import java.io.*; import java.util.*; public class Main_yukicoder506 { private static Scanner sc; private static Printer pr; private static void solve() { int h = sc.nextInt(); int w = sc.nextInt(); int k = sc.nextInt(); int p = sc.nextInt(); int[] x = new int[k]; int[] y = new int[k]; String[] n = new String[k]; for (int i = 0; i < k; i++) { y[i] = sc.nextInt(); x[i] = sc.nextInt(); n[i] = sc.next(); } long ret = 0; int retm = 0; for (int mask = 0; mask < 0x1 << k; mask++) { if (Integer.bitCount(mask) > p) { continue; } long[][] maze = new long[h + 1][w + 1]; for (int i = 0; i < k; i++) { if ((mask & (0x1 << i)) == 0) { maze[y[i]][x[i]] = -1; } } long tmp = cnt(maze); if (tmp > ret) { ret = Math.max(ret, tmp); retm = mask; } } pr.println(ret % 1_000_000_007); for (int i = 0; i < k; i++) { if ((retm & (0x1 << i)) != 0) { pr.println(n[i]); } } } private static long cnt(long[][] maze) { if (maze[0][0] == -1) { return 0; } int[] dx = {1, 0}; int[] dy = {0, 1}; int h = maze.length; int w = maze[0].length; maze[0][0] = 1; for (int i = 0; i < h; i++) { for (int j = 0; j < w; j++) { if (maze[i][j] == -1) { continue; } for (int k = 0, size = dx.length; k < size; k++) { int nx = j + dx[k]; int ny = i + dy[k]; if (nx < 0 || nx >= w || ny < 0 || ny >= h) { continue; } if (maze[ny][nx] != -1) { maze[ny][nx] += maze[i][j]; } } } } if (maze[h - 1][w - 1] == -1) { return 0; } else { return maze[h - 1][w - 1]; } } // --------------------------------------------------- public static void main(String[] args) { sc = new Scanner(System.in); pr = new Printer(System.out); solve(); pr.close(); sc.close(); } @SuppressWarnings("unused") private static class Scanner { BufferedReader br; Scanner (InputStream in) { br = new BufferedReader(new InputStreamReader(in)); } private boolean isPrintable(int ch) { return ch >= '!' && ch <= '~'; } private boolean isCRLF(int ch) { return ch == '\n' || ch == '\r' || ch == -1; } private int nextPrintable() { try { int ch; while (!isPrintable(ch = br.read())) { if (ch == -1) { throw new NoSuchElementException(); } } return ch; } catch (IOException e) { throw new NoSuchElementException(); } } String next() { try { int ch = nextPrintable(); StringBuilder sb = new StringBuilder(); do { sb.appendCodePoint(ch); } while (isPrintable(ch = br.read())); return sb.toString(); } catch (IOException e) { throw new NoSuchElementException(); } } int nextInt() { try { // parseInt from Integer.parseInt() boolean negative = false; int res = 0; int limit = -Integer.MAX_VALUE; int radix = 10; int fc = nextPrintable(); if (fc < '0') { if (fc == '-') { negative = true; limit = Integer.MIN_VALUE; } else if (fc != '+') { throw new NumberFormatException(); } fc = br.read(); } int multmin = limit / radix; int ch = fc; do { int digit = ch - '0'; if (digit < 0 || digit >= radix) { throw new NumberFormatException(); } if (res < multmin) { throw new NumberFormatException(); } res *= radix; if (res < limit + digit) { throw new NumberFormatException(); } res -= digit; } while (isPrintable(ch = br.read())); return negative ? res : -res; } catch (IOException e) { throw new NoSuchElementException(); } } long nextLong() { try { // parseLong from Long.parseLong() boolean negative = false; long res = 0; long limit = -Long.MAX_VALUE; int radix = 10; int fc = nextPrintable(); if (fc < '0') { if (fc == '-') { negative = true; limit = Long.MIN_VALUE; } else if (fc != '+') { throw new NumberFormatException(); } fc = br.read(); } long multmin = limit / radix; int ch = fc; do { int digit = ch - '0'; if (digit < 0 || digit >= radix) { throw new NumberFormatException(); } if (res < multmin) { throw new NumberFormatException(); } res *= radix; if (res < limit + digit) { throw new NumberFormatException(); } res -= digit; } while (isPrintable(ch = br.read())); return negative ? res : -res; } catch (IOException e) { throw new NoSuchElementException(); } } float nextFloat() { return Float.parseFloat(next()); } double nextDouble() { return Double.parseDouble(next()); } String nextLine() { try { int ch; while (isCRLF(ch = br.read())) { if (ch == -1) { throw new NoSuchElementException(); } } StringBuilder sb = new StringBuilder(); do { sb.appendCodePoint(ch); } while (!isCRLF(ch = br.read())); return sb.toString(); } catch (IOException e) { throw new NoSuchElementException(); } } void close() { try { br.close(); } catch (IOException e) { // throw new NoSuchElementException(); } } } private static class Printer extends PrintWriter { Printer(PrintStream out) { super(out); } } }