#ifndef LOCAL #define FAST_IO #endif // ============ #include #define OVERRIDE(a, b, c, d, ...) d #define REP2(i, n) for (i32 i = 0; i < (i32)(n); ++i) #define REP3(i, m, n) for (i32 i = (i32)(m); i < (i32)(n); ++i) #define REP(...) OVERRIDE(__VA_ARGS__, REP3, REP2)(__VA_ARGS__) #define PER2(i, n) for (i32 i = (i32)(n)-1; i >= 0; --i) #define PER3(i, m, n) for (i32 i = (i32)(n)-1; i >= (i32)(m); --i) #define PER(...) OVERRIDE(__VA_ARGS__, PER3, PER2)(__VA_ARGS__) #define ALL(x) begin(x), end(x) #define LEN(x) (i32)(x.size()) using namespace std; using u32 = unsigned int; using u64 = unsigned long long; using i32 = signed int; using i64 = signed long long; using f64 = double; using f80 = long double; using pi = pair; using pl = pair; template using V = vector; template using VV = V>; template using VVV = V>>; template using VVVV = V>>>; template using PQR = priority_queue, greater>; template bool chmin(T &x, const T &y) { if (x > y) { x = y; return true; } return false; } template bool chmax(T &x, const T &y) { if (x < y) { x = y; return true; } return false; } template i32 lob(const V &arr, const T &v) { return (i32)(lower_bound(ALL(arr), v) - arr.begin()); } template i32 upb(const V &arr, const T &v) { return (i32)(upper_bound(ALL(arr), v) - arr.begin()); } template V argsort(const V &arr) { V ret(arr.size()); iota(ALL(ret), 0); sort(ALL(ret), [&](i32 i, i32 j) -> bool { if (arr[i] == arr[j]) { return i < j; } else { return arr[i] < arr[j]; } }); return ret; } #ifdef INT128 using u128 = __uint128_t; using i128 = __int128_t; #endif [[maybe_unused]] constexpr i32 INF = 1000000100; [[maybe_unused]] constexpr i64 INF64 = 3000000000000000100; struct SetUpIO { SetUpIO() { #ifdef FAST_IO ios::sync_with_stdio(false); cin.tie(nullptr); #endif cout << fixed << setprecision(15); } } set_up_io; void scan(char &x) { cin >> x; } void scan(u32 &x) { cin >> x; } void scan(u64 &x) { cin >> x; } void scan(i32 &x) { cin >> x; } void scan(i64 &x) { cin >> x; } void scan(f64 &x) { cin >> x; } void scan(string &x) { cin >> x; } template void scan(V &x) { for (T &ele : x) { scan(ele); } } void read() {} template void read(Head &head, Tail &...tail) { scan(head); read(tail...); } #define CHAR(...) \ char __VA_ARGS__; \ read(__VA_ARGS__); #define U32(...) \ u32 __VA_ARGS__; \ read(__VA_ARGS__); #define U64(...) \ u64 __VA_ARGS__; \ read(__VA_ARGS__); #define I32(...) \ i32 __VA_ARGS__; \ read(__VA_ARGS__); #define I64(...) \ i64 __VA_ARGS__; \ read(__VA_ARGS__); #define F64(...) \ f64 __VA_ARGS__; \ read(__VA_ARGS__); #define STR(...) \ string __VA_ARGS__; \ read(__VA_ARGS__); #define VEC(type, name, size) \ V name(size); \ read(name); #define VVEC(type, name, size1, size2) \ VV name(size1, V(size2)); \ read(name); // ============ #ifdef DEBUGF #else #define DBG(...) (void)0 #endif i64 mask(i32 d) { return (1LL << d) - 1; } pl slv(i32 d, i32 top, i64 cur) { static map, pl> memo; if (memo.count(make_tuple(d, top, cur))) { return memo[make_tuple(d, top, cur)]; } if (d == 0) { i64 ans = 0; i64 x = cur; while (x < (1LL << d)) { x += __builtin_popcountll(x) + top; ++ans; } return memo[make_tuple(d, top, cur)] = pl(ans, x); } i64 low = cur & mask(d - 1); auto [cnt, to] = slv(d - 1, top + (low < cur), low); i64 x = cur + to - low; if (x >= (1LL << d)) { return memo[make_tuple(d, top, cur)] = pl(cnt, x); } low = x & mask(d - 1); auto [cnt2, to2] = slv(d - 1, top + 1, low); cnt += cnt2; x += to2 - low; return memo[make_tuple(d, top, cur)] = pl(cnt, x); } i64 slv2(i64 n) { i64 cur = 1; i64 op = 0; while (cur < n) { i32 d = 63 - __builtin_clzll(cur ^ n); i64 low = cur & mask(d); DBG(d, __builtin_popcountll(cur >> d), low); auto [cnt, to] = slv(d, __builtin_popcountll(cur >> d), low); cur += to - low; op += cnt; DBG(cnt, to, d, cur, op, cur & mask(d)); } if (cur == n) { return op + 1; } else { return -1; } } void solve() { I64(n); cout << slv2(n) << '\n'; } int main() { i32 t = 1; // cin >> t; while (t--) { solve(); } }