#include <iostream>
#include <vector>
#include <algorithm>
using namespace std;

template<class T> inline bool chmax(T& a, T b) { if (a < b) { a = b; return 1; } return 0; }
template<class T> inline bool chmin(T& a, T b) { if (a > b) { a = b; return 1; } return 0; }

#define COUT(x) cout << #x << " = " << (x) << " (L" << __LINE__ << ")" << endl
template<class T1, class T2> ostream& operator << (ostream &s, pair<T1,T2> P)
{ return s << '<' << P.first << ", " << P.second << '>'; }
template<class T> ostream& operator << (ostream &s, vector<T> P)
{ for (int i = 0; i < P.size(); ++i) { if (i > 0) { s << " "; } s << P[i]; } return s; }
template<class T> ostream& operator << (ostream &s, vector<vector<T> > P)
{ for (int i = 0; i < P.size(); ++i) { s << endl << P[i]; } return s << endl; }


template <class Abel> struct BIT {
    const Abel UNITY_SUM = 0;                       // to be set
    vector<Abel> dat;
    
    /* [1, n] */
    BIT(int n) : dat(n + 1, UNITY_SUM) { }
    void init(int n) { dat.assign(n + 1, UNITY_SUM); }
    
    /* a is 1-indexed */
    inline void add(int a, Abel x) {
        for (int i = a; i < (int)dat.size(); i += i & -i)
            dat[i] = dat[i] + x;
    }
    
    /* [1, a], a is 1-indexed */
    inline Abel sum(int a) {
        Abel res = UNITY_SUM;
        for (int i = a; i > 0; i -= i & -i)
            res = res + dat[i];
        return res;
    }
    
    /* [a, b), a and b are 1-indexed */
    inline Abel sum(int a, int b) {
        return sum(b - 1) - sum(a - 1);
    }
    
    /* debug */
    void print() {
        for (int i = 1; i < (int)dat.size(); ++i) cout << sum(i, i + 1) << ",";
        cout << endl;
    }
};

int N;
long long X;
vector<long long> a, s;
vector<int> l2r, r2l;

bool solve() {
    l2r.assign(N+1, -1), r2l.assign(N+1, -1);
    int r = 0;
    for (int l = 0; l < N; ++l) {
        while (r < N && s[r + 1] - s[l] <= X) {
            ++r;
            r2l[r] = l;
        }
        l2r[l] = r;
    }
    //COUT(l2r); COUT(r2l);

    vector<BIT<int> > dp(N+5, BIT<int>(N+5));
    for (int l = 0; l <= N; ++l) dp[l].add(l+1, 1);
    for (int bet = 1; bet <= N; ++bet) {
        for (int l = 0; l+bet <= N; ++l) {
            int r = l+bet;

            /*
            bool win = false;
            for (int l2 = l+1; l2 <= r; ++l2) {
                if (s[l2] - s[l] <= X && gote[r].sum(l2+1, l2+2) == 0) {
                    win = true;
                }
            }
            if (win) sente[l].add(r+1, 1);

            win = false;
            for (int r2 = l; r2 <= r-1; ++r2) {
                if (s[r] - s[r2] <= X && sente[l].sum(r2+1, r2+2) == 0) {
                    win = true;
                }
            }
            if (win) gote[r].add(l+1, 1);
            */
            
            // l+1, ..., min(l2r[l], r) に「負け」があれば OK
            int mi = min(l2r[l], r);
            int tmp = (mi-l) - dp[r].sum(l+2, mi+2);

            //cout << l << ", " << r << ": " << make_pair(l+1, min(l2r[l], r)) << endl;
            
            if (tmp) dp[l].add(r+1, 1);

            // max(l, r2l[r]), ..., r-1 に「負け」があれば OK
            int ma = max(l, r2l[r]);
            tmp = (r-ma) - dp[l].sum(ma+1, r+1);
            if (tmp) dp[r].add(l+1, 1);

            //cout << l << ", " << r << ": " << (dp[l].sum(r+1, r+2) ? "win" : "lose") << endl;
            
        }
    }

    /*
    for (int l = 0; l <= N; ++l) {
        COUT(l);
        cout << "sente: ";
        sente[l].print();
        cout << "gote:  ";
        gote[l].print();
    }
    */
    
    return dp[0].sum(N+1, N+2);
}

int main() {
    while (cin >> N >> X) {
        a.resize(N); s.assign(N+1, 0);
        for (int i = 0; i < N; ++i) cin >> a[i], s[i+1] = s[i] + a[i];
        if (solve()) cout << "A" << endl;
        else cout << "B" << endl;
    }
}