use std::cmp::*; // 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 ; $len:expr ]) => { (0..$len).map(|_| read_value!($next, $t)).collect::>() }; ($next:expr, $t:ty) => ($next().parse::<$t>().expect("Parse error")); } /** * Segment Tree. This data structure is useful for fast folding on intervals of an array * whose elements are elements of monoid I. Note that constructing this tree requires the identity * element of I and the operation of I. * Verified by: yukicoder No. 259 (http://yukicoder.me/submissions/100581) * AGC015-E (http://agc015.contest.atcoder.jp/submissions/1461001) * yukicoder No. 833 (https://yukicoder.me/submissions/703521) */ struct SegTree { n: usize, orign: usize, dat: Vec, op: BiOp, e: I, } impl SegTree 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, orign: n_, dat: vec![e; 2 * n - 1], op: op, e: e} } /* ary[k] <- v */ pub fn update(&mut self, idx: usize, v: I) { debug_assert!(idx < self.orign); 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]); } } } // Depends on: datastr/SegTree.rs // Verified by: https://yukicoder.me/submissions/717436 impl SegTree where BiOp: Fn(I, I) -> I, I: Copy { // Port from https://github.com/atcoder/ac-library/blob/master/atcoder/segtree.hpp fn max_right bool>( &self, mut l: usize, f: &F, ) -> usize { assert!(f(self.e)); if l == self.orign { return self.orign; } l += self.n - 1; let mut sm = self.e; loop { while l % 2 == 1 { l = (l - 1) / 2; } if !f((self.op)(sm, self.dat[l])) { while l < self.n - 1 { l = 2 * l + 1; let val = (self.op)(sm, self.dat[l]); if f(val) { sm = val; l += 1; } } return std::cmp::min(self.orign, l + 1 - self.n); } sm = (self.op)(sm, self.dat[l]); l += 1; if (l + 1).is_power_of_two() { break; } } self.orign } } const INF: i64 = 1 << 50; // https://yukicoder.me/problems/no/1435 (3) // 条件 (の否定) は単調性を満たす。セグメント木上の二分探索で O(N log N)。 fn main() { input! { n: usize, a: [i64; n], } let mut st = SegTree::new(n, |(a1, a2, b), (c1, c2, d)| { let mut v = [a1, a2, c1, c2]; v.sort(); (v[0], v[1], max(b, d)) }, (INF, INF, -INF)); for i in 0..n { st.update(i, (a[i], INF, a[i])); } let mut ans = 0i64; for i in 0..n { let idx = st.max_right(i, &|(m1, m2, ma)| m1 + m2 >= ma); ans += (idx - i - 1) as i64; } println!("{}", ans); }