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답안 #796251

# 제출 시각 아이디 문제 언어 결과 실행 시간 메모리
796251 2023-07-28T08:22:42 Z 이성호(#10070) Security Guard (JOI23_guard) C++17
50 / 100
 178 ms 33400 KB 
#include <iostream>
#include <numeric>
#include <vector>
#include <algorithm>
#define int long long
using namespace std;
vector<int> adj[200005];
pair<int, pair<int, int>> edge[400005];
int S[200005];
int N, M, Q;
struct UnionFind
{
    vector<int> par;
    UnionFind(int n){par.resize(n+1); for(int i=1;i<=n;i++) par[i] = i;}
    int fin(int i){return i==par[i]?i:(par[i] = fin(par[i]));}
    void uni(int u, int v){par[fin(u)] = fin(v);}
    bool isuni(int u, int v){return fin(u) == fin(v);}
};
using pii = pair<int, int>;
vector<int> gph[200005];
pair<int, int> now[200005];
pair<pii, pii> dp[200005];
pii dp2[200005];
int par[200005];
const int inf = 1e18;
void dfs(int v, int p)
{
    par[v] = p;
    dp[v] = make_pair(make_pair(S[v], v), make_pair(inf, -1));
    for (int i:gph[v]) {
        if (i != p) {
            dfs(i, v);
            if (dp[v].first > dp[i].first) {
                dp[v] = make_pair(dp[i].first, min(dp[v].first, dp[i].second));
            }
            else {
                dp[v].second = min(dp[v].second, dp[i].first);
            }
        }
    }
}
void dfs2(int v, int p)
{
    if (v != 1) {
        dp2[v] = dp2[p];
        if (dp[v].first == dp[p].first) dp2[v] = min(dp2[v], dp[p].second);
        else dp2[v] = min(dp2[v], dp[p].first);
    }
    else {
        dp2[1] = make_pair(inf, -1);
    }
    for (int i:gph[v]) {
        if (i != p) {
            dfs2(i, v);
        }
    }
}
signed main()
{
    ios::sync_with_stdio(false); cin.tie(0); cout.tie(0);
    cin >> N >> M >> Q;
    for (int i = 1; i <= N; i++) cin >> S[i];
    for (int i = 0; i < M; i++) {
        int u, v; cin >> u >> v;
        edge[i] = make_pair(S[u] + S[v], make_pair(u, v));
    }
    int ans = 0;
    sort(edge, edge + M);
    UnionFind uf(N);
    int pv = 0;
    for (int i = 0; i < M; i++) {
        int u = edge[i].second.first, v = edge[i].second.second;
        if (!uf.isuni(u, v)) {
            uf.uni(u, v);
            ans += S[u] + S[v];
            gph[u].push_back(v);
            gph[v].push_back(u);
            now[pv++] = make_pair(u, v);
        }
    }
    int df = *max_element(S+1, S+N+1) - accumulate(S+1, S+N+1, 0LL);
    cout << ans + df << '\n';
    return 0;
    for (int tt = 0; tt < Q; tt++) {
        if (tt < N - 1) {
            dfs(1, 0);
            dfs2(1, 0);
            int cur = inf, id = -1;
            for (int k = 0; k < N - 1; k++) {
                int u = now[k].first, v = now[k].second;
                if (u == par[v]) swap(u, v);
                int dec = dp[u].first.first + dp2[u].first - S[u] - S[v];
                if (cur > dec) {
                    cur = dec;
                    id = k;
                }
            }
            int u = now[id].first, v = now[id].second;
            if (u == par[v]) swap(u, v);
            ans += cur;
            gph[u].erase(remove(gph[u].begin(), gph[u].end(), v), gph[u].end());
            gph[v].erase(remove(gph[v].begin(), gph[v].end(), u), gph[v].end());
            int nu = dp[u].first.second, nv = dp2[u].second;
            now[id] = make_pair(nu, nv);
            gph[nu].push_back(nv);
            gph[nv].push_back(nu);
        }
        cout << ans + df << '\n';
    }
}

Subtask #1
12.0 / 12.0

# 결과 실행 시간 메모리 Grader output
1 Correct 6 ms 9684 KB Output is correct
2 Correct 58 ms 26828 KB Output is correct
3 Correct 59 ms 26864 KB Output is correct
4 Correct 69 ms 26896 KB Output is correct
5 Correct 70 ms 26940 KB Output is correct
6 Correct 69 ms 26828 KB Output is correct
7 Correct 72 ms 26852 KB Output is correct
8 Correct 4 ms 9684 KB Output is correct

Subtask #2
13.0 / 13.0

# 결과 실행 시간 메모리 Grader output
1 Correct 6 ms 9684 KB Output is correct
2 Correct 58 ms 26828 KB Output is correct
3 Correct 59 ms 26864 KB Output is correct
4 Correct 69 ms 26896 KB Output is correct
5 Correct 70 ms 26940 KB Output is correct
6 Correct 69 ms 26828 KB Output is correct
7 Correct 72 ms 26852 KB Output is correct
8 Correct 4 ms 9684 KB Output is correct
9 Correct 4 ms 9684 KB Output is correct
10 Correct 94 ms 26948 KB Output is correct
11 Correct 67 ms 26828 KB Output is correct
12 Correct 66 ms 26832 KB Output is correct
13 Correct 66 ms 26832 KB Output is correct
14 Correct 113 ms 26844 KB Output is correct
15 Correct 93 ms 26936 KB Output is correct
16 Correct 103 ms 26920 KB Output is correct
17 Correct 133 ms 26916 KB Output is correct

Subtask #3
12.0 / 12.0

# 결과 실행 시간 메모리 Grader output
1 Correct 6 ms 9684 KB Output is correct
2 Correct 58 ms 26828 KB Output is correct
3 Correct 59 ms 26864 KB Output is correct
4 Correct 69 ms 26896 KB Output is correct
5 Correct 70 ms 26940 KB Output is correct
6 Correct 69 ms 26828 KB Output is correct
7 Correct 72 ms 26852 KB Output is correct
8 Correct 4 ms 9684 KB Output is correct
9 Correct 4 ms 9684 KB Output is correct
10 Correct 94 ms 26948 KB Output is correct
11 Correct 67 ms 26828 KB Output is correct
12 Correct 66 ms 26832 KB Output is correct
13 Correct 66 ms 26832 KB Output is correct
14 Correct 113 ms 26844 KB Output is correct
15 Correct 93 ms 26936 KB Output is correct
16 Correct 103 ms 26920 KB Output is correct
17 Correct 133 ms 26916 KB Output is correct
18 Correct 5 ms 9628 KB Output is correct
19 Correct 116 ms 27764 KB Output is correct
20 Correct 125 ms 27764 KB Output is correct
21 Correct 129 ms 27884 KB Output is correct
22 Correct 123 ms 28136 KB Output is correct
23 Correct 103 ms 28648 KB Output is correct
24 Correct 99 ms 28560 KB Output is correct
25 Correct 104 ms 28512 KB Output is correct
26 Correct 93 ms 28472 KB Output is correct
27 Correct 96 ms 28500 KB Output is correct
28 Correct 111 ms 27168 KB Output is correct
29 Correct 138 ms 27632 KB Output is correct
30 Correct 118 ms 28316 KB Output is correct
31 Correct 104 ms 28400 KB Output is correct
32 Correct 112 ms 28512 KB Output is correct
33 Correct 99 ms 29260 KB Output is correct
34 Correct 113 ms 28108 KB Output is correct
35 Correct 98 ms 29104 KB Output is correct
36 Correct 91 ms 29032 KB Output is correct
37 Correct 91 ms 29032 KB Output is correct
38 Correct 98 ms 28672 KB Output is correct
39 Correct 91 ms 28244 KB Output is correct
40 Correct 93 ms 28508 KB Output is correct
41 Correct 87 ms 26856 KB Output is correct
42 Correct 85 ms 26844 KB Output is correct
43 Correct 107 ms 28128 KB Output is correct
44 Correct 115 ms 28132 KB Output is correct
45 Correct 106 ms 28076 KB Output is correct
46 Correct 119 ms 28076 KB Output is correct
47 Correct 109 ms 28052 KB Output is correct
48 Correct 121 ms 28120 KB Output is correct
49 Correct 101 ms 28112 KB Output is correct
50 Correct 94 ms 28124 KB Output is correct
51 Correct 100 ms 28128 KB Output is correct
52 Correct 91 ms 28144 KB Output is correct

Subtask #4
13.0 / 13.0

# 결과 실행 시간 메모리 Grader output
1 Correct 6 ms 9684 KB Output is correct
2 Correct 58 ms 26828 KB Output is correct
3 Correct 59 ms 26864 KB Output is correct
4 Correct 69 ms 26896 KB Output is correct
5 Correct 70 ms 26940 KB Output is correct
6 Correct 69 ms 26828 KB Output is correct
7 Correct 72 ms 26852 KB Output is correct
8 Correct 4 ms 9684 KB Output is correct
9 Correct 4 ms 9684 KB Output is correct
10 Correct 94 ms 26948 KB Output is correct
11 Correct 67 ms 26828 KB Output is correct
12 Correct 66 ms 26832 KB Output is correct
13 Correct 66 ms 26832 KB Output is correct
14 Correct 113 ms 26844 KB Output is correct
15 Correct 93 ms 26936 KB Output is correct
16 Correct 103 ms 26920 KB Output is correct
17 Correct 133 ms 26916 KB Output is correct
18 Correct 5 ms 9628 KB Output is correct
19 Correct 116 ms 27764 KB Output is correct
20 Correct 125 ms 27764 KB Output is correct
21 Correct 129 ms 27884 KB Output is correct
22 Correct 123 ms 28136 KB Output is correct
23 Correct 103 ms 28648 KB Output is correct
24 Correct 99 ms 28560 KB Output is correct
25 Correct 104 ms 28512 KB Output is correct
26 Correct 93 ms 28472 KB Output is correct
27 Correct 96 ms 28500 KB Output is correct
28 Correct 111 ms 27168 KB Output is correct
29 Correct 138 ms 27632 KB Output is correct
30 Correct 118 ms 28316 KB Output is correct
31 Correct 104 ms 28400 KB Output is correct
32 Correct 112 ms 28512 KB Output is correct
33 Correct 99 ms 29260 KB Output is correct
34 Correct 113 ms 28108 KB Output is correct
35 Correct 98 ms 29104 KB Output is correct
36 Correct 91 ms 29032 KB Output is correct
37 Correct 91 ms 29032 KB Output is correct
38 Correct 98 ms 28672 KB Output is correct
39 Correct 91 ms 28244 KB Output is correct
40 Correct 93 ms 28508 KB Output is correct
41 Correct 87 ms 26856 KB Output is correct
42 Correct 85 ms 26844 KB Output is correct
43 Correct 107 ms 28128 KB Output is correct
44 Correct 115 ms 28132 KB Output is correct
45 Correct 106 ms 28076 KB Output is correct
46 Correct 119 ms 28076 KB Output is correct
47 Correct 109 ms 28052 KB Output is correct
48 Correct 121 ms 28120 KB Output is correct
49 Correct 101 ms 28112 KB Output is correct
50 Correct 94 ms 28124 KB Output is correct
51 Correct 100 ms 28128 KB Output is correct
52 Correct 91 ms 28144 KB Output is correct
53 Correct 4 ms 9684 KB Output is correct
54 Correct 107 ms 27996 KB Output is correct
55 Correct 109 ms 28040 KB Output is correct
56 Correct 122 ms 29288 KB Output is correct
57 Correct 155 ms 32852 KB Output is correct
58 Correct 143 ms 33352 KB Output is correct
59 Correct 154 ms 33400 KB Output is correct
60 Correct 116 ms 30676 KB Output is correct
61 Correct 155 ms 33196 KB Output is correct
62 Correct 152 ms 33084 KB Output is correct
63 Correct 113 ms 27540 KB Output is correct
64 Correct 124 ms 29692 KB Output is correct
65 Correct 152 ms 32944 KB Output is correct
66 Correct 141 ms 33196 KB Output is correct
67 Correct 168 ms 33176 KB Output is correct
68 Correct 101 ms 29284 KB Output is correct
69 Correct 143 ms 30900 KB Output is correct
70 Correct 104 ms 29684 KB Output is correct
71 Correct 92 ms 28956 KB Output is correct
72 Correct 95 ms 29008 KB Output is correct
73 Correct 102 ms 28740 KB Output is correct
74 Correct 90 ms 28272 KB Output is correct
75 Correct 94 ms 28612 KB Output is correct
76 Correct 94 ms 26988 KB Output is correct
77 Correct 104 ms 26968 KB Output is correct
78 Correct 111 ms 28428 KB Output is correct
79 Correct 178 ms 32820 KB Output is correct
80 Correct 121 ms 29364 KB Output is correct
81 Correct 157 ms 31936 KB Output is correct
82 Correct 166 ms 32852 KB Output is correct
83 Correct 168 ms 32764 KB Output is correct
84 Correct 150 ms 32820 KB Output is correct
85 Correct 107 ms 28132 KB Output is correct
86 Correct 103 ms 28092 KB Output is correct
87 Correct 91 ms 28156 KB Output is correct
88 Correct 162 ms 32816 KB Output is correct

Subtask #5
0 / 8.0

# 결과 실행 시간 메모리 Grader output
1 Correct 5 ms 9684 KB Output is correct
2 Incorrect 5 ms 9684 KB Output isn't correct
3 Halted 0 ms 0 KB -

Subtask #6
0 / 18.0

# 결과 실행 시간 메모리 Grader output
1 Correct 5 ms 9684 KB Output is correct
2 Incorrect 5 ms 9684 KB Output isn't correct
3 Halted 0 ms 0 KB -

Subtask #7
0 / 24.0

# 결과 실행 시간 메모리 Grader output
1 Correct 6 ms 9684 KB Output is correct
2 Correct 58 ms 26828 KB Output is correct
3 Correct 59 ms 26864 KB Output is correct
4 Correct 69 ms 26896 KB Output is correct
5 Correct 70 ms 26940 KB Output is correct
6 Correct 69 ms 26828 KB Output is correct
7 Correct 72 ms 26852 KB Output is correct
8 Correct 4 ms 9684 KB Output is correct
9 Correct 4 ms 9684 KB Output is correct
10 Correct 94 ms 26948 KB Output is correct
11 Correct 67 ms 26828 KB Output is correct
12 Correct 66 ms 26832 KB Output is correct
13 Correct 66 ms 26832 KB Output is correct
14 Correct 113 ms 26844 KB Output is correct
15 Correct 93 ms 26936 KB Output is correct
16 Correct 103 ms 26920 KB Output is correct
17 Correct 133 ms 26916 KB Output is correct
18 Correct 5 ms 9628 KB Output is correct
19 Correct 116 ms 27764 KB Output is correct
20 Correct 125 ms 27764 KB Output is correct
21 Correct 129 ms 27884 KB Output is correct
22 Correct 123 ms 28136 KB Output is correct
23 Correct 103 ms 28648 KB Output is correct
24 Correct 99 ms 28560 KB Output is correct
25 Correct 104 ms 28512 KB Output is correct
26 Correct 93 ms 28472 KB Output is correct
27 Correct 96 ms 28500 KB Output is correct
28 Correct 111 ms 27168 KB Output is correct
29 Correct 138 ms 27632 KB Output is correct
30 Correct 118 ms 28316 KB Output is correct
31 Correct 104 ms 28400 KB Output is correct
32 Correct 112 ms 28512 KB Output is correct
33 Correct 99 ms 29260 KB Output is correct
34 Correct 113 ms 28108 KB Output is correct
35 Correct 98 ms 29104 KB Output is correct
36 Correct 91 ms 29032 KB Output is correct
37 Correct 91 ms 29032 KB Output is correct
38 Correct 98 ms 28672 KB Output is correct
39 Correct 91 ms 28244 KB Output is correct
40 Correct 93 ms 28508 KB Output is correct
41 Correct 87 ms 26856 KB Output is correct
42 Correct 85 ms 26844 KB Output is correct
43 Correct 107 ms 28128 KB Output is correct
44 Correct 115 ms 28132 KB Output is correct
45 Correct 106 ms 28076 KB Output is correct
46 Correct 119 ms 28076 KB Output is correct
47 Correct 109 ms 28052 KB Output is correct
48 Correct 121 ms 28120 KB Output is correct
49 Correct 101 ms 28112 KB Output is correct
50 Correct 94 ms 28124 KB Output is correct
51 Correct 100 ms 28128 KB Output is correct
52 Correct 91 ms 28144 KB Output is correct
53 Correct 4 ms 9684 KB Output is correct
54 Correct 107 ms 27996 KB Output is correct
55 Correct 109 ms 28040 KB Output is correct
56 Correct 122 ms 29288 KB Output is correct
57 Correct 155 ms 32852 KB Output is correct
58 Correct 143 ms 33352 KB Output is correct
59 Correct 154 ms 33400 KB Output is correct
60 Correct 116 ms 30676 KB Output is correct
61 Correct 155 ms 33196 KB Output is correct
62 Correct 152 ms 33084 KB Output is correct
63 Correct 113 ms 27540 KB Output is correct
64 Correct 124 ms 29692 KB Output is correct
65 Correct 152 ms 32944 KB Output is correct
66 Correct 141 ms 33196 KB Output is correct
67 Correct 168 ms 33176 KB Output is correct
68 Correct 101 ms 29284 KB Output is correct
69 Correct 143 ms 30900 KB Output is correct
70 Correct 104 ms 29684 KB Output is correct
71 Correct 92 ms 28956 KB Output is correct
72 Correct 95 ms 29008 KB Output is correct
73 Correct 102 ms 28740 KB Output is correct
74 Correct 90 ms 28272 KB Output is correct
75 Correct 94 ms 28612 KB Output is correct
76 Correct 94 ms 26988 KB Output is correct
77 Correct 104 ms 26968 KB Output is correct
78 Correct 111 ms 28428 KB Output is correct
79 Correct 178 ms 32820 KB Output is correct
80 Correct 121 ms 29364 KB Output is correct
81 Correct 157 ms 31936 KB Output is correct
82 Correct 166 ms 32852 KB Output is correct
83 Correct 168 ms 32764 KB Output is correct
84 Correct 150 ms 32820 KB Output is correct
85 Correct 107 ms 28132 KB Output is correct
86 Correct 103 ms 28092 KB Output is correct
87 Correct 91 ms 28156 KB Output is correct
88 Correct 162 ms 32816 KB Output is correct
89 Correct 5 ms 9684 KB Output is correct
90 Incorrect 5 ms 9684 KB Output isn't correct
91 Halted 0 ms 0 KB -