Submission #502133

#TimeUsernameProblemLanguageResultExecution timeMemory
502133MardukCards (LMIO19_korteles)C++14
100 / 100
342 ms29380 KiB
#include <string>
#include <vector>
#include <iostream>
#include <unordered_set>
using namespace std;
inline int hashing(string s) {
	return int(s[0] - 'A') * 26 * 26 * 26 + int(s[1] - 'A') * 26 * 26 + int(s[2] - 'A') * 26 + int(s[3] - 'A');
}
int main() {
	cin.tie(0);
	ios_base::sync_with_stdio(false);
	int N;
	cin >> N;
	vector<vector<int> > gl(676), gr(676), gu(676), gd(676);
	vector<string> s(N);
	vector<bool> st(676 * 676);
	for (int i = 0; i < N; ++i) {
		string sa, sb;
		cin >> sa >> sb;
		s[i] = sa + sb;
		int cu = int(s[i][0] - 'A') * 26 + int(s[i][1] - 'A');
		int cd = int(s[i][2] - 'A') * 26 + int(s[i][3] - 'A');
		int cl = int(s[i][0] - 'A') * 26 + int(s[i][2] - 'A');
		int cr = int(s[i][1] - 'A') * 26 + int(s[i][3] - 'A');
		gu[cu].push_back(cd);
		gd[cd].push_back(cu);
		gl[cl].push_back(cr);
		gr[cr].push_back(cl);
		st[hashing(s[i])] = true;
	}
	int ans = 0;
	for (int i = 0; i < 676; ++i) {
		vector<int> va = gl[i], vb = gr[i];
		ans += va.size() * vb.size();
		vector<bool> fa(676), fb(676);
		for (int j : va) fa[j] = true;
		for (int j : vb) fb[j] = true;
		if (fa[i] && fb[i]) --ans;
	}
	for (int i = 0; i < 676; ++i) {
		vector<int> va = gu[i], vb = gd[i];
		ans += va.size() * vb.size();
		vector<bool> fa(676), fb(676);
		for (int j : va) fa[j] = true;
		for (int j : vb) fb[j] = true;
		if (fa[i] && fb[i]) --ans;
	}
	int twos = 0, fours = 0;
	for (int i = 0; i < N; ++i) {
		string opp1 = string(1, s[i][2]) + string(1, s[i][3]) + string(1, s[i][0]) + string(1, s[i][1]);
		string opp2 = string(1, s[i][1]) + string(1, s[i][0]) + string(1, s[i][3]) + string(1, s[i][2]);
		if (s[i] != opp1 && st[hashing(opp1)]) ++twos;
		if (s[i] != opp2 && st[hashing(opp2)]) ++twos;
		if (s[i][1] == s[i][2]) {
			for (char c = 'A'; c <= 'Z'; ++c) {
				string opp3 = string(1, c) + string(1, s[i][0]) + string(1, s[i][0]) + string(1, s[i][1]);
				string opp4 = string(1, s[i][2]) + string(1, s[i][3]) + string(1, s[i][3]) + string(1, c);
				if (s[i] != opp3 && st[hashing(opp3)]) ++twos;
				if (s[i] != opp4 && st[hashing(opp4)]) ++twos;
			}
		}
		if (s[i][0] == s[i][3]) {
			for (char c = 'A'; c <= 'Z'; ++c) {
				string opp3 = string(1, s[i][1]) + string(1, c) + string(1, s[i][0]) + string(1, s[i][1]);
				string opp4 = string(1, s[i][2]) + string(1, s[i][3]) + string(1, c) + string(1, s[i][2]);
				if (s[i] != opp3 && st[hashing(opp3)]) ++twos;
				if (s[i] != opp4 && st[hashing(opp4)]) ++twos;
			}
		}
		if (s[i][0] == s[i][3] && s[i][1] == s[i][2]) {
			string opp5 = string(1, s[i][1]) + string(1, s[i][0]) + string(1, s[i][0]) + string(1, s[i][1]);
			if (s[i] != opp5 && st[hashing(opp5)]) ++fours;
		}
	}
	twos /= 2;
	fours /= 2;
	cout << ans - twos + fours * 3 << endl;
	return 0;
}
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