This submission is migrated from previous version of oj.uz, which used different machine for grading. This submission may have different result if resubmitted.
#include <bits/stdc++.h>
using namespace std;
const int nx=1e5+5;
mt19937 rng(time(0));
int n, m, a[nx], b[nx], cur[nx], dp[nx], res[nx];
vector<pair<int, int>> v;
int main()
{
cin.tie(NULL)->sync_with_stdio(false);
cin>>n>>m;
for (int i=0; i<m; i++)
{
cin>>a[i]>>b[i];
v.push_back({0, i});
}
for (int t=0; t<1000; t++)
{
for (int i=0; i<m; i++) v[i].first=rng(), res[i]=0;
for (int i=1; i<=n; i++) cur[i]=dp[i]=0;
sort(v.begin(), v.end());
for (int i=0; i<m;i ++)
{
if (a[i]<=b[i]) for (int j=a[i]; j<=b[i]; j++) cur[j]++;
else
{
for (int j=a[i]; j<=n; j++) cur[j]++;
for (int j=1; j<=b[i]; j++) cur[j]++;
}
}
for (int i=0; i<m; i++)
{
int idx=v[i].second;
int mn=INT_MAX;
if (a[idx]<=b[idx]) for (int j=a[idx]; j<=b[idx]; j++) mn=min(mn, cur[j]);
else
{
for (int j=a[idx]; j<=n; j++) mn=min(mn, cur[j]);
for (int j=1; j<=b[idx]; j++) mn=min(mn, cur[j]);
}
if (mn>=2)
{
res[idx]=1;
if (a[idx]<=b[idx]) for (int j=a[idx]; j<=b[idx]; j++) cur[j]--, dp[j]++;
else
{
for (int j=a[idx]; j<=n; j++) cur[j]--, dp[j]++;
for (int j=1; j<=b[idx]; j++) cur[j]--, dp[j]++;
}
}
}
int f=0;
for (int i=1;i <=n;i ++) if (dp[i]==0) f=1;
if (!f)
{
for (int i=0; i<m;i ++) cout<<res[i];
return 0;
}
}
cout<<"impossible";
}
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