#include <iostream>

using namespace std;



int N,D;
string s;
int ctr;


/*


*/

class shiki{
public:
int n;
long long * cs;
shiki(int n){
    this->n=n;
    cs=new long long[n];
    for(int ctr1=0;ctr1<n;ctr1++)
    cs[ctr1]=0;
}

void raise(int s,long long c){
    cs[s]+=c;
}

void add(shiki b){
    for(int ctr1=0;ctr1<n;ctr1++)
    cs[ctr1]+=b.cs[ctr1];
}

void free(){
    delete [] cs;
}

void p(){
    for(int ctr1=0;ctr1<n;ctr1++){
        cout<<cs[ctr1]<<" ";
    }
    cout<<endl;
}

void dx(){
    long long * cs2=new long long[n];
    for(int ctr1=0;ctr1<n-1;ctr1++){
        cs2[ctr1]=cs[ctr1+1]*(ctr1+1);
    }
    cs2[n-1]=0;
    delete [] cs;
    cs=cs2;
}

};
shiki parse(){
    shiki rez(D);
    while(1){
    if(ctr==N)
    return rez;
    else if(s[ctr]=='d'){
        ctr+=2;
        shiki k=parse();
        k.dx();
        rez.add(k);
        k.free();
    }else if(s[ctr]=='}'){
        ctr++;
        return rez;
    }else if (s[ctr]=='+'){
        ctr++;
    }else{
        int step=0,kons=1;
        int l=N;
        for(int ctr1=ctr;ctr1<l;ctr1++)
            if(s[ctr1]!='x' && s[ctr1]!='*' && !isdigit(s[ctr1])){
            l=ctr1;break;}
        for(int ctr1=ctr;ctr1<l;ctr1++){
            if(isdigit(s[ctr1]))
            kons=s[ctr1]-'0';
            if(s[ctr1]=='x')
            step++;
        }
        ctr=l;
        rez.raise(step,kons);
    }
}
return rez;
}


int main()
{
    ctr=0;
    cin>>N>>D>>s;
    D++;
    shiki rez=parse();
    rez.p();
    return 0;
}
/*
5
1
6+9+x


*/