Submission #497680

# Submission time Handle Problem Language Result Execution time Memory
497680 2021-12-23T14:49:30 Z LittleCube Love Polygon (BOI18_polygon) C++14
100 / 100
365 ms 34648 KB
#include <bits/stdc++.h>
#define ll long long
#define pii pair<int, int>
#define pll pair<ll, ll>
#define F first
#define S second
using namespace std;

int N, idx, pre[100005], vis[100005], visr[100005], deg[100005], ans;
bool used[100005];
map<string, int> mp;
vector<int> E[100005], rE[100005], newE[100005];
vector<pii> oE;
void dfs(int k, int r)
{
    for (int i : E[k])
        if (!vis[i] || (visr[i] == r && vis[i] == 1))
        {
            vis[i]++;
            visr[i] = r;
            dfs(i, r);
        }
}

void tree_matching(int k)
{
    for (int i : rE[k])
        if (vis[i] != 2)
            tree_matching(i);
    for (int i : rE[k])
        if (vis[i] != 2 && !used[i])
        {
            used[k] = used[i] = 1;
            ans++;
            break;
        }
}

void tree_matching2(int k)
{
    vis[k] = 3;
    for (int i : newE[k])
        if (vis[i] != 3 && !used[i])
            tree_matching2(i);
    for (int i : newE[k])
        if (!used[i])
        {
            used[k] = used[i] = 1;
            ans++;
            break;
        }
    vis[k] = 0;
}

#define debug(arr)               \
    for (int i = 1; i <= N; i++) \
        cout << arr[i] << " \n"[i == N];

signed main()
{
    cin >> N;
    if (N % 2 == 1)
    {
        cout << -1 << '\n';
        return 0;
    }
    for (int i = 1; i <= N; i++)
    {
        string s, t;
        cin >> s >> t;
        if (mp[s] == 0)
            mp[s] = ++idx;
        if (mp[t] == 0)
            mp[t] = ++idx;
        oE.emplace_back(make_pair(mp[s], mp[t]));
    }
    //for (auto p : mp)
    //    cout << p.F << " " << p.S << '\n';

    sort(oE.begin(), oE.end(), [](pii p1, pii p2)
         { return pii{min(p1.F, p1.S), max(p1.F, p1.S)} < pii{min(p2.F, p2.S), max(p2.F, p2.S)}; });
    for (int i = 1; i < N; i++)
        if (oE[i].F == oE[i - 1].S && oE[i].S == oE[i - 1].F)
            used[oE[i].F] = used[oE[i].S] = 1;

    //cout << "pair ";
    //debug(used);

    for (pii p : oE)
        if (!used[p.F])
        {
            int u = p.F, v = (used[p.S] ? p.F : p.S);
            E[u].emplace_back(v);
            rE[v].emplace_back(u);
        }
    mp.clear();
    for (int i = 1; i <= N; i++)
        if (!vis[i])
        {
            vis[i] = 1;
            visr[i] = i;
            dfs(i, i);
        }

    //cout << "vis ";
    //debug(vis);

    for (int i = 1; i <= N; i++)
        if (vis[i] == 2)
        {
            tree_matching(i);
            //cout << "firstTree ";
            //debug(used);
        }

    for (int i = 1; i <= N; i++)
        if (!used[i])
            for (int j : E[i])
                if (!used[j])
                    newE[i].emplace_back(j);
    for (int i = 1; i <= N; i++)
        if (!used[i])
            tree_matching2(i);

    //cout << "secondChain ";
    //debug(used);

    for (int i = 1; i <= N; i++)
        if (!used[i])
            ans++;
    cout << ans << '\n';
}
# Verdict Execution time Memory Grader output
1 Correct 5 ms 7244 KB Output is correct
2 Correct 4 ms 7244 KB Output is correct
3 Correct 5 ms 7244 KB Output is correct
4 Correct 4 ms 7344 KB Output is correct
5 Correct 5 ms 7244 KB Output is correct
6 Correct 5 ms 7244 KB Output is correct
7 Correct 3 ms 7244 KB Output is correct
8 Correct 4 ms 7244 KB Output is correct
9 Correct 4 ms 7244 KB Output is correct
10 Correct 4 ms 7356 KB Output is correct
11 Correct 3 ms 7244 KB Output is correct
12 Correct 4 ms 7244 KB Output is correct
13 Correct 4 ms 7356 KB Output is correct
14 Correct 5 ms 7352 KB Output is correct
15 Correct 4 ms 7248 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 5 ms 7244 KB Output is correct
2 Correct 4 ms 7244 KB Output is correct
3 Correct 4 ms 7244 KB Output is correct
4 Correct 296 ms 31300 KB Output is correct
5 Correct 290 ms 22736 KB Output is correct
6 Correct 318 ms 32576 KB Output is correct
7 Correct 4 ms 7244 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 313 ms 22268 KB Output is correct
2 Correct 310 ms 23576 KB Output is correct
3 Correct 240 ms 23044 KB Output is correct
4 Correct 4 ms 7244 KB Output is correct
5 Correct 365 ms 27320 KB Output is correct
6 Correct 310 ms 21564 KB Output is correct
7 Correct 279 ms 21460 KB Output is correct
8 Correct 273 ms 22004 KB Output is correct
9 Correct 291 ms 21148 KB Output is correct
10 Correct 204 ms 20196 KB Output is correct
11 Correct 4 ms 7244 KB Output is correct
12 Correct 4 ms 7244 KB Output is correct
13 Correct 4 ms 7244 KB Output is correct
14 Correct 4 ms 7308 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 5 ms 7244 KB Output is correct
2 Correct 4 ms 7244 KB Output is correct
3 Correct 5 ms 7244 KB Output is correct
4 Correct 4 ms 7344 KB Output is correct
5 Correct 5 ms 7244 KB Output is correct
6 Correct 5 ms 7244 KB Output is correct
7 Correct 3 ms 7244 KB Output is correct
8 Correct 4 ms 7244 KB Output is correct
9 Correct 4 ms 7244 KB Output is correct
10 Correct 4 ms 7356 KB Output is correct
11 Correct 3 ms 7244 KB Output is correct
12 Correct 4 ms 7244 KB Output is correct
13 Correct 4 ms 7356 KB Output is correct
14 Correct 5 ms 7352 KB Output is correct
15 Correct 4 ms 7248 KB Output is correct
16 Correct 5 ms 7244 KB Output is correct
17 Correct 4 ms 7244 KB Output is correct
18 Correct 4 ms 7244 KB Output is correct
19 Correct 296 ms 31300 KB Output is correct
20 Correct 290 ms 22736 KB Output is correct
21 Correct 318 ms 32576 KB Output is correct
22 Correct 4 ms 7244 KB Output is correct
23 Correct 313 ms 22268 KB Output is correct
24 Correct 310 ms 23576 KB Output is correct
25 Correct 240 ms 23044 KB Output is correct
26 Correct 4 ms 7244 KB Output is correct
27 Correct 365 ms 27320 KB Output is correct
28 Correct 310 ms 21564 KB Output is correct
29 Correct 279 ms 21460 KB Output is correct
30 Correct 273 ms 22004 KB Output is correct
31 Correct 291 ms 21148 KB Output is correct
32 Correct 204 ms 20196 KB Output is correct
33 Correct 4 ms 7244 KB Output is correct
34 Correct 4 ms 7244 KB Output is correct
35 Correct 4 ms 7244 KB Output is correct
36 Correct 4 ms 7308 KB Output is correct
37 Correct 332 ms 24904 KB Output is correct
38 Correct 280 ms 25348 KB Output is correct
39 Correct 265 ms 23976 KB Output is correct
40 Correct 278 ms 23616 KB Output is correct
41 Correct 326 ms 23636 KB Output is correct
42 Correct 291 ms 24096 KB Output is correct
43 Correct 305 ms 24188 KB Output is correct
44 Correct 264 ms 24064 KB Output is correct
45 Correct 324 ms 24128 KB Output is correct
46 Correct 271 ms 24232 KB Output is correct
47 Correct 251 ms 23340 KB Output is correct
48 Correct 304 ms 24400 KB Output is correct
49 Correct 289 ms 25772 KB Output is correct
50 Correct 274 ms 25248 KB Output is correct
51 Correct 4 ms 7364 KB Output is correct
52 Correct 266 ms 29468 KB Output is correct
53 Correct 258 ms 23788 KB Output is correct
54 Correct 283 ms 23640 KB Output is correct
55 Correct 254 ms 24100 KB Output is correct
56 Correct 272 ms 23136 KB Output is correct
57 Correct 200 ms 22320 KB Output is correct
58 Correct 4 ms 7340 KB Output is correct
59 Correct 4 ms 7348 KB Output is correct
60 Correct 4 ms 7248 KB Output is correct
61 Correct 4 ms 7344 KB Output is correct
62 Correct 3 ms 7348 KB Output is correct
63 Correct 4 ms 7248 KB Output is correct
64 Correct 4 ms 7336 KB Output is correct
65 Correct 291 ms 33416 KB Output is correct
66 Correct 307 ms 24960 KB Output is correct
67 Correct 338 ms 34648 KB Output is correct
68 Correct 4 ms 7376 KB Output is correct
69 Correct 4 ms 7368 KB Output is correct
70 Correct 4 ms 7376 KB Output is correct
71 Correct 3 ms 7376 KB Output is correct
72 Correct 4 ms 7352 KB Output is correct
73 Correct 3 ms 7248 KB Output is correct
74 Correct 4 ms 7248 KB Output is correct
75 Correct 4 ms 7332 KB Output is correct
76 Correct 4 ms 7352 KB Output is correct
77 Correct 3 ms 7248 KB Output is correct
78 Correct 4 ms 7352 KB Output is correct
79 Correct 5 ms 7352 KB Output is correct
80 Correct 5 ms 7332 KB Output is correct
81 Correct 4 ms 7248 KB Output is correct
82 Correct 5 ms 7248 KB Output is correct
83 Correct 4 ms 7344 KB Output is correct