#include <bits/stdc++.h>
using namespace std;
// D. Make Them Meet
// Problem Name makethemmeet
// Time Limit 9 seconds
// Memory Limit 1 gigabyte
// Mila and Laura have been friends online for a long time; they have never met in real life. Currently,
// they are both attending the same onsite event, which means that they will surely meet. However,
// the hotel where they both are staying is very big and confusing. Therefore, after several days, they
// still have not run into each other.
// The hotel consists of N rooms, numbered 0 to N − 1. Each room has a lamp that can be changed
// into different colours. You have found the electrical service room of the hotel, allowing you to alter
// the colours of the lamps. Your goal is to guide Mila and Laura using the lamps to finally make them
// meet.
// The hotel can be represented as a graph with N vertices (the rooms) and M edges (the corridors
// connecting the rooms). Mila and Laura initially start in two different rooms but you do not know
// which ones. You can make a number of moves. Each move consists of printing a list of N integers,
// c , c ,..., c , meaning that the colour of the lamp in room i becomes c for every
// i = 0, 1,..., N − 1. Mila and Laura will then look at the colour of the lamp in the room they are
// currently in and walk to a neighbouring room whose lamp has the same colour. If there is no such
// neighbouring room, they will stay where they are. If there are several such neighbouring rooms,
// they will choose one arbitrarily.
// If Mila and Laura are in the same room or use the same corridor simultaneously at any point
// during your moves, you have succeeded in making them meet. You can make at most 20 000
// moves, but you will get a higher score if you use fewer moves.
// Note that you do not know which rooms Mila and Laura start in or how they walk if they have
// multiple rooms with the same colour to choose from. Your solution must be correct regardless
// of their starting rooms or how they walk.
// Input
// 0 1 N−1 i
// makethemmeet (1 of 4)
// The first line contains two integers, N and M, the number of rooms and the number of corridors
// in the hotel respectively.
// The following M lines each contain two integers, u and v , meaning that rooms u and v are
// connected by a corridor.
// Output
// Print one line with an integer K, the number of moves.
// On each of the following K lines, print N integers, c , c ,..., c , such that 0 ≤ c ≤ N for all i.
// These K lines represent your moves in the chronological order.
// Constraints and Scoring
// 2 ≤ N ≤ 100.
// N − 1 ≤ M ≤ .
// 0 ≤ u , v ≤ N − 1, and u ≠ v .
// You can reach every room from every other room. Furthermore, there are no corridors going
// from a room to itself, and there are not multiple corridors between any pair of rooms.
// You may use at most 20 000 moves (that is, K ≤ 20 000).
// Your solution will be tested on a set of test groups, each worth a number of points. Each test group
// contains a set of test cases. To get the points for a test group, you need to solve all test cases in the
// test group.
namespace std {
template<class Fun>
class y_combinator_result {
Fun fun_;
public:
template<class T>
explicit y_combinator_result(T &&fun): fun_(std::forward<T>(fun)) {}
template<class ...Args>
decltype(auto) operator()(Args &&...args) {
return fun_(std::ref(*this), std::forward<Args>(args)...);
}
};
template<class Fun>
decltype(auto) y_combinator(Fun &&fun) {
return y_combinator_result<std::decay_t<Fun>>(std::forward<Fun>(fun));
}
} // namespace std
int main(){
ios_base::sync_with_stdio(false), cin.tie(nullptr);
int N, M;
cin >> N >> M;
vector<vector<int> > adj(N);
vector<pair<int, int> > edges;
bool is_path = true;
bool is_star = true;
bool is_complete = (M == N*(N-1)/2);
bool is_tree = (M == N-1);
for(int i = 0; i < M; i++){
int u, v;
cin >> u >> v;
if(abs(u-v) != 1) is_path = false;
if(u != 0 && v != 0) is_star = false;
edges.push_back({u, v});
adj[u].push_back(v);
adj[v].push_back(u);
}
mt19937 rng(chrono::steady_clock::now().time_since_epoch().count());
vector<vector<int> > state(N, vector<int>(N, 1));
for(int i = 0; i < N; i++){ state[i][i] = 0; }
vector<vector<int> > queries;
if(is_path){
for(int i = 0; i < 2*N; i++){
vector<int> c(N, 0);
for(int j = 0; j < N; j++){
c[j] = ((i + j) % 4) / 2;
}
queries.push_back(c);
}
} else if (is_star){
queries.push_back(vector<int>(N, 1));
for(int i = 0; i < N; i++){
vector<int> c(N, 0);
c[i] = c[0] = 1;
queries.push_back(c);
queries.push_back(c);
}
} else if(is_complete){
for(int s = 0; s < N; s++){
vector<int> c(N, 0);
for(int i = 0; i < N; i++){
int j = (s - i + N) % N;
c[i] = c[j] = i;
}
queries.push_back(c);
queries.push_back(c);
}
} else {
// find spanning tree
vector<int> dfs_order;
vector<int> par(N, -1);
{
vector<int> vis(N, 0);
y_combinator([&](auto dfs, int u) -> void {
dfs_order.push_back(u);
vis[u] = 1;
for(int v : adj[u]){
if(vis[v]) continue;
par[v] = u;
dfs(v);
}
})(0);
}
vector<int> rev = dfs_order;
reverse(rev.begin(), rev.end());
vector<int> active(N, 1);
for(int x : rev){
vector<int> x_dfs_order;
vector<int> vis(N, 0);
vector<int> x_par(N, -1);
y_combinator([&](auto dfs, int u) -> void {
x_dfs_order.push_back(u);
vis[u] = 1;
for(int v : adj[u]){
if(vis[v] || !active[v]) continue;
vector<int> color(N, 0);
for(int i = 0; i < N; i++) color[i] = i;
color[u] = color[v] = N;
queries.push_back(color);
dfs(v);
queries.push_back(color);
}
})(x);
active[x] = 0;
}
}
cout << queries.size() << '\n';
for(auto c : queries){
for(int i = 0; i < N; i++){
cout << c[i] << " \n"[i == N-1];
}
}
}
Compilation message
Main.cpp: In function 'int main()':
Main.cpp:83:7: warning: unused variable 'is_tree' [-Wunused-variable]
83 | bool is_tree = (M == N-1);
| ^~~~~~~
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
0 ms |
348 KB |
Output is correct |
2 |
Correct |
1 ms |
344 KB |
Output is correct |
3 |
Correct |
0 ms |
412 KB |
Output is correct |
4 |
Correct |
1 ms |
604 KB |
Output is correct |
5 |
Correct |
1 ms |
604 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
0 ms |
348 KB |
Output is correct |
2 |
Correct |
0 ms |
348 KB |
Output is correct |
3 |
Correct |
0 ms |
348 KB |
Output is correct |
4 |
Correct |
0 ms |
348 KB |
Output is correct |
5 |
Correct |
0 ms |
348 KB |
Output is correct |
6 |
Correct |
1 ms |
348 KB |
Output is correct |
7 |
Correct |
0 ms |
348 KB |
Output is correct |
8 |
Correct |
1 ms |
348 KB |
Output is correct |
9 |
Correct |
2 ms |
604 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
348 KB |
Output is correct |
2 |
Correct |
0 ms |
348 KB |
Output is correct |
3 |
Correct |
0 ms |
348 KB |
Output is correct |
4 |
Correct |
0 ms |
348 KB |
Output is correct |
5 |
Correct |
1 ms |
604 KB |
Output is correct |
6 |
Correct |
1 ms |
604 KB |
Output is correct |
7 |
Correct |
1 ms |
348 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
0 ms |
348 KB |
Output is correct |
2 |
Correct |
1 ms |
344 KB |
Output is correct |
3 |
Correct |
0 ms |
412 KB |
Output is correct |
4 |
Correct |
1 ms |
604 KB |
Output is correct |
5 |
Correct |
1 ms |
604 KB |
Output is correct |
6 |
Correct |
1 ms |
348 KB |
Output is correct |
7 |
Correct |
0 ms |
348 KB |
Output is correct |
8 |
Correct |
0 ms |
348 KB |
Output is correct |
9 |
Correct |
0 ms |
348 KB |
Output is correct |
10 |
Correct |
1 ms |
604 KB |
Output is correct |
11 |
Correct |
1 ms |
604 KB |
Output is correct |
12 |
Correct |
1 ms |
348 KB |
Output is correct |
13 |
Correct |
0 ms |
348 KB |
Output is correct |
14 |
Correct |
0 ms |
348 KB |
Output is correct |
15 |
Correct |
0 ms |
348 KB |
Output is correct |
16 |
Correct |
1 ms |
604 KB |
Output is correct |
17 |
Correct |
1 ms |
604 KB |
Output is correct |
18 |
Correct |
0 ms |
348 KB |
Output is correct |
19 |
Correct |
0 ms |
348 KB |
Output is correct |
20 |
Correct |
0 ms |
352 KB |
Output is correct |
21 |
Correct |
2 ms |
604 KB |
Output is correct |
22 |
Correct |
1 ms |
604 KB |
Output is correct |
23 |
Correct |
1 ms |
348 KB |
Output is correct |
24 |
Correct |
0 ms |
348 KB |
Output is correct |
25 |
Correct |
0 ms |
348 KB |
Output is correct |
26 |
Correct |
0 ms |
348 KB |
Output is correct |
27 |
Partially correct |
43 ms |
7564 KB |
Partially correct |
28 |
Partially correct |
43 ms |
7484 KB |
Partially correct |
29 |
Partially correct |
43 ms |
7568 KB |
Partially correct |
30 |
Partially correct |
57 ms |
7524 KB |
Partially correct |
31 |
Partially correct |
43 ms |
7648 KB |
Partially correct |
32 |
Partially correct |
44 ms |
7504 KB |
Partially correct |
33 |
Partially correct |
39 ms |
7564 KB |
Partially correct |
34 |
Partially correct |
42 ms |
7576 KB |
Partially correct |
35 |
Partially correct |
38 ms |
7568 KB |
Partially correct |
36 |
Partially correct |
38 ms |
7440 KB |
Partially correct |
37 |
Partially correct |
38 ms |
7564 KB |
Partially correct |
38 |
Partially correct |
75 ms |
7564 KB |
Partially correct |
39 |
Partially correct |
49 ms |
7672 KB |
Partially correct |
40 |
Partially correct |
39 ms |
7564 KB |
Partially correct |
41 |
Partially correct |
39 ms |
7508 KB |
Partially correct |
42 |
Partially correct |
40 ms |
7632 KB |
Partially correct |
43 |
Partially correct |
43 ms |
7532 KB |
Partially correct |
44 |
Partially correct |
39 ms |
7564 KB |
Partially correct |
45 |
Partially correct |
45 ms |
7420 KB |
Partially correct |
46 |
Correct |
0 ms |
348 KB |
Output is correct |
47 |
Correct |
0 ms |
348 KB |
Output is correct |
48 |
Correct |
0 ms |
348 KB |
Output is correct |
49 |
Correct |
0 ms |
348 KB |
Output is correct |
50 |
Correct |
0 ms |
348 KB |
Output is correct |
51 |
Correct |
0 ms |
348 KB |
Output is correct |
52 |
Correct |
0 ms |
348 KB |
Output is correct |
53 |
Correct |
0 ms |
348 KB |
Output is correct |
54 |
Correct |
0 ms |
348 KB |
Output is correct |
55 |
Correct |
0 ms |
344 KB |
Output is correct |
56 |
Correct |
0 ms |
348 KB |
Output is correct |
57 |
Correct |
0 ms |
348 KB |
Output is correct |
58 |
Correct |
0 ms |
456 KB |
Output is correct |
59 |
Correct |
1 ms |
344 KB |
Output is correct |
60 |
Correct |
0 ms |
348 KB |
Output is correct |
61 |
Correct |
0 ms |
348 KB |
Output is correct |
62 |
Correct |
0 ms |
348 KB |
Output is correct |
63 |
Correct |
1 ms |
348 KB |
Output is correct |
64 |
Correct |
1 ms |
512 KB |
Output is correct |
65 |
Correct |
0 ms |
348 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
0 ms |
348 KB |
Output is correct |
2 |
Correct |
1 ms |
344 KB |
Output is correct |
3 |
Correct |
0 ms |
412 KB |
Output is correct |
4 |
Correct |
1 ms |
604 KB |
Output is correct |
5 |
Correct |
1 ms |
604 KB |
Output is correct |
6 |
Correct |
0 ms |
348 KB |
Output is correct |
7 |
Correct |
0 ms |
348 KB |
Output is correct |
8 |
Correct |
0 ms |
348 KB |
Output is correct |
9 |
Correct |
0 ms |
348 KB |
Output is correct |
10 |
Correct |
0 ms |
348 KB |
Output is correct |
11 |
Correct |
1 ms |
348 KB |
Output is correct |
12 |
Correct |
0 ms |
348 KB |
Output is correct |
13 |
Correct |
1 ms |
348 KB |
Output is correct |
14 |
Correct |
2 ms |
604 KB |
Output is correct |
15 |
Correct |
1 ms |
348 KB |
Output is correct |
16 |
Correct |
0 ms |
348 KB |
Output is correct |
17 |
Correct |
0 ms |
348 KB |
Output is correct |
18 |
Correct |
0 ms |
348 KB |
Output is correct |
19 |
Correct |
1 ms |
604 KB |
Output is correct |
20 |
Correct |
1 ms |
604 KB |
Output is correct |
21 |
Correct |
1 ms |
348 KB |
Output is correct |
22 |
Correct |
0 ms |
348 KB |
Output is correct |
23 |
Correct |
0 ms |
348 KB |
Output is correct |
24 |
Correct |
0 ms |
348 KB |
Output is correct |
25 |
Correct |
1 ms |
604 KB |
Output is correct |
26 |
Correct |
1 ms |
604 KB |
Output is correct |
27 |
Correct |
0 ms |
348 KB |
Output is correct |
28 |
Correct |
0 ms |
348 KB |
Output is correct |
29 |
Correct |
0 ms |
352 KB |
Output is correct |
30 |
Correct |
2 ms |
604 KB |
Output is correct |
31 |
Correct |
1 ms |
604 KB |
Output is correct |
32 |
Correct |
1 ms |
348 KB |
Output is correct |
33 |
Correct |
0 ms |
348 KB |
Output is correct |
34 |
Correct |
0 ms |
348 KB |
Output is correct |
35 |
Correct |
0 ms |
348 KB |
Output is correct |
36 |
Partially correct |
43 ms |
7564 KB |
Partially correct |
37 |
Partially correct |
43 ms |
7484 KB |
Partially correct |
38 |
Partially correct |
43 ms |
7568 KB |
Partially correct |
39 |
Partially correct |
57 ms |
7524 KB |
Partially correct |
40 |
Partially correct |
43 ms |
7648 KB |
Partially correct |
41 |
Partially correct |
44 ms |
7504 KB |
Partially correct |
42 |
Partially correct |
39 ms |
7564 KB |
Partially correct |
43 |
Partially correct |
42 ms |
7576 KB |
Partially correct |
44 |
Partially correct |
38 ms |
7568 KB |
Partially correct |
45 |
Partially correct |
38 ms |
7440 KB |
Partially correct |
46 |
Partially correct |
38 ms |
7564 KB |
Partially correct |
47 |
Partially correct |
75 ms |
7564 KB |
Partially correct |
48 |
Partially correct |
49 ms |
7672 KB |
Partially correct |
49 |
Partially correct |
39 ms |
7564 KB |
Partially correct |
50 |
Partially correct |
39 ms |
7508 KB |
Partially correct |
51 |
Partially correct |
40 ms |
7632 KB |
Partially correct |
52 |
Partially correct |
43 ms |
7532 KB |
Partially correct |
53 |
Partially correct |
39 ms |
7564 KB |
Partially correct |
54 |
Partially correct |
45 ms |
7420 KB |
Partially correct |
55 |
Correct |
0 ms |
348 KB |
Output is correct |
56 |
Correct |
0 ms |
348 KB |
Output is correct |
57 |
Correct |
0 ms |
348 KB |
Output is correct |
58 |
Correct |
0 ms |
348 KB |
Output is correct |
59 |
Correct |
0 ms |
348 KB |
Output is correct |
60 |
Correct |
0 ms |
348 KB |
Output is correct |
61 |
Correct |
0 ms |
348 KB |
Output is correct |
62 |
Correct |
0 ms |
348 KB |
Output is correct |
63 |
Correct |
0 ms |
348 KB |
Output is correct |
64 |
Correct |
0 ms |
344 KB |
Output is correct |
65 |
Correct |
0 ms |
348 KB |
Output is correct |
66 |
Correct |
0 ms |
348 KB |
Output is correct |
67 |
Correct |
0 ms |
456 KB |
Output is correct |
68 |
Correct |
1 ms |
344 KB |
Output is correct |
69 |
Correct |
0 ms |
348 KB |
Output is correct |
70 |
Correct |
0 ms |
348 KB |
Output is correct |
71 |
Correct |
0 ms |
348 KB |
Output is correct |
72 |
Correct |
1 ms |
348 KB |
Output is correct |
73 |
Correct |
1 ms |
512 KB |
Output is correct |
74 |
Correct |
0 ms |
348 KB |
Output is correct |
75 |
Correct |
0 ms |
348 KB |
Output is correct |
76 |
Correct |
0 ms |
348 KB |
Output is correct |
77 |
Correct |
1 ms |
348 KB |
Output is correct |
78 |
Correct |
1 ms |
604 KB |
Output is correct |
79 |
Correct |
1 ms |
604 KB |
Output is correct |
80 |
Correct |
0 ms |
344 KB |
Output is correct |
81 |
Correct |
0 ms |
348 KB |
Output is correct |
82 |
Correct |
0 ms |
348 KB |
Output is correct |
83 |
Correct |
0 ms |
348 KB |
Output is correct |
84 |
Correct |
0 ms |
344 KB |
Output is correct |
85 |
Correct |
0 ms |
348 KB |
Output is correct |
86 |
Correct |
1 ms |
348 KB |
Output is correct |
87 |
Correct |
3 ms |
604 KB |
Output is correct |
88 |
Correct |
0 ms |
348 KB |
Output is correct |
89 |
Correct |
0 ms |
348 KB |
Output is correct |
90 |
Correct |
1 ms |
344 KB |
Output is correct |
91 |
Correct |
2 ms |
604 KB |
Output is correct |
92 |
Correct |
1 ms |
604 KB |
Output is correct |
93 |
Correct |
1 ms |
348 KB |
Output is correct |
94 |
Correct |
0 ms |
348 KB |
Output is correct |
95 |
Correct |
0 ms |
348 KB |
Output is correct |
96 |
Correct |
0 ms |
348 KB |
Output is correct |
97 |
Partially correct |
40 ms |
7568 KB |
Partially correct |
98 |
Partially correct |
41 ms |
7672 KB |
Partially correct |
99 |
Partially correct |
44 ms |
7564 KB |
Partially correct |
100 |
Partially correct |
39 ms |
7664 KB |
Partially correct |
101 |
Partially correct |
43 ms |
7456 KB |
Partially correct |
102 |
Partially correct |
40 ms |
7820 KB |
Partially correct |
103 |
Partially correct |
40 ms |
7536 KB |
Partially correct |
104 |
Partially correct |
38 ms |
7564 KB |
Partially correct |
105 |
Partially correct |
39 ms |
7568 KB |
Partially correct |
106 |
Partially correct |
38 ms |
7568 KB |
Partially correct |
107 |
Partially correct |
40 ms |
7680 KB |
Partially correct |
108 |
Partially correct |
38 ms |
7560 KB |
Partially correct |
109 |
Partially correct |
44 ms |
7564 KB |
Partially correct |
110 |
Partially correct |
38 ms |
7564 KB |
Partially correct |
111 |
Partially correct |
38 ms |
7576 KB |
Partially correct |
112 |
Partially correct |
40 ms |
7564 KB |
Partially correct |
113 |
Partially correct |
38 ms |
7560 KB |
Partially correct |
114 |
Partially correct |
38 ms |
7564 KB |
Partially correct |
115 |
Partially correct |
38 ms |
7564 KB |
Partially correct |
116 |
Correct |
0 ms |
348 KB |
Output is correct |
117 |
Correct |
0 ms |
348 KB |
Output is correct |
118 |
Correct |
0 ms |
348 KB |
Output is correct |
119 |
Correct |
0 ms |
348 KB |
Output is correct |
120 |
Correct |
0 ms |
348 KB |
Output is correct |
121 |
Correct |
0 ms |
348 KB |
Output is correct |
122 |
Correct |
0 ms |
348 KB |
Output is correct |
123 |
Correct |
0 ms |
348 KB |
Output is correct |
124 |
Correct |
0 ms |
348 KB |
Output is correct |
125 |
Correct |
0 ms |
348 KB |
Output is correct |
126 |
Correct |
0 ms |
348 KB |
Output is correct |
127 |
Correct |
0 ms |
348 KB |
Output is correct |
128 |
Correct |
0 ms |
348 KB |
Output is correct |
129 |
Correct |
0 ms |
348 KB |
Output is correct |
130 |
Correct |
0 ms |
348 KB |
Output is correct |
131 |
Correct |
0 ms |
348 KB |
Output is correct |
132 |
Correct |
0 ms |
600 KB |
Output is correct |
133 |
Correct |
0 ms |
348 KB |
Output is correct |
134 |
Correct |
0 ms |
348 KB |
Output is correct |
135 |
Correct |
0 ms |
348 KB |
Output is correct |
136 |
Correct |
0 ms |
348 KB |
Output is correct |
137 |
Correct |
0 ms |
348 KB |
Output is correct |
138 |
Correct |
0 ms |
348 KB |
Output is correct |
139 |
Correct |
0 ms |
348 KB |
Output is correct |
140 |
Partially correct |
40 ms |
7564 KB |
Partially correct |
141 |
Correct |
0 ms |
348 KB |
Output is correct |
142 |
Partially correct |
39 ms |
7608 KB |
Partially correct |
143 |
Partially correct |
40 ms |
7568 KB |
Partially correct |
144 |
Partially correct |
39 ms |
7576 KB |
Partially correct |
145 |
Partially correct |
40 ms |
7696 KB |
Partially correct |
146 |
Partially correct |
38 ms |
7568 KB |
Partially correct |
147 |
Partially correct |
40 ms |
7564 KB |
Partially correct |
148 |
Partially correct |
38 ms |
7560 KB |
Partially correct |
149 |
Partially correct |
40 ms |
7564 KB |
Partially correct |
150 |
Partially correct |
39 ms |
7568 KB |
Partially correct |
151 |
Partially correct |
38 ms |
7564 KB |
Partially correct |
152 |
Partially correct |
38 ms |
7564 KB |
Partially correct |
153 |
Partially correct |
38 ms |
7564 KB |
Partially correct |
154 |
Partially correct |
38 ms |
7564 KB |
Partially correct |
155 |
Partially correct |
38 ms |
7568 KB |
Partially correct |
156 |
Partially correct |
38 ms |
7568 KB |
Partially correct |
157 |
Partially correct |
38 ms |
7576 KB |
Partially correct |
158 |
Partially correct |
43 ms |
7564 KB |
Partially correct |
159 |
Partially correct |
39 ms |
7704 KB |
Partially correct |
160 |
Partially correct |
39 ms |
7456 KB |
Partially correct |
161 |
Partially correct |
40 ms |
7448 KB |
Partially correct |
162 |
Correct |
1 ms |
348 KB |
Output is correct |
163 |
Correct |
0 ms |
348 KB |
Output is correct |
164 |
Correct |
0 ms |
348 KB |
Output is correct |
165 |
Correct |
1 ms |
344 KB |
Output is correct |