#include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include using namespace std; using namespace atcoder; typedef long long ll; #define rep(i, n) for (int i = 0; i < (int)(n); i++) #define repr(i, n) for (int i = (int)(n) - 1; i >= 0; i--) #define repk(i, k, n) for (int i = k; i < (int)(n); i++) #define all(v) v.begin(), v.end() #define mod1 1000000007 #define mod2 998244353 #define mod3 100000007 #define vi vector #define vs vector #define vc vector #define vl vector #define vb vector #define vvi vector> #define vvc vector> #define vvl vector> #define vvb vector> #define vvvi vector>> #define vvvl vector>> #define pii pair #define pil pair #define pli pair #define pll pair #define vpii vector> #define vpll vector> #define vvpii vector>> #define vvpll vector>> template void debug(T e) { cerr << e << endl; } template void debug(vector &v) { rep(i, v.size()) { cerr << v[i] << " "; } cerr << endl; } template void debug(vector> &v) { rep(i, v.size()) { rep(j, v[i].size()) { cerr << v[i][j] << " "; } cerr << endl; } } template void debug(vector> &v) { rep(i, v.size()) { cerr << v[i].first << " " << v[i].second << endl; } } template void debug(set &st) { for (auto itr = st.begin(); itr != st.end(); itr++) { cerr << *itr << " "; } cerr << endl; } template void debug(multiset &ms) { for (auto itr = ms.begin(); itr != ms.end(); itr++) { cerr << *itr << " "; } cerr << endl; } template void debug(map &mp) { for (auto itr = mp.begin(); itr != mp.end(); itr++) { cerr << itr->first << " " << itr->second << endl; } } void debug_out() { cerr << endl; } template void debug_out(Head H, Tail... T) { cerr << H << " "; debug_out(T...); } using mint = modint998244353; void debug_mint1(vector &vec) { for (int i = 0; i < vec.size(); i++) { cerr << vec[i].val() << " "; } cerr << endl; } void debug_mint2(vector> &vec) { for (int i = 0; i < vec.size(); i++) { for (int j = 0; j < vec[i].size(); j++) { cerr << vec[i][j].val() << " "; } cerr << endl; } } void dfs(vector>> &vec, ll sum, bool has_plus, bool has_minus, vector &A, ll id, ll len){ if (id == len){ vec[has_plus][has_minus].push_back(sum); return; } dfs(vec, sum + A[id], true, has_minus, A, id + 1, len); dfs(vec, sum, has_plus, has_minus, A, id + 1, len); dfs(vec, sum - A[id], has_plus, true, A, id + 1, len); return; } int main() { ll N, K; cin >> N >> K; vector A(N); rep(i, N) cin >> A[i]; for (ll i = 0; i < N; i++){ if (A[i] == K){ cout << "Yes" << endl; return 0; } } vector>> former(2, vector>(2, vector(0))); vector>> latter(2, vector>(2, vector(0))); dfs(former, 0, false, false, A, 0, N / 2); dfs(latter, 0, false, false, A, N / 2, N); for (ll i = 0; i < 2; i++){ for (ll j = 0; j < 2; j++){ sort(all(former[i][j])); sort(all(latter[i][j])); } } bool has = false; for (ll i = 0; i < 2; i++){ for (ll j = 0; j < 2; j++){ for (ll k = 0; k < 2; k++){ for (ll l = 0; l < 2; l++){ if (i + k >= 1 && j + l >= 1){ for (ll m = 0; m < former[i][j].size(); m++){ ll id1 = lower_bound(all(latter[k][l]), K - former[i][j][m]) - latter[k][l].begin(); ll id2 = lower_bound(all(latter[k][l]), K - former[i][j][m] + 1) - latter[k][l].begin(); if (id1 != id2) has = true; } } } } } } cout << (has ? "Yes" : "No") << endl; }