MOD = 10 ** 9 + 7 fact_range = 2 * 10**6 + 100 fact = [1] * (fact_range + 1) for i in range(0, fact_range): fact[i+1] = fact[i] * (i + 1) % MOD ifact = [1] * (fact_range + 1) ifact[fact_range] = pow(fact[fact_range], MOD - 2, MOD) for i in range(fact_range, 0, -1): ifact[i-1] = ifact[i] * i % MOD def comb(n, k): if k == 0: return 1 if k < 0 or n < k: return 0 else: return fact[n] * ifact[n-k] % MOD * ifact[k] % MOD n, m = map(int, input().split()) s = [0] * (n + 2) for i in range(n + 1)[::-1]: s[i] = s[i + 1] + comb(n, i) s[i] %= MOD ans = s[m] * n % MOD # print(ans) # touch y = x + k for k in range(1, n - m + 1): ans += s[m + k] # m + k <= n, k <= n - m + 1 ans %= MOD # print(k, ans, s[m + k], m - k) # print('aa', ans) t = [0] * (n + 2) for i in range(n + 1)[::-1]: t[i] = t[i + 1] + comb(n, i) * max(0, 2 * i - n) t[i] %= MOD u = [0] * (n + 2) for i in range(n + 1)[::-1]: u[i] = u[i + 1] + comb(n, i) * max(0, 2 * i - n - 1) u[i] %= MOD for k in range(1, n - m + 1): ans += t[m + k] - max(0, u[m + k - 1]) ans %= MOD print(ans)