#include #include const int Maxn=100; const int Mod=998244353; int n; int a[Maxn+5]; int f[Maxn+5][Maxn+5][Maxn+5]; int find_last(int n){ static int g[Maxn+5]; g[n]=1; int ans=0; for(int i=n;i>0;i--){ int use=std::min(g[i],a[i]); g[i-1]=std::min(g[i]*2-use,10000); ans-=a[i]-use; } ans+=g[0]-a[0]; return ans; } int main(){ scanf("%d",&n); int mn_val=Maxn; for(int i=1;i<=n;i++){ int x; scanf("%d",&x); mn_val=std::min(mn_val,x); a[x]++; } f[Maxn+1][0][0]=1; int ans=0; for(int i=Maxn;i>=0;i--){ int require=find_last(i-1); for(int j=0;j<=n;j++){ for(int k=0;k<=n;k++){ if(f[i+1][j][k]==0){ continue; } for(int t=0;t<=n;t++){ int use=std::min(j+t,a[i]); int nxt_j=2*j+t-use,nxt_k=k+a[i]-use; if(i==0&&nxt_j>0&&j+t<=a[i]+k){ ans=(ans+f[i+1][j][k])%Mod; } if(nxt_j<0||nxt_j>n||nxt_k<0||nxt_k>n){ continue; } if((nxt_k!=0||mn_val!=i)&&nxt_j==0&&nxt_k+1>=require&&t>0){ ans=(ans+f[i+1][j][k])%Mod; } if(i>0){ f[i][nxt_j][nxt_k]=(f[i][nxt_j][nxt_k]+f[i+1][j][k])%Mod; } } } } } printf("%d\n",(ans+1)%Mod); return 0; }