import std.conv, std.functional, std.stdio, std.string; import std.algorithm, std.array, std.bigint, std.container, std.math, std.numeric, std.range, std.regex, std.typecons; import core.bitop; class EOFException : Throwable { this() { super("EOF"); } } string[] tokens; string readToken() { for (; tokens.empty; ) { if (stdin.eof) { throw new EOFException; } tokens = readln.split; } auto token = tokens.front; tokens.popFront; return token; } int readInt() { return readToken.to!int; } long readLong() { return readToken.to!long; } real readReal() { return readToken.to!real; } bool chmin(T)(ref T t, in T f) { if (t > f) { t = f; return true; } else { return false; } } bool chmax(T)(ref T t, in T f) { if (t < f) { t = f; return true; } else { return false; } } int binarySearch(alias pred, T)(in T[] as) { int lo = -1, hi = cast(int)(as.length); for (; lo + 1 < hi; ) { const mid = (lo + hi) >> 1; (unaryFun!pred(as[mid]) ? hi : lo) = mid; } return hi; } int lowerBound(T)(in T[] as, T val) { return as.binarySearch!(a => (a >= val)); } int upperBound(T)(in T[] as, T val) { return as.binarySearch!(a => (a > val)); } enum MO = 10L^^8 + 7; enum LIM = 3 * 10^^5; long[] inv, fac, invFac; void prepare() { inv = new long[LIM]; fac = new long[LIM]; invFac = new long[LIM]; inv[1] = 1; foreach (i; 2 .. LIM) { inv[i] = MO - ((MO / i) * inv[cast(size_t)(MO % i)]) % MO; } fac[0] = invFac[0] = 1; foreach (i; 1 .. LIM) { fac[i] = (fac[i - 1] * i) % MO; invFac[i] = (invFac[i - 1] * inv[i]) % MO; } } long binom(long n, long k) { if (0 <= k && k <= n) { assert(n < LIM); return fac[cast(size_t)(n)] * invFac[cast(size_t)(k)] % MO * invFac[cast(size_t)(n - k)] % MO; } else { return 0; } } long calc(int dx, int dy) { return (dx >= 0 && dy >= 0) ? binom(dx + dy, dx) : 0; } int H, W, K; Tuple!(int, "x", int, "y", int, "id")[] P; void main() { prepare(); try { for (; ; ) { H = readInt(); W = readInt(); K = readInt(); P.length = K; foreach (i; 0 .. K) { P[i].x = readInt(); P[i].y = readInt(); P[i].id = i; } P.sort; auto dp = new long[K]; auto ans = new long[1 << K]; void dfs(int i, int f) { if (i == K) { ans[f] = calc(H - 0, W - 0); foreach (j; 0 .. i) { ans[f] -= dp[j] * calc(H - P[j].x, W - P[j].y); ans[f] %= MO; } } else { // passable dp[i] = 0; dfs(i + 1, f); // impassable dp[i] = calc(P[i].x - 0, P[i].y - 0); foreach (j; 0 .. i) { dp[i] -= dp[j] * calc(P[i].x - P[j].x, P[i].y - P[j].y); dp[i] %= MO; } dfs(i + 1, f | 1 << P[i].id); } } dfs(0, 0); foreach (f; 0 .. 1 << K) { if (ans[f] < 0) { ans[f] += MO; } writeln(ans[f]); } } } catch (EOFException e) { } }