結果

問題 No.1084 積の積
ユーザー masayoshi361
提出日時 2020-06-19 23:18:41
言語 C++14
(gcc 13.3.0 + boost 1.87.0)
結果
AC  
実行時間 218 ms / 2,000 ms
コード長 8,235 bytes
コンパイル時間 2,068 ms
コンパイル使用メモリ 183,940 KB
実行使用メモリ 6,944 KB
最終ジャッジ日時 2024-07-03 15:39:52
合計ジャッジ時間 5,806 ms
ジャッジサーバーID
(参考情報)
judge5 / judge1
このコードへのチャレンジ
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ファイルパターン 結果
sample AC * 5
other AC * 27
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 #
プレゼンテーションモードにする

//header
#ifdef LOCAL
#include "cxx-prettyprint-master/prettyprint.hpp"
#define debug(x) cout << x << endl
#else
#define debug(...) 42
#endif
#pragma GCC optimize("Ofast")
#include <bits/stdc++.h>
//types
using namespace std;
using ll = long long;
using ul = unsigned long long;
using ld = long double;
typedef pair < ll , ll > Pl;
typedef pair < int, int > Pi;
typedef vector<ll> vl;
typedef vector<int> vi;
template< typename T >
using mat = vector< vector< T > >;
template< int mod >
struct modint {
int x;
modint() : x(0) {}
modint(int64_t y) : x(y >= 0 ? y % mod : (mod - (-y) % mod) % mod) {}
modint &operator+=(const modint &p) {
if((x += p.x) >= mod) x -= mod;
return *this;
}
modint &operator-=(const modint &p) {
if((x += mod - p.x) >= mod) x -= mod;
return *this;
}
modint &operator*=(const modint &p) {
x = (int) (1LL * x * p.x % mod);
return *this;
}
modint &operator/=(const modint &p) {
*this *= p.inverse();
return *this;
}
modint operator-() const { return modint(-x); }
modint operator+(const modint &p) const { return modint(*this) += p; }
modint operator-(const modint &p) const { return modint(*this) -= p; }
modint operator*(const modint &p) const { return modint(*this) *= p; }
modint operator/(const modint &p) const { return modint(*this) /= p; }
bool operator==(const modint &p) const { return x == p.x; }
bool operator!=(const modint &p) const { return x != p.x; }
modint inverse() const {
int a = x, b = mod, u = 1, v = 0, t;
while(b > 0) {
t = a / b;
swap(a -= t * b, b);
swap(u -= t * v, v);
}
return modint(u);
}
modint pow(int64_t n) const {
modint ret(1), mul(x);
while(n > 0) {
if(n & 1) ret *= mul;
mul *= mul;
n >>= 1;
}
return ret;
}
friend ostream &operator<<(ostream &os, const modint &p) {
return os << p.x;
}
friend istream &operator>>(istream &is, modint &a) {
int64_t t;
is >> t;
a = modint< mod >(t);
return (is);
}
static int get_mod() { return mod; }
};
//abreviations
#define all(x) (x).begin(), (x).end()
#define rall(x) (x).rbegin(), (x).rend()
#define rep_(i, a_, b_, a, b, ...) for (int i = (a), max_i = (b); i < max_i; i++)
#define rep(i, ...) rep_(i, __VA_ARGS__, __VA_ARGS__, 0, __VA_ARGS__)
#define rrep_(i, a_, b_, a, b, ...) for (int i = (b-1), min_i = (a); i >= min_i; i--)
#define rrep(i, ...) rrep_(i, __VA_ARGS__, __VA_ARGS__, 0, __VA_ARGS__)
#define SZ(x) ((int)(x).size())
#define pb(x) push_back(x)
#define eb(x) emplace_back(x)
#define mp make_pair
#define print(x) cout << x << endl
#define vsum(x) accumulate(x, 0LL)
#define vmax(a) *max_element(all(a))
#define vmin(a) *min_element(all(a))
#define lb(c, x) distance((c).begin(), lower_bound(all(c), (x)))
#define ub(c, x) distance((c).begin(), upper_bound(all(c), (x)))
//functions
ll gcd(ll a, ll b) { return b ? gcd(b, a%b) : a; }
ll lcm(ll a, ll b) { return a/gcd(a, b)*b;}
template<class T>bool chmax(T &a, const T &b) { if (a<b) { a=b; return 1; } return 0; }
template<class T>bool chmin(T &a, const T &b) { if (b<a) { a=b; return 1; } return 0; }
template< typename T >
T mypow(T x, ll n) {
T ret = 1;
while(n > 0) {
if(n & 1) (ret *= x);
(x *= x);
n >>= 1;
}
return ret;
}
ll modpow(ll x, ll n, const ll mod) {
ll ret = 1;
while(n > 0) {
if(n & 1) (ret *= x);
(x *= x);
n >>= 1;
x%=mod;
ret%=mod;
}
return ret;
}
uint64_t my_rand(void) {
static uint64_t x = 88172645463325252ULL;
x = x ^ (x << 13); x = x ^ (x >> 7);
return x = x ^ (x << 17);
}
//graph template
template< typename T >
struct edge {
int src, to;
T cost;
edge(int to, T cost) : src(-1), to(to), cost(cost) {}
edge(int src, int to, T cost) : src(src), to(to), cost(cost) {}
edge &operator=(const int &x) {
to = x;
return *this;
}
operator int() const { return to; }
};
template< typename T >
using Edges = vector< edge< T > >;
template< typename T >
using WeightedGraph = vector< Edges< T > >;
using UnWeightedGraph = vector< vector< int > >;
//constant
//#define inf 1000000005LL
#define inf 4000000000000000005LL
#define mod 1000000007LL
#define endl '\n'
typedef modint<mod> mint;
const long double eps = 0.0001;
const long double PI = 3.141592653589793;
//library
template< typename Monoid >
struct SegmentTree {
using F = function< Monoid(Monoid, Monoid) >;
int sz;
vector< Monoid > seg;
const F f;
const Monoid M1;
SegmentTree(int n, const F f, const Monoid &M1) : f(f), M1(M1) {
sz = 1;
while(sz < n) sz <<= 1;
seg.assign(2 * sz, M1);
}
void set(int k, const Monoid &x) {
seg[k + sz] = x;
}
void build() {
for(int k = sz - 1; k > 0; k--) {
seg[k] = f(seg[2 * k + 0], seg[2 * k + 1]);
}
}
void update(int k, const Monoid &x) {
k += sz;
seg[k] = x;
while(k >>= 1) {
seg[k] = f(seg[2 * k + 0], seg[2 * k + 1]);
}
}
Monoid query(int a, int b) {
Monoid L = M1, R = M1;
for(a += sz, b += sz; a < b; a >>= 1, b >>= 1) {
if(a & 1) L = f(L, seg[a++]);
if(b & 1) R = f(seg[--b], R);
}
return f(L, R);
}
Monoid operator[](const int &k) const {
return seg[k + sz];
}
template< typename C >
int find_subtree(int a, const C &check, Monoid &M, bool type) {
while(a < sz) {
Monoid nxt = type ? f(seg[2 * a + type], M) : f(M, seg[2 * a + type]);
if(check(nxt)) a = 2 * a + type;
else M = nxt, a = 2 * a + 1 - type;
}
return a - sz;
}
template< typename C >
int find_first(int a, const C &check) {
Monoid L = M1;
if(a <= 0) {
if(check(f(L, seg[1]))) return find_subtree(1, check, L, false);
return -1;
}
int b = sz;
for(a += sz, b += sz; a < b; a >>= 1, b >>= 1) {
if(a & 1) {
Monoid nxt = f(L, seg[a]);
if(check(nxt)) return find_subtree(a, check, L, false);
L = nxt;
++a;
}
}
return -1;
}
template< typename C >
int find_last(int b, const C &check) {
Monoid R = M1;
if(b >= sz) {
if(check(f(seg[1], R))) return find_subtree(1, check, R, true);
return -1;
}
int a = sz;
for(b += sz; a < b; a >>= 1, b >>= 1) {
if(b & 1) {
Monoid nxt = f(seg[--b], R);
if(check(nxt)) return find_subtree(b, check, R, true);
R = nxt;
}
}
return -1;
}
};
int main(){
const ll m = 1000000000;
auto f = [&](ll a, ll b){
if(a==-1||b==-1)return -1LL;
if(a*b>=m)return -1LL;
return a*b;
};
int n; cin>>n;
vl a(n);
rep(i, n)cin>>a[i];
SegmentTree<ll> seg(n, f, 1);
rep(i, n)seg.set(i, a[i]);
seg.build();
mint ans = 1;
ll cnt = 0;
ll b = 0;
vl imos(n+1);
rep(l, n){
int ok = l+1, ng = n+1;
while(ng-ok>1){
ll mid = (ok+ng)/2;
if(seg.query(l, mid)==-1)ng = mid;
else ok = mid;
}
cnt+=ok-l;
imos[ok]++;
ans*=mypow<mint>(a[l], cnt);
b+=1-imos[l];
cnt-=b;
}
print(ans);
}
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