use std::io::{Write, BufWriter}; // https://qiita.com/tanakh/items/0ba42c7ca36cd29d0ac8 macro_rules! input { ($($r:tt)*) => { let stdin = std::io::stdin(); let mut bytes = std::io::Read::bytes(std::io::BufReader::new(stdin.lock())); let mut next = move || -> String{ bytes.by_ref().map(|r|r.unwrap() as char) .skip_while(|c|c.is_whitespace()) .take_while(|c|!c.is_whitespace()) .collect() }; input_inner!{next, $($r)*} }; } macro_rules! input_inner { ($next:expr) => {}; ($next:expr,) => {}; ($next:expr, $var:ident : $t:tt $($r:tt)*) => { let $var = read_value!($next, $t); input_inner!{$next $($r)*} }; } macro_rules! read_value { ($next:expr, ( $($t:tt),* )) => { ($(read_value!($next, $t)),*) }; ($next:expr, [ $t:tt ; $len:expr ]) => { (0..$len).map(|_| read_value!($next, $t)).collect::>() }; ($next:expr, usize1) => (read_value!($next, usize) - 1); ($next:expr, $t:ty) => ($next().parse::<$t>().expect("Parse error")); } // Quick-Find data structure. // Verified by: https://atcoder.jp/contests/cf17-tournament-round3-open/submissions/22928265 // Verified by: https://atcoder.jp/contests/ttpc2019/submissions/23384553 (polymorphic version) struct QuickFind { root: Vec, mem: Vec>, dat: Vec, default: T, } impl QuickFind<()> { #[allow(unused)] fn new(n: usize) -> Self { Self::with_dat(n, ()) } #[allow(unused)] fn unite(&mut self, x: usize, y: usize) { self.unite_with_hooks(x, y, |&(), _| (), |(), ()| ()); } } impl QuickFind { fn with_dat(n: usize, def: T) -> Self { let root = (0..n).collect(); let mut mem = vec![vec![]; n]; for i in 0..n { mem[i] = vec![i]; } QuickFind { root: root, mem: mem, dat: vec![def.clone(); n], default: def } } fn root(&self, x: usize) -> usize { self.root[x] } #[allow(unused)] fn set(&mut self, idx: usize, val: T) { let r = self.root[idx]; self.dat[r] = val; } // unite always merges y to x if |x| >= |y|. fn unite_with_hooks T>( &mut self, x: usize, y: usize, mut hook: F, mut merge: G) { let mut x = self.root(x); let mut y = self.root(y); if x == y { return } if self.mem[x].len() < self.mem[y].len() { std::mem::swap(&mut x, &mut y); } let memy = std::mem::replace(&mut self.mem[y], vec![]); for &v in &memy { self.root[v] = x; } self.mem[x].extend_from_slice(&memy); // hook hook(&self.dat[x], -1); hook(&self.dat[y], -1); self.dat[x] = merge( std::mem::replace(&mut self.dat[x], self.default.clone()), std::mem::replace(&mut self.dat[y], self.default.clone()), ); hook(&self.dat[x], 1); } #[allow(unused)] fn is_same_set(&self, x: usize, y: usize) -> bool { self.root(x) == self.root(y) } #[allow(unused)] fn size(&self, x: usize) -> usize { let x = self.root(x); self.mem[x].len() } } fn main() { let out = std::io::stdout(); let mut out = BufWriter::new(out.lock()); macro_rules! puts {($($format:tt)*) => (let _ = write!(out,$($format)*););} input! { n: usize, a: [f64; n], b: [f64; n], p: [f64; n], q: usize, xy:[(usize1, usize1); q], } let mut qf = QuickFind::with_dat(n, (0.0, 0.0, 0.0)); let mut tot = 0.0; for i in 0..n { qf.set(i, (a[i], b[i], 1.0 / p[i])); tot += (a[i] - b[i]) * (a[i] - b[i]) * p[i]; } for &(x, y) in &xy { qf.unite_with_hooks(x, y, |(a, b, pinv), dir| { tot += (a - b) * (a - b) / pinv * dir as f64; }, |(a1, b1, pinv1), (a2, b2, pinv2)| (a1 + a2, b1 + b2, pinv1 + pinv2)); puts!("{}\n", tot); } }