結果

問題 No.1084 積の積
コンテスト
ユーザー suta28407928
提出日時 2020-06-19 23:01:20
言語 C++14
(gcc 15.2.0 + boost 1.89.0)
コンパイル:
g++-15 -O2 -lm -std=c++14 -Wuninitialized -DONLINE_JUDGE -o a.out _filename_
実行:
./a.out
結果
CE  
(最新)
AC  
(最初)
実行時間 -
コード長 3,540 bytes
記録
記録タグの例:
初AC ショートコード 純ショートコード 純主流ショートコード 最速実行時間
コンパイル時間 716 ms
コンパイル使用メモリ 102,060 KB
最終ジャッジ日時 2026-02-23 07:44:32
合計ジャッジ時間 1,841 ms
ジャッジサーバーID
（参考情報） 		judge3 / judge4
このコードへのチャレンジ
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コンパイルエラー時のメッセージ・ソースコードは、提出者また管理者しか表示できないようにしております。（リジャッジ後のコンパイルエラーは公開されます）
ただし、clay言語の場合は開発者のデバッグのため、公開されます。

コンパイルメッセージ
main.cpp:63:16: error: 'std::uint_fast64_t' has not been declared
   63 | template <std::uint_fast64_t Modulus> class modint {
      |                ^~~~~~~~~~~~~
main.cpp:17:1: note: 'std::uint_fast64_t' is defined in header '<cstdint>'; this is probably fixable by adding '#include <cstdint>'
   16 | #include <fstream>
  +++ |+#include <cstdint>
   17 | using namespace std;
main.cpp:64:20: error: 'uint_fast64_t' in namespace 'std' does not name a type [-Wtemplate-body]
   64 |   using u64 = std::uint_fast64_t;
      |                    ^~~~~~~~~~~~~
main.cpp:64:15: note: 'std::uint_fast64_t' is defined in header '<cstdint>'; this is probably fixable by adding '#include <cstdint>'
   64 |   using u64 = std::uint_fast64_t;
      |               ^~~
main.cpp:67:3: error: 'u64' does not name a type [-Wtemplate-body]
   67 |   u64 a;
      |   ^~~
main.cpp:69:26: error: 'u64' does not name a type [-Wtemplate-body]
   69 |   constexpr modint(const u64 x = 0) noexcept : a(x % Modulus) {}
      |                          ^~~
main.cpp:70:13: error: 'u64' does not name a type [-Wtemplate-body]
   70 |   constexpr u64 &value() noexcept { return a; }
      |             ^~~
main.cpp:71:19: error: 'u64' does not name a type [-Wtemplate-body]
   71 |   constexpr const u64 &value() const noexcept { return a; }
      |                   ^~~
main.cpp: In function 'int main()':
main.cpp:149:9: error: 'mint' was not declared in this scope; did you mean 'uint'?
  149 |         mint ans = 1;
      |         ^~~~
      |         uint
main.cpp:154:17: error: 'ans' was not declared in this scope; did you mean 'abs'?
  154 |                 ans *= modpow(a[i],cnt[i+1],mod);
      |                 ^~~
      |                 abs
main.cpp:156:17: error: 'ans' was not declared in this scope; did you mean 'abs'?
  156 |         cout << ans.value() << "\n";
      |                 ^~~
      |                 abs

ソースコード

diff #
raw source code 

#include <iostream>
#include <string>
#include <cstdlib>
#include <cmath>
#include <vector>
#include <unordered_map>
#include <map>
#include <set>
#include <algorithm>
#include <queue>
#include <stack>
#include <functional>
#include <bitset>
#include <assert.h>
#include <unordered_map>
#include <fstream>
using namespace std;
typedef long long ll;
typedef vector<ll> vl;
typedef vector<vl> vvl;
typedef vector<char> vc;
typedef vector<string> vs;
typedef vector<bool> vb;
typedef vector<double> vd;
typedef pair<ll,ll> P;
typedef pair<int,int> pii;
typedef vector<P> vpl;
typedef tuple<ll,ll,ll> tapu;
#define rep(i,n) for(int i=0; i<(n); i++)
#define REP(i,a,b) for(int i=(a); i<(b); i++)
#define all(x) (x).begin(), (x).end()
#define rall(x) (x).rbegin(), (x).rend()
const int inf = 1<<30;
const ll linf = 1LL<<62;
const int MAX = 510000;
ll dy[8] = {1,-1,0,0,1,-1,1,-1};
ll dx[8] = {0,0,1,-1,1,-1,-1,1};
const double pi = acos(-1);
const double eps = 1e-7;
template<typename T1,typename T2> inline bool chmin(T1 &a,T2 b){
	if(a>b){
		a = b; return true;
	}
	else return false;
}
template<typename T1,typename T2> inline bool chmax(T1 &a,T2 b){
	if(a<b){
		a = b; return true;
	}
	else return false;
}
template<typename T> inline void print(T &a){
    rep(i,a.size()) cout << a[i] << " ";
    cout << "\n";
}
template<typename T1,typename T2> inline void print2(T1 a, T2 b){cout << a << " " << b << "\n";}
template<typename T1,typename T2,typename T3> inline void print3(T1 a, T2 b, T3 c){
	cout << a << " " << b << " " << c << "\n";
}
const int mod = 1e9 + 7;
//const int mod = 998244353;

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 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;
  }
};

using mint = modint<mod>;

ll modpow(ll x, ll n, ll mod){
	ll res = 1;
	while(n > 0){
		if(n & 1) res = res * x % mod;
		x = x * x % mod;
		n >>= 1;
	}
	return res;
}

int main(){
	int n; cin >> n;
	vl a(n); rep(i,n) cin >> a[i];
	vl cnt(n+1,0);
	vl c(n+1,0);
	int right = 0;
	ll now = 1;
	rep(i,n){
		if(a[i] == 0){
			cout << 0 << endl;
			return 0;
		}
	}
	rep(i,n){
		while(right < n && now * a[right] < 1e9){
			now *= a[right];
			right++;
		}
		c[i]--; c[right]++;
		cnt[i] -= right - i;
		now /= a[i];
	}
	mint ans = 1;
	for(ll i=n-1; i>=0; i--) c[i] += c[i+1];
	cnt[n] = c[n];
	for(ll i=n-1; i>=0; i--) cnt[i] += cnt[i+1] + c[i];
	rep(i,n){
		ans *= modpow(a[i],cnt[i+1],mod);
	}
	cout << ans.value() << "\n";
}
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