This submission is migrated from previous version of oj.uz, which used different machine for grading. This submission may have different result if resubmitted.
#include <iostream>
#include <cstdio>
#include <algorithm>
#include <vector>
#include <set>
#include <iterator>
using namespace std;
#define endl '\n'
#define ll long long
#define pi pair<int, int>
#define f first
#define s second
const int mod = 1000000007;
struct T{
int l, r, d;
struct M{
ll aa, ab, ba, bb;
M() : aa(1), ab(0), ba(0), bb(1) {}
M(int aa, int ab, int ba, int bb) :
aa(aa), ab(ab), ba(ba), bb(bb) {}
M(int x, int y){
aa = ab = max(0, (x - 1) / 2);
ba = bb = !(x & 1);
aa = y * aa + 1;
}
M operator*(M m){
return M((aa * m.aa + ab * m.ba) % mod,
(aa * m.ab + ab * m.bb) % mod,
(ba * m.aa + bb * m.ba) % mod,
(ba * m.ab + bb * m.bb) % mod);
}
} m;
T() : d(0){}
T(pi p) : l(p.f + 1), r(p.s - 1), d((p.s - p.f) / 2) {}
friend T operator + (T a, T b){
if(!a.d) return b;
if(!b.d) return a;
T ret = a;
ret.r = b.r;
ret.m = a.m * M(b.l - a.r, b.d) * b.m;
return ret;
}
};
const int maxn = 1 << 17;
int n;
T tre[maxn << 1];
//update 0101010 ranges
vector<int> id;
vector<pi> q[maxn];
set<pi> s;
void add(int t, pi p){
id.push_back(p.f);
q[t].push_back(p);
s.insert(p);
}
void del(int t, set<pi>::iterator it){
q[t].push_back(*it);
s.erase(it);
}
void add(int t, int x){
pi p = {x - 1, x + 1};
auto it = s.lower_bound({x, 2e9});
if(it == s.begin() || prev(it)->s < x){
if(it != s.begin() && prev(it)->s + 1 == x){
p.f = prev(it)->f;
del(t, prev(it));
}
if(it->f - 1 == x){
p.s = it->s;
del(t, it);
}
add(t, p);
}else{
it--;
if((x - it->f) & 1){
p = {it->f + 1, x};
x = it->s;
del(t, it);
if(p.f < p.s) add(t, p);
if(p.f >= 2) add(t, max(1, p.f - 2));
add(t, x);
}else{
p = {it->f, min(x, it->s - 2)};
x = max(x + 1, it->s);
del(t, it);
if(p.f < p.s) add(t, p);
add(t, x);
}
}
}
//end update 0101010 ranges
int main(){
ios::sync_with_stdio(0);
cin.tie(0);
cin >> n;
for(int i = 0; i < n; i++){
int x;
cin >> x;
add(i, x);
}
sort(id.begin(), id.end());
id.erase(unique(id.begin(), id.end()), id.end());
for(int i = 0; i < n; i++){
for(pi p : q[i]){
int x = lower_bound(id.begin(), id.end(), p.f) - id.begin() + maxn;
tre[x] = tre[x].d ? T() : T(p);
for(x >>= 1; x; x >>= 1){
tre[x] = tre[x << 1] + tre[x << 1 | 1];
}
}
cout << (T::M(tre[1].l, tre[1].d) * tre[1].m).aa << endl;
}
return 0;
}
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