/** * @FileName a.cpp * @Author kanpurin * @Created 2022.04.30 01:51:47 **/ #include "bits/stdc++.h" using namespace std; typedef long long ll; template< typename Monoid > struct DynamicSegmentTree { private: struct Node; using Func = function; using node_ptr = unique_ptr; Func F; Monoid e; size_t n; struct Node { size_t index; Monoid value,prod; node_ptr left, right; Node(size_t index, Monoid value) : index(index), value(value), prod(value), left(nullptr), right(nullptr) {} }; void node_update(node_ptr &np) const { np->prod = F(F(np->left?np->left->prod:e,np->value), np->right?np->right->prod:e); } void _update(node_ptr& t, size_t a, size_t b, size_t p, Monoid &val) const { if (!t) { t = make_unique(p, val); return; } if (t->index == p) { t->value = val; node_update(t); return; } size_t c = (a+b)/2; if (p < c) { if (t->index < p) swap(t->index,p), swap(t->value,val); _update(t->left,a,c,p,val); } else { if (p < t->index) swap(p,t->index), swap(val,t->value); _update(t->right,c,b,p,val); } node_update(t); } Monoid _get(const node_ptr& t, size_t a, size_t b, size_t l, size_t r) const { if (!t || b <= l || r <= a) return e; if (l <= a && b <= r) return t->prod; size_t c = (a + b) / 2; Monoid result = _get(t->left, a, c, l, r); if (l <= t->index && t->index < r) result = F(result, t->value); return F(result, _get(t->right, c, b, l, r)); } size_t _binary_search(const node_ptr& t, size_t a, size_t b, const function &f, Monoid &s, size_t l, size_t r) { if (!t || r <= a || b <= l) return n; if (a <= l && r <= b && !f(F(s,t->prod))) { s = F(s,t->prod); return n; } size_t ret = _binary_search(t->left,a,b,f,s,l,(r-l)/2+l); if (ret != n) return ret; if (a <= t->index) { s = F(s,t->value); if (f(s)) return t->index; } return _binary_search(t->right,a,b,f,s,(r-l)/2+l,r); } void _print(node_ptr& t) { if (!t) return; _print(t->left); _print(t->right); cout << "[" << t->index << "] : " << t->value << endl; } node_ptr root; public: DynamicSegmentTree(size_t n, const Func f, const Monoid &e) : n(n),F(f),e(e),root(nullptr) {} void update_query(size_t x, Monoid val) { assert(x < n); _update(root, 0, n, x, val); } Monoid get_query(size_t l, size_t r) const { assert(l <= r && r <= n); return _get(root, 0, n, l, r); } size_t binary_search(size_t l, size_t r, const function &f) { Monoid s = e; size_t ret = _binary_search(root,l,r,f,s,0,n); return ret != n ? ret : -1; } Monoid operator[](int x) const { return get_query(x,x+1); } size_t size() { return n; } void print() { _print(root); } }; template< int MOD > struct mint { public: unsigned int x; mint() : x(0) {} mint(long long v) { long long w = (long long)(v % (long long)(MOD)); if (w < 0) w += MOD; x = (unsigned int)(w); } mint(std::string &s) { unsigned int z = 0; for (int i = 0; i < s.size(); i++) { z *= 10; z += s[i] - '0'; z %= MOD; } x = z; } mint operator+() const { return *this; } mint operator-() const { return mint() - *this; } mint& operator+=(const mint &a) { if ((x += a.x) >= MOD) x -= MOD; return *this; } mint& operator-=(const mint &a) { if ((x -= a.x) >= MOD) x += MOD; return *this; } mint& operator*=(const mint &a) { unsigned long long z = x; z *= a.x; x = (unsigned int)(z % MOD); return *this; } mint& operator/=(const mint &a) {return *this = *this * a.inv(); } friend mint operator+(const mint& lhs, const mint& rhs) { return mint(lhs) += rhs; } friend mint operator-(const mint& lhs, const mint& rhs) { return mint(lhs) -= rhs; } friend mint operator*(const mint& lhs, const mint& rhs) { return mint(lhs) *= rhs; } friend mint operator/(const mint& lhs, const mint& rhs) { return mint(lhs) /= rhs; } friend bool operator==(const mint& lhs, const mint& rhs) { return lhs.x == rhs.x; } friend bool operator!=(const mint& lhs, const mint& rhs) { return lhs.x != rhs.x; } friend std::ostream& operator<<(std::ostream &os, const mint &n) { return os << n.x; } friend std::istream &operator>>(std::istream &is, mint &n) { unsigned int x; is >> x; n = mint(x); return is; } mint inv() const { assert(x); return pow(MOD-2); } mint pow(long long n) const { assert(0 <= n); mint p = *this, r = 1; while (n) { if (n & 1) r *= p; p *= p; n >>= 1; } return r; } mint sqrt() const { if (this->x < 2) return *this; if (this->pow((MOD-1)>>1).x != 1) return mint(0); mint b = 1, one = 1; while (b.pow((MOD-1) >> 1) == 1) b += one; long long m = MOD-1, e = 0; while (m % 2 == 0) m >>= 1, e += 1; mint x = this->pow((m - 1) >> 1); mint y = (*this) * x * x; x *= (*this); mint z = b.pow(m); while (y.x != 1) { int j = 0; mint t = y; while (t != one) j += 1, t *= t; z = z.pow(1LL << (e-j-1)); x *= z; z *= z; y *= z; e = j; } return x; } }; constexpr int MOD = 1e9 + 7; int main() { int n;cin >> n; vector a(n),b(n); vector> c1(n),c2(n); for (int i = 0; i < n; i++) { cin >> a[i]; } for (int i = 0; i < n; i++) { cin >> b[i]; c1[i] = {a[i]-b[i]+1000000000,-a[i]-b[i]}; c2[i] = {a[i]+b[i],a[i]-b[i]-1000000000}; } sort(c1.begin(), c1.end()); sort(c2.begin(), c2.end()); DynamicSegmentTree cnt1(2000000000,[](ll a,ll b){return a+b;},0),sum1(2000000000,[](ll a,ll b){return a+b;},0); DynamicSegmentTree cnt2(2000000000,[](ll a,ll b){return a+b;},0),sum2(2000000000,[](ll a,ll b){return a+b;},0); mint ans_a = 0, ans_b = 0; for (int i = 0; i < n; i++) { int v1 = (c1[i].first-1000000000-c1[i].second)/2; ans_a += cnt1.get_query(0,-c1[i].second)*v1-sum1.get_query(0,-c1[i].second); cnt1.update_query(-c1[i].second,cnt1[-c1[i].second]+1); sum1.update_query(-c1[i].second,sum1[-c1[i].second]+v1); } for (int i = 0; i < n; i++) { int v2 = (c2[i].first-c2[i].second-1000000000)/2; ans_b += cnt2.get_query(0,-c2[i].second)*v2-sum2.get_query(0,-c2[i].second); cnt2.update_query(-c2[i].second,cnt2[-c2[i].second]+1); sum2.update_query(-c2[i].second,sum2[-c2[i].second]+v2); } cout << ans_a*2 << " " << ans_b*2 << endl; return 0; }