#include using namespace std; using int64 = long long; const int mod = 1e9 + 7; // const int mod = 998244353; const int64 infll = (1LL << 62) - 1; const int inf = (1 << 30) - 1; struct IoSetup { IoSetup() { cin.tie(nullptr); ios::sync_with_stdio(false); cout << fixed << setprecision(10); cerr << fixed << setprecision(10); } } iosetup; template< typename T1, typename T2 > ostream &operator<<(ostream &os, const pair< T1, T2 > &p) { os << p.first << " " << p.second; return os; } template< typename T1, typename T2 > istream &operator>>(istream &is, pair< T1, T2 > &p) { is >> p.first >> p.second; return is; } template< typename T > ostream &operator<<(ostream &os, const vector< T > &v) { for(int i = 0; i < (int) v.size(); i++) { os << v[i] << (i + 1 != v.size() ? " " : ""); } return os; } template< typename T > istream &operator>>(istream &is, vector< T > &v) { for(T &in : v) is >> in; return is; } template< typename T1, typename T2 > inline bool chmax(T1 &a, T2 b) { return a < b && (a = b, true); } template< typename T1, typename T2 > inline bool chmin(T1 &a, T2 b) { return a > b && (a = b, true); } template< typename T = int64 > vector< T > make_v(size_t a) { return vector< T >(a); } template< typename T, typename... Ts > auto make_v(size_t a, Ts... ts) { return vector< decltype(make_v< T >(ts...)) >(a, make_v< T >(ts...)); } template< typename T, typename V > typename enable_if< is_class< T >::value == 0 >::type fill_v(T &t, const V &v) { t = v; } template< typename T, typename V > typename enable_if< is_class< T >::value != 0 >::type fill_v(T &t, const V &v) { for(auto &e : t) fill_v(e, v); } template< typename F > struct FixPoint : F { FixPoint(F &&f) : F(forward< F >(f)) {} template< typename... Args > decltype(auto) operator()(Args &&... args) const { return F::operator()(*this, forward< Args >(args)...); } }; template< typename F > inline decltype(auto) MFP(F &&f) { return FixPoint< F >{forward< F >(f)}; } struct UnionFind { vector< int > data; UnionFind(int sz) { data.assign(sz, -1); } bool unite(int x, int y) { x = find(x), y = find(y); if(x == y) return (false); if(data[x] > data[y]) swap(x, y); data[x] += data[y]; data[y] = x; return (true); } int find(int k) { if(data[k] < 0) return (k); return (data[k] = find(data[k])); } int size(int k) { return (-data[find(k)]); } }; template< typename T, typename F > T boruvka(int N, F f) { vector< int > rev(N), belong(N); UnionFind uf(N); T ret = T(); while(uf.size(0) != N) { int ptr = 0; for(int i = 0; i < N; i++) { if(uf.find(i) == i) { belong[i] = ptr++; rev[belong[i]] = i; } } for(int i = 0; i < N; i++) { belong[i] = belong[uf.find(i)]; } auto v = f(ptr, belong); bool update = false; for(int i = 0; i < ptr; i++) { if(~v[i].second && uf.unite(rev[i], rev[v[i].second])) { ret += v[i].first; update = true; } } if(!update) return -1; // notice!! } return ret; } int main() { int L, R; cin >> L >> R; auto f = [&](int sz, vector< int > belong) { vector< pair< int, int > > ret(sz, {inf, -1}); vector< pair< int, int > > near(R + 2, make_pair(inf, inf)); for(int i = R; i >= L; i--) { near[i] = near[i + 1]; if(near[i].first == inf) { near[i].first = i; } else if(near[i].second == inf) { near[i].second = i; } else if(belong[near[i].first - L] == belong[i - L]) { near[i].first = i; } else { near[i].second = i; } if(near[i].first > near[i].second) swap(near[i].first, near[i].second); } for(int i = L; i <= R; i++) { for(int j = 0; j <= R; j += i) { if(near[j].first != inf && belong[near[j].first - L] != belong[i - L]) { chmin(ret[belong[i - L]], make_pair(near[j].first - j, belong[near[j].first - L])); chmin(ret[belong[near[j].first - L]], make_pair(near[j].first - j, belong[i - L])); } if(near[j].second != inf && belong[near[j].second - L] != belong[i - L]) { chmin(ret[belong[i - L]], make_pair(near[j].second - j, belong[near[j].second - L])); chmin(ret[belong[near[j].second - L]], make_pair(near[j].second - j, belong[i - L])); } } } return ret; }; cout << boruvka< int, decltype(f) >(R - L + 1, f) << endl; }