// yukicoder: No.801 エレベーター // 2019.7.17 bal4u #include #include #if 1 #define gc() getchar_unlocked() #else #define gc() getchar() #endif int in() { // 非負整数の入力 int n = 0, c = gc(); do n = 10 * n + (c & 0xf); while ((c = gc()) >= '0'); return n; } typedef long long ll; #define MOD 1000000007 int L[3003], R[3003]; ll dp[2][3003]; int main() { int i, j, N, M, K, N1, cur, nxt, ans; N = in(), M = in(), K = in(), N1 = N+1; for (i = 0; i < M; i++) L[i] = in(), R[i] = in(); dp[0][1] = 1, cur = 0, nxt = 1; for (i = 0; i < K; i++) { for (j = 1; j <= N1; j++) dp[cur][j] += dp[cur][j-1]; for (j = 0; j < M; j++) if (dp[cur][L[j]]) { ll t = dp[cur][R[j]] - dp[cur][L[j]-1]; dp[nxt][L[j]] += t, dp[nxt][R[j]+1] -= t; } for (j = 1; j <= N1; j++) dp[nxt][j] = (dp[nxt][j] + dp[nxt][j-1]) % MOD; cur = nxt, nxt = !nxt; memset(dp[nxt], 0, sizeof(dp[nxt])); } ans = dp[cur][N]; if (ans < 0) ans += MOD; printf("%d\n", ans); return 0; }