import static java.lang.Math.*; import static java.util.Arrays.*; import java.io.*; import java.lang.reflect.Array; import java.math.*; import java.util.*; import java.util.concurrent.ThreadLocalRandom; import java.util.function.*; import java.util.stream.*; class Solver{ long st = System.currentTimeMillis(); long elapsed(){ return System.currentTimeMillis() -st; } void reset(){ st = System.currentTimeMillis(); } static int infI = (1 <<30) -1; static long infL = 1L <<60; //static long mod = (int) 1e9 +7; static long mod = 998244353; static String yes = "Yes"; static String no = "No"; static Random rd = ThreadLocalRandom.current(); MyReader in = new MyReader(System.in); MyWriter out = new MyWriter(System.out); MyWriter log = new MyWriter(System.err){ @Override void println(Object obj){ super.println(obj == null ? "null" : obj); }; @Override protected void ln(){ super.ln(); flush(); }; }; int N = in.it(); int K = in.it(); int[] A = in.it(N); Object solve(){ return dfs(0,K,0); } long dfs(int i,int k,long sum){ if(i==N){ return sum%mod<=sum%998 ?1:0; } int ret = 0; if(0 { private Queue que,rem; private Comparator cmp; @SuppressWarnings("unchecked") public DeletablePque(){ this((Comparator) Comparator.naturalOrder()); } public > DeletablePque(Function func){ this(Comparator.comparing(func)); } private DeletablePque(Comparator cmp){ this.cmp = cmp; que = new PriorityQueue<>(cmp); rem = new PriorityQueue<>(cmp); } public boolean add(T t){ return que.add(t); } public boolean remove(T t){ return rem.add(t); } public T poll(){ return adj().poll(); } public T peek(){ return adj().peek(); } private Queue adj(){ while (!que.isEmpty() && !rem.isEmpty() && cmp.compare(que.peek(),rem.peek()) == 0) { que.poll(); rem.poll(); } return que; } } class Mex{ private int[] cnt; private DeletablePque que; private Queue wait; private int add; public Mex(){ this(16); } public Mex(int n){ cnt = new int[n]; que = new DeletablePque<>(); wait = new PriorityQueue<>(); for (int x = 0;x < cnt.length;x++) que.add(x); } public int add(int x){ if (++add == cnt.length) grow(); if (x < cnt.length) { if (cnt[x]++ == 0) que.remove(x); } else wait.add(x); return que.peek(); } public int remove(int x){ if (x < cnt.length && --cnt[x] == 0) que.add(x); return que.peek(); } private void grow(){ for (int x = cnt.length;x < cnt.length <<1;x++) que.add(x); for (cnt = copyOf(cnt,cnt.length <<1);!wait.isEmpty() && wait.peek() < cnt.length;add--) add(wait.poll()); } } abstract class Dijkstra extends Graph{ protected L[] len; private int[] arr,rev; private int sz; protected Edge[] pre; private Comparator cmp; protected L zero,inf; @SuppressWarnings("unchecked") public Dijkstra(int n,boolean dir){ this(n,dir,(Comparator) Comparator.naturalOrder()); } public > Dijkstra(int n,boolean dir,Function func){ this(n,dir,Comparator.comparing(func)); } @SuppressWarnings("unchecked") public Dijkstra(int n,boolean dir,Comparator cmp){ super(n,dir); this.cmp = cmp; zero = zero(); inf = inf(); len = (L[]) new Object[n]; arr = new int[n]; rev = new int[n]; pre = new Edge[n]; } protected abstract L zero(); protected abstract L inf(); protected abstract L f(L l,E val); public void calcFrom(int s){ calc(s,-1); } public void calc(int s,int g){ init(); pre[s] = null; set(s,zero); while (!isEmpty()) { var cur = poll(); if (cur == g) break; L l = len[cur]; for (var e:go(cur)) { L ll = f(l,e.val); if (cmp.compare(ll,len[e.v]) < 0) { pre[e.v] = e; set(e.v,ll); } } } } public L len(int t){ return len[t]; } public Deque> path(int t){ Deque> ret = new ArrayDeque<>(); while (pre[t] != null) { ret.addFirst(pre[t]); t = pre[t].u; } return ret; } private void init(){ fill(len,inf); setAll(arr,i -> i); setAll(rev,i -> i); sz = n; } private boolean isEmpty(){ return sz == 0; } private void set(int i,L l){ if (sz <= rev[i] || cmp.compare(len[i],l) <= 0) return; len[i] = l; heapfy(rev[i]); } private int poll(){ int ret = arr[0]; heapfy(swap(0,--sz)); return ret; } private void heapfy(int k){ int p = k -1 >>1; if (0 <= p && cmp.compare(len[arr[p]],len[arr[k]]) > 0) { heapfy(swap(p,k)); return; } int c = k <<1 |1; if (sz <= c) return; if (c +1 < sz && cmp.compare(len[arr[c +1]],len[arr[c]]) < 0) c++; if (cmp.compare(len[arr[c]],len[arr[k]]) < 0) heapfy(swap(c,k)); } private int swap(int i,int j){ int t = arr[i]; arr[i] = arr[j]; arr[j] = t; rev[arr[i]] = i; rev[arr[j]] = j; return i; } } class Edge { int id,u,v; L val; Edge re; Edge(int id,int u,int v,L val){ this.id = id; this.u = u; this.v = v; this.val = val; } @Override public String toString(){ return "(" +u +"," +v +"," +val +")"; } } class Graph { public int n; List> es; private List>[] go,bk; @SuppressWarnings("unchecked") public Graph(int n,boolean dir){ this.n = n; go = new List[n]; bk = dir ? new List[n] : go; for (int i = 0;i < n;i++) { go[i] = new ArrayList<>(); bk[i] = new ArrayList<>(); } es = new ArrayList<>(); } public void addEdge(int u,int v){ addEdge(u,v,null); } public void addEdge(int u,int v,L l){ var e = new Edge<>(es.size(),u,v,l); var re = new Edge<>(e.id,e.v,e.u,inv(e.val)); es.add(e); go[u].add(re.re = e); bk[v].add(e.re = re); } protected L inv(L l){ return l; } public List> go(int ui){ return go[ui]; } public List> back(int ui){ return bk[ui]; } } class Util{ static int[] arrI(int N,IntUnaryOperator f){ int[] ret = new int[N]; setAll(ret,f); return ret; } static long[] arrL(int N,IntToLongFunction f){ long[] ret = new long[N]; setAll(ret,f); return ret; } static double[] arrD(int N,IntToDoubleFunction f){ double[] ret = new double[N]; setAll(ret,f); return ret; } static T[] arr(T[] arr,IntFunction f){ setAll(arr,f); return arr; } } class MyReader{ private byte[] buf = new byte[1 <<16]; private int ptr,tail; private InputStream in; MyReader(InputStream in){ this.in = in; } private byte read(){ if (ptr == tail) try { tail = in.read(buf); ptr = 0; } catch (IOException e) {} return buf[ptr++]; } private boolean isPrintable(byte c){ return 32 < c && c < 127; } private byte nextPrintable(){ byte ret = read(); while (!isPrintable(ret)) ret = read(); return ret; } int it(){ return toIntExact(lg()); } int[] it(int N){ return Util.arrI(N,i -> it()); } int[][] it(int H,int W){ return Util.arr(new int[H][],i -> it(W)); } int idx(){ return it() -1; } int[] idx(int N){ return Util.arrI(N,i -> idx()); } int[][] idx(int H,int W){ return Util.arr(new int[H][],i -> idx(W)); } long lg(){ byte i = nextPrintable(); boolean negative = i == 45; long n = negative ? 0 : i -'0'; while (isPrintable(i = read())) n = 10 *n +i -'0'; return negative ? -n : n; } long[] lg(int N){ return Util.arrL(N,i -> lg()); } long[][] lg(int H,int W){ return Util.arr(new long[H][],i -> lg(W)); } double dbl(){ return Double.parseDouble(str()); } double[] dbl(int N){ return Util.arrD(N,i -> dbl()); } double[][] dbl(int H,int W){ return Util.arr(new double[H][],i -> dbl(W)); } char[] ch(){ return str().toCharArray(); } char[][] ch(int H){ return Util.arr(new char[H][],i -> ch()); } String line(){ StringBuilder sb = new StringBuilder(); for (byte c;(c = read()) != '\n';) sb.append((char) c); return sb.toString(); } String str(){ StringBuilder sb = new StringBuilder(); sb.append((char) nextPrintable()); for (byte c;isPrintable(c = read());) sb.append((char) c); return sb.toString(); } String[] str(int N){ return Util.arr(new String[N],i -> str()); } } class MyWriter{ private OutputStream out; private byte[] buf = new byte[1 <<16],ibuf = new byte[20]; private int tail; MyWriter(OutputStream out){ this.out = out; } void flush(){ try { out.write(buf,0,tail); tail = 0; } catch (IOException e) { e.printStackTrace(); } } protected void ln(){ write((byte) '\n'); } private void write(byte b){ buf[tail++] = b; if (tail == buf.length) flush(); } private void write(byte[] b,int off,int len){ for (int i = off;i < off +len;i++) write(b[i]); } private void write(long n){ if (n < 0) { n = -n; write((byte) '-'); } int i = ibuf.length; do { ibuf[--i] = (byte) (n %10 +'0'); n /= 10; } while (n > 0); write(ibuf,i,ibuf.length -i); } private void print(Object obj){ if (obj instanceof Boolean) print((boolean) obj ? Solver.yes : Solver.no); else if (obj instanceof Integer) write((int) obj); else if (obj instanceof Long) write((long) obj); else if (obj instanceof char[] cs) for (char b:cs) write((byte) b); else if (obj.getClass().isArray()) { int l = Array.getLength(obj); for (int i = 0;i < l;i++) { print(Array.get(obj,i)); if (i +1 < l) write((byte) ' '); } } else print(Objects.toString(obj).toCharArray()); } void println(Object obj){ if (obj == null) return; if (obj instanceof Iterable co) for (Object e:co) println(e); else if (obj.getClass().isArray() && Array.getLength(obj) > 0 && Array.get(obj,0).getClass().isArray()) { int l = Array.getLength(obj); for (int i = 0;i < l;i++) println(Array.get(obj,i)); } else { print(obj); ln(); } } void printlns(Object... o){ print(o); ln(); } } class Main{ public static void main(String[] args) throws Exception{ new Solver(){ public void exe(){ out.println(solve()); out.flush(); log.println(elapsed()); } }.exe(); } }