#include <bits/stdc++.h>
using namespace std;
typedef long long ll;
typedef pair<int, int> pii;
const int MX=100010, inf=2e9;
int n, m;
struct line{
int s, e, ans=-1, idx;
void scan(){
cin>>s>>e;
}
bool operator < (const line &l) const {
return s<l.s || (s==l.s && e>l.e);
}
} L[MX];
bool solve(){
bool done[MX][2]={};
priority_queue<pii> Q;
for(int i=1, frt=0; i<=n; i++){
while(frt<m && L[frt+1].s<=i) frt++, Q.push({L[frt].e, frt});
for(int j=0; j<=1; j++){
if(done[i][j]) continue;
while(!Q.empty() && Q.top().first<i) Q.pop();
if(Q.empty()) return false;
int e,idx; tie(e,idx)=Q.top(); Q.pop();
for(int x=i; x<=e; x++) done[x][j]=true;
L[idx].ans=j;
}
}
return true;
}
void solve3(){
vector<int> A[MX];
for(int i=1; i<=m; i++) A[L[i].s].push_back(i);
deque<int> used;
priority_queue<pii> Q;
for(int i=1, r=0; i<=n; i++){
for(int idx:A[i]) Q.push({L[idx].e + (i<=L[idx].e ? 0 : n), idx});
if(i<=r) continue;
pii now=Q.top(); Q.pop();
r=now.first; used.push_back(now.second);
}
int cnt[MX]={};
for(int x:used) for(int ii=L[x].s; ii<=L[x].e + (L[x].s<=L[x].e ? 0 : n); ii++)
cnt[(ii-1)%n+1]++;
bool out=false;
for(int i=1; i<=n; i++) if(cnt[i]>=3) out=true;
if(out) used.pop_front();
for(int x:used) L[x].ans=1;
}
void show(){
sort(L+1, L+m+1, [](line &a, line &b){ return a.idx<b.idx; });
for(int i=1; i<=m; i++) cout<<max(0,L[i].ans);
cout<<'\n';
}
bool is3(){
int cnt[MX]={};
for(int i=1; i<=m; i++){
int s=L[i].s, e=L[i].e;
if(s<=e){
cnt[s]++, cnt[e+1]--;
}
else{
cnt[1]++, cnt[s+1]--;
cnt[e]++, cnt[n+1]--;
}
}
for(int i=1, now=0; i<=n; i++){
now+=cnt[i];
if(now<3) return false;
}
return true;
}
int main(){
ios::sync_with_stdio(0); cin.tie(0);
cin>>n>>m;
for(int i=1; i<=m; i++) L[i].scan(), L[i].idx=i;
sort(L+1, L+m+1);
if(is3()){ solve3(), show(); return 0; }
if(!solve()){ cout<<"impossible\n"; return 0; }
show();
return 0;
}
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
5 ms |
4600 KB |
Output is correct |
2 |
Correct |
5 ms |
4600 KB |
Output is correct |
3 |
Incorrect |
4 ms |
4600 KB |
'impossible' claimed, but there is a solution |
4 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
5 ms |
4600 KB |
Output is correct |
2 |
Correct |
5 ms |
4600 KB |
Output is correct |
3 |
Incorrect |
4 ms |
4600 KB |
'impossible' claimed, but there is a solution |
4 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
5 ms |
4600 KB |
Output is correct |
2 |
Correct |
5 ms |
4600 KB |
Output is correct |
3 |
Incorrect |
4 ms |
4600 KB |
'impossible' claimed, but there is a solution |
4 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
53 ms |
6028 KB |
Output is correct |
2 |
Correct |
4 ms |
6028 KB |
Output is correct |
3 |
Correct |
15 ms |
6028 KB |
Output is correct |
4 |
Correct |
20 ms |
6028 KB |
Output is correct |
5 |
Correct |
50 ms |
6028 KB |
Output is correct |
6 |
Correct |
39 ms |
6028 KB |
Output is correct |
7 |
Correct |
53 ms |
6028 KB |
Output is correct |
8 |
Correct |
7 ms |
6028 KB |
Output is correct |
9 |
Correct |
5 ms |
6028 KB |
Output is correct |
10 |
Correct |
64 ms |
6028 KB |
Output is correct |
11 |
Correct |
42 ms |
6028 KB |
Output is correct |
12 |
Correct |
47 ms |
6028 KB |
Output is correct |
13 |
Correct |
4 ms |
6028 KB |
Output is correct |
14 |
Correct |
5 ms |
6028 KB |
Output is correct |
15 |
Correct |
60 ms |
6028 KB |
Output is correct |
16 |
Correct |
22 ms |
6028 KB |
Output is correct |
17 |
Correct |
79 ms |
6028 KB |
Output is correct |
18 |
Correct |
57 ms |
6576 KB |
Output is correct |
19 |
Correct |
7 ms |
6576 KB |
Output is correct |
20 |
Correct |
71 ms |
6576 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
5 ms |
4600 KB |
Output is correct |
2 |
Correct |
5 ms |
4600 KB |
Output is correct |
3 |
Incorrect |
4 ms |
4600 KB |
'impossible' claimed, but there is a solution |
4 |
Halted |
0 ms |
0 KB |
- |