#include <bits/stdc++.h>
using namespace std;
#define INF int(1e9+7)
#define FOR(i,s,n) for (int i = s; i < n; i++)
#define FORR(i,n,s) for (int i = n; i > s; i--)
#define FORX(u, arr) for (auto u : arr)
#define ln '\n'
#define ll long long
#define PII pair<int, int>
#define PLL pair<ll, ll>
#define ALL(v) v.begin(), v.end()
#define PB push_back
#define F first
#define S second
const ll LLINF = 1e18+1;
struct Wire {
int l,r,idx;
};
const int MAXN = 1e5+1;
int n,m;
PII p[MAXN], q[MAXN];
bool res[MAXN], z[MAXN];
vector<Wire> pro,noob;
int pn,nn;
int w[MAXN];
bool cmp(const Wire& x, const Wire& y) {
return x.l < y.l;
}
bool check(int k) {
vector<PII> a,b;
vector<int> dir(m,0);
FOR(i,0,m) res[i] = 0;
FOR(i,0,pn) {
if ((i+k)%2 == 0) {
a.PB(q[pro[(i+k)%pn].idx]);
dir[pro[i].idx] = 0;
}
else {
b.PB(q[pro[(i+k)%pn].idx]);
dir[pro[i].idx] = 1;
res[pro[i].idx] = 1;
}
}
FOR(i,0,nn) {
if (dir[w[noob[i].idx]] == 0) {
b.PB(q[noob[i].idx]);
res[noob[i].idx] = 1;
}
else a.PB(q[noob[i].idx]);
}
sort(ALL(a));
sort(ALL(b));
// FORX(u,a) cout << u.F << ' ';
// cout << ln;
// FORX(u,b) cout << u.F << ' ';
// cout << ln;
// cout << ln;
int pos = a[0].S, idx = 0;
while (idx < a.size() && pos < a[0].F+n-1) {
if (a[idx].F > pos+1) return 0;
pos = a[idx].S;
idx++;
}
if (pos < a[0].F+n-1) return 0;
pos = b[0].S, idx = 0;
while (idx < b.size() && pos < b[0].F+n-1) {
if (b[idx].F > pos+1) return 0;
pos = pos,b[idx].S;
idx++;
}
if (pos < b[0].F+n-1) return 0;
return 1;
}
signed main() {
cin >> n >> m;
FOR(i,0,m) cin >> p[i].F >> p[i].S;
FOR(i,0,m) {
q[i].F = p[i].F;
q[i].S = p[i].S < p[i].F ? p[i].S+n : p[i].S;
}
FOR(i,0,m) {
if (z[i]) continue;
FOR(j,0,m) {
if (i == j) continue;
if ((q[i].F <= q[j].F && q[i].S >= q[j].S) ||
((p[i].S%n) == p[i].F-1) ||
(p[j].S >= p[j].F && q[i].F <= p[j].F+n && q[i].S >= p[j].S+n)) {
z[j] = 1;
w[j] = i;
}
}
}
FOR(i,0,m) {
if (!z[i]) pro.PB({q[i].F,q[i].S,i});
else noob.PB({q[i].F,q[i].S,i});
}
sort(ALL(pro),cmp);
sort(ALL(noob),cmp);
// FORX(u,pro) cout << u.idx << ' ';
// cout << ln;
// FORX(u,noob) cout << u.idx << ' ';
// cout << ln;
pn = pro.size(), nn = noob.size();
FOR(i,0,pn) {
// FOR(j,0,pn) {
// if ((j+i)%2 == 0) cout << (i+j)%pn;
// }
// cout << ln;
// FOR(j,0,pn) {
// if ((j+i)%2 == 1) cout << (i+j)%pn;
// }
// cout << ln << ln;
if (check(i)) {
FOR(j,0,m) cout << res[j];
return 0;
}
}
cout << "impossible";
}
Compilation message
alternating.cpp: In function 'bool check(int)':
alternating.cpp:63:16: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<std::pair<int, int> >::size_type' {aka 'long unsigned int'} [-Wsign-compare]
63 | while (idx < a.size() && pos < a[0].F+n-1) {
| ~~~~^~~~~~~~~~
alternating.cpp:70:16: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<std::pair<int, int> >::size_type' {aka 'long unsigned int'} [-Wsign-compare]
70 | while (idx < b.size() && pos < b[0].F+n-1) {
| ~~~~^~~~~~~~~~
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
0 ms |
212 KB |
Output is correct |
2 |
Correct |
0 ms |
212 KB |
Output is correct |
3 |
Incorrect |
0 ms |
212 KB |
'impossible' claimed, but there is a solution |
4 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
0 ms |
212 KB |
Output is correct |
2 |
Correct |
0 ms |
212 KB |
Output is correct |
3 |
Incorrect |
0 ms |
212 KB |
'impossible' claimed, but there is a solution |
4 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
0 ms |
212 KB |
Output is correct |
2 |
Correct |
0 ms |
212 KB |
Output is correct |
3 |
Incorrect |
0 ms |
212 KB |
'impossible' claimed, but there is a solution |
4 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
68 ms |
5824 KB |
Output is correct |
2 |
Correct |
0 ms |
212 KB |
Output is correct |
3 |
Correct |
42 ms |
3008 KB |
Output is correct |
4 |
Incorrect |
33 ms |
2948 KB |
'impossible' claimed, but there is a solution |
5 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
0 ms |
212 KB |
Output is correct |
2 |
Correct |
0 ms |
212 KB |
Output is correct |
3 |
Incorrect |
0 ms |
212 KB |
'impossible' claimed, but there is a solution |
4 |
Halted |
0 ms |
0 KB |
- |