Submission details
Task:Building Teams
Sender:anycoa
Submission time:2025-09-08 17:42:27 +0300
Language:Python3 (PyPy3)
Status:READY
Result:
Test results
testverdicttime
#10.06 sdetails
#20.06 sdetails
#30.07 sdetails
#40.06 sdetails
#50.06 sdetails
#60.06 sdetails
#70.07 sdetails
#80.06 sdetails
#90.06 sdetails
#100.06 sdetails
#110.07 sdetails
#120.06 sdetails

Code

from numpy.ma.core import true_divide

#input(n,m)
#input m lines of (a,b) friendship

#run through function (a,b)
#if a has been in lines with other bs
#    then go through bs, neighbors
#marked visited(a,b)
#put a in team 1, and put b in team 2 or 3
#if a not in friendship with, then put in same team.
#    circulate this algorithm until you have an idea of the team
#get the team number out
#otherwise print*impossible'



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

graph={i, []for i in range(1,n+1)}
for _ in range(m):
    a,b=map(int, input().split())
    graph[a].append(b)
    graph[b].append(a)

visited=set()
team={}

def dfs(node, current_team):
    visited.add(node)
    team[node]=current_team

    for neighbor in graph[node]:
        if neighbor not in visited:
            if not dfs(neighbor, 3-current_team):
                return False
        else:
            if team[neighbor]==current_team:
                return False
    return True


possible = all(node in team or dfs(node, 1) for node in range(1, n+1))

print("impossible" if not possible else ' '.join(str(team[i]) for i in range(1, n+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
(empty)

Error:
File "input/code.py", line 20
    graph={i, []for i in range(1,n+1)}
                ^
S...

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
(empty)

Error:
File "input/code.py", line 20
    graph={i, []for i in range(1,n+1)}
                ^
S...

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
(empty)

Error:
File "input/code.py", line 20
    graph={i, []for i in range(1,n+1)}
                ^
S...

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
(empty)

Error:
File "input/code.py", line 20
    graph={i, []for i in range(1,n+1)}
                ^
S...

Test 5

Verdict:

input
10 20
3 5
8 10
9 10
1 8
...

correct output
IMPOSSIBLE

user output
(empty)

Error:
File "input/code.py", line 20
    graph={i, []for i in range(1,n+1)}
                ^
S...

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
(empty)

Error:
File "input/code.py", line 20
    graph={i, []for i in range(1,n+1)}
                ^
S...

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
(empty)

Error:
File "input/code.py", line 20
    graph={i, []for i in range(1,n+1)}
                ^
S...

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
(empty)

Error:
File "input/code.py", line 20
    graph={i, []for i in range(1,n+1)}
                ^
S...

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
(empty)

Error:
File "input/code.py", line 20
    graph={i, []for i in range(1,n+1)}
                ^
S...

Test 10

Verdict:

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

correct output
IMPOSSIBLE

user output
(empty)

Error:
File "input/code.py", line 20
    graph={i, []for i in range(1,n+1)}
                ^
S...

Test 11

Verdict:

input
5 4
1 2
3 4
4 5
5 3

correct output
IMPOSSIBLE

user output
(empty)

Error:
File "input/code.py", line 20
    graph={i, []for i in range(1,n+1)}
                ^
S...

Test 12

Verdict:

input
4 5
1 2
1 4
2 3
2 4
...

correct output
IMPOSSIBLE

user output
(empty)

Error:
File "input/code.py", line 20
    graph={i, []for i in range(1,n+1)}
                ^
S...