/// @author Camillus
#include "bits/stdc++.h"
using ll = long long;
using namespace std;
struct dsu {
vector<int> p;
dsu() = default;
dsu(int n) {
p.resize(n);
iota(p.begin(), p.end(), 0);
}
int get(int x) {
if (x == p[x]) {
return x;
} else {
return p[x] = get(p[x]);
}
}
void join(int x, int y) {
x = get(x);
y = get(y);
p[x] = y;
}
};
auto sideN(int x, int y) {
array<pair<int, int>, 4> result;
result[0] = pair(x, y - 1);
result[1] = pair(x, y + 1);
result[2] = pair(x - 1, y);
result[3] = pair(x + 1, y);
return result;
}
auto sideN(const pair<int, int> &pos) {
return sideN(pos.first, pos.second);
}
auto cornerN(int x, int y) {
array<pair<int, int>, 8> result;
// sides
result[0] = pair(x, y - 1);
result[1] = pair(x, y + 1);
result[2] = pair(x - 1, y);
result[3] = pair(x + 1, y);
// corners
result[4] = pair(x + 1, y + 1);
result[5] = pair(x + 1, y - 1);
result[6] = pair(x - 1, y + 1);
result[7] = pair(x - 1, y - 1);
return result;
}
auto cornerN(const pair<int, int> &pos) {
return cornerN(pos.first, pos.second);
}
ll dist(const pair<int, int> &first, const pair<int, int> &second) {
ll x = first.first - second.first;
ll y = first.second - second.second;
return x * x + y * y;
}
mt19937 rnd(228);
signed main() {
ios::sync_with_stdio(false);
cin.tie(nullptr);
int n, t;
cin >> n >> t;
vector<pair<int, int>> a(n);
map<pair<int, int>, int> b;
for (int i = 0; i < n; i++) {
int r, c;
cin >> r >> c;
a[i] = pair(r, c);
b[pair(r, c)] = i;
}
dsu D(n);
for (auto [pos_u, u] : b) {
for (auto pos_v : cornerN(pos_u)) {
if (b.count(pos_v)) {
int v = b[pos_v];
D.join(u, v);
}
}
}
for (int u = 0; u < n; u++) {
if (D.get(u) != D.get(0)) {
cout << "NO\n";
return 0;
}
}
cout << "YES\n";
vector<int> ans;
int start = rnd() % n;
vector<bool> used(n);
set<pair<int, int>> Q;
used[start] = true;
Q.emplace(0, start);
while (!Q.empty()) {
int u = Q.begin()->second;
ans.push_back(u);
Q.erase(Q.begin());
auto pos_u = a[u];
for (auto pos_v : cornerN(pos_u)) {
if (b.count(pos_v)) {
int v = b[pos_v];
if (!used[v]) {
used[v] = true;
Q.emplace(dist(pos_v, a[start]), v);
}
}
}
}
for (int i = 0; i < n; i++) {
cout << ans[i] + 1 << '\n';
}
return 0;
}
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
0 ms |
344 KB |
ans=YES N=1 |
2 |
Correct |
0 ms |
348 KB |
ans=YES N=4 |
3 |
Correct |
0 ms |
348 KB |
ans=NO N=4 |
4 |
Correct |
1 ms |
348 KB |
ans=YES N=5 |
5 |
Correct |
0 ms |
456 KB |
ans=YES N=9 |
6 |
Correct |
0 ms |
348 KB |
ans=YES N=5 |
7 |
Correct |
0 ms |
348 KB |
ans=NO N=9 |
8 |
Correct |
0 ms |
348 KB |
ans=NO N=10 |
9 |
Correct |
0 ms |
348 KB |
ans=YES N=10 |
10 |
Correct |
0 ms |
348 KB |
ans=YES N=10 |
11 |
Correct |
0 ms |
348 KB |
ans=YES N=10 |
12 |
Correct |
0 ms |
348 KB |
ans=YES N=9 |
13 |
Correct |
0 ms |
348 KB |
ans=YES N=9 |
14 |
Correct |
0 ms |
344 KB |
ans=YES N=8 |
15 |
Correct |
0 ms |
348 KB |
ans=YES N=8 |
16 |
Correct |
0 ms |
344 KB |
ans=NO N=2 |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
0 ms |
344 KB |
ans=YES N=1 |
2 |
Correct |
0 ms |
348 KB |
ans=YES N=4 |
3 |
Correct |
0 ms |
348 KB |
ans=NO N=4 |
4 |
Correct |
1 ms |
348 KB |
ans=YES N=5 |
5 |
Correct |
0 ms |
456 KB |
ans=YES N=9 |
6 |
Correct |
0 ms |
348 KB |
ans=YES N=5 |
7 |
Correct |
0 ms |
348 KB |
ans=NO N=9 |
8 |
Correct |
0 ms |
348 KB |
ans=NO N=10 |
9 |
Correct |
0 ms |
348 KB |
ans=YES N=10 |
10 |
Correct |
0 ms |
348 KB |
ans=YES N=10 |
11 |
Correct |
0 ms |
348 KB |
ans=YES N=10 |
12 |
Correct |
0 ms |
348 KB |
ans=YES N=9 |
13 |
Correct |
0 ms |
348 KB |
ans=YES N=9 |
14 |
Correct |
0 ms |
344 KB |
ans=YES N=8 |
15 |
Correct |
0 ms |
348 KB |
ans=YES N=8 |
16 |
Correct |
0 ms |
344 KB |
ans=NO N=2 |
17 |
Correct |
1 ms |
348 KB |
ans=YES N=17 |
18 |
Correct |
0 ms |
348 KB |
ans=YES N=25 |
19 |
Correct |
1 ms |
348 KB |
ans=YES N=100 |
20 |
Correct |
1 ms |
348 KB |
ans=YES N=185 |
21 |
Correct |
0 ms |
348 KB |
ans=NO N=174 |
22 |
Correct |
1 ms |
348 KB |
ans=YES N=90 |
23 |
Correct |
0 ms |
344 KB |
ans=YES N=63 |
24 |
Correct |
1 ms |
348 KB |
ans=YES N=87 |
25 |
Correct |
1 ms |
348 KB |
ans=YES N=183 |
26 |
Correct |
1 ms |
348 KB |
ans=YES N=188 |
27 |
Correct |
1 ms |
348 KB |
ans=YES N=183 |
28 |
Correct |
1 ms |
348 KB |
ans=YES N=189 |
29 |
Correct |
1 ms |
456 KB |
ans=YES N=200 |
30 |
Correct |
1 ms |
348 KB |
ans=YES N=190 |
31 |
Correct |
1 ms |
348 KB |
ans=YES N=187 |
32 |
Correct |
1 ms |
348 KB |
ans=YES N=187 |
33 |
Correct |
1 ms |
348 KB |
ans=YES N=182 |
34 |
Correct |
1 ms |
348 KB |
ans=YES N=184 |
35 |
Correct |
1 ms |
348 KB |
ans=YES N=188 |
36 |
Correct |
1 ms |
348 KB |
ans=YES N=181 |
37 |
Correct |
1 ms |
348 KB |
ans=YES N=188 |
38 |
Correct |
1 ms |
348 KB |
ans=YES N=191 |
39 |
Correct |
1 ms |
348 KB |
ans=YES N=196 |
40 |
Correct |
1 ms |
348 KB |
ans=YES N=196 |
41 |
Correct |
1 ms |
344 KB |
ans=YES N=196 |
42 |
Correct |
1 ms |
344 KB |
ans=YES N=196 |
43 |
Correct |
1 ms |
356 KB |
ans=YES N=195 |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
0 ms |
344 KB |
ans=YES N=1 |
2 |
Correct |
0 ms |
348 KB |
ans=YES N=4 |
3 |
Correct |
0 ms |
348 KB |
ans=NO N=4 |
4 |
Correct |
1 ms |
348 KB |
ans=YES N=5 |
5 |
Correct |
0 ms |
456 KB |
ans=YES N=9 |
6 |
Correct |
0 ms |
348 KB |
ans=YES N=5 |
7 |
Correct |
0 ms |
348 KB |
ans=NO N=9 |
8 |
Correct |
0 ms |
348 KB |
ans=NO N=10 |
9 |
Correct |
0 ms |
348 KB |
ans=YES N=10 |
10 |
Correct |
0 ms |
348 KB |
ans=YES N=10 |
11 |
Correct |
0 ms |
348 KB |
ans=YES N=10 |
12 |
Correct |
0 ms |
348 KB |
ans=YES N=9 |
13 |
Correct |
0 ms |
348 KB |
ans=YES N=9 |
14 |
Correct |
0 ms |
344 KB |
ans=YES N=8 |
15 |
Correct |
0 ms |
348 KB |
ans=YES N=8 |
16 |
Correct |
0 ms |
344 KB |
ans=NO N=2 |
17 |
Correct |
1 ms |
348 KB |
ans=YES N=17 |
18 |
Correct |
0 ms |
348 KB |
ans=YES N=25 |
19 |
Correct |
1 ms |
348 KB |
ans=YES N=100 |
20 |
Correct |
1 ms |
348 KB |
ans=YES N=185 |
21 |
Correct |
0 ms |
348 KB |
ans=NO N=174 |
22 |
Correct |
1 ms |
348 KB |
ans=YES N=90 |
23 |
Correct |
0 ms |
344 KB |
ans=YES N=63 |
24 |
Correct |
1 ms |
348 KB |
ans=YES N=87 |
25 |
Correct |
1 ms |
348 KB |
ans=YES N=183 |
26 |
Correct |
1 ms |
348 KB |
ans=YES N=188 |
27 |
Correct |
1 ms |
348 KB |
ans=YES N=183 |
28 |
Correct |
1 ms |
348 KB |
ans=YES N=189 |
29 |
Correct |
1 ms |
456 KB |
ans=YES N=200 |
30 |
Correct |
1 ms |
348 KB |
ans=YES N=190 |
31 |
Correct |
1 ms |
348 KB |
ans=YES N=187 |
32 |
Correct |
1 ms |
348 KB |
ans=YES N=187 |
33 |
Correct |
1 ms |
348 KB |
ans=YES N=182 |
34 |
Correct |
1 ms |
348 KB |
ans=YES N=184 |
35 |
Correct |
1 ms |
348 KB |
ans=YES N=188 |
36 |
Correct |
1 ms |
348 KB |
ans=YES N=181 |
37 |
Correct |
1 ms |
348 KB |
ans=YES N=188 |
38 |
Correct |
1 ms |
348 KB |
ans=YES N=191 |
39 |
Correct |
1 ms |
348 KB |
ans=YES N=196 |
40 |
Correct |
1 ms |
348 KB |
ans=YES N=196 |
41 |
Correct |
1 ms |
344 KB |
ans=YES N=196 |
42 |
Correct |
1 ms |
344 KB |
ans=YES N=196 |
43 |
Correct |
1 ms |
356 KB |
ans=YES N=195 |
44 |
Correct |
2 ms |
604 KB |
ans=NO N=1934 |
45 |
Correct |
2 ms |
604 KB |
ans=NO N=1965 |
46 |
Correct |
5 ms |
604 KB |
ans=YES N=1824 |
47 |
Correct |
5 ms |
604 KB |
ans=YES N=1981 |
48 |
Correct |
5 ms |
600 KB |
ans=YES N=1814 |
49 |
Correct |
4 ms |
604 KB |
ans=YES N=1854 |
50 |
Correct |
5 ms |
604 KB |
ans=YES N=1831 |
51 |
Correct |
5 ms |
604 KB |
ans=YES N=2000 |
52 |
Correct |
5 ms |
604 KB |
ans=YES N=1847 |
53 |
Correct |
4 ms |
604 KB |
ans=YES N=1819 |
54 |
Correct |
5 ms |
604 KB |
ans=YES N=1986 |
55 |
Correct |
4 ms |
604 KB |
ans=YES N=2000 |
56 |
Correct |
3 ms |
604 KB |
ans=YES N=1834 |
57 |
Correct |
4 ms |
604 KB |
ans=YES N=1860 |
58 |
Correct |
4 ms |
568 KB |
ans=YES N=1898 |
59 |
Correct |
5 ms |
600 KB |
ans=YES N=1832 |
60 |
Correct |
3 ms |
604 KB |
ans=YES N=1929 |
61 |
Correct |
4 ms |
600 KB |
ans=YES N=1919 |
62 |
Correct |
4 ms |
604 KB |
ans=YES N=1882 |
63 |
Correct |
3 ms |
856 KB |
ans=YES N=1922 |
64 |
Correct |
4 ms |
600 KB |
ans=YES N=1989 |
65 |
Correct |
3 ms |
604 KB |
ans=YES N=1978 |
66 |
Correct |
3 ms |
604 KB |
ans=YES N=1867 |
67 |
Correct |
4 ms |
604 KB |
ans=YES N=1942 |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
2 ms |
604 KB |
ans=NO N=1934 |
2 |
Correct |
2 ms |
424 KB |
ans=NO N=1965 |
3 |
Incorrect |
5 ms |
604 KB |
Contestant's solution is not lexicographically largest at index 1824 (1813 vs 1808) |
4 |
Halted |
0 ms |
0 KB |
- |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
0 ms |
344 KB |
ans=YES N=1 |
2 |
Correct |
0 ms |
348 KB |
ans=YES N=4 |
3 |
Correct |
0 ms |
348 KB |
ans=NO N=4 |
4 |
Correct |
1 ms |
348 KB |
ans=YES N=5 |
5 |
Correct |
0 ms |
456 KB |
ans=YES N=9 |
6 |
Correct |
0 ms |
348 KB |
ans=YES N=5 |
7 |
Correct |
0 ms |
348 KB |
ans=NO N=9 |
8 |
Correct |
0 ms |
348 KB |
ans=NO N=10 |
9 |
Correct |
0 ms |
348 KB |
ans=YES N=10 |
10 |
Correct |
0 ms |
348 KB |
ans=YES N=10 |
11 |
Correct |
0 ms |
348 KB |
ans=YES N=10 |
12 |
Correct |
0 ms |
348 KB |
ans=YES N=9 |
13 |
Correct |
0 ms |
348 KB |
ans=YES N=9 |
14 |
Correct |
0 ms |
344 KB |
ans=YES N=8 |
15 |
Correct |
0 ms |
348 KB |
ans=YES N=8 |
16 |
Correct |
0 ms |
344 KB |
ans=NO N=2 |
17 |
Correct |
1 ms |
348 KB |
ans=YES N=17 |
18 |
Correct |
0 ms |
348 KB |
ans=YES N=25 |
19 |
Correct |
1 ms |
348 KB |
ans=YES N=100 |
20 |
Correct |
1 ms |
348 KB |
ans=YES N=185 |
21 |
Correct |
0 ms |
348 KB |
ans=NO N=174 |
22 |
Correct |
1 ms |
348 KB |
ans=YES N=90 |
23 |
Correct |
0 ms |
344 KB |
ans=YES N=63 |
24 |
Correct |
1 ms |
348 KB |
ans=YES N=87 |
25 |
Correct |
1 ms |
348 KB |
ans=YES N=183 |
26 |
Correct |
1 ms |
348 KB |
ans=YES N=188 |
27 |
Correct |
1 ms |
348 KB |
ans=YES N=183 |
28 |
Correct |
1 ms |
348 KB |
ans=YES N=189 |
29 |
Correct |
1 ms |
456 KB |
ans=YES N=200 |
30 |
Correct |
1 ms |
348 KB |
ans=YES N=190 |
31 |
Correct |
1 ms |
348 KB |
ans=YES N=187 |
32 |
Correct |
1 ms |
348 KB |
ans=YES N=187 |
33 |
Correct |
1 ms |
348 KB |
ans=YES N=182 |
34 |
Correct |
1 ms |
348 KB |
ans=YES N=184 |
35 |
Correct |
1 ms |
348 KB |
ans=YES N=188 |
36 |
Correct |
1 ms |
348 KB |
ans=YES N=181 |
37 |
Correct |
1 ms |
348 KB |
ans=YES N=188 |
38 |
Correct |
1 ms |
348 KB |
ans=YES N=191 |
39 |
Correct |
1 ms |
348 KB |
ans=YES N=196 |
40 |
Correct |
1 ms |
348 KB |
ans=YES N=196 |
41 |
Correct |
1 ms |
344 KB |
ans=YES N=196 |
42 |
Correct |
1 ms |
344 KB |
ans=YES N=196 |
43 |
Correct |
1 ms |
356 KB |
ans=YES N=195 |
44 |
Correct |
2 ms |
604 KB |
ans=NO N=1934 |
45 |
Correct |
2 ms |
604 KB |
ans=NO N=1965 |
46 |
Correct |
5 ms |
604 KB |
ans=YES N=1824 |
47 |
Correct |
5 ms |
604 KB |
ans=YES N=1981 |
48 |
Correct |
5 ms |
600 KB |
ans=YES N=1814 |
49 |
Correct |
4 ms |
604 KB |
ans=YES N=1854 |
50 |
Correct |
5 ms |
604 KB |
ans=YES N=1831 |
51 |
Correct |
5 ms |
604 KB |
ans=YES N=2000 |
52 |
Correct |
5 ms |
604 KB |
ans=YES N=1847 |
53 |
Correct |
4 ms |
604 KB |
ans=YES N=1819 |
54 |
Correct |
5 ms |
604 KB |
ans=YES N=1986 |
55 |
Correct |
4 ms |
604 KB |
ans=YES N=2000 |
56 |
Correct |
3 ms |
604 KB |
ans=YES N=1834 |
57 |
Correct |
4 ms |
604 KB |
ans=YES N=1860 |
58 |
Correct |
4 ms |
568 KB |
ans=YES N=1898 |
59 |
Correct |
5 ms |
600 KB |
ans=YES N=1832 |
60 |
Correct |
3 ms |
604 KB |
ans=YES N=1929 |
61 |
Correct |
4 ms |
600 KB |
ans=YES N=1919 |
62 |
Correct |
4 ms |
604 KB |
ans=YES N=1882 |
63 |
Correct |
3 ms |
856 KB |
ans=YES N=1922 |
64 |
Correct |
4 ms |
600 KB |
ans=YES N=1989 |
65 |
Correct |
3 ms |
604 KB |
ans=YES N=1978 |
66 |
Correct |
3 ms |
604 KB |
ans=YES N=1867 |
67 |
Correct |
4 ms |
604 KB |
ans=YES N=1942 |
68 |
Correct |
83 ms |
5716 KB |
ans=NO N=66151 |
69 |
Correct |
54 ms |
5780 KB |
ans=NO N=64333 |
70 |
Correct |
234 ms |
6812 KB |
ans=YES N=69316 |
71 |
Correct |
212 ms |
6580 KB |
ans=YES N=66695 |
72 |
Correct |
240 ms |
6856 KB |
ans=YES N=68436 |
73 |
Correct |
227 ms |
6884 KB |
ans=YES N=70000 |
74 |
Correct |
213 ms |
6840 KB |
ans=YES N=68501 |
75 |
Correct |
218 ms |
6896 KB |
ans=YES N=70000 |
76 |
Correct |
195 ms |
6504 KB |
ans=YES N=65009 |
77 |
Correct |
166 ms |
6624 KB |
ans=YES N=67007 |
78 |
Correct |
155 ms |
6700 KB |
ans=YES N=66357 |
79 |
Correct |
147 ms |
6616 KB |
ans=YES N=65430 |
80 |
Correct |
146 ms |
6528 KB |
ans=YES N=65790 |
81 |
Correct |
153 ms |
6600 KB |
ans=YES N=66020 |
82 |
Correct |
170 ms |
6548 KB |
ans=YES N=65809 |
83 |
Correct |
192 ms |
6640 KB |
ans=YES N=65651 |
84 |
Correct |
147 ms |
6860 KB |
ans=YES N=68040 |
85 |
Correct |
145 ms |
6608 KB |
ans=YES N=66570 |
86 |
Correct |
204 ms |
6636 KB |
ans=YES N=65421 |
87 |
Correct |
188 ms |
6784 KB |
ans=YES N=68351 |
88 |
Correct |
218 ms |
6632 KB |
ans=YES N=67027 |
89 |
Correct |
87 ms |
7160 KB |
ans=YES N=68879 |
90 |
Correct |
185 ms |
6812 KB |
ans=YES N=67256 |
91 |
Correct |
520 ms |
14332 KB |
ans=YES N=148315 |
92 |
Correct |
126 ms |
12112 KB |
ans=NO N=142745 |
93 |
Correct |
158 ms |
14504 KB |
ans=NO N=148443 |
94 |
Correct |
533 ms |
15832 KB |
ans=YES N=148328 |
95 |
Correct |
539 ms |
16164 KB |
ans=YES N=147855 |
96 |
Correct |
559 ms |
16524 KB |
ans=YES N=150000 |
97 |
Correct |
558 ms |
15788 KB |
ans=YES N=144725 |
98 |
Correct |
558 ms |
16108 KB |
ans=YES N=149445 |
99 |
Correct |
555 ms |
15932 KB |
ans=YES N=144455 |
100 |
Correct |
502 ms |
15496 KB |
ans=YES N=143487 |
101 |
Correct |
576 ms |
16088 KB |
ans=YES N=149688 |
102 |
Correct |
405 ms |
15608 KB |
ans=YES N=141481 |
103 |
Correct |
337 ms |
16104 KB |
ans=YES N=147430 |
104 |
Correct |
435 ms |
15900 KB |
ans=YES N=142247 |
105 |
Correct |
474 ms |
16668 KB |
ans=YES N=149941 |
106 |
Correct |
296 ms |
15852 KB |
ans=YES N=141635 |
107 |
Correct |
368 ms |
15280 KB |
ans=YES N=142896 |
108 |
Correct |
410 ms |
15048 KB |
ans=YES N=142069 |
109 |
Correct |
503 ms |
14704 KB |
ans=YES N=142378 |
110 |
Correct |
380 ms |
16208 KB |
ans=YES N=150000 |
111 |
Correct |
331 ms |
15252 KB |
ans=YES N=141452 |
112 |
Correct |
277 ms |
14520 KB |
ans=YES N=134453 |
113 |
Correct |
248 ms |
16312 KB |
ans=YES N=144172 |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
96 ms |
5872 KB |
ans=NO N=66151 |
2 |
Correct |
53 ms |
5524 KB |
ans=NO N=64333 |
3 |
Incorrect |
239 ms |
6956 KB |
Contestant's solution is not lexicographically largest at index 69316 (69235 vs 53400) |
4 |
Halted |
0 ms |
0 KB |
- |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
2 ms |
604 KB |
ans=NO N=1934 |
2 |
Correct |
2 ms |
424 KB |
ans=NO N=1965 |
3 |
Incorrect |
5 ms |
604 KB |
Contestant's solution is not lexicographically largest at index 1824 (1813 vs 1808) |
4 |
Halted |
0 ms |
0 KB |
- |