#[allow(unused_imports)] use std::cmp::*; #[allow(unused_imports)] use std::collections::*; use std::io::*; #[allow(dead_code)] fn getline() -> String { let mut ret = String::new(); std::io::stdin().read_line(&mut ret).ok(); return ret; } fn get_word() -> String { let mut stdin = std::io::stdin(); let mut u8b: [u8; 1] = [0]; loop { let mut buf: Vec = 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 = std::string::String::from_utf8(buf).unwrap(); return ret; } } } fn parse(s: &str) -> T { s.parse::().ok().unwrap() } #[allow(dead_code)] fn get() -> T { parse(&get_word()) } const INF: i64 = 1 << 50; fn solve(a: &[i64]) -> i64 { let n = a.len(); if n == 1 { return a[0]; } let mut dp = vec![vec![vec![INF; 2]; n + 1]; n]; dp[1][n][0] = a[0]; dp[0][n - 1][1] = a[n - 1]; for s in (0 .. n - 1).rev() { for i in 0 .. min(n - s + 1, n) { // dp[i][i + s][0], goes to i - 1 let mut res = INF; // i + s -> i - 1 if i >= 1 && i + s < n { res = min(res, dp[i - 1][i + s][1] + s as i64 + 1); } // i - 2 -> i - 1 if i >= 2 { res = min(res, dp[i - 1][i + s][0] + 1); } if i >= 1 { res = max(res, a[i - 1]); } dp[i][i + s][0] = res; // dp[i][i + s][1], goes to i + s let mut res = INF; // i - 1 -> i + s if i >= 1 && i + s + 1 <= n { res = min(res, dp[i][i + s + 1][0] + s as i64 + 1); } // i + s + 1 -> i + s if i + s + 1 <= n - 1 { res = min(res, dp[i][i + s + 1][1] + 1); } if i + s + 1 < n { res = max(res, a[i + s]); } dp[i][i + s][1] = res; //println!("dp[{}][{}] = {:?}", i, i + s, dp[i][i + s]); } } let mut mi = 1 << 58; for i in 0 .. n { mi = min(mi, min(dp[i][i][0], dp[i][i][1])); } mi } // Solved after reading the editorial fn main() { let n = get(); let a: Vec = (0..n).map(|_| get()).collect(); println!("{}", solve(&a)); }