#include using namespace std; using ll = long long; using ld = long double; template using V = vector; using VI = V; using VL = V; using VS = V; template using PQ = priority_queue, greater>; using graph = V; template using w_graph = V>>; #define FOR(i,a,n) for(int i=(a);i<(n);++i) #define eFOR(i,a,n) for(int i=(a);i<=(n);++i) #define rFOR(i,a,n) for(int i=(n)-1;i>=(a);--i) #define erFOR(i,a,n) for(int i=(n);i>=(a);--i) #define all(a) a.begin(),a.end() #define rall(a) a.rbegin(),a.rend() #define inside(h,w,y,x) (unsigned(y) inline bool chmax(T& a, const T& b) { if (a < b) { a = b; return true; }return false; } template inline bool chmin(T& a, const T& b) { if (a > b) { a = b; return true; }return false; } inline void init() { cin.tie(nullptr); cout.tie(nullptr); ios::sync_with_stdio(false); cout << fixed << setprecision(15); } template inline istream& operator>>(istream& is, V& v) { for (auto& a : v)is >> a; return is; } template inline istream& operator>>(istream& is, pair& p) { is >> p.first >> p.second; return is; } template inline V vec(size_t a) { return V(a); } template inline V defvec(T def, size_t a) { return V(a, def); } template inline auto vec(size_t a, Ts... ts) { return V(ts...))>(a, vec(ts...)); } template inline auto defvec(T def, size_t a, Ts... ts) { return V(def, ts...))>(a, defvec(def, ts...)); } template inline void print(const T& a) { cout << a << "\n"; } template inline void print(const T& a, const Ts&... ts) { cout << a << " "; print(ts...); } template inline void print(const V& v) { for (int i = 0; i < v.size(); ++i)cout << v[i] << (i == v.size() - 1 ? "\n" : " "); } template inline void print(const V>& v) { for (auto& a : v)print(a); } template inline constexpr const T cumsum(const V& a, int l, int r) { return 0 <= l && l <= r && r < a.size() ? a[r] - (l == 0 ? 0 : a[l - 1]) : 0; }//[l,r] template inline constexpr const T min(const V& v) { return *min_element(all(v)); } template inline constexpr const T max(const V& v) { return *max_element(all(v)); } template inline V& operator++(V& v) { for (T& a : v)++a; return v; } template inline V& operator--(V& v) { for (T& a : v)--a; return v; } template class SegmentTree { using T = typename Op::T; int len, n; vector dat; public: SegmentTree(const int _n) : n(_n) { for (len = 1; len < n; len <<= 1); dat.resize(len << 1, Op::unit); } SegmentTree(const vector& v) : n(v.size()) { for (len = 1; len < n; len <<= 1); dat.resize(len << 1, Op::unit); for (int i = 0; i < n; ++i)dat[i + len] = v[i]; for (int i = len - 1; 0 < i; --i) dat[i] = Op::merge(dat[i << 1], dat[i << 1 | 1]); } inline void update(int idx, const T a) { idx += len; dat[idx] = Op::update(dat[idx], a); for (idx >>= 1; 0 < idx; idx >>= 1) dat[idx] = Op::merge(dat[idx << 1], dat[idx << 1 | 1]); } inline T value(int l, int r) { T vl = Op::unit, vr = Op::unit; for (l += len, r += len; l < r; l >>= 1, r >>= 1) { if (l & 1)vl = Op::merge(vl, dat[l++]); if (r & 1)vr = Op::merge(dat[--r], vr); } return Op::merge(vl, vr); } inline T operator[](int idx) { return dat[idx + len]; } }; template struct node { using T = Type; inline static T unit = INF; inline static T merge(T vl, T vr) { return min(vl, vr); } inline static T update(T vl, T vr) { return min(vl, vr); } }; template class compress { vector xs; public: compress() {} compress(const vector& vs) { add(vs); } inline void add(const vector& vs) { copy(all(vs), back_inserter(xs)); } inline void add(const T& x) { xs.emplace_back(x); } inline void build() { sort(all(xs)); xs.erase(unique(all(xs)), xs.end()); } inline int idx(const T& x) const { return lower_bound(all(xs), x) - xs.begin(); } inline T operator[](int k) const { return xs[k]; } inline int size() const { return xs.size(); } }; #include using mint = atcoder::modint998244353; int main() { init(); int n; cin >> n; VI a(n), b(n); cin >> a >> b; //a[j] - a[i] <= abs(b[i] - b[j]); //a[j] - a[i] <= b[i] - b[j] || a[j] - a[i] <= b[j] - b[i]; //a[j] + b[j] <= b[i] + a[i] || a[j] - b[j] <= a[i] - b[i]; ll ans = 0; compress cp, cm; FOR(i, 0, n) { cp.add(a[i] + b[i]); cm.add(a[i] - b[i]); } cp.build(), cm.build(); SegmentTree> p(cp.size()), m(cm.size()); int r = n; rFOR(i, 0, n) { chmin(r, p.value(0, cp.idx(a[i] + b[i]) + 1)); chmin(r, m.value(0, cm.idx(a[i] - b[i]) + 1)); p.update(cp.idx(a[i] + b[i]), i); m.update(cm.idx(a[i] - b[i]), i); ans += r - i - 1; } print(ans); return 0; }