/**
 *    author:  Sooh
 *    created: 19.11.2021 21:18:29
**/
#include<bits/stdc++.h>
using namespace std;
#if __has_include(<atcoder/all>)


#include <utility>

namespace atcoder {

namespace internal {

constexpr long long safe_mod(long long x, long long m) {
    x %= m;
    if (x < 0) x += m;
    return x;
}

struct barrett {
    unsigned int _m;
    unsigned long long im;

    barrett(unsigned int m) : _m(m), im((unsigned long long)(-1) / m + 1) {}

    unsigned int umod() const { return _m; }

    unsigned int mul(unsigned int a, unsigned int b) const {

        unsigned long long z = a;
        z *= b;
#ifdef _MSC_VER
        unsigned long long x;
        _umul128(z, im, &x);
#else
        unsigned long long x =
            (unsigned long long)(((unsigned __int128)(z)*im) >> 64);
#endif
        unsigned int v = (unsigned int)(z - x * _m);
        if (_m <= v) v += _m;
        return v;
    }
};

constexpr long long pow_mod_constexpr(long long x, long long n, int m) {
    if (m == 1) return 0;
    unsigned int _m = (unsigned int)(m);
    unsigned long long r = 1;
    unsigned long long y = safe_mod(x, m);
    while (n) {
        if (n & 1) r = (r * y) % _m;
        y = (y * y) % _m;
        n >>= 1;
    }
    return r;
}

constexpr bool is_prime_constexpr(int n) {
    if (n <= 1) return false;
    if (n == 2 || n == 7 || n == 61) return true;
    if (n % 2 == 0) return false;
    long long d = n - 1;
    while (d % 2 == 0) d /= 2;
    for (long long a : {2, 7, 61}) {
        long long t = d;
        long long y = pow_mod_constexpr(a, t, n);
        while (t != n - 1 && y != 1 && y != n - 1) {
            y = y * y % n;
            t <<= 1;
        }
        if (y != n - 1 && t % 2 == 0) {
            return false;
        }
    }
    return true;
}
template <int n> constexpr bool is_prime = is_prime_constexpr(n);

constexpr std::pair<long long, long long> inv_gcd(long long a, long long b) {
    a = safe_mod(a, b);
    if (a == 0) return {b, 0};

    long long s = b, t = a;
    long long m0 = 0, m1 = 1;

    while (t) {
        long long u = s / t;
        s -= t * u;
        m0 -= m1 * u;  // |m1 * u| <= |m1| * s <= b


        auto tmp = s;
        s = t;
        t = tmp;
        tmp = m0;
        m0 = m1;
        m1 = tmp;
    }
    if (m0 < 0) m0 += b / s;
    return {s, m0};
}

constexpr int primitive_root_constexpr(int m) {
    if (m == 2) return 1;
    if (m == 167772161) return 3;
    if (m == 469762049) return 3;
    if (m == 754974721) return 11;
    if (m == 998244353) return 3;
    int divs[20] = {};
    divs[0] = 2;
    int cnt = 1;
    int x = (m - 1) / 2;
    while (x % 2 == 0) x /= 2;
    for (int i = 3; (long long)(i)*i <= x; i += 2) {
        if (x % i == 0) {
            divs[cnt++] = i;
            while (x % i == 0) {
                x /= i;
            }
        }
    }
    if (x > 1) {
        divs[cnt++] = x;
    }
    for (int g = 2;; g++) {
        bool ok = true;
        for (int i = 0; i < cnt; i++) {
            if (pow_mod_constexpr(g, (m - 1) / divs[i], m) == 1) {
                ok = false;
                break;
            }
        }
        if (ok) return g;
    }
}
template <int m> constexpr int primitive_root = primitive_root_constexpr(m);

}  // namespace internal

}  // namespace atcoder


#include <cassert>
#include <numeric>
#include <type_traits>

namespace atcoder {

namespace internal {

#ifndef _MSC_VER
template <class T>
using is_signed_int128 =
    typename std::conditional<std::is_same<T, __int128_t>::value ||
                                  std::is_same<T, __int128>::value,
                              std::true_type,
                              std::false_type>::type;

template <class T>
using is_unsigned_int128 =
    typename std::conditional<std::is_same<T, __uint128_t>::value ||
                                  std::is_same<T, unsigned __int128>::value,
                              std::true_type,
                              std::false_type>::type;

template <class T>
using make_unsigned_int128 =
    typename std::conditional<std::is_same<T, __int128_t>::value,
                              __uint128_t,
                              unsigned __int128>;

template <class T>
using is_integral = typename std::conditional<std::is_integral<T>::value ||
                                                  is_signed_int128<T>::value ||
                                                  is_unsigned_int128<T>::value,
                                              std::true_type,
                                              std::false_type>::type;

template <class T>
using is_signed_int = typename std::conditional<(is_integral<T>::value &&
                                                 std::is_signed<T>::value) ||
                                                    is_signed_int128<T>::value,
                                                std::true_type,
                                                std::false_type>::type;

template <class T>
using is_unsigned_int =
    typename std::conditional<(is_integral<T>::value &&
                               std::is_unsigned<T>::value) ||
                                  is_unsigned_int128<T>::value,
                              std::true_type,
                              std::false_type>::type;

template <class T>
using to_unsigned = typename std::conditional<
    is_signed_int128<T>::value,
    make_unsigned_int128<T>,
    typename std::conditional<std::is_signed<T>::value,
                              std::make_unsigned<T>,
                              std::common_type<T>>::type>::type;

#else

template <class T> using is_integral = typename std::is_integral<T>;

template <class T>
using is_signed_int =
    typename std::conditional<is_integral<T>::value && std::is_signed<T>::value,
                              std::true_type,
                              std::false_type>::type;

template <class T>
using is_unsigned_int =
    typename std::conditional<is_integral<T>::value &&
                                  std::is_unsigned<T>::value,
                              std::true_type,
                              std::false_type>::type;

template <class T>
using to_unsigned = typename std::conditional<is_signed_int<T>::value,
                                              std::make_unsigned<T>,
                                              std::common_type<T>>::type;

#endif

template <class T>
using is_signed_int_t = std::enable_if_t<is_signed_int<T>::value>;

template <class T>
using is_unsigned_int_t = std::enable_if_t<is_unsigned_int<T>::value>;

template <class T> using to_unsigned_t = typename to_unsigned<T>::type;

}  // namespace internal

}  // namespace atcoder

#include <cassert>
#include <numeric>
#include <type_traits>

#ifdef _MSC_VER
#include <intrin.h>
#endif

namespace atcoder {

namespace internal {

struct modint_base {};
struct static_modint_base : modint_base {};

template <class T> using is_modint = std::is_base_of<modint_base, T>;
template <class T> using is_modint_t = std::enable_if_t<is_modint<T>::value>;

}  // namespace internal

template <int m, std::enable_if_t<(1 <= m)>* = nullptr>
struct static_modint : internal::static_modint_base {
    using mint = static_modint;

  public:
    static constexpr int mod() { return m; }
    static mint raw(int v) {
        mint x;
        x._v = v;
        return x;
    }

    static_modint() : _v(0) {}
    template <class T, internal::is_signed_int_t<T>* = nullptr>
    static_modint(T v) {
        long long x = (long long)(v % (long long)(umod()));
        if (x < 0) x += umod();
        _v = (unsigned int)(x);
    }
    template <class T, internal::is_unsigned_int_t<T>* = nullptr>
    static_modint(T v) {
        _v = (unsigned int)(v % umod());
    }
    static_modint(bool v) { _v = ((unsigned int)(v) % umod()); }

    unsigned int val() const { return _v; }

    mint& operator++() {
        _v++;
        if (_v == umod()) _v = 0;
        return *this;
    }
    mint& operator--() {
        if (_v == 0) _v = umod();
        _v--;
        return *this;
    }
    mint operator++(int) {
        mint result = *this;
        ++*this;
        return result;
    }
    mint operator--(int) {
        mint result = *this;
        --*this;
        return result;
    }

    mint& operator+=(const mint& rhs) {
        _v += rhs._v;
        if (_v >= umod()) _v -= umod();
        return *this;
    }
    mint& operator-=(const mint& rhs) {
        _v -= rhs._v;
        if (_v >= umod()) _v += umod();
        return *this;
    }
    mint& operator*=(const mint& rhs) {
        unsigned long long z = _v;
        z *= rhs._v;
        _v = (unsigned int)(z % umod());
        return *this;
    }
    mint& operator/=(const mint& rhs) { return *this = *this * rhs.inv(); }

    mint operator+() const { return *this; }
    mint operator-() const { return mint() - *this; }

    mint pow(long long n) const {
        assert(0 <= n);
        mint x = *this, r = 1;
        while (n) {
            if (n & 1) r *= x;
            x *= x;
            n >>= 1;
        }
        return r;
    }
    mint inv() const {
        if (prime) {
            assert(_v);
            return pow(umod() - 2);
        } else {
            auto eg = internal::inv_gcd(_v, m);
            assert(eg.first == 1);
            return eg.second;
        }
    }

    friend mint operator+(const mint& lhs, const mint& rhs) {
        return mint(lhs) += rhs;
    }
    friend mint operator-(const mint& lhs, const mint& rhs) {
        return mint(lhs) -= rhs;
    }
    friend mint operator*(const mint& lhs, const mint& rhs) {
        return mint(lhs) *= rhs;
    }
    friend mint operator/(const mint& lhs, const mint& rhs) {
        return mint(lhs) /= rhs;
    }
    friend bool operator==(const mint& lhs, const mint& rhs) {
        return lhs._v == rhs._v;
    }
    friend bool operator!=(const mint& lhs, const mint& rhs) {
        return lhs._v != rhs._v;
    }

  private:
    unsigned int _v;
    static constexpr unsigned int umod() { return m; }
    static constexpr bool prime = internal::is_prime<m>;
};

template <int id> struct dynamic_modint : internal::modint_base {
    using mint = dynamic_modint;

  public:
    static int mod() { return (int)(bt.umod()); }
    static void set_mod(int m) {
        assert(1 <= m);
        bt = internal::barrett(m);
    }
    static mint raw(int v) {
        mint x;
        x._v = v;
        return x;
    }

    dynamic_modint() : _v(0) {}
    template <class T, internal::is_signed_int_t<T>* = nullptr>
    dynamic_modint(T v) {
        long long x = (long long)(v % (long long)(mod()));
        if (x < 0) x += mod();
        _v = (unsigned int)(x);
    }
    template <class T, internal::is_unsigned_int_t<T>* = nullptr>
    dynamic_modint(T v) {
        _v = (unsigned int)(v % mod());
    }
    dynamic_modint(bool v) { _v = ((unsigned int)(v) % mod()); }

    unsigned int val() const { return _v; }

    mint& operator++() {
        _v++;
        if (_v == umod()) _v = 0;
        return *this;
    }
    mint& operator--() {
        if (_v == 0) _v = umod();
        _v--;
        return *this;
    }
    mint operator++(int) {
        mint result = *this;
        ++*this;
        return result;
    }
    mint operator--(int) {
        mint result = *this;
        --*this;
        return result;
    }

    mint& operator+=(const mint& rhs) {
        _v += rhs._v;
        if (_v >= umod()) _v -= umod();
        return *this;
    }
    mint& operator-=(const mint& rhs) {
        _v += mod() - rhs._v;
        if (_v >= umod()) _v -= umod();
        return *this;
    }
    mint& operator*=(const mint& rhs) {
        _v = bt.mul(_v, rhs._v);
        return *this;
    }
    mint& operator/=(const mint& rhs) { return *this = *this * rhs.inv(); }

    mint operator+() const { return *this; }
    mint operator-() const { return mint() - *this; }

    mint pow(long long n) const {
        assert(0 <= n);
        mint x = *this, r = 1;
        while (n) {
            if (n & 1) r *= x;
            x *= x;
            n >>= 1;
        }
        return r;
    }
    mint inv() const {
        auto eg = internal::inv_gcd(_v, mod());
        assert(eg.first == 1);
        return eg.second;
    }

    friend mint operator+(const mint& lhs, const mint& rhs) {
        return mint(lhs) += rhs;
    }
    friend mint operator-(const mint& lhs, const mint& rhs) {
        return mint(lhs) -= rhs;
    }
    friend mint operator*(const mint& lhs, const mint& rhs) {
        return mint(lhs) *= rhs;
    }
    friend mint operator/(const mint& lhs, const mint& rhs) {
        return mint(lhs) /= rhs;
    }
    friend bool operator==(const mint& lhs, const mint& rhs) {
        return lhs._v == rhs._v;
    }
    friend bool operator!=(const mint& lhs, const mint& rhs) {
        return lhs._v != rhs._v;
    }

  private:
    unsigned int _v;
    static internal::barrett bt;
    static unsigned int umod() { return bt.umod(); }
};
template <int id> internal::barrett dynamic_modint<id>::bt = 998244353;

using modint998244353 = static_modint<998244353>;
using modint1000000007 = static_modint<1000000007>;
using modint = dynamic_modint<-1>;

namespace internal {

template <class T>
using is_static_modint = std::is_base_of<internal::static_modint_base, T>;

template <class T>
using is_static_modint_t = std::enable_if_t<is_static_modint<T>::value>;

template <class> struct is_dynamic_modint : public std::false_type {};
template <int id>
struct is_dynamic_modint<dynamic_modint<id>> : public std::true_type {};

template <class T>
using is_dynamic_modint_t = std::enable_if_t<is_dynamic_modint<T>::value>;

}  // namespace internal

}  // namespace atcoder

using namespace atcoder;
using mint = modint998244353;
//using mint = modint1000000007;
#endif
#pragma region template
using ll = long long;
template <class T> using V = vector<T>;
#define rep(i,n) for(int i=0;i<n;++i)
#define all(x) (x).begin(), (x).end()
#define rall(x) (x).rbegin(), (x).rend()
#define sz(x) ((int)(x).size())
#define pb push_back
#define eb emplace_back
#define fi first
#define se second
#ifdef LOCAL
#define debug(var)  do{std::cerr << "\033[1;36m" << #var << ": \033[0m";view(var);std::cerr << std::endl;}while(0)
template<typename T> void view(T e){std::cerr << e;}
template<typename T, typename K> void view(pair<T, K> e){std::cerr << "("; view(e.fi); std::cerr << ", "; view(e.se); std::cerr << ")";}
template<typename T> void view(const set<T> &st){ std::cerr << "\n";for(const auto& e : st){view(e); std::cerr << " ";}}
template<typename T, typename K> void view(const map<T, K> &mp){ std::cerr << "\n";for(const auto& [k, v]: mp){std::cerr << "("; view(k); std::cerr << ", "; view(v); std::cerr << ") ";}}
template<typename T> void view(const unordered_map<int, T> &mp){ std::cerr << "\n";for(const auto& [k, v]: mp){std::cerr << "("; view(k); std::cerr << ", "; view(v); std::cerr << ") ";}}
template<typename T> void view(const std::vector<T>& v){std::cerr << "\n";for(const auto& e : v){ view(e); std::cerr << " "; }}
template<typename T> void view(const std::vector<std::vector<T> >& vv){std::cerr << "\n";int cnt = 0;for(const auto& v : vv){cerr << cnt << "th : "; view(v); cnt++; std::cerr << std::endl;}}
#else 
#define debug(var) 0
#endif
ll power(ll a, ll p){ll ret = 1; while(p){if(p & 1){ret = ret * a;} a = a * a; p >>= 1;} return ret;}
ll modpow(ll a, ll p, ll mod){ll ret = 1; while(p){if(p & 1){ret = ret * a % mod;} a = a * a % mod; p >>= 1;} return ret;}
ll modinv(ll a, ll m) {ll b = m, u = 1, v = 0; while (b) {ll t = a / b ;a -= t * b; swap(a, b);u -= t * v; swap(u, v);}u %= m;if (u < 0) u += m;return u;}
template<class T, class K>bool chmax(T &a, const K b) { if (a<b) { a=b; return 1; } return 0; }
template<class T, class K>bool chmin(T &a, const K b) { if (b<a) { a=b; return 1; } return 0; }
#pragma endregion
int dx[]={1,0,-1,0};
int dy[]={0,1,0,-1};
const int inf = 1001001001;
const ll INF = 1001001001001001001ll;
//const double pi = acos(-1);
//const ll mod = 998244353;
const ll mod = 1000000007;

// reference : https://ei1333.github.io/luzhiled/snippets/math/matrix.html
// gauss_jordan_F2 : https://atcoder.jp/contests/typical90/submissions/25903321
// gauss_jordan : unverified
// matrix exponentiation : verified in https://atcoder.jp/contests/abc129/tasks/abc129_f
// matrix exponentiation (mod)  : verified in https://atcoder.jp/contests/arc020/submissions/27320350 
template<class T>
struct Matrix{
    std::vector<std::vector<T>> A;
    // ll modulo;
    Matrix(){}
    Matrix(int _n):A(_n, std::vector<T>(_n, 0)){}
    Matrix(int _n, int _m):A(_n, std::vector<T>(_m, 0)){}
    //Matrix(int _n, int _m, ll md):A(_n, std::vector<T>(_m, 0)){modulo = md;}
    Matrix(std::vector<std::vector<T>> &_A){ A = _A;}

    int height()const{return A.size();}
    int width()const{return A[0].size();}

    void multiply_vector(std::vector<T> &v){
        assert(width() == v.size());
        std::vector<T> res(height());
        for(int i = 0; i < height(); i++){
            for(int j = 0; j < width(); j++){
                res[i] += (A[i][j] * v[j]);
                //res[i] += (A[i][j] * v[j]) % modulo;
                //if(res[i] >= modulo) res[i] -= modulo;
            }
        }
        v.swap(res);
        return;
    }

    // the result will be in B
    std::pair<int, T> gauss_jordan(Matrix &B){
        int rank = 0;
        T ret = 1;
        B = Matrix(*this);
        int n = height(), m = width();
        for(int col = 0; col < m; col++){
            for(int i = rank; i < n; i++){
                if(B[i][col] != 0){
                    if(i != rank) ret *= -1;
                    swap(B[i], B[rank]);
                    break;
                }
            }
            if(B[rank][col] == 0) continue;
            ret *= B[rank][col];
            for(int j = m - 1; j >= col; j--) B[rank][j] /= B[rank][col];
            for(int r = 0; r < n; r++){
                if(r == rank || B[r][col] == 0) continue;
                for(int c = m - 1; c > col; c--) B[r][c] -= B[r][col] * B[rank][c];
                B[r][col] = 0;
            }
            if(++rank == n) break;
        }
        return std::pair<int, T>(rank, ret);
    }

    Matrix inv(){ // 存在しないなら単位行列を返す
        int n = height(), m = width();
        assert(n = m);
        int rank = 0;
        Matrix B = Matrix(*this), C = identity(n);
        for(int col = 0; col < m; col++){
            for(int i = rank; i < n; i++){
                if(B[i][col] != 0){
                    std::swap(B[i], B[rank]);
                    std::swap(C[i], C[rank]);
                    break;
                }
            }
            if(B[rank][col] == 0) return identity(n);
            for(int j = 0; j < m; j++) C[rank][j] /= B[rank][col];
            for(int j = m - 1; j >= col; j--) B[rank][j] /= B[rank][col];
            for(int r = 0; r < n; r++){
                if(r == rank || B[r][col] == 0) continue;
                for(int c = 0; c < m; c++) C[r][c] -= B[r][col]*C[rank][c];
                for(int c = m - 1; c > col; c--) B[r][c] -= B[r][col]*B[rank][c];
                B[r][col] = 0;
            }
            if(++rank == n) break;
        }
        return C;
    }

    Matrix LU_decomposition(){ // Lの対角部が1、LUの狭義下三角がL
        assert(height() == width());
        Matrix LU = Matrix(*this);
        int n = height();
        for(int k = 0; k < n; k++){
            for(int i = k + 1; i < n; i++){
                LU[i][k] /= LU[k][k];
            }
            for(int i = k + 1; i < n; i++){
                for(int j = k + 1; j < n; j++){
                    LU[i][j] -= LU[j][k] * LU[k][i];
                }
            }
        }
        return LU;
    }

    T det(){
        assert(height() == width());
        Matrix B;
        auto[rank, ret] = gauss_jordan(B);
        if(rank < height()) return T(0);
        return ret;
    }

    Matrix identity(int n){
        Matrix I(n);
        for(int i = 0; i < height(); i++) I[i][i] = 1;
        return I;
    }

    Matrix &operator+=(const Matrix &B){
        int n = height(), m = width();
        assert(n == B.height() && m == B.width());
        for(int i = 0; i < n; i++) for(int j = 0; j < m; j++) (*this)[i][j] += B[i][j];
        return (*this);
    }
    Matrix &operator-=(const Matrix &B){
        int n = height(), m = width();
        assert(n == B.height() && m == B.width());
        for(int i = 0; i < n; i++) for(int j = 0; j < m; j++) (*this)[i][j] -= B[i][j];
        return (*this);
    }
    Matrix &operator*=(const Matrix &B){
        int n = height(), m = width(), l = B.width();
        assert(m == B.height());
        std::vector<std::vector<T>> C(n, std::vector<T>(m, 0));
        for(int i = 0; i < n; i++) for(int j = 0; j < l; j++){
            for(int k = 0; k < m; k++){
                C[i][j] += ((*this)[i][k] * B[k][j]);
                //C[i][j] += ((*this)[i][k] * B[k][j]) % modulo;
                //if(C[i][j] >= modulo) C[i][j] -= modulo;
            }
        }
        A.swap(C);
        return (*this);
    }
    Matrix &operator^=(long long k){
        Matrix B = Matrix::identity(height());
        // B.modulo = this->modulo;
        while(k){
            if(k & 1) B *= *this;
            *this *= *this;
            k >>= 1;
        }
        A.swap(B.A);
        return (*this);
    }
    Matrix operator+(const Matrix &B)const{return (Matrix(*this) += B);}
    Matrix operator-(const Matrix &B)const{return (Matrix(*this) -= B);}
    Matrix operator*(const Matrix &B)const{return (Matrix(*this) *= B);}
    Matrix operator^(const long long k)const{return (Matrix(*this) ^= k);}
    inline std::vector<T> &operator[](int k){ return A.at(k);}
    inline const std::vector<T> &operator[](int k)const{ return A.at(k);}

    friend ostream &operator<<(ostream &os, Matrix &p){
        size_t n = p.height(), m = p.width();
        for(int i = 0; i < n; i++) {
            os << "[";
            for(int j = 0; j < m; j++) {
                os << p[i][j] << (j + 1 == m ? "]\n" : ",");
            }
        }
        return (os);
    }
};


int main(){
    cin.tie(nullptr);
    ios::sync_with_stdio(false);
    //cout << fixed << setprecision(20);
    ll n, m, t; cin >> n >> m >> t;
    V<V<int>> G(n);
    Matrix<mint> A(n, n);
    rep(i,m){
        int a, b; cin >> a >> b;
        A[a][b] = A[b][a] = 1;
    }
    A ^= t;
    V<mint> dp(n);
    dp[0] = 1;
    A.multiply_vector(dp);
    cout << dp[0].val() << endl;
}