結果

問題 No.1084 積の積
ユーザー Imperi_NightImperi_Night
提出日時 2020-06-19 21:59:59
言語 C++17
(gcc 12.3.0 + boost 1.83.0)
結果
AC  
実行時間 133 ms / 2,000 ms
コード長 6,069 bytes
コンパイル時間 1,635 ms
コンパイル使用メモリ 152,640 KB
実行使用メモリ 80,160 KB
最終ジャッジ日時 2023-09-16 14:10:42
合計ジャッジ時間 4,869 ms
ジャッジサーバーID
（参考情報） 		judge12 / judge15
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 2 ms
4,380 KB
testcase_01 AC 1 ms
4,380 KB
testcase_02 AC 1 ms
4,380 KB
testcase_03 AC 2 ms
4,376 KB
testcase_04 AC 133 ms
80,028 KB
testcase_05 AC 7 ms
4,380 KB
testcase_06 AC 131 ms
80,060 KB
testcase_07 AC 1 ms
4,376 KB
testcase_08 AC 1 ms
4,376 KB
testcase_09 AC 13 ms
4,380 KB
testcase_10 AC 1 ms
4,376 KB
testcase_11 AC 5 ms
4,788 KB
testcase_12 AC 47 ms
33,304 KB
testcase_13 AC 104 ms
69,940 KB
testcase_14 AC 33 ms
24,300 KB
testcase_15 AC 31 ms
22,668 KB
testcase_16 AC 117 ms
79,512 KB
testcase_17 AC 42 ms
30,876 KB
testcase_18 AC 72 ms
50,000 KB
testcase_19 AC 105 ms
70,804 KB
testcase_20 AC 22 ms
16,620 KB
testcase_21 AC 34 ms
24,540 KB
testcase_22 AC 26 ms
19,576 KB
testcase_23 AC 59 ms
41,176 KB
testcase_24 AC 53 ms
37,524 KB
testcase_25 AC 106 ms
70,328 KB
testcase_26 AC 119 ms
80,036 KB
testcase_27 AC 119 ms
80,040 KB
testcase_28 AC 118 ms
80,156 KB
testcase_29 AC 119 ms
80,160 KB
testcase_30 AC 119 ms
80,108 KB
testcase_31 AC 119 ms
80,040 KB
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ソースコード

diff # 

#line 1 "main.cpp"
#include <algorithm>
#include <array>
#include <bitset>
#include <cassert>
#include <cctype>
#include <cstdint>
#include <cstdlib>
#include <cmath>
#include <complex>
#include <chrono>
#include <deque>
#include <functional>
#include <iomanip>
#include <iostream>
#include <map>
#include <memory>
#include <numeric>
#include <queue>
#include <set>
#include <stack>
#include <string>
#include <unordered_map>
#include <vector>
#include <random>
#include <utility>
#include <limits>
#include <list>
#include <type_traits>

/* template start */
 
#define rep(i, a, b) for (long long i = (a); (i) < (b); (i)++)
#define all(i) i.begin(), i.end()

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

void debug_out(){std::cerr<<std::endl;}

template<typename Head,typename... Tail>
void debug_out(Head h,Tail... t){
  std::cerr<<" "<<h;
  if(sizeof...(t)>0)std::cout<<" :";
  debug_out(t...);
}
 
template <typename T1, typename T2>
std::ostream& operator<<(std::ostream& os, std::pair<T1, T2> pa) {
  return os << pa.first << " " << pa.second;
}
 
template <typename T>
std::ostream& operator<<(std::ostream& os, std::vector<T> vec) {
  for (std::size_t i = 0; i < vec.size(); i++)os << vec[i] << (i + 1 == vec.size() ? "" : " ");
  return os;
}
 
template<typename T1,typename T2>
inline bool chmax(T1& a,T2 b){return a<b && (a=b,true);}
 
template<typename T1,typename T2>
inline bool chmin(T1& a,T2 b){return a>b && (a=b,true);}

template<typename Num>
constexpr Num mypow(Num a, long long b) {
  if(b==0)return 1;
  if (a==0)return 0;
  Num x = 1;
  while (b > 0) {
    if(b & 1)x*=a;
    a*=a;
    b >>= 1;
  }
  return x;
}

/* template end */

using ll = long long;

#line 2 "/mnt/c/Users/Imperi/Documents/cp-library/lib/DisjointSparseTable.hpp"

#line 5 "/mnt/c/Users/Imperi/Documents/cp-library/lib/DisjointSparseTable.hpp"

template<typename Semigroup>
class DisjointSparseTable{
  public:
  using value_t=typename Semigroup::value_t;
  using size_t=std::size_t;
  private:

  size_t n,n0;
  std::vector<size_t> ln;
  std::vector<std::vector<value_t>> table;

  public:
  DisjointSparseTable(const std::vector<value_t>& a):n(a.size()){
    n0=1;
    while(n0<n)n0<<=1;
    ln=std::vector<size_t>(n0+1,0);
    for(size_t i=1;i<n0+1;i++)ln[i]=ln[i-1]+(i>=(1ull<<(ln[i-1]+1)));
    table=std::vector<std::vector<value_t>>(ln[n0]+1,a);
    for(size_t i=1;i<ln[n0]+1;i++){
      for(long long j=1ll<<(i-1);j<n;j+=1ll<<i){
        for(long long k=j-2;k>=j-(1ll<<(i-1));k--)
          table[i][k]=Semigroup::op(a[k],table[i][k+1]);
        for(long long k=j+1;k<std::min(j+(1ll<<(i-1)),(long long)n);k++)
          table[i][k]=Semigroup::op(table[i][k-1],a[k]);
      }
    }
  }

  value_t fold(size_t l,size_t r){
    assert(0<=l&&l<r&&r<=n);
    if(r==l+1)return table[0][l];
    size_t m=ln[l^(r-1)];
    return Semigroup::op(table[m+1][l],table[m+1][r-1]);
  }
};
#line 2 "/mnt/c/Users/Imperi/Documents/cp-library/lib/local/modint.hpp"

#line 4 "/mnt/c/Users/Imperi/Documents/cp-library/lib/local/modint.hpp"

template <std::uint_fast64_t Modulus> class modint {
  using u64 = std::uint_fast64_t;

public:
  u64 a;

  constexpr modint(const u64 x = 0) noexcept : a(x % Modulus) {}
  constexpr u64 &value() noexcept { return a; }
  constexpr const u64 &value() const noexcept { return a; }
  constexpr bool operator==(const modint rhs) const noexcept {return a==rhs.a;}
  constexpr bool operator!=(const modint rhs) const noexcept {return !(*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) 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 {
    u64 exp = Modulus - 2;
    while (exp) {
      if (exp % 2) {
        *this *= rhs;
      }
      rhs *= rhs;
      exp /= 2;
    }
    return *this;
  }
};
#line 86 "main.cpp"

constexpr ll MOD=1e9+7;
constexpr ll MAX=1e9;

using mint=modint<MOD>;

struct Mul{
  using value_t=std::pair<ll,bool>;
  static constexpr value_t op(value_t a,value_t b){
    if(a.second||b.second)return {0,true};
    if(a.first*b.first>=MAX)return {0,true};
    return {a.first*b.first,false};
  }
};

struct Kaidan{
  using value_t=std::tuple<mint,mint,ll>;
  static constexpr value_t op(value_t a,value_t b){
    value_t ret;
    auto& [val,mul,size]=ret;
    mul=std::get<1>(a)*std::get<1>(b);
    size=std::get<2>(a)+std::get<2>(b);
    val=std::get<0>(a)*std::get<0>(b)*mypow(std::get<1>(a),std::get<2>(b));
    return ret;
  }
};

int main() {
  std::cin.tie(nullptr);
  std::ios::sync_with_stdio(false);

  ll n;
  std::cin>>n;

  std::vector<ll> a(n);
  for(auto&& e:a)std::cin>>e;

  if(std::any_of(all(a),[](ll m){return m==0;})){
    std::cout<<0<<"\n";
    return 0;
  }

  std::vector<std::pair<ll,bool>> tmp(n);
  rep(i,0,n){
    tmp[i].first=a[i];
    tmp[i].second=false;
  }

  std::vector<std::tuple<mint,mint,ll>> kai(n);
  rep(i,0,n){
    auto& [val,mul,size]=kai[i];
    val=mint(a[i]);
    mul=mint(a[i]);
    size=1;
  }

  mint ans=1;

  DisjointSparseTable<Mul> mul(tmp);
  DisjointSparseTable<Kaidan> kaidan(kai);

  rep(i,0,n){
    ll l=i+1,r=n+1;
    while(r-l>1){
      ll mid=(l+r)/2;
      if(mul.fold(i,mid).second)r=mid;
      else l=mid;
    }
    ans*=std::get<0>(kaidan.fold(i,l));
  }

  std::cout<<ans.value()<<"\n";

  return 0;
}
0