Language: C++

#include <cassert>
#include <cstdio>
#include <cmath>
#include <iostream>
#include <sstream>
#include <string>
#include <vector>
#include <map>
#include <queue>
#include <algorithm>

#ifdef _DEBUG
#define DMP(x) cerr << #x << ": " << x << "\n"
#else
#define DMP(x) ((void)0)
#endif

const int MOD = 1000000007, INF = 1111111111;
using namespace std;
using lint = long long;

template< class T >
struct CumulativeSum2D {
	vector< vector< T > > data;

	CumulativeSum2D(int W, int H) : data(W + 1, vector< int >(H + 1, 0)) {}

	void add(int x, int y, T z) {
		++x, ++y;
		if (x >= data.size() || y >= data[0].size()) return;
		data[x][y] += z;
	}

	void build() {
		for (int i = 1; i < data.size(); i++) {
			for (int j = 1; j < data[i].size(); j++) {
				data[i][j] += data[i][j - 1] + data[i - 1][j] - data[i - 1][j - 1];
			}
		}
	}

	T query(int sx, int sy, int gx, int gy) {
		return (data[gx][gy] - data[sx][gy] - data[gx][sy] + data[sx][sy]);
	}
};

int main() {

	cin.tie(nullptr);
	ios::sync_with_stdio(false);

	lint N, K;
	cin >> N >> K;
	vector<int> used(N);

	CumulativeSum2D<lint> grid(2 * K, 2 * K);
	int x, y; char w;
	for (int i = 0; i < N; i++) {
		cin >> x >> y >> w;
		if (w == 'W') {
			x %= 2 * K;
			y %= 2 * K;
		}
		else {
			x += K;
			x %= 2 * K;
			y %= 2 * K;
		}
		grid.add(x, y, 1);
	}

	grid.build();

	lint ans = 0;
	for (int row = 0; row < K; row++) {
		for (int col = 0; col < K; col++) {
			ans = max(ans, grid.query(row, col, row + K + 1, col + K + 1));
		}
	}
	cout << ans << "\n";

	return 0;
}


Compiler output:
a.cc: In instantiation of 'CumulativeSum2D<T>::CumulativeSum2D(int, int) [with T = long long int]':
a.cc:56:41:   required from here
   56 |         CumulativeSum2D<lint> grid(2 * K, 2 * K);
      |                                                ^
a.cc:26:41: error: no matching function for call to 'std::vector<std::vector<long long int, std::allocator<long long int> >, std::allocator<std::vector<long long int, std::allocator<long long int> > > >::vector(int, std::vector<int>)'
   26 |         CumulativeSum2D(int W, int H) : data(W + 1, vector< int >(H + 1, 0)) {}
      |                                         ^~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
In file included from /usr/include/c++/14/vector:66,
                 from a.cc:7:
/usr/include/c++/14/bits/stl_vector.h:707:9: note: candidate: 'template<class _InputIterator, class> std::vector<_Tp, _Alloc>::vector(_InputIterator, _InputIterator, const allocator_type&) [with <template-parameter-2-2> = _InputIterator; _Tp = std::vector<long long int, std::allocator<long long int> >; _Alloc = std::allocator<std::vector<long long int, std::allocator<long long int> > >]'
  707 |         vector(_InputIterator __first, _InputIterator __last,
      |         ^~~~~~
/usr/include/c++/14/bits/stl_vector.h:707:9: note:   template argument deduction/substitution failed:
a.cc:26:41: note:   deduced conflicting types for parameter '_InputIterator' ('int' and 'std::vector<int>')
   26 |         CumulativeSum2D(int W, int H) : data(W + 1, vector< int >(H + 1, 0)) {}
      |                                         ^~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
/usr/include/c++/14/bits/stl_vector.h:678:7: note: candidate: 'std::vector<_Tp, _Alloc>::vector(std::initializer_list<_Tp>, const allocator_type&) [with _Tp = std::vector<long long int, std::allocator<long long int> >; _Alloc = std::allocator<std::vector<long long int, std::allocator<long long int> > >; allocator_type = std::allocator<std::vector<long long int, std::allocator<long long int> > >]'
  678 |       vector(initializer_list<value_type> __l,
      |       ^~~~~~
/usr/include/c++/14/bits/stl_vector.h:678:43: note:   no known conversion for argument 1 from 'int' to 'std::initializer_list<std::vector<long long int, std::allocator<long long int> > >'
  678 |       vector(initializer_list<value_type> __l,
      |              ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~^~~
/usr/include/c++/14/bits/stl_vector.h:659:7: note: candidate: 'std::vector<_Tp, _Alloc>::vector(std::vector<_Tp, _Alloc>&&, std::__type_identity_t<_Alloc>&) [with _Tp = std::vector<long long int, std::allocator<long long int> >; _Alloc = std::allocator<std::vector<long long int, std::allocator<long long int> > >; std::__type_identity_t<_Alloc> = std::allocator<std::vector<long long int, std::allocator<long long int> > >]'
  659 |       vector(vector&& __rv, const __type_identity_t<allocator_type>& __m)
      |       ^~~~~~
/usr/include/c++/14/bits/stl_vector.h:659:23: note:   no known conversion for argument 1 from 'int' to 'std::vector<std::vector<long long int, std::allocator<long long int> >, std::allocator<std::vector<long long int, std::allocator<long long int> > > >&&'
  659 |       vector(vector&& __rv, const __type_identity_t<allocator_type>& __m)
      |              ~~~~~~~~~^~~~
/usr/include/c++/14/bits/stl_vector.h:640:7: note: candidate: 'std::vector<_Tp, _Alloc>::vector(std::vector<_Tp, _Alloc>&&, const allocator_type&, std::false_type) [with _Tp = std::vector<long long int, std::allocator<long long int> >; _Alloc = std::allocator<std::vector<long long int, std::allocator<long long int> > >; allocator_type = std::allocator<std::vector<long long int, std::allocator<long long int> > >; std::false_type = std::false_type]'
  640 |       vector(vector&& __rv, const allocator_type& __m, false_type)
      |       ^~~~~~
/usr/include/c++/14/bits/stl_vector.h:640:7: note:   candidate expects 3 arguments, 2 provided
/usr/include/c++/14/bits/stl_vector.h:635:7: note: candidate: 'std::vector<_Tp, _Alloc>::vector(std::vector<_Tp, _Alloc>&&, const allocator_type&, std::true_type) [with _Tp = std::vector<long long int, std::allocator<long long int> >; _Alloc = std::allocator<std::vector<long long int, std::allocator<long long int> > >; allocator_type = std::allocator<std::vector<long long int, std::allocator<long long int> > >; std::true_type = std::true_type]'
  635 |       vector(vector&& __rv, const allocator_type& __m, true_type) noexcept
      |       ^~~~~~
/usr/include/c++/14/bits/stl_vector.h:635:7: note:   candidate expects 3 arguments, 2 provided
/usr/include/c++/14/bits/stl_vector.h:624:7: note: candidate: 'std::vector<_Tp, _Alloc>::vector(const std::vector<_Tp, _Alloc>&, std::__type_identity_t<_Alloc>&) [with _Tp = std::vector<long long int, std::allocator<long long int> >; _Alloc = std::allocator<std::vector<long long int, std::allocator<long long int> > >; std::__type_identity_t<_Alloc> = std::allocator<std::vector<long long int, std::allocator<long long int> > >]'
  624 |       vector(const vector& __x, const __type_identity_t<allocator_type>& __a)
      |       ^~~~~~
/usr/include/c++/14/bits/stl_vector.h:624:28: note:   no known conversion for argument 1 from 'int' to 'const std::vector<std::vector<long long int, std::allocator<long long int> >, std::allocator<std::vector<long long int, std::allocator<long long int> > > >&'
  624 |       vector(const vector& __x, const __type_identity_t<allocator_type>& __a)
      |              ~~~~~~~~~~~~~~^~~
/usr/include/c++/14/bits/stl_vector.h:620:7: note: candidate: 'std::vector<_Tp, _Alloc>::vector(std::vector<_Tp, _Alloc>&&) [with _Tp = std::vector<long long int, std::allocator<long long int> >; _Alloc = std::allocator<std::vector<long long int, std::allocator<long long int> > >]'
  620 |       vector(vector&&) noexcept = default;
      |       ^~~~~~
/usr/include/c++/14/bits/stl_vector.h:620:7: note:   candidate expects 1 argument, 2 provided
/usr/include/c++/14/bits/stl_vector.h:601:7: note: candidate: 'std::vector<_Tp, _Alloc>::vector(const std::vector<_Tp, _Alloc>&) [with _Tp = std::vector<long long int, std::allocator<long long int> >; _Alloc = std::allocator<std::vector<long long int, std::allocator<long long int> > >]'
  601 |       vector(const vector& __x)
      |       ^~~~~~
/usr/include/c++/14/bits/stl_vector.h:601:7: note:   candidate expects 1 argument, 2 provided
/usr/include/c++/14/bits/stl_vector.h:569:7: note: candidate: 'std::vector<_Tp, _Alloc>::vector(size_type, const value_type&, const allocator_type&) [with _Tp = std::vector<long long int, std::allocator<long long int> >; _Alloc = std::allocator<std::vector<long long int, std::allocator<long long int> > >; size_type = long unsigned int; value_type = std::vector<long long int, std::allocator<long long int> >; allocator_type = std::allocator<std::vector<long long int, std::allocator<long long int> > >]'
  569 |       vector(size_type __n, const value_type& __value,
      |       ^~~~~~
/usr/include/c++/14/bits/stl_vector.h:569:47: note:   no known conversion for argument 2 from 'std::vector<int>' to 'const std::vector<std::vector<long long int, std::allocator<long long int> >, std::allocator<std::vector<long long int, std::allocator<long long int> > > >::value_type&' {aka 'const std::vector<long long int, std::allocator<long long int> >&'}
  569 |       vector(size_type __n, const value_type& __value,
      |                             ~~~~~~~~~~~~~~~~~~^~~~~~~
/usr/include/c++/14/bits/stl_vector.h:556:7: note: candidate: 'std::vector<_Tp, _Alloc>::vector(size_type, const allocator_type&) [with _Tp = std::vector<long long int, std::allocator<long long int> >; _Alloc = std::allocator<std::vector<long long int, std::allocator<long long int> > >; size_type = long unsigned int; allocator_type = std::allocator<std::vector<long long int, std::allocator<long long int> > >]'
  556 |       vector(size_type __n, const allocator_type& __a = allocator_type())
      |       ^~~~~~
/usr/include/c++/14/bits/stl_vector.h:556:51: note:   no known conversion for argument 2 from 'std::vector<int>' to 'const std::vector<std::vector<long long int, std::allocator<long long int> >, std::allocator<std::vector<long long int, std::allocator<long long int> > > >::allocator_type&' {aka 'const std::allocator<std::vector<long long int, std::allocator<long long int> > >&'}
  556 |       vector(size_type __n, const allocator_type& __a = allocator_type())
      |                             ~~~~~~~~~~~~~~~~~~~~~~^~~~~~~~~~~~~~~~~~~~~~
/usr/include/c++/14/bits/stl_vector.h:542:7: note: candidate: 'std::vector<_Tp, _Alloc>::vector(const allocator_type&) [with _Tp = std::vector<long long int, std::allocator<long long int> >; _Alloc = std::allocator<std::vector<long long int, std::allocator<long long int> > >; allocator_type = std::allocator<std::vector<long long int, std::allocator<long long int> > >]'
  542 |       vector(const allocator_type& __a) _GLIBCXX_NOEXCEPT
      |       ^~~~~~
/usr/include/c++/14/bits/stl_vector.h:542:7: note:   candidate expects 1 argument, 2 provided
/usr/include/c++/14/bits/stl_vector.h:531:7: note: candidate: 'std::vector<_Tp, _Alloc>::vector() [with _Tp = std::vector<long long int, std::allocator<long long int> >; _Alloc = std::allocator<std::vector<long long int, std::allocator<long long int> > >]'
  531 |       vector() = default;
      |       ^~~~~~
/usr/include/c++/14/bits/stl_vector.h:531:7: note:   candidate expects 0 arguments, 2 provided