#include <bits/stdc++.h>
#define whlie while
#define pb push_back
#define eb emplace_back
#define fi first
#define se second
#define rep(i,N) for(int i = 0; i < (N); i++)
#define repr(i,N) for(int i = (N) - 1; i >= 0; i--)
#define rep1(i,N) for(int i = 1; i <= (N) ; i++)
#define repr1(i,N) for(int i = (N) ; i > 0 ; i--)
#define each(x,v) for(auto& x : v)
#define all(v) (v).begin(),(v).end()
#define sz(v) ((int)(v).size())
#define ini(...) int __VA_ARGS__; in(__VA_ARGS__)
#define inl(...) ll __VA_ARGS__; in(__VA_ARGS__)
#define ins(...) string __VA_ARGS__; in(__VA_ARGS__)
using namespace std; void solve();
using ll = long long; using vl = vector<ll>;
using vi = vector<int>; using vvi = vector< vector<int> >;
constexpr int inf = 1001001001;
constexpr ll infLL = (1LL << 61) - 1;
struct IoSetupNya {IoSetupNya() { cin.tie(nullptr); ios::sync_with_stdio(false); cout << fixed << setprecision(15); cerr << fixed << setprecision(7);} } iosetupnya;
template<typename T, typename U> inline bool amin(T &x, U y) { return (y < x) ? (x = y, true) : false; }
template<typename T, typename U> inline bool amax(T &x, U y) { return (x < y) ? (x = y, true) : false; }
template<typename T, typename U> ostream& operator <<(ostream& os, const pair<T, U> &p) { os << p.first << " " << p.second; return os; }
template<typename T, typename U> istream& operator >>(istream& is, pair<T, U> &p) { is >> p.first >> p.second; return is; }
template<typename T> ostream& operator <<(ostream& os, const vector<T> &v) { int s = (int)v.size(); rep(i,s) os << (i ? " " : "") << v[i]; return os; }
template<typename T> istream& operator >>(istream& is, vector<T> &v) { for(auto &x : v) is >> x; return is; }
void in(){} template <typename T,class... U> void in(T &t,U &...u){ cin >> t; in(u...);}
void out(){cout << "\n";} template <typename T,class... U> void out(const T &t,const U &...u){ cout << t; if(sizeof...(u)) cout << " "; out(u...);}
template<typename T>void die(T x){out(x); exit(0);}
#ifdef NyaanDebug
  #include "NyaanDebug.h"
  #define trc(...) do { cerr << #__VA_ARGS__ << " = "; dbg_out(__VA_ARGS__);} while(0)
  #define trca(v,N) do { cerr << #v << " = "; array_out(v , N);cout << endl;} while(0)
#else
  #define trc(...)
  #define trca(...)
  int main(){solve();}
#endif
using P = pair<int,int>; using vp = vector<P>;
constexpr int MOD = /** 1000000007; //*/ 998244353;
/////////


template<typename T>
struct BIT2D{
  int H,W;
  vector<vector<T>> bit;
  BIT2D(int H,int W):H(H),W(W){
    bit.resize(H + 1 , vector<T>(W + 1 , 0));
  }
  // 関数の入力のindexは0-originを想定

  // (x,y)にwを足す
  // 範囲外の時は足さない
  void add(int x, int y, T w){
    if(x < 0 || x >= H || y < 0 || y >= W) return;
    for(int a = (++y , ++x); a <= H; a += a & -a){
      for(int b = y ; b <= W; b += b & -b){
        bit[a][b] += w;
      }
    }
  }

  // imos法で[(x1,y1) , (x2,y2)]にwを足す
  void imos(int x1, int y1, int x2, int y2, T w){
    add(x1 , y1 , w);
    add(x1 , y2 + 1 , -w);
    add(x2 + 1 , y1 , -w);
    add(x2 + 1 , y2 + 1 , w);
  }

  //  [(0,0) , (x,y)]の和　閉区間に注意！
  // x,y<0の時は0 x>=H y>=Wのときはx=H-1,y=W-1とみなす
  // ( imos法の時は (x,y)の値を返す )
  T sum(int x, int y){
    if(x < 0 || y < 0) return 0;
    if(x >= H) x = H - 1;
    if(y >= W) y = W - 1;
    T ret = 0;
    for(int a = (++y , ++x) ; a > 0; a -= a & -a){
      for(int b = y; b > 0; b -= b & -b){
        ret += bit[a][b];
      }
    }
    return ret;
  }

  // [(x1,y1) , (x2,y2)] の和
  // x1 > x2, y1 > y2の時はswap
  T sum(int x1,int y1, int x2, int y2){
    if(x1 > x2) swap(x1 , x2);
    if(y1 > y2) swap(y1 , y2);
    return sum(x2,y2)-sum(x2,y1-1)-sum(x1-1,y2)+sum(x1-1,y1-1);
  }
};

void solve(){
  ini(N , K);
  BIT2D<int> bit(2 * K + 1 , 2 * K + 1);
  rep(i , N){
    ini(x , y); 
    x %= (2 * K) , y %= (2 * K);
    char c; in(c);
    if(c == 'B') x = (x + K) % (2 * K);

    bit.add(x , y , 1);
    bit.add( (x + K) % (2 * K) , (y + K) % (2 * K) , 1);

  }

  int ans = 0;
  rep(i , K) rep(j , K){
    int cur = bit.sum(i , j , i + K - 1 , j + K - 1);
    amax(ans , max(cur , N - cur) );
    trc(i , j , cur);
    
  }
  out(ans);
}

Measured memory_bytes: 16000