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Submission #928634

# Submission time Handle Problem Language Result Execution time Memory
928634 2024-02-16T21:48:25 Z Regulus Network (BOI15_net) C++17
100 / 100
 457 ms 87400 KB 
#include <bits/stdc++.h>
#define IO ios::sync_with_stdio(false);cin.tie(0);
#define debug(x) cerr << #x << " = " << (x) << ' '
#define bug(x) cerr << (x) << ' '
#define endl cerr << '\n'
#define all(v) (v).begin(), (v).end()
#define SZ(v) (ll)(v).size()
#define lowbit(x) (x)&-(x)
#define pb emplace_back
#define F first
#define S second
using namespace std;
using ll = long long;
using pll = pair<ll, ll>;

const int N = 5e5+5;
int sz[N], cnt, pos, mxs[N];
vector<int> g[N], vec[N];
vector<pll> ans;
priority_queue<pll> pq;

inline void dfs(int x, int fa)
{
    if (SZ(g[x]) == 1) sz[x] = 1;
    for (int v : g[x])
    {
        if (v == fa) continue;
        dfs(v, x), sz[x] += sz[v];
        mxs[x] = max(mxs[x], sz[v]);
    }
    mxs[x] = max(mxs[x], cnt-sz[x]);
    if (mxs[x] < mxs[pos]) pos = x;
}

inline void dfs2(int x, int fa, int d)
{
    if (SZ(g[x]) == 1) vec[d].pb(x);
    for (int v : g[x]) if (v != fa) dfs2(v, x, d);
}

int main(void)
{ IO
    int n, i;

    cin >> n;
    for (i=0; i < n-1; ++i)
    { int x, y; cin >> x >> y, g[x].pb(y), g[y].pb(x); }

    for (i=1; i <= n; ++i) if (SZ(g[i]) == 1) ++cnt;
    pos = 0, mxs[0] = 2e9, dfs(1, 0);
    int tot = 0;
    for (int v : g[pos])
    {
        dfs2(v, pos, ++tot);
        pq.push({SZ(vec[tot]), tot});
    }

    while (SZ(pq) > 1)
    {
        auto p = pq.top(); pq.pop();
        auto p2 = pq.top(); pq.pop();
        ans.pb(vec[p.S].back(), vec[p2.S].back());
        vec[p.S].pop_back(), vec[p2.S].pop_back();
        if (!vec[p.S].empty()) pq.push({SZ(vec[p.S]), p.S});
        if (!vec[p2.S].empty()) pq.push({SZ(vec[p2.S]), p2.S});
    }
    if (!pq.empty())
    {
        int x = pq.top().S;
        while (!vec[x].empty())
            ans.pb(vec[x].back(), pos), vec[x].pop_back();
    }

    cout << SZ(ans) << '\n';
    for (auto p : ans) cout << p.F << ' ' << p.S << '\n';


    return 0;
}

Subtask #1
18.0 / 18.0

# Verdict Execution time Memory Grader output
1 Correct 6 ms 25176 KB Output is correct
2 Correct 6 ms 25176 KB Output is correct
3 Correct 5 ms 25176 KB Output is correct
4 Correct 6 ms 25188 KB Output is correct
5 Correct 6 ms 25180 KB Output is correct
6 Correct 6 ms 25180 KB Output is correct
7 Correct 6 ms 25180 KB Output is correct
8 Correct 5 ms 25176 KB Output is correct
9 Correct 5 ms 25180 KB Output is correct
10 Correct 6 ms 25180 KB Output is correct
11 Correct 5 ms 25180 KB Output is correct
12 Correct 6 ms 25204 KB Output is correct
13 Correct 5 ms 25180 KB Output is correct
14 Correct 6 ms 25216 KB Output is correct
15 Correct 5 ms 25176 KB Output is correct
16 Correct 5 ms 25180 KB Output is correct
17 Correct 6 ms 25180 KB Output is correct
18 Correct 6 ms 25180 KB Output is correct
19 Correct 6 ms 25180 KB Output is correct
20 Correct 5 ms 25180 KB Output is correct

Subtask #2
45.0 / 45.0

# Verdict Execution time Memory Grader output
1 Correct 6 ms 25176 KB Output is correct
2 Correct 6 ms 25176 KB Output is correct
3 Correct 5 ms 25176 KB Output is correct
4 Correct 6 ms 25188 KB Output is correct
5 Correct 6 ms 25180 KB Output is correct
6 Correct 6 ms 25180 KB Output is correct
7 Correct 6 ms 25180 KB Output is correct
8 Correct 5 ms 25176 KB Output is correct
9 Correct 5 ms 25180 KB Output is correct
10 Correct 6 ms 25180 KB Output is correct
11 Correct 5 ms 25180 KB Output is correct
12 Correct 6 ms 25204 KB Output is correct
13 Correct 5 ms 25180 KB Output is correct
14 Correct 6 ms 25216 KB Output is correct
15 Correct 5 ms 25176 KB Output is correct
16 Correct 5 ms 25180 KB Output is correct
17 Correct 6 ms 25180 KB Output is correct
18 Correct 6 ms 25180 KB Output is correct
19 Correct 6 ms 25180 KB Output is correct
20 Correct 5 ms 25180 KB Output is correct
21 Correct 5 ms 25176 KB Output is correct
22 Correct 6 ms 25436 KB Output is correct
23 Correct 7 ms 25436 KB Output is correct
24 Correct 6 ms 25436 KB Output is correct
25 Correct 6 ms 25180 KB Output is correct
26 Correct 6 ms 25180 KB Output is correct
27 Correct 8 ms 25180 KB Output is correct
28 Correct 6 ms 25176 KB Output is correct
29 Correct 6 ms 25180 KB Output is correct
30 Correct 5 ms 25180 KB Output is correct
31 Correct 6 ms 25176 KB Output is correct
32 Correct 6 ms 25224 KB Output is correct
33 Correct 6 ms 25180 KB Output is correct
34 Correct 5 ms 25212 KB Output is correct
35 Correct 5 ms 25176 KB Output is correct
36 Correct 5 ms 25176 KB Output is correct
37 Correct 5 ms 25176 KB Output is correct
38 Correct 6 ms 25180 KB Output is correct
39 Correct 6 ms 25176 KB Output is correct
40 Correct 6 ms 25180 KB Output is correct
41 Correct 6 ms 25180 KB Output is correct
42 Correct 6 ms 25180 KB Output is correct
43 Correct 5 ms 25180 KB Output is correct
44 Correct 5 ms 25180 KB Output is correct
45 Correct 5 ms 25180 KB Output is correct
46 Correct 7 ms 25180 KB Output is correct
47 Correct 5 ms 25180 KB Output is correct
48 Correct 5 ms 25180 KB Output is correct
49 Correct 6 ms 25180 KB Output is correct
50 Correct 5 ms 25180 KB Output is correct
51 Correct 6 ms 25180 KB Output is correct
52 Correct 5 ms 25216 KB Output is correct
53 Correct 6 ms 25180 KB Output is correct
54 Correct 5 ms 25180 KB Output is correct
55 Correct 6 ms 25180 KB Output is correct
56 Correct 6 ms 25224 KB Output is correct
57 Correct 6 ms 25180 KB Output is correct
58 Correct 6 ms 25180 KB Output is correct

Subtask #3
37.0 / 37.0

# Verdict Execution time Memory Grader output
1 Correct 6 ms 25176 KB Output is correct
2 Correct 6 ms 25176 KB Output is correct
3 Correct 5 ms 25176 KB Output is correct
4 Correct 6 ms 25188 KB Output is correct
5 Correct 6 ms 25180 KB Output is correct
6 Correct 6 ms 25180 KB Output is correct
7 Correct 6 ms 25180 KB Output is correct
8 Correct 5 ms 25176 KB Output is correct
9 Correct 5 ms 25180 KB Output is correct
10 Correct 6 ms 25180 KB Output is correct
11 Correct 5 ms 25180 KB Output is correct
12 Correct 6 ms 25204 KB Output is correct
13 Correct 5 ms 25180 KB Output is correct
14 Correct 6 ms 25216 KB Output is correct
15 Correct 5 ms 25176 KB Output is correct
16 Correct 5 ms 25180 KB Output is correct
17 Correct 6 ms 25180 KB Output is correct
18 Correct 6 ms 25180 KB Output is correct
19 Correct 6 ms 25180 KB Output is correct
20 Correct 5 ms 25180 KB Output is correct
21 Correct 5 ms 25176 KB Output is correct
22 Correct 6 ms 25436 KB Output is correct
23 Correct 7 ms 25436 KB Output is correct
24 Correct 6 ms 25436 KB Output is correct
25 Correct 6 ms 25180 KB Output is correct
26 Correct 6 ms 25180 KB Output is correct
27 Correct 8 ms 25180 KB Output is correct
28 Correct 6 ms 25176 KB Output is correct
29 Correct 6 ms 25180 KB Output is correct
30 Correct 5 ms 25180 KB Output is correct
31 Correct 6 ms 25176 KB Output is correct
32 Correct 6 ms 25224 KB Output is correct
33 Correct 6 ms 25180 KB Output is correct
34 Correct 5 ms 25212 KB Output is correct
35 Correct 5 ms 25176 KB Output is correct
36 Correct 5 ms 25176 KB Output is correct
37 Correct 5 ms 25176 KB Output is correct
38 Correct 6 ms 25180 KB Output is correct
39 Correct 6 ms 25176 KB Output is correct
40 Correct 6 ms 25180 KB Output is correct
41 Correct 6 ms 25180 KB Output is correct
42 Correct 6 ms 25180 KB Output is correct
43 Correct 5 ms 25180 KB Output is correct
44 Correct 5 ms 25180 KB Output is correct
45 Correct 5 ms 25180 KB Output is correct
46 Correct 7 ms 25180 KB Output is correct
47 Correct 5 ms 25180 KB Output is correct
48 Correct 5 ms 25180 KB Output is correct
49 Correct 6 ms 25180 KB Output is correct
50 Correct 5 ms 25180 KB Output is correct
51 Correct 6 ms 25180 KB Output is correct
52 Correct 5 ms 25216 KB Output is correct
53 Correct 6 ms 25180 KB Output is correct
54 Correct 5 ms 25180 KB Output is correct
55 Correct 6 ms 25180 KB Output is correct
56 Correct 6 ms 25224 KB Output is correct
57 Correct 6 ms 25180 KB Output is correct
58 Correct 6 ms 25180 KB Output is correct
59 Correct 369 ms 63148 KB Output is correct
60 Correct 327 ms 58088 KB Output is correct
61 Correct 6 ms 25180 KB Output is correct
62 Correct 6 ms 25032 KB Output is correct
63 Correct 278 ms 55108 KB Output is correct
64 Correct 8 ms 25436 KB Output is correct
65 Correct 13 ms 26972 KB Output is correct
66 Correct 79 ms 39728 KB Output is correct
67 Correct 389 ms 65768 KB Output is correct
68 Correct 450 ms 60440 KB Output is correct
69 Correct 11 ms 26836 KB Output is correct
70 Correct 75 ms 45020 KB Output is correct
71 Correct 306 ms 87400 KB Output is correct
72 Correct 311 ms 83696 KB Output is correct
73 Correct 57 ms 33228 KB Output is correct
74 Correct 335 ms 55312 KB Output is correct
75 Correct 28 ms 30164 KB Output is correct
76 Correct 308 ms 71328 KB Output is correct
77 Correct 293 ms 71980 KB Output is correct
78 Correct 26 ms 28756 KB Output is correct
79 Correct 457 ms 58380 KB Output is correct
80 Correct 7 ms 25436 KB Output is correct
81 Correct 81 ms 40456 KB Output is correct
82 Correct 400 ms 71212 KB Output is correct
83 Correct 317 ms 55460 KB Output is correct
84 Correct 338 ms 55908 KB Output is correct
85 Correct 357 ms 55776 KB Output is correct
86 Correct 342 ms 58608 KB Output is correct
87 Correct 326 ms 58980 KB Output is correct