#include namespace { #pragma GCC diagnostic ignored "-Wunused-function" #include #pragma GCC diagnostic warning "-Wunused-function" using namespace std; using namespace atcoder; #define rep(i,n) for(int i = 0; i < (int)(n); i++) #define rrep(i,n) for(int i = (int)(n) - 1; i >= 0; i--) #define all(x) begin(x), end(x) #define rall(x) rbegin(x), rend(x) template bool chmax(T& a, const T& b) { if (a < b) { a = b; return true; } else return false; } template bool chmin(T& a, const T& b) { if (b < a) { a = b; return true; } else return false; } using ll = long long; using P = pair; using VI = vector; using VVI = vector; using VL = vector; using VVL = vector; using mint = modint998244353; template struct cntsum { T a, b; // a+bx mod x^2 friend cntsum operator+(const cntsum& lhs, const cntsum& rhs) { return {lhs.a + rhs.a, lhs.b + rhs.b}; } friend cntsum operator-(const cntsum& lhs, const cntsum& rhs) { return {lhs.a - rhs.a, lhs.b - rhs.b}; } friend cntsum operator*(const cntsum& lhs, const cntsum& rhs) { return {lhs.a * rhs.a, lhs.a * rhs.b + lhs.b * rhs.a}; } friend cntsum operator*(const T& c, const cntsum& x) { return {x.a, x.b + c * x.a}; } cntsum& operator+=(const cntsum& x) { return *this = *this + x; } cntsum& operator-=(const cntsum& x) { return *this = *this - x; } cntsum& operator*=(const cntsum& x) { return *this = *this * x; } }; using CS = cntsum; } int main() { ios::sync_with_stdio(false); cin.tie(0); ll n; cin >> n; mint eqs = mint(n) * (n + 1) / 2; CS f[2][2][61][61]; f[0][0][0][0] = {1, 0}; mint p2 = 1; while (n) { CS g[4][4][61][61]; rep(i, 2) rep(j, 2) rep(pi, 61) rep(pj, 61) { auto& val = f[i][j][pi][pj]; if (!val.a.val() && !val.b.val()) continue; rep(di, 2) rep(dj, 2) { g[i+di][j+dj][pi+di][pj+dj] += di && dj ? p2 * val : val; } val = {}; } rrep(i, 3) rrep(j, 4) rep(pi, 61) rep(pj, 61) { g[i+1][j][pi][pj] += g[i][j][pi][pj]; } rrep(i, 4) rrep(j, 3) rep(pi, 61) rep(pj, 61) { g[i][j+1][pi][pj] += g[i][j][pi][pj]; } for (int i = n & 1; i < 4; i += 2) { for (int j = n & 1; j < 4; j += 2) { int ni = i / 2, nj = j / 2; rep(pi, 61) rep(pj, 61) f[ni][nj][pi][pj] = g[i][j][pi][pj]; } } n >>= 1; p2 *= 2; } mint ans; rep(pi, 61) ans += f[0][0][pi][pi].b; ans = (ans + eqs) / 2; cout << ans.val() << '\n'; }