#include <bits/stdc++.h>
using namespace std;
// macros
typedef long long ll;
typedef long double ld;
typedef pair<int, int> ii;
typedef pair<ll, ll> lll;
typedef tuple<int, int, int> iii;
typedef vector<int> vi;
typedef vector<ii> vii;
typedef vector<iii> viii;
typedef vector<ll> vll;
typedef vector<lll> vlll;
#define REP(a,b,c) for(int a=int(b); a<int(c); a++)
#define RE(a,c) REP(a,0,c)
#define RE1(a,c) REP(a,1,c+1)
#define REI(a,b,c) REP(a,b,c+1)
#define REV(a,b,c) for(int a=int(c-1); a>=int(b); a--)
#define FOR(a,b) for(auto& a : b)
#define all(a) a.begin(), a.end()
#define INF 1e9
#define EPS 1e-9
#define pb push_back
#define popb pop_back
#define fi first
#define se second
#define sz size()
// input
template<class T> void IN(T& x) {cin >> x;}
template<class H, class... T> void IN(H& h, T&... t) {IN(h); IN(t...); }
// output
template<class T1, class T2> void OUT(const pair<T1,T2>& x);
template<class T> void OUT(const T& x) {cout << x;}
template<class H, class... T> void OUT(const H& h, const T&... t) {OUT(h); OUT(t...); }
template<class T1, class T2> void OUT(const pair<T1,T2>& x) {OUT(x.fi," ",x.se);}
template<class... T> void OUTL(const T&... t) {OUT(t..., "\n"); }
//===================//
// Added libraries //
//===================//
// mod library
ll MOD=1e9+7;
inline ll mod(ll x_) {
return (x_)%MOD;
}
ll modpow(ll x_, ll N_) {
if(N_ == 0) return 1;
ll a = modpow(x_,N_/2);
a = (a*a)%MOD;
if(N_%2) a = (a*x_)%MOD;
return a;
}
ll inv(ll x_) {
return modpow(x_, MOD-2);
}
class mi {
public:
mi(ll v=0) {value = v;}
mi operator+ (ll rs) {return mod(value+rs);}
mi operator- (ll rs) {return mod(value-rs+MOD);}
mi operator* (ll rs) {return mod(value*rs);}
mi operator/ (ll rs) {return mod(value*inv(rs));}
mi& operator+=(ll rs) {*this = (*this)+rs; return *this;}
mi& operator-=(ll rs) {*this = (*this)-rs; return *this;}
mi& operator*=(ll rs) {*this = (*this)*rs; return *this;}
mi& operator/=(ll rs) {*this = (*this)/rs; return *this;}
operator ll&() {return value;}
ll value;
};
typedef vector<mi> vmi;
//===================//
//end added libraries//
//===================//
void program();
int main() {
ios_base::sync_with_stdio(false);
cin.tie(NULL);
cout.tie(NULL);
program();
}
//===================//
// begin program //
//===================//
const int MX = 1e6;
int n, a[MX];
map<int, int> mp;
set<int> inq, inpq;
queue<int> q;
int p[MX], m;
mi dp[MX][2];
bool findingPositions = 1;
set<int> positions;
int P[MX], N;
map<int, int> segUpdate;
struct M {
mi m[2][2];
mi* operator [] (int i) {return m[i];}
M operator* (M& rhs) {
M ans;
RE(i,2) RE(j,2) RE(k,2) ans[i][j] += m[i][k]*rhs[k][j];
return ans;
}
};
struct S {
int bg, ed;
M m;
S(int p = -1) {
bg = p, ed = p;
m[0][0] = 1;
m[1][1] = 1;
m[0][1] = 0;
m[1][0] = 0;
}
S(S& l, S& r) {
if(l.bg == -1) {
*this = r;
return;
}
if(r.bg == -1) {
*this = l;
return;
}
int dist = r.bg-l.ed;
M mid;
bg = l.bg;
ed = r.ed;
if((dist%2) == 0) {
mid.m[0][0] = 1;
mid.m[0][1] = 1;
}
mid.m[1][0] = mi((dist-1)/2);
mid.m[1][1] = mi((dist-1)/2 + 1);
m = (l.m * mid) * r.m;
}
};
S SEG[MX*4];
int Low(int x) {
return lower_bound(P,P+N,x)-P;
}
void setSeg(int i, int v, int p=0, int l=0, int r=N-1) {
if(i < l || i > r) return;
if(l == r) {
SEG[p] = S(v);
return;
}
int m=(l+r)/2;
setSeg(i,v,p*2+1,l,m);
setSeg(i,v,p*2+2,m+1,r);
SEG[p] = S(SEG[p*2+1], SEG[p*2+2]);
}
void remove(int x) {
mp.erase(x);
if(!findingPositions) segUpdate[Low(x)] = -1;
}
void update(int x) {
auto& am = mp[x];
if(am == 0) remove(x);
if(am >= 2) {
if(inq.count(x)) return;
q.push(x);
inq.insert(x);
} else if(am == 1) {
if(findingPositions) positions.insert(x);
else segUpdate[Low(x)] = x;
if(mp.count(x-1))
inpq.insert(x);
}
}
void fix(int x) {
auto& am = mp[x];
if(am >= 2) {
int times = am/2;
if(am%2) am = 1;
else am = 0;
if(x >= 3) {
mp[x-2] += times;
mp[x+1] += times;
update(x-2);
update(x+1);
}
if(x == 2) {
mp[1] += times;
mp[3] += times;
update(1);
update(3);
}
if(x == 1) {
mp[2] += times;
update(2);
}
update(x);
}
}
void fix1(int x) {
auto am1 = mp.find(x-1);
auto am2 = mp.find(x);
if(am1 != mp.end() && am2 != mp.end()) {
am1->se--;
am2->se--;
mp[x+1]++;
update(x-1);
update(x);
update(x+1);
}
}
void program() {
IN(n);
RE(i,n) IN(a[i]);
RE(i,n) {
mp[a[i]]++;
update(a[i]);
while(!q.empty()) {
int p = q.front(); q.pop();
fix(p);
inq.erase(p);
}
while(!inpq.empty()) {
int p = *(--inpq.end());
fix1(p);
inpq.erase(p);
}
}
N = 0;
FOR(i,positions) P[N++] = i;
findingPositions = 0;
mp.clear();
RE(i,n) {
mp[a[i]]++;
update(a[i]);
while(!q.empty()) {
int p = q.front(); q.pop();
fix(p);
inq.erase(p);
}
while(!inpq.empty()) {
int p = *(--inpq.end());
fix1(p);
inpq.erase(p);
}
FOR(it,segUpdate)
setSeg(it.fi, it.se);
segUpdate.clear();
S ans(0);
ans = S(ans,SEG[0]);
OUTL(ll(ans.m[1][1]));
}
}
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Incorrect |
85 ms |
172664 KB |
Output isn't correct |
| 2 |
Halted |
0 ms |
0 KB |
- |
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Incorrect |
85 ms |
172664 KB |
Output isn't correct |
| 2 |
Halted |
0 ms |
0 KB |
- |
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
86 ms |
172536 KB |
Output is correct |
| 2 |
Correct |
87 ms |
172536 KB |
Output is correct |
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Incorrect |
85 ms |
172664 KB |
Output isn't correct |
| 2 |
Halted |
0 ms |
0 KB |
- |
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
86 ms |
172536 KB |
Output is correct |
| 2 |
Correct |
674 ms |
183852 KB |
Output is correct |
| 3 |
Correct |
623 ms |
183800 KB |
Output is correct |
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Incorrect |
85 ms |
172664 KB |
Output isn't correct |
| 2 |
Halted |
0 ms |
0 KB |
- |
