Submission details
Task:Astralis session I
Sender:aalto26bw_004
Submission time:2026-09-09 19:36:50 +0300
Language:Python3 (PyPy3)
Status:READY
Result:
Test results
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Code

from collections import deque

n = int(input())
adj = [[] for _ in range(n + 1)]
result = [0] * (n + 1)
for _ in range(n - 1):
    a, b = map(int, input().split())
    adj[a].append(b)
    adj[b].append(a)

visited = set()
q = deque()
dead_1 = 0
dead_2 = 0


def bfs() -> int:
    size = 0
    while q:
        node = q.popleft()
        if node in visited:
            continue
        size += 1
        visited.add(node)
        result[node] = 1
        for s in adj[node]:
            if s in visited:
                continue
            if dead_1 == s and dead_2 == node:
                continue
            if dead_2 == s and dead_1 == node:
                continue
            q.append(s)
    return size


found = False
for i in range(1, n + 1):
    for edge in adj[i]:
        result = [0] * (n + 1)
        dead_1 = i
        dead_2 = edge
        q.append(i)
        visited = set()
        size = bfs()
        found = size == n // 2
        if found:
            break
    if found:
        break


if found:
    print("Yes")
    print("".join("U" if result[x] == 1 else "M" for x in range(1, n + 1)))
else:
    print("No")

Test details

Test 1

Verdict: ACCEPTED

input
2
1 2

correct output
Yes
MU

user output
Yes
UM

Test 2

Verdict: ACCEPTED

input
6
1 3
2 3
2 6
4 6
...

correct output
No

user output
No

Test 3

Verdict: ACCEPTED

input
6
1 2
2 3
3 6
2 4
...

correct output
No

user output
No

Test 4

Verdict: ACCEPTED

input
6
1 6
1 4
2 4
2 3
...

correct output
No

user output
No

Test 5

Verdict: ACCEPTED

input
6
2 4
1 4
2 6
1 3
...

correct output
Yes
MUMUMU

user output
Yes
UMUMUM

Test 6

Verdict: ACCEPTED

input
8
1 8
5 8
3 5
3 6
...

correct output
Yes
MUMUMUUM

user output
Yes
UMUMUMMU

Test 7

Verdict: ACCEPTED

input
8
1 4
1 6
3 6
1 5
...

correct output
Yes
MUUMMUMU

user output
Yes
UMMUUMUM

Test 8

Verdict: ACCEPTED

input
8
1 7
1 3
1 8
2 8
...

correct output
No

user output
No

Test 9

Verdict: ACCEPTED

input
8
2 3
3 8
7 8
5 8
...

correct output
Yes
MMUMUMUU

user output
Yes
UUMUMUMM

Test 10

Verdict: ACCEPTED

input
10
4 8
4 7
1 7
3 4
...

correct output
Yes
MUMMMUMUUU

user output
Yes
UMUUUMUMMM

Test 11

Verdict: ACCEPTED

input
10
3 4
4 5
4 8
4 10
...

correct output
No

user output
No

Test 12

Verdict: ACCEPTED

input
10
1 3
2 3
2 6
6 10
...

correct output
Yes
MMMUUMUMUU

user output
Yes
UUUMMUMUMM

Test 13

Verdict: ACCEPTED

input
10
1 10
1 3
6 10
8 10
...

correct output
No

user output
No

Test 14

Verdict: ACCEPTED

input
10
1 6
1 4
2 4
2 9
...

correct output
No

user output
No

Test 15

Verdict: ACCEPTED

input
12
4 10
4 11
9 11
6 11
...

correct output
Yes
UUUMUMMUMUMM

user output
Yes
MMMUMUUMUMUU

Test 16

Verdict: ACCEPTED

input
12
1 2
1 8
5 8
3 8
...

correct output
Yes
MUMMMUUMUUUM

user output
Yes
UMUUUMMUMMMU

Test 17

Verdict: ACCEPTED

input
14
9 12
6 9
3 6
3 11
...

correct output
No

user output
No

Test 18

Verdict: ACCEPTED

input
14
13 14
7 13
3 7
7 10
...

correct output
Yes
UMMMMUMUUMUUMU

user output
Yes
MUUUUMUMMUMMUM

Test 19

Verdict: ACCEPTED

input
14
1 3
3 8
3 7
8 9
...

correct output
Yes
MUUUMMUUUMMMMU

user output
Yes
UMMMUUMMMUUUUM

Test 20

Verdict: ACCEPTED

input
16
4 12
1 4
12 16
11 12
...

correct output
No

user output
No

Test 21

Verdict: ACCEPTED

input
18
12 13
13 17
8 13
12 15
...

correct output
No

user output
No

Test 22

Verdict: ACCEPTED

input
100
24 28
28 65
28 58
54 65
...

correct output
Yes
MMUUMUMMUMUMUUMUUMMUUUMMMUUUUM...

user output
Yes
UUMMUMUUMUMUMMUMMUUMMMUUUMMMMU...

Test 23

Verdict: ACCEPTED

input
100
57 98
24 57
24 34
25 34
...

correct output
Yes
MUUMUMUUUMMUMMUMUMMMMMUUUMUUMM...

user output
Yes
UMMUMUMMMUUMUUMUMUUUUUMMMUMMUU...

Test 24

Verdict: ACCEPTED

input
100
6 41
6 20
6 18
6 88
...

correct output
Yes
MMMMUMMMUMUUMMUUUMMMUUUUUMUUUU...

user output
Yes
UUUUMUUUMUMMUUMMMUUUMMMMMUMMMM...

Test 25

Verdict: ACCEPTED

input
100
24 100
92 100
62 100
88 100
...

correct output
Yes
MUUMMUUMMUMUMUMUUUUUUMMMUMUMUM...

user output
Yes
UMMUUMMUUMUMUMUMMMMMMUUUMUMUMU...

Test 26

Verdict: ACCEPTED

input
100
65 83
68 83
65 87
21 65
...

correct output
No

user output
No

Test 27

Verdict: ACCEPTED

input
100
12 87
12 56
41 56
11 41
...

correct output
No

user output
No

Test 28

Verdict: ACCEPTED

input
100
13 29
13 38
13 34
10 13
...

correct output
Yes
MMMMUUMUMMUUMMUUMMMUMMUUMMUUUU...

user output
Yes
UUUUMMUMUUMMUUMMUUUMUUMMUUMMMM...

Test 29

Verdict: ACCEPTED

input
100
77 94
52 77
53 77
53 56
...

correct output
No

user output
No

Test 30

Verdict: ACCEPTED

input
100
56 59
56 76
17 76
17 75
...

correct output
No

user output
No

Test 31

Verdict: ACCEPTED

input
100
19 70
70 86
27 86
27 31
...

correct output
Yes
MMMMUMMUMMUUMMUMUUUMMMUMUMUUMU...

user output
Yes
UUUUMUUMUUMMUUMUMMMUUUMUMUMMUM...

Test 32

Verdict: ACCEPTED

input
200
28 148
28 122
28 137
122 178
...

correct output
Yes
UUMUMMMUUMMUMMMUMMUUMUMUMUMMMU...

user output
Yes
MMUMUUUMMUUMUUUMUUMMUMUMUMUUUM...

Test 33

Verdict: ACCEPTED

input
200
57 98
57 153
34 153
98 109
...

correct output
No

user output
No

Test 34

Verdict: ACCEPTED

input
200
6 177
6 20
6 158
88 158
...

correct output
Yes
MUUMUMMMUMUUMUUUUUUMUMMMMUUMMU...

user output
Yes
UMMUMUUUMUMMUMMMMMMUMUUUUMMUUM...

Test 35

Verdict: ACCEPTED

input
200
142 178
119 142
142 155
119 140
...

correct output
No

user output
No

Test 36

Verdict: ACCEPTED

input
200
83 150
68 83
68 158
135 158
...

correct output
Yes
MMMUUUUUUMUUUMUMUUMMMUMUUUMMUM...

user output
Yes
UUUMMMMMMUMMMUMUMMUUUMUMMMUUMU...

Test 37

Verdict: ACCEPTED

input
200
20 177
87 177
121 177
137 177
...

correct output
Yes
MMUMUMMMUUUMUMUMMMUMUMUUUUUUMM...

user output
Yes
UUMUMUUUMMMUMUMUUUMUMUMMMMMMUU...

Test 38

Verdict: ACCEPTED

input
200
13 139
13 38
13 34
10 38
...

correct output
Yes
MUMMUUMUUMUUMMUMMMMUMMUMUUUMMU...

user output
Yes
UMUUMMUMMUMMUUMUUUUMUUMUMMMUUM...

Test 39

Verdict: ACCEPTED

input
200
84 198
77 198
52 198
53 77
...

correct output
Yes
MMMUMUMMMUUUUMUUUMMMMMUMUMUUUU...

user output
Yes
UUUMUMUUUMMMMUMMMUUUUUMUMUMMMM...

Test 40

Verdict: ACCEPTED

input
200
56 112
76 112
56 182
56 114
...

correct output
No

user output
No

Test 41

Verdict: ACCEPTED

input
200
19 114
19 70
70 86
19 27
...

correct output
Yes
MMMUMUUUUUMUMMMMMMMUUMMUMMMMUM...

user output
Yes
UUUMUMMMMMUMUUUUUUUMMUUMUUUUMU...

Test 42

Verdict: ACCEPTED

input
1000
811 883
397 883
137 397
546 883
...

correct output
Yes
MMMMMUUMUMUUUUUUMUMUMMMMUMMUMM...

user output
Yes
UUUUUMMUMUMMMMMMUMUMUUUUMUUMUU...

Test 43

Verdict: ACCEPTED

input
1000
393 736
393 398
398 407
351 393
...

correct output
No

user output
No

Test 44

Verdict: ACCEPTED

input
1000
507 955
340 955
507 813
418 955
...

correct output
No

user output
No

Test 45

Verdict: ACCEPTED

input
1000
230 974
230 440
440 752
752 977
...

correct output
No

user output
No

Test 46

Verdict: ACCEPTED

input
1000
406 944
778 944
68 944
545 778
...

correct output
Yes
UMUMMUMUUMUUMUUMUMMUUMUUMUUUUM...

user output
Yes
MUMUUMUMMUMMUMMUMUUMMUMMUMMMMU...

Test 47

Verdict: ACCEPTED

input
1000
771 921
368 921
121 921
121 810
...

correct output
Yes
UMMUUUUUMUMMUMUMUUUUMMMMUMUUMM...

user output
Yes
MUUMMMMMUMUUMUMUMMMMUUUUMUMMUU...

Test 48

Verdict: ACCEPTED

input
1000
290 518
518 738
518 554
290 997
...

correct output
No

user output
No

Test 49

Verdict: ACCEPTED

input
1000
370 791
390 791
390 835
585 835
...

correct output
Yes
MMUUUUUMMMUMMUMMMMMMUUMMUMMMMU...

user output
Yes
UUMMMMMUUUMUUMUUUUUUMMUUMUUUUM...

Test 50

Verdict: ACCEPTED

input
1000
111 804
778 804
520 804
520 829
...

correct output
Yes
MMMUMUUUUUMMMUMMMMMUUMMUMMUUUU...

user output
Yes
UUUMUMMMMMUUUMUUUUUMMUUMUUMMMM...

Test 51

Verdict: ACCEPTED

input
1000
627 823
399 627
27 399
27 945
...

correct output
Yes
MMUMMMMUUMMUUMUUUUUMUMMUMMMMMU...

user output
Yes
UUMUUUUMMUUMMUMMMMMUMUUMUUUUUM...

Test 52

Verdict:

input
100000
26991 68205
21905 68205
3029 26991
21905 29288
...

correct output
No

user output
(empty)

Test 53

Verdict:

input
100000
41845 94618
94618 96640
65841 94618
9894 96640
...

correct output
Yes
UMUUUMMUUUMMUMMUMUMMMUMMMUMUMU...

user output
(empty)

Test 54

Verdict:

input
100000
11081 29940
11081 90273
11081 56653
56653 73314
...

correct output
Yes
UMMUUMMMUUMMMMMUUMMUUUMUMMMUUU...

user output
(empty)

Test 55

Verdict:

input
100000
27549 31873
27549 48777
48777 71940
48777 59266
...

correct output
Yes
MMMMUUMUUMUMUMMUUUMMUMMMUMUUUM...

user output
(empty)

Test 56

Verdict:

input
100000
2460 57807
2460 59927
56550 59927
35046 56550
...

correct output
Yes
MMMUUMMUMMUUUMMUMUMMMUMUUMUMUM...

user output
(empty)

Test 57

Verdict:

input
100000
13089 77222
77222 89616
36711 89616
27645 77222
...

correct output
Yes
UMUUUMMMUUUUMMUMMMUUMMUUMUMUMU...

user output
(empty)

Test 58

Verdict:

input
100000
35805 70440
70440 82302
64483 82302
64483 96767
...

correct output
Yes
MMMUUMMMUUUMMMUUMUUMUMMUUUMUUM...

user output
(empty)

Test 59

Verdict:

input
100000
16206 68738
37820 68738
55519 68738
55519 77758
...

correct output
Yes
MMUUUMUUMUUMUUMUMMMMMUMUUUUUUU...

user output
(empty)

Test 60

Verdict:

input
100000
47137 86808
47137 80136
47137 73346
73346 78144
...

correct output
Yes
UUMUMMUUUUMMMMMMMMUUMMMMMMUUMU...

user output
(empty)

Test 61

Verdict:

input
100000
39438 53660
53660 60245
20924 60245
20924 38669
...

correct output
No

user output
(empty)