def op(x, y): return x + y class SegTree: def __init__(self, init_val, op, ide_ele): n = len(init_val) self.n = n self.op = op self.ide_ele = ide_ele self.num = 1 << (n - 1).bit_length() self.tree = [ide_ele] * 2 * self.num for i in range(n): self.tree[self.num + i] = init_val[i] for i in range(self.num - 1, 0, -1): self.tree[i] = self.op(self.tree[2 * i], self.tree[2 * i + 1]) def update(self, k, x): k += self.num self.tree[k] = x while k > 1: self.tree[k >> 1] = self.op(self.tree[k], self.tree[k ^ 1]) k >>= 1 def query(self, l, r): res = self.ide_ele l += self.num r += self.num while l < r: if l & 1: res = self.op(res, self.tree[l]) l += 1 if r & 1: res = self.op(res, self.tree[r - 1]) l >>= 1 r >>= 1 return res def __getitem__(self, n): return self.tree[self.num+n] def List(self): return self.tree[self.num:self.num+self.n] def compress(A): S = sorted(set(A)) D = dict() for i in range(len(S)): D[S[i]] = i return D N = int(input()) XY = sorted([list(map(int, input().split())) for _ in range(N)], key=lambda x:x[0]) P, Q = 0, 0 D = compress([xy[1] for xy in XY]) cnt = [0]*len(D) for i in range(N): X, Y = XY[i] cnt[D[Y]] += 1 seg = SegTree(cnt, op, 0) tmp = [] idx = 0 while idx < N: while idx+1 < N and XY[idx][0] == XY[idx+1][0]: tmp.append(XY[idx][1]) seg.update(D[XY[idx][1]], seg[D[XY[idx][1]]]-1) idx += 1 tmp.append(XY[idx][1]) seg.update(D[XY[idx][1]], seg[D[XY[idx][1]]]-1) idx += 1 while tmp: y = tmp.pop() if 1 <= D[y]: Q += seg.query(0, D[y]) if D[y] < len(D)-1: P += seg.query(D[y]+1, len(D)) R, S = N*(N-1)//2, N*(N-1)//2 DX = compress([xy[0] for xy in XY]) cntX = [0]*len(DX) for i in range(N): X, Y = XY[i] cntX[DX[X]] += 1 for c in cntX: if c >= 2: R -= c*(c-1)//2 for c in cnt: if c >= 2: S -= c*(c-1)//2 print((P-Q)/((R*S)**0.5))