Submission details
Task:Building Teams
Sender:aalto26bm_023
Submission time:2026-09-07 17:49:56 +0300
Language:Python3 (CPython3)
Status:READY
Result:
Test results
testverdicttime
#1ACCEPTED0.02 sdetails
#2ACCEPTED0.02 sdetails
#3ACCEPTED0.02 sdetails
#4ACCEPTED0.02 sdetails
#5ACCEPTED0.02 sdetails
#60.89 sdetails
#70.89 sdetails
#80.89 sdetails
#90.88 sdetails
#10ACCEPTED0.88 sdetails
#11ACCEPTED0.02 sdetails
#12ACCEPTED0.02 sdetails

Code

n, m = input().split()
m, n = int(m), int(n)
d = {}
for i in range(m):
    a, b = input().split()
    a, b = int(a)-1, int(b)-1
    if a not in d:
        d[a]=[b]
    else : 
        d[a].append(b)
    if b not in d:
        d[b]=[a]
    else : 
        d[b].append(a)

# visited = [False]*n
colours = [0]*n

# colour = 1 or 2, or 0 if not visited
def dfs(start, colour):
    if colours[start]==colour:
        return 0 # Ok with colour
    if colours[start]== 3-colour:
        return -1
    colours[start]=colour
    # visited[start]=True
    for node in d[start]:
        if dfs(node, 3-colour) == -1:
            return -1

for node in range(n):
    # print(node)
    if colours[node]==0:
        if dfs(node, 1)==-1:
            print("IMPOSSIBLE")
            exit()
for c in colours:
    print(c, end=' ')
print()

Test details

Test 1

Verdict: ACCEPTED

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
1 1 1 2 2 1 2 2 2 1 

Test 2

Verdict: ACCEPTED

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
1 1 2 2 1 1 1 2 1 1 

Test 3

Verdict: ACCEPTED

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
1 2 2 1 1 1 2 1 2 1 

Test 4

Verdict: ACCEPTED

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
1 2 1 1 2 2 2 1 2 1 

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
(empty)

Error:
Traceback (most recent call last):
  File "/box/input/code.py", line 34, in <module>
    if dfs(node, 1)==-1:
       ^^^^^^^^^^^^
  File "/box/input/code.py", line 28, in dfs
    if dfs(node, 3-colour) == -1:
       ^^^^^^^^^^^^^^^^^^^
  File "/box/input/code.py", line 28, in dfs
    if dfs(node, 3-colour) == -1:
       ^^^^^^^^^^^^^^^^^^^
  File "/box/input/code.py", line 28, in dfs
    if dfs(node, 3-colour) == -1:
       ^^^^^^^^^^^^^^^^^^^
  [Previous line repeated 996 more times]
RecursionError: maximum recursion depth exceeded

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:
Traceback (most recent call last):
  File "/box/input/code.py", line 34, in <module>
    if dfs(node, 1)==-1:
       ^^^^^^^^^^^^
  File "/box/input/code.py", line 28, in dfs
    if dfs(node, 3-colour) == -1:
       ^^^^^^^^^^^^^^^^^^^
  File "/box/input/code.py", line 28, in dfs
    if dfs(node, 3-colour) == -1:
       ^^^^^^^^^^^^^^^^^^^
  File "/box/input/code.py", line 28, in dfs
    if dfs(node, 3-colour) == -1:
       ^^^^^^^^^^^^^^^^^^^
  [Previous line repeated 996 more times]
RecursionError: maximum recursion depth exceeded

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:
Traceback (most recent call last):
  File "/box/input/code.py", line 34, in <module>
    if dfs(node, 1)==-1:
       ^^^^^^^^^^^^
  File "/box/input/code.py", line 28, in dfs
    if dfs(node, 3-colour) == -1:
       ^^^^^^^^^^^^^^^^^^^
  File "/box/input/code.py", line 28, in dfs
    if dfs(node, 3-colour) == -1:
       ^^^^^^^^^^^^^^^^^^^
  File "/box/input/code.py", line 28, in dfs
    if dfs(node, 3-colour) == -1:
       ^^^^^^^^^^^^^^^^^^^
  [Previous line repeated 996 more times]
RecursionError: maximum recursion depth exceeded

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:
Traceback (most recent call last):
  File "/box/input/code.py", line 34, in <module>
    if dfs(node, 1)==-1:
       ^^^^^^^^^^^^
  File "/box/input/code.py", line 28, in dfs
    if dfs(node, 3-colour) == -1:
       ^^^^^^^^^^^^^^^^^^^
  File "/box/input/code.py", line 28, in dfs
    if dfs(node, 3-colour) == -1:
       ^^^^^^^^^^^^^^^^^^^
  File "/box/input/code.py", line 28, in dfs
    if dfs(node, 3-colour) == -1:
       ^^^^^^^^^^^^^^^^^^^
  [Previous line repeated 996 more times]
RecursionError: maximum recursion depth exceeded

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