#include <algorithm>
#include <bitset>
#include <complex>
#include <deque>
#include <exception>
#include <fstream>
#include <functional>
#include <iomanip>
#include <ios>
#include <iosfwd>
#include <iostream>
#include <istream>
#include <iterator>
#include <limits>
#include <list>
#include <locale>
#include <map>
#include <memory>
#include <new>
#include <numeric>
#include <ostream>
#include <queue>
#include <set>
#include <sstream>
#include <stack>
#include <stdexcept>
#include <streambuf>
#include <string>
#include <typeinfo>
#include <utility>
#include <valarray>
#include <vector>
#include <cstring>

#define REP(i, n) for (int i = 0; i < (n); i++)
#define FOR(i, init, n) for (int i = init; i < (n); i++)
#define ALL(obj) (obj).begin(), (obj).end()
#define RALL(obj) (obj).rbegin(), (obj).rend()
#define Cout(obj) cout << obj << endl
#define Size(obj) (int)(obj).size()
#define fcout cout << fixed << setprecision(10)
#define fi first
#define se second

using namespace std;
using ll = long long int;
using P = pair<int, int>;
using T = tuple<int, int, int>;
using edge = struct
{
    int to, cost;
};

const int MOD = 1e9 + 7;
const int iINF = 1e9;
const long long int llINF = 1e18;
const double PI = acos(-1.0);

const int dx[4] = {1, 0, -1, 0};
const int dy[4] = {0, 1, 0, -1};


int imos[1010][1010];
int H, W, N;

void bfs(int y, int x)
{
    queue<P> que;

    que.push(P{y, x});
    imos[y][x] = 1;

    while (Size(que))
    {
        P p = que.front();
        que.pop();

        int y = p.fi, x = p.se;

        REP(i, 4)
        {
            int ny = y + dy[i], nx = x + dx[i];

            if (ny < 0 || nx < 0 || W <= nx || H <= ny)
            {
                continue;
            }

            if (imos[ny][nx] != 0)
            {
                continue;
            }

            imos[ny][nx] = 1;

            que.push(P{ny, nx});
        }
    }

    return;
}

int main()
{
    cin.tie(0);
    ios::sync_with_stdio(false);

    while (cin >> W >> H >> N, W)
    {
        memset(imos, 0, sizeof(imos));

        vector<ll> sx, ex, sy, ey, X, Y;

        sx.resize(N, 0);
        sy.resize(N, 0);
        ex.resize(N, 0);
        ey.resize(N, 0);

        REP(i, N)
        {
            cin >> sx[i] >> sy[i] >> ex[i] >> ey[i];

            X.push_back(sx[i]);
            X.push_back(ex[i]);
            Y.push_back(sy[i]);
            Y.push_back(ey[i]);
        }

        X.push_back(0);
        X.push_back(W);
        Y.push_back(0);
        Y.push_back(H);

        sort(ALL(X));
        sort(ALL(Y));

        X.erase(unique(ALL(X)), X.end());
        Y.erase(unique(ALL(Y)), Y.end());

        REP(i, N)
        {
            int x1 = lower_bound(ALL(X), sx[i]) - X.begin();
            int x2 = lower_bound(ALL(X), ex[i]) - X.begin();

            int y1 = lower_bound(ALL(Y), sy[i]) - Y.begin();
            int y2 = lower_bound(ALL(Y), ey[i]) - Y.begin();

            imos[x1][y1]++;
            imos[x2][y2]++;
            imos[x1][y2]--;
            imos[x2][y1]--;
        }

        H = Size(X) - 1;
        W = Size(Y) - 1;

        REP(y, H)
        {
            REP(x, W)
            {
                if (x == 0)
                    continue;

                imos[y][x] += imos[y][x - 1];
            }
        }

        REP(y, H)
        {
            REP(x, W)
            {
                if (y == 0)
                    continue;

                imos[y][x] += imos[y - 1][x];
            }
        }

        int ans = 0;

        REP(y, H)
        {
            REP(x, W)
            {
                if (imos[y][x] == 0)
                {
                    ans++;
                    bfs(y, x);
                }
            }
        }

        Cout(ans);
    }

    return 0;
}


Measured memory_bytes: 7172