class SegTree: """ init(init_val, ide_ele): 配列init_valで初期化 O(N) update(k, x): k番目の値をxに更新 O(logN) query(l, r): 区間[l, r)をsegfuncしたものを返す O(logN) """ def __init__(self, init_val, segfunc, ide_ele): """ init_val: 配列の初期値 segfunc: 区間にしたい操作 ide_ele: 単位元 n: 要素数 num: n以上の最小の2のべき乗 tree: セグメント木(1-index) """ n = len(init_val) self.segfunc = segfunc self.ide_ele = ide_ele self.num = 1 << (n - 1).bit_length() self.tree = [ide_ele] * 2 * self.num # 配列の値を葉にセット for i in range(n): self.tree[self.num + i] = init_val[i] # 構築していく for i in range(self.num - 1, 0, -1): self.tree[i] = self.segfunc(self.tree[2 * i], self.tree[2 * i + 1]) def update(self, k, x): """ k番目の値をxに更新 k: index(0-index) x: update value """ k += self.num self.tree[k] = x while k > 1: self.tree[k >> 1] = self.segfunc(self.tree[k], self.tree[k ^ 1]) k >>= 1 def query(self, l, r): """ [l, r)のsegfuncしたものを得る l: index(0-index) r: index(0-index) """ res = self.ide_ele l += self.num r += self.num while l < r: if l & 1: res = self.segfunc(res, self.tree[l]) l += 1 if r & 1: res = self.segfunc(res, self.tree[r - 1]) l >>= 1 r >>= 1 return res def value(self,index): return self.query(index,index+1) from collections import defaultdict N = int(input()) A = list(map(int,input().split())) B = list(map(int,input().split())) dis = [] plus = [] for i in range(N): dis.append(A[i] -B[i]) plus.append(B[i] + A[i]) dis = list(set(dis)) plus = list(set(plus)) dis.sort() plus.sort() disindex= defaultdict(int) plusindex = defaultdict(int) segdis = SegTree([-1] * len(dis),lambda x,y:max(x,y),-1) segplus = SegTree([-1] * len(plus),lambda x,y:max(x,y),-1) for i,v in enumerate(dis): disindex[v] = i for i,v in enumerate(plus): plusindex[v] = i ans = 0 for i in range(N): a = A[i] b = B[i] nowindex = disindex[a -b] l1 = segdis.query(nowindex,len(dis)) segdis.update(nowindex,i) nowindex = plusindex[b+a] l2 = segplus.query(nowindex,len(plus)) segplus.update(nowindex,i) l = max(l1,l2) ans += i - l -1 print(ans)