#include #include #include #include #include #include #include #include #include static const int MOD = 1000000007; using ll = int64_t; using u32 = uint32_t; using namespace std; template constexpr T INF = ::numeric_limits::max()/32*15+208; template vector make_v(U size, const T& init){ return vector(static_cast(size), init); } template auto make_v(U size, Ts... rest) { return vector(static_cast(size), make_v(rest...)); } template void chmin(T &a, const T &b){ a = (a < b ? a : b); } template void chmax(T &a, const T &b){ a = (a > b ? a : b); } int main() { int n, m, k; cin >> n >> m >> k; vector> v; for (int i = 0; i < m; ++i) { int l, r; cin >> l >> r; v.emplace_back(l, r); } auto dp = make_v(k+1, n+1, (ll)0); fill(dp[0].begin(), dp[0].end(), 1); dp[0][0] = 0; for (int i = 0; i < k; ++i) { for (int j = 0; j < m; ++j) { int l, r; tie(l, r) = v[j]; ll x = (dp[i][r] - dp[i][l-1] + MOD) % MOD; (dp[i+1][l] += x) %= MOD; if(r != n) (dp[i+1][r+1] += MOD-x) %= MOD; } for (int j = 0; j < n; ++j) { (dp[i+1][j+1] += dp[i+1][j]) %= MOD; } for (int j = 0; j < n; ++j) { (dp[i+1][j+1] += dp[i+1][j]) %= MOD; } } cout << (dp[k][n] - dp[k][n-1]+MOD) % MOD << "\n"; return 0; }