using System; using System.Collections.Generic; using System.IO; using System.Linq; using static System.Math; using System.Text; using System.Threading; namespace Program { public static class YUKICODER1 { static public int numberOfRandomCases = 0; static public void MakeTestCase(List _input, List _output, ref Func _outputChecker) { } static public void Solve() { var N = NN; var K = NN; var AList = NNList(N); var grundy = AList.Select(e => e % (K + 1)).ToList(); if (grundy.Aggregate((e, acc) => e ^ acc) == 0) { Console.WriteLine("NO"); } else { Console.WriteLine("YES"); } } static public void Main(string[] args) { if (args.Length == 0) { var sw = new StreamWriter(Console.OpenStandardOutput()) { AutoFlush = false }; Console.SetOut(sw); } var t = new Thread(Solve, 134217728); t.Start(); t.Join(); Console.Out.Flush(); } static class Console_ { static Queue param = new Queue(); public static string NextString() { if (param.Count == 0) foreach (var item in Console.ReadLine().Split(' ')) param.Enqueue(item); return param.Dequeue(); } } static long NN => long.Parse(Console_.NextString()); static double ND => double.Parse(Console_.NextString()); static string NS => Console_.NextString(); static long[] NNList(long N) => Repeat(0, N).Select(_ => NN).ToArray(); static double[] NDList(long N) => Repeat(0, N).Select(_ => ND).ToArray(); static string[] NSList(long N) => Repeat(0, N).Select(_ => NS).ToArray(); static IEnumerable OrderByRand(this IEnumerable x) => x.OrderBy(_ => xorshift); static IEnumerable Repeat(T v, long n) => Enumerable.Repeat(v, (int)n); static IEnumerable Range(long s, long c) => Enumerable.Range((int)s, (int)c); static void RevSort(T[] l) where T : IComparable { Array.Sort(l, (x, y) => y.CompareTo(x)); } static void RevSort(T[] l, Comparison comp) where T : IComparable { Array.Sort(l, (x, y) => comp(y, x)); } static IEnumerable Primes(long x) { if (x < 2) yield break; yield return 2; var halfx = x / 2; var table = new bool[halfx + 1]; var max = (long)(Math.Sqrt(x) / 2); for (long i = 1; i <= max; ++i) { if (table[i]) continue; var add = 2 * i + 1; yield return add; for (long j = 2 * i * (i + 1); j <= halfx; j += add) table[j] = true; } for (long i = max + 1; i <= halfx; ++i) if (!table[i] && 2 * i + 1 <= x) yield return 2 * i + 1; } static IEnumerable Factors(long x) { if (x < 2) yield break; while (x % 2 == 0) { x /= 2; yield return 2; } var max = (long)Math.Sqrt(x); for (long i = 3; i <= max; i += 2) while (x % i == 0) { x /= i; yield return i; } if (x != 1) yield return x; } static IEnumerable Divisor(long x) { if (x < 1) yield break; var max = (long)Math.Sqrt(x); for (long i = 1; i <= max; ++i) { if (x % i != 0) continue; yield return i; if (i != x / i) yield return x / i; } } static uint xorshift { get { _xsi.MoveNext(); return _xsi.Current; } } static IEnumerator _xsi = _xsc(); static IEnumerator _xsc() { uint x = 123456789, y = 362436069, z = 521288629, w = (uint)(DateTime.Now.Ticks & 0xffffffff); while (true) { var t = x ^ (x << 11); x = y; y = z; z = w; w = (w ^ (w >> 19)) ^ (t ^ (t >> 8)); yield return w; } } static long GCD(long a, long b) { while (b > 0) { var tmp = b; b = a % b; a = tmp; } return a; } static long LCM(long a, long b) => a * b / GCD(a, b); static Mat Pow(Mat x, long y) => Mat.Pow(x, y); static Mod Pow(Mod x, long y) { Mod a = 1; while (y != 0) { if ((y & 1) == 1) a.Mul(x); x.Mul(x); y >>= 1; } return a; } static long Pow(long x, long y) { long a = 1; while (y != 0) { if ((y & 1) == 1) a *= x; x *= x; y >>= 1; } return a; } static List _fact = new List() { 1 }; static void _B(long n) { if (n >= _fact.Count) for (int i = _fact.Count; i <= n; ++i) _fact.Add(_fact[i - 1] * i); } static long Comb(long n, long k) { _B(n); if (n == 0 && k == 0) return 1; if (n < k || n < 0) return 0; return _fact[(int)n] / _fact[(int)(n - k)] / _fact[(int)k]; } static long Perm(long n, long k) { _B(n); if (n == 0 && k == 0) return 1; if (n < k || n < 0) return 0; return _fact[(int)n] / _fact[(int)(n - k)]; } static Func Lambda(Func, TR> f) { Func t = () => default(TR); return t = () => f(t); } static Func Lambda(Func, TR> f) { Func t = x1 => default(TR); return t = x1 => f(x1, t); } static Func Lambda(Func, TR> f) { Func t = (x1, x2) => default(TR); return t = (x1, x2) => f(x1, x2, t); } static Func Lambda(Func, TR> f) { Func t = (x1, x2, x3) => default(TR); return t = (x1, x2, x3) => f(x1, x2, x3, t); } static Func Lambda(Func, TR> f) { Func t = (x1, x2, x3, x4) => default(TR); return t = (x1, x2, x3, x4) => f(x1, x2, x3, x4, t); } static List LCS(T[] s, T[] t) where T : IEquatable { int sl = s.Length, tl = t.Length; var dp = new int[sl + 1, tl + 1]; for (var i = 0; i < sl; i++) for (var j = 0; j < tl; j++) dp[i + 1, j + 1] = s[i].Equals(t[j]) ? dp[i, j] + 1 : Max(dp[i + 1, j], dp[i, j + 1]); { var r = new List(); int i = sl, j = tl; while (i > 0 && j > 0) if (s[--i].Equals(t[--j])) r.Add(s[i]); else if (dp[i, j + 1] > dp[i + 1, j]) ++j; else ++i; r.Reverse(); return r; } } static long LIS(T[] array, bool strict) { var l = new List(); foreach (var e in array) { var i = l.BinarySearch(e); if (i < 0) i = ~i; else if (!strict) ++i; if (i == l.Count) l.Add(e); else l[i] = e; } return l.Count; } class PQ where T : IComparable { List h; Comparison c; public T Peek => h[0]; public int Count => h.Count; public PQ(int cap, Comparison c, bool asc = true) { h = new List(cap); this.c = asc ? c : (x, y) => c(y, x); } public PQ(Comparison c, bool asc = true) { h = new List(); this.c = asc ? c : (x, y) => c(y, x); } public PQ(int cap, bool asc = true) : this(cap, (x, y) => x.CompareTo(y), asc) { } public PQ(bool asc = true) : this((x, y) => x.CompareTo(y), asc) { } public void Push(T v) { var i = h.Count; h.Add(v); while (i > 0) { var ni = (i - 1) / 2; if (c(v, h[ni]) >= 0) break; h[i] = h[ni]; i = ni; } h[i] = v; } public T Pop() { var r = h[0]; var v = h[h.Count - 1]; h.RemoveAt(h.Count - 1); if (h.Count == 0) return r; var i = 0; while (i * 2 + 1 < h.Count) { var i1 = i * 2 + 1; var i2 = i * 2 + 2; if (i2 < h.Count && c(h[i1], h[i2]) > 0) i1 = i2; if (c(v, h[i1]) <= 0) break; h[i] = h[i1]; i = i1; } h[i] = v; return r; } } class PQ where TK : IComparable { PQ> q; public Tuple Peek => q.Peek; public int Count => q.Count; public PQ(int cap, Comparison c, bool asc = true) { q = new PQ>(cap, (x, y) => c(x.Item1, y.Item1), asc); } public PQ(Comparison c, bool asc = true) { q = new PQ>((x, y) => c(x.Item1, y.Item1), asc); } public PQ(int cap, bool asc = true) : this(cap, (x, y) => x.CompareTo(y), asc) { } public PQ(bool asc = true) : this((x, y) => x.CompareTo(y), asc) { } public void Push(TK k, TV v) => q.Push(Tuple.Create(k, v)); public Tuple Pop() => q.Pop(); } public class UF { long[] d; public UF(long s) { d = Repeat(-1L, s).ToArray(); } public bool Unite(long x, long y) { x = Root(x); y = Root(y); if (x != y) { if (d[y] < d[x]) { var t = y; y = x; x = t; } d[x] += d[y]; d[y] = x; } return x != y; } public bool IsSame(long x, long y) => Root(x) == Root(y); public long Root(long x) => d[x] < 0 ? x : d[x] = Root(d[x]); public long Count(long x) => -d[Root(x)]; } struct Mod : IEquatable, IEquatable { static public long _mod = 1000000007; long v; public Mod(long x) { if (x < _mod && x >= 0) v = x; else if ((v = x % _mod) < 0) v += _mod; } static public implicit operator Mod(long x) => new Mod(x); static public implicit operator long(Mod x) => x.v; public void Add(Mod x) { if ((v += x.v) >= _mod) v -= _mod; } public void Sub(Mod x) { if ((v -= x.v) < 0) v += _mod; } public void Mul(Mod x) => v = (v * x.v) % _mod; public void Div(Mod x) => v = (v * Inverse(x.v)) % _mod; static public Mod operator +(Mod x, Mod y) { var t = x.v + y.v; return t >= _mod ? new Mod { v = t - _mod } : new Mod { v = t }; } static public Mod operator -(Mod x, Mod y) { var t = x.v - y.v; return t < 0 ? new Mod { v = t + _mod } : new Mod { v = t }; } static public Mod operator *(Mod x, Mod y) => x.v * y.v; static public Mod operator /(Mod x, Mod y) => x.v * Inverse(y.v); static public bool operator ==(Mod x, Mod y) => x.v == y.v; static public bool operator !=(Mod x, Mod y) => x.v != y.v; static public long Inverse(long x) { long b = _mod, r = 1, u = 0, t = 0; while (b > 0) { var q = x / b; t = u; u = r - q * u; r = t; t = b; b = x - q * b; x = t; } return r < 0 ? r + _mod : r; } public bool Equals(Mod x) => v == x.v; public bool Equals(long x) => v == x; public override bool Equals(object x) => x == null ? false : Equals((Mod)x); public override int GetHashCode() => v.GetHashCode(); public override string ToString() => v.ToString(); static List _fact = new List() { 1 }; static void B(long n) { if (n >= _fact.Count) for (int i = _fact.Count; i <= n; ++i) _fact.Add(_fact[i - 1] * i); } static public Mod Comb(long n, long k) { B(n); if (n == 0 && k == 0) return 1; if (n < k || n < 0) return 0; return _fact[(int)n] / _fact[(int)(n - k)] / _fact[(int)k]; } static public Mod Perm(long n, long k) { B(n); if (n == 0 && k == 0) return 1; if (n < k || n < 0) return 0; return _fact[(int)n] / _fact[(int)(n - k)]; } } struct Mat { T[,] m; public Mat(T[,] v) { m = (T[,])v.Clone(); } static public implicit operator Mat(T[,] v) => new Mat(v); public T this[int r, int c] { get { return m[r, c]; } set { m[r, c] = value; } } static public Mat operator +(Mat a, T x) { var tm = (T[,])a.m.Clone(); for (int r = 0; r < tm.GetLength(0); ++r) for (int c = 0; c < tm.GetLength(1); ++c) tm[r, c] += (dynamic)x; return tm; } static public Mat operator +(Mat a, Mat b) { var tm = (T[,])a.m.Clone(); for (int r = 0; r < tm.GetLength(0); ++r) for (int c = 0; c < tm.GetLength(1); ++c) tm[r, c] += (dynamic)b[r, c]; return tm; } static public Mat operator -(Mat a, T x) { var tm = (T[,])a.m.Clone(); for (int r = 0; r < tm.GetLength(0); ++r) for (int c = 0; c < tm.GetLength(1); ++c) tm[r, c] -= (dynamic)x; return tm; } static public Mat operator -(Mat a, Mat b) { var tm = (T[,])a.m.Clone(); for (int r = 0; r < tm.GetLength(0); ++r) for (int c = 0; c < tm.GetLength(1); ++c) tm[r, c] -= (dynamic)b[r, c]; return tm; } static public Mat operator *(Mat a, T x) { var tm = (T[,])a.m.Clone(); for (int r = 0; r < tm.GetLength(0); ++r) for (int c = 0; c < tm.GetLength(1); ++c) tm[r, c] *= (dynamic)x; return tm; } static public Mat operator *(Mat a, Mat b) { var nr = a.m.GetLength(0); var nc = b.m.GetLength(1); var tm = new T[nr, nc]; for (int i = 0; i < nr; ++i) for (int j = 0; j < nc; ++j) tm[i, j] = (dynamic)0; for (int r = 0; r < nr; ++r) for (int c = 0; c < nc; ++c) for (int i = 0; i < a.m.GetLength(1); ++i) tm[r, c] += a[r, i] * (dynamic)b[i, c]; return tm; } static public Mat Pow(Mat x, long y) { var n = x.m.GetLength(0); var t = (Mat)new T[n, n]; for (int i = 0; i < n; ++i) for (int j = 0; j < n; ++j) t[i, j] = (dynamic)(i == j ? 1 : 0); while (y != 0) { if ((y & 1) == 1) t *= x; x *= x; y >>= 1; } return t; } } class Tree { long N; int l; List[] p; int[] d; long[][] pr; long r; Tuple[] e; Tuple[] b; bool lca; bool euler; bool bfs; public Tree(List[] p_, long r_) { N = p_.Length; p = p_; r = r_; lca = false; euler = false; } public Tuple[] BFSRoot() { if (!bfs) { var nb = new List>(); var q = new Queue(); var d = new bool[N]; nb.Add(Tuple.Create(r, -1L)); d[r] = true; q.Enqueue(r); while (q.Count > 0) { var w = q.Dequeue(); foreach (var i in p[w]) { if (d[i]) continue; d[i] = true; q.Enqueue(i); nb.Add(Tuple.Create(i, w)); } } b = nb.ToArray(); bfs = true; } return b; } public Tuple[] BFSLeaf() => BFSRoot().Reverse().ToArray(); public Tuple[] Euler() { if (!euler) { var ne = new List>(); var s = new Stack>(); var d = new bool[N]; d[r] = true; s.Push(Tuple.Create(r, -1L)); while (s.Count > 0) { var w = s.Peek(); var ad = true; foreach (var i in p[w.Item1]) { if (d[i]) continue; d[i] = true; ad = false; s.Push(Tuple.Create(i, w.Item1)); } if (!ad || p[w.Item1].Count == 1) ne.Add(Tuple.Create(w.Item1, w.Item2, 1)); if (ad) { s.Pop(); ne.Add(Tuple.Create(w.Item1, w.Item2, -1)); } } e = ne.ToArray(); euler = true; } return e; } public long LCA(long u, long v) { if (!lca) { l = 0; while (N > (1 << l)) l++; d = new int[N]; pr = Repeat(0, l).Select(_ => new long[N]).ToArray(); d[r] = 0; pr[0][r] = -1; var q = new Stack(); q.Push(r); while (q.Count > 0) { var w = q.Pop(); foreach (var i in p[w]) { if (i == pr[0][w]) continue; q.Push(i); d[i] = d[w] + 1; pr[0][i] = w; } } for (var k = 0; k + 1 < l; k++) for (var w = 0; w < N; w++) if (pr[k][w] < 0) pr[k + 1][w] = -1; else pr[k + 1][w] = pr[k][pr[k][w]]; lca = true; } if (d[u] > d[v]) { var t = u; u = v; v = t; } for (var k = 0; k < l; k++) if ((((d[v] - d[u]) >> k) & 1) != 0) v = pr[k][v]; if (u == v) return u; for (var k = l - 1; k >= 0; k--) if (pr[k][u] != pr[k][v]) { u = pr[k][u]; v = pr[k][v]; } return pr[0][u]; } } class Graph { int n; List> pathList; Dictionary[] vtxPath; long INF = (long.MaxValue >> 1) - 1; public Graph(long _n) { n = (int)_n; pathList = new List>(); vtxPath = Repeat(0, n).Select(_ => new Dictionary()).ToArray(); } public void AddPath(long a, long b, long c) { pathList.Add(Tuple.Create((int)a, (int)b, c)); vtxPath[a][(int)b] = vtxPath[a].ContainsKey((int)b) ? Min(vtxPath[a][(int)b], c) : c; } public long[,] WarshallFloyd() { var ret = new long[n, n]; for (var i = 0; i < n; i++) for (var j = 0; j < n; j++) ret[i, j] = vtxPath[i].ContainsKey(j) ? vtxPath[i][j] : INF; for (var k = 0; k < n; k++) for (var i = 0; i < n; i++) for (var j = 0; j < n; j++) ret[i, j] = Min(ret[i, j], ret[i, k] + ret[k, j]); return ret; } public Tuple BellmanFord(long s) { var dist = Repeat(INF, n).ToArray(); var pred = new int?[n]; var neg = new bool[n]; dist[s] = 0; for (var i = 1; i < n; i++) foreach (var path in pathList) if (dist[path.Item2] > (dist[path.Item1] == INF ? INF : dist[path.Item1] + path.Item3)) { dist[path.Item2] = dist[path.Item1] + path.Item3; pred[path.Item2] = path.Item1; } for (var i = 0; i < n; i++) foreach (var path in pathList) if (dist[path.Item2] > (dist[path.Item1] == INF ? INF : dist[path.Item1] + path.Item3) || neg[path.Item1]) { dist[path.Item2] = dist[path.Item1] + path.Item3; neg[path.Item2] = true; } return Tuple.Create(dist, pred, neg); } public Tuple Dijkstra(long s) { var dist = Repeat(long.MaxValue >> 2, n).ToArray(); var pred = new int?[n]; dist[s] = 0; var q = new PQ(); q.Push(0, (int)s); while (q.Count > 0) { var u = q.Pop().Item2; foreach (var path in vtxPath[u]) { var v = path.Key; var alt = dist[u] + path.Value; if (dist[v] > alt) { dist[v] = alt; pred[v] = u; q.Push(alt, v); } } } return Tuple.Create(dist, pred); } } class BT where T : IComparable { class Node { public Node l; public Node r; public T v; public bool b; public int c; } Comparison c; Node r; bool ch; T lm; public BT(Comparison _c) { c = _c; } public BT() : this((x, y) => x.CompareTo(y)) { } bool R(Node n) => n != null && !n.b; bool B(Node n) => n != null && n.b; long C(Node n) => n?.c ?? 0; Node RtL(Node n) { Node m = n.r, t = m.l; m.l = n; n.r = t; n.c -= m.c - (t?.c ?? 0); m.c += n.c - (t?.c ?? 0); return m; } Node RtR(Node n) { Node m = n.l, t = m.r; m.r = n; n.l = t; n.c -= m.c - (t?.c ?? 0); m.c += n.c - (t?.c ?? 0); return m; } Node RtLR(Node n) { n.l = RtL(n.l); return RtR(n); } Node RtRL(Node n) { n.r = RtR(n.r); return RtL(n); } public void Add(T x) { r = A(r, x); r.b = true; } Node A(Node n, T x) { if (n == null) { ch = true; return new Node() { v = x, c = 1 }; } if (c(x, n.v) < 0) n.l = A(n.l, x); else n.r = A(n.r, x); n.c++; return Bl(n); } Node Bl(Node n) { if (!ch) return n; if (!B(n)) return n; if (R(n.l) && R(n.l.l)) { n = RtR(n); n.l.b = true; } else if (R(n.l) && R(n.l.r)) { n = RtLR(n); n.l.b = true; } else if (R(n.r) && R(n.r.l)) { n = RtRL(n); n.r.b = true; } else if (R(n.r) && R(n.r.r)) { n = RtL(n); n.r.b = true; } else ch = false; return n; } public void Remove(T x) { r = Rm(r, x); if (r != null) r.b = true; } Node Rm(Node n, T x) { if (n == null) { ch = false; return n; } n.c--; var r = c(x, n.v); if (r < 0) { n.l = Rm(n.l, x); return BlL(n); } if (r > 0) { n.r = Rm(n.r, x); return BlR(n); } if (n.l == null) { ch = n.b; return n.r; } n.l = RmM(n.l); n.v = lm; return BlL(n); } Node RmM(Node n) { n.c--; if (n.r != null) { n.r = RmM(n.r); return BlR(n); } lm = n.v; ch = n.b; return n.l; } Node BlL(Node n) { if (!ch) return n; if (B(n.r) && R(n.r.l)) { var b = n.b; n = RtRL(n); n.b = b; n.l.b = true; ch = false; } else if (B(n.r) && R(n.r.r)) { var b = n.b; n = RtL(n); n.b = b; n.r.b = true; n.l.b = true; ch = false; } else if (B(n.r)) { ch = n.b; n.b = true; n.r.b = false; } else { n = RtL(n); n.b = true; n.l.b = false; n.l = BlL(n.l); ch = false; } return n; } Node BlR(Node n) { if (!ch) return n; if (B(n.l) && R(n.l.r)) { var b = n.b; n = RtLR(n); n.b = b; n.r.b = true; ch = false; } else if (B(n.l) && R(n.l.l)) { var b = n.b; n = RtR(n); n.b = b; n.l.b = true; n.r.b = true; ch = false; } else if (B(n.l)) { ch = n.b; n.b = true; n.l.b = false; } else { n = RtR(n); n.b = true; n.r.b = false; n.r = BlR(n.r); ch = false; } return n; } public T this[long i] { get { return At(r, i); } } T At(Node n, long i) { if (n == null) return default(T); if (n.l == null) if (i == 0) return n.v; else return At(n.r, i - 1); if (n.l.c == i) return n.v; if (n.l.c > i) return At(n.l, i); return At(n.r, i - n.l.c - 1); } public bool Have(T x) { var t = FindUpper(x); return t < C(r) && At(r, t).CompareTo(x) == 0; } public long FindUpper(T x, bool allowSame = true) => allowSame ? FL(r, x) + 1 : FU(r, x); long FU(Node n, T x) { if (n == null) return 0; var r = c(x, n.v); if (r < 0) return FU(n.l, x); return C(n.l) + 1 + FU(n.r, x); } public long FindLower(T x, bool allowSame = true) { var t = FL(r, x); if (allowSame) return t + 1 < C(r) && At(r, t + 1).CompareTo(x) == 0 ? t + 1 : t < 0 ? C(r) : t; return t < 0 ? C(r) : t; } long FL(Node n, T x) { if (n == null) return -1; var r = c(x, n.v); if (r > 0) return C(n.l) + 1 + FL(n.r, x); return FL(n.l, x); } public T Min() { Node n = r, p = null; while (n != null) { p = n; n = n.l; } return p == null ? default(T) : p.v; } public T Max() { Node n = r, p = null; while (n != null) { p = n; n = n.r; } return p == null ? default(T) : p.v; } public bool Any() => r != null; public long Count() => C(r); public IEnumerable List() => L(r); IEnumerable L(Node n) { if (n == null) yield break; foreach (var i in L(n.l)) yield return i; yield return n.v; foreach (var i in L(n.r)) yield return i; } } class Dict : Dictionary { Func d; public Dict(Func _d) { d = _d; } public Dict() : this(_ => default(V)) { } new public V this[K i] { get { V v; return TryGetValue(i, out v) ? v : base[i] = d(i); } set { base[i] = value; } } } class Deque { T[] b; int o, c; public int Count; public T this[int i] { get { return b[gi(i)]; } set { b[gi(i)] = value; } } public Deque(int cap = 16) { b = new T[c = cap]; } int gi(int i) { if (i >= c) throw new Exception(); var r = o + i; return r >= c ? r - c : r; } public void PushFront(T x) { if (Count == c) e(); if (--o < 0) o += b.Length; b[o] = x; ++Count; } public T PopFront() { if (Count-- == 0) throw new Exception(); var r = b[o++]; if (o >= c) o -= c; return r; } public T Front => b[o]; public void PushBack(T x) { if (Count == c) e(); var i = o + Count++; b[i >= c ? i - c : i] = x; } public T PopBack() { if (Count == 0) throw new Exception(); return b[gi(--Count)]; } public T Back => b[gi(Count - 1)]; void e() { T[] nb = new T[c << 1]; if (o > c - Count) { var l = b.Length - o; Array.Copy(b, o, nb, 0, l); Array.Copy(b, 0, nb, l, Count - l); } else Array.Copy(b, o, nb, 0, Count); b = nb; o = 0; c <<= 1; } public void Insert(int i, T x) { if (i > Count) throw new Exception(); this.PushFront(x); for (int j = 0; j < i; j++) this[j] = this[j + 1]; this[i] = x; } public T RemoveAt(int i) { if (i < 0 || i >= Count) throw new Exception(); var r = this[i]; for (int j = i; j > 0; j--) this[j] = this[j - 1]; this.PopFront(); return r; } } class SegTree { int n; T ti; Func f; T[] dat; public SegTree(long _n, T _ti, Func _f) { n = 1; while (n < _n) n <<= 1; ti = _ti; f = _f; dat = Repeat(ti, n << 1).ToArray(); } public SegTree(List l, T _ti, Func _f) : this(l.Count, _ti, _f) { for (var i = 0; i < l.Count; i++) dat[n + i] = l[i]; for (var i = n - 1; i > 0; i--) dat[i] = f(dat[(i << 1) | 0], dat[(i << 1) | 1]); } public void Update(long i, T v) { dat[i += n] = v; while ((i >>= 1) > 0) dat[i] = f(dat[(i << 1) | 0], dat[(i << 1) | 1]); } public T Query(long l, long r) { var vl = ti; var vr = ti; for (long li = n + l, ri = n + r; li < ri; li >>= 1, ri >>= 1) { if ((li & 1) == 1) vl = f(vl, dat[li++]); if ((ri & 1) == 1) vr = f(dat[--ri], vr); } return f(vl, vr); } public T this[long idx] { get { return dat[idx + n]; } set { Update(idx, value); } } } class LazySegTree { int n, height; T ti; E ei; Func f; Func g; Func h; T[] dat; E[] laz; public LazySegTree(long _n, T _ti, E _ei, Func _f, Func _g, Func _h) { n = 1; height = 0; while (n < _n) { n <<= 1; ++height; } ti = _ti; ei = _ei; f = _f; g = _g; h = _h; dat = Repeat(ti, n << 1).ToArray(); laz = Repeat(ei, n << 1).ToArray(); } public LazySegTree(List l, T _ti, E _ei, Func _f, Func _g, Func _h) : this(l.Count, _ti, _ei, _f, _g, _h) { for (var i = 0; i < l.Count; i++) dat[n + i] = l[i]; for (var i = n - 1; i > 0; i--) dat[i] = f(dat[(i << 1) | 0], dat[(i << 1) | 1]); } T Reflect(long i) => laz[i].Equals(ei) ? dat[i] : g(dat[i], laz[i]); void Eval(long i) { if (laz[i].Equals(ei)) return; laz[(i << 1) | 0] = h(laz[(i << 1) | 0], laz[i]); laz[(i << 1) | 1] = h(laz[(i << 1) | 1], laz[i]); dat[i] = Reflect(i); laz[i] = ei; } void Thrust(long i) { for (var j = height; j > 0; j--) Eval(i >> j); } void Recalc(long i) { while ((i >>= 1) > 0) dat[i] = f(Reflect((i << 1) | 0), Reflect((i << 1) | 1)); } public void Update(long l, long r, E v) { Thrust(l += n); Thrust(r += n - 1); for (long li = l, ri = r + 1; li < ri; li >>= 1, ri >>= 1) { if ((li & 1) == 1) { laz[li] = h(laz[li], v); ++li; } if ((ri & 1) == 1) { --ri; laz[ri] = h(laz[ri], v); } } Recalc(l); Recalc(r); } public T Query(long l, long r) { Thrust(l += n); Thrust(r += n - 1); var vl = ti; var vr = ti; for (long li = l, ri = r + 1; li < ri; li >>= 1, ri >>= 1) { if ((li & 1) == 1) vl = f(vl, Reflect(li++)); if ((ri & 1) == 1) vr = f(Reflect(--ri), vr); } return f(vl, vr); } public T this[long idx] { get { Thrust(idx += n); return dat[idx] = Reflect(idx); } set { Thrust(idx += n); dat[idx] = value; laz[idx] = ei; Recalc(idx); } } } } }