#include <bits/stdc++.h>
#define ll long long
#define pii pair<int, int>
#define pll pair<ll, ll>
#define F first
#define S second
using namespace std;
int N, M, ans[100005], a[100005], b[100005];
vector<int> E[100005];
struct segTree
{
int seg[400005], lazy[400005];
int getval(int i)
{
return seg[i] + lazy[i];
}
void push(int i)
{
lazy[i << 1] += lazy[i];
lazy[i << 1 | 1] += lazy[i];
seg[i] += lazy[i];
lazy[i] = 0;
}
void pull(int i)
{
seg[i] = min(getval(i << 1), getval(i << 1 | 1));
}
void modify(int mL, int mR, int val, int i = 1, int L = 1, int R = N)
{
if (mL <= L && R <= mR)
lazy[i] += val;
else if (R < mL || mR < L)
return;
else
{
int mid = (L + R) / 2;
push(i);
modify(mL, mR, val, i << 1, L, mid);
modify(mL, mR, val, i << 1 | 1, mid + 1, R);
pull(i);
}
}
int query(int qL, int qR, int i = 1, int L = 1, int R = N)
{
if (qL <= L && R <= qR)
return getval(i);
else if (R < qL || qR < L)
return 1e9;
else
{
int mid = (L + R) / 2;
push(i);
return min(query(qL, qR, i << 1, L, mid), query(qL, qR, i << 1 | 1, mid + 1, R));
}
}
} seg;
bool dfs(int u)
{
bool r = 1;
for (int v : E[u])
if (ans[v] == 0)
{
ans[v] = ans[u] ^ 3;
r &= dfs(v);
}
else
r &= (ans[u] ^ ans[v]) == 3;
return r;
}
signed main()
{
ios::sync_with_stdio(0), cin.tie(0);
cin >> N >> M;
set<int> sweep;
vector<pii> event;
for (int i = 1; i <= M; i++)
{
cin >> a[i] >> b[i];
if (b[i] < a[i])
{
sweep.insert(i);
event.emplace_back(pii(b[i] + 1, -i));
event.emplace_back(pii(a[i], i));
}
else
{
event.emplace_back(pii(a[i], i));
event.emplace_back(pii(b[i] + 1, -i));
}
}
sort(event.begin(), event.end());
for (int i = 1, j = 0; i <= N; i++)
{
while (j < event.size() && event[j].F == i)
{
auto [t, k] = event[j];
if (k > 0)
sweep.insert(k);
else
sweep.erase(-k);
j++;
}
if (sweep.size() == 1)
{
cout << "impossible\n";
return 0;
}
else if (sweep.size() == 2)
{
int u = *sweep.begin(), v = *next(sweep.begin());
E[u].emplace_back(v);
E[v].emplace_back(u);
}
}
for (int i = 1; i <= M; i++)
if (ans[i] == 0 && !E[i].empty())
{
ans[i] = 1;
if (!dfs(i))
{
cout << "impossible\n";
return 0;
}
}
for (int i = 1; i <= M; i++)
{
if (ans[i] <= 1)
{
if (b[i] < a[i])
{
seg.modify(a[i], N, 1);
seg.modify(1, b[i], 1);
}
else
seg.modify(a[i], b[i], 1);
}
}
for (int i = 1; i <= M; i++)
if (ans[i] == 0)
{
int rem = 0;
if (b[i] < a[i])
rem = min(seg.query(a[i], N), seg.query(1, b[i]));
else
rem = seg.query(a[i], b[i]);
if (rem >= 2)
{
ans[i] = 2;
if (b[i] < a[i])
{
seg.modify(a[i], N, -1);
seg.modify(1, b[i], -1);
}
else
seg.modify(a[i], b[i], -1);
}
else
ans[i] = 1;
if (b[i] < a[i])
rem = min(seg.query(a[i], N), seg.query(1, b[i]));
else
rem = seg.query(a[i], b[i]);
assert(rem > 0);
}
for (int i = 1; i <= M; i++)
cout << ans[i] - 1;
cout << '\n';
}
/*
5 6
1 3
2 4
3 5
4 1
5 2
1 3
*/
Compilation message
alternating.cpp: In function 'int main()':
alternating.cpp:103:18: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<std::pair<int, int> >::size_type' {aka 'long unsigned int'} [-Wsign-compare]
103 | while (j < event.size() && event[j].F == i)
| ~~^~~~~~~~~~~~~~
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
1 ms |
2644 KB |
Output is correct |
2 |
Correct |
1 ms |
2644 KB |
Output is correct |
3 |
Correct |
2 ms |
2644 KB |
Output is correct |
4 |
Correct |
2 ms |
2644 KB |
Output is correct |
5 |
Correct |
2 ms |
2672 KB |
Output is correct |
6 |
Correct |
2 ms |
2644 KB |
Output is correct |
7 |
Correct |
2 ms |
2644 KB |
Output is correct |
8 |
Correct |
2 ms |
2644 KB |
Output is correct |
9 |
Correct |
1 ms |
2644 KB |
Output is correct |
10 |
Correct |
1 ms |
2644 KB |
Output is correct |
11 |
Correct |
1 ms |
2644 KB |
Output is correct |
12 |
Correct |
2 ms |
2644 KB |
Output is correct |
13 |
Correct |
1 ms |
2644 KB |
Output is correct |
14 |
Correct |
1 ms |
2644 KB |
Output is correct |
15 |
Correct |
2 ms |
2644 KB |
Output is correct |
16 |
Correct |
1 ms |
2644 KB |
Output is correct |
17 |
Correct |
2 ms |
2644 KB |
Output is correct |
18 |
Correct |
1 ms |
2644 KB |
Output is correct |
19 |
Correct |
2 ms |
2644 KB |
Output is correct |
20 |
Correct |
1 ms |
2644 KB |
Output is correct |
21 |
Correct |
1 ms |
2644 KB |
Output is correct |
22 |
Correct |
1 ms |
2644 KB |
Output is correct |
23 |
Correct |
1 ms |
2644 KB |
Output is correct |
24 |
Correct |
1 ms |
2644 KB |
Output is correct |
25 |
Correct |
2 ms |
2644 KB |
Output is correct |
26 |
Correct |
2 ms |
2644 KB |
Output is correct |
27 |
Incorrect |
1 ms |
2644 KB |
no wires in direction 0 between segments 15 and 15 |
28 |
Halted |
0 ms |
0 KB |
- |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
1 ms |
2644 KB |
Output is correct |
2 |
Correct |
1 ms |
2644 KB |
Output is correct |
3 |
Correct |
2 ms |
2644 KB |
Output is correct |
4 |
Correct |
2 ms |
2644 KB |
Output is correct |
5 |
Correct |
2 ms |
2672 KB |
Output is correct |
6 |
Correct |
2 ms |
2644 KB |
Output is correct |
7 |
Correct |
2 ms |
2644 KB |
Output is correct |
8 |
Correct |
2 ms |
2644 KB |
Output is correct |
9 |
Correct |
1 ms |
2644 KB |
Output is correct |
10 |
Correct |
1 ms |
2644 KB |
Output is correct |
11 |
Correct |
1 ms |
2644 KB |
Output is correct |
12 |
Correct |
2 ms |
2644 KB |
Output is correct |
13 |
Correct |
1 ms |
2644 KB |
Output is correct |
14 |
Correct |
1 ms |
2644 KB |
Output is correct |
15 |
Correct |
2 ms |
2644 KB |
Output is correct |
16 |
Correct |
1 ms |
2644 KB |
Output is correct |
17 |
Correct |
2 ms |
2644 KB |
Output is correct |
18 |
Correct |
1 ms |
2644 KB |
Output is correct |
19 |
Correct |
2 ms |
2644 KB |
Output is correct |
20 |
Correct |
1 ms |
2644 KB |
Output is correct |
21 |
Correct |
1 ms |
2644 KB |
Output is correct |
22 |
Correct |
1 ms |
2644 KB |
Output is correct |
23 |
Correct |
1 ms |
2644 KB |
Output is correct |
24 |
Correct |
1 ms |
2644 KB |
Output is correct |
25 |
Correct |
2 ms |
2644 KB |
Output is correct |
26 |
Correct |
2 ms |
2644 KB |
Output is correct |
27 |
Incorrect |
1 ms |
2644 KB |
no wires in direction 0 between segments 15 and 15 |
28 |
Halted |
0 ms |
0 KB |
- |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
1 ms |
2644 KB |
Output is correct |
2 |
Correct |
1 ms |
2644 KB |
Output is correct |
3 |
Correct |
2 ms |
2644 KB |
Output is correct |
4 |
Correct |
2 ms |
2644 KB |
Output is correct |
5 |
Correct |
2 ms |
2672 KB |
Output is correct |
6 |
Correct |
2 ms |
2644 KB |
Output is correct |
7 |
Correct |
2 ms |
2644 KB |
Output is correct |
8 |
Correct |
2 ms |
2644 KB |
Output is correct |
9 |
Correct |
1 ms |
2644 KB |
Output is correct |
10 |
Correct |
1 ms |
2644 KB |
Output is correct |
11 |
Correct |
1 ms |
2644 KB |
Output is correct |
12 |
Correct |
2 ms |
2644 KB |
Output is correct |
13 |
Correct |
1 ms |
2644 KB |
Output is correct |
14 |
Correct |
1 ms |
2644 KB |
Output is correct |
15 |
Correct |
2 ms |
2644 KB |
Output is correct |
16 |
Correct |
1 ms |
2644 KB |
Output is correct |
17 |
Correct |
2 ms |
2644 KB |
Output is correct |
18 |
Correct |
1 ms |
2644 KB |
Output is correct |
19 |
Correct |
2 ms |
2644 KB |
Output is correct |
20 |
Correct |
1 ms |
2644 KB |
Output is correct |
21 |
Correct |
1 ms |
2644 KB |
Output is correct |
22 |
Correct |
1 ms |
2644 KB |
Output is correct |
23 |
Correct |
1 ms |
2644 KB |
Output is correct |
24 |
Correct |
1 ms |
2644 KB |
Output is correct |
25 |
Correct |
2 ms |
2644 KB |
Output is correct |
26 |
Correct |
2 ms |
2644 KB |
Output is correct |
27 |
Incorrect |
1 ms |
2644 KB |
no wires in direction 0 between segments 15 and 15 |
28 |
Halted |
0 ms |
0 KB |
- |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
49 ms |
10120 KB |
Output is correct |
2 |
Correct |
4 ms |
3664 KB |
Output is correct |
3 |
Correct |
15 ms |
4088 KB |
Output is correct |
4 |
Correct |
79 ms |
7964 KB |
Output is correct |
5 |
Correct |
70 ms |
10004 KB |
Output is correct |
6 |
Correct |
37 ms |
5328 KB |
Output is correct |
7 |
Correct |
69 ms |
9804 KB |
Output is correct |
8 |
Correct |
6 ms |
4948 KB |
Output is correct |
9 |
Correct |
5 ms |
4820 KB |
Output is correct |
10 |
Correct |
72 ms |
10292 KB |
Output is correct |
11 |
Correct |
57 ms |
8892 KB |
Output is correct |
12 |
Correct |
68 ms |
9920 KB |
Output is correct |
13 |
Incorrect |
3 ms |
3836 KB |
no wires in direction 0 between segments 100000 and 100000 |
14 |
Halted |
0 ms |
0 KB |
- |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
1 ms |
2644 KB |
Output is correct |
2 |
Correct |
1 ms |
2644 KB |
Output is correct |
3 |
Correct |
2 ms |
2644 KB |
Output is correct |
4 |
Correct |
2 ms |
2644 KB |
Output is correct |
5 |
Correct |
2 ms |
2672 KB |
Output is correct |
6 |
Correct |
2 ms |
2644 KB |
Output is correct |
7 |
Correct |
2 ms |
2644 KB |
Output is correct |
8 |
Correct |
2 ms |
2644 KB |
Output is correct |
9 |
Correct |
1 ms |
2644 KB |
Output is correct |
10 |
Correct |
1 ms |
2644 KB |
Output is correct |
11 |
Correct |
1 ms |
2644 KB |
Output is correct |
12 |
Correct |
2 ms |
2644 KB |
Output is correct |
13 |
Correct |
1 ms |
2644 KB |
Output is correct |
14 |
Correct |
1 ms |
2644 KB |
Output is correct |
15 |
Correct |
2 ms |
2644 KB |
Output is correct |
16 |
Correct |
1 ms |
2644 KB |
Output is correct |
17 |
Correct |
2 ms |
2644 KB |
Output is correct |
18 |
Correct |
1 ms |
2644 KB |
Output is correct |
19 |
Correct |
2 ms |
2644 KB |
Output is correct |
20 |
Correct |
1 ms |
2644 KB |
Output is correct |
21 |
Correct |
1 ms |
2644 KB |
Output is correct |
22 |
Correct |
1 ms |
2644 KB |
Output is correct |
23 |
Correct |
1 ms |
2644 KB |
Output is correct |
24 |
Correct |
1 ms |
2644 KB |
Output is correct |
25 |
Correct |
2 ms |
2644 KB |
Output is correct |
26 |
Correct |
2 ms |
2644 KB |
Output is correct |
27 |
Incorrect |
1 ms |
2644 KB |
no wires in direction 0 between segments 15 and 15 |
28 |
Halted |
0 ms |
0 KB |
- |