#include<bits/stdc++.h>
using namespace std;
#define FOR(i, a, b) for(int i = a; i < b; ++i)
#define REP(i, n) FOR(i, 0, n)
#define _ << " " <<
#define sz(x) ((int) x.size())
#define pb(x) push_back(x)
#define TRACE(x) cerr << #x << " = " << x << endl
typedef long long ll;
typedef pair<int, int> point;
const int MAXN = 1e5 + 5, off = 1 << 17;
struct event{
int x, y, id;
event(){}
event(int x, int y, int id) : x(x), y(y), id(id) {}
friend bool operator < (const event &A, const event &B){
if(A.x != B.x) return A.x < B.x;
return A.y > B.y;
}
};
int n, m, par[MAXN];
event rail[MAXN];
vector <event> v, ev;
bool sol[MAXN];
struct Tournament{
int t[2 * off], p[2 * off];
Tournament(){}
void reset(){
memset(t, 0, sizeof(t));
memset(p, 0, sizeof(p));
}
void prop(int x){
if(!t[x])
t[x] = p[x];
if(x < off){
p[x * 2] = max(p[x], p[x * 2]);
p[x * 2 + 1] = max(p[x], p[x * 2 + 1]);
}
p[x] = 0;
}
void update(int x, int lo, int hi, int a, int b){
prop(x);
if(lo >= b || hi <= a) return;
if(lo >= a && hi <= b) { p[x] = 1; prop(x); return; }
int mid = (lo + hi) >> 1;
update(x * 2, lo, mid, a, b); update(x * 2 + 1, mid, hi, a, b);
}
int get(int x, int lo, int hi, int a, int b){
prop(x);
if(lo >= b || hi <= a) return 0;
if(lo >= a && hi <= b) return t[x];
int mid = (lo + hi) >> 1;
return get(x * 2, lo, mid, a, b) +
get(x * 2 + 1, mid, hi, a, b);
}
} T;
bool check(int x){
T.reset();
REP(i, m){
if(sol[i] == x){
if(rail[i].x > rail[i].y){
T.update(1, 0, off, rail[i].x, n + 1);
T.update(1, 0, off, 1, rail[i].y + 1);
}
else{
T.update(1, 0, off, rail[i].x, rail[i].y + 1);
}
}
}
int sum = 0;
REP(i, n)
sum += T.get(1, 0, off, i + 1, i + 2);
if(sum == n)
return true;
else
return false;
}
int parent[MAXN];
int f(int x){
if(parent[x] == x) return x;
return par[x] = f(par[x]);
}
void spoji(int x, int y){
x = f(x); y = f(y);
if(x == y) return;
parent[y] = x;
}
int main(){
ios_base::sync_with_stdio(false); cin.tie(0);
memset(par, -1, sizeof(par));
cin >> n >> m;
REP(i, m){
int a, b; cin >> a >> b;
rail[i] = event(a, b, i);
parent[i] = i;
if(a <= b)
v.pb(event(a, b, i));
if(a > b)
v.pb(event(a, b + n, i));
else
v.pb(event(a + n, b + n, i));
}
sort(v.begin(), v.end());
event curr = v[0];
FOR(i, 1, sz(v)){
if(curr.x <= v[i].x && curr.y >= v[i].y){
par[ v[i].id ] = curr.id;
spoji(curr.id, v[i].id);
}
if(curr.y < v[i].y)
curr = v[i];
}
REP(i, m)
if(f(i) == i)
ev.pb(rail[i]);
sort(ev.begin(), ev.end());
assert(sz(ev) % 2 == 0);
for(int i = 0; i < sz(ev); i += 2)
sol[ ev[i].id ] = true;
REP(i, m){
if(f(i) != i)
sol[i] = !sol[ f(i) ] ;
}
if(check(0) && check(1))
REP(i, m)
cout << sol[i];
else
cout << "impossible";
}
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Runtime error |
3 ms |
1408 KB |
Execution killed with signal 11 (could be triggered by violating memory limits) |
| 2 |
Halted |
0 ms |
0 KB |
- |
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Runtime error |
3 ms |
1408 KB |
Execution killed with signal 11 (could be triggered by violating memory limits) |
| 2 |
Halted |
0 ms |
0 KB |
- |
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Runtime error |
3 ms |
1408 KB |
Execution killed with signal 11 (could be triggered by violating memory limits) |
| 2 |
Halted |
0 ms |
0 KB |
- |
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Runtime error |
36 ms |
9448 KB |
Execution killed with signal 11 (could be triggered by violating memory limits) |
| 2 |
Halted |
0 ms |
0 KB |
- |
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Runtime error |
3 ms |
1408 KB |
Execution killed with signal 11 (could be triggered by violating memory limits) |
| 2 |
Halted |
0 ms |
0 KB |
- |
