#include <iostream>
#include <string>
#include <math.h>
#include <algorithm>
#include <vector>
#include <string.h>
#include <numeric>
#include <iostream>
#include <queue>
#include <assert.h>
#include <map>
#include <set>
#include <limits.h>
#include <random>
#include <chrono>
using namespace std;
#define ll long long
#define ld long double
const int MX = 300005;
const int BLOCK = 105;
const ll inf = 8000000000000000069ll;
const ll mod = 1e9 + 7;
const ll inv2 = (mod + 1) / 2;
const int dxh[] = {1, 1, -1, -1, 2, 2, -2, -2};
const int dyh[] = {2, -2, 2, -2, 1, -1, 1, -1}; // horse
const int dx[] = {1, -1, 0, 0, 0, 0};
const int dy[] = {0, 0, 1, -1, 0, 0}; // adj
const int dz[] = {0, 0, 0, 0, 1, -1};
const int dxd[] = {1, 1, 1, 0, -1, -1, -1, 0};
const int dyd[] = {1, 0, -1, -1, -1, 0, 1, 1}; // diag
mt19937 rng(time(NULL));
int n, m;
vector<pair<pair<int, int>, int> > v;
void imp(){
cout << "impossible\n";
exit(0);
}
int dist(int x, int y){
int get = y + n - x + 1;
if(get > n) get -= n;
return get;
}
void solve(){
set<pair<int, int> > s;
vector<int> ans(m + 1, 0);
int c1 = 0, c2 = 0;
for(int j = 0, i = 1; i <= n; i ++){
for(; j < m && v[j].first.first == i; j ++)
s.insert(make_pair(v[j].first.second, v[j].second));
for(; s.size() && s.begin() -> first < i;)
s.erase(s.begin());
if(c1 < i){
if(s.empty()) imp();
c1 = s.begin() -> first;
ans[s.begin() -> second] = 1;
s.erase(s.begin());
}
if(c2 < i){
if(s.empty()) imp();
c2 = s.begin() -> first;
ans[s.begin() -> second] = 0;
s.erase(s.begin());
}
}
for(int i = 0; i < m; i ++)
cout << ans[i];
exit(0);
}
vector<pair<int, int> > adj[MX];
int vis[MX][2];
int main(){
cin.tie(0) -> sync_with_stdio(0);
cin >> n >> m;
v.resize(m);
bool aa = 1;
for(int i = 0; i < m; i ++){
cin >> v[i].first.first >> v[i].first.second;
if(v[i].first.first > v[i].first.second) aa = 0;
v[i].second = i;
}
for(int i = 0; i < m; i ++)
adj[v[i].first.first].emplace_back(dist(v[i].first.first, v[i].first.second), i);
sort(v.begin(), v.end());
if(aa) solve();
int c1 = 0, c2 = 0;
vector<int> ans(m);
for(int i = 1; i <= n; i ++)
vis[i][0] = vis[i][1] = 0;
for(int i = 1; i <= n; i ++){
int gt = i;
if(gt > n) gt -= n;
for(int j = 0; j < adj[gt].size(); j ++){
int x = adj[gt][j].first;
for(int k = 0; k < n; k ++){
int nw = gt + k;
if(nw > n) nw -= n;
if(vis[nw][0] == 0){
ans[adj[gt][j].second] = 0;
break;
}
if(vis[nw][1] == 0){
ans[adj[gt][j].second] = 1;
break;
}
}
for(int l = 0; l < x; l ++){
int cr = gt + l;
if(cr > n) cr -= n;
vis[cr][ans[adj[gt][j].second]] = 1;
}
}
}
bool ok = 1;
for(int i = 1; i <= n; i ++)
if(vis[i][0] == 0 || vis[i][1] == 0)
ok = 0;
if(ok){
for(int i = 0; i < m; i ++)
cout << ans[i];
cout << endl;
exit(0);
}
imp();
return 0;
}
Compilation message
alternating.cpp: In function 'int main()':
alternating.cpp:110:20: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<std::pair<int, int> >::size_type' {aka 'long unsigned int'} [-Wsign-compare]
110 | for(int j = 0; j < adj[gt].size(); j ++){
| ~~^~~~~~~~~~~~~~~~
alternating.cpp:101:6: warning: unused variable 'c1' [-Wunused-variable]
101 | int c1 = 0, c2 = 0;
| ^~
alternating.cpp:101:14: warning: unused variable 'c2' [-Wunused-variable]
101 | int c1 = 0, c2 = 0;
| ^~
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
5 ms |
7404 KB |
Output is correct |
2 |
Correct |
5 ms |
7404 KB |
Output is correct |
3 |
Correct |
6 ms |
7404 KB |
Output is correct |
4 |
Correct |
5 ms |
7532 KB |
Output is correct |
5 |
Incorrect |
5 ms |
7404 KB |
'impossible' claimed, but there is a solution |
6 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
5 ms |
7404 KB |
Output is correct |
2 |
Correct |
5 ms |
7404 KB |
Output is correct |
3 |
Correct |
6 ms |
7404 KB |
Output is correct |
4 |
Correct |
5 ms |
7532 KB |
Output is correct |
5 |
Incorrect |
5 ms |
7404 KB |
'impossible' claimed, but there is a solution |
6 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
5 ms |
7404 KB |
Output is correct |
2 |
Correct |
5 ms |
7404 KB |
Output is correct |
3 |
Correct |
6 ms |
7404 KB |
Output is correct |
4 |
Correct |
5 ms |
7532 KB |
Output is correct |
5 |
Incorrect |
5 ms |
7404 KB |
'impossible' claimed, but there is a solution |
6 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
53 ms |
14568 KB |
Output is correct |
2 |
Correct |
6 ms |
7404 KB |
Output is correct |
3 |
Correct |
23 ms |
9708 KB |
Output is correct |
4 |
Correct |
33 ms |
12140 KB |
Output is correct |
5 |
Correct |
57 ms |
11244 KB |
Output is correct |
6 |
Correct |
49 ms |
11244 KB |
Output is correct |
7 |
Correct |
51 ms |
11372 KB |
Output is correct |
8 |
Correct |
7 ms |
7532 KB |
Output is correct |
9 |
Correct |
6 ms |
7404 KB |
Output is correct |
10 |
Correct |
56 ms |
11372 KB |
Output is correct |
11 |
Correct |
43 ms |
10604 KB |
Output is correct |
12 |
Correct |
52 ms |
11756 KB |
Output is correct |
13 |
Correct |
6 ms |
7404 KB |
Output is correct |
14 |
Correct |
6 ms |
7404 KB |
Output is correct |
15 |
Correct |
57 ms |
10988 KB |
Output is correct |
16 |
Correct |
32 ms |
12140 KB |
Output is correct |
17 |
Correct |
88 ms |
13420 KB |
Output is correct |
18 |
Correct |
80 ms |
12652 KB |
Output is correct |
19 |
Correct |
8 ms |
7660 KB |
Output is correct |
20 |
Correct |
48 ms |
10604 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
5 ms |
7404 KB |
Output is correct |
2 |
Correct |
5 ms |
7404 KB |
Output is correct |
3 |
Correct |
6 ms |
7404 KB |
Output is correct |
4 |
Correct |
5 ms |
7532 KB |
Output is correct |
5 |
Incorrect |
5 ms |
7404 KB |
'impossible' claimed, but there is a solution |
6 |
Halted |
0 ms |
0 KB |
- |