#include using namespace std; const long long MOD = 998244353; long long modpow(long long a, long long b){ long long ans = 1; while (b > 0){ if (b % 2 == 1){ ans *= a; ans %= MOD; } a *= a; a %= MOD; b /= 2; } return ans; } long long modinv(long long a){ return modpow(a, MOD - 2); } vector ntt(vector A, bool inv){ int N = A.size(); long long r = 3; if (inv){ r = modinv(r); } vector B(N); for (int i = N / 2; i > 0; i /= 2){ long long z = modpow(r, (MOD - 1) / (N / i)); long long z2 = 1; for (int j = 0; j < N; j += i * 2){ for (int k = 0; k < i; k++){ A[i + j + k] *= z2; A[i + j + k] %= MOD; B[j / 2 + k] = (A[j + k] + A[i + j + k]) % MOD; B[N / 2 + j / 2 + k] = (A[j + k] - A[i + j + k] + MOD) % MOD; } z2 = z2 * z % MOD; } swap(A, B); } if (inv){ int Ninv = modinv(N); for (int i = 0; i < N; i++){ A[i] = A[i] * Ninv % MOD; } } return A; } vector convolution(vector A, vector B, int d = -1){ int deg = A.size() + B.size() - 1; int N = 1; while (N < deg){ N *= 2; } A.resize(N); B.resize(N); A = ntt(A, false); B = ntt(B, false); vector ans(N); for (int i = 0; i < N; i++){ ans[i] = A[i] * B[i] % MOD; } ans = ntt(ans, true); if (d != -1){ deg = d; } ans.resize(deg); return ans; } vector diff(vector A){ int N = A.size(); vector B(N - 1); for (int i = 1; i < N; i++){ B[i - 1] = A[i] * i % MOD; } return B; } vector polynomial_inverse(vector f){ int N = f.size(); vector ans(1); ans[0] = modinv(f[0]); for (int i = 1; i < N * 2; i *= 2){ vector ans2 = ans; ans2.resize(i * 4); int N2 = min(N, i * 2); vector f2(i * 4, 0); for (int j = 0; j < N2; j++){ f2[j] = f[j]; } ans2 = convolution(ans2, ans2, i * 2); ans2 = convolution(ans2, f2, i * 2); for (int j = 0; j < i; j++){ ans2[j] = MOD - ans2[j] + ans[j] * 2; ans2[j] %= MOD; } swap(ans, ans2); } ans.resize(N); return ans; } vector polynomial_quotient(vector f, vector g){ int N = f.size(), M = g.size(); if (N < M){ return {0}; } reverse(g.begin(), g.end()); g.resize(N - M + 1); vector t = polynomial_inverse(g); reverse(f.begin(), f.end()); vector q = convolution(f, t, N - M + 1); reverse(q.begin(), q.end()); return q; } vector polynomial_remainder(vector f, vector g){ int N = f.size(); int M = g.size(); if (M <= 1200){ for (int i = N - M; i >= 0; i--){ long long q = f[i + M - 1] * modinv(g[M - 1]) % MOD; for (int j = 0; j < M; j++){ f[i + j] += MOD - q * g[j] % MOD; f[i + j] %= MOD; } f.pop_back(); } return f; } else { vector q = polynomial_quotient(f, g); vector b = convolution(g, q); for (int i = 0; i < N; i++){ f[i] += MOD - b[i]; f[i] %= MOD; } f.resize(M - 1); return f; } } vector multipoint_evaluation(vector &f, vector x){ int M = x.size(); int M2 = 1; while (M2 < M){ M2 *= 2; } vector> g(M2 * 2 - 1, {1}); for (int i = 0; i < M; i++){ g[M2 - 1 + i] = vector{MOD - x[i], 1}; } for (int i = M2 - 2; i >= 0; i--){ g[i] = convolution(g[i * 2 + 1], g[i * 2 + 2]); } g[0] = polynomial_remainder(f, g[0]); for (int i = 1; i < M2 * 2 - 1; i++){ g[i] = polynomial_remainder(g[(i - 1) / 2], g[i]); } vector ans(M); for (int i = 0; i < M; i++){ ans[i] = g[M2 - 1 + i][0]; } return ans; } long long polynomial_interpolation(vector x, vector y, long long a){ int N = x.size(); queue> Q; for (int i = 0; i < N; i++){ Q.push(vector{MOD - x[i], 1}); } while (Q.size() >= 2){ vector f = Q.front(); Q.pop(); vector g = Q.front(); Q.pop(); Q.push(convolution(f, g)); } vector lp = diff(Q.front()); vector w = multipoint_evaluation(lp, x); long long P = 1; for (int i = 0; i < N; i++){ P *= MOD + a - x[i]; P %= MOD; } long long ans = 0; for (int i = 0; i < N; i++){ long long tmp = P; tmp *= modinv(MOD + a - x[i]); tmp %= MOD; tmp *= modinv(w[i]); tmp %= MOD; ans += tmp * y[i] % MOD; } ans %= MOD; return ans; } int main(){ int N, X; cin >> N >> X; vector x(N), y(N); for (int i = 0; i < N; i++){ cin >> x[i] >> y[i]; } int p = -1; for (int i = 0; i < N; i++){ if (x[i] == X){ p = i; } } if (p != -1){ vector x2, y2; for (int i = 0; i < N; i++){ if (i != p){ x2.push_back(x[i]); y2.push_back(y[i]); } } long long ans = polynomial_interpolation(x2, y2, X); ans += (long long) (N - 1) * y[p]; ans %= MOD; cout << ans << endl; } else { vector P(N, 1), S(N, 0); for (int i = 0; i < N; i++){ for (int j = 0; j < N; j++){ if (i != j){ P[i] *= modinv(x[i] - x[j] + MOD); P[i] %= MOD; S[i] += (x[i] - x[j] + MOD) * modinv(X - x[j] + MOD); S[i] %= MOD; } } } long long ans = 0; for (int i = 0; i < N; i++){ ans += y[i] * modinv(X - x[i] + MOD) % MOD * P[i] % MOD * S[i] % MOD; } ans %= MOD; for (int i = 0; i < N; i++){ ans *= X - x[i] + MOD; ans %= MOD; } cout << ans << endl; } }