oj.uz

Submission #796264

# Submission time Handle Problem Language Result Execution time Memory
796264 2023-07-28T08:35:10 Z 이성호(#10070) Security Guard (JOI23_guard) C++17
50 / 100
 210 ms 33476 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.first == dp[p].first.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

# Verdict Execution time Memory Grader output
1 Correct 5 ms 9684 KB Output is correct
2 Correct 58 ms 26828 KB Output is correct
3 Correct 60 ms 26840 KB Output is correct
4 Correct 68 ms 26836 KB Output is correct
5 Correct 69 ms 26896 KB Output is correct
6 Correct 72 ms 26856 KB Output is correct
7 Correct 70 ms 26912 KB Output is correct
8 Correct 7 ms 9712 KB Output is correct

Subtask #2
13.0 / 13.0

# Verdict Execution time Memory Grader output
1 Correct 5 ms 9684 KB Output is correct
2 Correct 58 ms 26828 KB Output is correct
3 Correct 60 ms 26840 KB Output is correct
4 Correct 68 ms 26836 KB Output is correct
5 Correct 69 ms 26896 KB Output is correct
6 Correct 72 ms 26856 KB Output is correct
7 Correct 70 ms 26912 KB Output is correct
8 Correct 7 ms 9712 KB Output is correct
9 Correct 4 ms 9684 KB Output is correct
10 Correct 97 ms 26884 KB Output is correct
11 Correct 67 ms 26876 KB Output is correct
12 Correct 75 ms 26880 KB Output is correct
13 Correct 63 ms 26832 KB Output is correct
14 Correct 93 ms 26888 KB Output is correct
15 Correct 97 ms 26852 KB Output is correct
16 Correct 103 ms 26912 KB Output is correct
17 Correct 93 ms 26824 KB Output is correct

Subtask #3
12.0 / 12.0

# Verdict Execution time Memory Grader output
1 Correct 5 ms 9684 KB Output is correct
2 Correct 58 ms 26828 KB Output is correct
3 Correct 60 ms 26840 KB Output is correct
4 Correct 68 ms 26836 KB Output is correct
5 Correct 69 ms 26896 KB Output is correct
6 Correct 72 ms 26856 KB Output is correct
7 Correct 70 ms 26912 KB Output is correct
8 Correct 7 ms 9712 KB Output is correct
9 Correct 4 ms 9684 KB Output is correct
10 Correct 97 ms 26884 KB Output is correct
11 Correct 67 ms 26876 KB Output is correct
12 Correct 75 ms 26880 KB Output is correct
13 Correct 63 ms 26832 KB Output is correct
14 Correct 93 ms 26888 KB Output is correct
15 Correct 97 ms 26852 KB Output is correct
16 Correct 103 ms 26912 KB Output is correct
17 Correct 93 ms 26824 KB Output is correct
18 Correct 5 ms 9684 KB Output is correct
19 Correct 108 ms 27744 KB Output is correct
20 Correct 104 ms 27764 KB Output is correct
21 Correct 111 ms 27812 KB Output is correct
22 Correct 105 ms 28164 KB Output is correct
23 Correct 92 ms 28692 KB Output is correct
24 Correct 99 ms 28700 KB Output is correct
25 Correct 110 ms 28492 KB Output is correct
26 Correct 94 ms 28512 KB Output is correct
27 Correct 88 ms 28488 KB Output is correct
28 Correct 137 ms 27232 KB Output is correct
29 Correct 157 ms 27728 KB Output is correct
30 Correct 91 ms 28244 KB Output is correct
31 Correct 110 ms 28404 KB Output is correct
32 Correct 111 ms 28424 KB Output is correct
33 Correct 117 ms 29212 KB Output is correct
34 Correct 105 ms 27980 KB Output is correct
35 Correct 110 ms 29176 KB Output is correct
36 Correct 104 ms 28920 KB Output is correct
37 Correct 91 ms 28940 KB Output is correct
38 Correct 103 ms 28764 KB Output is correct
39 Correct 113 ms 28272 KB Output is correct
40 Correct 106 ms 28572 KB Output is correct
41 Correct 98 ms 26848 KB Output is correct
42 Correct 93 ms 26944 KB Output is correct
43 Correct 116 ms 28152 KB Output is correct
44 Correct 144 ms 28212 KB Output is correct
45 Correct 109 ms 28136 KB Output is correct
46 Correct 109 ms 28104 KB Output is correct
47 Correct 104 ms 28116 KB Output is correct
48 Correct 128 ms 28048 KB Output is correct
49 Correct 92 ms 28040 KB Output is correct
50 Correct 97 ms 28112 KB Output is correct
51 Correct 99 ms 28132 KB Output is correct
52 Correct 94 ms 28120 KB Output is correct

Subtask #4
13.0 / 13.0

# Verdict Execution time Memory Grader output
1 Correct 5 ms 9684 KB Output is correct
2 Correct 58 ms 26828 KB Output is correct
3 Correct 60 ms 26840 KB Output is correct
4 Correct 68 ms 26836 KB Output is correct
5 Correct 69 ms 26896 KB Output is correct
6 Correct 72 ms 26856 KB Output is correct
7 Correct 70 ms 26912 KB Output is correct
8 Correct 7 ms 9712 KB Output is correct
9 Correct 4 ms 9684 KB Output is correct
10 Correct 97 ms 26884 KB Output is correct
11 Correct 67 ms 26876 KB Output is correct
12 Correct 75 ms 26880 KB Output is correct
13 Correct 63 ms 26832 KB Output is correct
14 Correct 93 ms 26888 KB Output is correct
15 Correct 97 ms 26852 KB Output is correct
16 Correct 103 ms 26912 KB Output is correct
17 Correct 93 ms 26824 KB Output is correct
18 Correct 5 ms 9684 KB Output is correct
19 Correct 108 ms 27744 KB Output is correct
20 Correct 104 ms 27764 KB Output is correct
21 Correct 111 ms 27812 KB Output is correct
22 Correct 105 ms 28164 KB Output is correct
23 Correct 92 ms 28692 KB Output is correct
24 Correct 99 ms 28700 KB Output is correct
25 Correct 110 ms 28492 KB Output is correct
26 Correct 94 ms 28512 KB Output is correct
27 Correct 88 ms 28488 KB Output is correct
28 Correct 137 ms 27232 KB Output is correct
29 Correct 157 ms 27728 KB Output is correct
30 Correct 91 ms 28244 KB Output is correct
31 Correct 110 ms 28404 KB Output is correct
32 Correct 111 ms 28424 KB Output is correct
33 Correct 117 ms 29212 KB Output is correct
34 Correct 105 ms 27980 KB Output is correct
35 Correct 110 ms 29176 KB Output is correct
36 Correct 104 ms 28920 KB Output is correct
37 Correct 91 ms 28940 KB Output is correct
38 Correct 103 ms 28764 KB Output is correct
39 Correct 113 ms 28272 KB Output is correct
40 Correct 106 ms 28572 KB Output is correct
41 Correct 98 ms 26848 KB Output is correct
42 Correct 93 ms 26944 KB Output is correct
43 Correct 116 ms 28152 KB Output is correct
44 Correct 144 ms 28212 KB Output is correct
45 Correct 109 ms 28136 KB Output is correct
46 Correct 109 ms 28104 KB Output is correct
47 Correct 104 ms 28116 KB Output is correct
48 Correct 128 ms 28048 KB Output is correct
49 Correct 92 ms 28040 KB Output is correct
50 Correct 97 ms 28112 KB Output is correct
51 Correct 99 ms 28132 KB Output is correct
52 Correct 94 ms 28120 KB Output is correct
53 Correct 5 ms 9684 KB Output is correct
54 Correct 119 ms 27916 KB Output is correct
55 Correct 125 ms 28064 KB Output is correct
56 Correct 132 ms 29272 KB Output is correct
57 Correct 168 ms 32744 KB Output is correct
58 Correct 144 ms 33408 KB Output is correct
59 Correct 170 ms 33476 KB Output is correct
60 Correct 114 ms 30716 KB Output is correct
61 Correct 177 ms 33164 KB Output is correct
62 Correct 141 ms 33140 KB Output is correct
63 Correct 106 ms 27500 KB Output is correct
64 Correct 130 ms 29764 KB Output is correct
65 Correct 146 ms 32932 KB Output is correct
66 Correct 146 ms 33080 KB Output is correct
67 Correct 164 ms 33224 KB Output is correct
68 Correct 105 ms 29284 KB Output is correct
69 Correct 151 ms 30964 KB Output is correct
70 Correct 106 ms 29720 KB Output is correct
71 Correct 93 ms 29008 KB Output is correct
72 Correct 89 ms 29024 KB Output is correct
73 Correct 101 ms 28756 KB Output is correct
74 Correct 86 ms 28204 KB Output is correct
75 Correct 93 ms 28512 KB Output is correct
76 Correct 89 ms 26912 KB Output is correct
77 Correct 107 ms 26828 KB Output is correct
78 Correct 115 ms 28388 KB Output is correct
79 Correct 187 ms 32748 KB Output is correct
80 Correct 118 ms 29400 KB Output is correct
81 Correct 156 ms 31884 KB Output is correct
82 Correct 164 ms 32844 KB Output is correct
83 Correct 210 ms 32788 KB Output is correct
84 Correct 150 ms 32808 KB Output is correct
85 Correct 103 ms 28052 KB Output is correct
86 Correct 103 ms 28044 KB Output is correct
87 Correct 100 ms 28108 KB Output is correct
88 Correct 165 ms 32804 KB Output is correct

Subtask #5
0 / 8.0

# Verdict Execution time Memory Grader output
1 Correct 6 ms 9684 KB Output is correct
2 Incorrect 4 ms 9684 KB Output isn't correct
3 Halted 0 ms 0 KB -

Subtask #6
0 / 18.0

# Verdict Execution time Memory Grader output
1 Correct 6 ms 9684 KB Output is correct
2 Incorrect 4 ms 9684 KB Output isn't correct
3 Halted 0 ms 0 KB -

Subtask #7
0 / 24.0

# Verdict Execution time Memory Grader output
1 Correct 5 ms 9684 KB Output is correct
2 Correct 58 ms 26828 KB Output is correct
3 Correct 60 ms 26840 KB Output is correct
4 Correct 68 ms 26836 KB Output is correct
5 Correct 69 ms 26896 KB Output is correct
6 Correct 72 ms 26856 KB Output is correct
7 Correct 70 ms 26912 KB Output is correct
8 Correct 7 ms 9712 KB Output is correct
9 Correct 4 ms 9684 KB Output is correct
10 Correct 97 ms 26884 KB Output is correct
11 Correct 67 ms 26876 KB Output is correct
12 Correct 75 ms 26880 KB Output is correct
13 Correct 63 ms 26832 KB Output is correct
14 Correct 93 ms 26888 KB Output is correct
15 Correct 97 ms 26852 KB Output is correct
16 Correct 103 ms 26912 KB Output is correct
17 Correct 93 ms 26824 KB Output is correct
18 Correct 5 ms 9684 KB Output is correct
19 Correct 108 ms 27744 KB Output is correct
20 Correct 104 ms 27764 KB Output is correct
21 Correct 111 ms 27812 KB Output is correct
22 Correct 105 ms 28164 KB Output is correct
23 Correct 92 ms 28692 KB Output is correct
24 Correct 99 ms 28700 KB Output is correct
25 Correct 110 ms 28492 KB Output is correct
26 Correct 94 ms 28512 KB Output is correct
27 Correct 88 ms 28488 KB Output is correct
28 Correct 137 ms 27232 KB Output is correct
29 Correct 157 ms 27728 KB Output is correct
30 Correct 91 ms 28244 KB Output is correct
31 Correct 110 ms 28404 KB Output is correct
32 Correct 111 ms 28424 KB Output is correct
33 Correct 117 ms 29212 KB Output is correct
34 Correct 105 ms 27980 KB Output is correct
35 Correct 110 ms 29176 KB Output is correct
36 Correct 104 ms 28920 KB Output is correct
37 Correct 91 ms 28940 KB Output is correct
38 Correct 103 ms 28764 KB Output is correct
39 Correct 113 ms 28272 KB Output is correct
40 Correct 106 ms 28572 KB Output is correct
41 Correct 98 ms 26848 KB Output is correct
42 Correct 93 ms 26944 KB Output is correct
43 Correct 116 ms 28152 KB Output is correct
44 Correct 144 ms 28212 KB Output is correct
45 Correct 109 ms 28136 KB Output is correct
46 Correct 109 ms 28104 KB Output is correct
47 Correct 104 ms 28116 KB Output is correct
48 Correct 128 ms 28048 KB Output is correct
49 Correct 92 ms 28040 KB Output is correct
50 Correct 97 ms 28112 KB Output is correct
51 Correct 99 ms 28132 KB Output is correct
52 Correct 94 ms 28120 KB Output is correct
53 Correct 5 ms 9684 KB Output is correct
54 Correct 119 ms 27916 KB Output is correct
55 Correct 125 ms 28064 KB Output is correct
56 Correct 132 ms 29272 KB Output is correct
57 Correct 168 ms 32744 KB Output is correct
58 Correct 144 ms 33408 KB Output is correct
59 Correct 170 ms 33476 KB Output is correct
60 Correct 114 ms 30716 KB Output is correct
61 Correct 177 ms 33164 KB Output is correct
62 Correct 141 ms 33140 KB Output is correct
63 Correct 106 ms 27500 KB Output is correct
64 Correct 130 ms 29764 KB Output is correct
65 Correct 146 ms 32932 KB Output is correct
66 Correct 146 ms 33080 KB Output is correct
67 Correct 164 ms 33224 KB Output is correct
68 Correct 105 ms 29284 KB Output is correct
69 Correct 151 ms 30964 KB Output is correct
70 Correct 106 ms 29720 KB Output is correct
71 Correct 93 ms 29008 KB Output is correct
72 Correct 89 ms 29024 KB Output is correct
73 Correct 101 ms 28756 KB Output is correct
74 Correct 86 ms 28204 KB Output is correct
75 Correct 93 ms 28512 KB Output is correct
76 Correct 89 ms 26912 KB Output is correct
77 Correct 107 ms 26828 KB Output is correct
78 Correct 115 ms 28388 KB Output is correct
79 Correct 187 ms 32748 KB Output is correct
80 Correct 118 ms 29400 KB Output is correct
81 Correct 156 ms 31884 KB Output is correct
82 Correct 164 ms 32844 KB Output is correct
83 Correct 210 ms 32788 KB Output is correct
84 Correct 150 ms 32808 KB Output is correct
85 Correct 103 ms 28052 KB Output is correct
86 Correct 103 ms 28044 KB Output is correct
87 Correct 100 ms 28108 KB Output is correct
88 Correct 165 ms 32804 KB Output is correct
89 Correct 6 ms 9684 KB Output is correct
90 Incorrect 4 ms 9684 KB Output isn't correct
91 Halted 0 ms 0 KB -