#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.
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);
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);
}
}
cout << queries.size() << '\n';
for(auto c : queries){
for(int i = 0; i < N; i++){
cout << c[i] << " \n"[i == N-1];
}
}
}
| # |
결과 |
실행 시간 |
메모리 |
Grader output |
| 1 |
Correct |
0 ms |
344 KB |
Output is correct |
| 2 |
Correct |
0 ms |
348 KB |
Output is correct |
| 3 |
Correct |
0 ms |
348 KB |
Output is correct |
| 4 |
Correct |
1 ms |
604 KB |
Output is correct |
| 5 |
Correct |
1 ms |
604 KB |
Output is correct |
| # |
결과 |
실행 시간 |
메모리 |
Grader output |
| 1 |
Correct |
0 ms |
348 KB |
Output is correct |
| 2 |
Incorrect |
0 ms |
348 KB |
If people start at 0 and 1, then they can avoid each other |
| 3 |
Halted |
0 ms |
0 KB |
- |
| # |
결과 |
실행 시간 |
메모리 |
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 |
2 ms |
600 KB |
Output is correct |
| 6 |
Correct |
1 ms |
604 KB |
Output is correct |
| 7 |
Correct |
0 ms |
348 KB |
Output is correct |
| # |
결과 |
실행 시간 |
메모리 |
Grader output |
| 1 |
Correct |
0 ms |
344 KB |
Output is correct |
| 2 |
Correct |
0 ms |
348 KB |
Output is correct |
| 3 |
Correct |
0 ms |
348 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 |
2 ms |
600 KB |
Output is correct |
| 11 |
Correct |
1 ms |
604 KB |
Output is correct |
| 12 |
Correct |
0 ms |
348 KB |
Output is correct |
| 13 |
Correct |
0 ms |
348 KB |
Output is correct |
| 14 |
Correct |
0 ms |
344 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 |
348 KB |
Output is correct |
| 21 |
Correct |
1 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 |
Incorrect |
0 ms |
348 KB |
If people start at 0 and 1, then they can avoid each other |
| 25 |
Halted |
0 ms |
0 KB |
- |
| # |
결과 |
실행 시간 |
메모리 |
Grader output |
| 1 |
Correct |
0 ms |
344 KB |
Output is correct |
| 2 |
Correct |
0 ms |
348 KB |
Output is correct |
| 3 |
Correct |
0 ms |
348 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 |
Incorrect |
0 ms |
348 KB |
If people start at 0 and 1, then they can avoid each other |
| 8 |
Halted |
0 ms |
0 KB |
- |
