Submission details
Task:Download Speed
Sender:yoshifumi_k
Submission time:2025-10-12 15:16:09 +0300
Language:Python3 (PyPy3)
Status:READY
Result:ACCEPTED
Test results
testverdicttime
#1ACCEPTED0.05 sdetails
#2ACCEPTED0.05 sdetails
#3ACCEPTED0.05 sdetails
#4ACCEPTED0.05 sdetails
#5ACCEPTED0.07 sdetails
#6ACCEPTED0.10 sdetails
#7ACCEPTED0.14 sdetails
#8ACCEPTED0.05 sdetails
#9ACCEPTED0.05 sdetails
#10ACCEPTED0.05 sdetails
#11ACCEPTED0.07 sdetails
#12ACCEPTED0.05 sdetails

Code

from collections import defaultdict

def Download_Speed():
    n, m = map(int, input().split())

    graph = defaultdict(lambda: defaultdict(int))

    for _ in range(m):
        a, b, c = map(int, input().split())
        graph[a][b] += c

    def find_path(source, sink, visited, min_cap):
        if source == sink:
            return min_cap
        
        visited.add(source)
                
        for neighbor, capacity in list(graph[source].items()):
            if neighbor not in visited and capacity > 0:
                flow = find_path(neighbor, sink, visited, min(min_cap, capacity))
                
                if flow > 0:
                    graph[source][neighbor] -= flow
                    graph[neighbor][source] += flow
                    return flow
        
        return 0
    
    max_flow = 0
    while True:
        flow = find_path(1, n, set(), float('inf'))
        if flow == 0:
            break
        max_flow += flow
    
    print(max_flow)  
    

if __name__ == "__main__":
    Download_Speed()

Test details

Test 1

Verdict: ACCEPTED

input
4 3
1 2 5
2 3 3
3 4 6

correct output
3

user output
3

Test 2

Verdict: ACCEPTED

input
4 5
1 2 1
1 3 1
2 3 1
2 4 1
...

correct output
2

user output
2

Test 3

Verdict: ACCEPTED

input
4 5
1 2 1000000000
1 3 1000000000
2 3 1
2 4 1000000000
...

correct output
2000000000

user output
2000000000

Test 4

Verdict: ACCEPTED

input
2 1
2 1 100

correct output
0

user output
0

Test 5

Verdict: ACCEPTED

input
2 1000
1 2 1000000000
1 2 1000000000
1 2 1000000000
1 2 1000000000
...

correct output
1000000000000

user output
1000000000000

Test 6

Verdict: ACCEPTED

input
500 998
1 2 54
1 3 59
1 4 83
2 5 79
...

correct output
60

user output
60

Test 7

Verdict: ACCEPTED

input
500 998
1 2 530873053
1 3 156306296
1 4 478040476
3 5 303609600
...

correct output
1093765123

user output
1093765123

Test 8

Verdict: ACCEPTED

input
2 1
1 2 1

correct output
1

user output
1

Test 9

Verdict: ACCEPTED

input
4 5
1 2 3
2 4 2
1 3 4
3 4 5
...

correct output
6

user output
6

Test 10

Verdict: ACCEPTED

input
4 5
1 2 1
1 3 2
3 2 1
2 4 2
...

correct output
3

user output
3

Test 11

Verdict: ACCEPTED

input
10 999
1 2 1000000000
1 2 1000000000
1 2 1000000000
1 2 1000000000
...

correct output
111000000000

user output
111000000000

Test 12

Verdict: ACCEPTED

input
7 9
1 2 1
1 3 1
1 4 1
2 5 1
...

correct output
2

user output
2