#include <bits/stdc++.h>
using namespace std;
#define pb push_back
const int N=200050;
int l[N],r[N],n,m;
int GetMax()
{
int mx=-1,sz=-1;
for(int i=1;i<=m;i++)
{
int tmp=r[i]-l[i]+1;
if(l[i]>r[i]) tmp=n-l[i]+1+r[i];
if(tmp>sz) sz=tmp,mx=i;
}
return mx;
}
void Rotate(int x)
{
for(int i=1;i<=m;i++)
{
l[i]-=x-1;if(l[i]<=0) l[i]+=n;
r[i]-=x-1;if(r[i]<=0) r[i]+=n;
}
}
int sum[N];
bool bad[N];
bool use[N];
vector<int> all[N];
bool Check(int x)
{
for(int i=1;i<=n;i++) sum[i]=0;
int cur=0;
for(int i=1;i<=m;i++) if(use[i]==x)
{
sum[l[i]]++;
if(r[i]>n) sum[r[i]-n+1]--,cur++;
else sum[r[i]+1]--;
}
for(int i=1;i<=n;i++)
{
cur+=sum[i];
if(cur==0) return 0;
}
return 1;
}
vector<int> v[N],E[N];
set<pair<int,int>> edges;
bool dp[N];
int go[N];
int main()
{
scanf("%i %i",&n,&m);
for(int i=1;i<=m;i++) scanf("%i %i",&l[i],&r[i]);
int fir=GetMax();
Rotate(l[fir]);
int cur=0;
for(int i=1;i<=m;i++)
{
sum[r[i]+1]--;
sum[l[i]]++;
if(l[i]>r[i]) cur++;
}
vector<int> pos;
for(int i=1;i<=n;i++)
{
cur+=sum[i];
if(cur<2) return 0*printf("impossible\n");
if(cur==2) bad[i]=1,pos.pb(i);
}
if(pos.size())
{
for(int i=1;i<=m;i++)
{
int L=lower_bound(pos.begin(),pos.end(),l[i])-pos.begin();
int R=upper_bound(pos.begin(),pos.end(),r[i])-pos.begin();
L%=pos.size();
R%=pos.size();
int j=L;
do
{
v[j].pb(i);
j=(j+1)%pos.size();
}while(j!=R);
//for(int j=L;j!=R;j=(j+1)%pos.size()) v[j].pb(i);
}
for(int j=0;j<pos.size();j++)
{
E[v[j][0]].pb(v[j][1]);
E[v[j][1]].pb(v[j][0]);
edges.insert({v[j][0],v[j][1]});
edges.insert({v[j][1],v[j][0]});
//printf("(%i %i)\n",v[j][0],v[j][1]);
}
}
dp[fir]=1;
for(int i=1;i<=m;i++)
{
if(r[i]<l[i]) r[i]+=n;
if(r[i]>r[fir])
{
all[r[i]].pb(i);
}
}
for(int i=r[fir]+1;i<2*n;i++)
{
for(int seg:all[i])
{
for(int j=1;j<=m;j++) if(r[j]<r[seg] && dp[j])
{
if(l[seg]<=r[j]+1 && !edges.count({seg,j}))
{
if(!dp[seg] || r[j]<r[go[seg]]) go[seg]=j;
dp[seg]=1;
}
}
}
}
int p=-1;
for(int i=1;i<=m;i++) if(dp[i] && r[i]>=n && !edges.count({fir,i})) p=i;
if(p==-1) return 0*printf("impossible\n");
while(p) use[p]=1,p=go[p];
for(int i=1;i<=m;i++) printf("%i",use[i]);
return 0;
}
Compilation message
alternating.cpp: In function 'int main()':
alternating.cpp:86:16: warning: comparison between signed and unsigned integer expressions [-Wsign-compare]
for(int j=0;j<pos.size();j++)
~^~~~~~~~~~~
alternating.cpp:52:7: warning: ignoring return value of 'int scanf(const char*, ...)', declared with attribute warn_unused_result [-Wunused-result]
scanf("%i %i",&n,&m);
~~~~~^~~~~~~~~~~~~~~
alternating.cpp:53:29: warning: ignoring return value of 'int scanf(const char*, ...)', declared with attribute warn_unused_result [-Wunused-result]
for(int i=1;i<=m;i++) scanf("%i %i",&l[i],&r[i]);
~~~~~^~~~~~~~~~~~~~~~~~~~~
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
14 ms |
14456 KB |
Output is correct |
2 |
Correct |
14 ms |
14456 KB |
Output is correct |
3 |
Correct |
14 ms |
14456 KB |
Output is correct |
4 |
Correct |
14 ms |
14456 KB |
Output is correct |
5 |
Correct |
17 ms |
14584 KB |
Output is correct |
6 |
Incorrect |
16 ms |
14456 KB |
no wires in direction 0 between segments 1 and 2 |
7 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
14 ms |
14456 KB |
Output is correct |
2 |
Correct |
14 ms |
14456 KB |
Output is correct |
3 |
Correct |
14 ms |
14456 KB |
Output is correct |
4 |
Correct |
14 ms |
14456 KB |
Output is correct |
5 |
Correct |
17 ms |
14584 KB |
Output is correct |
6 |
Incorrect |
16 ms |
14456 KB |
no wires in direction 0 between segments 1 and 2 |
7 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
14 ms |
14456 KB |
Output is correct |
2 |
Correct |
14 ms |
14456 KB |
Output is correct |
3 |
Correct |
14 ms |
14456 KB |
Output is correct |
4 |
Correct |
14 ms |
14456 KB |
Output is correct |
5 |
Correct |
17 ms |
14584 KB |
Output is correct |
6 |
Incorrect |
16 ms |
14456 KB |
no wires in direction 0 between segments 1 and 2 |
7 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
42 ms |
16180 KB |
Output is correct |
2 |
Correct |
37 ms |
19312 KB |
Output is correct |
3 |
Correct |
26 ms |
15864 KB |
Output is correct |
4 |
Correct |
37 ms |
16760 KB |
Output is correct |
5 |
Execution timed out |
3102 ms |
33096 KB |
Time limit exceeded |
6 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
14 ms |
14456 KB |
Output is correct |
2 |
Correct |
14 ms |
14456 KB |
Output is correct |
3 |
Correct |
14 ms |
14456 KB |
Output is correct |
4 |
Correct |
14 ms |
14456 KB |
Output is correct |
5 |
Correct |
17 ms |
14584 KB |
Output is correct |
6 |
Incorrect |
16 ms |
14456 KB |
no wires in direction 0 between segments 1 and 2 |
7 |
Halted |
0 ms |
0 KB |
- |