#include #include #include #include using namespace std; #define REP(i, n) for (int i = 0; i < (n); i++) const int MOD = 1e9 + 7; struct mint { int n; mint(int n_ = 0) : n(n_) {} }; mint operator+(mint a, mint b) { a.n += b.n; if (a.n >= MOD) a.n -= MOD; return a; } mint operator-(mint a, mint b) { a.n -= b.n; if (a.n < 0) a.n += MOD; return a; } mint operator*(mint a, mint b) { return (long long)a.n * b.n % MOD; } mint &operator+=(mint &a, mint b) { return a = a + b; } mint &operator-=(mint &a, mint b) { return a = a - b; } mint &operator*=(mint &a, mint b) { return a = a * b; } mint dp[3001]; int main() { int N, M, K; cin >> N >> M >> K; vector L(M), R(M); REP(i, M) { cin >> L[i] >> R[i]; L[i]--; } dp[0] = 1; REP(i, K) { mint X[3001]; X[0] = 0; REP(j, N) { X[j + 1] = X[j] + dp[j]; } REP(j, N + 1) dp[j] = 0; REP(j, M) { dp[L[j]] += X[R[j]] - X[L[j]]; dp[R[j]] -= X[R[j]] - X[L[j]]; } REP(j, N) dp[j + 1] += dp[j]; } cout << dp[N - 1].n << '\n'; }