| Task: | Download Speed |
| Sender: | yoshifumi_k |
| Submission time: | 2025-10-12 15:16:09 +0300 |
| Language: | Python3 (PyPy3) |
| Status: | READY |
| Result: | ACCEPTED |
| test | verdict | time | |
|---|---|---|---|
| #1 | ACCEPTED | 0.05 s | details |
| #2 | ACCEPTED | 0.05 s | details |
| #3 | ACCEPTED | 0.05 s | details |
| #4 | ACCEPTED | 0.05 s | details |
| #5 | ACCEPTED | 0.07 s | details |
| #6 | ACCEPTED | 0.10 s | details |
| #7 | ACCEPTED | 0.14 s | details |
| #8 | ACCEPTED | 0.05 s | details |
| #9 | ACCEPTED | 0.05 s | details |
| #10 | ACCEPTED | 0.05 s | details |
| #11 | ACCEPTED | 0.07 s | details |
| #12 | ACCEPTED | 0.05 s | details |
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 |
