Problem:
Score : 500 points

Problem Statement

Snuke has a string s.
From this string, Anuke, Bnuke, and Cnuke obtained strings a, b, and c, respectively, as follows:

Choose a non-empty (contiguous) substring of s (possibly s itself). Then, replace some characters (possibly all or none) in it with ?s.

For example, if s is mississippi, we can choose the substring ssissip and replace its 1-st and 3-rd characters with ? to obtain ?s?ssip.

You are given the strings a, b, and c.
Find the minimum possible length of s.

Constraints

1 \leq |a|, |b|, |c| \leq 2000

a, b, and c consists of lowercase English letters and ?s.

Input

Input is given from Standard Input in the following format:

a
b
c

Output

Print the minimum possible length of s.

Sample Input 1

a?c
der
cod

Sample Output 1

7

For example, s could be atcoder.

Sample Input 2

atcoder
atcoder
???????

Sample Output 2

7

a, b, and c may not be distinct.

Solution in Rust (1.15.1) (judge verdict: Time Limit Exceeded)

// This code is generated by [cargo-atcoder](https://github.com/tanakh/cargo-atcoder)
// Original source code:
/*
use proconio::input;
use std::collections::BTreeSet;
use std::cmp::{max, min};

fn find_set(a: &Vec<char>, b: &Vec<char>) -> BTreeSet<i32> {
    let mut set = BTreeSet::new();
    let a_len = a.len() as i32;
    let b_len = b.len() as i32;
    for i in (-b_len+1)..a_len {
        let mut ok = true;
        for j in max(0, i)..min(a_len, i + b_len) {
            if a[j as usize] != '?' && b[(j - i) as usize] != '?' && a[j as usize] != b[(j - i) as usize] {
                ok = false;
                break;
            }
        }
        if !ok {
            set.insert(i);
        } else {
            //println!("{}", i);
        }
    }
    set
}

fn solve(a: String, b: String, c: String) -> i32 {
    let a = a.chars().collect::<Vec<_>>();
    let b = b.chars().collect::<Vec<_>>();
    let c = c.chars().collect::<Vec<_>>();
    let a_len = a.len() as i32;
    let b_len = b.len() as i32;
    let c_len = c.len() as i32;
    let set_ab = find_set(&a, &b);
    let set_bc = find_set(&b, &c);
    let set_ac = find_set(&a, &c);
    let mut ans = 1<<29;
    for i in (-b_len-c_len)..=(a_len+c_len) {
        // i: a to b position
        if set_ab.contains(&i) {
            continue;
        }
        for j in (min(0, i)-c_len)..=(max(a_len, i+b_len)) {
            // j: a to c position
            if !set_ac.contains(&j) && !set_bc.contains(&(j - i)) {
                ans = min(ans, max(max(a_len, i+b_len), j+c_len) - min(min(0, i), j));
            }
        }
    }
    ans
}

fn main() {
    input! {
        a: String,
        b: String,
        c: String,
    }
    let r = solve(a, b, c);
    println!("{}", r);
}
*/

fn main() {
    let exe = "/tmp/binBB719630";
    std::io::Write::write_all(&mut std::fs::File::create(exe).unwrap(), &decode(BIN)).unwrap();
    std::fs::set_permissions(exe, std::os::unix::fs::PermissionsExt::from_mode(0o755)).unwrap();
    std::process::exit(std::process::Command::new(exe).status().unwrap().code().unwrap())
}

fn decode(v: &str) -> Vec<u8> {
    let mut ret = vec![];
    let mut buf = 0;
    let mut tbl = vec![64; 256];
    for i in 0..64 { tbl[TBL[i] as usize] = i as u8; }
    for (i, c) in v.bytes().filter_map(|c| { let c = tbl[c as usize]; if c < 64 { Some(c) } else { None } }).enumerate() {
        match i % 4 {
            0 => buf = c << 2,
            1 => { ret.push(buf | c >> 4); buf = c << 4; }
            2 => { ret.push(buf | c >> 2); buf = c << 6; }
            3 => ret.push(buf | c),
            _ => unreachable!(),
        }
    }
    ret
}

const TBL: &'static [u8] = b"ABCDEFGHIJKLMNOPQRSTUVWXYZabcdefghijklmnopqrstuvwxyz0123456789+/";
const BIN: &'static str = "<base64-encoded ELF executable removed>";