#include "bits/stdc++.h" #include #include #define ALL(x) (x).begin(), (x).end() #define RALL(x) (x).rbegin(), (x).rend() #define SZ(x) ((lint)(x).size()) #define FOR(i, begin, end) for(lint i=(begin),i##_end_=(end);i=i##_begin_;--i) #define REP(i, n) FOR(i,0,n) #define IREP(i, n) IFOR(i,0,n) #define endk '\n' using namespace std; typedef unsigned long long _ulong; typedef long long int lint; typedef long double ld; typedef pair plint; typedef pair pld; struct fast_ios { fast_ios() { cin.tie(nullptr), ios::sync_with_stdio(false), cout << fixed << setprecision(30); }; } fast_ios_; template auto add = [](T a, T b) -> T { return a + b; }; template auto mul = [](T a, T b) -> T { return a * b; }; template auto f_max = [](T a, T b) -> T { return max(a, b); }; template auto f_min = [](T a, T b) -> T { return min(a, b); }; template using V = vector; using Vl = V; using VVl = V; using VVVl = V>; template< typename T > ostream& operator<<(ostream& os, const vector< T >& v) { for (int i = 0; i < (int)v.size(); i++) os << v[i] << (i + 1 != v.size() ? " " : ""); return os; } template< typename T >istream& operator>>(istream& is, vector< T >& v) { for (T& in : v) is >> in; return is; } template bool chmax(T& a, const T& b) { if (a < b) { a = b; return 1; } return 0; } template bool chmin(T& a, const T& b) { if (b < a) { a = b; return 1; } return 0; } template T div_floor(T a, T b) { if (b < 0) a *= -1, b *= -1; return a >= 0 ? a / b : (a + 1) / b - 1; } template T div_ceil(T a, T b) { if (b < 0) a *= -1, b *= -1; return a > 0 ? (a - 1) / b + 1 : a / b; } template struct rec { F f; rec(F&& f_) : f(std::forward(f_)) {} template auto operator()(Args &&... args) const { return f(*this, std::forward(args)...); } }; lint gcd(lint a, lint b) { if (b == 0) return a; else return gcd(b, a % b); } lint digit(lint a) { return (lint)log10(a); } lint e_dist(plint a, plint b) { return abs(a.first - b.first) * abs(a.first - b.first) + abs(a.second - b.second) * abs(a.second - b.second); } lint m_dist(plint a, plint b) { return abs(a.first - b.first) + abs(a.second - b.second); } bool check_overflow(lint a, lint b, lint limit) { if (b == 0) return false; return a > limit / b; } // a * b > c => true void Worshall_Floyd(VVl& g) { REP(k, SZ(g)) REP(i, SZ(g)) REP(j, SZ(g)) chmin(g[i][j], g[i][k] + g[k][j]); } const lint MOD1000000007 = 1000000007, MOD998244353 = 998244353, INF = 2e18; lint dx[8] = { 0, 1, 0, -1, 1, -1, -1, 1 }, dy[8] = { 1, 0, -1, 0, -1, -1, 1, 1 }; bool YN(bool flag) { cout << (flag ? "YES" : "NO") << endk; return flag; } bool yn(bool flag) { cout << (flag ? "Yes" : "No") << endk; return flag; } struct Edge { lint from, to; lint cost; Edge() { } Edge(lint u, lint v, lint c) { cost = c; from = u; to = v; } bool operator<(const Edge& e) const { return cost < e.cost; } }; typedef pair tlint; typedef pair pld; typedef pair qlint; typedef pair pEd; typedef pair> vVl; typedef pair pstr; typedef pair pint; void solve() { lint N, K; cin >> N >> K; Vl arr(N); cin >> arr; Vl sums(N + 1); REP(i, N) sums[i + 1] = sums[i] ^ arr[i]; map vals; REP(i, N + 1) vals[sums[i]].push_back(i); V seg; for (auto p : vals) { if (SZ(p.second) > 2) { yn(false); return; } if (SZ(p.second) == 2) { seg.push_back({ p.second[0], p.second[1] }); } } Vl _s(N + 1); for (auto p : seg) { _s[p.first] += 1; _s[p.second] += -1; } REP(i, N) _s[i + 1] += _s[i]; Vl expect; REP(i, N) if (SZ(seg) == _s[i]) expect.push_back(i); set xs; REP(i, N) { FOR(k, -K, K + 1) { lint m = max(0ll, arr[i] + k); xs.insert(m ^ arr[i]); } } for (auto v : xs) { Vl ng(N + 1); Vl rf(2e6, -1); REP(i, N + 1) { if (rf[sums[i] ^ v] != -1) { ng[rf[sums[i] ^ v]]++; ng[i]--; } if (rf[sums[i]] == -1) rf[sums[i]] = i; } REP(i, N) ng[i + 1] += ng[i]; REP(i, N) { if (!ng[i] && _s[i] == SZ(seg) && abs((v ^ arr[i]) - arr[i]) <= K) { yn(true); return; } } } yn(false); } int main() { lint T = 1; //cin >> T; while (T--) solve(); }