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<bits/stdc++.h>
#define eb emplace_back
#define iter(a) a.begin(), a.end()
#define lsort(a) sort(iter(a))
#define uni(a) a.resize(unique(iter(a)) - a.begin())
#define printv(a, b) {\
for(auto pv : a) b << pv << " ";\
b << "\n";\
}
using namespace std;
typedef long long ll;
ll MOD = 1000000007;
ll inv(ll a){
ll b = MOD - 2;
ll ans = 1;
while(b > 0){
if(b & 1) ans = ans * a % MOD;
a = a * a % MOD;
b >>= 1;
}
return ans;
}
int calc(int a, int b){
return (b - a) / 2;
}
int main(){
ios_base::sync_with_stdio(false);
cin.tie(0);
int n;
cin >> n;
set<int> a;
a.insert(0);
ll ans = 1;
for(int i = 0; i < n; i++){
int x;
cin >> x;
assert(x % 2 == 0 && a.find(x) == a.end());
auto it = a.lower_bound(x);
assert(it != a.begin());
if(it != a.end()){
ans = ans * inv(calc(*prev(it), *it)) % MOD;
ans = ans * calc(x, *it) % MOD;
}
ans = ans * calc(*prev(it), x) % MOD;
a.insert(x);
cout << ans << "\n";
}
return 0;
}
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