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>
#define x first
#define y second
#define all(v) v.begin(), v.end()
#define compress(v) sort(all(v)), v.erase(unique(all(v)), v.end())
using namespace std;
typedef long long ll;
struct Info{
int s, e, x;
Info() : Info(0, 0, 0) {}
Info(int s, int e, int x) : s(s), e(e), x(x) {}
bool operator < (const Info &t) const {
if(s != t.s) return s < t.s;
if(e != t.e) return e > t.e;
return x < t.x;
}
};
int n, m;
Info a[101010];
int ans[101010];
bool chk[101010][2];
void naive(){
for(int bit=0; bit<(1 << m); bit++){
memset(chk, 0, sizeof chk);
for(int i=1; i<=m; i++){
for(int k=a[i].s; ; k++){
if(k > n) k = 1;
chk[k][bit >> i-1 & 1] = 1;
if(k == a[i].e) break;
}
}
int flag = 1;
for(int i=1; i<=n; i++) flag &= (chk[i][0] & chk[i][1]);
if(flag){
for(int i=0; i<m; i++) cout << (bit >> i & 1);
return;
}
}
cout << "impossible";
}
int main(){
ios_base::sync_with_stdio(false); cin.tie(nullptr);
cin >> n >> m;
for(int i=1; i<=m; i++){ cin >> a[i].s >> a[i].e; a[i].x = i; }
if(n <= 15 && m <= 15){ naive(); return 0; }
sort(a+1, a+m+1);
int cnt0 = 0, cnt1 = 0;
for(int i=1; i<=m; i++){
int s = a[i].s, e = a[i].e, x = a[i].x;
if(cnt0 < cnt1){
if(cnt0 >= s-1) cnt0 = max(cnt0, e), ans[x] = 0;
}else{
if(cnt1 >= s-1) cnt1 = max(cnt1, e), ans[x] = 1;
}
}
if(cnt0 < n || cnt1 < n){
cout << "impossible"; return 0;
}
for(int i=1; i<=m; i++) cout << ans[i];
}
Compilation message (stderr)
alternating.cpp: In function 'void naive()':
alternating.cpp:32:32: warning: suggest parentheses around '-' inside '>>' [-Wparentheses]
chk[k][bit >> i-1 & 1] = 1;
~^~
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