//#define _GLIBCXX_DEBUG #include #define rep(i, n) for(int i=0; i; using vs = vector; using vi = vector; using vvi = vector; template using PQ = priority_queue; template using PQG = priority_queue, greater >; const int INF = 100010001; const ll LINF = (ll)INF*INF*10; template inline bool chmax(T1 &a, T2 b) {return a < b && (a = b, true);} template inline bool chmin(T1 &a, T2 b) {return a > b && (a = b, true);} template istream &operator>>(istream &is, pair &p) { return is >> p.first >> p.second;} template ostream &operator<<(ostream &os, const pair &p) { return os << p.first << ' ' << p.second;} const int mod = 1000000007; //const int mod = 998244353; struct mint { int64_t x; mint(int64_t x=0):x((x%mod+mod)%mod){} mint operator-() const { return mint(-x);} mint& operator+=(const mint a) { if ((x += a.x) >= mod) x -= mod; return *this; } mint& operator-=(const mint a) { if ((x += mod-a.x) >= mod) x -= mod; return *this; } mint& operator*=(const mint a) { (x *= a.x) %= mod; return *this;} mint operator+(const mint a) const { return mint(*this) += a;} mint operator-(const mint a) const { return mint(*this) -= a;} mint operator*(const mint a) const { return mint(*this) *= a;} mint pow(int64_t t) const { if (!t) return 1; mint a = pow(t>>1); a *= a; if (t&1) a *= *this; return a; } //for prime mod mint inv() const { return pow(mod-2);} mint& operator/=(const mint a) { return *this *= a.inv();} mint operator/(const mint a) {return mint(*this) /= a;} }; istream& operator>>(istream& is, mint& a) { return is >> a.x;} ostream& operator<<(ostream& os, const mint& a) { return os << a.x;} const int N = 3010; //head int n, m, k; int l[N], r[N]; mint bit[2][N]; mint X[N]; int now = 1; void add(int i, mint x, int w) { while(i <= n) { bit[w][i] += x; i += i&-i; } } inline void add(int i, int x, int w) {add(i, mint(x), w);} mint sum(int i, int w) { mint res; while(i) { res += bit[w][i]; i &= i-1; } return res; } int main() { ios::sync_with_stdio(false); cin.tie(0); cin >> n >> m >> k; rep(i, m) cin >> l[i] >> r[i]; add(1, 1, 0); rep(i, k) { int pre = now^1; memset(bit[now], 0, sizeof(bit[0])); memset(X, 0, sizeof(X)); rep(j, m) { mint ss = sum(r[j], pre) - sum(l[j]-1, pre); X[l[j]-1] += ss; X[r[j]] -= ss; } rep(j, n) { X[j+1] += X[j]; add(j+1, X[j], now); } now ^= 1; } cout << X[n-1] << endl; }