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>
#include <ext/pb_ds/assoc_container.hpp>
#include <ext/pb_ds/tree_policy.hpp>
#pragma GCC optimize("unroll-loops,no-stack-protector")
#pragma GCC target("sse,sse2,sse3,ssse3,sse4,popcnt,abm,mmx,avx,tune=native")
using namespace __gnu_pbds;
using namespace std;
template <typename T>
using ordered_set = tree<T, null_type, less<T>, rb_tree_tag, tree_order_statistics_node_update>;
typedef long long ll;
typedef long double ld;
vector <pair<ll,ll>> arr;
vector <bool> ans;
ll n,m;
int main(){
ios_base::sync_with_stdio(false);
cin.tie(NULL);
cin >> n >> m;
arr.resize(m);
for (int z=0;z<m;z++){
cin >> arr[z].first >> arr[z].second;
}
vector <ll> seg(n+1,0);
ans.resize(m);
for (int z=0;z<m;z++){
ll l = arr[z].first;
ll r = arr[z].second;
seg[r]++;
while (l != r){
seg[l]++;
l++;
if (l == n+1){
l = 1;
}
}
}
for (int z=0;z<m;z++){
ll l = arr[z].first;
ll r = arr[z].second;
bool ok = true;
while (l != r){
if (seg[l] <= 1){
ok = false;
break;
}
l++;
if (l == n+1){
l = 1;
}
}
if (!ok) continue;
l = arr[z].first;
r = arr[z].second;
seg[r]--;
while (l != r){
seg[l]--;
l++;
if (l == n+1){
l = 1;
}
}
ans[z] = true;
}
vector <pair<bool,bool>> check(n+1);
for (int z=0;z<=n;z++){
check[z].first = false;
check[z].second = false;
}
for (ll z=0;z<m;z++){
if (ans[z]){
ll l = arr[z].first;
ll r = arr[z].second;
check[r].first = true;
while (l != r){
check[l].first = true;
l++;
if (l == n+1){
l = 1;
}
}
} else {
ll l = arr[z].first;
ll r = arr[z].second;
check[r].second = true;
while (l != r){
check[l].second = true;
l++;
if (l == n+1){
l = 1;
}
}
}
}
for (int z=1;z<=n;z++){
if (!check[z].first || !check[z].second){
cout << "impossible" << endl;
return 0;
}
}
for (bool i : ans){
cout << i;
} cout << endl;
}
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