#include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #define rep(i, n) for (int i = 0; i < (int)(n); ++i) //#define cerr if(false) cerr #define show(...) cerr << #__VA_ARGS__ << " = ",debug(__VA_ARGS__); using namespace std; using ll = long long; using pii = pair; template ostream &operator<<(ostream &os, pair a){ os << '(' << a.first << ',' << a.second << ')'; return os; } template ostream &operator<<(ostream &os, vector v){ for(auto x:v)os << x << ' '; return os; } void debug(){cerr << '\n';} template void debug(H a, T... b){ cerr << a; if(sizeof...(b))cerr << ", "; debug(b...); } ll mod = 1e9+7; ll dp[3005][3005]; int main(){ int n,m,k; cin >> n >> m >> k; vectorL(m),R(m); rep(i,m){ cin >> L[i] >> R[i]; } dp[0][1] = 1; for(int i = 0; i < k; i++){ for(int j = 0; j < n; j++){ dp[i][j+1] += dp[i][j]; dp[i][j+1] %= mod; } for(int j = 0; j < m; j++){ ll sum = (dp[i][R[j]]-dp[i][L[j]-1]+mod)%mod; dp[i+1][L[j]] = (dp[i+1][L[j]] + sum) % mod; dp[i+1][R[j]+1] = (dp[i+1][R[j]+1] - sum + mod) % mod; } for(int j = 0; j < n; j++){ dp[i+1][j+1] += dp[i+1][j]; dp[i+1][j+1] %= mod; } } cout << dp[k][n] << endl; }