#include<bits/stdc++.h>
using namespace std;
using ll = long long;
using ull = unsigned long long;
#define pll pair <ll,ll>
#define fi first
#define se second
#define sz(a) (ll((a).size()))
#define BIT(mask,i) (((mask) >> (i))&1LL)
#define MASK(i) (1LL << (i))
ull dp[60];
ll f(ll x,ll y){
    return ll(dp[x] * dp[y]);
}
ll pr_to_int(string s){
//    cout<<s<<endl;
    ll n = sz(s)/3;
    if (n < 2)return 0;
    ll sum = 0;
    ll l = -1;
    for (ll i = sz(s) - 1;i >= 0;i --){
        sum += (s[i] == '|' ? 0 : (s[i] == '(' ? 1 : -1));
        if (sum == 0){l = i;break;}
    }
    ll right_sz = (sz(s)-l)/3;
//    cout<<"XXX "<<l<<endl;
    if (right_sz==n){
        ll res = 0;
        for (ll i = 1;i < n;i ++){
            res += f(n - i,i);
        }
        ll sum = 0;
        ll l = -1;
        for (ll i = sz(s) - 2;i >= 0;i --){
            sum += (s[i] == '|' ? 0 : (s[i] == '(' ? 1 : -1));
            if (sum == 0){l = i;break;}
        }
        if (l == sz(s)-2)l++;
        ll nw_sz = (sz(s) - 1 - l) / 3;
        for (ll i = 0;i < nw_sz;i++){
            res+=f(n-1-i,i);
        }

        string left_part(s,1,l-2),right_part(s,l,sz(s)-1-l);
//        cout<<"??? "<<left_part<<' '<<right_part<<endl;
        return res + pr_to_int(left_part) * dp[sz(right_part)/3] + pr_to_int(right_part);
    }
    else{
        ll res = 0;
        for (ll i = 1;i < right_sz;i ++){
            res += f(n - i,i);
        }
//        cout<<s<<"SUS"<<l<<' '<<res<<endl;
        string left_part(s,0,sz(s)-right_sz*3),right_part(s,sz(s)-right_sz*3,right_sz*3);
//        cout<<"??? "<<left_part<<' '<<right_part<<endl;
        return res + pr_to_int(left_part) * dp[sz(right_part)/3] + pr_to_int(right_part);
    }
}
ll to_int(string s){
    ll res = 0;
    ll n=sz(s)/3;
    for (ll i = 0;i < n;i++)res+=dp[i];
    res += pr_to_int(s);
    return res;
}
string pr_to_string(ll n,ll k){
    if (n == 1)return "(|)";
    if (n==0)return "";
    for (ll j = 1;j < n;j ++){
        if (f(n-j,j)<=k)k-=f(n-j,j);
        else{
            ll k1,k2;
            k1 = k / dp[j];
            k2 = k % dp[j];
            return pr_to_string(n-j,k1) + pr_to_string(j,k2);
        }
    }
    for (ll i = 0;i < n;i ++){
        if (f(n-1-i,i)<=k)k-=f(n-1-i,i);
        else{
            ll k1,k2;
            k1 = k / dp[i];
            k2 = k % dp[i];
            return "(" + pr_to_string(n-1-i,k1) + "|" + pr_to_string(i,k2) + ")";
        }
    }

}
string too_string(ll x){
    for (ll i = 0;i <= 25;i ++){
        if (x >= dp[i])x -= dp[i];
        else {return pr_to_string(i,x);}
    }
}
int main(){
    ios_base::sync_with_stdio(0);cin.tie(nullptr);cout.tie(nullptr);
    dp[0] = 1;
    dp[1] = 1;
    for (ll i = 1;i <= 25;i ++){
        for (ll j = 0;j <= i;j ++){
            if (j == 0)dp[i+1] += 2 * dp[i];
            else{
                if (j != i)dp[i+j] += dp[i] * dp[j] * 2;
                else dp[i+j] += dp[i] * dp[i];
                if (j != i)dp[i+j+1] += dp[i] * dp[j] * 2;
                else dp[i+j+1] += dp[i] * dp[i];
            }
        }
//        cout<<i<<' '<<dp[i]<<'\n';
    }
    string task;
    cin>>task;
    ll t;
    cin>>t;
    while (t--){
        ll n;
        cin>>n;
        if (task=="encode"){
            string s;
            cin>>s;
            cout<<to_int(s)<<'\n';
//            cout<<pr_to_int(s)<<'\n';
        }
        else{
            ll x;
            cin>>x;
            cout<<too_string(x)<<'\n';
        }
    }
}
/*
decode
3
1
1
4
60
5
225

1274049
1273964
*/