#![allow(unused_imports)] #![allow(non_snake_case, unused)] use std::cmp::*; use std::collections::*; use std::ops::*; // https://atcoder.jp/contests/hokudai-hitachi2019-1/submissions/10518254 より macro_rules! eprint { ($($t:tt)*) => {{ use ::std::io::Write; let _ = write!(::std::io::stderr(), $($t)*); }}; } macro_rules! eprintln { () => { eprintln!(""); }; ($($t:tt)*) => {{ use ::std::io::Write; let _ = writeln!(::std::io::stderr(), $($t)*); }}; } macro_rules! dbg { ($v:expr) => {{ let val = $v; eprintln!("[{}:{}] {} = {:?}", file!(), line!(), stringify!($v), val); val }} } macro_rules! mat { ($($e:expr),*) => { Vec::from(vec![$($e),*]) }; ($($e:expr,)*) => { Vec::from(vec![$($e),*]) }; ($e:expr; $d:expr) => { Vec::from(vec![$e; $d]) }; ($e:expr; $d:expr $(; $ds:expr)+) => { Vec::from(vec![mat![$e $(; $ds)*]; $d]) }; } macro_rules! ok { ($a:ident$([$i:expr])*.$f:ident()$(@$t:ident)*) => { $a$([$i])*.$f($($t),*) }; ($a:ident$([$i:expr])*.$f:ident($e:expr$(,$es:expr)*)$(@$t:ident)*) => { { let t = $e; ok!($a$([$i])*.$f($($es),*)$(@$t)*@t) } }; } pub fn readln() -> String { let mut line = String::new(); ::std::io::stdin().read_line(&mut line).unwrap_or_else(|e| panic!("{}", e)); line } macro_rules! read { ($($t:tt),*; $n:expr) => {{ let stdin = ::std::io::stdin(); let ret = ::std::io::BufRead::lines(stdin.lock()).take($n).map(|line| { let line = line.unwrap(); let mut it = line.split_whitespace(); _read!(it; $($t),*) }).collect::>(); ret }}; ($($t:tt),*) => {{ let line = readln(); let mut it = line.split_whitespace(); _read!(it; $($t),*) }}; } macro_rules! _read { ($it:ident; [char]) => { _read!($it; String).chars().collect::>() }; ($it:ident; [u8]) => { Vec::from(_read!($it; String).into_bytes()) }; ($it:ident; usize1) => { $it.next().unwrap_or_else(|| panic!("input mismatch")).parse::().unwrap_or_else(|e| panic!("{}", e)) - 1 }; ($it:ident; [usize1]) => { $it.map(|s| s.parse::().unwrap_or_else(|e| panic!("{}", e)) - 1).collect::>() }; ($it:ident; [$t:ty]) => { $it.map(|s| s.parse::<$t>().unwrap_or_else(|e| panic!("{}", e))).collect::>() }; ($it:ident; $t:ty) => { $it.next().unwrap_or_else(|| panic!("input mismatch")).parse::<$t>().unwrap_or_else(|e| panic!("{}", e)) }; ($it:ident; $($t:tt),+) => { ($(_read!($it; $t)),*) }; } pub fn main() { let _ = ::std::thread::Builder::new().name("run".to_string()).stack_size(32 * 1024 * 1024).spawn(run).unwrap().join(); } // const MOD: usize = 998244353; const MOD: usize = 1_000_000_007; const INF: i64 = std::i64::MAX/100; // const INF: usize = std::usize::MAX; // const INF: i128 = std::i128::MAX/100; // https://yukicoder.me/submissions/379658 より pub trait TE { type T: Clone; type E: Clone; fn fold(l:Self::T, r:Self::T) -> Self::T; fn eval(p:Self::T, x:Self::E) -> Self::T; fn merge(f:Self::E, g:Self::E) -> Self::E; fn e() -> Self::T; fn id() -> Self::E; } pub struct LazySegmentTree { size: usize, bit: usize, a: Vec<(R::T, R::E)>, } impl LazySegmentTree { pub fn new(n: usize) -> LazySegmentTree { let mut bit = 0; while (1 << bit) < n { bit += 1; } LazySegmentTree { size: 1 << bit, bit: bit, a: vec![(R::e(), R::id()); 2 << bit], } } pub fn build_by(z: &[R::T]) -> LazySegmentTree { let n = z.len(); let mut bit = 0; while (1 << bit) < n { bit += 1; } let mut a = vec![(R::e(), R::id()); 2 << bit]; for (a, z) in a[(1 << bit)..].iter_mut().zip(z.iter()) { a.0 = z.clone(); } for i in (1..(1 << bit)).rev() { let l = R::eval(a[2 * i].0.clone(), a[2 * i].1.clone()); let r = R::eval(a[2 * i + 1].0.clone(), a[2 * i + 1].1.clone()); a[i].0 = R::fold(l, r); } LazySegmentTree { size: 1 << bit, bit : bit, a: a, } } fn eval(&self, k: usize) -> R::T { R::eval(self.a[k].0.clone(), self.a[k].1.clone()) } fn propagate(&mut self, x: usize) { let x = x + self.size; for i in (1..(self.bit + 1)).rev() { let k = x >> i; self.a[2 * k].1 = R::merge(self.a[2 * k].1.clone(), self.a[k].1.clone()); self.a[2 * k + 1].1 = R::merge(self.a[2 * k + 1].1.clone(), self.a[k].1.clone()); self.a[k].1 = R::id(); self.a[k].0 = R::fold(self.eval(2 * k), self.eval(2 * k + 1)); } } fn save(&mut self, x: usize) { let x = x + self.size; for i in 1..(self.bit + 1) { let k = x >> i; self.a[k].0 = R::fold(self.eval(2 * k), self.eval(2 * k + 1)); } } pub fn update(&mut self, l: usize, r: usize, op: R::E) { self.propagate(l); self.propagate(r - 1); let mut x = l + self.size; let mut y = r + self.size; while x < y { if x & 1 == 1 { self.a[x].1 = R::merge(self.a[x].1.clone(), op.clone()); x += 1; } if y & 1 == 1 { y -= 1; self.a[y].1 = R::merge(self.a[y].1.clone(), op.clone()); } x >>= 1; y >>= 1; } self.save(l); self.save(r - 1); } pub fn find(&mut self, l: usize, r: usize) -> R::T { self.propagate(l); self.propagate(r - 1); let mut x = l + self.size; let mut y = r + self.size; let mut p = R::e(); let mut q = R::e(); while x < y { if x & 1 == 1 { p = R::fold(p, self.eval(x)); x += 1; } if y & 1 == 1 { y -= 1; q = R::fold(self.eval(y), q); } x >>= 1; y >>= 1; } R::fold(p, q) } } struct R; impl TE for R { type T = (i64,i64); type E = i64; fn fold(l: Self::T, r: Self::T) -> Self::T { (min(l.0,r.0), min(max(l.0,r.0),min(l.1,r.1))) } fn eval(p: Self::T, x: Self::E) -> Self::T { p } fn merge(f: Self::E, g: Self::E) -> Self::E { f } fn e() -> Self::T { (INF,INF) } fn id() -> Self::E { INF } } struct R2; impl TE for R2 { type T = (i64,i64); type E = i64; fn fold(l: Self::T, r: Self::T) -> Self::T { (max(l.0,r.0),0) } fn eval(p: Self::T, x: Self::E) -> Self::T { p } fn merge(f: Self::E, g: Self::E) -> Self::E { f } fn e() -> Self::T { (0,0) } fn id() -> Self::E { 0 } } fn solve() { let n = read!(usize); let a = read!([i64]); let mut b = vec![]; let mut c = vec![]; for i in 0..n { b.push((a[i],INF)); c.push((a[i],0)); } let mut seg = LazySegmentTree::::build_by(&b); let mut seg2 = LazySegmentTree::::build_by(&c); let mut ans = 0; for i in 0..n-1 { let mut l = i; let mut r = n; while r-l>1 { let mid = (l+r)/2; let (x,y) = seg.find(i,mid+1); let (z,_) = seg2.find(i,mid+1); if z>x+y { r = mid; } else { l = mid; } } // println!("{} {}",i,l); ans += (l-i) as i64; } println!("{}",ans); } fn run() { let stack_size = 104_857_600; // 100 MB let thd = std::thread::Builder::new().stack_size(stack_size); solve(); }