Submission #831211

#	Submission time	Handle	Problem	Language	Result	Execution time	Memory
831211	2023-08-19T22:56:36 Z	NK_	Towers (NOI22_towers)	C++17	16 / 100	2000 ms	797856 KB

Main

// Success consists of going from failure to failure without loss of enthusiasm
#include <bits/stdc++.h>

using namespace std;
 
#define nl '\n'
#define pb push_back
#define pf push_front

#define mp make_pair
#define f first
#define s second
#define sz(x) int(x.size())
 
template<class T> using V = vector<T>;
using pi = pair<int, int>;
using vi = V<int>;
using vpi = V<pi>;

using ll = long long;
using pl = pair<ll, ll>;
using vpl = V<pl>;
using vl = V<ll>;

using db = long double;

template<class T> using pq = priority_queue<T, V<T>, greater<T>>;

const int MOD = 1e9 + 7;
const ll INFL = ll(1e16) + 10;

int main() {
	cin.tie(0)->sync_with_stdio(0);
	
	int N; cin >> N;
	vpi A(N); for(auto& x : A) cin >> x.f >> x.s;


	for(int t = 0; t < 2; t++) {
		map<int, int> mp; int cur = 0;
		for(auto& x : A) mp[x.f]++;
		for(auto& x : mp) x.s = cur++;
		for(auto& x : A) x.f = mp[x.f], swap(x.f, x.s);
	}

	map<pi, int> IDX; for(int i = 0; i < N; i++) {
		// cerr << A[i].f << " " << A[i].s << " is " << i << endl;
		IDX[A[i]] = i;
	}

	V<vi> C(N);
	for(int i = 0; i < N; i++) C[A[i].s].pb(A[i].f);

	for(int i = 0; i < N; i++) sort(begin(C[i]), end(C[i]));

	V<deque<pi>> R(N); 

	vi POS(2 * N, -1);
	function<void(int)> update = [&](int x) {
		// cerr << "UPDATE " << x << endl;
		if (POS[x] == -1) return;
		// 2*y+c => y is col # and c is dir (0 - dwn (+1), 1 - up (-1));
		int y = x / 2, dir = (x % 2 ? -1 : +1);
		while(1) {
			if (POS[x] < 0 || POS[x] >= sz(C[y])) {
				POS[x] = -1; return;
			}

			if (POS[2*y] == POS[2*y+1]) {
				POS[x] = -1;
				return; // stop because same as other one
			}

			int r = C[y][POS[x]]; // row
			// cerr << x << " " << y << " " << dir << " " << r << endl;

			if (sz(R[r]) == 0) {
				// cerr << "ADDED TO " << r << endl;
				R[r].pb(mp(y, x));
				return;
			}

			// check if you can put it in
			if (R[r].back().f < y) { // sz(R[r]) == 2 put in at the back
				// cerr << "ADDED TO BACK " << r << endl;
				if (sz(R[r]) == 2) {
					int i = R[r].back().s; 
					// cerr << "MUST UPDATE: " << i << endl;
					R[r].pop_back(); 
					R[r].pb(mp(y, x));	
					update(i);
				} else R[r].pb(mp(y, x));	

				return;
			}

			if (y < R[r].front().f) { // sz(R[r]) == 2 put in at the front
				// cerr << "ADDED TO FRONT " << r << endl;
				if (sz(R[r]) == 2) {
					int i = R[r].front().s; 
					// cerr << "MUST UPDATE: " << i << endl;
					R[r].pop_front(); 
					R[r].pf(mp(y, x));
					update(i);
				} else R[r].pf(mp(y, x));
				return;
			}

			POS[x] += dir;
		}
	};

	vi cols; for(int i = 0; i < N; i++) {
		cols.pb(A[i].s);
	}

	sort(begin(cols), end(cols)); cols.erase(unique(begin(cols), end(cols)), end(cols));

	for(auto& c : cols) { 
		// cerr << c << endl;
		// for(auto r : C[c]) cerr << r << " ";
		// cerr << endl;

		POS[2 * c] = 0; 
		update(2 * c); 

		POS[2 * c + 1] = sz(C[c]) - 1;
		update(2 * c + 1);
	}

	vpi take;
	for(int i = 0; i < 2 * N; i++) {
		int c = i / 2; 
		if (0 <= POS[i] && POS[i] < sz(C[c])) {
			take.pb(mp(C[c][POS[i]], c));
			// cerr << i << " " << c << " " << C[c][POS[i]] << endl;
		}
	}

	string ans(N, '0');
	for(auto& p : take) ans[IDX[p]] = '1';

	cout << ans << endl;
	
	auto check = [&]() {
		vi good(N);

		map<int, int> ROW, COL;
		for(int i = 0; i < N; i++) if (ans[i] == '1') {
			ROW[A[i].f]++; COL[A[i].s]++;
		} 

		for(auto p : ROW) if (p.s > 2) assert(false);
		for(auto p : COL) if (p.s > 2) assert(false);

		for(int i = 0; i < N; i++) {
			if (ans[i] == '0') {
				for(int a = 0; a < N; a++) for(int b = 0; b < N; b++) {
					if (a == b) continue;
					if (ans[a] != '1' || ans[b] != '1') continue;
					if ((A[a].f != A[b].f) ^ (A[a].s != A[b].s) ^ 1) continue;

					int l = min(A[a].f, A[b].f), r = max(A[a].f, A[b].f);
					int L = min(A[a].s, A[b].s), R = max(A[a].s, A[b].s);

					// cerr << a << " " << b << endl;
					// cerr << l << " " << r << endl;
					// cerr << L << " " << R << endl;
					// cerr << endl;

					if (l <= A[i].f && A[i].f <= r && L <= A[i].s && A[i].s <= R) {
						good[i] = 1;
					}
				}
			} else good[i] = 1;
		}

		assert(accumulate(begin(good), end(good), 0) == N);
	};

	check();


    return 0;
}

Subtask #1
5.0 / 5.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	1 ms	212 KB	Output is correct
2	Correct	0 ms	212 KB	Output is correct
3	Correct	0 ms	212 KB	Output is correct
4	Correct	0 ms	212 KB	Output is correct
5	Correct	1 ms	212 KB	Output is correct
6	Correct	0 ms	212 KB	Output is correct
7	Correct	1 ms	212 KB	Output is correct
8	Correct	0 ms	212 KB	Output is correct
9	Correct	0 ms	212 KB	Output is correct
10	Correct	0 ms	212 KB	Output is correct

Subtask #2
11.0 / 11.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	1 ms	212 KB	Output is correct
2	Correct	0 ms	212 KB	Output is correct
3	Correct	0 ms	212 KB	Output is correct
4	Correct	0 ms	212 KB	Output is correct
5	Correct	1 ms	212 KB	Output is correct
6	Correct	0 ms	212 KB	Output is correct
7	Correct	1 ms	212 KB	Output is correct
8	Correct	0 ms	212 KB	Output is correct
9	Correct	0 ms	212 KB	Output is correct
10	Correct	0 ms	212 KB	Output is correct
11	Correct	1 ms	212 KB	Output is correct
12	Correct	0 ms	212 KB	Output is correct
13	Correct	0 ms	212 KB	Output is correct
14	Correct	0 ms	212 KB	Output is correct
15	Correct	1 ms	212 KB	Output is correct
16	Correct	0 ms	212 KB	Output is correct
17	Correct	0 ms	212 KB	Output is correct
18	Correct	0 ms	212 KB	Output is correct
19	Correct	1 ms	212 KB	Output is correct
20	Correct	0 ms	212 KB	Output is correct
21	Correct	0 ms	212 KB	Output is correct
22	Correct	0 ms	212 KB	Output is correct
23	Correct	1 ms	212 KB	Output is correct
24	Correct	0 ms	212 KB	Output is correct
25	Correct	1 ms	212 KB	Output is correct

Subtask #3
0 / 7.0

#	Verdict	Execution time	Memory	Grader output
1	Execution timed out	2054 ms	73668 KB	Time limit exceeded
2	Halted	0 ms	0 KB	-

Subtask #4
0 / 6.0

#	Verdict	Execution time	Memory	Grader output
1	Execution timed out	2088 ms	797856 KB	Time limit exceeded
2	Halted	0 ms	0 KB	-

Subtask #5
0 / 31.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	1 ms	212 KB	Output is correct
2	Correct	0 ms	212 KB	Output is correct
3	Correct	0 ms	212 KB	Output is correct
4	Correct	0 ms	212 KB	Output is correct
5	Correct	1 ms	212 KB	Output is correct
6	Correct	0 ms	212 KB	Output is correct
7	Correct	1 ms	212 KB	Output is correct
8	Correct	0 ms	212 KB	Output is correct
9	Correct	0 ms	212 KB	Output is correct
10	Correct	0 ms	212 KB	Output is correct
11	Correct	1 ms	212 KB	Output is correct
12	Correct	0 ms	212 KB	Output is correct
13	Correct	0 ms	212 KB	Output is correct
14	Correct	0 ms	212 KB	Output is correct
15	Correct	1 ms	212 KB	Output is correct
16	Correct	0 ms	212 KB	Output is correct
17	Correct	0 ms	212 KB	Output is correct
18	Correct	0 ms	212 KB	Output is correct
19	Correct	1 ms	212 KB	Output is correct
20	Correct	0 ms	212 KB	Output is correct
21	Correct	0 ms	212 KB	Output is correct
22	Correct	0 ms	212 KB	Output is correct
23	Correct	1 ms	212 KB	Output is correct
24	Correct	0 ms	212 KB	Output is correct
25	Correct	1 ms	212 KB	Output is correct
26	Correct	7 ms	4948 KB	Output is correct
27	Correct	7 ms	4948 KB	Output is correct
28	Execution timed out	2078 ms	4564 KB	Time limit exceeded
29	Halted	0 ms	0 KB	-

Subtask #6
0 / 21.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	1 ms	212 KB	Output is correct
2	Correct	0 ms	212 KB	Output is correct
3	Correct	0 ms	212 KB	Output is correct
4	Correct	0 ms	212 KB	Output is correct
5	Correct	1 ms	212 KB	Output is correct
6	Correct	0 ms	212 KB	Output is correct
7	Correct	1 ms	212 KB	Output is correct
8	Correct	0 ms	212 KB	Output is correct
9	Correct	0 ms	212 KB	Output is correct
10	Correct	0 ms	212 KB	Output is correct
11	Correct	1 ms	212 KB	Output is correct
12	Correct	0 ms	212 KB	Output is correct
13	Correct	0 ms	212 KB	Output is correct
14	Correct	0 ms	212 KB	Output is correct
15	Correct	1 ms	212 KB	Output is correct
16	Correct	0 ms	212 KB	Output is correct
17	Correct	0 ms	212 KB	Output is correct
18	Correct	0 ms	212 KB	Output is correct
19	Correct	1 ms	212 KB	Output is correct
20	Correct	0 ms	212 KB	Output is correct
21	Correct	0 ms	212 KB	Output is correct
22	Correct	0 ms	212 KB	Output is correct
23	Correct	1 ms	212 KB	Output is correct
24	Correct	0 ms	212 KB	Output is correct
25	Correct	1 ms	212 KB	Output is correct
26	Correct	7 ms	4948 KB	Output is correct
27	Correct	7 ms	4948 KB	Output is correct
28	Execution timed out	2078 ms	4564 KB	Time limit exceeded
29	Halted	0 ms	0 KB	-

Subtask #7
0 / 19.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	1 ms	212 KB	Output is correct
2	Correct	0 ms	212 KB	Output is correct
3	Correct	0 ms	212 KB	Output is correct
4	Correct	0 ms	212 KB	Output is correct
5	Correct	1 ms	212 KB	Output is correct
6	Correct	0 ms	212 KB	Output is correct
7	Correct	1 ms	212 KB	Output is correct
8	Correct	0 ms	212 KB	Output is correct
9	Correct	0 ms	212 KB	Output is correct
10	Correct	0 ms	212 KB	Output is correct
11	Correct	1 ms	212 KB	Output is correct
12	Correct	0 ms	212 KB	Output is correct
13	Correct	0 ms	212 KB	Output is correct
14	Correct	0 ms	212 KB	Output is correct
15	Correct	1 ms	212 KB	Output is correct
16	Correct	0 ms	212 KB	Output is correct
17	Correct	0 ms	212 KB	Output is correct
18	Correct	0 ms	212 KB	Output is correct
19	Correct	1 ms	212 KB	Output is correct
20	Correct	0 ms	212 KB	Output is correct
21	Correct	0 ms	212 KB	Output is correct
22	Correct	0 ms	212 KB	Output is correct
23	Correct	1 ms	212 KB	Output is correct
24	Correct	0 ms	212 KB	Output is correct
25	Correct	1 ms	212 KB	Output is correct
26	Execution timed out	2054 ms	73668 KB	Time limit exceeded
27	Halted	0 ms	0 KB	-

Submission #831211

Compilation message

Subtask #1 5.0 / 5.0

Subtask #2 11.0 / 11.0

Subtask #3 0 / 7.0

Subtask #4 0 / 6.0

Subtask #5 0 / 31.0

Subtask #6 0 / 21.0

Subtask #7 0 / 19.0

Subtask #1
5.0 / 5.0

Subtask #2
11.0 / 11.0

Subtask #3
0 / 7.0

Subtask #4
0 / 6.0

Subtask #5
0 / 31.0

Subtask #6
0 / 21.0

Subtask #7
0 / 19.0