void main() { import std.stdio, std.string, std.conv, std.algorithm; import core.bitop : popcnt; const mod = 10 ^^ 8 + 7; long powmod(long b, long e) { if (e == 0) return 1; else if (e == 1) return b; else if (e & 1) return b * powmod(b, e - 1) % mod; else return powmod(b * b % mod, e / 2); } int h, w, k; rd(h, w, k); struct P { int y, x, idx; } auto fac = new long[](h + w + 1), inv = new long[](h + w + 1); fac[0] = inv[0] = 1; foreach (i; 1 .. (h + w + 1)) { fac[i] = fac[i - 1] * i % mod; inv[i] = powmod(fac[i], mod - 2); } long cmb(int n, int r) { if (r < 0 || n < r) return 0; else return fac[n] * inv[r] % mod * inv[n - r] % mod; } auto abi = new P[](k); foreach (i; 0 .. k) { int y, x; rd(y, x); abi[i] = P(y, x, i); } abi.sort!((p, q) => (p.y == q.y ? p.x < q.x : p.y < q.y)); auto dp = new long[](1 << k); fill(dp, 1); foreach (bits; 0 .. (1 << k)) { int cur_x = 0, cur_y = 0; foreach (p; abi) { if (bits & (1 << p.idx)) { int dy = p.y - cur_y, dx = p.x - cur_x; dp[bits] = dp[bits] * cmb(dy + dx, dy) % mod; cur_y = p.y; cur_x = p.x; } } dp[bits] = dp[bits] * cmb((h - cur_y) + (w - cur_x), h - cur_y) % mod; } foreach (i; 0 .. k) { foreach (bits; 0 .. (1 << k)) { if ((bits & (1 << i)) == 0) { dp[bits ^ (1 << i)] = (dp[bits ^ (1 << i)] + (mod - dp[bits])) % mod; } } } foreach (bits, x; dp) { if (popcnt(bits) & 1) writeln(mod - x); else writeln(x); } } void rd(T...)(ref T x) { import std.stdio, std.string, std.conv; auto l = readln.split; assert(l.length == x.length); foreach (i, ref e; x) e = l[i].to!(typeof(e)); }