#include <bits/stdc++.h>
using namespace std;
constexpr int maxn = 3e5+10;
int pref[maxn];
int mx = 0, ini_mx = 0, n, m;
struct Wire {
int l, r, id;
int sz() const { return r >= l ? r - l + 1 : r + (n - l + 1); }
bool operator<(const Wire& o) const {
if(l == o.l) return this->sz() > o.sz();
if((l >= ini_mx) == (o.l >= ini_mx)) return l < o.l; // retorno o que tem o menor l já que eles são da mesma metade
return l > o.l; // já que eles são de metades diferentes eu retorno o que tiver na metade maior
}
} wr[maxn];
int pai[maxn];
int main() {
scanf("%d %d", &n, &m);
for(int i = 0; i < m; i++) {
scanf("%d %d", &wr[i].l, &wr[i].r); wr[i].id = i;
if(wr[i].l <= wr[i].r) {
pref[wr[i].l]++;
pref[wr[i].r+1]--;
} else {
pref[wr[i].l]++;
pref[1]++;
pref[wr[i].r+1]--;
}
if(wr[i].sz() > mx) {
mx = wr[i].sz();
ini_mx = wr[i].l;
}
}
for(int i = 1; i <= n; i++) {
pref[i] += pref[i-1];
pref[i+n] = pref[i];
if(pref[i] < 2) return puts("impossible"), 0;
}
sort(wr, wr+m);
bool virou = 0;
int fim = 0, aberto = -1;
vector<Wire> brabos;
memset(pai, -1, sizeof pai);
for(int i = 0; i < m; i++) {
auto [l, r, id] = wr[i];
if(r < l) r += n;
if(make_pair(virou, fim) < make_pair(min(l, r) < ini_mx, r)) {
brabos.push_back(wr[i]);
aberto = id;
fim = r;
virou |= min(l, r) < ini_mx;
} else pai[id] = aberto;
}
/* puts("BRABOS: ");
printf("Size: %ld\n", brabos.size());
for(Wire x : brabos)
printf("(%d %d %d) ", x.l, x.r, x.id);
puts(""); */
vector<int> ans(m);
auto print = [&]() {
for(int i = 0; i < m; i++)
printf("%d", ans[i]);
puts("");
exit(0);
};
if(brabos[0].sz() == n) {
ans[brabos[0].id] = 1;
print();
}
if(brabos.size() % 2 == 0) {
for(int i = 0; i < brabos.size(); i++)
ans[brabos[i].id] = i&1;
for(int i = 0; i < m; i++)
if(pai[i] != -1) ans[i] = 1^ans[pai[i]];
print();
}
sort(brabos.begin(), brabos.end(), [](const Wire& a, const Wire& b) { return a.l < b.l; });
for(int i = 0; i < brabos.size(); i++) {
auto nxt = [&](int x) { return (x+1) % brabos.size(); };
auto eu = brabos[i], prox = brabos[nxt(i)];
int l = prox.l, r = eu.r;
if(r < l) r += n;
bool tem = 1;
for(int j = l; j <= r; j++)
tem &= pref[j] >= 3;
auto no_intersection = [](Wire a, Wire b) {
if(a.r < a.l) a.r += n;
if(b.r < b.l) b.r += n;
if(a.r < b.l) return 1;
return 0;
};
if(tem || no_intersection(eu, prox)) {
// printf("BOM %d | %d %d\n", i, l, r);
bool opa = 1;
ans[ brabos[i].id ] = opa;
for(int j = nxt(i); j != i; j = nxt(j)) {
ans[ brabos[j].id ] = opa;
opa ^= 1;
}
for(int i = 0; i < m; i++)
if(pai[i] != -1) ans[i] = 1^ans[pai[i]];
print();
}
}
puts("impossible");
}
Compilation message
alternating.cpp: In function 'int main()':
alternating.cpp:86:20: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<Wire>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
86 | for(int i = 0; i < brabos.size(); i++)
| ~~^~~~~~~~~~~~~~~
alternating.cpp:97:19: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<Wire>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
97 | for(int i = 0; i < brabos.size(); i++) {
| ~~^~~~~~~~~~~~~~~
alternating.cpp:22:7: warning: ignoring return value of 'int scanf(const char*, ...)' declared with attribute 'warn_unused_result' [-Wunused-result]
22 | scanf("%d %d", &n, &m);
| ~~~~~^~~~~~~~~~~~~~~~~
alternating.cpp:24:8: warning: ignoring return value of 'int scanf(const char*, ...)' declared with attribute 'warn_unused_result' [-Wunused-result]
24 | scanf("%d %d", &wr[i].l, &wr[i].r); wr[i].id = i;
| ~~~~~^~~~~~~~~~~~~~~~~~~~~~~~~~~~~
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
1 ms |
1488 KB |
Output is correct |
2 |
Correct |
1 ms |
1456 KB |
Output is correct |
3 |
Correct |
1 ms |
1448 KB |
Output is correct |
4 |
Correct |
1 ms |
1488 KB |
Output is correct |
5 |
Correct |
1 ms |
1488 KB |
Output is correct |
6 |
Correct |
1 ms |
1488 KB |
Output is correct |
7 |
Correct |
1 ms |
1360 KB |
Output is correct |
8 |
Correct |
0 ms |
208 KB |
Output is correct |
9 |
Correct |
1 ms |
1360 KB |
Output is correct |
10 |
Correct |
1 ms |
208 KB |
Output is correct |
11 |
Correct |
0 ms |
208 KB |
Output is correct |
12 |
Incorrect |
1 ms |
1488 KB |
no wires in direction 1 between segments 6 and 7 |
13 |
Halted |
0 ms |
0 KB |
- |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
1 ms |
1488 KB |
Output is correct |
2 |
Correct |
1 ms |
1456 KB |
Output is correct |
3 |
Correct |
1 ms |
1448 KB |
Output is correct |
4 |
Correct |
1 ms |
1488 KB |
Output is correct |
5 |
Correct |
1 ms |
1488 KB |
Output is correct |
6 |
Correct |
1 ms |
1488 KB |
Output is correct |
7 |
Correct |
1 ms |
1360 KB |
Output is correct |
8 |
Correct |
0 ms |
208 KB |
Output is correct |
9 |
Correct |
1 ms |
1360 KB |
Output is correct |
10 |
Correct |
1 ms |
208 KB |
Output is correct |
11 |
Correct |
0 ms |
208 KB |
Output is correct |
12 |
Incorrect |
1 ms |
1488 KB |
no wires in direction 1 between segments 6 and 7 |
13 |
Halted |
0 ms |
0 KB |
- |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
1 ms |
1488 KB |
Output is correct |
2 |
Correct |
1 ms |
1456 KB |
Output is correct |
3 |
Correct |
1 ms |
1448 KB |
Output is correct |
4 |
Correct |
1 ms |
1488 KB |
Output is correct |
5 |
Correct |
1 ms |
1488 KB |
Output is correct |
6 |
Correct |
1 ms |
1488 KB |
Output is correct |
7 |
Correct |
1 ms |
1360 KB |
Output is correct |
8 |
Correct |
0 ms |
208 KB |
Output is correct |
9 |
Correct |
1 ms |
1360 KB |
Output is correct |
10 |
Correct |
1 ms |
208 KB |
Output is correct |
11 |
Correct |
0 ms |
208 KB |
Output is correct |
12 |
Incorrect |
1 ms |
1488 KB |
no wires in direction 1 between segments 6 and 7 |
13 |
Halted |
0 ms |
0 KB |
- |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
27 ms |
4772 KB |
Output is correct |
2 |
Correct |
2 ms |
2252 KB |
Output is correct |
3 |
Correct |
9 ms |
1840 KB |
Output is correct |
4 |
Correct |
15 ms |
3632 KB |
Output is correct |
5 |
Correct |
37 ms |
5412 KB |
Output is correct |
6 |
Correct |
20 ms |
2992 KB |
Output is correct |
7 |
Correct |
40 ms |
5100 KB |
Output is correct |
8 |
Correct |
2 ms |
2252 KB |
Output is correct |
9 |
Correct |
2 ms |
2124 KB |
Output is correct |
10 |
Correct |
40 ms |
5568 KB |
Output is correct |
11 |
Correct |
30 ms |
4640 KB |
Output is correct |
12 |
Correct |
34 ms |
4760 KB |
Output is correct |
13 |
Correct |
1 ms |
1048 KB |
Output is correct |
14 |
Correct |
1 ms |
972 KB |
Output is correct |
15 |
Correct |
44 ms |
5108 KB |
Output is correct |
16 |
Correct |
11 ms |
2220 KB |
Output is correct |
17 |
Correct |
39 ms |
4952 KB |
Output is correct |
18 |
Correct |
34 ms |
4060 KB |
Output is correct |
19 |
Correct |
2 ms |
716 KB |
Output is correct |
20 |
Correct |
43 ms |
5336 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
1 ms |
1488 KB |
Output is correct |
2 |
Correct |
1 ms |
1456 KB |
Output is correct |
3 |
Correct |
1 ms |
1448 KB |
Output is correct |
4 |
Correct |
1 ms |
1488 KB |
Output is correct |
5 |
Correct |
1 ms |
1488 KB |
Output is correct |
6 |
Correct |
1 ms |
1488 KB |
Output is correct |
7 |
Correct |
1 ms |
1360 KB |
Output is correct |
8 |
Correct |
0 ms |
208 KB |
Output is correct |
9 |
Correct |
1 ms |
1360 KB |
Output is correct |
10 |
Correct |
1 ms |
208 KB |
Output is correct |
11 |
Correct |
0 ms |
208 KB |
Output is correct |
12 |
Incorrect |
1 ms |
1488 KB |
no wires in direction 1 between segments 6 and 7 |
13 |
Halted |
0 ms |
0 KB |
- |