Submission #46593

# Submission time Handle Problem Language Result Execution time Memory
46593 2018-04-21T16:21:22 Z nickyrio Construction of Highway (JOI18_construction) C++17
100 / 100
570 ms 152164 KB
//https://oj.uz/problem/view/JOI18_construction
#include <bits/stdc++.h>
#define FOR(i, a, b) for (int i = (a); i <= (b); ++i)
#define FORD(i, a, b) for (int i = (a); i >= (b); --i)
#define REP(i, a) for (int i = 0; i < (a); ++i)
#define DEBUG(x) { cerr << #x << '=' << x << endl; }
#define Arr(a, l, r) { cerr << #a << " = {"; FOR(_, l, r) cerr << ' ' << a[_]; cerr << "}\n"; }
#define N 100100
#define pp pair<int, int>
#define endl '\n'
#define IO ios::sync_with_stdio(false); cin.tie(NULL); cout.tie(NULL)
#define taskname ""
#define bit(S, i) (((S) >> (i)) & 1)
using namespace std;

int n, u[N], v[N], p[N], d[N], c[N], nChild[N], head[N];
vector<int> e[N];

void dfs(int u) {
    nChild[u] = 1;
    for (int v : e[u]) {
        p[v] = u;
        d[v] = d[u] + 1;
        dfs(v);
        nChild[u] += nChild[v];
    }
}

void hld(int u) {
    if (head[u] == 0) head[u] = u;
    int mx = 0, special = -1;
    for (int v : e[u]) {
        if (mx < nChild[v]) {
            special = v; mx = nChild[v];
        }
    }
    for (int v : e[u]) {
        if (v == special) head[v] = head[u];
        else head[v] = v;
        hld(v);
    }
}

long long BIT[N];
long long GetBIT(int u) {
    long long ans = 0;
    for (; u > 0; u -= u & -u) ans += BIT[u];
    return ans;
}

void UpBIT(int u, long long val) {
    for (; u <= n; u += u & -u) BIT[u] += val;
}

struct Data {
    int depth, val, cnt;
};
deque<Data> deq[N];
long long Query(int u) {
    long long ans = 0;
    vector<pp> history;

    while (u) {
        int id = head[u];
        vector<Data> temp;
        int depth = d[u];
        while (!deq[id].empty() && deq[id].back().depth < depth) {
            temp.push_back(deq[id].back());
            deq[id].pop_back();
        }
        if (!deq[id].empty()) {
            Data t = deq[id].back(); deq[id].pop_back();
            int newCnt = t.depth - depth;
            t.cnt -= newCnt;
            temp.push_back(t);
            t.cnt = newCnt;
            if (t.cnt) deq[id].push_back(t);
        }
        while (!temp.empty()) {
            Data t = temp.back(); temp.pop_back();
            ans += 1ll * t.cnt * GetBIT(t.val - 1);
            UpBIT(t.val, t.cnt);
            history.push_back(pp(t.val, t.cnt));
        }
        u = p[head[u]];
    }
    for (pp x : history) UpBIT(x.first, -x.second);
    return ans;
}

void Update(int u) {
    Data x;
    x.val = c[u];
    while (u) {
        int id = head[u];
        x.depth = d[u];
        x.cnt = d[u] - d[p[head[u]]];
       // DEBUG(deq[id].size());
        deq[id].push_back(x);
        u = p[head[u]];
    }
}

int ranking[N];

int main() {
    #ifdef NERO
    freopen("test.inp","r",stdin);
    freopen("test.out","w",stdout);
    double stime = clock();
    #else
        //freopen(taskname".inp","r",stdin);
        //freopen(taskname".out","w",stdout);
    #endif //NERO
    IO;
    cin >> n;
    FOR(i, 1, n) cin >> c[i];
    FOR(i, 1, n) ranking[i] = c[i];
    sort(ranking + 1, ranking + n + 1);
    FOR(i, 1, n) {
        c[i] = lower_bound(ranking + 1, ranking + n + 1, c[i]) - ranking;
    }
    FOR(i, 2, n) {
        cin >> u[i] >> v[i];
        e[u[i]].push_back(v[i]);
    }
    d[1] = 1;
    dfs(1);
    hld(1);
    FOR(i, 2, n) {
        cout << Query(u[i]) << '\n';
        Update(v[i]);
    }
    #ifdef NERO
    double etime = clock();
    cerr << "Execution time: " << (etime - stime) / CLOCKS_PER_SEC * 1000 << " ms.\n";
    #endif // NERO
}
# Verdict Execution time Memory Grader output
1 Correct 62 ms 68600 KB Output is correct
2 Correct 64 ms 68600 KB Output is correct
3 Correct 62 ms 68804 KB Output is correct
4 Correct 63 ms 68804 KB Output is correct
5 Correct 70 ms 68808 KB Output is correct
6 Correct 65 ms 68880 KB Output is correct
7 Correct 63 ms 69036 KB Output is correct
8 Correct 62 ms 69036 KB Output is correct
9 Correct 61 ms 69056 KB Output is correct
10 Correct 62 ms 69084 KB Output is correct
11 Correct 64 ms 69112 KB Output is correct
12 Correct 62 ms 69284 KB Output is correct
13 Correct 61 ms 69284 KB Output is correct
14 Correct 61 ms 69284 KB Output is correct
15 Correct 62 ms 69284 KB Output is correct
16 Correct 60 ms 69284 KB Output is correct
17 Correct 63 ms 69284 KB Output is correct
18 Correct 61 ms 69284 KB Output is correct
19 Correct 64 ms 69284 KB Output is correct
20 Correct 69 ms 69284 KB Output is correct
21 Correct 63 ms 69284 KB Output is correct
22 Correct 63 ms 69284 KB Output is correct
23 Correct 62 ms 69284 KB Output is correct
24 Correct 61 ms 69284 KB Output is correct
25 Correct 62 ms 69284 KB Output is correct
26 Correct 62 ms 69284 KB Output is correct
27 Correct 61 ms 69284 KB Output is correct
28 Correct 62 ms 69292 KB Output is correct
29 Correct 62 ms 69404 KB Output is correct
30 Correct 62 ms 69404 KB Output is correct
31 Correct 64 ms 69404 KB Output is correct
32 Correct 71 ms 69404 KB Output is correct
33 Correct 63 ms 69420 KB Output is correct
34 Correct 62 ms 69432 KB Output is correct
35 Correct 73 ms 69432 KB Output is correct
36 Correct 64 ms 69484 KB Output is correct
37 Correct 63 ms 69484 KB Output is correct
38 Correct 62 ms 69484 KB Output is correct
39 Correct 66 ms 69512 KB Output is correct
40 Correct 64 ms 69512 KB Output is correct
41 Correct 61 ms 69512 KB Output is correct
42 Correct 62 ms 69512 KB Output is correct
43 Correct 64 ms 69544 KB Output is correct
44 Correct 62 ms 69544 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 62 ms 68600 KB Output is correct
2 Correct 64 ms 68600 KB Output is correct
3 Correct 62 ms 68804 KB Output is correct
4 Correct 63 ms 68804 KB Output is correct
5 Correct 70 ms 68808 KB Output is correct
6 Correct 65 ms 68880 KB Output is correct
7 Correct 63 ms 69036 KB Output is correct
8 Correct 62 ms 69036 KB Output is correct
9 Correct 61 ms 69056 KB Output is correct
10 Correct 62 ms 69084 KB Output is correct
11 Correct 64 ms 69112 KB Output is correct
12 Correct 62 ms 69284 KB Output is correct
13 Correct 61 ms 69284 KB Output is correct
14 Correct 61 ms 69284 KB Output is correct
15 Correct 62 ms 69284 KB Output is correct
16 Correct 60 ms 69284 KB Output is correct
17 Correct 63 ms 69284 KB Output is correct
18 Correct 61 ms 69284 KB Output is correct
19 Correct 64 ms 69284 KB Output is correct
20 Correct 69 ms 69284 KB Output is correct
21 Correct 63 ms 69284 KB Output is correct
22 Correct 63 ms 69284 KB Output is correct
23 Correct 62 ms 69284 KB Output is correct
24 Correct 61 ms 69284 KB Output is correct
25 Correct 62 ms 69284 KB Output is correct
26 Correct 62 ms 69284 KB Output is correct
27 Correct 61 ms 69284 KB Output is correct
28 Correct 62 ms 69292 KB Output is correct
29 Correct 62 ms 69404 KB Output is correct
30 Correct 62 ms 69404 KB Output is correct
31 Correct 64 ms 69404 KB Output is correct
32 Correct 71 ms 69404 KB Output is correct
33 Correct 63 ms 69420 KB Output is correct
34 Correct 62 ms 69432 KB Output is correct
35 Correct 73 ms 69432 KB Output is correct
36 Correct 64 ms 69484 KB Output is correct
37 Correct 63 ms 69484 KB Output is correct
38 Correct 62 ms 69484 KB Output is correct
39 Correct 66 ms 69512 KB Output is correct
40 Correct 64 ms 69512 KB Output is correct
41 Correct 61 ms 69512 KB Output is correct
42 Correct 62 ms 69512 KB Output is correct
43 Correct 64 ms 69544 KB Output is correct
44 Correct 62 ms 69544 KB Output is correct
45 Correct 63 ms 69596 KB Output is correct
46 Correct 68 ms 69740 KB Output is correct
47 Correct 72 ms 69836 KB Output is correct
48 Correct 69 ms 69892 KB Output is correct
49 Correct 65 ms 70224 KB Output is correct
50 Correct 66 ms 70300 KB Output is correct
51 Correct 66 ms 70376 KB Output is correct
52 Correct 70 ms 70456 KB Output is correct
53 Correct 76 ms 70456 KB Output is correct
54 Correct 72 ms 70512 KB Output is correct
55 Correct 73 ms 70532 KB Output is correct
56 Correct 66 ms 70656 KB Output is correct
57 Correct 81 ms 70656 KB Output is correct
58 Correct 73 ms 70656 KB Output is correct
59 Correct 80 ms 70852 KB Output is correct
60 Correct 75 ms 70852 KB Output is correct
61 Correct 121 ms 70948 KB Output is correct
62 Correct 67 ms 71044 KB Output is correct
63 Correct 65 ms 71124 KB Output is correct
64 Correct 69 ms 71124 KB Output is correct
65 Correct 74 ms 71124 KB Output is correct
66 Correct 72 ms 71164 KB Output is correct
67 Correct 68 ms 71216 KB Output is correct
68 Correct 64 ms 71608 KB Output is correct
69 Correct 72 ms 71608 KB Output is correct
70 Correct 79 ms 71608 KB Output is correct
71 Correct 69 ms 71608 KB Output is correct
72 Correct 72 ms 71608 KB Output is correct
73 Correct 72 ms 71608 KB Output is correct
74 Correct 84 ms 71608 KB Output is correct
75 Correct 66 ms 71628 KB Output is correct
76 Correct 67 ms 71692 KB Output is correct
77 Correct 67 ms 71756 KB Output is correct
78 Correct 66 ms 71820 KB Output is correct
79 Correct 82 ms 71868 KB Output is correct
80 Correct 65 ms 71920 KB Output is correct
81 Correct 83 ms 72092 KB Output is correct
82 Correct 70 ms 72092 KB Output is correct
83 Correct 72 ms 72112 KB Output is correct
84 Correct 68 ms 72172 KB Output is correct
85 Correct 66 ms 72240 KB Output is correct
86 Correct 78 ms 72396 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 62 ms 68600 KB Output is correct
2 Correct 64 ms 68600 KB Output is correct
3 Correct 62 ms 68804 KB Output is correct
4 Correct 63 ms 68804 KB Output is correct
5 Correct 70 ms 68808 KB Output is correct
6 Correct 65 ms 68880 KB Output is correct
7 Correct 63 ms 69036 KB Output is correct
8 Correct 62 ms 69036 KB Output is correct
9 Correct 61 ms 69056 KB Output is correct
10 Correct 62 ms 69084 KB Output is correct
11 Correct 64 ms 69112 KB Output is correct
12 Correct 62 ms 69284 KB Output is correct
13 Correct 61 ms 69284 KB Output is correct
14 Correct 61 ms 69284 KB Output is correct
15 Correct 62 ms 69284 KB Output is correct
16 Correct 60 ms 69284 KB Output is correct
17 Correct 63 ms 69284 KB Output is correct
18 Correct 61 ms 69284 KB Output is correct
19 Correct 64 ms 69284 KB Output is correct
20 Correct 69 ms 69284 KB Output is correct
21 Correct 63 ms 69284 KB Output is correct
22 Correct 63 ms 69284 KB Output is correct
23 Correct 62 ms 69284 KB Output is correct
24 Correct 61 ms 69284 KB Output is correct
25 Correct 62 ms 69284 KB Output is correct
26 Correct 62 ms 69284 KB Output is correct
27 Correct 61 ms 69284 KB Output is correct
28 Correct 62 ms 69292 KB Output is correct
29 Correct 62 ms 69404 KB Output is correct
30 Correct 62 ms 69404 KB Output is correct
31 Correct 64 ms 69404 KB Output is correct
32 Correct 71 ms 69404 KB Output is correct
33 Correct 63 ms 69420 KB Output is correct
34 Correct 62 ms 69432 KB Output is correct
35 Correct 73 ms 69432 KB Output is correct
36 Correct 64 ms 69484 KB Output is correct
37 Correct 63 ms 69484 KB Output is correct
38 Correct 62 ms 69484 KB Output is correct
39 Correct 66 ms 69512 KB Output is correct
40 Correct 64 ms 69512 KB Output is correct
41 Correct 61 ms 69512 KB Output is correct
42 Correct 62 ms 69512 KB Output is correct
43 Correct 64 ms 69544 KB Output is correct
44 Correct 62 ms 69544 KB Output is correct
45 Correct 63 ms 69596 KB Output is correct
46 Correct 68 ms 69740 KB Output is correct
47 Correct 72 ms 69836 KB Output is correct
48 Correct 69 ms 69892 KB Output is correct
49 Correct 65 ms 70224 KB Output is correct
50 Correct 66 ms 70300 KB Output is correct
51 Correct 66 ms 70376 KB Output is correct
52 Correct 70 ms 70456 KB Output is correct
53 Correct 76 ms 70456 KB Output is correct
54 Correct 72 ms 70512 KB Output is correct
55 Correct 73 ms 70532 KB Output is correct
56 Correct 66 ms 70656 KB Output is correct
57 Correct 81 ms 70656 KB Output is correct
58 Correct 73 ms 70656 KB Output is correct
59 Correct 80 ms 70852 KB Output is correct
60 Correct 75 ms 70852 KB Output is correct
61 Correct 121 ms 70948 KB Output is correct
62 Correct 67 ms 71044 KB Output is correct
63 Correct 65 ms 71124 KB Output is correct
64 Correct 69 ms 71124 KB Output is correct
65 Correct 74 ms 71124 KB Output is correct
66 Correct 72 ms 71164 KB Output is correct
67 Correct 68 ms 71216 KB Output is correct
68 Correct 64 ms 71608 KB Output is correct
69 Correct 72 ms 71608 KB Output is correct
70 Correct 79 ms 71608 KB Output is correct
71 Correct 69 ms 71608 KB Output is correct
72 Correct 72 ms 71608 KB Output is correct
73 Correct 72 ms 71608 KB Output is correct
74 Correct 84 ms 71608 KB Output is correct
75 Correct 66 ms 71628 KB Output is correct
76 Correct 67 ms 71692 KB Output is correct
77 Correct 67 ms 71756 KB Output is correct
78 Correct 66 ms 71820 KB Output is correct
79 Correct 82 ms 71868 KB Output is correct
80 Correct 65 ms 71920 KB Output is correct
81 Correct 83 ms 72092 KB Output is correct
82 Correct 70 ms 72092 KB Output is correct
83 Correct 72 ms 72112 KB Output is correct
84 Correct 68 ms 72172 KB Output is correct
85 Correct 66 ms 72240 KB Output is correct
86 Correct 78 ms 72396 KB Output is correct
87 Correct 83 ms 72828 KB Output is correct
88 Correct 136 ms 74812 KB Output is correct
89 Correct 354 ms 80700 KB Output is correct
90 Correct 347 ms 82812 KB Output is correct
91 Correct 339 ms 85052 KB Output is correct
92 Correct 196 ms 93324 KB Output is correct
93 Correct 213 ms 95268 KB Output is correct
94 Correct 197 ms 97528 KB Output is correct
95 Correct 208 ms 97528 KB Output is correct
96 Correct 211 ms 99164 KB Output is correct
97 Correct 211 ms 101168 KB Output is correct
98 Correct 218 ms 103404 KB Output is correct
99 Correct 199 ms 103976 KB Output is correct
100 Correct 513 ms 103976 KB Output is correct
101 Correct 570 ms 105960 KB Output is correct
102 Correct 533 ms 107980 KB Output is correct
103 Correct 543 ms 110148 KB Output is correct
104 Correct 208 ms 114096 KB Output is correct
105 Correct 211 ms 116164 KB Output is correct
106 Correct 228 ms 118268 KB Output is correct
107 Correct 308 ms 118268 KB Output is correct
108 Correct 328 ms 118528 KB Output is correct
109 Correct 365 ms 120636 KB Output is correct
110 Correct 176 ms 128084 KB Output is correct
111 Correct 198 ms 128084 KB Output is correct
112 Correct 215 ms 129156 KB Output is correct
113 Correct 190 ms 129260 KB Output is correct
114 Correct 488 ms 129260 KB Output is correct
115 Correct 544 ms 130660 KB Output is correct
116 Correct 210 ms 133876 KB Output is correct
117 Correct 231 ms 134656 KB Output is correct
118 Correct 263 ms 135868 KB Output is correct
119 Correct 215 ms 137500 KB Output is correct
120 Correct 205 ms 139700 KB Output is correct
121 Correct 201 ms 140732 KB Output is correct
122 Correct 203 ms 142112 KB Output is correct
123 Correct 224 ms 144596 KB Output is correct
124 Correct 230 ms 145956 KB Output is correct
125 Correct 219 ms 147680 KB Output is correct
126 Correct 206 ms 149668 KB Output is correct
127 Correct 210 ms 150828 KB Output is correct
128 Correct 207 ms 152164 KB Output is correct