This submission is migrated from previous version of oj.uz, which used different machine for grading. This submission may have different result if resubmitted.
#include "rainbow.h"
#include <bits/stdc++.h>
using namespace std;
struct BIT {
	set<pair<int, int>> S;
	vector<vector<int>> bit;
	int R, C;
	void init(int _R, int _C) {
		R = _R;
		C = _C;
		bit.resize(R + 1);
	}
	void add(int x, int y) {
		if (x < 1 || x > R || y < 1 || y > C || S.find({x, y}) != S.end()) {
			return;
		}
		S.insert({x, y});
		for (int i = x; i <= R; i += i & (-i)) {
			bit[i].emplace_back(y);
		}
	}
	void build() {
		for (int i = 1; i <= R; i++) {
			sort(bit[i].begin(), bit[i].end());
		}
	}
	int get(int x, int y) {
		int res = 0;
		for (int i = x; i > 0; i -= i & (-i)) {
			res += upper_bound(bit[i].begin(), bit[i].end(), y) - bit[i].begin();
		}
		return res;
	}
	long long get(int lx, int ly, int rx, int ry) {
		return 1LL * (rx - lx + 1) * (ry - ly + 1) - get(rx, ry) + get(rx, ly - 1) + get(lx - 1, ry) - get(lx - 1, ly - 1);
	}
} V, row_E, col_E, F;
int max_X, min_X, max_Y, min_Y;
void add(int cx, int cy) {
	max_X = max(max_X, cx);
	min_X = min(min_X, cx);
	max_Y = max(max_Y, cy);
	min_Y = min(min_Y, cy);
	V.add(cx, cy);
	row_E.add(cx - 1, cy);
	row_E.add(cx, cy);
	col_E.add(cx, cy - 1);
	col_E.add(cx, cy);
	F.add(cx - 1, cy - 1);
	F.add(cx - 1, cy);
	F.add(cx, cy - 1);
	F.add(cx, cy);
}
void init(int R, int C, int cx, int cy, int M, char *S) {
	V.init(R, C);
	row_E.init(R, C);
	col_E.init(R, C);
	F.init(R, C);
	max_X = cx;
	min_X = cx;
	max_Y = cy;
	min_Y = cy;
	add(cx, cy);
	for (int i = 0; i < M; i++) {
		if (S[i] == 'N') {
			cx--;
		}
		if (S[i] == 'E') {
			cy++;
		}
		if (S[i] == 'S') {
			cx++;
		}
		if (S[i] == 'W') {
			cy--;
		}
		add(cx, cy);
	}
	V.build();
	row_E.build();
	col_E.build();
	F.build();
}
int colour(int lx, int ly, int rx, int ry) {
	return V.get(lx, ly, rx, ry) - row_E.get(lx, ly, rx - 1, ry) - col_E.get(lx, ly, rx, ry - 1) + F.get(lx, ly, rx - 1, ry - 1) + (lx < min_X && max_X < rx && ly < min_Y && max_Y < ry);
}
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