結果

問題 No.1084 積の積
ユーザー micheeeeell1001micheeeeell1001
提出日時 2020-06-19 22:47:55
言語 C++17
(gcc 13.2.0 + boost 1.83.0)
結果
AC  
実行時間 129 ms / 2,000 ms
コード長 6,047 bytes
コンパイル時間 2,075 ms
コンパイル使用メモリ 206,828 KB
実行使用メモリ 5,484 KB
最終ジャッジ日時 2023-09-16 15:02:26
合計ジャッジ時間 5,279 ms
ジャッジサーバーID
（参考情報） 		judge11 / judge14
このコードへのチャレンジ（β）

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 2 ms
4,376 KB
testcase_01 AC 2 ms
4,376 KB
testcase_02 AC 1 ms
4,380 KB
testcase_03 AC 2 ms
4,376 KB
testcase_04 AC 62 ms
5,444 KB
testcase_05 AC 18 ms
5,484 KB
testcase_06 AC 27 ms
5,408 KB
testcase_07 AC 1 ms
4,376 KB
testcase_08 AC 2 ms
4,376 KB
testcase_09 AC 23 ms
5,072 KB
testcase_10 AC 1 ms
4,376 KB
testcase_11 AC 6 ms
4,384 KB
testcase_12 AC 54 ms
4,376 KB
testcase_13 AC 112 ms
5,172 KB
testcase_14 AC 42 ms
4,376 KB
testcase_15 AC 38 ms
4,376 KB
testcase_16 AC 129 ms
5,380 KB
testcase_17 AC 50 ms
4,376 KB
testcase_18 AC 84 ms
4,724 KB
testcase_19 AC 113 ms
5,116 KB
testcase_20 AC 26 ms
4,384 KB
testcase_21 AC 41 ms
4,376 KB
testcase_22 AC 32 ms
4,376 KB
testcase_23 AC 68 ms
4,376 KB
testcase_24 AC 61 ms
4,380 KB
testcase_25 AC 112 ms
5,380 KB
testcase_26 AC 125 ms
5,408 KB
testcase_27 AC 125 ms
5,380 KB
testcase_28 AC 125 ms
5,308 KB
testcase_29 AC 124 ms
5,480 KB
testcase_30 AC 125 ms
5,332 KB
testcase_31 AC 125 ms
5,484 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 # 

#ifdef LOCAL
#define _GLIBCXX_DEBUG
#endif
#include<bits/stdc++.h>
using namespace std;
#define rep(i,s,t) for(ll i = (ll)(s); i < (ll)(t); i++)
#define rrep(i,s,t) for(ll i = (ll)(s-1);(ll)(t) <= i; i--)
#define all(x) (x).begin(), (x).end()
typedef long long ll;
typedef long double ld;
typedef pair<ll,ll> Pll;
typedef vector<ll> vl;
typedef vector<vl> vvl;
typedef vector<vvl> vvvl;
constexpr ll INF = numeric_limits<ll>::max()/4;
constexpr ll n_max = 2e5+10;
#define int ll

template <typename A, typename B>
string to_string(pair<A, B> p);
string to_string(const string &s) {return '"' + s + '"';}
string to_string(const char *c) {return to_string((string) c);}
string to_string(bool b) {return (b ? "true" : "false");}
template <size_t N>
string to_string(bitset<N> v){
    string res = "";
    for(size_t i = 0; i < N; i++) res += static_cast<char>('0' + v[i]);
    return res;
}
template <typename A>
string to_string(A v) {
    bool first = true;
    string res = "{";
    for(const auto &x : v) {
        if(!first) res += ", ";
        first = false;
        res += to_string(x);
    }
    res += "}";
    return res;
}
template <typename A, typename B>
string to_string(pair<A, B> p){return "(" + to_string(p.first) + ", " + to_string(p.second) + ")";}

void debug_out() {cerr << endl;}
template<typename Head, typename... Tail>
void debug_out(Head H, Tail... T) {
    cerr << " " << to_string(H);
    debug_out(T...);
}

#ifdef LOCAL
#define debug(...) cerr << "[" << #__VA_ARGS__ << "]:", debug_out(__VA_ARGS__)
#else
#define debug(...) 42
#endif

template<class T>
bool chmax(T &a, T b){if(a < b){a = b; return true;} return false;}
template<class T>
bool chmin(T &a, T b){if(a > b){a = b; return true;} return false;}
template<std::int_fast64_t Modulus>
class modint {
    using i64 = int_fast64_t;

    public:
    i64 a;

    constexpr modint(const i64 x = 0) noexcept {
        this -> a = x % Modulus;
        if(a < 0){
            a += Modulus;
        }
    }
    constexpr int getmod() { return Modulus; }
    constexpr modint operator - () const noexcept {
        return a ? Modulus - a : 0;
    }
    constexpr const i64 &value() const noexcept {return a;}
    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 {
        a += rhs.a;
        if(a >= Modulus) {
            a -= Modulus;
        }
        return *this;
    }
    constexpr modint &operator-=(const modint rhs) noexcept {
        if(a < rhs.a) {
            a += Modulus;
        }
        a -= rhs.a;
        return *this;
    }
    constexpr modint &operator*=(const modint rhs) noexcept {
        a = a * rhs.a % Modulus;
        return *this;
    }
    constexpr modint &operator/=(modint rhs) noexcept {
        i64 a_ = rhs.a, b = Modulus, u = 1, v = 0;
        while(b){
            i64 t = a_/b;
            a_ -= t * b; swap(a_,b);
            u -= t * v; swap(u,v);
        }
        a = a * u % Modulus;
        if(a < 0) a += Modulus;
        return *this;
    }
    
    // 自前実装
    constexpr bool operator==(const modint rhs) noexcept {
        return a == rhs.a;
    }
    constexpr bool operator!=(const modint rhs) noexcept {
        return a != rhs.a;
    }
    constexpr bool operator>(const modint rhs) noexcept {
        return a > rhs.a;
    }
    constexpr bool operator>=(const modint rhs) noexcept {
        return a >= rhs.a;
    }
    constexpr bool operator<(const modint rhs) noexcept {
        return a < rhs.a;
    }
    constexpr bool operator<=(const modint rhs) noexcept {
        return a <= rhs.a;
    }
    constexpr modint& operator++() noexcept {
        return (*this) += modint(1);
    }
    // constexpr modint operator++(int) {
    //     modint tmp(*this);
    //     operator++();
    //     return tmp;
    // }
    constexpr modint& operator--() noexcept {
        return (*this) -= modint(1);
    }
    // constexpr modint operator--(int) {
    //     modint tmp(*this);
    //     operator--();
    //     return tmp;
    // }
    template<typename T>
    friend constexpr modint modpow(const modint &mt, T n) noexcept {
        if(n < 0){
            modint t = (modint(1) / mt);
            return modpow(t, -n);
        }
        modint res = 1, tmp = mt;
        while(n){
            if(n & 1)res *= tmp;
            tmp *= tmp;
            n /= 2;
        }
        return res;
    }
};

const ll MOD = 1e9+7;
using mint = modint<MOD>;
// 標準入出力対応
std::ostream &operator<<(std::ostream &out, const modint<MOD> &m) {
    out << m.a;
    return out;
}
std::istream &operator>>(std::istream &in, modint<MOD> &m) {
    ll a;
    in >> a;
    m = mint(a);
    return in;
}


string to_string(mint m){
    return to_string(m.a);
}
signed main(){
    cin.tie(nullptr);
    ios::sync_with_stdio(false);
    ll n; cin >> n;
    vector<ll> a(n);
    for(int i = 0; i < n; i++) cin >> a[i];

    vector<mint> dp(n+1), dp2(n+1);
    dp[0] = dp2[0] = 1;

    rep(i,0,n){
        dp[i+1] = dp[i] * modpow(mint(a[i]), n - i);
        dp2[i+1] = dp2[i] * a[i];
    }

    if(*min_element(all(a)) == 0){
        cout << 0 << endl;
        return 0;
    }
    debug(dp, dp2, a);
    mint ans = 1;

    ll right = 0;
    
    ll sum = 1;
    rep(left, 0, n){
        while(right < n && (sum * a[right]) < 1e9) {
            sum *= a[right];
            ++right;
            debug(sum, right);
        }

        ll len = right - left;
        ans *= (dp[right] / dp[left]) / modpow(dp2[right] / dp2[left], n-right);
        debug(left, right, ans, sum);
        if(right == left) ++right;
        else sum /= a[left];
    }

    cout << ans << endl;
    
}
0