#include typedef long long ll; #define rep(i,m,n) for(ll i = (m); i < (n); i++) #define rrep(i,m,n) for(ll i = (m); i >= (n); i--) #define print(x) cout << (x) << endl; #define print2(x,y) cout << (x) << " " << (y) << endl; #define printa(x,n) for(ll i = 0; i < n; i++){ cout << (x[i]) << " \n"[i == n-1];} #define printp(x,n) for(ll i = 0; i < n; i++){ cout << "(" << x[i].first << ", " << x[i].second << ") "; } cout << endl; #define INF (1e18 + 7) using namespace std; const ll MOD = 1e9 + 7; typedef pair lpair; ll dp[3010][3010] = {};// dp[i][j]: i回の移動の後、j階にいるような乗り方の総数 int main(){ cin.tie(0); ios::sync_with_stdio(false); ll N,M,K; ll L[3010], R[3010]; cin >> N >> M >> K; rep(i,0,M) cin >> L[i] >> R[i]; // ll dp_cur[3010] = {}, dp_next[3010] = {}; // dp_cur[1] = 1; // rep(i,0,K){ // memset(dp_next, 0, sizeof(dp_next)); // ll sum[3010] = {}; // rep(i,0,N+1) sum[i+1] = (sum[i] + dp_cur[i]) % MOD; // rep(i,0,M){ // ll v = (sum[R[i]+1] - sum[L[i]] + MOD) % MOD; // dp_next[L[i]] += v % MOD; // dp_next[L[i]] %= MOD; // dp_next[R[i]+1] += (MOD - v) % MOD; // dp_next[R[i]+1] %= MOD; // } // rep(i,0,N+1){ // dp_next[i+1] += dp_next[i]; // dp_next[i+1] %= MOD; // } // rep(i,0,N+1) dp_cur[i] = dp_next[i]; // } // print(dp_cur[N]); dp[0][1] = 1; rep(i,0,K){ ll val[3010] = {}; rep(j,0,N+1) val[j+1] = (val[j] + dp[i][j]) % MOD; rep(j,0,M){ ll v = (val[R[j]+1] - val[L[j]] + MOD) % MOD; dp[i+1][L[j]] += v; dp[i+1][L[j]] %= MOD; dp[i+1][R[j]+1] += (MOD - v) % MOD; dp[i+1][R[j]+1] %= MOD; } rep(j,0,N+1){ dp[i+1][j+1] += dp[i+1][j]; dp[i+1][j+1] %= MOD; } } print(dp[K][N]); }