// clang-format off
#include<bits/stdc++.h>
#define pb push_back
#define P make_pair
#define fi first
#define se second
#define rep(i,a,b) for(int i=(a);i<=(b);++i)
#define per(i,a,b) for(int i=(a);i>=(b);--i)
using namespace std;
typedef long long ll; 
typedef unsigned long long ull; 
typedef pair<int,int> pii; typedef pair<ll,int> pli; typedef pair<ll,ll> pll; typedef pair<int,ll> pil;
inline ll read(){
	ll x=0,f=1,c=getchar();
	while(c<'0'||c>'9')f=(c=='-'?-1:1),c=getchar();
	while(c>='0'&&c<='9')x=(x<<1)+(x<<3)+(c^48),c=getchar();
	return x*f;
}
const int N=1e5+3;
// clang-format on
int n,m,K;
char S[N],T[N];
int A[N<<1];
int sa[N<<1],rk[N<<1],st[18][N<<1];
inline int lcp(int i,int j){
	if(i>n||j>m)return 0;
	i=rk[i],j=rk[j+n+1];
	if(i>j)swap(i,j);
	int k=__lg(j-i++);
	return min(st[k][i],st[k][j-(1<<k)+1]);
}
int main() {
    //freopen("data.in", "r", stdin);
    // freopen(".in","r",stdin);
    // freopen("myans.out","w",stdout);
	K=read();scanf("%s",S+1),n=strlen(S+1);
	scanf("%s",T+1);m=strlen(T+1);
	rep(i,1,n)A[i]=S[i];A[n+1]=32;
	rep(i,1,m)A[n+1+i]=T[i];
	static int cnt[N<<1];int len=n+m+1,lim=127;
	rep(i,1,len)++cnt[rk[i]=A[i]];
	rep(i,1,lim)cnt[i] += cnt[i-1];
	per(i,len,1)sa[cnt[rk[i]]--]=i;
	for(int w=1,p=0;w<=len;w<<=1,lim=p,p=0){
		static int id[N<<1];
		per(i,len,len-w+1)id[++p]=i;
		rep(i,1,len)if(sa[i]>w)id[++p]=sa[i]-w;
		memset(cnt,0,sizeof cnt);
		rep(i,1,len)++cnt[rk[id[i]]];
		rep(i,1,lim)cnt[i] += cnt[i-1];
		per(i,len,1)sa[cnt[rk[id[i]]]--]=id[i],id[i]=0;
		static int tmp[N<<1];swap(tmp,rk);
		p=0;rep(i,1,len)rk[sa[i]]=(tmp[sa[i]]==tmp[sa[i-1]]&&tmp[sa[i]+w]==tmp[sa[i-1]+w]?p:++p);
		if(p==n)break;
	}
	rep(i,1,len){
		if(rk[i]==1)continue;
		int &k=st[0][rk[i]]=max(0,st[0][rk[i-1]]-1);
		while(A[i+k]==A[sa[rk[i]-1]+k])++k;
	}
	rep(j,1,17)rep(i,1,len-(1<<j)+1)st[j][i]=min(st[j-1][i],st[j-1][i+(1<<(j-1))]);
	static int f[33][63],ans[33];
	rep(k,0,m-1){
		memset(f,0xfe,sizeof f);
		f[0][K]=lcp(1,k+1);
		//rep(i,1,min(K,n))f[i][K-i]=lcp(i+1,k+1)+i;
		//rep(i,1,min(K,m-k))f[i][K+i]=lcp(1,k+i+1);
		rep(v,0,K-1)rep(d,-min(K,n-1),min(K,m-k)){
			int i=f[v][d+K],j=i+d;
			if(i<0||j<0)continue;
			if(j<m-k)f[v+1][d+K+1]=max(f[v+1][d+K+1],f[v][d+K]+lcp(i+1,k+j+2));
			if(i<n)f[v+1][d+K-1]=max(f[v+1][d+K-1],f[v][d+K]+1+lcp(i+2,k+j+1));
			if(i<n&&j<m-k)f[v+1][d+K]=max(f[v+1][d+K],f[v][d+K]+1+lcp(i+2,k+j+2));
		}
		int low=INT_MAX;
		rep(d,-min(K,n-1),min(K,m-n-k)){
			rep(v,0,K)if(f[v][d+K]>=n){++ans[v];low=min(low,d);break;}
		}
		if(low!=INT_MAX)rep(d,-min(K,n-1),low-1)++ans[-d];
	}
	rep(i,0,K)printf("%d\n",ans[i]);
    return 0;
}