CSES - Aalto Competitive Programming 2024 - wk2 - Homework - Results
Submission details
Task:Connect cities
Sender:TrixterTheTux
Submission time:2024-09-10 14:41:07 +0300
Language:CPython3
Status:READY
Result:
Test results
testverdicttime
#10.02 sdetails
#20.02 sdetails
#30.02 sdetails
#4ACCEPTED0.02 sdetails
#50.02 sdetails
#60.85 sdetails
#70.85 sdetails
#80.85 sdetails
#90.85 sdetails
#100.86 sdetails
#110.26 sdetails
#120.02 sdetails

Code

class UnionFind:
    def __init__(self, n):
        self.parent = list(range(n))
        self.size = [0] * n

    def find(self, x):
        while x != self.parent[x]:
            x = self.parent[x]

        return x
    
    def unite(self, a, b):
        a = self.find(a)
        b = self.find(b)
        if a == b:
            return

        if self.size[a] > self.size[b]:
            self.parent[b] = a
        elif self.size[b] > self.size[a]:
            self.parent[a] = b
        else:
            self.parent[b] = a
            self.size[a] += 1

n, m = map(int, input().split())
roads = [tuple(map(int, input().split())) for _ in range(m)]

uf = UnionFind(n)

for road_a, road_b in roads:
    uf.unite(road_a - 1, road_b - 1)

cities_in_chunk = {}
for city in range(n):
    chunk = uf.find(city)

    if chunk not in cities_in_chunk:
        cities_in_chunk[chunk] = []
    cities_in_chunk[chunk].append(city)

chunks = list(cities_in_chunk.keys())
for i in range(1, len(chunks)):
    print(cities_in_chunk[chunks[i - 1]][0] + 1, cities_in_chunk[chunks[i]][0] + 1)

Test details

Test 1

Verdict:

input
10 10
2 5
5 6
1 4
6 8
...

correct output
2
1 2
2 7

user output
1 2
2 7

Test 2

Verdict:

input
10 10
3 9
6 8
9 10
7 8
...

correct output
2
1 4
4 5

user output
1 4
4 5

Test 3

Verdict:

input
10 10
7 9
1 7
1 3
3 4
...

correct output
0

user output
(empty)

Test 4

Verdict: ACCEPTED

input
10 10
4 8
5 9
4 9
2 7
...

correct output
1
1 3

user output
1 3

Test 5

Verdict:

input
10 10
4 9
2 4
7 10
1 8
...

correct output
0

user output
(empty)

Test 6

Verdict:

input
100000 200000
7233 22146
94937 96203
6133 10731
98737 99193
...

correct output
4785
1 2
2 3
3 4
4 5
...

user output
1 2
2 3
3 4
4 5
5 11
...

Test 7

Verdict:

input
100000 200000
92950 93575
24401 88897
41796 99364
47106 50330
...

correct output
4868
1 2
2 7
7 9
9 15
...

user output
1 2
2 7
7 9
9 15
15 16
...

Test 8

Verdict:

input
100000 200000
15637 76736
79169 98809
4382 86557
73383 77029
...

correct output
4683
1 9
9 20
20 27
27 28
...

user output
1 9
9 20
20 27
27 28
28 33
...

Test 9

Verdict:

input
100000 200000
47932 66981
86401 99942
4353 27841
60492 67345
...

correct output
4807
1 6
6 7
7 11
11 12
...

user output
1 6
6 7
7 11
11 12
12 30
...

Test 10

Verdict:

input
100000 200000
6554 44548
76413 98555
5447 59589
70166 74434
...

correct output
4786
1 2
2 18
18 21
21 27
...

user output
1 2
2 18
18 21
21 27
27 28
...

Test 11

Verdict:

input
100000 1
1 2

correct output
99998
1 3
3 4
4 5
5 6
...

user output
1 3
3 4
4 5
5 6
6 7
...

Test 12

Verdict:

input
10 9
2 5
5 6
1 4
6 8
...

correct output
2
1 2
2 7

user output
1 2
2 7