/* -*- coding: utf-8 -*- * * 1538.cc: No.1538 引きこもりさんは引き算が得意。 - yukicoder */ #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include using namespace std; /* constant */ const int MAX_N = 20; const int MAX_M = 59049; // = 3^10 /* typedef */ typedef long long ll; typedef pair pli; /* global variables */ int as[MAX_N]; pli ass[MAX_M], bss[MAX_M]; /* subroutines */ inline int exp3(int n) { int e = 1; while (n--) e *= 3; return e; } inline pli t2sum(int t, int l, int r) { ll sum = 0; int b = 0; for (int i = l; i < r; i++, t /= 3) { int d = t % 3; if (d == 1) sum += as[i], b |= 1; else if (d == 2) sum -= as[i], b |= 2; } return pli(sum, b); } /* main */ int main() { int n, k; scanf("%d%d", &n, &k); for (int i = 0; i < n; i++) { scanf("%d", as + i); if (as[i] == k) { puts("Yes"); return 0; } } int a = n / 2, b = n - a; int am = exp3(a), bm = exp3(b); for (int ts = 0; ts < am; ts++) ass[ts] = t2sum(ts, 0, a); sort(ass, ass + am); am = unique(ass, ass + am) - ass; for (int ts = 0; ts < bm; ts++) bss[ts] = t2sum(ts, a, n); sort(bss, bss + bm); bm = unique(bss, bss + bm) - bss; for (int ts = 0; ts < am; ts++) { pli pa = ass[ts]; //printf("%d -> %lld\n", ts, sum); int i = lower_bound(bss, bss + bm, pli(k - pa.first, 0)) - bss; while (i < bm && bss[i].first + pa.first == k) { if ((bss[i].second | pa.second) == 3) { puts("Yes"); return 0; } i++; } } puts("No"); return 0; }