#include <bits/stdc++.h>
using namespace std;

const long long MOD = 1e9 + 7;

int r, c, n;
vector<vector<int>> graph;
vector<bool> sz;

void dfs1(int node) {
    sz[node] = true;
    for (int next : graph[node]) {
        if (!sz[next]) {
            dfs1(next);
        }
    }
}

vector<pair<int, int>> v1, v2, v3, v4;

int main()
{
    ios::sync_with_stdio(false);
    cin.tie(nullptr);

    cin >> r >> c >> n;
    sz.assign(n, false);
    graph.assign(n, vector<int>(0));
    for (int i=0; i < n; i++) {
        int u, v;
        cin >> u >> v;
        v1.push_back({u, i}); v2.push_back({v, i}); v3.push_back({u - v, i}); v4.push_back({u + v, i});
    }

    sort(v1.begin(), v1.end());
    sort(v2.begin(), v2.end());
    sort(v3.begin(), v3.end());
    sort(v4.begin(), v4.end());

    for (int i=0; i < n - 1; i++) {
        if (v1[i].first == v1[i + 1].first) {
            graph[v1[i].second].push_back(v1[i + 1].second);
            graph[v1[i + 1].second].push_back(v1[i].second);
        }
        if (v2[i].first == v2[i + 1].first) {
            graph[v2[i].second].push_back(v2[i + 1].second);
            graph[v2[i + 1].second].push_back(v2[i].second);
        }
        if (v3[i].first == v3[i + 1].first) {
            graph[v3[i].second].push_back(v3[i + 1].second);
            graph[v3[i + 1].second].push_back(v3[i].second);
        }
        if (v4[i].first == v4[i + 1].first) {
            graph[v4[i].second].push_back(v4[i + 1].second);
            graph[v4[i + 1].second].push_back(v4[i].second);
        }
    }

    long long ans = 1;
    for (int i=0; i < n; i++) {
        if (!sz[i]) {
            dfs1(i);
            ans = (ans * 2) % MOD;
        }
    }

    cout << ans << '\n';

    return 0;
}