#!/usr/bin/env python3 # %% import sys read = sys.stdin.buffer.read readline = sys.stdin.buffer.readline readlines = sys.stdin.buffer.readlines import numpy as np MOD = 10**9 + 7 # %% N = int(read()) # %% def cumprod(A, MOD=MOD): L = len(A) Lsq = int(L**.5 + 1) A = np.resize(A, Lsq**2).reshape(Lsq, Lsq) for n in range(1, Lsq): A[:, n] *= A[:, n - 1] A[:, n] %= MOD for n in range(1, Lsq): A[n] *= A[n - 1, -1] A[n] %= MOD return A.ravel()[:L] def make_fact(U, MOD=MOD): x = np.arange(U, dtype=np.int64) x[0] = 1 fact = cumprod(x, MOD) x = np.arange(U, 0, -1, dtype=np.int64) x[0] = pow(int(fact[-1]), MOD - 2, MOD) fact_inv = cumprod(x, MOD)[::-1] fact.flags.writeable = False fact_inv.flags.writeable = False return fact, fact_inv # %% S = np.zeros((N + 1, N + 1), np.int64) S[0, 0] = 1 for n in range(1, N + 1): S[n, 1:] += S[n - 1, :-1] S[n] += S[n - 1] * np.arange(N + 1) S[n] %= MOD # %% fact, fact_inv = make_fact(N + 10) comb = fact[N] * fact_inv[: N + 1] % MOD * fact_inv[: N + 1][::-1] % MOD coef = np.zeros((N + 1, N + 1), np.int64) coef[N] = 1 k = np.arange(N + 1, dtype=np.int64) coef[N - 1] = k * (k - 1) for n in range(N - 1, 0, -1): coef[n - 1] = coef[n] * coef[N - 1] % MOD answer = (coef * S % MOD * comb[:, None] % MOD).sum() % MOD print(answer)