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Submission #676958

# Submission time Handle Problem Language Result Execution time Memory
676958 2023-01-01T18:27:56 Z KKT89 Love Polygon (BOI18_polygon) C++17
100 / 100
 188 ms 15648 KB 
#pragma GCC optimize("Ofast")
#include <bits/stdc++.h>
using namespace std;
typedef long long int ll;
typedef unsigned long long int ull;

mt19937_64 rng(chrono::steady_clock::now().time_since_epoch().count());
ll myrand(ll B){
    return (ull)rng() % B;
}
inline double time() {
    return static_cast<long double>(chrono::duration_cast<chrono::nanoseconds>(chrono::steady_clock::now().time_since_epoch()).count()) * 1e-9;
}

int main() {
    cin.tie(nullptr);
    ios::sync_with_stdio(false);
    int n; cin >> n;
    map<string,int> mp;
    auto id = [&](string s)->int{
        if(mp.find(s) != mp.end()){
            return mp[s];
        }
        int sz = mp.size();
        mp[s] = sz; return sz;
    };
    vector<int> g(n,-1);
    vector<int> deg(n);
    vector<int> res(n,-1);
    for (int i = 0; i < n; ++i) {
        string s,t; cin >> s >> t;
        int x = id(s), y = id(t);
        g[x] = y;
        deg[y]++;
    }
    if(n%2){
        cout << -1 << endl;
        return 0;
    }
    vector<vector<int>> v(n);
    vector<pair<int,int>> pr;
    queue<int> q;
    for (int i = 0; i < n; ++i) {
        if(deg[i] == 0){
            q.push(i);
        }
    }
    while (q.size()){
        int s = q.front(); q.pop();
        int t = g[s];
        pr.push_back({s,t});
        deg[t]--;
        if(deg[t] == 0) q.push(t);
    }
    for(auto p:pr){
        auto [x,y] = p;
        if(deg[y] != 0){
            if(res[x] == -1) v[y].push_back(x);
        }
        else{
            if(res[x] == -1){
                if(res[y] == -1){
                    res[x] = 0;
                    res[y] = 1;
                }
                else{
                    res[x] = 1;
                }
            }
        }
    }
    int ans = 0;
    for (int i = 0; i < n; ++i) {
        if(res[i] != -1 or deg[i] == 0) continue;
        vector<int> cyc;
        int cur = i;
        do{
            cyc.push_back(cur);
            res[cur] = 0;
            for(int j:v[cur]){
                res[j] = 0;
            }
            cur = g[cur];
        } while (cur != i);
        int opt = 1e9;
        int m = cyc.size();
        if(m == 2){
            opt = v[cyc[0]].size() + v[cyc[1]].size();
            ans += opt;
            continue;
        }
        {
            vector<int> dp(m+1,1e9);
            dp[0] = 0;
            for (int j = 0; j < m; ++j) {
                if(j+1 < m){
                    dp[j+2] = min(dp[j+2], dp[j]+1+(int)v[cyc[j]].size()+(int)v[cyc[j+1]].size());
                }
                dp[j+1] = min(dp[j+1], dp[j]+1+(int)v[cyc[j]].size());
                if(v[cyc[j]].size()){
                    dp[j+1] = min(dp[j+1], dp[j]+1+(int)v[cyc[j]].size()-1);
                }
            }
            opt = min(opt, dp[m]);
        }
        reverse(cyc.begin(), cyc.end());
        int c = cyc.back(); cyc.pop_back();
        reverse(cyc.begin(), cyc.end()); cyc.push_back(c);
        {
            vector<int> dp(m+1,1e9);
            dp[0] = 0;
            for (int j = 0; j < m; ++j) {
                if(j+1 < m){
                    dp[j+2] = min(dp[j+2], dp[j]+1+(int)v[cyc[j]].size()+(int)v[cyc[j+1]].size());
                }
                dp[j+1] = min(dp[j+1], dp[j]+1+(int)v[cyc[j]].size());
                if(v[cyc[j]].size()){
                    dp[j+1] = min(dp[j+1], dp[j]+1+(int)v[cyc[j]].size()-1);
                }
            }
            opt = min(opt, dp[m]);
        }
        ans += opt;
    }
    for (int i = 0; i < n; ++i) {
        ans += res[i];
    }
    cout << ans << endl;
}

Subtask #1
21.0 / 21.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 212 KB Output is correct
2 Correct 1 ms 212 KB Output is correct
3 Correct 1 ms 212 KB Output is correct
4 Correct 1 ms 212 KB Output is correct
5 Correct 1 ms 212 KB Output is correct
6 Correct 0 ms 212 KB Output is correct
7 Correct 1 ms 316 KB Output is correct
8 Correct 1 ms 212 KB Output is correct
9 Correct 1 ms 332 KB Output is correct
10 Correct 1 ms 324 KB Output is correct
11 Correct 1 ms 212 KB Output is correct
12 Correct 1 ms 212 KB Output is correct
13 Correct 1 ms 212 KB Output is correct
14 Correct 1 ms 212 KB Output is correct
15 Correct 1 ms 212 KB Output is correct

Subtask #2
25.0 / 25.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 324 KB Output is correct
2 Correct 1 ms 212 KB Output is correct
3 Correct 1 ms 320 KB Output is correct
4 Correct 159 ms 14628 KB Output is correct
5 Correct 160 ms 13776 KB Output is correct
6 Correct 170 ms 14668 KB Output is correct
7 Correct 160 ms 11616 KB Output is correct

Subtask #3
29.0 / 29.0

# Verdict Execution time Memory Grader output
1 Correct 162 ms 15052 KB Output is correct
2 Correct 152 ms 15044 KB Output is correct
3 Correct 139 ms 13756 KB Output is correct
4 Correct 143 ms 11464 KB Output is correct
5 Correct 156 ms 14964 KB Output is correct
6 Correct 151 ms 15172 KB Output is correct
7 Correct 148 ms 15360 KB Output is correct
8 Correct 159 ms 14760 KB Output is correct
9 Correct 134 ms 15248 KB Output is correct
10 Correct 110 ms 15648 KB Output is correct
11 Correct 0 ms 212 KB Output is correct
12 Correct 0 ms 324 KB Output is correct
13 Correct 0 ms 212 KB Output is correct
14 Correct 1 ms 212 KB Output is correct

Subtask #4
25.0 / 25.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 212 KB Output is correct
2 Correct 1 ms 212 KB Output is correct
3 Correct 1 ms 212 KB Output is correct
4 Correct 1 ms 212 KB Output is correct
5 Correct 1 ms 212 KB Output is correct
6 Correct 0 ms 212 KB Output is correct
7 Correct 1 ms 316 KB Output is correct
8 Correct 1 ms 212 KB Output is correct
9 Correct 1 ms 332 KB Output is correct
10 Correct 1 ms 324 KB Output is correct
11 Correct 1 ms 212 KB Output is correct
12 Correct 1 ms 212 KB Output is correct
13 Correct 1 ms 212 KB Output is correct
14 Correct 1 ms 212 KB Output is correct
15 Correct 1 ms 212 KB Output is correct
16 Correct 1 ms 324 KB Output is correct
17 Correct 1 ms 212 KB Output is correct
18 Correct 1 ms 320 KB Output is correct
19 Correct 159 ms 14628 KB Output is correct
20 Correct 160 ms 13776 KB Output is correct
21 Correct 170 ms 14668 KB Output is correct
22 Correct 160 ms 11616 KB Output is correct
23 Correct 162 ms 15052 KB Output is correct
24 Correct 152 ms 15044 KB Output is correct
25 Correct 139 ms 13756 KB Output is correct
26 Correct 143 ms 11464 KB Output is correct
27 Correct 156 ms 14964 KB Output is correct
28 Correct 151 ms 15172 KB Output is correct
29 Correct 148 ms 15360 KB Output is correct
30 Correct 159 ms 14760 KB Output is correct
31 Correct 134 ms 15248 KB Output is correct
32 Correct 110 ms 15648 KB Output is correct
33 Correct 0 ms 212 KB Output is correct
34 Correct 0 ms 324 KB Output is correct
35 Correct 0 ms 212 KB Output is correct
36 Correct 1 ms 212 KB Output is correct
37 Correct 187 ms 15008 KB Output is correct
38 Correct 184 ms 15136 KB Output is correct
39 Correct 156 ms 15140 KB Output is correct
40 Correct 150 ms 15132 KB Output is correct
41 Correct 149 ms 15168 KB Output is correct
42 Correct 171 ms 15104 KB Output is correct
43 Correct 152 ms 15044 KB Output is correct
44 Correct 156 ms 15128 KB Output is correct
45 Correct 156 ms 15044 KB Output is correct
46 Correct 174 ms 15092 KB Output is correct
47 Correct 165 ms 15184 KB Output is correct
48 Correct 148 ms 15068 KB Output is correct
49 Correct 150 ms 15004 KB Output is correct
50 Correct 152 ms 13820 KB Output is correct
51 Correct 166 ms 11424 KB Output is correct
52 Correct 156 ms 14924 KB Output is correct
53 Correct 150 ms 15100 KB Output is correct
54 Correct 166 ms 15132 KB Output is correct
55 Correct 159 ms 14768 KB Output is correct
56 Correct 138 ms 15236 KB Output is correct
57 Correct 108 ms 15604 KB Output is correct
58 Correct 1 ms 212 KB Output is correct
59 Correct 1 ms 212 KB Output is correct
60 Correct 1 ms 328 KB Output is correct
61 Correct 1 ms 212 KB Output is correct
62 Correct 1 ms 324 KB Output is correct
63 Correct 0 ms 212 KB Output is correct
64 Correct 1 ms 324 KB Output is correct
65 Correct 149 ms 14532 KB Output is correct
66 Correct 150 ms 13716 KB Output is correct
67 Correct 158 ms 14876 KB Output is correct
68 Correct 188 ms 11428 KB Output is correct
69 Correct 1 ms 212 KB Output is correct
70 Correct 1 ms 324 KB Output is correct
71 Correct 1 ms 212 KB Output is correct
72 Correct 0 ms 212 KB Output is correct
73 Correct 0 ms 212 KB Output is correct
74 Correct 1 ms 212 KB Output is correct
75 Correct 0 ms 212 KB Output is correct
76 Correct 1 ms 212 KB Output is correct
77 Correct 0 ms 320 KB Output is correct
78 Correct 0 ms 320 KB Output is correct
79 Correct 1 ms 212 KB Output is correct
80 Correct 1 ms 212 KB Output is correct
81 Correct 1 ms 212 KB Output is correct
82 Correct 1 ms 212 KB Output is correct
83 Correct 0 ms 212 KB Output is correct