#include <bits/stdc++.h>
#pragma GCC diagnostic ignored "-Wsign-compare"
#pragma GCC diagnostic ignored "-Wsign-conversion"
#define NDEBUG
#define SHOW(...) static_cast<void>(0)
//!===========================================================!//
//!  dP     dP                          dP                    !//
//!  88     88                          88                    !//
//!  88aaaaa88a .d8888b. .d8888b. .d888b88 .d8888b. 88d888b.  !//
//!  88     88  88ooood8 88'  '88 88'  '88 88ooood8 88'  '88  !//
//!  88     88  88.  ... 88.  .88 88.  .88 88.  ... 88        !//
//!  dP     dP  '88888P' '88888P8 '88888P8 '88888P' dP        !//
//!===========================================================!//
template <typename T>
T read()
{
    T v;
    return std::cin >> v, v;
}
template <typename T>
std::vector<T> readVec(const std::size_t l)
{
    std::vector<T> v(l);
    for (auto& e : v) { std::cin >> e; }
    return v;
}
using ld = long double;
using uint = unsigned int;
using ll = long long;
using ull = unsigned long long;
constexpr unsigned int MOD = 1000000007;
template <typename T>
constexpr T INF = std::numeric_limits<T>::max() / 4;
template <typename F>
constexpr F PI = static_cast<F>(3.1415926535897932385);
std::mt19937 mt{std::random_device{}()};
template <typename T>
bool chmin(T& a, const T& b) { return (a > b ? a = b, true : false); }
template <typename T>
bool chmax(T& a, const T& b) { return (a < b ? a = b, true : false); }
template <typename T>
std::vector<T> Vec(const std::size_t n, T v) { return std::vector<T>(n, v); }
template <class... Args>
auto Vec(const std::size_t n, Args... args) { return std::vector<decltype(Vec(args...))>(n, Vec(args...)); }
template <typename T>
constexpr T popCount(const T u)
{
#ifdef __has_builtin
    return u == 0 ? T(0) : (T)__builtin_popcountll(u);
#else
    unsigned long long v = static_cast<unsigned long long>(u);
    return v = (v & 0x5555555555555555ULL) + (v >> 1 & 0x5555555555555555ULL), v = (v & 0x3333333333333333ULL) + (v >> 2 & 0x3333333333333333ULL), v = (v + (v >> 4)) & 0x0F0F0F0F0F0F0F0FULL, static_cast<T>(v * 0x0101010101010101ULL >> 56 & 0x7f);
#endif
}
template <typename T>
constexpr T log2p1(const T u)
{
#ifdef __has_builtin
    return u == 0 ? T(0) : T(64 - __builtin_clzll(u));
#else
    unsigned long long v = static_cast<unsigned long long>(u);
    return v = static_cast<unsigned long long>(v), v |= (v >> 1), v |= (v >> 2), v |= (v >> 4), v |= (v >> 8), v |= (v >> 16), v |= (v >> 32), popCount(v);
#endif
}
template <typename T>
constexpr T clog(const T v) { return v == 0 ? T(0) : log2p1(v - 1); }
template <typename T>
constexpr T msbp1(const T v) { return log2p1(v); }
template <typename T>
constexpr T lsbp1(const T v)
{
#ifdef __has_builtin
    return __builtin_ffsll(v);
#else
    return v == 0 ? T(0) : popCount((v & (-v)) - T(1)) + T(1);
#endif
}
template <typename T>
constexpr bool ispow2(const T v) { return popCount(v) == 1; }
template <typename T>
constexpr T ceil2(const T v) { return v == 0 ? T(1) : T(1) << log2p1(v - 1); }
template <typename T>
constexpr T floor2(const T v) { return v == 0 ? T(0) : T(1) << (log2p1(v) - 1); }
//!=================================================!//
//!   .88888.                             dP        !//
//!  d8'   '88                            88        !//
//!  88        88d888b. .d8888b. 88d888b. 88d888b.  !//
//!  88   YP88 88'  '88 88'  '88 88'  '88 88'  '88  !//
//!  Y8.   .88 88       88.  .88 88.  .88 88    88  !//
//!   '88888'  dP       '88888P8 88Y888P' dP    dP  !//
//!                              88                 !//
//!                              dP                 !//
//!=================================================!//
template <typename Cost>
struct BaseGraph
{
    BaseGraph(const std::size_t v) : V{v}, edge(v), rev_edge(v) {}
    void addEdge(const std::size_t from, const std::size_t to, const Cost cost, const bool bi = false)
    {
        assert(from < V), assert(to < V);
        edge[from].push_back(Edge{to, cost}), rev_edge[to].push_back(Edge(from, cost));
        if (bi) { addEdge(to, from, cost, false); }
    }
    struct Edge
    {
        Edge(const std::size_t to, const Cost cost) : to{to}, cost{cost} {}
        const std::size_t to;
        const Cost cost;
        bool operator<(const Edge& e) const { return cost != e.cost ? cost < e.cost : to < e.to; }
    };
    const std::vector<Edge>& operator[](const std::size_t i) const { return assert(i < V), edge[i]; }
    friend std::ostream& operator<<(std::ostream& os, const BaseGraph& g)
    {
        os << "[\n";
        for (std::size_t i = 0; i < g.V; i++) {
            for (const auto& e : g.edge[i]) { os << i << "->" << e.to << ":" << e.cost << "\n"; }
        }
        return (os << "]\n");
    }
    static std::size_t to(const Edge& e) { return e.to; }
    const std::size_t V;
    std::vector<std::vector<Edge>> edge, rev_edge;
};
template <>
struct BaseGraph<void>
{
    BaseGraph(const std::size_t v) : V{v}, edge(v), rev_edge(v) {}
    void addEdge(const std::size_t from, const std::size_t to, const bool bi = false)
    {
        assert(from < V), assert(to < V);
        edge[from].push_back(to), rev_edge[to].push_back(from);
        if (bi) { addEdge(to, from, false); }
    }
    const std::vector<std::size_t>& operator[](const std::size_t i) const { return assert(i < V), edge[i]; }
    friend std::ostream& operator<<(std::ostream& os, const BaseGraph& g)
    {
        os << "[\n";
        for (std::size_t i = 0; i < g.V; i++) {
            for (const std::size_t to : g.edge[i]) { os << i << "->" << to << "\n"; }
        }
        return (os << "]\n");
    }
    static std::size_t to(const std::size_t e) { return e; }
    const std::size_t V;
    std::vector<std::vector<std::size_t>> edge, rev_edge;
};
using Graph = BaseGraph<void>;
using Tree = Graph;
template <typename Cost>
using CostGraph = BaseGraph<Cost>;
template <typename Cost>
using CostTree = CostGraph<Cost>;
//!==============================================================!//
//!  888888ba  oo oo dP                  dP                      !//
//!  88    '8b       88                  88                      !//
//!  88     88 dP dP 88  .dP  .d8888b. d8888P 88d888b. .d8888b.  !//
//!  88     88 88 88 88888"   Y8ooooo.   88   88'  '88 88'  '88  !//
//!  88    .8P 88 88 88  '8b.       88   88   88       88.  .88  !//
//!  8888888P  dP 88 dP   'YP '88888P'   dP   dP       '88888P8  !//
//!               88                                             !//
//!               dP                                             !//
//!==============================================================!//
template <typename Cost>
std::vector<Cost> Dijkstra(const CostGraph<Cost>& g, const std::size_t s)
{
    std::vector<Cost> d(g.V, std::numeric_limits<Cost>::max());
    using P = std::pair<Cost, std::size_t>;
    std::priority_queue<P, std::vector<P>, std::greater<P>> q;
    d[s] = 0, q.push({0, s});
    while (not q.empty()) {
        const Cost cost = q.top().first;
        const std::size_t v = q.top().second;
        q.pop();
        if (d[v] < cost) { continue; }
        for (const auto& e : g.edge[v]) {
            if (d[e.to] <= d[v] + e.cost) { continue; }
            d[e.to] = d[v] + e.cost, q.push({d[e.to], e.to});
        }
    }
    return d;
}
//!=====================================!//
//!  8888ba.88ba           oo           !//
//!  88  '8b  '8b                       !//
//!  88   88   88 .d8888b. dP 88d888b.  !//
//!  88   88   88 88'  '88 88 88'  '88  !//
//!  88   88   88 88.  .88 88 88    88  !//
//!  dP   dP   dP '88888P8 dP dP    dP  !//
//!=====================================!//
int main()
{
    const ll X = read<ll>(), Y = read<ll>(), Z = read<ll>();
    CostGraph<ll> G(4);
    G.addEdge(0, 1, 2LL * std::min({X, Y, Z}), true);
    char S[2];
    int T[2];
    for (int i = 0; i < 2; i++) {
        std::cin >> S[i] >> T[i];
        G.addEdge(0, 2 + i, 2LL * T[i] - 1, true);
        if (S[i] == 'A') {
            G.addEdge(1, 2 + i, 2LL * X - (2LL * T[i] - 1), true);
        } else if (S[i] == 'B') {
            G.addEdge(1, 2 + i, 2LL * Y - (2LL * T[i] - 1), true);
        } else {
            G.addEdge(1, 2 + i, 2LL * Z - (2LL * T[i] - 1), true);
        }
    }
    if (S[0] == S[1]) { G.addEdge(2, 3, std::abs(T[0] - T[1]) * 2LL, true); }
    std::cout << Dijkstra(G, 2)[3] / 2 << std::endl;
    return 0;
}