#include using namespace std; using int64 = long long; // const int mod = 1e9 + 7; const int mod = 998244353; const int64 infll = (1LL << 62) - 1; const int inf = (1 << 30) - 1; struct IoSetup { IoSetup() { cin.tie(nullptr); ios::sync_with_stdio(false); cout << fixed << setprecision(10); cerr << fixed << setprecision(10); } } iosetup; template< typename T1, typename T2 > ostream &operator<<(ostream &os, const pair< T1, T2 > &p) { os << p.first << " " << p.second; return os; } template< typename T1, typename T2 > istream &operator>>(istream &is, pair< T1, T2 > &p) { is >> p.first >> p.second; return is; } template< typename T > ostream &operator<<(ostream &os, const vector< T > &v) { for(int i = 0; i < (int) v.size(); i++) { os << v[i] << (i + 1 != v.size() ? " " : ""); } return os; } template< typename T > istream &operator>>(istream &is, vector< T > &v) { for(T &in : v) is >> in; return is; } template< typename T1, typename T2 > inline bool chmax(T1 &a, T2 b) { return a < b && (a = b, true); } template< typename T1, typename T2 > inline bool chmin(T1 &a, T2 b) { return a > b && (a = b, true); } template< typename T = int64 > vector< T > make_v(size_t a) { return vector< T >(a); } template< typename T, typename... Ts > auto make_v(size_t a, Ts... ts) { return vector< decltype(make_v< T >(ts...)) >(a, make_v< T >(ts...)); } template< typename T, typename V > typename enable_if< is_class< T >::value == 0 >::type fill_v(T &t, const V &v) { t = v; } template< typename T, typename V > typename enable_if< is_class< T >::value != 0 >::type fill_v(T &t, const V &v) { for(auto &e : t) fill_v(e, v); } template< typename F > struct FixPoint : F { FixPoint(F &&f) : F(forward< F >(f)) {} template< typename... Args > decltype(auto) operator()(Args &&... args) const { return F::operator()(*this, forward< Args >(args)...); } }; template< typename F > inline decltype(auto) MFP(F &&f) { return FixPoint< F >{forward< F >(f)}; } template< int mod > struct ModInt { int x; ModInt() : x(0) {} ModInt(int64_t y) : x(y >= 0 ? y % mod : (mod - (-y) % mod) % mod) {} ModInt &operator+=(const ModInt &p) { if((x += p.x) >= mod) x -= mod; return *this; } ModInt &operator-=(const ModInt &p) { if((x += mod - p.x) >= mod) x -= mod; return *this; } ModInt &operator*=(const ModInt &p) { x = (int) (1LL * x * p.x % mod); return *this; } ModInt &operator/=(const ModInt &p) { *this *= p.inverse(); return *this; } ModInt operator-() const { return ModInt(-x); } ModInt operator+(const ModInt &p) const { return ModInt(*this) += p; } ModInt operator-(const ModInt &p) const { return ModInt(*this) -= p; } ModInt operator*(const ModInt &p) const { return ModInt(*this) *= p; } ModInt operator/(const ModInt &p) const { return ModInt(*this) /= p; } bool operator==(const ModInt &p) const { return x == p.x; } bool operator!=(const ModInt &p) const { return x != p.x; } ModInt inverse() const { int a = x, b = mod, u = 1, v = 0, t; while(b > 0) { t = a / b; swap(a -= t * b, b); swap(u -= t * v, v); } return ModInt(u); } ModInt pow(int64_t n) const { ModInt ret(1), mul(x); while(n > 0) { if(n & 1) ret *= mul; mul *= mul; n >>= 1; } return ret; } friend ostream &operator<<(ostream &os, const ModInt &p) { return os << p.x; } friend istream &operator>>(istream &is, ModInt &a) { int64_t t; is >> t; a = ModInt< mod >(t); return (is); } static int get_mod() { return mod; } }; using modint = ModInt< mod >; /** * @brief Binary-Indexed-Tree(BIT) * @docs docs/binary-indexed-tree.md */ template< typename T > struct BinaryIndexedTree { private: vector< T > data; public: BinaryIndexedTree() = default; explicit BinaryIndexedTree(size_t sz) : data(sz + 1, 0) {} explicit BinaryIndexedTree(const vector< T > &vs) : data(vs.size() + 1, 0) { for(size_t i = 0; i < vs.size(); i++) data[i + 1] = vs[i]; for(size_t i = 1; i < data.size(); i++) { size_t j = i + (i & -i); if(j < data.size()) data[j] += data[i]; } } void add(int k, const T &x) { for(++k; k < (int) data.size(); k += k & -k) data[k] += x; } T fold(int r) const { T ret = T(); for(; r > 0; r -= r & -r) ret += data[r]; return ret; } T fold(int l, int r) const { return fold(r) - fold(l); } int lower_bound(T x) const { int i = 0; for(int k = 1 << (__lg(data.size() - 1) + 1); k > 0; k >>= 1) { if(i + k < data.size() && data[i + k] < x) { x -= data[i + k]; i += k; } } return i; } int upper_bound(T x) const { int i = 0; for(int k = 1 << (__lg(data.size() - 1) + 1); k > 0; k >>= 1) { if(i + k < data.size() && data[i + k] <= x) { x -= data[i + k]; i += k; } } return i; } }; int main() { int N; cin >> N; vector< pair< int, int > > d(N); cin >> d; sort(begin(d), end(d)); vector< int > X(N), Y(N); for(int i = 0; i < N; i++) { tie(X[i], Y[i]) = d[i]; } auto calc_diff = [](const vector< int > &f, const vector< int > &g) { vector< int > gs{g}; sort(begin(gs), end(gs)); gs.erase(unique(begin(gs), end(gs)), end(gs)); int M = (int) gs.size(); int N = (int) f.size(); vector< int > z(N); for(int i = 0; i < N; i++) { z[i] = lower_bound(begin(gs), end(gs), g[i]) - begin(gs); } BinaryIndexedTree< modint > bit1(M), bit2(M), bit3(M), bit4(M); for(int i = 0; i < N; i++) { bit1.add(z[i], modint(f[i]) * g[i]); bit2.add(z[i], 1); bit3.add(z[i], f[i]); bit4.add(z[i], g[i]); } modint ret = 0; for(int i = 0; i < N; i++) { bit1.add(z[i], -modint(f[i]) * g[i]); bit2.add(z[i], -1); bit3.add(z[i], -f[i]); bit4.add(z[i], -g[i]); // g[i]g[j] { ret -= bit1.fold(0, z[i]); ret -= bit2.fold(0, z[i]) * f[i] * g[i]; ret += modint(g[i]) * bit3.fold(0, z[i]); ret += modint(f[i]) * bit4.fold(0, z[i]); } } return ret; }; auto calc_sq = [](const vector< int > &f) { int N = (int) f.size(); modint ret = 0; modint all = 0; for(int i = 0; i < N; i++) { all += f[i]; ret += modint(f[i]) * f[i] * (N - 1); } for(int i = 0; i < N; i++) { all -= f[i]; ret -= all * f[i] * 2; } return ret; }; modint ret = 0; ret += calc_sq(X); ret += calc_sq(Y); ret += calc_diff(X, Y) * 2; cout << ret << "\n"; }