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^^9 + 7;
enum LIM = 100;

int H, W, K, P;
Tuple!(int, "x", int, "y", string, "name", int, "id")[] F;

void main() {
  auto binom = new long[][LIM];
  foreach (n; 0 .. LIM) {
    binom[n] = new long[n + 1];
    binom[n][0] = binom[n][n] = 1;
    foreach (k; 1 .. n) {
      binom[n][k] = binom[n - 1][k - 1] + binom[n - 1][k];
    }
  }
  long calc(int dx, int dy) {
    return (dx >= 0 && dy >= 0) ? binom[dx + dy][dx] : 0;
  }
  
  try {
    for (; ; ) {
      H = readInt();
      W = readInt();
      K = readInt();
      P = readInt();
      F.length = K;
      foreach (i; 0 .. K) {
        F[i].x = readInt();
        F[i].y = readInt();
        F[i].name = readToken();
        F[i].id = i;
      }
      F.sort!((a, b) => ([a.x, a.y] < [b.x, b.y]));
      
      long ans;
      int optP;
      foreach (p; 0 .. 1 << K) {
        if (popcnt(p) <= P) {
          auto dp = new long[K];
          foreach (i; 0 .. K) {
            if (!((p >> i) & 1)) {
              dp[i] = calc(F[i].x - 0, F[i].y - 0);
              foreach (j; 0 .. i) {
                if (!((p >> j) & 1)) {
                  dp[i] -= dp[j] * calc(F[i].x - F[j].x, F[i].y - F[j].y);
                }
              }
            }
          }
          long score = calc(H - 0, W - 0);
          foreach (j; 0 .. K) {
            if (!((p >> j) & 1)) {
              score -= dp[j] * calc(H - F[j].x, W - F[j].y);
            }
          }
          debug {
            writeln(p, " ", score);
          }
          if (chmax(ans, score)) {
            optP = p;
          }
        }
      }
      writeln(ans % MO);
      Tuple!(int, string)[] fs;
      foreach (i; 0 .. K) {
        if ((optP >> i) & 1) {
          fs ~= tuple(F[i].id, F[i].name);
        }
      }
      fs.sort;
      foreach (f; fs) {
        writeln(f[1]);
      }
    }
  } catch (EOFException e) {
  }
}