#include using namespace std::literals::string_literals; using i64 = long long; using std::cout; using std::endl; using std::cin; const int MOD = 1e9 + 7; struct LazySegmentTree { std::vector seg, lazy; int sz = 1; LazySegmentTree(int n) { while(sz < n) sz <<= 1; seg.assign(sz * 2 - 1, 0); lazy.assign(sz * 2 - 1, 0); } void update(int k, int x = 1) { k += sz - 1; seg[k] = x; while(k) { k = (k - 1) >> 1; seg[k] = (seg[2 * k + 1] + seg[2 * k + 2]) % MOD; } } void push(int k, int l, int r) { if(k < sz - 1) { (lazy[2 * k + 1] += lazy[k]) %= MOD; (lazy[2 * k + 2] += lazy[k]) %= MOD; } (seg[k] += (i64)lazy[k] * (i64)(r - l) % MOD) %= MOD; lazy[k] = 0; } void add(int a, int b, int k, int l, int r, int x) { push(k, l, r); if(b <= l || r <= a) return; if(a <= l && r <= b) { (lazy[k] += x) %= MOD; push(k, l, r); return; } add(a, b, 2 * k + 1, l, (l + r) >> 1, x); add(a, b, 2 * k + 2, (l + r) >> 1, r, x); seg[k] = (seg[2 * k + 1] + seg[2 * k + 2]) % MOD; } void add(int a, int b, int x) { add(a, b, 0, 0, sz, x); } int get(int a, int b, int k, int l, int r) { push(k, l, r); if(b <= l || r <= a) return 0; if(a <= l && r <= b) return seg[k]; int L = get(a, b, 2 * k + 1, l, (l + r) >> 1); int R = get(a, b, 2 * k + 2, (l + r) >> 1, r); return (L + R) % MOD; } int get(int a, int b) { return get(a, b, 0, 0, sz); } int operator[](int k) { return get(k, k + 1); } }; i64 pow_mod(i64 x, int n = MOD - 2) { i64 ret = 1; while(n) { if(n & 1) (ret *= x) %= MOD; (x *= x) %= MOD; n >>= 1; } return ret; } int main() { int n, m, k; scanf("%d%d%d", &n, &m, &k); std::vector l(m), r(m); for(int i = 0; i < m; i++) { scanf("%d%d", &l[i], &r[i]); l[i]--; } LazySegmentTree dp(n), dp2(n); dp.update(0); for(int i = 0; i < k; i++) { dp2 = LazySegmentTree(n); for(int j = 0; j < m; j++) { int tmp = dp.get(l[j], r[j]); dp2.add(l[j], r[j], tmp); } std::swap(dp, dp2); } printf("%d\n", dp[n - 1]); return 0; }