#line 1 "test.cpp" //#pragma GCC target("avx,avx2") //#pragma GCC optimize("O3") //#pragma GCC optimize("unroll-loops") #include #ifdef LOCAL #include #define debug(...) debug_print::multi_print(#__VA_ARGS__, __VA_ARGS__) #else #define debug(...) (static_cast(0)) #endif using namespace std; using ll = long long; using ld = long double; using pll = pair; using pii = pair; using vi = vector; using vvi = vector; using vvvi = vector; using vl = vector; using vvl = vector; using vvvl = vector; using vpii = vector; using vpll = vector; using vs = vector; template using pq = priority_queue, greater>; #define overload4(_1, _2, _3, _4, name, ...) name #define overload3(a,b,c,name,...) name #define rep1(n) for (ll UNUSED_NUMBER = 0; UNUSED_NUMBER < (n); ++UNUSED_NUMBER) #define rep2(i, n) for (ll i = 0; i < (n); ++i) #define rep3(i, a, b) for (ll i = (a); i < (b); ++i) #define rep4(i, a, b, c) for (ll i = (a); i < (b); i += (c)) #define rep(...) overload4(__VA_ARGS__, rep4, rep3, rep2, rep1)(__VA_ARGS__) #define rrep1(n) for(ll i = (n) - 1;i >= 0;i--) #define rrep2(i,n) for(ll i = (n) - 1;i >= 0;i--) #define rrep3(i,a,b) for(ll i = (b) - 1;i >= (a);i--) #define rrep4(i,a,b,c) for(ll i = (a) + ((b)-(a)-1) / (c) * (c);i >= (a);i -= c) #define rrep(...) overload4(__VA_ARGS__, rrep4, rrep3, rrep2, rrep1)(__VA_ARGS__) #define all1(i) begin(i) , end(i) #define all2(i,a) begin(i) , begin(i) + a #define all3(i,a,b) begin(i) + a , begin(i) + b #define all(...) overload3(__VA_ARGS__, all3, all2, all1)(__VA_ARGS__) #define sum(...) accumulate(all(__VA_ARGS__),0LL) template bool chmin(T &a, const T &b){ if(a > b){ a = b; return 1; } else return 0; } template bool chmax(T &a, const T &b){ if(a < b){ a = b; return 1; } else return 0; } template auto min(const T& a){ return *min_element(all(a)); } template auto max(const T& a){ return *max_element(all(a)); } template void in(Ts&... t); #define INT(...) int __VA_ARGS__; in(__VA_ARGS__) #define LL(...) ll __VA_ARGS__; in(__VA_ARGS__) #define STR(...) string __VA_ARGS__; in(__VA_ARGS__) #define CHR(...) char __VA_ARGS__; in(__VA_ARGS__) #define DBL(...) double __VA_ARGS__; in(__VA_ARGS__) #define LD(...) ld __VA_ARGS__; in(__VA_ARGS__) #define VEC(type, name, size) vector name(size); in(name) #define VV(type, name, h, w) vector> name(h, vector(w)); in(name) ll intpow(ll a, ll b){ ll ans = 1; while(b){if(b & 1) ans *= a; a *= a; b /= 2;} return ans;} ll modpow(ll a, ll b, ll p){ ll ans = 1; a %= p;if(a < 0) a += p;while(b){ if(b & 1) (ans *= a) %= p; (a *= a) %= p; b /= 2; } return ans; } ll GCD(ll a,ll b) { if(a == 0 || b == 0) return 0; if(a % b == 0) return b; else return GCD(b,a%b);} ll LCM(ll a,ll b) { if(a == 0) return b; if(b == 0) return a;return a / GCD(a,b) * b;} namespace IO{ #define VOID(a) decltype(void(a)) struct setting{ setting(){cin.tie(nullptr); ios::sync_with_stdio(false);fixed(cout); cout.precision(15);}} setting; template struct P : P{}; template<> struct P<0>{}; template void i(T& t){ i(t, P<3>{}); } void i(vector::reference t, P<3>){ int a; i(a); t = a; } template auto i(T& t, P<2>) -> VOID(cin >> t){ cin >> t; } template auto i(T& t, P<1>) -> VOID(begin(t)){ for(auto&& x : t) i(x); } template void ituple(T& t, index_sequence){ in(get(t)...);} template auto i(T& t, P<0>) -> VOID(tuple_size{}){ ituple(t, make_index_sequence::value>{});} #undef VOID } #define unpack(a) (void)initializer_list{(a, 0)...} template void in(Ts&... t){ unpack(IO :: i(t)); } #undef unpack static const double PI = 3.1415926535897932; template struct REC { F f; REC(F &&f_) : f(forward(f_)) {} template auto operator()(Args &&...args) const { return f(*this, forward(args)...); }}; //constexpr int mod = 1000000007; constexpr int mod = 998244353; #line 1 "library/data-structure/unionfind.hpp" struct unionfind { public: unionfind() : _n(0) {} explicit unionfind(int n) : _n(n), parent_or_size(n, -1) {} int merge(int a, int b) { assert(0 <= a && a < _n); assert(0 <= b && b < _n); int x = find(a), y = find(b); if (x == y) return x; if (-parent_or_size[x] < -parent_or_size[y]) swap(x, y); parent_or_size[x] += parent_or_size[y]; parent_or_size[y] = x; return x; } bool same(int a, int b) { assert(0 <= a && a < _n); assert(0 <= b && b < _n); return find(a) == find(b); } int find(int a) { assert(0 <= a && a < _n); if (parent_or_size[a] < 0) return a; return parent_or_size[a] = find(parent_or_size[a]); } int size(int a) { assert(0 <= a && a < _n); return -parent_or_size[find(a)]; } vector> groups() { vector leader_buf(_n), group_size(_n); for (int i = 0; i < _n; i++) { leader_buf[i] = find(i); group_size[leader_buf[i]]++; } vector> result(_n); for (int i = 0; i < _n; i++) { result[i].reserve(group_size[i]); } for (int i = 0; i < _n; i++) { result[leader_buf[i]].push_back(i); } result.erase( remove_if(result.begin(), result.end(), [&](const vector& v) { return v.empty(); }), result.end()); return result; } private: int _n; // root node: -1 * component size // otherwise: parent vector parent_or_size; }; #line 87 "test.cpp" int main() { INT(n,k,t); STR(s); k--; unionfind uf(n); rep(i,1,n) if(s[i] == s[i-1]) uf.merge(i,i-1); int L = max(0,k-t); int R = min(n-1,k+t); if(uf.same(L,k) && uf.same(R,k)) { if(s[k] == 'A') cout << "Bob\n"; else cout << "Alice\n"; } else { vector> rle; int L = 0; char now = s[0]; rep(i,n) { if(s[i] != now) { rle.emplace_back(make_pair(now,pii{L,i})); L = i; now = s[i]; } } rle.emplace_back(make_pair(now,pii{L,n})); debug(rle); rep(i,rle.size()) { if(rle[i].second.first <= k && rle[i].second.second > k) { auto [l,r] = rle[i].second; if(r - l == 1) { debug(r,l); int flg = 0; if(i > 0) { auto [prl,prr] = rle[i-1].second; if((prr - prl) % 2) { if(t % 2) flg |= 1; } else if(t % 2 && prr - prl > t - 1) flg |= 1; } if(i < (int)rle.size() - 1) { auto [nel,ner] = rle[i+1].second; if((ner - nel) % 2) { if(t % 2) flg |= 1; } else if(t % 2 && ner - nel > t - 1) flg |= 1; } debug(flg); if(flg) { if(s[k] == 'A') cout << "Alice\n"; else cout << "Bob\n"; } else { if(s[k] == 'A') cout << "Bob\n"; else cout << "Alice\n"; } } else { int flg = 0; int Lt = k - l + 1; int Rt = r - k; if(Lt <= t && (t - Lt) % 2 == 0) flg = 1; if(Rt <= t && (t - Rt) % 2 == 0) flg = 1; if(flg) { if(s[k] == 'A') cout << "Alice\n"; else cout << "Bob\n"; } else { if(s[k] == 'A') cout << "Bob\n"; else cout << "Alice\n"; } } } } } }