Submission #157154

# Submission time Handle Problem Language Result Execution time Memory
157154 2019-10-09T18:22:35 Z fedoseevtimofey Construction of Highway (JOI18_construction) C++14
16 / 100
2000 ms 111180 KB
#include <bits/stdc++.h>

using namespace std;

typedef long long ll;
typedef long double ld;

const int N = 1e5 + 7;
vector <int> g[N];
int sz[N], st[N], en[N], par[N], in[N], out[N], h[N];

int A[N], B[N], C[N];
deque <pair <int, int>> col[N];

void dfs(int u = 0, int p = -1) {
    par[u] = p;
    for (int i = 0; i < g[u].size(); ++i) {
        if (g[u][i] == p) {
            g[u].erase(g[u].begin() + i);
            break;
        }
    }
    sz[u] = 1;
    for (int v : g[u]) {
        dfs(v, u);
        sz[u] += sz[v];
    }
    for (int i = 1; i < (int)g[u].size(); ++i) {
        if (sz[g[u][i]] > sz[g[u][0]]) swap(g[u][i], g[u][0]);
    }
}

vector <int> e;

int dfs_hld(int u = 0, int head = 0) {
    e.push_back(u);
    in[u] = (int)e.size() - 1;
    st[u] = head;
    if (par[u] != -1) h[u] = h[par[u]] + 1;
    else h[u] = 0;
    if (!g[u].empty()) {
        en[u] = dfs_hld(g[u][0], head);
        for (int i = 1; i < (int)g[u].size(); ++i) {
            dfs_hld(g[u][i], g[u][i]);
        }
    } else {
        en[u] = u;
    }
    out[u] = (int)e.size() - 1;
    return en[u];
}

bool anc(int a, int b) {
    return in[a] <= in[b] && out[b] <= out[a];
}

int main() {
    ios_base::sync_with_stdio(false); cin.tie(0); cout.setf(ios::fixed); cout.precision(20);
    #ifdef LOCAL
    freopen("input.txt", "r", stdin);
    freopen("output.txt", "w", stdout);
    #endif
    int n;
    cin >> n;
    for (int i = 0; i < n; ++i) cin >> C[i];
    for (int i = 0; i + 1 < n; ++i) {
        cin >> A[i] >> B[i];
        --A[i], --B[i];
        g[A[i]].push_back(B[i]);
        g[B[i]].push_back(A[i]);
    }
    dfs();
    dfs_hld();
    col[0].push_back({C[0], 0});
    for (int id = 0; id + 1 < n; ++id) {
        int ans = 0;
        int u = B[id];
        vector <pair <int, int>> hv;
        while (u != -1) {
            int pth = st[u];
            vector <pair <int, int>> cur;
            for (int i = 0; i < (int)col[pth].size(); ++i) {
                if (anc(col[pth][i].second, u)) {
                    cur.push_back({col[pth][i].first, h[col[pth][i].second] - (i == 0 ? h[pth] - 1: h[col[pth][i - 1].second])});
                } else {
                    cur.push_back({col[pth][i].first, h[u] - (i == 0 ? h[pth] - 1: h[col[pth][i - 1].second])});
                    break;
                }
            }
            reverse(cur.begin(), cur.end());
            for (auto p : cur) hv.push_back(p);
            while (!col[pth].empty() && anc(col[pth][0].second, B[id])) col[pth].pop_front();
            col[pth].push_front({C[B[id]], u});
            u = par[st[u]];
        }   
        reverse(hv.begin(), hv.end());
        for (int i = 0; i < hv.size(); ++i) {
            for (int j = i + 1; j < hv.size(); ++j) {
                if (hv[i].first > hv[j].first) ans += hv[i].second * hv[j].second;
            }
        }
        cout << ans << '\n';
    }
}   

Compilation message

construction.cpp: In function 'void dfs(int, int)':
construction.cpp:17:23: warning: comparison between signed and unsigned integer expressions [-Wsign-compare]
     for (int i = 0; i < g[u].size(); ++i) {
                     ~~^~~~~~~~~~~~~
construction.cpp: In function 'int main()':
construction.cpp:97:27: warning: comparison between signed and unsigned integer expressions [-Wsign-compare]
         for (int i = 0; i < hv.size(); ++i) {
                         ~~^~~~~~~~~~~
construction.cpp:98:35: warning: comparison between signed and unsigned integer expressions [-Wsign-compare]
             for (int j = i + 1; j < hv.size(); ++j) {
                                 ~~^~~~~~~~~~~
# Verdict Execution time Memory Grader output
1 Correct 88 ms 70136 KB Output is correct
2 Correct 87 ms 70264 KB Output is correct
3 Correct 80 ms 70108 KB Output is correct
4 Correct 100 ms 70136 KB Output is correct
5 Correct 83 ms 70264 KB Output is correct
6 Correct 86 ms 70176 KB Output is correct
7 Correct 98 ms 70264 KB Output is correct
8 Correct 74 ms 70084 KB Output is correct
9 Correct 79 ms 70264 KB Output is correct
10 Correct 76 ms 70136 KB Output is correct
11 Correct 80 ms 70264 KB Output is correct
12 Correct 82 ms 70392 KB Output is correct
13 Correct 80 ms 70300 KB Output is correct
14 Correct 81 ms 70264 KB Output is correct
15 Correct 81 ms 70264 KB Output is correct
16 Correct 99 ms 70264 KB Output is correct
17 Correct 98 ms 70264 KB Output is correct
18 Correct 98 ms 70264 KB Output is correct
19 Correct 88 ms 70344 KB Output is correct
20 Correct 105 ms 70384 KB Output is correct
21 Correct 97 ms 70208 KB Output is correct
22 Correct 94 ms 70192 KB Output is correct
23 Correct 92 ms 70264 KB Output is correct
24 Correct 99 ms 70272 KB Output is correct
25 Correct 88 ms 70264 KB Output is correct
26 Correct 74 ms 70136 KB Output is correct
27 Correct 102 ms 70264 KB Output is correct
28 Correct 79 ms 70168 KB Output is correct
29 Correct 98 ms 70264 KB Output is correct
30 Correct 86 ms 70264 KB Output is correct
31 Correct 79 ms 70264 KB Output is correct
32 Correct 80 ms 70264 KB Output is correct
33 Correct 80 ms 70264 KB Output is correct
34 Correct 80 ms 70388 KB Output is correct
35 Correct 80 ms 70392 KB Output is correct
36 Correct 81 ms 70288 KB Output is correct
37 Correct 80 ms 70264 KB Output is correct
38 Correct 81 ms 70236 KB Output is correct
39 Correct 81 ms 70264 KB Output is correct
40 Correct 80 ms 70288 KB Output is correct
41 Correct 79 ms 70268 KB Output is correct
42 Correct 80 ms 70264 KB Output is correct
43 Correct 81 ms 70392 KB Output is correct
44 Correct 80 ms 70264 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 88 ms 70136 KB Output is correct
2 Correct 87 ms 70264 KB Output is correct
3 Correct 80 ms 70108 KB Output is correct
4 Correct 100 ms 70136 KB Output is correct
5 Correct 83 ms 70264 KB Output is correct
6 Correct 86 ms 70176 KB Output is correct
7 Correct 98 ms 70264 KB Output is correct
8 Correct 74 ms 70084 KB Output is correct
9 Correct 79 ms 70264 KB Output is correct
10 Correct 76 ms 70136 KB Output is correct
11 Correct 80 ms 70264 KB Output is correct
12 Correct 82 ms 70392 KB Output is correct
13 Correct 80 ms 70300 KB Output is correct
14 Correct 81 ms 70264 KB Output is correct
15 Correct 81 ms 70264 KB Output is correct
16 Correct 99 ms 70264 KB Output is correct
17 Correct 98 ms 70264 KB Output is correct
18 Correct 98 ms 70264 KB Output is correct
19 Correct 88 ms 70344 KB Output is correct
20 Correct 105 ms 70384 KB Output is correct
21 Correct 97 ms 70208 KB Output is correct
22 Correct 94 ms 70192 KB Output is correct
23 Correct 92 ms 70264 KB Output is correct
24 Correct 99 ms 70272 KB Output is correct
25 Correct 88 ms 70264 KB Output is correct
26 Correct 74 ms 70136 KB Output is correct
27 Correct 102 ms 70264 KB Output is correct
28 Correct 79 ms 70168 KB Output is correct
29 Correct 98 ms 70264 KB Output is correct
30 Correct 86 ms 70264 KB Output is correct
31 Correct 79 ms 70264 KB Output is correct
32 Correct 80 ms 70264 KB Output is correct
33 Correct 80 ms 70264 KB Output is correct
34 Correct 80 ms 70388 KB Output is correct
35 Correct 80 ms 70392 KB Output is correct
36 Correct 81 ms 70288 KB Output is correct
37 Correct 80 ms 70264 KB Output is correct
38 Correct 81 ms 70236 KB Output is correct
39 Correct 81 ms 70264 KB Output is correct
40 Correct 80 ms 70288 KB Output is correct
41 Correct 79 ms 70268 KB Output is correct
42 Correct 80 ms 70264 KB Output is correct
43 Correct 81 ms 70392 KB Output is correct
44 Correct 80 ms 70264 KB Output is correct
45 Correct 81 ms 70392 KB Output is correct
46 Correct 88 ms 71488 KB Output is correct
47 Correct 88 ms 71544 KB Output is correct
48 Correct 93 ms 71536 KB Output is correct
49 Correct 80 ms 70776 KB Output is correct
50 Correct 89 ms 70776 KB Output is correct
51 Correct 95 ms 70776 KB Output is correct
52 Correct 90 ms 71584 KB Output is correct
53 Correct 115 ms 71676 KB Output is correct
54 Correct 111 ms 71672 KB Output is correct
55 Correct 115 ms 71672 KB Output is correct
56 Correct 141 ms 71672 KB Output is correct
57 Correct 110 ms 71416 KB Output is correct
58 Correct 108 ms 71528 KB Output is correct
59 Correct 109 ms 71672 KB Output is correct
60 Correct 194 ms 71388 KB Output is correct
61 Correct 109 ms 71544 KB Output is correct
62 Correct 88 ms 71580 KB Output is correct
63 Correct 85 ms 71544 KB Output is correct
64 Correct 99 ms 71432 KB Output is correct
65 Correct 101 ms 71380 KB Output is correct
66 Correct 108 ms 71488 KB Output is correct
67 Correct 108 ms 71420 KB Output is correct
68 Correct 87 ms 70768 KB Output is correct
69 Correct 93 ms 71620 KB Output is correct
70 Correct 94 ms 71800 KB Output is correct
71 Correct 85 ms 71672 KB Output is correct
72 Correct 104 ms 71544 KB Output is correct
73 Correct 88 ms 71416 KB Output is correct
74 Correct 85 ms 71544 KB Output is correct
75 Correct 86 ms 71544 KB Output is correct
76 Correct 87 ms 71536 KB Output is correct
77 Correct 87 ms 71416 KB Output is correct
78 Correct 86 ms 71684 KB Output is correct
79 Correct 87 ms 71496 KB Output is correct
80 Correct 104 ms 71544 KB Output is correct
81 Correct 112 ms 71792 KB Output is correct
82 Correct 106 ms 71552 KB Output is correct
83 Correct 87 ms 71408 KB Output is correct
84 Correct 105 ms 71544 KB Output is correct
85 Correct 85 ms 71416 KB Output is correct
86 Correct 86 ms 71544 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 88 ms 70136 KB Output is correct
2 Correct 87 ms 70264 KB Output is correct
3 Correct 80 ms 70108 KB Output is correct
4 Correct 100 ms 70136 KB Output is correct
5 Correct 83 ms 70264 KB Output is correct
6 Correct 86 ms 70176 KB Output is correct
7 Correct 98 ms 70264 KB Output is correct
8 Correct 74 ms 70084 KB Output is correct
9 Correct 79 ms 70264 KB Output is correct
10 Correct 76 ms 70136 KB Output is correct
11 Correct 80 ms 70264 KB Output is correct
12 Correct 82 ms 70392 KB Output is correct
13 Correct 80 ms 70300 KB Output is correct
14 Correct 81 ms 70264 KB Output is correct
15 Correct 81 ms 70264 KB Output is correct
16 Correct 99 ms 70264 KB Output is correct
17 Correct 98 ms 70264 KB Output is correct
18 Correct 98 ms 70264 KB Output is correct
19 Correct 88 ms 70344 KB Output is correct
20 Correct 105 ms 70384 KB Output is correct
21 Correct 97 ms 70208 KB Output is correct
22 Correct 94 ms 70192 KB Output is correct
23 Correct 92 ms 70264 KB Output is correct
24 Correct 99 ms 70272 KB Output is correct
25 Correct 88 ms 70264 KB Output is correct
26 Correct 74 ms 70136 KB Output is correct
27 Correct 102 ms 70264 KB Output is correct
28 Correct 79 ms 70168 KB Output is correct
29 Correct 98 ms 70264 KB Output is correct
30 Correct 86 ms 70264 KB Output is correct
31 Correct 79 ms 70264 KB Output is correct
32 Correct 80 ms 70264 KB Output is correct
33 Correct 80 ms 70264 KB Output is correct
34 Correct 80 ms 70388 KB Output is correct
35 Correct 80 ms 70392 KB Output is correct
36 Correct 81 ms 70288 KB Output is correct
37 Correct 80 ms 70264 KB Output is correct
38 Correct 81 ms 70236 KB Output is correct
39 Correct 81 ms 70264 KB Output is correct
40 Correct 80 ms 70288 KB Output is correct
41 Correct 79 ms 70268 KB Output is correct
42 Correct 80 ms 70264 KB Output is correct
43 Correct 81 ms 70392 KB Output is correct
44 Correct 80 ms 70264 KB Output is correct
45 Correct 81 ms 70392 KB Output is correct
46 Correct 88 ms 71488 KB Output is correct
47 Correct 88 ms 71544 KB Output is correct
48 Correct 93 ms 71536 KB Output is correct
49 Correct 80 ms 70776 KB Output is correct
50 Correct 89 ms 70776 KB Output is correct
51 Correct 95 ms 70776 KB Output is correct
52 Correct 90 ms 71584 KB Output is correct
53 Correct 115 ms 71676 KB Output is correct
54 Correct 111 ms 71672 KB Output is correct
55 Correct 115 ms 71672 KB Output is correct
56 Correct 141 ms 71672 KB Output is correct
57 Correct 110 ms 71416 KB Output is correct
58 Correct 108 ms 71528 KB Output is correct
59 Correct 109 ms 71672 KB Output is correct
60 Correct 194 ms 71388 KB Output is correct
61 Correct 109 ms 71544 KB Output is correct
62 Correct 88 ms 71580 KB Output is correct
63 Correct 85 ms 71544 KB Output is correct
64 Correct 99 ms 71432 KB Output is correct
65 Correct 101 ms 71380 KB Output is correct
66 Correct 108 ms 71488 KB Output is correct
67 Correct 108 ms 71420 KB Output is correct
68 Correct 87 ms 70768 KB Output is correct
69 Correct 93 ms 71620 KB Output is correct
70 Correct 94 ms 71800 KB Output is correct
71 Correct 85 ms 71672 KB Output is correct
72 Correct 104 ms 71544 KB Output is correct
73 Correct 88 ms 71416 KB Output is correct
74 Correct 85 ms 71544 KB Output is correct
75 Correct 86 ms 71544 KB Output is correct
76 Correct 87 ms 71536 KB Output is correct
77 Correct 87 ms 71416 KB Output is correct
78 Correct 86 ms 71684 KB Output is correct
79 Correct 87 ms 71496 KB Output is correct
80 Correct 104 ms 71544 KB Output is correct
81 Correct 112 ms 71792 KB Output is correct
82 Correct 106 ms 71552 KB Output is correct
83 Correct 87 ms 71408 KB Output is correct
84 Correct 105 ms 71544 KB Output is correct
85 Correct 85 ms 71416 KB Output is correct
86 Correct 86 ms 71544 KB Output is correct
87 Correct 124 ms 73644 KB Output is correct
88 Correct 169 ms 80888 KB Output is correct
89 Correct 460 ms 105792 KB Output is correct
90 Correct 448 ms 105896 KB Output is correct
91 Correct 542 ms 105888 KB Output is correct
92 Correct 183 ms 87664 KB Output is correct
93 Correct 179 ms 87664 KB Output is correct
94 Correct 184 ms 87816 KB Output is correct
95 Correct 1280 ms 110652 KB Output is correct
96 Execution timed out 2071 ms 111180 KB Time limit exceeded
97 Halted 0 ms 0 KB -