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>
using namespace std;
typedef long long ll;
ll MOD = 1e9 + 7;
int n, arr[101010];
ll dp[101010][2];
void solve(vector<int> vec) {
    sort(vec.begin(), vec.end());
    int k = vec.size();
    for (int i = 0; i < k; i++) dp[i][0] = dp[i][1] = 0;
    dp[0][0] = 1;
    dp[0][1] = (vec[0] - 1) / 2;
    for (int i = 1; i < k; i++) {
        ll d = vec[i] - vec[i - 1];
        ll v = i == 1 ? 1 : (dp[i-2][0] + dp[i-2][1]) % MOD;
        if (d % 2 == 0) dp[i][0] = (dp[i-1][0] + dp[i-1][1] - v + MOD) % MOD;
        dp[i][1] = (dp[i-1][0] + dp[i-1][1]) % MOD * ((d+1)/2) % MOD;
    }
    cout << (dp[k-1][0] + dp[k-1][1]) % MOD << "\n";
}
int main() {
    ios_base::sync_with_stdio(false);
    cin.tie(0);
    cin >> n;
    for (int i = 1; i <= n; i++) cin >> arr[i];
    vector<int> vec;
    for (int i = 1; i <= n; i++) {
        vec.push_back(arr[i]);
        solve(vec);
    }
    return 0;
}
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