#include <bits/stdc++.h>

#define rep(i,n) for(int i=0;i<(int)(n);i++)
#define FOR(i,n,m) for(int i=(int)(n); i<=(int)(m); i++)
#define RFOR(i,n,m) for(int i=(int)(n); i>=(int)(m); i--)
#define ITR(x,c) for(__typeof(c.begin()) x=c.begin();x!=c.end();x++)
#define RITR(x,c) for(__typeof(c.rbegin()) x=c.rbegin();x!=c.rend();x++)
#define setp(n) fixed << setprecision(n)

template<class T> bool chmax(T &a, const T &b) { if (a<b) { a=b; return 1; } return 0; }
template<class T> bool chmin(T &a, const T &b) { if (a>b) { a=b; return 1; } return 0; }

#define ll long long
#define vll vector<ll>
#define vi vector<int>
#define pll pair<ll,ll>
#define pi pair<int,int>

#define all(a) (a.begin()),(a.end())
#define rall(a) (a.rbegin()),(a.rend())
#define fi first
#define se second
#define pb push_back
#define mp make_pair
#define ins insert

using namespace std;

//-------------------------------------------------
//--ModInt
//-------------------------------------------------
const ::std::uint_fast64_t MOD = 1e9+7;

class mint
{
private:
    using value_type = ::std::uint_fast64_t;
    value_type n;
public:
    mint():n(0){}
    mint(::std::int_fast64_t _n):n(_n<0 ? MOD-(-_n)%MOD : _n%MOD){}
    mint(const mint &m):n(m.n){}

    friend ::std::ostream& operator<<(::std::ostream &os, const mint &a){
		return os << a.n;
	}
    friend ::std::istream& operator>>(::std::istream &is, mint &a){
        value_type temp; is>>temp;
        a = mint(temp);
        return is;
    }

    mint& operator+=(const mint &m){n+=m.n; n=(n<MOD)?n:n-MOD; return *this;}
    mint& operator-=(const mint &m){n+=MOD-m.n; n=(n<MOD)?n:n-MOD; return *this;}
    mint& operator*=(const mint &m){n=n*m.n%MOD; return *this;}
    mint& operator/=(const mint &m){return *this*=m.inv();}
    mint& operator++(){return *this+=1;}
    mint& operator--(){return *this-=1;}

    mint operator+(const mint &m) const {return mint(*this)+=m;}
    mint operator-(const mint &m) const {return mint(*this)-=m;}
    mint operator*(const mint &m) const {return mint(*this)*=m;}
    mint operator/(const mint &m) const {return mint(*this)/=m;}
    mint operator++(int){mint t(*this); *this+=1; return t;}
    mint operator--(int){mint t(*this); *this-=1; return t;}

    bool operator==(const mint &m) const {return n==m.n;}
    bool operator!=(const mint &m) const {return n!=m.n;}
    mint operator-() const {return mint(MOD-n);}

    mint pow(value_type b) const {
        mint ret(1), m(*this);
        while(b){
            if (b & 1) ret*=m;
            m*=m;
            b>>=1;
        }
        return ret;
    }

    mint inv() const {return pow(MOD-2);}
};

//-------------------------------------------------
//--Combination (depends on ModInt)
//-------------------------------------------------
class Combination
{
private:
    ::std::vector<mint> _fact;
    ::std::vector<mint> _finv;
public:
    Combination(int n):_fact(n+1), _finv(n+1){
        _fact[0] = _fact[1] = 1;
        _finv[0] = _finv[1] = 1;
        for(int i=2; i<=n; i++){
            _fact[i] = _fact[i-1]*i;
            _finv[i] = _fact[i].inv();
        }
    }
    mint fact(int x){return _fact[x];}
    mint finv(int x){return _finv[x];}
    mint comb(int x, int y){
        if (y>x || y<0) return 0;
        return _fact[x]*_finv[y]*_finv[x-y];
    }
    mint homo(int x, int y){return comb(x+y-1, y);}
};

//-------------------------------------------------
//--Union Find tree
//-------------------------------------------------
class UnionFind
{
private:
    ::std::vector<int> par;
    ::std::vector<int> rank;
    ::std::vector<int> sz;
public:
    UnionFind(int n):par(n), rank(n), sz(n){
        for(int i=0; i<n; i++){
            par[i] = i;
            rank[i] = 0;
            sz[i] = 1;
        }
    }
    int root(int x){
        if (par[x]==x) return x;
        return par[x] = root(par[x]);
    }
    bool same(int x, int y){
        return root(x)==root(y);
    }
    void unite(int x, int y){
        int rx = root(x);
        int ry = root(y);
        if (rx==ry) return;
        if (rank[rx]>rank[ry]){
            par[ry] = rx;
            sz[rx]+=sz[ry];
        }else{
            par[rx] = ry;
            sz[ry]+=sz[rx];
            if (rx==ry) rank[ry]++;
        }
    }
    int size(int x){return sz[root(x)];}
};

//-------------------------------------------------

int main(void)
{
    cin.tie(0);
    ios::sync_with_stdio(false);
    int N; cin>>N;
    vi p(N);
    rep(i,N) cin>>p[i], p[i]--;
    UnionFind uf(N);
    rep(i,N)if(p[i]>=0) uf.unite(i,p[i]);

    set<int> S;
    rep(i,N) S.ins(uf.root(i));
    int M = S.size();

    vi q;
    rep(i,N)if(p[i]<0) q.pb(uf.size(i));
    int K = q.size();

    vector<vector<mint> > dp(K+1, vector<mint>(K+1));
    dp[0][0]=1;
    rep(i,K)rep(j,K+1){
        dp[i+1][j] += dp[i][j];
        if (j>=1) dp[i+1][j] += dp[i][j-1]*q[i];
    }
    dp[K][1]-=K;

    Combination bn(K);
    mint ans=mint(N-1).pow(K)*(N-M+K);
    FOR(i,1,K) ans-=dp[K][i]*bn.fact(i-1)*mint(N-1).pow(K-i);
    cout<<ans<<"\n";

    return 0;
}


Measured memory_bytes: 199260