CSES - Aalto Competitive Programming 2024 - wk6 - Wed - Results
Submission details
Task:Fragile network
Sender:aalto2024g_003
Submission time:2024-10-09 17:43:31 +0300
Language:C++ (C++20)
Status:READY
Result:
Test results
testverdicttime
#1ACCEPTED0.01 sdetails
#20.01 sdetails
#30.01 sdetails
#40.01 sdetails
#50.01 sdetails
#6ACCEPTED0.16 sdetails
#70.08 sdetails
#8--details
#90.08 sdetails
#100.08 sdetails
#110.01 sdetails
#120.01 sdetails
#130.01 sdetails
#140.05 sdetails
#150.01 sdetails
#160.01 sdetails
#170.01 sdetails
#180.01 sdetails
#190.01 sdetails
#200.01 sdetails
#210.01 sdetails

Code

#include <bits/stdc++.h>
using namespace std;
 
#define int long long
 
#define rep(i, a, b) for(int i = a; i < (b); ++i)
#define all(x) begin(x), end(x)
#define sz(x) (int)(x).size()
typedef long long ll;
typedef pair<int, int> pii;
typedef vector<int> vi;

string to_string(string s) {
    return '"' + s + '"';
}
 
string to_string(const char* s) {
    return to_string((string) s);
}
 
string to_string(bool b) {
    return (b ? "true" : "false");
}
 
template <typename A, typename B>
string to_string(pair<A, B> p) {
    return "(" + to_string(p.first) + ", " + to_string(p.second) + ")";
}
 
template <typename A>
string to_string(A v) {
    bool first = true;
    string res = "{";
    for (const auto &x : v) {
        if (!first) {
            res += ", ";
        }
        first = false;
        res += to_string(x);
    }
    res += "}";
    return res;
}
 
void debug_out() {
    cerr << endl;
}
 
template <typename Head, typename... Tail>
void debug_out(Head H, Tail... T) {
    cerr << " " << to_string(H);
    debug_out(T...);
}
 
#ifdef LOCAL
#define debug(...) cerr << "[" << #__VA_ARGS__ << "]:", debug_out(__VA_ARGS__)
#else
#define debug(...) 42
#endif

const int N = 1e5 + 5;
set<int> adj[N];
int n, nn;
set<int> alive;

void dfs(int u, int p) {
    if (sz(adj[u]) == 2 && p) {
        adj[p].erase(u);
        int v = *adj[u].begin();
        adj[v].erase(u);
        nn--;
        alive.erase(u);
        dfs(v, p);
    } else {
        for (int v : adj[u]) {
            if (v == p) continue;
            dfs(v, u);
        }
    }
}

signed main() {
    cin.tie(0)->sync_with_stdio(0);
    cin.exceptions(cin.failbit); // RTE if input wrong datatype

    cin >> n;
    nn = n;
    for (int i = 1; i <= n; i++) alive.insert(i);
    for (int i = 1; i < n; i++) {
        int u, v;
        cin >> u >> v;
        adj[u].insert(v);
        adj[v].insert(u);
    }
    
    dfs(1, 0);

    if (sz(adj[1]) == 2) {
        int u = *adj[1].begin();
        int v = *next(adj[1].begin());
        adj[u].erase(1);
        adj[v].erase(1);
        adj[u].insert(v);
        adj[v].insert(u);
        nn--;
        alive.erase(1);
    }

    if (nn == 2) {
        cout << 1 << '\n';
        int u = *alive.begin();
        int v = *next(alive.begin());
        cout << u << ' ' << v << '\n';
    } else {
        int root = -1;
        for (int u : alive) {
            if (sz(adj[u]) > 1) {
                root = u;
                break;
            }
        }

        vector<pii> ans;
        vector<int> c(adj[root].begin(), adj[root].end());
        for (int i = 0; i + 1 < sz(c); i += 2) {
            ans.push_back({c[i], c[i + 1]});
        }
        if (sz(c) & 1) {
            ans.push_back({c[sz(c) - 2], c[sz(c) - 1]});
        }

        cout << sz(ans) << '\n';
        for (auto [u, v] : ans) cout << u << ' ' << v << '\n';
    }
}

Test details

Test 1

Verdict: ACCEPTED

input
10
1 5
1 7
1 8
1 3
...

correct output
5
5 2
7 9
8 6
3 10
...

user output
5
2 3
4 5
6 7
8 9
...

Test 2

Verdict:

input
10
4 5
3 4
2 3
9 10
...

correct output
1
10 1

user output
(empty)

Test 3

Verdict:

input
10
1 8
1 3
3 5
5 7
...

correct output
3
7 10
8 2
1 9

user output
(empty)

Test 4

Verdict:

input
10
1 5
3 7
2 10
3 8
...

correct output
3
10 8
6 4
5 9

user output
(empty)

Test 5

Verdict:

input
10
4 8
3 4
4 6
2 3
...

correct output
3
8 7
10 9
1 6

user output
(empty)

Test 6

Verdict: ACCEPTED

input
100000
1 56967
1 56618
1 42321
1 82550
...

correct output
50000
56967 16911
56618 39942
42321 99902
82550 2538
...

user output
50000
2 3
4 5
6 7
8 9
...
Truncated

Test 7

Verdict:

input
100000
92297 92298
23511 23512
68057 68058
65434 65435
...

correct output
1
100000 1

user output
(empty)

Test 8

Verdict:

input
100000
17747 97512
10397 12053
679 6975
4013 14565
...

correct output
25057
92881 76094
20353 87429
16069 96487
71186 52809
...

user output
(empty)

Test 9

Verdict:

input
100000
72941 72942
11232 11233
73464 73465
30042 30043
...

correct output
489
16423 85168
20707 94190
36505 54940
96411 44067
...

user output
(empty)

Test 10

Verdict:

input
100000
31451 31452
7473 7474
24056 24057
85181 85182
...

correct output
51
25638 2983
87594 87371
92001 50610
46744 100000
...

user output
(empty)

Test 11

Verdict:

input
10
1 2
1 3
3 4
3 5
...

correct output
2
2 6
4 10

user output
(empty)

Test 12

Verdict:

input
7
1 2
2 3
2 4
1 5
...

correct output
2
4 7
3 6

user output
2
3 4
4 5

Test 13

Verdict:

input
6
1 2
1 3
1 4
4 5
...

correct output
2
3 6
2 5

user output
2
2 3
3 4

Test 14

Verdict:

input
65538
1 2
1 3
1 4
3 5
...

correct output
16385
34 36
40 42
35 41
48 50
...

user output
2
2 3
3 4

Test 15

Verdict:

input
11
1 2
1 3
2 4
2 5
...

correct output
2
9 11
8 10

user output
(empty)

Test 16

Verdict:

input
7
1 2
1 3
2 4
2 5
...

correct output
2
5 7
4 6

user output
2
3 4
4 5

Test 17

Verdict:

input
7
1 2
1 3
2 4
2 5
...

correct output
2
5 7
4 6

user output
2
3 4
4 5

Test 18

Verdict:

input
10
8 4
3 4
4 6
2 3
...

correct output
3
8 7
10 9
1 6

user output
(empty)

Test 19

Verdict:

input
7
1 2
1 5
2 3
2 6
...

correct output
2
6 7
3 4

user output
2
3 5
5 6

Test 20

Verdict:

input
8
1 2
1 3
2 4
2 5
...

correct output
3
4 7
6 8
1 5

user output
(empty)

Test 21

Verdict:

input
10
2 1
3 1
4 2
5 4
...

correct output
3
9 8
6 10
3 7

user output
(empty)