#include "bits/stdc++.h" #define REP(i,n) for(ll i=0;i=0;--i) #define FOR(i,m,n) for(ll i=m;i=ll(m);--i) #define ALL(v) (v).begin(),(v).end() #define UNIQUE(v) v.erase(unique(ALL(v)),v.end()); #define INF 1000000001ll #define MOD 1000000007ll #define EPS 1e-9 constexpr int dx[8] = { 1,1,0,-1,-1,-1,0,1 }; constexpr int dy[8] = { 0,1,1,1,0,-1,-1,-1 }; using namespace std; using ll = long long; using vi = vector; using vl = vector; using vvi = vector; using vvl = vector; using pii = pair; using pll = pair; template bool chmin(T &a, T b) { if (a > b) { a = b; return true; } return false; } template bool chmax(T &a, T b) { if (a < b) { a = b; return true; } return false; } #include "bits/stdc++.h" struct RARS { struct t1 { long long val, size; constexpr t1(long long v, long long s) :val(v%MOD), size(s%MOD) {} }; using t2 = long long; static constexpr t1 id1() { return t1(0, 1); } static constexpr t2 id2() { return 0ll; } static t1 op1(const t1 &a, const t1 &b) { return t1((a.val + b.val) % MOD, (a.size + b.size) % MOD); } static t1 op2(const t1 &a, const t2 &b) { return t1((a.val + b * a.size) % MOD, a.size); } static t2 op3(const t2 &a, const t2 &b) { return (a + b) % MOD; } }; template struct LazySegmentTree { int n; using T1 = typename M::t1; using T2 = typename M::t2; std::vector nodes; std::vector lazy; LazySegmentTree(std::vector v) { int sz = (int)v.size(); n = 1; while (n < sz) n *= 2; nodes.resize(2 * n - 1, M::id1()); lazy.resize(2 * n - 1, M::id2()); for (int i = 0; i < sz; i++) nodes[i + n - 1] = v[i]; for (int i = n - 2; i >= 0; i--) nodes[i] = M::op1(nodes[i * 2 + 1], nodes[i * 2 + 2]); } LazySegmentTree(int _n) { int sz = _n; n = 1; while (n < sz) n *= 2; nodes.resize(2 * n - 1, M::id1()); lazy.resize(2 * n - 1, M::id2()); for (int i = n - 2; i >= 0; i--) nodes[i] = M::op1(nodes[i * 2 + 1], nodes[i * 2 + 2]); } void eval(int k, int l, int r) { if (lazy[k] != M::id2()) { nodes[k] = M::op2(nodes[k], lazy[k]); if (r - l > 1) { lazy[2 * k + 1] = M::op3(lazy[2 * k + 1], lazy[k]); lazy[2 * k + 2] = M::op3(lazy[2 * k + 2], lazy[k]); } lazy[k] = M::id2(); } } void update(int a, int b, T2 x) { update(a, b, x, 0, 0, n); } T1 query(int a, int b) { return query(a, b, 0, 0, n); } private: void update(int a, int b, T2 x, int k, int l, int r) { eval(k, l, r); if (b <= l || r <= a)return; if (a <= l && r <= b) { lazy[k] = M::op3(lazy[k], x); eval(k, l, r); } else { update(a, b, x, 2 * k + 1, l, (l + r) / 2); update(a, b, x, 2 * k + 2, (l + r) / 2, r); nodes[k] = M::op1(nodes[2 * k + 1], nodes[2 * k + 2]); } } T1 query(int a, int b, int k, int l, int r) { if (b <= l || r <= a)return M::id1(); eval(k, l, r); if (a <= l && r <= b)return nodes[k]; return M::op1(query(a, b, 2 * k + 1, l, (l + r) / 2), query(a, b, 2 * k + 2, (l + r) / 2, r)); } }; int main() { cin.tie(0); ios::sync_with_stdio(false); int n, m, k; cin >> n >> m >> k; vi l(m), r(m); REP(i, m) { cin >> l[i] >> r[i]; l[i]--; } using Lseg = LazySegmentTree; LazySegmentTree st(n); st.update(0, 1, 1); REP(i, k) { Lseg next(n); REP(j, m) { next.update(l[j], r[j], st.query(l[j], r[j]).val); } st = move(next); } cout << st.query(n - 1, n).val << endl; }