#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; } int main() { ios::sync_with_stdio(false); cin.tie(0); mint pow2[64]; pow2[0] = 1; rep(i, 63) pow2[i + 1] = pow2[i] * 2; ll m; cin >> m; int n = __lg(m) + 1; mint ans; ans += mint(2).pow(1LL << (n - 1)) - 1; mint dp[2][2]; dp[0][0] = 1; rrep(k, n - 1) { int bit = m >> k & 1; mint ndp[2][2]; mint c = mint(2).pow(1LL << k); mint coeff[2][2] = {{c, c}, {1, c * c}}; rep(i, 2) rep(j, 2) rep(x, 2) rep(pre, 2) { if (bit) { int ni = i | !x; int nj = j | pre; ndp[ni][nj] += dp[i][j] * coeff[x][pre]; } else { if (!i && x) continue; int ni = i; int nj = j | pre; ndp[ni][nj] += dp[i][j] * coeff[x][pre]; } } swap(dp, ndp); } ans += dp[1][0] * 2 + dp[1][1]; cout << ans.val() << '\n'; }