#include "bits/stdc++.h" #include "atcoder/all" using namespace std; using namespace atcoder; using mint = modint1000000007; const int mod = 1000000007; //using mint = modint998244353; //const int mod = 998244353; //const int INF = 1e9; //const long long LINF = 1e18; //const bool debug = false; #define rep(i, n) for (int i = 0; i < (n); ++i) #define rep2(i,l,r)for(int i=(l);i<(r);++i) #define rrep(i, n) for (int i = (n-1); i >= 0; --i) #define rrep2(i,l,r)for(int i=(r-1);i>=(l);--i) #define all(x) (x).begin(),(x).end() #define allR(x) (x).rbegin(),(x).rend() #define endl "\n" #define P pair template inline bool chmax(A & a, const B & b) { if (a < b) { a = b; return true; } return false; } template inline bool chmin(A & a, const B & b) { if (a > b) { a = b; return true; } return false; } struct combination { vector fact, ifact; combination(int n) :fact(n + 1), ifact(n + 1) { assert(n < mod); fact[0] = 1; for (int i = 1; i <= n; ++i) fact[i] = fact[i - 1] * i; ifact[n] = fact[n].inv(); for (int i = n; i >= 1; --i) ifact[i - 1] = ifact[i] * i; } mint operator()(int n, int k) { return com(n, k); } mint com(int n, int k) { //負の二項係数を考慮する場合にコメントアウトを外す //if (n < 0) return com(-n, k) * (k % 2 ? -1 : 1); if (k < 0 || k > n) return 0; return fact[n] * ifact[k] * ifact[n - k]; } mint inv(int n, int k) { //if (n < 0) return inv(-n, k) * (k % 2 ? -1 : 1); if (k < 0 || k > n) return 0; return ifact[n] * fact[k] * fact[n - k]; } mint p(int n, int k) { return fact[n] * ifact[n - k]; } }c(2000005); int main() { ios::sync_with_stdio(false); cin.tie(nullptr); int n, m; cin >> n >> m; mint ansl = 0; vectorsumc(n + 1); sumc[0] = 0; rep(i, n)sumc[i + 1] = sumc[i] + c(n, i); { rep2(i, m, n + 1) { int a = i; int b = n - i; // t <= b - a if (b - a > 0)ansl += c(n, a) * (b - a); // b - a < t <= b //rep2(j, max(1, b - a + 1), b + 1)ansl += c(n, b - j); ansl += sumc[(b-(max(1, b - a + 1))) + 1] - sumc[0]; // t > b // + 0 } } mint ansn = 0; rep2(i, m, n + 1) ansn += c(n, i) * n; mint ansr = 0; { rep2(i, m, n + 1) { int a = n - i; int b = i; // t <= b - a if (b - a > 0)ansr += c(n, a) * (b - a); // b - a < t <= b //rep2(j, max(1, b - a + 1), b + 1)ansr += c(n, b - j); ansr += sumc[(b - (max(1, b - a + 1))) + 1] - sumc[0]; // t > b // + 0 } } mint ans = ansl + ansn + ansr; cout << ans.val() << endl; return 0; }