#include <bits/stdc++.h>
using namespace std;
int h, w, A[50010], B[50010], q;
int memo[2010][2010][4], done[2010][2010][4];
int dp(int a, int b, int c)
{
if (a < 0 || b < 0 || a == h || b == w) return -1;
if (done[a][b][c]) return memo[a][b][c];
done[a][b][c] = 1;
if (!c) // going up
{
if (B[b] < A[a]) return memo[a][b][c] = max(dp(a, b-1, 2), dp(a, b+1, 3))+1;
else return memo[a][b][c] = dp(a-1, b, c)+1;
}
else if (c == 1)
{
if (B[b] < A[a]) return memo[a][b][c] = max(dp(a, b-1, 2), dp(a, b+1, 3))+1;
else return memo[a][b][c] = dp(a+1, b, c)+1;
}
else if (c == 2)
{
if (B[b] > A[a]) return memo[a][b][c] = max(dp(a-1, b, 0), dp(a+1, b, 1))+1;
else return memo[a][b][c] = dp(a, b-1, c)+1;
}
else
{
if (B[b] > A[a]) return memo[a][b][c] = max(dp(a-1, b, 0), dp(a+1, b, 1))+1;
else return memo[a][b][c] = dp(a, b+1, c)+1;
}
}
int main()
{
scanf("%d%d%d", &h, &w, &q);
for (int i = 0; i < h; i++) scanf("%d", &A[i]);
for (int i = 0; i < w; i++) scanf("%d", &B[i]);
for (int i = 0; i < q; i++)
{
int a, b;
scanf("%d%d", &a, &b);
a--, b--;
int ans = max(dp(a-1, b, 0), max(dp(a+1, b, 1), max(dp(a, b-1, 2), dp(a, b+1, 3))))+1;
printf("%d\n", ans);
}
}