#include #include #include using namespace atcoder; using mint = modint998244353; using namespace std; #define rep(i,n) for (int i = 0; i < (n); ++i) #define Inf32 1000000001 #define Inf64 4000000000000000001LL struct combi{ deque kaijou; deque kaijou_; combi(int n){ kaijou.push_back(1); for(int i=1;i<=n;i++){ kaijou.push_back(kaijou[i-1]*i); } mint b=kaijou[n].inv(); kaijou_.push_front(b); for(int i=1;i<=n;i++){ int k=n+1-i; kaijou_.push_front(kaijou_[0]*k); } } mint combination(int n,int r){ if(r>n)return 0; mint a = kaijou[n]*kaijou_[r]; a *= kaijou_[n-r]; return a; } mint junretsu(int a,int b){ mint x = kaijou_[a]*kaijou_[b]; x *= kaijou[a+b]; return x; } mint catalan(int n){ return combination(2*n,n)/(n+1); } }; combi C(500005); int ok[200005]; mint dp[2][200005]; mint cost[200005]; void dfs(int l,int r){ if(r-l==1){ cost[l] += C.kaijou[l+1]; return; } int m = (l+r)/2; dfs(l,m); vector f(m-l); rep(i,f.size())f[i] = cost[l+i]; vector g(r-l+1); rep(i,g.size())g[i] = -C.kaijou[i+1]; f = convolution(f,g); rep(i,f.size()){ if(l+i >= m && l+i < r)cost[l+i] += f[i]; } dfs(m,r); } void dfs2(int l,int r){ if(r-l==1){ if(ok[l])swap(dp[0][l],dp[1][l]); return; } int m = (r+l)/2; dfs2(l,m); rep(i,2){ vector f(m-l); rep(j,f.size()){ f[j] = dp[i][l+j]; } vector g(r-l+1); rep(j,g.size())g[j] = cost[j]; f = convolution(f,g); rep(j,f.size()){ if(j+l >= m && j+l < r){ dp[i][j+l] += f[j]; } } } dfs2(m,r); } int main(){ int n,m; cin>>n>>m; dfs(1,n+1); rep(i,m){ int a; cin>>a; ok[a] = 1; } dp[0][1] = 1; dfs2(1,n+1); cout<