import std.stdio, std.array, std.string, std.conv, std.algorithm;
import std.typecons, std.range, std.random, std.math, std.container;
import std.numeric, std.bigint, core.bitop, core.stdc.string;

immutable long MOD = 10^^8 + 7;
immutable long MAX = 2 * 10^^5 + 10;
long[] F, G;

void main() {
    auto s = readln.split.map!(to!int);
    auto H = s[0];
    auto W = s[1];
    auto K = s[2];
    auto P = K.iota.map!(i => readln.split.map!(to!int).array ~ i).array;
    P.sort();

    F = new long[](MAX+1);
    F[0] = 1;
    foreach (i; 1..MAX+1) F[i] = F[i-1] * i % MOD;


    auto all = new long[](1<<K); // all[S]: 集合Sに含まれる座標をすべて通る経路数
    auto any = new long[](1<<K); // any[S]: 集合Sに含まれる座標のうち少なくとも1つは通る経路数
    all[0] = comb(H+W, H);

    outer: foreach (mask; 1..(1<<K)) {
        auto A = [0, 0, -1] ~ (K.iota.filter!(i => mask & (1 << P[i][2])).map!(i => P[i]).array) ~ [H, W, -1];
        long tmp = 1;
        foreach (i; 0..A.length.to!int-1) {
            if (A[i][1] > A[i+1][1]) {
                continue outer;
            }
            tmp *= comb(A[i+1][0] - A[i][0] + A[i+1][1] - A[i][1], A[i+1][0] - A[i][0]);
            tmp %= MOD;
        }
        all[mask] = tmp;
    }

    for (int mask = 0; mask < (1<<K); ++mask) {
        int sign = mask.popcnt % 2 ? -1 : 1;
        any[mask] = mask.popcnt % 2 ? -all[mask] : all[mask];
    }

    for (int i = 0; i < K; ++i) {
        for (int mask = 0; mask < (1<<K); ++mask) {
            if (mask & (1 << i)) {
                any[mask] += any[mask ^ (1 << i)];
                any[mask] %= MOD;
            }
	}
    }

    any.each!(a => writeln((a % MOD + MOD) % MOD));
}

long comb(long n, long r) {
    if (n < r) return 0;
    return F[n] * powmod(F[n-r], MOD-2, MOD) % MOD * powmod(F[r], MOD-2, MOD) % MOD;
}

long powmod(long a, long x, long m) {
    long ret = 1;
    while (x) {
        if (x % 2) ret = ret * a % m;
        a = a * a % m;
        x /= 2;
    }
    return ret;
}