#include <bits/stdc++.h>
using namespace std;
using ll = long long;
using vll = vector<ll>;
using pll = pair<ll, ll>;
#define sz(x) ((ll)(x).size())
#define vec vector
#define For(i, a, n) for(ll i = a; i < (ll)(n); i++)
const int monitor=1;
const int desk=0;
const ll MOD = 1e9+7;

template<typename T>
ostream& operator<<(ostream &os, const vector<T> &cont) {
    for (auto it = cont.begin(); it != cont.end(); ++it)
        os << (it == cont.begin() ? "" : " ") << *it;
    return os;
}

template<typename T1, typename T2>
ostream& operator<<(ostream &os, const pair<T1, T2> &cont) {
    os << "(" << cont.first << ", " << cont.second << ")";
    return os;
}
vec<vec<ll>> values;
vec<vec<ll>> dokopy;
vec<vec<int>> g;
int n, m, q;
vec<vec<int>> vs;
const int velky = 333;
vec<bool> velke;


void update(int v, int typ, int kolko){
    values[v][typ]+=kolko;
    dokopy[v][typ]+=kolko;
    if(velke[v])return;
    for(auto s : vs[v]){
        dokopy[s][typ]+=kolko;
    }
}
void check(int v){
    if(velke[v]){
        ll mon= dokopy[v][monitor], des=dokopy[v][desk];
        for(auto s:vs[v]){
            mon+= values[s][monitor];des+=values[s][desk];
        }
        if(mon>des)cout<<"monitors\n";
        if(mon<des)cout<<"desks\n";
        if(mon==des)cout<<"same\n";
    }
    else{
        ll mon= values[v][monitor], des=values[v][desk];
        for(auto s:g[v]){
            mon+= values[s][monitor];des+=values[s][desk];
        }
        if(mon>des)cout<<"monitors\n";
        if(mon<des)cout<<"desks\n";
        if(mon==des)cout<<"same\n";
    }
}

int main() {
    ios_base::sync_with_stdio(false);
    cin.tie(0);
    cout.tie(0);
    cin>>n>>m>>q;
    // n = 350;m=n*n;q=1e5;
    values.resize(n, vec<ll>(2));
    dokopy.resize(n, vec<ll>(2));
    For(i, 0, n)cin>>values[i][desk];
    For(i, 0, n)cin>>values[i][monitor];
    g.resize(n);
    For(i, 0, m){
        int a, b;cin>>a>>b;--a,--b;
        g[a].push_back(b);
        g[b].push_back(a);
    }
    
    velke.resize(n);
    For(i, 0, n){
        if(g[i].size()>velky){
            velke[i]=true;
        }       
    }
    vs.resize(n);
    For(i, 0, n){
        for(auto s: g[i]){
            if(velke[s]){
                vs[i].push_back(s);
            }
        }
    }
    For(i, 0, q){
        string t;cin>>t;
        if(t[0]=='c'){
            //check
            int v;cin>>v;--v;
            check(v);
        }
        else{
            int k;cin>>k;
            string p;cin>>p;
            int v;cin>>v;v--;
            if(p[0]=='m'){
                update(v, monitor, k);
            }
            else{
                update(v, desk, k);
            }
        }
    }
}