#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; } } // 「i ビット目が立っていることと j ビット目が立っていることは同値か」という情報を持たせる // 450 ビットぶんにしないと TLE する? → それでも間に合わないのマジ??? struct S{ ll val; bitset<450> bs; }; S op(S a, S b){ return S{a.val | b.val, a.bs & b.bs}; } S e(){ bitset<450> bs_1; bs_1.set(); return S{0, bs_1}; } int main() { ll N, Q; cin >> N >> Q; vector A(N); rep(i, N){ cin >> A[i]; } segtree seg(N); rep(i, N){ bitset<450> bs; bs.set(); ll now_cnt = 0; for (ll j = 0; j < 30; j++){ for (ll k = j + 1; k < 30; k++){ ll on_j = ((A[i] >> j) & 1); ll on_k = ((A[i] >> k) & 1); if (on_j != on_k){ bs.set(now_cnt, 0); } now_cnt++; } } seg.set(i, S{A[i], bs}); } vector pow_2(N + 1); pow_2[0] = mint(1); for (ll i = 0; i < N; i++){ pow_2[i + 1] = pow_2[i] * mint(2); } for (ll i = 0; i < Q; i++){ ll type; cin >> type; if (type == 1){ ll p, x; cin >> p >> x; p--; ll now_cnt = 0; bitset<450> bs; bs.set(); for (ll j = 0; j < 30; j++){ for (ll k = j + 1; k < 30; k++){ ll on_j = ((x >> j) & 1); ll on_k = ((x >> k) & 1); if (on_j != on_k){ bs.set(now_cnt, 0); } now_cnt++; } } seg.set(p, S{x, bs}); } else{ ll L, R; cin >> L >> R; L--; R--; ll len = R - L + 1; mint ans = mint(0); S pr = seg.prod(L, R + 1); ll val = pr.val; bitset<450> bs = pr.bs; for (ll j = 0; j < 30; j++){ if ((val >> j) & 1){ // ans += pow_m2[j] * pow_m2[j] * pow_len; } } ll now_cnt = 0; for (ll j = 0; j < 30; j++){ for (ll k = j + 1; k < 30; k++){ if ((val >> j) & 1){ if ((val >> k) & 1){ if (bs[now_cnt]){ // ans += pow_m2[1] * pow_m2[j] * pow_m2[k] * pow_len; } else{ // ans += pow_m2[1] * pow_m2[j] * pow_m2[k] * pow_len_2; } } } now_cnt++; } } cout << ans.val() << endl; } } }