#include using namespace std; struct fast_ios { fast_ios(){ cin.tie(0); ios::sync_with_stdio(false); cout << fixed << setprecision(20); }; } fast_ios_; #define FOR(i, begin, end) for(int i=(begin);i<(end);i++) #define REP(i, n) FOR(i,0,n) #define IFOR(i, begin, end) for(int i=(end)-1;i>=(begin);i--) #define IREP(i, n) IFOR(i,0,n) #define Sort(v) sort(v.begin(), v.end()) #define Reverse(v) reverse(v.begin(), v.end()) #define all(v) v.begin(),v.end() #define SZ(v) ((int)v.size()) #define Lower_bound(v, x) distance(v.begin(), lower_bound(v.begin(), v.end(), x)) #define Upper_bound(v, x) distance(v.begin(), upper_bound(v.begin(), v.end(), x)) #define Max(a, b) a = max(a, b) #define Min(a, b) a = min(a, b) #define bit(n) (1LL<<(n)) #define Ans(f, y, n) if(f) cout << y << endl; else cout << n << endl; #define debug(x) cout << #x << "=" << x << endl; #define vdebug(v) cout << #v << "=" << endl; REP(i, v.size()){ cout << v[i] << ","; } cout << endl; #define mdebug(m) cout << #m << "=" << endl; REP(i, m.size()){ REP(j, m[i].size()){ cout << m[i][j] << ","; } cout << endl;} #define pb push_back #define f first #define s second #define int long long #define INF 1000000000000000000 using vec = vector; using mat = vector; using Pii = pair; using PiP = pair; using PPi = pair; using bools = vector; using pairs = vector; template void readv(vector &a){ REP(i, a.size()) cin >> a[i]; } void readv_m1(vector &a){ REP(i, a.size()){cin >> a[i]; a[i]--;} } //int dx[4] = {1,0,-1,0}; //int dy[4] = {0,1,0,-1}; int mod = 1000000007; //int mod = 998244353; #define Add(x, y) x = (x + (y)) % mod #define Mult(x, y) x = (x * (y)) % mod class Lazy_segment_tree { using data_type = int; public: vector dat, lazy; int N; data_type id, id2; //区間演算結果を求めるクエリに関する演算 data_type func(data_type u, data_type v){ return u + v; } //区間更新に関する演算 data_type func2(data_type u, data_type v){ return u + v; } //作用素同士の演算 data_type func3(data_type u, data_type v){ return u + v; } Lazy_segment_tree(int n, data_type id, data_type id2): id(id), id2(id2) { N = 1; while(n > N) N = N << 1; dat = vector(2 * N - 1, id); lazy = vector(2 * N - 1, id2); } Lazy_segment_tree(int n, data_type id, data_type id2, vector v): id(id), id2(id2) { N = 1; while(n > N) N = N << 1; dat = vector(2 * N - 1, id); lazy = vector(2 * N - 1, id2); REP(i, n) dat[i + N - 1] = v[i]; IREP(i, N - 1) dat[i] = func(dat[i * 2 + 1], dat[i * 2 + 2]); } void reset(){ fill(all(dat), 0); fill(all(lazy), 0); } //遅延評価 void eval(int k, int l, int r){ if(lazy[k] != id2){ //子ノード数に比例した量の演算をする場合 dat[k] = func2(dat[k], lazy[k] * (r - l)); //子ノード数に依存しない場合 //dat[k] = func2(dat[k], lazy[k]); if(r - l > 1){ lazy[k * 2 + 1] = func3(lazy[k * 2 + 1], lazy[k]); lazy[k * 2 + 2] = func3(lazy[k * 2 + 2], lazy[k]); } lazy[k] = id2; } } void update(int a, int b, data_type x, int k, int l, int r){ eval(k, l, r); if(b <= l || r <= a) return; if(a <= l && r <= b){ lazy[k] = func3(lazy[k], x); eval(k, l, r); }else{ update(a, b, x, k * 2 + 1, l, (l + r) / 2); update(a, b, x, k * 2 + 2, (l + r) / 2, r); dat[k] = func(dat[k * 2 + 1], dat[k * 2 + 2]); } } data_type query(int a, int b, int k, int l, int r){ if(r <= a || b <= l) return id; eval(k, l, r); if(a <= l && r <= b) return dat[k]; else{ data_type vl = query(a, b, k * 2 + 1, l, (l + r) / 2); data_type vr = query(a, b, k * 2 + 2, (l + r) / 2, r); return func(vl, vr); } } //[a,b)の区間更新 void update(int a, int b, data_type x){ update(a, b, x, 0, 0, N); } //[a, b)の演算結果 data_type query(int a, int b){ return query(a, b, 0, 0, N); } data_type getdat(int k){ return query(k, k + 1); } }; signed main(){ int N, M, K; cin >> N >> M >> K; vec L(M), R(M); REP(i, M){ cin >> L[i] >> R[i]; L[i]--; R[i]--; } vec dp(N, 0); dp[0] = 1; Lazy_segment_tree ST(N, 0, 0, dp); vec num(M); REP(k, K){ REP(i, M){ num[i] = ST.query(L[i], R[i] + 1) % mod; } ST.reset(); REP(i, M){ ST.update(L[i], R[i] + 1, num[i]); } } int ans = ST.getdat(N - 1) % mod; cout << ans << endl; return 0; }