#include <bits/stdc++.h>
#define rep(a,b,c) for(auto a = (b); a != (c); a++)
#define repD(a,b,c) for(auto a = (b); a != (c); a--)
#define repIn(a, b) for(auto& a : (b))
#define repIn2(a, b, c) for(auto& [a, b] : c)
#define ll long long
constexpr bool dbg = 0;
#define DEBUG if constexpr(dbg)
#define DC DEBUG std::cerr
#define eol std::endl
using namespace std;
constexpr int maxn = 1e6 + 7, maxLog = 21, inf = 1e9 + 8;
int h, w, q, n;
vector<int> graf[maxn];
int component[maxn], top[maxn], bottom[maxn];
int jp[maxn][maxLog];
pair<int, int> jp2[maxn][maxLog]; // { jump 2^j , jump 2^j - 1 }
int rowCosts[maxn];
bool twos;
void input() {
scanf("%d%d%d", &h, &w, &q);
char c;
rep(i, 0, h) rep(j, 0, w - 1) scanf(" %c", &c), (c == '1' ? graf[i * w + j].push_back(i * w + j + 1), graf[i * w + j + 1].push_back(i * w + j), 0 : 0);
rep(i, 0, h - 1) rep(j, 0, w) scanf(" %c", &c), (c == '1' ? graf[i * w + j].push_back(i * w + j + w), graf[i * w + j + w].push_back(i * w + j), 0 : 0);
rep(i, 0, h) scanf("%d", rowCosts + i), twos = twos || (rowCosts[i] == 2);
}
void dfsComponents(int v, int c) {
component[v] = c;
top[c] = min(top[c], v / w);
bottom[c] = max(bottom[c], v / w);
repIn(u, graf[v]) if (!component[u]) dfsComponents(u, c);
}
void calcComponents() {
top[0] = bottom[0] = -1;
DC << "Components: " << eol;
rep(i, 0, h) rep(j, 0, w) if (!component[i * w + j]) {
n++;
top[n] = bottom[n] = i;
dfsComponents(i * w + j, n);
DC << " comp " << n << " from " << i << ' ' << j << " -> top " << top[n] << " bottom " << bottom[n] << eol;
}
}
int cToRow1[maxn], cToRow2[maxn], rowToC[maxn];
int secondRTC[maxn];
void calcLowest() {
rep(i, 1, n + 1) cToRow1[i] = cToRow2[i] = -1;
repD(i, h - 1, -1) {
rep(j, 0, w) {
auto c = component[i * w + j];
if (rowToC[i] == 0 || bottom[c] > bottom[rowToC[i]]) secondRTC[i] = rowToC[i], rowToC[i] = c;
else if (secondRTC[i] == 0 || bottom[c] > bottom[secondRTC[i]]) secondRTC[i] = c;
if (rowCosts[i] == 1) if (cToRow1[c] == -1) cToRow1[c] = i;
if (rowCosts[i] == 2) if (cToRow2[c] == -1) cToRow2[c] = i;
}
}
DEBUG {
DC << "Component to row: " << eol;
rep(i, 1, n + 1) DC << " " << i << "1 -> " << cToRow1[i] << " 2 -> " << cToRow2[i] << eol;
DC << "Row to component: " << eol;
rep(i, 0, h) DC << " " << i << " -> " << rowToC[i] << eol;
}
}
int lowestSon1[maxn], lowestSon2[maxn];
void calcLowestSon() {
rep(i, 1, n + 1) lowestSon1[i] = (cToRow1[i] == -1 || rowToC[cToRow1[i]] == i ? 0 : rowToC[cToRow1[i]]), lowestSon2[i] = (cToRow2[i] == -1 || rowToC[cToRow2[i]] == i ? 0 : rowToC[cToRow2[i]]);
DEBUG {
DC << "LowestSons: " << eol;
rep(i, 1, n + 1) DC << " " << i << " ls1 " << lowestSon1[i] << " ls2 " << lowestSon2[i] << eol;
}
}
void calcJP() {
rep(i, 1, n + 1) jp[i][0] = lowestSon1[i];
rep(k, 1, maxLog) rep(i, 1, n + 1) jp[i][k] = jp[jp[i][k - 1]][k - 1];
}
void calcJP2() {
rep(i, 1, n + 1) jp2[i][0] = {lowestSon1[i], i};
rep(k, 1, maxLog) rep(i, 1, n + 1) {
int a = jp2[jp2[i][k - 1].first][k - 1].first;
int b = jp2[lowestSon2[jp2[i][k - 1].second]][k - 1].second;
if (a == 0) jp2[i][k].first = b;
else if (b == 0) jp2[i][k].first = a;
else if (bottom[a] > bottom[b]) jp2[i][k].first = a;
else jp2[i][k].first = b;
a = jp2[jp2[i][k - 1].first][k - 1].second;
b = jp2[jp2[i][k - 1].second][k - 1].first;
if (a == 0) jp2[i][k].second = b;
else if (b == 0) jp2[i][k].second = a;
else if (bottom[a] > bottom[b]) jp2[i][k].second = a;
else jp2[i][k].second = b;
}
DEBUG {
DC << "JP2:" << eol;
rep(i, 1, n + 1) {
DC << " From " << i << eol;
rep(k, 0, 4) DC << " 2^" << k << " -> " << jp2[i][k].first << ' ' << jp2[i][k].second << eol;
}
}
}
pair<int, int> jump(int v, int u) {
DC << "jump " << v << ' ' << u << eol << ' ';
int ans = 0;
repD(k, maxLog - 1, -1) if (jp[v][k] && bottom[jp[v][k]] < top[u]) {
v = jp[v][k], ans += 1 << k;
DC << v << "(" << (1 << k) << ") ";
}
DC << eol;
return {v, ans};
}
pair<pair<int, int>, int> jumpTwos(int v, int u) {
DC << " jumping from " << v << " to " << u << eol;
int v1 = v, v2 = v, moves = 0;
repD(k, maxLog - 1, -1) {
if (!jp2[v2][k].first) continue;
int a = jp2[v2][k].first;
int b = jp2[lowestSon2[v1]][k].second;
if (v1 == v2) b = 0;
int og2 = v2;
if (a == 0) v2 = b;
else if (b == 0) v2 = a;
else if (bottom[a] > bottom[b]) v2 = a;
else v2 = b;
if (bottom[v2] >= top[u]) {
v2 = og2;
continue;
}
a = jp2[v1][k].first;
if (v1 == og2 && k == 0) a = v1;
b = jp2[og2][k].second;
if (a == 0) v1 = b;
else if (b == 0) v1 = a;
else if (bottom[a] > bottom[b]) v1 = a;
else v1 = b;
moves += 1 << k;
DC << " jumped " << (1 << k) << " into " << v2 << " ( or -1 to " << v1 << " )" << eol;
}
DC << " walking now" << eol;
if (v1 == v2) {
v2 = lowestSon1[v1];
moves++;
}
while ((v1 != 0 && (v2 == 0 || bottom[v2] < top[u])) || (v2 != 0 && bottom[v2] < top[u])) {
DC << " " << v1 << ' ' << v2 << eol;
auto v3 = (bottom[lowestSon1[v2]] > bottom[lowestSon2[v1]]) ? lowestSon1[v2] : lowestSon2[v1];
v1 = v2;
v2 = v3;
moves++;
}
DC << " " << v1 << ' ' << v2 << eol;
return {{v1, v2}, moves};
}
bool cmpBottom(int a, int b) {
return bottom[a] < bottom[b];
}
int query(vector<int>& V) {
int ans = 0;
ranges::sort(V, cmpBottom);
int last = -1;
int v = V[0];
rep(i, 1, V.size()) {
const auto& u = V[i];
DC << "Jumping from " << v << " to " << u << " ; last = " << last << eol;
if (v == u) DC << " skip" << eol;
if (v == u) continue;
if (last >= top[u] && last <= bottom[u]) DC << " skip" << eol;
if (last >= top[u] && last <= bottom[u]) continue;
if (v == 0) return -1;
if (bottom[v] >= top[u]) {
if (bottom[u] >= bottom[v]) last = (cToRow1[v] >= top[u]) ? cToRow1[v] : cToRow2[v];
else last = (cToRow1[u] >= top[v]) ? cToRow1[u] : cToRow2[u];
v = rowToC[last];
ans += rowCosts[last];
DC << " zachodza" << eol;
continue;
}
if (!twos) {
auto [vv, cost] = jump(v, u);
v = lowestSon1[vv], ans += cost;
if (top[u] > bottom[v]) return -1;
ans += 2;
if (bottom[u] >= bottom[v]) {
last = bottom[v];
v = lowestSon1[v];
}
else {
last = bottom[u];
v = lowestSon1[u];
}
}
else {
auto [vs, initialMoves] = jumpTwos(v, u);
auto [v1, v2] = vs;
int moves1 = inf, last1 = inf, moves2 = inf, last2 = inf;
if (v2 != 0) {
if (bottom[u] > bottom[v2]) {
if (cToRow1[v2] >= top[u]) moves2 = initialMoves + 1, last2 = cToRow1[v2];
else moves2 = initialMoves + 2, last2 = cToRow2[v2];
}
else {
if (cToRow1[u] >= top[v2]) moves2 = initialMoves + 1, last2 = cToRow1[u];
else moves2 = initialMoves + 2, last2 = cToRow2[u];
}
}
if (cToRow2[v1] != -1) {
v1 = rowToC[cToRow2[v1]];
if (v1 != 0 && bottom[v1] >= top[u]) {
initialMoves++;
if (bottom[u] > bottom[v1]) {
if (cToRow1[v1] >= top[u]) moves1 = initialMoves + 1, last1 = cToRow1[v1];
else moves1 = initialMoves + 2, last1 = cToRow2[v1];
}
else {
if (cToRow1[u] >= top[v1]) moves1 = initialMoves + 1, last1 = cToRow1[u];
else moves1 = initialMoves + 2, last1 = cToRow2[u];
}
initialMoves--;
}
}
if (moves1 == inf && moves2 == inf) return -1;
// TODO: What if t > 2? Pay one more for greater `last`???
if (moves1 < moves2) {
ans += moves1;
last = last1;
}
else if (moves1 > moves2) {
ans += moves2;
last = last2;
}
else {
ans += moves1;
last = max(last1, last2);
}
v = rowToC[last];
}
}
return ans;
}
void processQueries() {
int t, a, b;
vector<int> V;
rep(i, 0, q) {
scanf("%d", &t);
V.resize(t);
rep(j, 0, t) scanf("%d%d", &a, &b), V[j] = component[(a - 1) * w + b - 1];
printf("%d\n", query(V));
}
}
int main() {
input();
calcComponents();
calcLowest();
calcLowestSon();
if (twos) calcJP2();
calcJP();
processQueries();
return 0;
}
