInt<MOD> invN = ((ModInt<MOD>)N).inv();
    REP(i, N) C[i] *= invN;
    return C;
}

vec conv(vec A, vec B){
    using MINT = ModInt<924844033>;
    int n = bit(19);
    MINT e = ((MINT)5).pow((924844033 - 1) / n);
    vector<MINT> a(n), b(n);
    REP(i, SZ(A)){
        a[i].val = A[i];
        b[i].val = B[i];
    }
    NTT(a, e);
    NTT(b, e);
    REP(i, n) a[i] *= b[i];
    NTT(a, e.inv());
    vec C(n);
    MINT r = ((MINT)n).inv();
    REP(i, n) C[i] = (a[i] * r).val;
    return C;
}

signed main(){

    int N; cin >> N;
    vec A(N); cin >> A;
    
    long double vmin = INF;
    int m = A[0];
    mint mmin;
    FOR(i, 1, N){
        long double v = logl((long double)(m + A[i])) + (long double)A[i] * logl((long double)m);
        if(v < vmin){
            vmin = v;
            mmin = (mint)(m + A[i]) * pow((mint)m, A[i]);
        }
        Min(m, A[i]);
    }
    //debug(mmin);

    vec cnt(100001, 0);
    REP(i, N) cnt[A[i]]++;
    cnt = conv(cnt, cnt);
    REP(i, N) cnt[2 * A[i]]--;
    mint a1 = 1;
    REP(i, SZ(cnt)) a1 *= pow((mint)i, cnt[i] / 2);
    //debug(a1);

    mint a2 = 1;
    int s = 0;
    IREP(i, N){
        a2 *= pow((mint)A[i], s);
        s += A[i];
    }

    mint ans = a1 * a2 / mmin;
    Out(ans);

    return 0;
}
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