#include #define all(v) v.begin(), v.end() #define rall(v) v.rbegin(), v.rend() #define rep(i,n) for(int i=0;i<(int)(n);i++) #define codefor int test;cin>>test;while(test--) #define INT(...) int __VA_ARGS__;in(__VA_ARGS__) #define LL(...) ll __VA_ARGS__;in(__VA_ARGS__) #define vector2d(type,name,h,...) vector>name(h,vector(__VA_ARGS__)) #define vector3d(type,name,h,w,...) vector>>name(h,vector>(w,vector(__VA_ARGS__))) using namespace std; using ll = long long; template using rpriority_queue = priority_queue, greater>; template istream& operator>>(istream& is, vector& vec) {for(T& x : vec)is >> x;return is;} template ostream& operator<<(ostream& os, const vector& vec) {if(vec.empty())return os;os << vec[0];for(auto it = vec.begin(); ++it!= vec.end();)os << ' ' << *it;return os;} void in(){} template void in(Head& head, Tail&... tail){cin >> head;in(tail...);} void out(){cout << '\n';} templatevoid out(const T& a){cout << a << '\n';} template void out(const Head& head,const Tail&... tail){cout << head << ' ';out(tail...);} const int INF = 1 << 30; const long long INF2 = 1ll << 60; template void chmax(T &a,const T b){if(b>a)a=b;} template void chmin(T &a,const T b){if(b dp2(m + 1, 1 << 30); queue nxt; nxt.push(n); dp2[n] = 0; while(!nxt.empty()){ int v = nxt.front(); nxt.pop(); for(ll i = 1; i * v + 1 <= m; i++){ ll v2 = i * v + 1; if(dp2[v] + 1 >= dp2[v2])continue; dp2[v2] = dp2[v] + 1; nxt.push(v2); } if(__builtin_popcountll(v) == 1){ chmin(dp2[1], dp2[v] + 1); } } map dp; function rec = [&](ll v){ if(v <= m) return (ll)(dp2[v]); if(v == n) return 0ll; if(dp.find(v) != dp.end()) return dp[v]; ll v2 = v - 1, res = v - n; for(ll i = 2; i * i <= v2; i++){ if(v2 % i == 0){ chmin(res, rec(i) + 1); chmin(res, rec(v2 / i) + 1); } } return dp[v] = res; }; ll ans = dp2[1]; for(ll i = 20; i <= 40; i++){ if((1ll << i) < n) continue; map dp3; swap(dp, dp3); chmin(ans, rec(1ll << i) + 1); } cout << ans << '\n'; }