//
//
//  Codeforces: ganariya
//  AtCoder: ganariya2525
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//include
//------------------------------------------
#include <vector>
#include <list>
#include <map>
#include <unordered_map>
#include <climits>
#include <set>
#include <unordered_set>
#include <deque>
#include <stack>
#include <bitset>
#include <algorithm>
#include <functional>
#include <numeric>
#include <utility>
#include <sstream>
#include <iostream>
#include <iomanip>
#include <cstdio>
#include <cmath>
#include <cstdlib>
#include <cctype>
#include <string>
#include <cstring>
#include <ctime>
#include <queue>
#include <random>
#include <complex>
#include <regex>
#include <locale>
#include <random>
#include <type_traits>

using namespace std;

#define SHOW_VECTOR(v) {std::cerr << #v << "\t:";for(const auto& xxx : v){std::cerr << xxx << " ";}std::cerr << "\n";}
#define SHOW_MAP(v){std::cerr << #v << endl; for(const auto& xxx: v){std::cerr << xxx.first << " " << xxx.second << "\n";}}

using LL = long long;

//~~~~~~~~~~~~~~~~~~~~~_(＾～＾ ｣ ∠)_~~~~~~~~~~~~~~~~~~~~~

int dx[] = {0, 1, 0, -1};
int dy[] = {1, 0, -1, 0};

int compress(vector<int> &s, vector<int> &e, int D) {
    vector<int> arr;
    int N = s.size();
    for (int i = 0; i < N; i++) {
        for (int j = -1; j <= 1; j++) {
            int x1 = s[i] + j;
            int x2 = e[i] + j;
            if (x1 >= 0 && x1 < D) arr.push_back(x1);
            if (x2 >= 0 && x2 < D) arr.push_back(x2);
        }
    }
    arr.push_back(0);
    arr.push_back(D-1);
    sort(arr.begin(), arr.end());
    arr.erase(unique(arr.begin(), arr.end()), arr.end());
    for (int i = 0; i < N; i++) {
        s[i] = lower_bound(arr.begin(), arr.end(), s[i]) - arr.begin();
        e[i] = lower_bound(arr.begin(), arr.end(), e[i]) - arr.begin();
    }
    return arr.size();
}

int main() {

    while (true) {

        int W, H;
        cin >> W >> H;

        if (W == 0 && H == 0) break;

        int N;
        cin >> N;

        vector<int> sx(N), sy(N), ex(N), ey(N);
        for (int i = 0; i < N; i++) cin >> sx[i] >> sy[i] >> ex[i] >> ey[i];

        W = compress(sx, ex, W);
        H = compress(sy, ey, H);

        vector<vector<int>> imos(H + 1, vector<int>(W + 1, 0));
        for (int i = 0; i < N; i++) {
            int x1 = sx[i];
            int x2 = ex[i];
            int y1 = sy[i];
            int y2 = ey[i];
            imos[y1][x1]++;
            imos[y2][x2]++;
            imos[y1][x2]--;
            imos[y2][x1]--;
        }

        for (int i = 0; i < H; i++) {
            for (int j = 0; j < W; j++) {
                imos[i][j + 1] += imos[i][j];
            }
        }

        for (int j = 0; j < W; j++) {
            for (int i = 0; i < H; i++) {
                imos[i + 1][j] += imos[i][j];
            }
        }

        int ans = 0;
        for (int i = 0; i < H; i++) {
            for (int j = 0; j < W; j++) {
                if (imos[i][j] == 0) {
                    queue<pair<int, int>> Q;
                    Q.push(make_pair(i, j));
                    imos[i][j] = 1;
                    ans++;
                    while (!Q.empty()) {
                        auto p = Q.front();
                        Q.pop();
                        int y = p.first;
                        int x = p.second;
                        for (int k = 0; k < 4; k++) {
                            int toY = y + dy[k];
                            int toX = x + dx[k];
                            if (toY < 0 || toY >= H || toX < 0 || toX >= W) continue;
                            if (imos[toY][toX]) continue;
                            imos[toY][toX] = 1;
                            Q.push(make_pair(toY, toX));
                        }
                    }
                }
            }
        }

        cout << ans << endl;


    }

}







































Measured memory_bytes: 9904