#include <algorithm>
#include <functional>
#include <iostream>
#include <iomanip>
#include <vector>
#include <map>
#include <set>
#include <unordered_set>
#include <queue>
#include <numeric>
#include <bitset>
#include <cmath>
#include <random>

using namespace std;
using ll = long long;
using ull = unsigned long long;
//const ll mod = 998244353;
const ll mod = 1000000007;
const int inf = 1e9;
const ll linf = 1e18;
const int dx[] = {1, -1, 0, 0};
const int dy[] = {0, 0, 1, -1};


#define rep(i, n) for (ll i = 0; i < (n); ++i)
#define rep_from(i, j, n) for (ll i = (j); i < (n); ++i)
#define rep_rev(i, n) for (ll i = n-1; i >= 0; --i)
#define rep_from_rev(i, j, n) for (ll i = n-1; i >= j; --i)
#define all(x) (x).begin(),(x).end()
#define sz(x) ll(x.size())

template<typename T>
inline T chmax(T &a, const T b) { return a = (a < b) ? b : a; }

template<typename T>
inline T chmin(T &a, const T b) { return a = (a > b) ? b : a; }

ll power(ll base, ll exponent) {
    if (exponent % 2) {
        return power(base, exponent - 1) * base % mod;
    } else if (exponent) {
        ll root_ans = power(base, exponent / 2);
        return root_ans * root_ans % mod;
    } else { return 1; }
}

ll inverse(ll x) { return power(x, mod - 2); }

ll gcd(ll a, ll b) {
    if (a < b) gcd(b, a);
    ll r;
    while (r = a % b) {
        a = b;
        b = r;
    }
    return b;
}

template<typename T>
ll sum(T begin, T end) { return accumulate(begin, end, 0ll); }

struct combination {
    vector<ll> fact, inv;

    combination(int sz) : fact(sz + 1), inv(sz + 1) {
        fact[0] = 1;
        for (int i = 1; i <= sz; i++) { fact[i] = fact[i - 1] * i % mod; }
        inv[sz] = power(fact[sz], mod - 2);
        for (int i = sz - 1; i >= 0; i--) { inv[i] = inv[i + 1] * (i + 1) % mod; }
    }

    ll C(int p, int q) const {
        if (q < 0 || p < q) return 0;
        return (fact[p] * inv[q] % mod * inv[p - q] % mod);
    }
};

using Pair = pair<int, int>;
using LPair = pair<ll, ll>;

template<ll Modulus>
struct ModInt {
    ll a;

    constexpr ModInt(const ll x = 0) noexcept: a((x % mod + mod) % mod) {}

    constexpr ll &value() noexcept { return a; }

    constexpr const ll &value() const noexcept { return a; }

    constexpr ModInt operator+(const ModInt x) const noexcept {
        return ModInt(*this) += x;
    }

    constexpr ModInt operator-(const ModInt x) const noexcept {
        return ModInt(*this) -= x;
    }

    constexpr ModInt operator*(const ModInt x) const noexcept {
        return ModInt(*this) *= x;
    }

    constexpr ModInt operator/(const ModInt x) const noexcept {
        return ModInt(*this) /= x;
    }

    constexpr ModInt &operator+=(const ModInt x) noexcept {
        a += x.a;
        if (a >= Modulus) {
            a -= Modulus;
        }
        return *this;
    }

    constexpr ModInt &operator-=(const ModInt x) noexcept {
        if (a < x.a) {
            a += Modulus;
        }
        a -= x.a;
        return *this;
    }

    constexpr ModInt &operator*=(const ModInt x) noexcept {
        a = a * x.a % Modulus;
        return *this;
    }

    constexpr ModInt &operator/=(ModInt x) noexcept {
        ll exp = Modulus - 2;
        while (exp) {
            if (exp % 2) {
                *this *= x;
            }
            x *= x;
            exp /= 2;
        }
        return *this;
    }

    constexpr ModInt operator-() noexcept {
        return ModInt(-a);
    }

    friend ostream &operator<<(ostream &os, const ModInt &m) {
        os << m.a;
        return os;
    }
};

using mint = ModInt<mod>;


int main() {
    ios::sync_with_stdio(false);
    cout << fixed << setprecision(15);
    int n;
    cin >> n;
    vector<ll> x(n);
    rep(i, n) cin >> x[i];
    mint ans = 1;
    int cnt = 0;
    rep(i, n) {
        if(x[i] < cnt * 2 + 1) {
            ans *= cnt + 1;
            --cnt;
        }
        cnt++;
    }
    while(cnt > 0) ans *= cnt--;
    cout << ans << endl;
}


Measured memory_bytes: 3960