MOD = 10 ** 9 + 7 h, w, k, p = map(int, input().split()) points = [] friends = [] for _ in range(k): x, y, name = input().split() points.append((int(x), int(y))) friends.append(name) dp = [[-1 for _ in range(w + 1)] for _ in range(h + 1)] s = None for mask in range(1 << k): ndp = [[0 for _ in range(w + 1)] for _ in range(h + 1)] ndp[0][0] = 1 banned = {} for i in range(k): if (mask >> i) & 1 != 0: continue x, y = points[i] banned[(x, y)] = True if len(banned) != k - p: continue for x in range(h + 1): for y in range(w + 1): if banned.get((x, y), False): continue if x > 0: ndp[x][y] += ndp[x - 1][y] if y > 0: ndp[x][y] += ndp[x][y - 1] if dp[-1][-1] < ndp[-1][-1]: dp = ndp s = mask print(dp[-1][-1] % MOD) if dp[-1][-1] != 0: for i in range(k): if (s >> i) & 1 != 0: print(friends[i])