import std.stdio, std.conv, std.functional, std.string;
import std.algorithm, std.array, std.container, std.range, std.typecons;
import std.numeric, std.math, std.random;
import core.bitop;

string FMT_F = "%.10f";

static string[] s_rd;
T RD(T = long)() { while(!s_rd.length) s_rd = readln.chomp.split; string res = s_rd[0]; s_rd.popFront; return res.to!T; }
string RDR()() { return readln.chomp; }
T[] ARR(T = long)(in string str, T fix = 0) { auto r = str.split.to!(T[]); r[] += fix; return r; }
T[] RDA(T = long)(T fix = 0) { auto r = readln.chomp.split.to!(T[]); r[] += fix; return r; }
T[][] RDA2(T = long)(size_t n, T[] fix = []) { auto r = new T[][](n); foreach (i; 0..n) { r[i] = readln.chomp.split.to!(T[]); foreach (j, e; fix) r[i][j] += e; } return r; }
size_t[] MAKE_IDX(alias less = "a < b", Range)(Range range) { auto idx = new size_t[](range.length); makeIndex!(less)(range, idx); return idx;}
size_t MIN_POS(alias less = "a < b", Range)(Range range) { auto r = minPos!(less)(range); return range.length - r.length; }

bool inside(T)(T x, T b, T e) { return x >= b && x < e; }
long lcm(long x, long y) { return x * y / gcd(x, y); }

long mod = 10^^9 + 7;
//long mod = 998244353;
//long mod = 1_000_003;
void moda(ref long x, long y) { x = (x + y) % mod; }
void mods(ref long x, long y) { x = ((x + mod) - (y % mod)) % mod; }
void modm(ref long x, long y) { x = (x * y) % mod; }

void main()
{
	auto x = RD;
	auto y = RD;
	auto z = RD;
	auto S0 = RD!char;
	auto t0 = RD;
	auto S1 = RD!char;
	auto t1 = RD;
	
	long ans;
	if (S0 == S1)
	{
		long len, mid;
		if (S0 == 'A')
		{
			len = x;
			mid = min(y, z);
		}
		else if (S0 == 'B')
		{
			len = y;
			mid = min(x, z);
		}
		else
		{
			len = z;
			mid = min(x, y);
		}
		if (t0 > t1)
		{
			swap(t0, t1);
		}
		ans = min(abs(t1 - t0), t0 + mid + len - t1);
	}
	/*else if (S0 == 'B')
	{
		auto len = S1 == 'A' ? x : z;
		ans = min(t0 + t1 - 1, (y - t0) + (len - t1) + 1);
	}
	else if (S1 == 'B')
	{
		auto len = S0 == 'A' ? x : z;
		ans = min(t1 + t0 - 1, (y - t1) + (len - t0) + 1);
	}*/
	else
	{
		long len0, len1, mid;
		if (S0 == 'A')
		{
			len0 = x;
			if (S1 == 'B')
			{
				len1 = y;
				mid  = z;
			}
			else
			{
				len1 = z;
				mid  = y;
			}
		}
		else if (S0 == 'B')
		{
			len0 = y;
			if (S1 == 'A')
			{
				len1 = x;
				mid  = z;
			}
			else
			{
				len1 = z;
				mid  = x;
			}
		}
		else
		{
			len0 = z;
			if (S1 == 'A')
			{
				len1 = x;
				mid  = y;
			}
			else
			{
				len1 = y;
				mid  = x;
			}
		}
		auto ans0 = min(t0 + t1 - 1, (len0 - t0) + (len1 - t1) + 1);
		auto ans1 = min(t0 + mid + (len1 - t1), (len0 - t0) + mid + t1);
		ans = min(ans0, ans1);
	}

	writeln(ans);
	stdout.flush();
	debug readln();
}