#include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include using namespace std; using namespace atcoder; typedef long long ll; #define rep(i, n) for (int i = 0; i < (int)(n); i++) #define repr(i, n) for (int i = (int)(n) - 1; i >= 0; i--) #define repk(i, k, n) for (int i = k; i < (int)(n); i++) #define all(v) v.begin(), v.end() #define mod1 1000000007 #define mod2 998244353 #define mod3 100000007 #define vi vector #define vs vector #define vc vector #define vl vector #define vb vector #define vvi vector> #define vvc vector> #define vvl vector> #define vvb vector> #define vvvi vector>> #define vvvl vector>> #define pii pair #define pil pair #define pli pair #define pll pair #define vpii vector> #define vpll vector> #define vvpii vector>> #define vvpll vector>> template void debug(T e) { cerr << e << endl; } template void debug(vector &v) { rep(i, v.size()) { cerr << v[i] << " "; } cerr << endl; } template void debug(vector> &v) { rep(i, v.size()) { rep(j, v[i].size()) { cerr << v[i][j] << " "; } cerr << endl; } } template void debug(vector> &v) { rep(i, v.size()) { cerr << v[i].first << " " << v[i].second << endl; } } template void debug(set &st) { for (auto itr = st.begin(); itr != st.end(); itr++) { cerr << *itr << " "; } cerr << endl; } template void debug(multiset &ms) { for (auto itr = ms.begin(); itr != ms.end(); itr++) { cerr << *itr << " "; } cerr << endl; } template void debug(map &mp) { for (auto itr = mp.begin(); itr != mp.end(); itr++) { cerr << itr->first << " " << itr->second << endl; } } void debug_out() { cerr << endl; } template void debug_out(Head H, Tail... T) { cerr << H << " "; debug_out(T...); } using mint = modint998244353; void debug_mint1(vector &vec) { for (int i = 0; i < vec.size(); i++) { cerr << vec[i].val() << " "; } cerr << endl; } void debug_mint2(vector> &vec) { for (int i = 0; i < vec.size(); i++) { for (int j = 0; j < vec[i].size(); j++) { cerr << vec[i][j].val() << " "; } cerr << endl; } } int main() { ll n; cin >> n; ll LB = 61; vector>>> dp1(LB, vector>>(LB, vector>(2, vector(2)))); vector>>> dp2(LB, vector>>(LB, vector>(2, vector(2)))); dp1[0][0][0][0] = mint(1); for (ll x = 59; x >= 0; x--){ vector>>> ndp1(LB, vector>>(LB, vector>(2, vector(2)))); vector>>> ndp2(LB, vector>>(LB, vector>(2, vector(2)))); for (ll i = 0; i < LB - 1; i++){ for (ll j = 0; j < LB - 1; j++){ for (ll k = 0; k < 2; k++){ for (ll l = 0; l < 2; l++){ ndp1[i + k][j + l][1][1] += dp1[i][j][1][1]; ndp2[i + k][j + l][1][1] += dp2[i][j][1][1]; ndp2[i + k][j + l][1][1] += dp1[i][j][1][1] * mint(k) * mint(l) * mint(1LL << x); } } if ((n >> x) & 1){ for (ll k = 0; k < 2; k++){ for (ll l = 0; l < 2; l++){ ndp1[i + k][j + l][1 - k][1 - l] += dp1[i][j][0][0]; ndp2[i + k][j + l][1 - k][1 - l] += dp2[i][j][0][0]; ndp2[i + k][j + l][1 - k][1 - l] += dp1[i][j][0][0] * mint(k) * mint(l) * mint(1LL << x); } } for (ll k = 0; k < 2; k++){ for (ll l = 0; l < 2; l++){ ndp1[i + k][j + l][1][1 - l] += dp1[i][j][1][0]; ndp2[i + k][j + l][1][1 - l] += dp2[i][j][1][0]; ndp2[i + k][j + l][1][1 - l] += dp1[i][j][1][0] * mint(k) * mint(l) * mint(1LL << x); } } for (ll k = 0; k < 2; k++){ for (ll l = 0; l < 2; l++){ ndp1[i + k][j + l][1 - k][1] += dp1[i][j][0][1]; ndp2[i + k][j + l][1 - k][1] += dp2[i][j][0][1]; ndp2[i + k][j + l][1 - k][1] += dp1[i][j][0][1] * mint(k) * mint(l) * mint(1LL << x); } } } else{ ndp1[i][j][0][0] += dp1[i][j][0][0]; ndp2[i][j][0][0] += dp2[i][j][0][0]; for (ll k = 0; k < 2; k++){ ndp1[i + k][j][1][0] += dp1[i][j][1][0]; ndp2[i + k][j][1][0] += dp2[i][j][1][0]; } for (ll l = 0; l < 2; l++){ ndp1[i][j + l][0][1] += dp1[i][j][0][1]; ndp2[i][j + l][0][1] += dp2[i][j][0][1]; } } } } for (ll i = 0; i < LB; i++){ for (ll j = 0; j < LB; j++){ for (ll k = 0; k < 2; k++){ for (ll l = 0; l < 2; l++){ dp1[i][j][k][l] = ndp1[i][j][k][l]; dp2[i][j][k][l] = ndp2[i][j][k][l]; } } } } } mint ans = mint(0); for (ll i = 0; i < LB; i++){ for (ll j = 0; j < 2; j++){ for (ll k = 0; k < 2; k++){ ans += dp2[i][i][j][k]; } } } mint ans_same = mint(n) * mint(n + 1) / mint(2); ans = ans_same + (ans - ans_same) / mint(2); cout << ans.val() << endl; }