#[allow(unused_imports)] use std::cmp::*; #[allow(unused_imports)] use std::collections::*; 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, [graph1; $len:expr]) => {{ let mut g = vec![vec![]; $len]; let ab = read_value!($next, [(usize1, usize1)]); for (a, b) in ab { g[a].push(b); g[b].push(a); } g }}; ($next:expr, ( $($t:tt),* )) => { ( $(read_value!($next, $t)),* ) }; ($next:expr, [ $t:tt ; $len:expr ]) => { (0..$len).map(|_| read_value!($next, $t)).collect::>() }; ($next:expr, chars) => { read_value!($next, String).chars().collect::>() }; ($next:expr, usize1) => (read_value!($next, usize) - 1); ($next:expr, [ $t:tt ]) => {{ let len = read_value!($next, usize); read_value!($next, [$t; len]) }}; ($next:expr, $t:ty) => ($next().parse::<$t>().expect("Parse error")); } // https://atcoder.jp/contests/joisc2007/submissions/18675713 use std::ops::*; fn karatsuba_convolution_sub(a: &[R], b: &[R], out: &mut [R]) where R: Copy + AddAssign + SubAssign + Mul + Default { let n = a.len(); let m = b.len(); if n == 0 || m == 0 { return; } if min(n, m) <= 128 { for i in 0..n { for j in 0..m { if i + j < out.len() { out[i + j] += a[i] * b[j]; } } } return; } let l = max(n, m); let al = &a[..min(a.len(), l / 2)]; let bl = &b[..min(b.len(), l / 2)]; let ah = &a[min(a.len(), l / 2)..]; let bh = &b[min(b.len(), l / 2)..]; if ah.is_empty() || bh.is_empty() { karatsuba_convolution_sub(&al, &bl, out); if out.len() >= l / 2 { karatsuba_convolution_sub(&al, &bh, &mut out[l / 2..]); karatsuba_convolution_sub(&ah, &bl, &mut out[l / 2..]); if out.len() >= l / 2 * 2 { karatsuba_convolution_sub(&ah, &bh, &mut out[l / 2 * 2..]); } } return; } let mut lo = vec![R::default(); al.len() + bl.len()]; karatsuba_convolution_sub(&al, &bl, &mut lo); let mut hi = vec![R::default(); ah.len() + bh.len()]; karatsuba_convolution_sub(&ah, &bh, &mut hi); // al * bh + ah * bl = al * bl + ah * bh - (al - ah) * (bl - bh) let mut dif_a = vec![R::default(); l - l / 2]; // ah - al let mut dif_b = vec![R::default(); l - l / 2]; // bl - bh for i in 0..l / 2 { if i < al.len() { dif_a[i] -= al[i]; } if i < bl.len() { dif_b[i] = bl[i]; } } for i in 0..l - l / 2 { if i < ah.len() { dif_a[i] += ah[i]; } if i < bh.len() { dif_b[i] -= bh[i]; } } if out.len() > l / 2 { karatsuba_convolution_sub(&dif_a, &dif_b, &mut out[l / 2..]); } for i in 0..min(lo.len(), out.len()) { out[i] += lo[i]; if i + l / 2 < out.len() { out[i + l / 2] += lo[i]; } } for i in 0..min(hi.len(), out.len()) { if i + l / 2 * 2 < out.len() { out[i + l / 2 * 2] += hi[i]; } if i + l / 2 < out.len() { out[i + l / 2] += hi[i]; } } } fn karatsuba_convolution(a: &[R], b: &[R]) -> Vec where R: Copy + AddAssign + SubAssign + Mul + Default { let n = a.len(); let m = b.len(); let mut ret = vec![R::default(); n + m - 1]; karatsuba_convolution_sub(a, b, &mut ret); ret } // Tags: fft, convolution, karatsuba 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, q: usize, a: [i64; n], r: [usize; q], } let mut f = vec![0i64; n]; let mut g = vec![0; n + 1]; for i in 0..n { f[i] += a[i]; } for r in r { g[n - r] += 1; } let res = karatsuba_convolution(&f, &g); let mut ans = vec![0; n]; for i in 0..res.len() { ans[i % n] += res[i]; } for i in 0..n { puts!("{}{}", ans[i], if i + 1 == n { "\n" } else { " " }); } }