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

#define int long long

#define pii pair<int, int>

#define MOD 1000000007

int pow_mod(int x, int p, int m = MOD) {
	int r = 1;
	while (p > 0) {
		if (p % 2 == 1) {
			r *= x;
			r %= m;
		}
		p /= 2;
		x *= x;
		x %= m;
	}
	return r;
}

void scc_dfs(const auto& g, auto& v, auto& s, int i) {
	if (v[i]) {
		return;
	}
	v[i] = true;
	for (int j : g[i]) {
		scc_dfs(g, v, s, j);
	}
	s.push_back(i);
}

void scc(const auto& g, auto& h) {
	int N = g.size();
	vector<int> v;
	vector<int> s;
	v.assign(N, false);
	for (int i = 0; i < N; i++) {
		scc_dfs(g, v, s, i);
	}
	vector<vector<int>> gt(N);
	for (int i = 0; i < N; i++) {
		for (int j : g[i]) {
			gt[j].push_back(i);
		}
	}
	reverse(s.begin(), s.end());
	v.assign(N, false);
	for (int i : s) {
		if (v[i]) {
			continue;
		}
		h.emplace_back();
		scc_dfs(gt, v, h.back(), i);
	}
}

signed main() {
	ios::sync_with_stdio(0);
	cin.tie(0);
#ifdef CB
	freopen("in.txt", "r", stdin);
//	freopen("out.txt", "w", stdout);
#endif
	int R, C, N;
	cin >> R >> C >> N;
	map<int, vector<pii>> m1, m2, m3, m4;
	for (int i = 0; i < N; i++) {
		int r, c;
		cin >> r >> c;
		m1[r].emplace_back(r + c, i);
		m2[c].emplace_back(r + c, i);
		m3[r + c].emplace_back(r - c, i);
		m4[r - c].emplace_back(r + c, i);
	}
	vector<vector<int>> g(N * 2);
	for (int i = 0; i < N; i++) {
		g[i].push_back(N + i);
		g[N + i].push_back(i);
	}
	for (auto& [_, v] : m1) {
		sort(v.begin(), v.end());
		for (int i = 0; i + 1 < v.size(); i++) {
			g[v[i].second].push_back(v[i + 1].second);
			g[v[i + 1].second].push_back(v[i].second);
		}
	}
	for (auto& [_, v] : m2) {
		sort(v.begin(), v.end());
		for (int i = 0; i + 1 < v.size(); i++) {
			g[v[i].second].push_back(v[i + 1].second);
			g[v[i + 1].second].push_back(v[i].second);
		}
	}
	for (auto& [_, v] : m3) {
		sort(v.begin(), v.end());
		for (int i = 0; i + 1 < v.size(); i++) {
			g[N + v[i].second].push_back(N + v[i + 1].second);
			g[N + v[i + 1].second].push_back(N + v[i].second);
		}
	}
	for (auto& [_, v] : m4) {
		sort(v.begin(), v.end());
		for (int i = 0; i + 1 < v.size(); i++) {
			g[N + v[i].second].push_back(N + v[i + 1].second);
			g[N + v[i + 1].second].push_back(N + v[i].second);
		}
	}
	vector<vector<int>> h;
	scc(g, h);
	cout << pow_mod(2, h.size()) << endl;
	return 0;
}