#include <bits/stdc++.h>
using namespace std;
 
 
/*
------------------------Input Checker----------------------------------
*/
 
long long readInt(long long l,long long r,char endd){
    long long x=0;
    int cnt=0;
    int fi=-1;
    bool is_neg=false;
    while(true){
        char g=getchar();
        if(g=='-'){
            assert(fi==-1);
            is_neg=true;
            continue;
        }
        if('0'<=g && g<='9'){
            x*=10;
            x+=g-'0';
            if(cnt==0){
                fi=g-'0';
            }
            cnt++;
            assert(fi!=0 || cnt==1);
            assert(fi!=0 || is_neg==false);
 
            assert(!(cnt>19 || ( cnt==19 && fi>1) ));
        } else if(g==endd){
            if(is_neg){
                x= -x;
            }
 
            if(!(l <= x && x <= r))
            {
                cerr << l << ' ' << r << ' ' << x << '\n';
                assert(1 == 0);
            }
 
            return x;
        } else {
            assert(false);
        }
    }
}
string readString(int l,int r,char endd){
    string ret="";
    int cnt=0;
    while(true){
        char g=getchar();
        assert(g!=-1);
        if(g==endd){
            break;
        }
        cnt++;
        ret+=g;
    }
    assert(l<=cnt && cnt<=r);
    return ret;
}
long long readIntSp(long long l,long long r){
    return readInt(l,r,' ');
}
long long readIntLn(long long l,long long r){
    return readInt(l,r,'\n');
}
string readStringLn(int l,int r){
    return readString(l,r,'\n');
}
string readStringSp(int l,int r){
    return readString(l,r,' ');
}
 
 
/*
------------------------Main code starts here----------------------------------
*/
 
const int MAX_T = 1e5;
const int MAX_N = 1e5;
const int MAX_SUM_LEN = 1e5;
 
#define fast ios_base::sync_with_stdio(0); cin.tie(0); cout.tie(0)
#define ff first
#define ss second
#define mp make_pair
#define ll long long
#define rep(i,n) for(int i=0;i<n;i++)
#define rev(i,n) for(int i=n;i>=0;i--)
#define rep_a(i,a,n) for(int i=a;i<n;i++)
#define pb push_back
 
int sum_n = 0, sum_m = 0, sum = 0;
int max_n = 0, max_m = 0;
int yess = 0;
int nos = 0;
int total_ops = 0;
ll mod = 1000000007;
ll INF = 1e18;
using ii = pair<ll,ll>;

void maxi(ii &a, ii b){
    if(b.ss<=0) return;
    if(b.ff>a.ff){
        a = b;
        a.ss%=mod;
    }
    else if(a.ff==b.ff && b.ss>0){
        a.ss+=b.ss;
        a.ss%=mod;

        if(a.ss<0) a.ss+=mod;
    }
}

void solve()
{   

    int n = readIntSp(1,2e3);
    int k = readIntSp(1,2e3);
    ll m = readIntSp(1,1e9);
    mod = readIntLn(2,1e9);

    ll a[n+1], p[n+k+1], c[n+k+1];

    rep_a(i,1,n+1){
        if(i<n) a[i] = readIntSp(1,m);
        else a[i] = readIntLn(1,m);
    }
    rep_a(i,1,n+k+1){
        if(i<n+k) p[i] = readIntSp(1,m);
        else p[i] = readIntLn(1,m);
    }
    rep_a(i,1,n+k+1){
        if(i<n+k) c[i] = readIntSp(-1e9,1e9);
        else c[i] = readIntLn(-1e9,1e9);
    }

    vector<vector<ii> > dp(n+k+1, vector<ii>(n+1, mp(-INF, 0)));

    dp[0][0] = mp(0ll,1ll);

    rep_a(i,1,n+k+1){
        rep(j,n+1){
            if(j>i) break;
            if(j==0){
                if(!n){
                    maxi(dp[i][j], mp(dp[i-1][j].ff+c[i], dp[i-1][j].ss));
                    maxi(dp[i][j], mp(dp[i-1][j].ff, dp[i-1][j].ss*(m-1)));
                }
                else{
                    if(p[i]==a[j+1]) maxi(dp[i][j], mp(dp[i-1][j].ff, dp[i-1][j].ss*(m-1)));
                    else{
                        maxi(dp[i][j], mp(dp[i-1][j].ff+c[i], dp[i-1][j].ss));
                        maxi(dp[i][j], mp(dp[i-1][j].ff, dp[i-1][j].ss*(m-2)));
                    }
                }
            }
            else if(j==n){
                maxi(dp[i][j], mp(dp[i-1][j].ff+c[i], dp[i-1][j].ss));
                if(a[j]==p[i]){
                    maxi(dp[i][j], mp(dp[i-1][j-1].ff+c[i], dp[i-1][j-1].ss));
                    maxi(dp[i][j], mp(dp[i-1][j].ff, dp[i-1][j].ss*(m-1)));
                }
                else{
                    maxi(dp[i][j], dp[i-1][j-1]);
                    maxi(dp[i][j], dp[i-1][j]);
                    maxi(dp[i][j], mp(dp[i-1][j].ff, dp[i-1][j].ss*(m-2)));
                }

            }
            else{
                // if(p[i]==a[j]){
                //     maxi(dp[i][j], mp(dp[i-1][j-1].ff+c[i], dp[i-1][j-1].ss));
                //     if(a[j]==a[j+1]) maxi(dp[i][j], mp(dp[i-1][j].ff, dp[i-1][j].ss*(m-1)));
                //     else{
                //         maxi(dp[i][j], mp(dp[i-1][j].ff, dp[i-1][j].ss*(m-2)));
                //         maxi(dp[i][j], mp(dp[i-1][j].ff+c[i], dp[i-1][j].ss));
                //     }
                // }
                // else if(a[j]==a[j+1]){
                //     maxi(dp[i][j], mp(dp[i-1][j].ff+c[i], dp[i-1][j].ss));
                //     maxi(dp[i][j], mp(dp[i-1][j].ff, dp[i-1][j].ss*(m-2)));
                //     maxi(dp[i][j], dp[i-1][j-1]);
                
                // }
                // else if(p[i]==a[j+1]){
                //     maxi(dp[i][j], dp[i-1][j-1]);
                //     maxi(dp[i][j], dp[i-1][j]);
                //     maxi(dp[i][j], mp(dp[i-1][j].ff, dp[i-1][j].ss*(m-2)));
                // }
                // else{
                //     maxi(dp[i][j], mp(dp[i-1][j].ff+c[i], dp[i-1][j].ss));
                //     maxi(dp[i][j], dp[i-1][j-1]);
                //     maxi(dp[i][j], dp[i-1][j]);
                //     maxi(dp[i][j], mp(dp[i-1][j].ff, dp[i-1][j].ss*(m-3)));
                // }

                if(p[i]==a[j] && a[j]==a[j+1]){
                    maxi(dp[i][j], mp(dp[i-1][j-1].ff+c[i], dp[i-1][j-1].ss));
                    maxi(dp[i][j], mp(dp[i-1][j].ff, dp[i-1][j].ss*(m-1)));
                }
                else if(a[j]!=a[j+1] && a[j]!=p[i] && a[j+1]!=p[i]){
                    maxi(dp[i][j], mp(dp[i-1][j].ff+c[i], dp[i-1][j].ss));
                    maxi(dp[i][j], dp[i-1][j-1]);
                    maxi(dp[i][j], dp[i-1][j]);
                    maxi(dp[i][j], mp(dp[i-1][j].ff, dp[i-1][j].ss*(m-3)));
                }
                else if(a[j]==a[j+1]){
                    maxi(dp[i][j], mp(dp[i-1][j].ff+c[i], dp[i-1][j].ss));
                    maxi(dp[i][j], mp(dp[i-1][j].ff, dp[i-1][j].ss*(m-2)));
                    maxi(dp[i][j], dp[i-1][j-1]);
                }
                else if(a[j]==p[i]){
                    maxi(dp[i][j], mp(dp[i-1][j-1].ff+c[i], dp[i-1][j-1].ss));
                    maxi(dp[i][j], mp(dp[i-1][j].ff+c[i], dp[i-1][j].ss));
                    maxi(dp[i][j], mp(dp[i-1][j].ff, dp[i-1][j].ss*(m-2)));
                }
                else if(a[j+1]==p[i]){
                    maxi(dp[i][j], dp[i-1][j-1]);
                    maxi(dp[i][j], dp[i-1][j]);
                    maxi(dp[i][j], mp(dp[i-1][j].ff, dp[i-1][j].ss*(m-2)));
                }
            }
         }
    }

    cout<<dp[n+k][n].ff<<" "<<dp[n+k][n].ss<<'\n';



}
 
signed main()
{

    #ifndef ONLINE_JUDGE
    freopen("input.txt", "r" , stdin);
    freopen("output.txt", "w" , stdout);
    #endif
    fast;
    
    int t = 1;
    
    //t = readIntLn(1,1e5);
    
    for(int i=1;i<=t;i++)
    {    
       solve();
    }
   
    assert(getchar() == -1);
    //assert(sum_n<=2e5);
 
    cerr<<"SUCCESS\n";
    cerr<<"Tests : " << t << '\n';
    cerr<<"Sum of lengths : " << sum_n <<" "<<sum_m<<'\n';
    // cerr<<"Maximum length : " << max_n <<'\n';
    // // cerr<<"Total operations : " << total_ops << '\n';
    // cerr<<"Answered yes : " << yess << '\n';
    // cerr<<"Answered no : " << nos << '\n';

    cerr << "Time : " << 1000 * ((double)clock()) / (double)CLOCKS_PER_SEC << "ms\n";
}