#include<bits/stdc++.h>
using namespace std;
#define task "a"
#define se second
#define fi first
#define ll long long
#define ii pair<ll, ll>
const long mxN = 2e3 + 7, mxX = 2e5 + 7;
int nRow, nCol, vis[mxN][mxN], ans[mxX], dsu[mxN * mxN], n, q;
ii a[mxX];
string s[mxN];
map<int, bool> m[mxN * mxN];
int d1[4] = {0, 0, -1, 1};
int d2[4] = {-1, 1, 0, 0};
bool Check(int u, int v)
{
return (u < 0) || (v <= u);
}
int Encode(int u, int v)
{
return u * nCol + v;
}
int Find(int j)
{
if (dsu[j] == j)
return j;
else
return dsu[j] = Find(dsu[j]);
}
void Union(int u, int v, int dif)
{
u = Find(u);
v = Find(v);
if (u == v)
return;
if (m[u].size() > m[v].size())
swap(u, v);
dsu[u] = v;
for (ii i : m[u])
{
if (m[v][i.fi])
{
ans[i.fi] = dif;
m[v].erase(i.fi);
}
else
m[v][i.fi] = 1;
}
m[u].clear();
}
int main()
{
ios_base::sync_with_stdio(false);
cin.tie(NULL);
cout.tie(NULL);
//freopen(task".INP", "r", stdin);
//freopen(task".OUT", "w", stdout);
cin >> nRow >> nCol >> n >> q;
for (int i = 0; i < nRow; i++)
{
cin >> s[i];
for (int j = 0; j < nCol; j++)
{
int tmp = Encode(i, j);
dsu[tmp] = tmp;
vis[i][j] = -1;
}
}
queue<ii> qq;
for (int i = 1; i <= n; i++)
{
cin >> a[i].fi >> a[i].se;
a[i].fi--;
a[i].se--;
vis[a[i].fi][a[i].se] = 0;
qq.push(a[i]);
}
for (int i = 1; i <= q; i++)
{
int u, v;
cin >> u >> v;
m[Encode(a[u].fi, a[u].se)][i] = 1;
m[Encode(a[v].fi, a[v].se)][i] = 1;
ans[i] = -(u != v);
}
while (qq.size())
{
ii j = qq.front();
qq.pop();
for (int i = 0; i < 4; i++)
{
int u = j.fi + d1[i];
int v = j.se + d2[i];
if (Check(u, nRow) || Check(v, nCol) || s[u][v] == '#')
continue;
Union(Encode(j.fi, j.se), Encode(u, v), vis[j.fi][j.se] + vis[u][v]);
if (vis[u][v] == -1)
{
vis[u][v] = vis[j.fi][j.se] + 1;
qq.push({u, v});
}
}
}
for (int i = 1; i <= q; i++)
cout << ans[i] << '\n';
}
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