#include #include #include #include #include #include using namespace std; const long mod = 1e9 + 7; #define all(x) (x).begin(), (x).end() #define bitcount(n) __builtin_popcountl(long(n)) #define fcout cout << fixed << setprecision(15) #define highest(x) (63 - __builtin_clzl(x)) template inline void YES(T condition){ if(condition) cout << "YES" << endl; else cout << "NO" << endl; } template inline void Yes(T condition){ if(condition) cout << "Yes" << endl; else cout << "No" << endl; } template inline void POSS(T condition){ if(condition) cout << "POSSIBLE" << endl; else cout << "IMPOSSIBLE" << endl; } template inline void Poss(T condition){ if(condition) cout << "Possible" << endl; else cout << "Impossible" << endl; } template inline void First(T condition){ if(condition) cout << "First" << endl; else cout << "Second" << endl; } templateint character_count(T text, U character){ int ans = 0; for(U i: text){ ans += (i == character); } return ans; } long power(long base, long exponent, long module){ if(exponent % 2){ return power(base, exponent - 1, module) * base % module; }else if(exponent){ long root_ans = power(base, exponent / 2, module); return root_ans * root_ans % module; }else{ return 1; }} struct position{ int y, x; }; position mv[4] = {{-1, 0}, {0, 1}, {1, 0}, {0, -1}}; // double euclidean(position first, position second){ return sqrt((second.x - first.x) * (second.x - first.x) + (second.y - first.y) * (second.y - first.y)); } template string to_string(pair x){ return to_string(x.first) + "," + to_string(x.second); } string to_string(string x){ return x; } template void array_output(itr start, itr goal){ string ans; for(auto i = start; i != goal; i++) ans += to_string(*i) + " "; if(!ans.empty()) ans.pop_back(); cout << ans << endl; } template void cins(itr start, itr goal){ for(auto i = start; i != goal; i++){ cin >> (*i); } } template T gcd(T a, T b){ if(a && b){ return gcd(min(a, b), max(a, b) % min(a, b)); }else{ return a; }} template T lcm(T a, T b){ return a / gcd(a, b) * b; } struct combination{ vector fact, inv; combination(int sz) : fact(sz + 1), inv(sz + 1){ fact[0] = 1; for(int i = 1; i <= sz; i++){ fact[i] = fact[i - 1] * i % mod; } inv[sz] = power(fact[sz], mod - 2, mod); for(int i = sz - 1; i >= 0; i--){ inv[i] = inv[i + 1] * (i + 1) % mod; } } long C(int p, int q) const{ if(q < 0 || p < q) return 0; return (fact[p] * inv[q] % mod * inv[p - q] % mod); } }; int main(){ int N, M, K; cin >> N >> M >> K; int elevator[N][N + 1]; for(int i = 0; i < N; i++){ for(int j = 0; j <= N; j++){ elevator[i][j] = 0; } } for(int i = 0; i < M; i++){ int L, R; cin >> L >> R; for(int j = L - 1; j < R; j++){ elevator[j][L - 1]++; elevator[j][R]--; } } for(int i = 0; i < N; i++){ for(int j = 0; j < N; j++){ elevator[i][j + 1] += elevator[i][j]; } } long dp[K + 1][N]; for(int i = 0; i < N; i++){ dp[K][i] = 0; } dp[K][N - 1] = 1; for(int i = K - 1; i >= 0; i--){ for(int j = 0; j < N; j++){ dp[i][j] = 0; for(int k = 0; k < N; k++){ dp[i][j] += (dp[i + 1][k] * elevator[j][k]) % mod; } dp[i][j] %= mod; } } cout << dp[0][0] << endl; }