| Task: | Download Speed |
| Sender: | ariadna.roga |
| Submission time: | 2025-10-13 16:08:43 +0300 |
| Language: | C++ (C++17) |
| Status: | READY |
| Result: | ACCEPTED |
| test | verdict | time | |
|---|---|---|---|
| #1 | ACCEPTED | 0.00 s | details |
| #2 | ACCEPTED | 0.00 s | details |
| #3 | ACCEPTED | 0.00 s | details |
| #4 | ACCEPTED | 0.00 s | details |
| #5 | ACCEPTED | 0.00 s | details |
| #6 | ACCEPTED | 0.01 s | details |
| #7 | ACCEPTED | 0.01 s | details |
| #8 | ACCEPTED | 0.00 s | details |
| #9 | ACCEPTED | 0.00 s | details |
| #10 | ACCEPTED | 0.00 s | details |
| #11 | ACCEPTED | 0.01 s | details |
| #12 | ACCEPTED | 0.00 s | details |
Compiler report
input/code.cpp: In function 'bool there_is_bfs(std::vector<std::vector<long long int> >&, long long int, long long int, std::vector<long long int>&)':
input/code.cpp:25:33: warning: comparison of integer expressions of different signedness: 'long long int' and 'std::vector<std::vector<long long int> >::size_type' {aka 'long unsigned int'} [-Wsign-compare]
25 | for (long long i = 0; i < adj.size(); ++i)
| ~~^~~~~~~~~~~~Code
#include <iostream>
#include <vector>
#include <queue>
#include <climits>
using namespace std;
bool there_is_bfs(vector<vector<long long>> &adj, long long s, long long t, vector<long long> &parent)
{
// No node has been visited yet
vector<bool> visited(adj.size(), false);
// Queue for BFS
queue<long long> q;
q.push(s);
visited[s] = true;
parent[s] = -1;
// BFS
while (!q.empty()) {
long long u = q.front();
q.pop();
for (long long i = 0; i < adj.size(); ++i)
{
if (!visited[i] and adj[u][i] > 0) {
if (i == t) {
parent[i] = u;
return true;
}
q.push(i);
parent[i] = u;
visited[i] = true;
}
}
}
// There is no path
return false;
}
long long ford_fulkerson(vector<vector<long long>> &graph, long long start, long long end)
{
vector<long long> parent(graph.size());
long long max_flow = 0;
// While there is a path with positive capacities from start to end
while (there_is_bfs(graph, start, end, parent)) {
// Calculate path flow for the found path with bfs
long long path_flow = LLONG_MAX;
for (long long i = end; i != start; i = parent[i]) {
long long v = parent[i];
path_flow = min(path_flow, graph[v][i]);
}
// Update max flow
max_flow += path_flow;
// Update residual capacities
for (long long i = end; i != start; i = parent[i]) {
long long v = parent[i];
graph[v][i] -= path_flow;
graph[i][v] += path_flow;
}
}
return max_flow;
}
int main() {
long long n, m;
cin >> n >> m;
// Build graph with capacities
vector<vector<long long>> capacity(n+1, vector<long long>(n+1, 0));
for (long long i = 0; i < m; ++i) {
long long a, b, c;
cin >> a >> b >> c;
capacity[a][b] += c;
}
// Calculate max flow
cout << ford_fulkerson(capacity, 1, n) << endl;
}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 |
