Submission #1074944

#TimeUsernameProblemLanguageResultExecution timeMemory
1074944pawnedNaval battle (CEOI24_battle)C++17
46 / 100
2499 ms1048576 KiB
#pragma GCC optimize("O1,O2,O3,Ofast,unroll-loops")
 
#include <bits/stdc++.h>
using namespace std;
 
#define fi first
#define se second
#define pb push_back
typedef long long ll;
typedef pair<ll, ll> ii;
typedef vector<ll> vi;
 
const char nl = '\n';
 
void fastIO() {
	ios::sync_with_stdio(false);
	cin.tie(0);
}
 
ll norm(ll x, ll y) {
	x %= y;
	x += y;
	x %= y;
	return x;
}
 
ll intersect(pair<int, ii> s1, pair<int, ii> s2) {
//	cout<<"at "<<"("<<s1.fi<<", "<<s1.se.fi<<", "<<s1.se.se<<"); ("<<s2.fi<<", "<<s2.se.fi<<", "<<s2.se.se<<")"<<endl;
	// time if intersect, -1 if not
	if (s1.fi > s2.fi)	// ensure first is less than second
		swap(s1, s2);
	if (s1.fi == s2.fi)	// if same direction, never intersect
		return -1;
	if (s1.fi == 0 && s2.fi == 1) {	// x coord const, first increasing
		if (s1.se.fi != s2.se.fi)
			return -1;
		if (norm(s1.se.se + s2.se.se, 2) == 1 || s1.se.se > s2.se.se)
			return -1;
		return abs(s2.se.se - s1.se.se) / 2;
	}
	if (s1.fi == 2 && s2.fi == 3) {	// y coord const, first increasing
//		cout<<"hi"<<endl;
		if (s1.se.se != s2.se.se)
			return -1;
//		cout<<"emkek "<<s1.se.fi<<", "<<s2.se.fi<<endl;
		if (norm(s1.se.fi + s2.se.fi, 2) == 1 || s1.se.fi > s2.se.fi)
			return -1;

//		cout<<"still here"<<endl;
		return abs(s2.se.fi - s1.se.fi) / 2;
	}
	// first going N/S, other going E/W
	ii ins = {s1.se.fi, s2.se.se};
//	cout<<"ins: "<<ins.fi<<", "<<ins.se<<endl;
	ll t1 = ins.se - s1.se.se;
	if (s1.fi == 1)
		t1 = -t1;
	ll t2 = ins.fi - s2.se.fi;
//	cout<<"t1, t2: "<<t1<<" "<<t2<<endl;
	if (s2.fi == 3)
		t2 = -t2;
	if (t1 == t2 && t1 > 0)
		return t1;
	return -1;
}
 
int main() {
	map<char, int> conv = {{'S', 0}, {'N', 1}, {'E', 2}, {'W', 3}};
	fastIO();
	int N;
	cin>>N;
	vector<pair<int, ii>> ships;
	// {type, {x, y}}
	for (int i = 0; i < N; i++) {
		ll x, y; char d;
		cin>>x>>y>>d;
		ships.pb({conv[d], {x, y}});
	}
/*	cout<<"ships: ";
	for (pair<int, ii> p : ships)
		cout<<"("<<p.fi<<", "<<p.se.fi<<", "<<p.se.se<<"); ";
	cout<<endl;*/
	vector<pair<ll, ii>> sink;
	for (int i = 0; i < N; i++) {
		for (int j = i + 1; j < N; j++) {
			ll res = intersect(ships[i], ships[j]);
			if (res != -1)
				sink.pb({res, {i, j}});
		}
	}
	sort(sink.begin(), sink.end());	// comment if TLE
/*	cout<<"sinking: "<<endl;
	for (pair<ll, ii> p : sink)
		cout<<p.fi<<" "<<p.se.fi<<" "<<p.se.se<<endl;*/
	map<ll, vector<ii>> allr;
	for (pair<ll, ii> p : sink) {
		allr[p.fi].pb(p.se);
	}
	vector<bool> alive(N, true);	// still alive
	for (pair<ll, vector<ii>> pr : allr) {
//		cout<<"at "<<pr.fi<<endl;
		set<int> toremove;
		for (ii p : pr.se) {
			if (alive[p.fi] && alive[p.se]) {
				toremove.insert(p.fi);
				toremove.insert(p.se);
			}
		}
		for (int x : toremove) {
//			cout<<"removed "<<x<<endl;
			alive[x] = false;
		}
	}
//	cout<<"ANSWER: "<<endl;
	for (int i = 0; i < N; i++) {
		if (alive[i])
			cout<<(i + 1)<<endl;
	}
}

// subtasks 1-5: O(N^2logN)
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