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 C# (Mono 4.6.2.0) (judge verdict: Wrong Answer)

//author: camypaper
using System;
using System.Linq;
using System.Collections.Generic;
using System.Text.RegularExpressions;
using Debug = System.Diagnostics.Debug;
using SB = System.Text.StringBuilder;
using System.Numerics;
using Point = System.Numerics.Complex;
using static System.Math;
using Number = System.Int64;
using System.Runtime.CompilerServices;

namespace Program {
    public class Solver {
        Random rnd = new Random(0);
        public void Solve() {
            var a = rs;
            var b = rs;
            var c = rs;
            var ok1 = new bool[5000];
            var ok2 = new bool[5000];
            var ok3 = new bool[5000];
            var C = 2500;
            for (int i = 0; i < 5000; i++)
                ok1[i] = ok2[i] = ok3[i] = true;
            for (int dx = -2010; dx <= 2010; dx++) {
                for (int i = 0; i < a.Length; i++) {
                    var j = i - dx;
                    if (j < 0 || j >= b.Length) continue;
                    ok1[C + dx] &= a[i] == b[j] || a[i] == '?' || b[j] == '?';
                }
                for (int i = 0; i < a.Length; i++) {
                    var j = i - dx;
                    if (j < 0 || j >= c.Length) continue;
                    ok2[C + dx] &= a[i] == c[j] || a[i] == '?' || c[j] == '?';
                }
                for (int i = 0; i < b.Length; i++) {
                    var j = i - dx;
                    if (j < 0 || j >= c.Length) continue;
                    ok3[C + dx] &= b[i] == c[j] || b[i] == '?' || c[j] == '?';
                }
            }
            var ans = a.Length + b.Length + c.Length;
            for (int dx = -2001; dx <= 2001; dx++)
                if (ok1[dx + C])
                    for (int dy = -2001; dy <= 2001; dy++)
                        if (ok2[dy + C]) {
                            var dl = dy - dx;
                            var ok = true;
                            if (Abs(dl) < 2005)
                                ok &= ok3[dl + C];
                            var mi = Min(0, Min(dx, dy));
                            var ma = Max(a.Length, Max(dx + b.Length, dy + c.Length));
                            if (ok && ma - mi < ans) {
                                Debug.WriteLine($"{dx} {dy} {ma - mi}");
                                ans = Min(ans, ma - mi);
                            }

                        }

            Console.WriteLine(ans);
        }
        const long INF = 1L << 60;
        int ri => sc.Integer();
        long rl => sc.Long();
        double rd => sc.Double();
        string rs => sc.Scan();
        public IO.StreamScanner sc = new IO.StreamScanner(Console.OpenStandardInput());

        static IEnumerable<int> Rep(int n) => Enumerable.Range(0, n);
        static IEnumerable<int> RRep(int n) => Enumerable.Range(0, n).Reverse();
        static T[] Enumerate<T>(int n, Func<int, T> f) {
            var a = new T[n];
            for (int i = 0; i < a.Length; ++i) a[i] = f(i);
            return a;
        }
        static public void Swap<T>(ref T a, ref T b) { var tmp = a; a = b; b = tmp; }
    }
}

#region main
static class Ex {
    static public string AsString(this IEnumerable<char> ie) { return new string(ie.ToArray()); }
    static public string AsJoinedString<T>(this IEnumerable<T> ie, string st = " ") {
        return string.Join(st, ie);
    }
    static public void Main() {
        //Console.SetOut(new Program.IO.Printer(Console.OpenStandardOutput()) { AutoFlush = false });
        var solver = new Program.Solver();
        solver.Solve();
        Console.Out.Flush();
    }
}
#endregion
#region Ex
namespace Program.IO {
    using System.IO;
    using System.Text;
    using System.Globalization;

    public class Printer : StreamWriter {
        public override IFormatProvider FormatProvider => CultureInfo.InvariantCulture;
        public Printer(Stream stream) : base(stream, new UTF8Encoding(false, true)) { }
    }

    public class StreamScanner {
        public StreamScanner(Stream stream) { str = stream; }

        public readonly Stream str;
        private readonly byte[] buf = new byte[1024];
        private int len, ptr;
        public bool isEof = false;

        private byte read() {
            if (isEof) return 0;
            if (ptr >= len) {
                ptr = 0;
                if ((len = str.Read(buf, 0, 1024)) <= 0) {
                    isEof = true;
                    return 0;
                }
            }
            return buf[ptr++];
        }

        public char Char() {
            byte b = 0;
            do b = read(); while ((b < 33 || 126 < b) && !isEof);
            return (char)b;
        }
        public string Scan() {
            var sb = new StringBuilder();
            for (var b = Char(); b >= 33 && b <= 126; b = (char)read()) sb.Append(b);
            return sb.ToString();
        }
        public string ScanLine() {
            var sb = new StringBuilder();
            for (var b = Char(); b != '\n' && b != 0; b = (char)read()) if (b != '\r') sb.Append(b);
            return sb.ToString();
        }
        public long Long() { return isEof ? long.MinValue : long.Parse(Scan()); }
        public int Integer() { return isEof ? int.MinValue : int.Parse(Scan()); }
        public double Double() { return isEof ? double.NaN : double.Parse(Scan(), CultureInfo.InvariantCulture); }
    }
}

#endregion