#include #include #include #include #define REP(i, a, b) for (int i = int(a); i < int(b); i++) #ifdef _DEBUG_ #define dump(val) cerr << __LINE__ << ":\t" << #val << " = " << (val) << endl #else #define dump(val) #endif using namespace std; typedef long long int ll; template vector make_v(size_t a, T b) { return vector(a, b); } template auto make_v(size_t a, Ts... ts) { return vector(a, make_v(ts...)); } const ll mod = 1000000007; class SegmentTree { vector data; int N; public: SegmentTree(int n) { N = 1; while (N < n) N *= 2; data.resize(2 * N - 1, 0LL); } void add(int l, int r, ll val) { add(l, r, 0, N, 0, val); } void add(int l, int r, int a, int b, int x, ll val) { if (b <= l || r <= a) return; if (l <= a && b <= r) { data[x] = (data[x] + val) % mod; return; } int mid = (a + b) / 2; add(l, r, a, mid, 2 * x + 1, val); add(l, r, mid, b, 2 * x + 2, val); } ll get(int pos) { pos += N - 1; ll ans = data[pos]; while (pos > 0) { pos = (pos - 1) / 2; ans = (ans + data[pos]) % mod; } return ans; } }; int main() { cin.tie(nullptr); ios::sync_with_stdio(false); int n, m, k; cin >> n >> m >> k; vector L(m), R(m); REP(i, 0, m) { cin >> L[i] >> R[i]; } auto dp = make_v(k + 1, n, 0LL); dp[0][0] = 1; REP(i, 0, k) { SegmentTree segtree(n); vector sum(n + 1, 0LL); REP(j, 0, n) { sum[j + 1] = (sum[j] + dp[i][j]) % mod; } REP(j, 0, m) { ll a = (sum[R[j]] - sum[L[j] - 1] + mod) % mod; segtree.add(L[j] - 1, R[j], a); } REP(j, 0, n) { dp[i + 1][j] = segtree.get(j); } } cout << dp[k][n - 1] << endl; return 0; }