Submission #831220

# Submission time Handle Problem Language Result Execution time Memory
831220 2023-08-19T23:45:31 Z NK_ Towers (NOI22_towers) C++17
100 / 100
1450 ms 133816 KB
// 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;
	}

	int ROWS = 0, COLS = 0;
	for(int t = 0; t < 2; t++) {
		vi X; for(auto& x : A) X.pb(x.f); 

		sort(begin(X), end(X)); 
		// X.erase(unique(begin(X), end(X)), end(X));

		for(auto& x : A) {
			x.f = lower_bound(begin(X), end(X), x.f) - begin(X);
			swap(x.f, x.s);
		}

		ROWS = sz(X); swap(ROWS, COLS);
	}

	unordered_map<ll, int> IDX; for(int i = 0; i < N; i++) {
		IDX[A[i].f * 1LL * COLS + A[i].s] = i;
	}

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

	const pi EMP = mp(-1, -1);
	vpi RF(ROWS, EMP); 
	vpi RB(ROWS, EMP); 


	vi POS(2 * COLS, -1); int Q = 0;
	vi stk;
	function<void(int)> update = [&](int X) {
		stk.pb(X);

		while(sz(stk)) {

			int x = stk.back(); stk.pop_back(); 
			if (POS[x] == -1) continue;

			// 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) {
				Q++; assert(Q <= 5 * N);

				if (POS[x] < 0 || POS[x] >= sz(C[y])) {
					POS[x] = -1; break;
				}

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

				int r = C[y][POS[x]]; // row

				// check if you can put it in
				if (RB[r] == EMP || RB[r].f < y) { // sz(R[r]) == 2 put in at the back
					if (RB[r] != EMP) {
						int i = RB[r].s;
						RB[r] = mp(y, x);
						stk.pb(i); 
					} else RB[r] = mp(y, x);
					break;
				} 

				if (RF[r] == EMP || y < RF[r].f) { // sz(R[r]) == 2 put in at the front
					if (RF[r] != EMP) {
						int i = RF[r].s;
						RF[r] = mp(y, x);
						stk.pb(i);
					} else RF[r] = mp(y, x);
					break;
				}

				POS[x] += dir;
			}
		}
	};


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

	string ans(N, '0');
	for(auto& p : take) {
		ans[IDX[p.f * 1LL * COLS + p.s]] = '1';
	}

	cout << ans << nl;

	// cerr << Q << endl;


    return 0;
} 	
# Verdict Execution time Memory Grader output
1 Correct 0 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 0 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
# Verdict Execution time Memory Grader output
1 Correct 0 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 0 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 0 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 0 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 1 ms 212 KB Output is correct
19 Correct 0 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 0 ms 212 KB Output is correct
24 Correct 1 ms 212 KB Output is correct
25 Correct 0 ms 212 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 31 ms 10440 KB Output is correct
2 Correct 42 ms 12152 KB Output is correct
3 Correct 116 ms 34592 KB Output is correct
4 Correct 242 ms 67484 KB Output is correct
5 Correct 35 ms 13044 KB Output is correct
6 Correct 7 ms 2924 KB Output is correct
7 Correct 259 ms 63904 KB Output is correct
8 Correct 158 ms 44852 KB Output is correct
9 Correct 412 ms 99252 KB Output is correct
10 Correct 346 ms 84200 KB Output is correct
11 Correct 402 ms 103732 KB Output is correct
12 Correct 439 ms 103560 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 902 ms 107372 KB Output is correct
2 Correct 903 ms 107460 KB Output is correct
3 Correct 913 ms 107476 KB Output is correct
4 Correct 922 ms 107472 KB Output is correct
5 Correct 899 ms 107492 KB Output is correct
6 Correct 1418 ms 133808 KB Output is correct
7 Correct 1402 ms 133796 KB Output is correct
8 Correct 1450 ms 133764 KB Output is correct
9 Correct 1422 ms 133744 KB Output is correct
10 Correct 1412 ms 133816 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 0 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 0 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 0 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 0 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 1 ms 212 KB Output is correct
19 Correct 0 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 0 ms 212 KB Output is correct
24 Correct 1 ms 212 KB Output is correct
25 Correct 0 ms 212 KB Output is correct
26 Correct 3 ms 980 KB Output is correct
27 Correct 3 ms 980 KB Output is correct
28 Correct 3 ms 852 KB Output is correct
29 Correct 3 ms 852 KB Output is correct
30 Correct 3 ms 852 KB Output is correct
31 Correct 3 ms 852 KB Output is correct
32 Correct 3 ms 852 KB Output is correct
33 Correct 3 ms 860 KB Output is correct
34 Correct 3 ms 852 KB Output is correct
35 Correct 3 ms 852 KB Output is correct
36 Correct 2 ms 852 KB Output is correct
37 Correct 2 ms 752 KB Output is correct
38 Correct 2 ms 852 KB Output is correct
39 Correct 2 ms 852 KB Output is correct
40 Correct 2 ms 852 KB Output is correct
41 Correct 2 ms 852 KB Output is correct
42 Correct 2 ms 852 KB Output is correct
43 Correct 2 ms 852 KB Output is correct
44 Correct 2 ms 724 KB Output is correct
45 Correct 2 ms 724 KB Output is correct
46 Correct 2 ms 744 KB Output is correct
47 Correct 2 ms 852 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 0 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 0 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 0 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 0 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 1 ms 212 KB Output is correct
19 Correct 0 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 0 ms 212 KB Output is correct
24 Correct 1 ms 212 KB Output is correct
25 Correct 0 ms 212 KB Output is correct
26 Correct 3 ms 980 KB Output is correct
27 Correct 3 ms 980 KB Output is correct
28 Correct 3 ms 852 KB Output is correct
29 Correct 3 ms 852 KB Output is correct
30 Correct 3 ms 852 KB Output is correct
31 Correct 3 ms 852 KB Output is correct
32 Correct 3 ms 852 KB Output is correct
33 Correct 3 ms 860 KB Output is correct
34 Correct 3 ms 852 KB Output is correct
35 Correct 3 ms 852 KB Output is correct
36 Correct 2 ms 852 KB Output is correct
37 Correct 2 ms 752 KB Output is correct
38 Correct 2 ms 852 KB Output is correct
39 Correct 2 ms 852 KB Output is correct
40 Correct 2 ms 852 KB Output is correct
41 Correct 2 ms 852 KB Output is correct
42 Correct 2 ms 852 KB Output is correct
43 Correct 2 ms 852 KB Output is correct
44 Correct 2 ms 724 KB Output is correct
45 Correct 2 ms 724 KB Output is correct
46 Correct 2 ms 744 KB Output is correct
47 Correct 2 ms 852 KB Output is correct
48 Correct 67 ms 15156 KB Output is correct
49 Correct 64 ms 15172 KB Output is correct
50 Correct 75 ms 14004 KB Output is correct
51 Correct 77 ms 14004 KB Output is correct
52 Correct 59 ms 11488 KB Output is correct
53 Correct 60 ms 11576 KB Output is correct
54 Correct 61 ms 11616 KB Output is correct
55 Correct 53 ms 11296 KB Output is correct
56 Correct 58 ms 11256 KB Output is correct
57 Correct 55 ms 11248 KB Output is correct
58 Correct 49 ms 11184 KB Output is correct
59 Correct 50 ms 11288 KB Output is correct
60 Correct 45 ms 11180 KB Output is correct
61 Correct 45 ms 11280 KB Output is correct
62 Correct 44 ms 11212 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 0 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 0 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 0 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 0 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 1 ms 212 KB Output is correct
19 Correct 0 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 0 ms 212 KB Output is correct
24 Correct 1 ms 212 KB Output is correct
25 Correct 0 ms 212 KB Output is correct
26 Correct 31 ms 10440 KB Output is correct
27 Correct 42 ms 12152 KB Output is correct
28 Correct 116 ms 34592 KB Output is correct
29 Correct 242 ms 67484 KB Output is correct
30 Correct 35 ms 13044 KB Output is correct
31 Correct 7 ms 2924 KB Output is correct
32 Correct 259 ms 63904 KB Output is correct
33 Correct 158 ms 44852 KB Output is correct
34 Correct 412 ms 99252 KB Output is correct
35 Correct 346 ms 84200 KB Output is correct
36 Correct 402 ms 103732 KB Output is correct
37 Correct 439 ms 103560 KB Output is correct
38 Correct 902 ms 107372 KB Output is correct
39 Correct 903 ms 107460 KB Output is correct
40 Correct 913 ms 107476 KB Output is correct
41 Correct 922 ms 107472 KB Output is correct
42 Correct 899 ms 107492 KB Output is correct
43 Correct 1418 ms 133808 KB Output is correct
44 Correct 1402 ms 133796 KB Output is correct
45 Correct 1450 ms 133764 KB Output is correct
46 Correct 1422 ms 133744 KB Output is correct
47 Correct 1412 ms 133816 KB Output is correct
48 Correct 3 ms 980 KB Output is correct
49 Correct 3 ms 980 KB Output is correct
50 Correct 3 ms 852 KB Output is correct
51 Correct 3 ms 852 KB Output is correct
52 Correct 3 ms 852 KB Output is correct
53 Correct 3 ms 852 KB Output is correct
54 Correct 3 ms 852 KB Output is correct
55 Correct 3 ms 860 KB Output is correct
56 Correct 3 ms 852 KB Output is correct
57 Correct 3 ms 852 KB Output is correct
58 Correct 2 ms 852 KB Output is correct
59 Correct 2 ms 752 KB Output is correct
60 Correct 2 ms 852 KB Output is correct
61 Correct 2 ms 852 KB Output is correct
62 Correct 2 ms 852 KB Output is correct
63 Correct 2 ms 852 KB Output is correct
64 Correct 2 ms 852 KB Output is correct
65 Correct 2 ms 852 KB Output is correct
66 Correct 2 ms 724 KB Output is correct
67 Correct 2 ms 724 KB Output is correct
68 Correct 2 ms 744 KB Output is correct
69 Correct 2 ms 852 KB Output is correct
70 Correct 67 ms 15156 KB Output is correct
71 Correct 64 ms 15172 KB Output is correct
72 Correct 75 ms 14004 KB Output is correct
73 Correct 77 ms 14004 KB Output is correct
74 Correct 59 ms 11488 KB Output is correct
75 Correct 60 ms 11576 KB Output is correct
76 Correct 61 ms 11616 KB Output is correct
77 Correct 53 ms 11296 KB Output is correct
78 Correct 58 ms 11256 KB Output is correct
79 Correct 55 ms 11248 KB Output is correct
80 Correct 49 ms 11184 KB Output is correct
81 Correct 50 ms 11288 KB Output is correct
82 Correct 45 ms 11180 KB Output is correct
83 Correct 45 ms 11280 KB Output is correct
84 Correct 44 ms 11212 KB Output is correct
85 Correct 0 ms 212 KB Output is correct
86 Correct 0 ms 212 KB Output is correct
87 Correct 0 ms 212 KB Output is correct
88 Correct 1343 ms 133216 KB Output is correct
89 Correct 1441 ms 133240 KB Output is correct
90 Correct 1375 ms 133288 KB Output is correct
91 Correct 1138 ms 110208 KB Output is correct
92 Correct 1129 ms 110292 KB Output is correct
93 Correct 1194 ms 110236 KB Output is correct
94 Correct 1082 ms 107788 KB Output is correct
95 Correct 1016 ms 107844 KB Output is correct
96 Correct 1044 ms 107864 KB Output is correct
97 Correct 920 ms 108016 KB Output is correct
98 Correct 940 ms 108044 KB Output is correct
99 Correct 930 ms 108104 KB Output is correct
100 Correct 881 ms 105876 KB Output is correct
101 Correct 834 ms 105884 KB Output is correct
102 Correct 831 ms 105540 KB Output is correct
103 Correct 938 ms 105548 KB Output is correct
104 Correct 862 ms 105744 KB Output is correct
105 Correct 842 ms 105616 KB Output is correct
106 Correct 838 ms 104112 KB Output is correct
107 Correct 795 ms 104124 KB Output is correct