#include <bits/stdc++.h>
#pragma GCC optimize("O3,unroll-loops")
#pragma GCC target("avx2")
#define int long long
#define pii pair<int,int>
#define vi vector<int>
#define ff first
#define ss second
#define sp << " " <<
#define all(x) x.begin(),x.end()
#define big(x) ((int)(x.size()))
using namespace std;
const int MOD = 1e9+7, LIM = 1e6+1, inf = 2e9;
const int N = 1e5+1;
int add(int x,int y) {
if ((x + y) >= MOD) return x + y - MOD;
return x + y;
}
int mult(int x,int y) {
return (1LL * x * y) % MOD;
}
set<int> posy{0};
void ins(int p) {
if (!posy.count(p)) {
posy.insert(p);
if (p && posy.count(p) && posy.count(p+1)) {
posy.erase(p),posy.erase(p+1);
ins(p+2);
}
if (p>1 && posy.count(p) && posy.count(p-1)) {
posy.erase(p),posy.erase(p-1);
ins(p+1);
}
return;
}
if (p == 1) {
posy.erase(p);
ins(2);
return;
}
if (p == 2) {
posy.erase(p);
ins(1),ins(3);
return;
}
posy.erase(p);
ins(p+1),ins(p-2);
};
void solve() {
int n;
cin >> n;
vi a(n+1);
for (int i=1;i<=n;i++) cin >> a[i];
int dp[n+2][2]{};
for (int ii=1;ii<=n;ii++) {
ins(a[ii]);
vi pos = vi(all(posy));
for (int i=0;i<=ii+1;i++) for (int j = 0;j<2;j++) dp[i][j] = 0;
dp[1][0] = 1;
for (int i = 1;i<=big(pos);i++) {
for (int j = 0;j<2;j++) {
if (!dp[i][j]) continue;
if (i == big(pos)) continue;
int ps = pos[i-1]-j;
int nxt = pos[i];
dp[i+1][0] = add(dp[i+1][0],dp[i][j]);
dp[i+1][1] = add(dp[i+1][1],mult((nxt-ps-1)/2,dp[i][j]));
}
}
cout << add(dp[big(pos)][0],dp[big(pos)][1]) << '\n';
}
}
signed main() {
ios_base::sync_with_stdio(0); cin.tie(0);
#ifdef Dodi
freopen("in.txt", "r", stdin);
freopen("out.txt", "w", stdout);
#endif
int t = 1;
//cin >> t;
while (t --> 0) solve();
}
