Submission details
Task:Building Teams
Sender:aalto26bm_021
Submission time:2026-09-07 17:12:37 +0300
Language:Python3 (PyPy3)
Status:READY
Result:
Test results
testverdicttime
#10.04 sdetails
#20.04 sdetails
#30.04 sdetails
#40.04 sdetails
#50.04 sdetails
#60.00 sdetails
#70.00 sdetails
#80.00 sdetails
#90.00 sdetails
#100.00 sdetails
#110.09 sdetails
#120.09 sdetails

Code

n,m = [int(x) for x in input().split()]
mapping = list(range(0,n+1)) #zero ignored
IMPOSSIBLE = False
def sign(a:int): 
    return a//abs(a)
def moreToPopagate(a:int):
    global mapping
    global IMPOSSIBLE
    v = mapping[abs(a)]
    if -v == abs(a):
        IMPOSSIBLE = True
        return False
    return mapping[abs(a)] != mapping[abs(v)]*sign(v)
def propagate(a: int):
    global mapping
    global IMPOSSIBLE
    v = mapping[abs(a)]
    if -v == abs(a):
        IMPOSSIBLE = True
        print(1)
        return
    mapping[abs(a)] = mapping[abs(v)]*sign(v)
    if moreToPopagate(a):
        propagate(a)

def isLowest(a: int):
    return abs(mapping[abs(a)]) == abs(a)
def doMapping(a: int, b:int):
    global mapping
    global IMPOSSIBLE
    if IMPOSSIBLE: return
    if (-a==b): IMPOSSIBLE = True
    if (abs(a) > abs(b)): return doMapping(b,a)
    if (b != abs(b)): return doMapping(-a,-b)
    propagate(a)
    propagate(b)
    if (not isLowest(a) or not isLowest(b)): return doMapping(sign(a)*mapping[abs(a)],sign(b)*mapping[abs(b)])
    assert(mapping[abs(a)])
    mapping[b] = -a
    print(mapping)

i = m
while i != 0: 
    a,b = input().split()
    doMapping(int(a),int(b))
    i -= 1

for i in range(1,n+1):
    while moreToPopagate(i): 
        propagate(i)
        
if IMPOSSIBLE:
    print("IMPOSSIBLE")
else:
    toPrint = []
    for i in range(1,n+1):
        if mapping[i] > 0: 
            toPrint.append(1)
        else:
            toPrint.append(2)
    print(toPrint)

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
[0, 1, 2, 3, -3, 5, 6, 7, 8, 9...

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
[0, 1, 2, -1, 4, 5, 6, 7, 8, 9...

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
[0, 1, 2, 3, 4, 5, 6, 7, 8, 9,...

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
[0, 1, 2, 3, -2, 5, 6, 7, 8, 9...

Test 5

Verdict:

input
10 20
3 5
8 10
9 10
1 8
...

correct output
IMPOSSIBLE

user output
[0, 1, 2, 3, 4, -3, 6, 7, 8, 9...

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)

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)

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)

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)

Test 10

Verdict:

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

correct output
IMPOSSIBLE

user output
(empty)

Test 11

Verdict:

input
5 4
1 2
3 4
4 5
5 3

correct output
IMPOSSIBLE

user output
[0, 1, -1, 3, 4, 5]
[0, 1, -1, 3, -3, 5]
[0, 1, -1, 3, -3, 3]
[0, 1, -1, -3, -3, 3]

Error:
Traceback (most recent call last):
  File "/box/input/code.py", line 50, in <module>
    propagate(i)
  File "/box/input/code.py", line 24, in propagate
    propagate(a)
  File "/box/input/code.py", line 24, in propagate
    propagate(a)
  File "/box/input/code.py", line 24, in propagate
    propagate(a)
  [Previous line repeated 1684 more times]
  File "/box/input/code.py", line 23, in propagate
    if moreToPopagate(a):
  File "/box/input/code.py", line 13, in moreToPopagate
    return mapping[abs(a)] != mapping[abs(v)]*sign(v)
  File "/box/input/code.py", line 4, in sign
    def sign(a:int):
RecursionError: maximum recursion depth exceeded

Test 12

Verdict:

input
4 5
1 2
1 4
2 3
2 4
...

correct output
IMPOSSIBLE

user output
[0, 1, -1, 3, 4]
[0, 1, -1, 3, -1]
[0, 1, -1, 1, -1]
[0, -1, -1, 1, -1]

Error:
Traceback (most recent call last):
  File "/box/input/code.py", line 45, in <module>
    doMapping(int(a),int(b))
  File "/box/input/code.py", line 35, in doMapping
    propagate(a)
  File "/box/input/code.py", line 24, in propagate
    propagate(a)
  File "/box/input/code.py", line 24, in propagate
    propagate(a)
  File "/box/input/code.py", line 24, in propagate
    propagate(a)
  [Previous line repeated 1683 more times]
  File "/box/input/code.py", line 23, in propagate
    if moreToPopagate(a):
  File "/box/input/code.py", line 13, in moreToPopagate
    return mapping[abs(a)] != mapping[abs(v)]*sign(v)
  File "/box/input/code.py", line 4, in sign
    def sign(a:int):
RecursionError: maximum recursion depth exceeded