#include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #ifdef LOCAL # include "debug_print.hpp" # define debug(...) debug_print::multi_print(#__VA_ARGS__, __VA_ARGS__) #else # define debug(...) (static_cast(0)) #endif using namespace std; #define rep1(a) for(int i = 0; i < a; i++) #define rep2(i, a) for(int i = 0; i < a; i++) #define rep3(i, a, b) for(int i = a; i < b; i++) #define rep4(i, a, b, c) for(int i = a; i < b; i += c) #define overload4(a, b, c, d, e, ...) e #define rep(...) overload4(__VA_ARGS__, rep4, rep3, rep2, rep1)(__VA_ARGS__) #define rrep1(a) for(int i = (a)-1; i >= 0; i--) #define rrep2(i, a) for(int i = (a)-1; i >= 0; i--) #define rrep3(i, a, b) for(int i = (b)-1; i >= a; i--) #define rrep4(i, a, b, c) for(int i = (b)-1; i >= a; i -= c) #define rrep(...) overload4(__VA_ARGS__, rrep4, rrep3, rrep2, rrep1)(__VA_ARGS__) #define ALL(v) v.begin(), v.end() #define RALL(v) v.rbegin(), v.rend() #define UNIQUE(v) v.erase( unique(v.begin(), v.end()), v.end() ); #define pb push_back using ll = long long; using D = double; using LD = long double; using P = pair; using vi = vector; using vl = vector; template using vc = vector; template using vvc = vector>; template using vvvc = vector>; template using vvvvc = vector>; template using vvvvvc = vector>; #define vv(type, name, h, ...) \ vector> name(h, vector(__VA_ARGS__)) #define vvv(type, name, h, w, ...) \ vector>> name( \ h, vector>(w, vector(__VA_ARGS__))) #define vvvv(type, name, a, b, c, ...) \ vector>>> name( \ a, vector>>( \ b, vector>(c, vector(__VA_ARGS__)))) template using PQ = priority_queue>; template using minPQ = priority_queue, greater>; templatebool chmax(T &a, const T &b) { if (abool chmin(T &a, const T &b) { if (b ostream &operator<<(ostream &os, const pair &p) { os << p.first << " " << p.second; return os; } template istream &operator>>(istream &is, pair &p) { is >> p.first >> p.second; return is; } template ostream &operator<<(ostream &os, const vector &v) { int s = (int)v.size(); for (int i = 0; i < s; i++) os << (i ? " " : "") << v[i]; return os; } template istream &operator>>(istream &is, vector &v) { for (auto &x : v) is >> x; return is; } void in() {} template void in(T &t, U &...u) { cin >> t; in(u...); } void out() { cout << "\n"; } template void out(const T &t, const U &...u) { cout << t; if (sizeof...(u)) cout << sep; out(u...); } void outr() {} template void outr(const T &t, const U &...u) { cout << t; outr(u...); } template struct Fp { long long val; constexpr Fp(long long v = 0) noexcept : val(v % mod) { if (val < 0) val += mod; } constexpr int getmod() { return mod; } constexpr Fp operator - () const noexcept { return val ? mod - val : 0; } constexpr Fp operator + (const Fp& r) const noexcept { return Fp(*this) += r; } constexpr Fp operator - (const Fp& r) const noexcept { return Fp(*this) -= r; } constexpr Fp operator * (const Fp& r) const noexcept { return Fp(*this) *= r; } constexpr Fp operator / (const Fp& r) const noexcept { return Fp(*this) /= r; } constexpr Fp& operator += (const Fp& r) noexcept { val += r.val; if (val >= mod) val -= mod; return *this; } constexpr Fp& operator -= (const Fp& r) noexcept { val -= r.val; if (val < 0) val += mod; return *this; } constexpr Fp& operator *= (const Fp& r) noexcept { val = val * r.val % mod; return *this; } constexpr Fp& operator /= (const Fp& r) noexcept { long long a = r.val, b = mod, u = 1, v = 0; while (b) { long long t = a / b; a -= t * b; swap(a, b); u -= t * v; swap(u, v); } val = val * u % mod; if (val < 0) val += mod; return *this; } constexpr bool operator == (const Fp& r) const noexcept { return this->val == r.val; } constexpr bool operator != (const Fp& r) const noexcept { return this->val != r.val; } friend constexpr istream& operator >> (istream &is, const Fp& x) noexcept { int val; is >> val; x = Fp(val); return is; } friend constexpr ostream& operator << (ostream &os, const Fp& x) noexcept { return os << x.val; } friend constexpr Fp modpow(const Fp &a, long long n) noexcept { if (n == 0) return 1; auto t = modpow(a, n / 2); t = t * t; if (n & 1) t = t * a; return t; } }; //const int mod = 1e9+7; const int mod = 998244353; using mint = Fp; int crt[3][5] = { {0,6,12,3,9}, {10,1,7,13,4}, {5,11,2,8,14} }; int main(){ ios_base::sync_with_stdio(false); cin.tie(nullptr); int m; in(m); vector v,l; ll maxlen = 0, digit_sum = 0; ll len = 0, cur = -1; mint n = 0; rep(i,m){ ll vi,li; in(vi, li); maxlen += li; digit_sum += vi*li; mint p = modpow(mint(10),li); n = n * p + (p-1)/9 * vi; if(vi == cur) len += li; else { if(len > 0) { v.emplace_back(cur); l.emplace_back(len); } cur = vi; len = li; } } if(len > 0) { v.emplace_back(cur); l.emplace_back(len); } if(maxlen == 1) { mint ans = 0; rep(i,1,v[0]+1) { if(i%3 == 0 or i%5 == 0) ans += 4; else ans += 1; } out(ans); return 0; } mint p = modpow(mint(10),maxlen-1); mint ans = p * (maxlen-1) - (p-1)/9; ans += (n+1 - p) * maxlen; ll mod3 = digit_sum % 3, mod5 = v.back() % 5; ll mod15 = crt[mod3][mod5]; ans += ((n-mod3)/3 + (n-mod5)/5) * 4; { mint tmp = 0; // 3,6,9,... mint n1 = n-mod3; bool ok = false; if (digit_sum <= 3) { if (digit_sum == 1) ok = true; if (v.front() == 1 and v.back() < 3) { ok |= digit_sum == v.front() + v.back(); } } ll maxlen1 = (ok ? maxlen-1 : maxlen); mint q = modpow(mint(10), maxlen1-1); tmp += (q*(maxlen1-1) - (q-1)/9) / 3; tmp += ((n1-q-2)/3+1) * maxlen1; ans -= tmp; // out(3, tmp); } { mint tmp = 0; // 5,10,15,... mint n1 = n-mod5; ll maxlen1 = maxlen; if(maxlen1 > 1) { mint q = modpow(mint(10), maxlen1-1); tmp += (q/5-1) * (maxlen1-1); if(maxlen1 > 2) tmp -= ((q/10-1)/9 - (maxlen1-2))*2; tmp += ((n1-q)/5+1) * maxlen1; tmp -= maxlen-2; } else{ tmp = 1; } ans -= tmp; // out(5, tmp); } { mint tmp = 0; // 15,30,45,... mint n1 = n-mod15; bool ok = false; if (digit_sum <= 5) { if (digit_sum == 1) ok = true; if (v.front() == 1 and v.back() < 5) { ok |= digit_sum == v.front() + v.back(); } } ll maxlen1 = (ok ? maxlen-1 : maxlen); if(maxlen1 > 1){ mint q = modpow(mint(10), maxlen1-1); tmp += ((q-10)/15) * (maxlen1-1); if(maxlen1 > 2) tmp -= ((q/10-1)/9 - (maxlen1-2))*2/3; tmp += ((n1-q-5)/15+1) * maxlen1; } else{ tmp = 0; } ans += tmp; // out(15, tmp); } out(ans); }