Submission details
Task:Download Speed
Sender:aalto26gm_039
Submission time:2026-10-19 23:39:14 +0300
Language:C++ (C++23)
Status:READY
Result:ACCEPTED
Test results
testverdicttime
#1ACCEPTED0.00 sdetails
#2ACCEPTED0.00 sdetails
#3ACCEPTED0.00 sdetails
#4ACCEPTED0.00 sdetails
#5ACCEPTED0.01 sdetails
#6ACCEPTED0.01 sdetails
#7ACCEPTED0.01 sdetails
#8ACCEPTED0.00 sdetails
#9ACCEPTED0.00 sdetails
#10ACCEPTED0.00 sdetails
#11ACCEPTED0.01 sdetails
#12ACCEPTED0.00 sdetails

Code

#include <iostream>
#include <vector>
#include <algorithm>


int main(int argc, char **argv) {
    int n, m;
    std::cin >> n >> m;

    std::vector<std::vector<long long>> cap(n+1, std::vector<long long>(n+1, 0));

    for (int i=0; i<m; i++) {
        int a, b;
        long long c;
        std::cin >> a >> b >> c;
        cap[a][b] += c;
    }

    long long internet = 0;

    while (n > 0) {
        std::vector<int> parent(n+1, 0);
        std::vector<int> queue = {1};
        parent[1] = 1;

        for (int i=0; i<(int)queue.size(); i++) {
            int a = queue[i];
            for (int b=1; b<=n; b++) {
                if (parent[b] == 0 && cap[a][b] > 0) {
                    parent[b] = a;
                    queue.push_back(b);
                }
            }
        }

        if (parent[n] == 0) {
            break;
        }

        long long x = cap[parent[n]][n];
        for (int b=n; b!=1; b=parent[b]) {
            x = std::min(x, cap[parent[b]][b]);
        }

        for (int b=n; b!=1; b=parent[b]) {
            cap[parent[b]][b] -= x;
            cap[b][parent[b]] += x;
        }

        internet += x;
    }

    std::cout << internet << std::endl;

    return 0;
}

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