/* -*- coding: utf-8 -*- * * 2075.cc: No.2075 GCD Subsequence - yukicoder */ #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include using namespace std; /* constant */ const int MAX_N = 200000; const int MAX_A = 1000000; const int INF = 1 << 30; const int MOD = 998244353; /* typedef */ typedef vector vi; typedef set si; template struct MI { int v; MI(): v() {} MI(int _v): v(_v % MOD) {} MI(long long _v): v(_v % MOD) {} MI operator+(const MI m) const { return MI(v + m.v); } MI operator-(const MI m) const { return MI(v + MOD - m.v); } MI operator*(const MI m) const { return MI((long long)v * m.v); } MI &operator+=(const MI m) { return (*this = *this + m); } MI &operator-=(const MI m) { return (*this = *this - m); } MI &operator*=(const MI m) { return (*this = *this * m); } MI pow(int n) const { // a^n % MOD MI pm = 1, a = *this; while (n > 0) { if (n & 1) pm *= a; a *= a; n >>= 1; } return pm; } MI inv() const { return pow(MOD - 2); } MI operator/(const MI m) const { return *this * m.inv(); } MI &operator/=(const MI m) { return (*this = *this / m); } }; typedef MI mi; typedef pair pimi; typedef map mipimi; /* global variables */ int pdivs[MAX_A + 1], as[MAX_N]; mi dp[MAX_N]; /* subroutines */ int gen_primes(int maxp, vi &pnums) { pdivs[0] = 0, pdivs[1] = 1; int p; for (p = 2; p * p <= maxp; p++) if (! pdivs[p]) { pnums.push_back(p); pdivs[p] = p; for (int q = p * p; q <= maxp; q += p) if (! pdivs[q]) pdivs[q] = p; } for (; p <= maxp; p++) if (! pdivs[p]) pnums.push_back(p), pdivs[p] = p; return (int)pnums.size(); } void prime_decomp(int n, vi &pds) { pds.clear(); while (n > 1) { int p = pdivs[n]; pds.push_back(p); while (n % p == 0) n /= p; } } /* main */ int main() { vi pnums; int pn = gen_primes(MAX_A, pnums); //printf("pn=%d\n", pn); int n; scanf("%d", &n); for (int i = 0; i < n; i++) scanf("%d", as + i); mipimi las; mi sum = 0; for (int i = 0; i < n; i++) { vi pds; prime_decomp(as[i], pds); //printf("as[%d]=%d:", i, as[i]); //for (auto p: pds) printf(" %d", p); putchar('\n'); dp[i] = 1; si prvs; for (auto p: pds) { mipimi::iterator mit = las.find(p); if (mit != las.end()) { int la = mit->second.first; if (prvs.find(la) == prvs.end()) { dp[i] += mit->second.second; prvs.insert(la); } } } for (auto p: pds) { mipimi::iterator mit = las.find(p); if (mit != las.end()) mit->second = pimi(i, mit->second.second + dp[i]); else las[p] = pimi(i, dp[i]); } sum += dp[i]; } printf("%d\n", sum.v); return 0; }