Submission details
Task:Building Teams
Sender:aalto26bm_024
Submission time:2026-09-07 16:35:59 +0300
Language:Python3 (PyPy3)
Status:READY
Result:
Test results
testverdicttime
#10.07 sdetails
#20.07 sdetails
#30.07 sdetails
#40.07 sdetails
#5ACCEPTED0.07 sdetails
#60.29 sdetails
#70.29 sdetails
#80.29 sdetails
#90.29 sdetails
#10ACCEPTED0.29 sdetails
#11ACCEPTED0.07 sdetails
#12ACCEPTED0.07 sdetails

Code

import queue

n, m = map(int, input().split())

adj = [[] for _ in range(n + 1)]
for _ in range(m):
    a, b = map(int, input().split())
    adj[a].append(b)
    # adj[b].append(a)

solution = [0] * (n + 1)
visited = set()
not_visited = set([i for i in range(1, n + 1)])
q = queue.Queue()


def dfs() -> bool:
    while not q.empty():
        node, team = q.get()

        if solution[node] == 0:
            solution[node] = team
        else:
            return False

        if node in visited:
            continue
        visited.add(node)
        not_visited.remove(node)
        for s in adj[node]:
            q.put((s, 1 if team == 2 else 2))
    return True


cycle = False
while len(visited) < n and not cycle:
    h = not_visited.pop()
    not_visited.add(h)
    q.put((h, 1))
    cycle = not dfs()

if cycle:
    print("IMPOSSIBLE")
else:
    print(" ".join(str(s) for s in solution[1:]))

Test details

Test 1

Verdict:

input
10 20
3 4
8 10
3 7
1 8
...

correct output
1 1 1 2 2 1 2 2 2 1 

user output
IMPOSSIBLE

Test 2

Verdict:

input
10 20
1 3
8 10
2 4
6 8
...

correct output
1 1 2 2 1 1 1 2 1 1 

user output
IMPOSSIBLE

Test 3

Verdict:

input
10 20
7 10
3 10
9 10
2 10
...

correct output
1 2 2 1 1 1 2 1 2 1 

user output
IMPOSSIBLE

Test 4

Verdict:

input
10 20
2 4
2 10
7 10
4 6
...

correct output
1 2 1 1 2 2 2 1 2 1 

user output
IMPOSSIBLE

Test 5

Verdict: ACCEPTED

input
10 20
3 5
8 10
9 10
1 8
...

correct output
IMPOSSIBLE

user output
IMPOSSIBLE

Test 6

Verdict:

input
100000 200000
47355 96505
90709 92058
735 80715
91802 94265
...

correct output
1 2 2 1 2 1 1 1 2 2 1 2 1 1 1 ...

user output
IMPOSSIBLE

Test 7

Verdict:

input
100000 200000
59991 95794
95150 96051
78453 94730
90411 95523
...

correct output
1 1 1 2 2 1 1 2 1 2 1 2 2 2 1 ...

user output
IMPOSSIBLE

Test 8

Verdict:

input
100000 200000
89827 96402
65137 86792
80965 94708
19479 48078
...

correct output
1 2 1 1 2 1 2 2 2 1 2 1 1 2 1 ...

user output
IMPOSSIBLE

Test 9

Verdict:

input
100000 200000
72952 83723
66197 70052
2949 52160
55753 95651
...

correct output
1 1 2 2 2 1 1 2 2 2 2 2 1 2 1 ...

user output
IMPOSSIBLE

Test 10

Verdict: ACCEPTED

input
100000 200000
38942 96755
70049 82663
7746 72732
87819 99029
...

correct output
IMPOSSIBLE

user output
IMPOSSIBLE

Test 11

Verdict: ACCEPTED

input
5 4
1 2
3 4
4 5
5 3

correct output
IMPOSSIBLE

user output
IMPOSSIBLE

Test 12

Verdict: ACCEPTED

input
4 5
1 2
1 4
2 3
2 4
...

correct output
IMPOSSIBLE

user output
IMPOSSIBLE