#include <iostream>
#include <tuple>
#include <cmath>
#include <string>
#include <cstring>
#include <vector>
#include <deque>
#include <queue>
#include <stack>
#include <random>
#include <map>
#include <unordered_map>
#include <set>
#include <unordered_set>
#include <algorithm>
#include <vector>
#include <fstream>
#include <iomanip>
#include <ctime>
#include <cctype>
#include <climits>
#include <chrono>
using namespace std;
typedef long long ll;
typedef vector<int> vi;
typedef vector< vector <int> > vvi;
typedef pair<int, int> pii;
typedef pair < pair < int, int >, int > piii;
typedef pair < pair <int, int > , pair <int, int> > piiii;
typedef pair<ll, ll> pll;
typedef vector<bool> vb;
typedef vector<char> vc;
typedef vector<string> vs;
#define FOR(i,a,b) for(int i = a; i < b; i ++)
#define RFOR(i,a,b) for(int i = a-1; i >= b; i --)
#define all(a) a.begin(), a.end()
#define endl '\n';
#define sz(x) (int)(x).size()
#define mp make_pair
#define pb push_back
#define ff first
#define ss second
template <typename T>
void pr(vector<T> &v) {
FOR(i, 0, sz(v)) cout << v[i] << " ";
cout << endl;
}
template <typename T>
void pr(vector<vector<T> > &v) {
FOR(i, 0, sz(v)) { pr(v[i]); }
}
template <typename T>
void re(T &x) {
cin >> x;
}
template <typename T>
void re(vector<T> &a) {
FOR(i, 0, sz(a)) re(a[i]);
}
template <class Arg, class... Args>
void re(Arg &first, Args &... rest) {
re(first);
re(rest...);
}
template <typename T>
void pr(T x) {
cout << x << endl;
}
template <class Arg, class... Args>
void pr(const Arg &first, const Args &... rest) {
cout << first << " ";
pr(rest...);
cout << endl;
}
void ps() { cout << endl; }
template<class T, class... Ts>
void ps(const T& t, const Ts&... ts) {
cout << t; if (sizeof...(ts)) cout << " "; ps(ts...);
}
const ll MOD = 1000000007;
#define inf 1e18;
#define INF INT_MAX
long double PI = 4*atan(1);
long double eps = 1e-12;
template<class T>
class SegmentTree {
private:
int n;
vector<T> A, st;
int l(int p) { return 2*p; }
int r(int p) { return 2*p+1; }
T conquer(T a, T b) {
if(a.ff == b.ff) {
return {a.ff, (a.ss + b.ss) %MOD};
}
if(a.ff > b.ff) return a;
return b;
}
T query(int p, int L, int R, int ql, int qr) { // O(log n)
if(qr < L || R < ql) return {-1, 0}; // infeasible
if ((ql <= L) && (R <= qr)) return st[p]; // found the segment
int m = (L+R)/2;
return conquer(query(l(p), L , m, ql, qr),
query(r(p), m+1, R, ql, qr));
}
void update(int p, int L, int R, int i, T val) {
if (L == R) {
st[p] = conquer(st[p], val);
return;
}
int m = (L + R)/2;
if (i <= m)
update(l(p), L, m, i, val);
else
update(r(p), m+1, R, i, val);
st[p] = conquer(st[l(p)], st[r(p)]);
}
public:
SegmentTree(int sz) : n(sz), st(4*n) {}
void update(int i, T val) {
update(1,0,n-1,i,val);
}
T query(int i, int j) {
return query(1,0,n-1,i,j);
}
};
int main() {
//auto start = chrono::high_resolution_clock::now();
ios_base::sync_with_stdio(0);cin.tie(0);
//ofstream cout("output.txt");
//ifstream cin("input.txt");
#ifdef DEBUG
freopen("input.txt", "r", stdin);
freopen("output.txt", "w", stdout);
#endif
int n; cin >> n;
vector<ll> a(n); re(a);
vector<ll> ac = a;
sort(all(ac));
ac.erase(unique(all(ac)), ac.end());
// pr(ac);
SegmentTree<pair<ll, ll>> stlo(n+10);
SegmentTree<pair<ll, ll>> sthi(n+10);
ll ans = 1;
ll best = 0;
RFOR(i,n,0) {
int idx = lower_bound(all(ac), a[i]) - ac.begin() + 1;
pair<ll, ll> v1 = stlo.query(0, idx-1);
// cout << v1.ff << " " << v1.ss << endl;
if(v1.ff == 0) v1.ss = 1;
v1.ff++;
stlo.update(idx, v1);
pair<ll, ll> v2 = sthi.query(idx + 1, n+5);
// cout << v2.ff << " " << v2.ss << endl;
if(v2.ff == 0) v2.ss = 1;
v2.ff++;
sthi.update(idx, v2);
// cout << idx << " " << v1.ff << " " << v2.ff << " " << v1.ss << " " << v2.ss << endl;
if(v1.ff + v2.ff - 1 > best) {
best = v1.ff + v2.ff - 1;
ans = v1.ss * v2.ss;
ans %= MOD;
} else if(v1.ff + v2.ff - 1 == best){
ans += v1.ss * v2.ss;
ans %= MOD;
}
}
ll p2 = 1;
FOR(i,0,n-best) {
p2 *= 2; p2 %= MOD;
}
cout << best << " " << (ans * p2)%MOD << endl;
//auto stop = chrono::high_resolution_clock::now();
//auto duration = chrono::duration_cast<chrono::microseconds>(stop - start);
//cout << duration.count() << endl;
//cin.close();
//cout.close();
}
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
0 ms |
212 KB |
Output is correct |
| 2 |
Correct |
0 ms |
212 KB |
Output is correct |
| 3 |
Correct |
1 ms |
212 KB |
Output is correct |
| 4 |
Correct |
1 ms |
212 KB |
Output is correct |
| 5 |
Correct |
0 ms |
212 KB |
Output is correct |
| 6 |
Correct |
0 ms |
212 KB |
Output is correct |
| 7 |
Correct |
1 ms |
340 KB |
Output is correct |
| 8 |
Correct |
1 ms |
340 KB |
Output is correct |
| 9 |
Correct |
1 ms |
340 KB |
Output is correct |
| 10 |
Correct |
1 ms |
340 KB |
Output is correct |
| 11 |
Correct |
166 ms |
22588 KB |
Output is correct |
| 12 |
Correct |
153 ms |
19636 KB |
Output is correct |
| 13 |
Correct |
128 ms |
18532 KB |
Output is correct |
| 14 |
Correct |
178 ms |
19744 KB |
Output is correct |
| 15 |
Correct |
252 ms |
24456 KB |
Output is correct |
| 16 |
Correct |
292 ms |
28276 KB |
Output is correct |
| 17 |
Correct |
218 ms |
28548 KB |
Output is correct |
| 18 |
Correct |
200 ms |
28620 KB |
Output is correct |
| 19 |
Correct |
200 ms |
28492 KB |
Output is correct |
| 20 |
Correct |
224 ms |
28504 KB |
Output is correct |
