import std.conv, std.functional, std.range, std.stdio, std.string; import std.algorithm, std.array, std.bigint, std.bitmanip, std.complex, std.container, std.math, std.mathspecial, std.numeric, std.regex, std.typecons; import core.bitop; class EOFException : Throwable { this() { super("EOF"); } } string[] tokens; string readToken() { for (; tokens.empty; ) { if (stdin.eof) { throw new EOFException; } tokens = readln.split; } auto token = tokens.front; tokens.popFront; return token; } int readInt() { return readToken.to!int; } long readLong() { return readToken.to!long; } real readReal() { return readToken.to!real; } bool chmin(T)(ref T t, in T f) { if (t > f) { t = f; return true; } else { return false; } } bool chmax(T)(ref T t, in T f) { if (t < f) { t = f; return true; } else { return false; } } int binarySearch(alias pred, T)(in T[] as) { int lo = -1, hi = cast(int)(as.length); for (; lo + 1 < hi; ) { const mid = (lo + hi) >> 1; (unaryFun!pred(as[mid]) ? hi : lo) = mid; } return hi; } int lowerBound(T)(in T[] as, T val) { return as.binarySearch!(a => (a >= val)); } int upperBound(T)(in T[] as, T val) { return as.binarySearch!(a => (a > val)); } struct ModInt(uint M_) { import std.conv : to; alias M = M_; uint x; this(ModInt a) { x = a.x; } this(uint x_) { x = x_ % M; } this(ulong x_) { x = x_ % M; } this(int x_) { x = ((x_ %= cast(int)(M)) < 0) ? (x_ + cast(int)(M)) : x_; } this(long x_) { x = cast(uint)(((x_ %= cast(long)(M)) < 0) ? (x_ + cast(long)(M)) : x_); } ref ModInt opAssign(T)(inout(T) a) if (is(T == uint) || is(T == ulong) || is(T == int) || is(T == long)) { return this = ModInt(a); } ref ModInt opOpAssign(string op, T)(T a) { static if (is(T == ModInt)) { static if (op == "+") { x = ((x += a.x) >= M) ? (x - M) : x; } else static if (op == "-") { x = ((x -= a.x) >= M) ? (x + M) : x; } else static if (op == "*") { x = cast(uint)((cast(ulong)(x) * a.x) % M); } else static if (op == "/") { this *= a.inv(); } else static assert(false); return this; } else static if (op == "^^") { if (a < 0) return this = inv()^^(-a); ModInt b = this, c = 1U; for (long e = a; e; e >>= 1) { if (e & 1) c *= b; b *= b; } return this = c; } else { return mixin("this " ~ op ~ "= ModInt(a)"); } } ModInt inv() const { uint a = M, b = x; int y = 0, z = 1; for (; b; ) { const q = a / b; const c = a - q * b; a = b; b = c; const w = y - cast(int)(q) * z; y = z; z = w; } assert(a == 1); return ModInt(y); } ModInt opUnary(string op)() const { static if (op == "+") { return this; } else static if (op == "-") { ModInt a; a.x = x ? (M - x) : 0U; return a; } else static assert(false); } ModInt opBinary(string op, T)(T a) const { return mixin("ModInt(this) " ~ op ~ "= a"); } ModInt opBinaryRight(string op, T)(T a) const { return mixin("ModInt(a) " ~ op ~ "= this"); } bool opCast(T: bool)() const { return (x != 0U); } string toString() const { return x.to!string; } } enum MO = 998244353; alias Mint = ModInt!MO; Mint[long] cache; Mint calc(long n) { assert(n >= 0); auto ptr = n in cache; if (ptr) return *ptr; Mint ret; if (n <= 3) { ret = [0, 1, 3, 6][cast(size_t)(n)]; } else { ret = 6; // 2 k <= n, k >= 2 { const k = n / 2; ret += (calc(k) - 1); ret += Mint(k - 1) * 1; } // 4 k + 1 <= n, k >= 1 { const k = (n - 1) / 4; ret += calc(k); ret += Mint(k) * 3; } // 4 k - 1 <= n, k >= 2 { const k = (n + 1) / 4; ret += (calc(k) - 1); ret += Mint(k - 1) * 3; } } debug { writefln("calc %s = %s", n, ret); } return cache[n] = ret; } void main() { debug { enum V = 2022 + 1; DList!int que; auto dist = new int[V]; dist[] = -1; dist[0] = 0; que ~= 0; for (; !que.empty; ) { const u = que.front; que.removeFront; foreach (v; [u + 1, u - 1, u * 2]) if (0 <= v && v < V) { if (!~dist[v]) { dist[v] = dist[u] + 1; que ~= v; } } } writeln(dist[0 .. 256 + 1]); writeln(dist[0 .. 77 + 1].sum); writeln(dist[0 .. 2022 + 1].sum); foreach (e; 0 .. 8) { writeln(dist[1 << e .. 1 << (e + 1)]); } foreach (u; 4 .. 1 << 8) { int d; if (u % 2 == 0) { d = dist[u / 2] + 1; } else if (u % 4 == 1) { d = dist[u / 4] + 3; } else { d = dist[(u + 1) / 4] + 3; } assert(dist[u] == d, format("%s: %s %s", u, dist[u], d)); } } try { for (; ; ) { const N = readLong; const ans = calc(N); writeln(ans); } } catch (EOFException e) { } }