#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; vector A(N); for (ll i = 0; i < N; i++){ cin >> A[i]; } // dp の遷移を工夫する? vector isprime(1000002, true); isprime[1] = false; for (ll i = 2; i <= 1000000; i++){ if (isprime[i]){ for (ll j = 2; j * i <= 1000000; j++){ isprime[j * i] = false; } } } vector> primes(1000001, vector(0)); for (ll i = 2; i <= 1000000; i++){ if (isprime[i]){ for (ll j = 1; j * i <= 1000000; j++){ primes[j * i].push_back(i); } } } vector dp(1000001, mint(0)); mint ans = mint(0); for (ll i = 0; i < N; i++){ mint dpsub = mint(1); ll len = primes[A[i]].size(); for (ll j = 1; j < (1 << len); j++){ ll popcnt = 0; ll prod = 1; for (ll k = 0; k < len; k++){ if ((j >> k) & 1){ popcnt++; prod *= primes[A[i]][k]; } } if (popcnt % 2 == 1){ dpsub += dp[prod]; } else{ dpsub -= dp[prod]; } } // debug_out(i, dpsub.val()); ans += dpsub.val(); for (ll j = 1; j < (1 << len); j++){ ll popcnt = 0; ll prod = 1; for (ll k = 0; k < len; k++){ if ((j >> k) & 1){ popcnt++; prod *= primes[A[i]][k]; } } dp[prod] += dpsub; } } cout << ans.val() << endl; }