#ifndef LOCAL #define FAST_IO #endif #define INT128 // ============ #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #define OVERRIDE(a, b, c, d, ...) d #define REP2(i, n) for (i32 i = 0; i < (i32)(n); ++i) #define REP3(i, m, n) for (i32 i = (i32)(m); i < (i32)(n); ++i) #define REP(...) OVERRIDE(__VA_ARGS__, REP3, REP2)(__VA_ARGS__) #define PER(i, n) for (i32 i = (i32)(n) - 1; i >= 0; --i) #define ALL(x) begin(x), end(x) using namespace std; using u32 = unsigned int; using u64 = unsigned long long; using i32 = signed int; using i64 = signed long long; using f64 = double; using f80 = long double; template using Vec = vector; template bool chmin(T &x, const T &y) { if (x > y) { x = y; return true; } return false; } template bool chmax(T &x, const T &y) { if (x < y) { x = y; return true; } return false; } template Vec> runlength(const Vec &a) { if (a.empty()) { return Vec>(); } Vec> ret; i32 prv = 0; REP(i, 1, a.size()) { if (a[i - 1] != a[i]) { ret.emplace_back(prv, i, a[i - 1]); prv = i; } } ret.emplace_back(prv, (i32)a.size(), a.back()); return ret; } #ifdef INT128 using u128 = __uint128_t; using i128 = __int128_t; istream &operator>>(istream &is, i128 &x) { i64 v; is >> v; x = v; return is; } ostream &operator<<(ostream &os, i128 x) { os << (i64)x; return os; } istream &operator>>(istream &is, u128 &x) { u64 v; is >> v; x = v; return is; } ostream &operator<<(ostream &os, u128 x) { os << (u64)x; return os; } #endif [[maybe_unused]] constexpr i32 INF = 1000000100; [[maybe_unused]] constexpr i64 INF64 = 3000000000000000100; struct SetUpIO { SetUpIO() { #ifdef FAST_IO ios::sync_with_stdio(false); cin.tie(nullptr); #endif cout << fixed << setprecision(15); } } set_up_io; // ============ #ifdef DEBUGF #else #define DBG(x) (void)0 #endif bool bob_win(i32 n, i32 k, i32 t, string s) { if (t == 0) { return s[k] == 'A'; } i32 l = k, r = k + 1; while (l > 0 && s[l - 1] == s[k]) { --l; } while (r < n && s[r] == s[k]) { ++r; } if ((l == 0 || k - l + 1 > t) && (r == n || r - k > t)) { // 今の手番の人が負け return s[k] == 'A'; } if (r - l == 1) { if (t % 2 == 0) { // 今の手番の人が負け return s[k] == 'A'; } else { if (s[k] == 'A') { return (k == 0 || bob_win(n, k - 1, t - 1, s)) && (k == n - 1 || bob_win(n, k + 1, t - 1, s)); } else { return (k != 0 && bob_win(n, k - 1, t - 1, s)) || (k != n - 1 && bob_win(n, k + 1, t - 1, s)); } } } //if ((r - l) % 2 == 0) { bool cur = false; if (l != 0 && (k - l + 1) % 2 == t % 2 && k - l + 1 <= t) { cur = true; } if (r != n && (r - k) % 2 == t % 2 && r - k <= t) { cur = true; } if (cur) { // 今の手番の人が勝ち return s[k] == 'B'; } else { return s[k] == 'A'; } //} /*if ((r - k) % 2 == t % 2) { // 今の手番の人が勝ち return s[k] == 'B'; } else { return s[k] == 'A'; }*/ } int main() { i32 n, k, t; string s; cin >> n >> k >> t >> s; --k; cout << (bob_win(n, k, t, s) ? "Bob" : "Alice") << '\n'; }