結果
問題 | No.404 部分門松列 |
ユーザー | koba-e964 |
提出日時 | 2017-03-04 03:39:39 |
言語 | Rust (1.77.0) |
結果 |
AC
|
実行時間 | 1,876 ms / 2,000 ms |
コード長 | 6,171 bytes |
コンパイル時間 | 2,757 ms |
コンパイル使用メモリ | 148,184 KB |
実行使用メモリ | 21,760 KB |
最終ジャッジ日時 | 2023-09-04 11:55:37 |
合計ジャッジ時間 | 29,271 ms |
ジャッジサーバーID (参考情報) |
judge11 / judge14 |
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テストケース
テストケース表示入力 | 結果 | 実行時間 実行使用メモリ |
---|---|---|
testcase_00 | AC | 1 ms
4,384 KB |
testcase_01 | AC | 1 ms
4,384 KB |
testcase_02 | AC | 1 ms
4,380 KB |
testcase_03 | AC | 1 ms
4,384 KB |
testcase_04 | AC | 2 ms
4,384 KB |
testcase_05 | AC | 2 ms
4,380 KB |
testcase_06 | AC | 1 ms
4,380 KB |
testcase_07 | AC | 1 ms
4,380 KB |
testcase_08 | AC | 2 ms
4,384 KB |
testcase_09 | AC | 2 ms
4,380 KB |
testcase_10 | AC | 2 ms
4,380 KB |
testcase_11 | AC | 2 ms
4,384 KB |
testcase_12 | AC | 2 ms
4,384 KB |
testcase_13 | AC | 681 ms
9,832 KB |
testcase_14 | AC | 595 ms
12,280 KB |
testcase_15 | AC | 571 ms
10,196 KB |
testcase_16 | AC | 1,111 ms
18,404 KB |
testcase_17 | AC | 1,119 ms
14,040 KB |
testcase_18 | AC | 319 ms
4,384 KB |
testcase_19 | AC | 379 ms
7,216 KB |
testcase_20 | AC | 843 ms
20,624 KB |
testcase_21 | AC | 1,150 ms
17,512 KB |
testcase_22 | AC | 392 ms
4,380 KB |
testcase_23 | AC | 940 ms
21,748 KB |
testcase_24 | AC | 1,263 ms
21,636 KB |
testcase_25 | AC | 1,876 ms
21,760 KB |
testcase_26 | AC | 1,659 ms
21,484 KB |
testcase_27 | AC | 249 ms
4,380 KB |
testcase_28 | AC | 656 ms
7,296 KB |
testcase_29 | AC | 1,373 ms
19,040 KB |
testcase_30 | AC | 683 ms
10,924 KB |
testcase_31 | AC | 125 ms
4,384 KB |
testcase_32 | AC | 1,198 ms
17,248 KB |
testcase_33 | AC | 903 ms
11,236 KB |
testcase_34 | AC | 863 ms
13,040 KB |
ソースコード
#[allow(unused_imports)] use std::cmp::*; #[allow(unused_imports)] use std::collections::*; use std::io::Read; #[allow(dead_code)] fn getline() -> String { let mut ret = String::new(); std::io::stdin().read_line(&mut ret).ok().unwrap(); ret } fn get_word() -> String { let mut stdin = std::io::stdin(); let mut u8b: [u8; 1] = [0]; loop { let mut buf: Vec<u8> = Vec::with_capacity(16); loop { let res = stdin.read(&mut u8b); if res.unwrap_or(0) == 0 || u8b[0] <= b' ' { break; } else { buf.push(u8b[0]); } } if buf.len() >= 1 { let ret = String::from_utf8(buf).unwrap(); return ret; } } } #[allow(dead_code)] fn get<T: std::str::FromStr>() -> T { get_word().parse().ok().unwrap() } /** * Segment Tree. This data structure is useful for fast folding on intervals of an array * whose elements are elements of monoid M. Note that constructing this tree requires the identity * element of M and the operation of M. * Verified by: yukicoder No. 259 (http://yukicoder.me/submissions/100581) */ struct SegTree<I, BiOp> { n: usize, dat: Vec<I>, op: BiOp, e: I, } impl<I, BiOp> SegTree<I, BiOp> where BiOp: Fn(I, I) -> I, I: Copy { pub fn new(n_: usize, op: BiOp, e: I) -> Self { let mut n = 1; while n < n_ { n *= 2; } // n is a power of 2 SegTree {n: n, dat: vec![e; 2 * n - 1], op: op, e: e} } /* ary[k] <- v */ pub fn update(&mut self, idx: usize, v: I) { let mut k = idx + self.n - 1; self.dat[k] = v; while k > 0 { k = (k - 1) / 2; self.dat[k] = (self.op)(self.dat[2 * k + 1], self.dat[2 * k + 2]); } } /* l,r are for simplicity */ fn query_sub(&self, a: usize, b: usize, k: usize, l: usize, r: usize) -> I { // [a,b) and [l,r) intersects? if r <= a || b <= l { return self.e; } if a <= l && r <= b { return self.dat[k]; } let vl = self.query_sub(a, b, 2 * k + 1, l, (l + r) / 2); let vr = self.query_sub(a, b, 2 * k + 2, (l + r) / 2, r); (self.op)(vl, vr) } /* [a, b] (note: inclusive) */ pub fn query(&self, a: usize, b: usize) -> I { self.query_sub(a, b + 1, 0, 0, self.n) } } /// Coordinate compression /// Returns a vector of usize, with i-th element the "rank" of a[i] in a. /// The property forall i. inv_map[ret[i]] == a[i] holds. fn coord_compress<T: Ord>(a: &[T]) -> (Vec<usize>, Vec<&T>) { let n = a.len(); let mut cp: Vec<(&T, usize)> = (0 .. n).map(|i| (&a[i], i)).collect(); cp.sort(); let mut inv_map = Vec::with_capacity(n); let mut prev: Option<&T> = None; let mut ret = vec![0; n]; let mut cnt = 0; for (v, i) in cp { if prev == Some(v) { ret[i] = cnt - 1; continue; } ret[i] = cnt; inv_map.push(v); prev = Some(v); cnt += 1; } (ret, inv_map) } fn calc_three_steps(a: &[usize]) -> Vec<i64> { let n = a.len(); // Shifted by 1 (right) to avoid subtraction underflow let mut st = SegTree::new(n + 1, |x, y| x + y, 0); let mut st_sq = SegTree::new(n + 1, |x, y| x + y, 0); let mut ret = vec![0; n]; for i in 0 .. n { let tmp = st.query(a[i] + 1, a[i] + 1) + 1; let stsum = st.query(1, a[i]); ret[i] = (stsum * stsum - st_sq.query(1, a[i])) / 2; st.update(a[i] + 1, tmp); st_sq.update(a[i] + 1, tmp * tmp); } ret } fn calc_three_any(a: &[usize]) -> Vec<i64> { let n = a.len(); // Shifted by 1 (right) to avoid subtraction underflow let mut st = SegTree::new(n + 1, |x, y| x + y, 0); let mut st_sq = SegTree::new(n + 1, |x, y| x + y, 0); let mut ret = vec![0; n]; for i in 0 .. n { let tmp = st.query(a[i] + 1, a[i] + 1) + 1; st.update(a[i] + 1, tmp); st_sq.update(a[i] + 1, tmp * tmp); } for i in 0 .. n { let stsum = st.query(1, a[i]); ret[i] = (stsum * stsum - st_sq.query(1, a[i])) / 2; } ret } // Finds #{(j, k) | j < i < k, a[j] < a[i] > a[k], a[j] != a[k]} for every i. fn calc_max_aux(a: &[i32], ret: &mut [i64]) { let n = a.len(); let (mut a, _) = coord_compress(a); let three = calc_three_steps(&a); let any = calc_three_any(&a); a.reverse(); let three_rev = calc_three_steps(&a); for i in 0 .. n { ret[i] += any[i] -three[i] - three_rev[n - 1 - i]; } } // Precomputation // Counts how many kadomatsu seqs. with the center a[i] can be made. // O(n * log(n)) fn calc_aux(a: &[i32]) -> Vec<i64> { let n = a.len(); let mut aux: Vec<i64> = vec![0; n]; calc_max_aux(a, &mut aux); let mut a = a.to_vec(); for v in a.iter_mut() { *v *= -1; } calc_max_aux(&a, &mut aux); aux } fn main() { let line = getline(); let n = line.trim().parse().ok().unwrap(); let line = getline(); let a: Vec<i32> = line.trim().split(" ").map(|s| s.parse().ok().unwrap()) .collect(); let aux = calc_aux(&a); let mut acc = vec![(0, 0); n + 1]; for i in 0 .. n { acc[i] = (a[i], aux[i]); } acc[n] = (-1 << 30, 0); acc.sort(); for i in 0 .. n + 1 { acc[i].1 += if i == 0 { 0 } else { acc[i - 1].1 }; } let acc0: Vec<i64> = acc.iter().map(|&v| 2 * v.0 as i64).collect(); let acc1: Vec<i64> = acc.iter().map(|&v| v.1).collect(); let line = getline(); let q = line.trim().parse().ok().unwrap(); for _ in 0 .. q { let line = getline(); let readvec: Vec<i64> = line.trim().split(" ").map(|s| s.parse().ok().unwrap()) .collect(); let l: i64 = readvec[0]; let h: i64 = readvec[1]; let upper = match acc0.binary_search(&(2 * h + 1)) { Ok(v) => v, Err(v) => v, }; let lower = match acc0.binary_search(&(2 * l - 1)) { Ok(v) => v, Err(v) => v, }; println!("{}", acc1[upper - 1] - acc1[lower - 1]); } }