This submission is migrated from previous version of oj.uz, which used different machine for grading. This submission may have different result if resubmitted.
/*************************************
* author: marvinthang *
* created: 22.11.2023 16:30:03 *
*************************************/
#include "rainbow.h"
#include <bits/stdc++.h>
using namespace std;
#define fi first
#define se second
#define left ___left
#define right ___right
#define TIME (1.0 * clock() / CLOCKS_PER_SEC)
#define MASK(i) (1LL << (i))
#define BIT(x, i) ((x) >> (i) & 1)
#define __builtin_popcount __builtin_popcountll
#define ALL(v) (v).begin(), (v).end()
#define REP(i, n) for (int i = 0, _n = (n); i < _n; ++i)
#define REPD(i, n) for (int i = (n); i-- > 0; )
#define FOR(i, a, b) for (int i = (a), _b = (b); i < _b; ++i)
#define FORD(i, b, a) for (int i = (b), _a = (a); --i >= _a; )
#define FORE(i, a, b) for (int i = (a), _b = (b); i <= _b; ++i)
#define FORDE(i, b, a) for (int i = (b), _a = (a); i >= _a; --i)
#define scan_op(...) istream & operator >> (istream &in, __VA_ARGS__ &u)
#define print_op(...) ostream & operator << (ostream &out, const __VA_ARGS__ &u)
#ifdef LOCAL
#include "debug.h"
#else
#define file(name) if (fopen(name".inp", "r")) { freopen(name".inp", "r", stdin); freopen(name".out", "w", stdout); }
#define DB(...) 23
#define db(...) 23
#define debug(...) 23
#endif
template <class U, class V> scan_op(pair <U, V>) { return in >> u.first >> u.second; }
template <class T> scan_op(vector <T>) { for (size_t i = 0; i < u.size(); ++i) in >> u[i]; return in; }
template <class U, class V> print_op(pair <U, V>) { return out << '(' << u.first << ", " << u.second << ')'; }
template <size_t i, class T> ostream & print_tuple_utils(ostream &out, const T &tup) { if constexpr(i == tuple_size<T>::value) return out << ")"; else return print_tuple_utils<i + 1, T>(out << (i ? ", " : "(") << get<i>(tup), tup); }
template <class ...U> print_op(tuple<U...>) { return print_tuple_utils<0, tuple<U...>>(out, u); }
template <class Con, class = decltype(begin(declval<Con>()))> typename enable_if <!is_same<Con, string>::value, ostream&>::type operator << (ostream &out, const Con &con) { out << '{'; for (__typeof(con.begin()) it = con.begin(); it != con.end(); ++it) out << (it == con.begin() ? "" : ", ") << *it; return out << '}'; }
int R, C;
vector <vector <bool>> board;
vector <vector <int>> rows, cols;
void init(int r, int c, int sr, int sc, int M, char *S) {
R = r; C = c;
rows.resize(R);
cols.resize(C);
--sr; --sc;
board.assign(R, vector<bool>(C));
board[sr][sc] = true;
rows[sr].push_back(sc);
cols[sc].push_back(sr);
REP(i, M) {
if (S[i] == 'N') --sr;
else if (S[i] == 'S') ++sr;
else if (S[i] == 'W') --sc;
else ++sc;
board[sr][sc] = true;
rows[sr].push_back(sc);
cols[sc].push_back(sr);
}
// vector <int> exist(C);
REP(r, R) {
sort(ALL(rows[r]));
rows[r].erase(unique(ALL(rows[r])), rows[r].end());
}
REP(c, C) {
sort(ALL(cols[c]));
cols[c].erase(unique(ALL(cols[c])), cols[c].end());
}
}
bool exist(int x, int y) {
return binary_search(ALL(rows[x]), y);
}
int colour(int ar, int ac, int br, int bc) {
--ar; --ac; --br; --bc;
bool ex = false;
int cnt_border = 0;
for (int r: {ar, br}) cnt_border += upper_bound(ALL(rows[r]), bc) - lower_bound(ALL(rows[r]), ac);
for (int c: {ac, bc}) cnt_border += upper_bound(ALL(cols[c]), br) - lower_bound(ALL(cols[c]), ar);
int res = 0;
res += 1 - exist(ar, ac) - exist(ar, bc) - exist(br, ac) - exist(br, bc);
FORE(x, ar, br) FORE(y, ac, bc) if (board[x][y]) {
ex = true;
--res;
if (x == ar) {
if (y > ac && board[x][y - 1]) --res;
} else res += board[x - 1][y];
if (x == br) {
if (y > ac && board[x][y - 1]) --res;
}
if (y == ac) {
if (x > ar && board[x - 1][y]) --res;
} else res += board[x][y - 1];
if (y == bc) {
if (x > ar && board[x - 1][y]) --res;
}
if (x > ar && y > ac && board[x - 1][y - 1] && !board[x - 1][y] && !board[x][y - 1]) ++res;
if (x > ar && y < bc && board[x - 1][y + 1] && !board[x - 1][y] && !board[x][y + 1]) ++res;
if (x > ar && y > ac && board[x - 1][y - 1] && board[x - 1][y] && board[x][y - 1]) --res;
}
return res + cnt_border + (ex && !cnt_border);
}
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