#include <stdio.h>
#include <atcoder/all>
#include <bits/stdc++.h>
using namespace std;
using namespace atcoder;
using mint = modint998244353;
#define rep(i,n) for (int i = 0; i < (n); ++i)
#define Inf32 1000000001
#define Inf64 4000000000000000001

int d;
string S;
vector<long long> get(int&);

void Add(vector<long long> &a,vector<long long> b){
	rep(i,d+1)a[i] += b[i];
}

vector<long long> kou(int &i){
	//cout<<i<<endl;
	vector<long long> ret(d+1,0);
	if(S[i]=='d'){
		i+=2;
		ret = get(i);
		rep(i,d){
			ret[i] = ret[i+1] * (i+1);
		}
		ret[d] = 0;
		i++;
		//cout<<i<<endl;
		return ret;
	}
	else{
		long long xs = 0,n = 1;
		while(true){
			if(i==S.size())break;
			if(S[i]=='*'){
				i++;
				continue;
			}
			if(isdigit(S[i])){
				n = S[i]-'0';
				i++;
				continue;
			}
			if(S[i]=='x'){
				xs++;
				i++;
				continue;
			}
			break;
		}
		//cout<<i<<','<<xs<<','<<n<<endl;
		ret[xs] = n;
		return ret;
	}
	
}

vector<long long> get(int &i){
	//cout<<i<<endl;
	vector<long long> ret(d+1,0);
	Add(ret,kou(i));
	//cout<<i<<endl;
	while(true){
		if(i==S.size())return ret;
		if(S[i]=='}'){
			return ret;
		}
		if(S[i]=='+'){
			i++;
			Add(ret,kou(i));
			continue;
		}
		//i++;
		return ret;
	}
}

int main(){
	
	int n;
	cin>>n>>d;
	
	//string S;
	cin>>S;
	int i = 0;
	auto r = get(i);
	
	rep(i,d+1){
		if(i!=0)cout<<' ';
		cout<<r[i];
	}
	cout<<endl;
	
	return 0;
}