using System;

public class Hello
{
    static void Main()
    {
        string[] line = Console.ReadLine().Trim().Split(' ');
        var a = Array.ConvertAll(line, int.Parse);
        line = Console.ReadLine().Trim().Split(' ');
        var s0 = line[0];
        var t0 = int.Parse(line[1]);
        line = Console.ReadLine().Trim().Split(' ');
        var s1 = line[0];
        var t1 = int.Parse(line[1]);
        if (s0 == s1)
        {
            if (s0 == "A") Same(a, t0, t1, 0, 1, 2);
            else if (s0 == "B") Same(a, t0, t1, 1, 0, 2);
            else Same(a, t0, t1, 2, 0, 1);
        }
        else
        {
            if ((s0 == "A" && s1 == "B") | (s0 == "B" && s1 == "A")) Diff(a, t0, t1, 0, 1, 2);
            else if ((s0 == "B" && s1 == "C") | (s0 == "C" && s1 == "B")) Diff(a, t0, t1, 2, 1, 0);
            else Diff(a, t0, t1, 0, 2, 1);
        }
    }
    static void Diff(int[] a, int t0, int t1, int p, int q, int r)
    {
        var dp = new long[8, 8];
        for (int i = 0; i < 8; i++)
            for (int j = 0; j < 8; j++)
            {
                if (i == j) dp[i, i] = 0;
                else dp[i, j] = int.MaxValue * 10L;
            }
        dp[4, 5] = a[r] - 1;
        dp[5, 4] = dp[4, 5];
        dp[0, 2] = 1;
        dp[2, 0] = dp[0, 2];
        dp[2, 4] = 1;
        dp[4, 2] = dp[2, 4];
        dp[0, 4] = 1;
        dp[4, 0] = dp[0, 4];
        dp[1, 3] = 1;
        dp[3, 1] = dp[1, 3];
        dp[3, 5] = 1;
        dp[5, 3] = dp[3, 5];
        dp[1, 5] = 1;
        dp[5, 1] = dp[1, 5];

        dp[0, 6] = t0 - 1;
        dp[6, 0] = dp[0, 6];
        dp[1, 6] = a[p] - t0;
        dp[6, 1] = dp[1, 6];

        dp[2, 7] = t1 - 1;
        dp[7, 2] = dp[2, 7];
        dp[3, 7] = a[q] - t1;
        dp[7, 3] = dp[3, 7];

        goWarshall(dp);
        Console.WriteLine(dp[6, 7]);

    }
    static void Same(int[] a, int t0, int t1, int p, int q, int r)
    {
        if (t0 > t1) { Same(a, t1, t0, p, q, r); return; }
        var dp = new long[8, 8];
        for (int i = 0; i < 8; i++)
            for (int j = 0; j < 8; j++)
            {
                if (i == j) dp[i, i] = 0;
                else dp[i, j] = int.MaxValue * 10L;
            }
        dp[2, 3] = a[q] - 1;
        dp[3, 2] = dp[2, 3];
        dp[4, 5] = a[r] - 1;
        dp[5, 4] = dp[4, 5];
        dp[0, 2] = 1;
        dp[2, 0] = dp[0, 2];
        dp[2, 4] = 1;
        dp[4, 2] = dp[2, 4];
        dp[0, 4] = 1;
        dp[4, 0] = dp[0, 4];
        dp[1, 3] = 1;
        dp[3, 1] = dp[1, 3];
        dp[3, 5] = 1;
        dp[5, 3] = dp[3, 5];
        dp[1, 5] = 1;
        dp[5, 1] = dp[1, 5];
        dp[0, 6] = t0 - 1;
        dp[6, 0] = dp[0, 6];
        dp[6, 7] = t1 - t0;
        dp[7, 6] = dp[6, 7];
        dp[7, 1] = a[p] - t1;
        dp[1, 7] = dp[7, 1];
        goWarshall(dp);
        Console.WriteLine(dp[6, 7]);

    }
    static void goWarshall(long[,] dp)
    {
        var n = dp.GetLength(0);
        for (int i = 0; i < n; i++)
            for (int j = 0; j < n; j++)
                for (int k = 0; k < n; k++)
                    dp[j, k] = Math.Min(dp[j, k], dp[j, i] + dp[i, k]);
    }
}