#include #include #include using namespace std; using ll = long long; #define rep(i,a) for (ll i = 0; i < (a); i++) #define rrep(i,a) for (ll i = (a)-1; i >= 0; i--) #include "atcoder/modint.hpp" using mint = atcoder::modint998244353; template void fwht(vector &v, bool inv = false) { const int n = int(v.size()); assert((n & (n-1)) == 0); for (int i = 1; i < n; i <<= 1) { for (int j = 0; j < n; j += i << 1) { for (int k = 0; k < i; k++) { T s = v[j+k], t = v[j+k+i]; v[j+k] = s+t; v[j+k+i] = s-t; } } } if (inv) { // T inv_n = T(1) / n; // for (auto& x : v) x *= inv_n; for (auto &x : v) x /= n; } } template vector bitwise_xor_convolution(vector f, vector g) { assert(f.size() == g.size()); const int n = int(f.size()); assert((n & (n-1)) == 0); fwht(f,false); fwht(g,false); for(int i = 0; i < n; i++) f[i] *= g[i]; fwht(f, true); return f; } constexpr int B = 18; constexpr int M = 1<> n; vector a(n); rep(i,n) cin >> a[i]; vector f(M); rep(i,n) f[a[i]]++; vector ff = bitwise_xor_convolution(f,f); mint ans_sum = 0; rep(x,M) ans_sum += mint(x)*ff[x] * (n-2)*(n-3)*2; vector sum_f(M+1), sum_fi(M+1); rep(i,M) sum_f[i+1] += sum_f[i] + ff[i]; rep(i,M) sum_fi[i+1] += sum_fi[i] + ff[i] * i; mint ans_min = 0; rep(x,M) { ans_min += mint(ff[x]) * (x*(sum_f[M] - sum_f[x]) + sum_fi[x]); ans_min += ff[x]*x*2; } ll ax[B][2][B][2] = {{{{0}}}}; rep(i,n)rep(j,B)rep(k,B) ax[j][a[i]>>j&1][k][a[i]>>k&1]++; int ay[M*2][B][2] = {{{0}}}; //vector>> ay(M*2, vector> (B, vector(2))); rep(i,n)rep(j,B) ay[M+a[i]][j][a[i]>>j&1]++; ll b[B][2] = {{0}}; rep(i,M)rep(j,B) b[j][i>>j&1] += f[i]*f[i]; rrep(s,M){ if(s == 0) continue; rep(i,B)rep(j,2) ay[s][i][j] += ay[s*2][i][j] + ay[s*2+1][i][j]; int d = B - (32 - __builtin_clz(s)); mint s0 = ay[s*2][0][0] + ay[s*2][0][1]; mint s1 = ay[s*2+1][0][0] + ay[s*2+1][0][1]; rep(i,B){ mint cnt = ax[d][1][i][0] * ay[s*2+1][i][1] + ax[d][1][i][1] * ay[s*2+1][i][0]; ans_min -= 4 * 2 * s0 * cnt * (1<>j&1)]) * (1<