#include #include #include #include #include #include #include #include #include #include #include #include #include #include using namespace std; using ll = long long; class range {private: struct I{int x;int operator*(){return x;}bool operator!=(I& lhs){return x ostream& operator<<(ostream& os, const pair& p){ return os << "{" << p.first << ", " << p.second << "}"; } template ostream& operator<<(ostream& os, const vector& obj) { os << "{"; for (const auto& e : obj) os << e << ", "; return os << "}"; } template ostream& operator<<(ostream& os, const set& obj) { os << "set{"; for (const auto& e : obj) os << e << ", "; return os << "}"; } template ostream& operator<<(ostream& os, const map& obj) { os << "map{"; for (const auto& e : obj) os << e << ", "; return os << "}"; } #ifdef ONLINE_JUDGE #define dump(expr) ; #else #define dump(expr) { cerr << "\033[33m#L" << __LINE__ << ": " << expr << "\033[39m" << endl; } #endif const ll mod = 998244353; struct mint { ll x; mint(ll x_ = 0) : x((x_ % mod + mod) % mod) {} mint operator-() const { return mint(-x); } mint &operator+=(const mint &a) { if ((x += a.x) >= mod) x -= mod; return *this; } mint &operator-=(const mint &a) { if ((x += mod - a.x) >= mod) x -= mod; return *this; } mint &operator*=(const mint &a) { (x *= a.x) %= mod; return *this; } mint operator+(const mint &a) const { mint res(*this); return res += a; } mint operator-(const mint &a) const { mint res(*this); return res -= a; } mint operator*(const mint &a) const { mint res(*this); return res *= a; } mint pow(ll t) const { if (!t) return 1; mint a = pow(t >> 1); a *= a; if (t & 1) a *= *this; return a; } mint inv() const { return pow(mod - 2); } mint &operator/=(const mint &a) { return (*this) *= a.inv(); } mint operator/(const mint &a) const { mint res(*this); return res /= a; } friend ostream &operator<<(ostream &os, const mint &m) { os << m.x; return os; } friend istream &operator>>(istream &is, mint &m) { is >> m.x; return is; } }; namespace solver { int n; mint x0; vector xs, ys; void read() { cin >> n >> x0; xs.resize(n); ys.resize(n); for (int i : range(n)) cin >> xs[i] >> ys[i]; } mint f2(int i, int j, mint x) { mint ret = 1; for (int k : range(n)) if (k != i && k != j) ret *= x - xs[k]; return ret; } void naive() { { mint tot = 0; for (int j : range(n)) for (int i : range(n)) if (j != i) { tot += ys[j] * f2(i, j, x0) / f2(i, j, xs[j]); } dump(tot); } { mint tot = 0; for (int j : range(n)) { for (int i : range(n)) if (j != i) { tot += ys[j] * f2(j, j, x0) / (x0 - xs[i]) / f2(i, j, xs[j]); } } dump(tot); } { mint tot = 0; for (int j : range(n)) { for (int i : range(n)) if (j != i) { tot += ys[j] * f2(j, j, x0) * (xs[j] - xs[i]) / (x0 - xs[i]) / f2(j, j, xs[j]); } } dump(tot); } } mint f(int i, mint x) { mint ret = 1; for (int j : range(n)) if (j != i) ret *= x - xs[j]; return ret; } ll run() { for (int p : range(n)) if (xs[p].x == x0.x) { mint ret = 0; for (int i : range(n)) if (i != p) ret += ys[p]; for (int i : range(n)) if (i != p) ret += ys[i] * f2(i, p, x0) / f2(i, p, xs[i]); return ret.x; } vector fs(n), fs0(n); for (int j : range(n)) { fs[j] = f(j, xs[j]); fs0[j] = f(j, x0); } mint ret = 0; dump(fs); for (int j : range(n)) { mint tot = 0; for (int i : range(n)) if (i != j) tot += (xs[j] - xs[i]) / (x0 - xs[i]); ret += ys[j] * fs0[j] / fs[j] * tot; } return ret.x; } } int main(int argc, char** argv) { cout << fixed << setprecision(12); int testcase = 1; if (argc > 1) testcase = atoi(argv[1]); while (testcase--) { solver::read(); } // solver::naive(); cout << solver::run() << endl; }