using System; using System.Collections.Generic; using System.Linq; using System.IO; using System.Threading; using System.Text; using System.Diagnostics; using static util; using P = pair; using Number = System.Int32; class Program { static void Main(string[] args) { var sw = new StreamWriter(Console.OpenStandardOutput()) { AutoFlush = false }; var solver = new Solver(sw); // var t = new Thread(solver.solve, 1 << 26); // 64 MB // t.Start(); // t.Join(); solver.solve(); sw.Flush(); } } class Solver { StreamWriter sw; Scan sc; void Prt(string a) => sw.WriteLine(a); void Prt(IEnumerable a) => Prt(string.Join(" ", a)); void Prt(params object[] a) => Prt(string.Join(" ", a)); public Solver(StreamWriter sw) { this.sw = sw; this.sc = new Scan(); } public void solve() { int n, x; sc.Multi(out n, out x); var a = sc.IntArr; Prt(solve2(n, x, a) ? 'A' : 'B'); } bool solve1(int n, int x, int[] a) { var dp = new bool[n][]; for (int i = 0; i < n; i++) { dp[i] = new bool[n + 1]; dp[i][i] = true; } for (int d = 2; d <= n; d++) { for (int l = 0; l + d <= n; l++) { int r = l + d; for (int i = l, sum = 0; i < r; i++) { sum += a[i]; if (sum > x) break; if (!dp[i + 1][r]) { dp[l][r] = true; break; } } for (int i = r - 1, sum = 0; i >= l ; i--) { sum += a[i]; if (sum > x) break; if (!dp[l][i]) { dp[l][r] = true; break; } } } } // for (int i = 0; i < n; i++) // { // DBG(dp[i]); // } return dp[0][n]; } bool solve2(int n, int x, int[] a) { var liml = new int[n]; var limr = new int[n]; var bitl = new BIT[n]; var bitr = new BIT[n]; for (int i = 0; i < n; i++) { bitl[i] = new BIT(n - i); bitr[i] = new BIT(i + 1); for (int j = i, sum = 0; j < n; j++) { sum += a[j]; if (sum <= x) { limr[i] = j; } else break; } for (int j = i, sum = 0; j >= 0 ; j--) { sum += a[j]; if (sum <= x) { liml[i] = j; } else break; } } for (int d = 0; d < n; d++) { for (int l = 0; l + d < n; l++) { int r = l + d; if (bitr[r].sum(l, Math.Min(limr[l] + 1, r) + 1) + bitl[l].sum(Math.Max(liml[r] - 1, l) - l, r + 1 - l) == 0) { // DBG(l, r, "False"); bitl[l].add(r - l, 1); bitr[r].add(l, 1); } } } return bitr[n - 1].sum(1) == 0; } } class pair : IComparable> { public T v1; public U v2; public pair() : this(default(T), default(U)) {} public pair(T v1, U v2) { this.v1 = v1; this.v2 = v2; } public int CompareTo(pair a) { int c = Comparer.Default.Compare(v1, a.v1); return c != 0 ? c : Comparer.Default.Compare(v2, a.v2); } public override string ToString() => v1 + " " + v2; public void Deconstruct(out T a, out U b) { a = v1; b = v2; } } static class util { public static readonly int M = 1000000007; // public static readonly int M = 998244353; public static readonly long LM = 1L << 60; public static readonly double eps = 1e-11; public static void DBG(string a) => Console.Error.WriteLine(a); public static void DBG(IEnumerable a) => DBG(string.Join(" ", a)); public static void DBG(params object[] a) => DBG(string.Join(" ", a)); public static void Assert(bool cond) { if (!cond) throw new Exception(); } public static pair make_pair(T v1, U v2) => new pair(v1, v2); public static int CompareList(IList a, IList b) where T : IComparable { for (int i = 0; i < a.Count && i < b.Count; i++) if (a[i].CompareTo(b[i]) != 0) return a[i].CompareTo(b[i]); return a.Count.CompareTo(b.Count); } public static bool inside(int i, int j, int h, int w) => i >= 0 && i < h && j >= 0 && j < w; static readonly int[] dd = { 0, 1, 0, -1 }; // static readonly string dstring = "RDLU"; public static P[] adjacents(int i, int j) => Enumerable.Range(0, dd.Length).Select(k => new P(i + dd[k], j + dd[k ^ 1])).ToArray(); public static P[] adjacents(int i, int j, int h, int w) => Enumerable.Range(0, dd.Length).Select(k => new P(i + dd[k], j + dd[k ^ 1])) .Where(p => inside(p.v1, p.v2, h, w)).ToArray(); public static P[] adjacents(this P p) => adjacents(p.v1, p.v2); public static P[] adjacents(this P p, int h, int w) => adjacents(p.v1, p.v2, h, w); public static Dictionary compress(this IEnumerable a) => a.Distinct().OrderBy(v => v).Select((v, i) => new { v, i }).ToDictionary(p => p.v, p => p.i); public static Dictionary compress(params IEnumerable[] a) => compress(a.Aggregate(Enumerable.Union)); public static T[] inv(this Dictionary dic) { var res = new T[dic.Count]; foreach (var item in dic) res[item.Value] = item.Key; return res; } public static void swap(ref T a, ref T b) where T : struct { var t = a; a = b; b = t; } public static void swap(this IList a, int i, int j) where T : struct { var t = a[i]; a[i] = a[j]; a[j] = t; } public static T[] copy(this IList a) { var ret = new T[a.Count]; for (int i = 0; i < a.Count; i++) ret[i] = a[i]; return ret; } } class Scan { StreamReader sr; public Scan() { sr = new StreamReader(Console.OpenStandardInput()); } public Scan(string path) { sr = new StreamReader(path); } public int Int => int.Parse(Str); public long Long => long.Parse(Str); public double Double => double.Parse(Str); public string Str => sr.ReadLine().Trim(); public pair Pair() { T a; U b; Multi(out a, out b); return new pair(a, b); } public P P => Pair(); public int[] IntArr => StrArr.Select(int.Parse).ToArray(); public long[] LongArr => StrArr.Select(long.Parse).ToArray(); public double[] DoubleArr => StrArr.Select(double.Parse).ToArray(); public string[] StrArr => Str.Split(new[]{' '}, StringSplitOptions.RemoveEmptyEntries); bool eq() => typeof(T).Equals(typeof(U)); T ct(U a) => (T)Convert.ChangeType(a, typeof(T)); T cv(string s) => eq() ? ct(int.Parse(s)) : eq() ? ct(long.Parse(s)) : eq() ? ct(double.Parse(s)) : eq() ? ct(s[0]) : ct(s); public void Multi(out T a) => a = cv(Str); public void Multi(out T a, out U b) { var ar = StrArr; a = cv(ar[0]); b = cv(ar[1]); } public void Multi(out T a, out U b, out V c) { var ar = StrArr; a = cv(ar[0]); b = cv(ar[1]); c = cv(ar[2]); } public void Multi(out T a, out U b, out V c, out W d) { var ar = StrArr; a = cv(ar[0]); b = cv(ar[1]); c = cv(ar[2]); d = cv(ar[3]); } public void Multi(out T a, out U b, out V c, out W d, out X e) { var ar = StrArr; a = cv(ar[0]); b = cv(ar[1]); c = cv(ar[2]); d = cv(ar[3]); e = cv(ar[4]); } } class BIT { int n; Number[] bit; public BIT(int n) { this.n = n; bit = new Number[n]; } public void add(int j, Number w) { for (int i = j; i < n; i |= i + 1) bit[i] += w; } public Number at(int j) => sum(j, j + 1); // [0, j) public Number sum(int j) { Number ret = 0; for (int i = j - 1; i >= 0; i = (i & i + 1) - 1) ret += bit[i]; return ret; } // [j, k) public Number sum(int j, int k) => sum(k) - sum(j); }