oj.uz

Submission #486434

# Submission time Handle Problem Language Result Execution time Memory
486434 2021-11-11T16:38:32 Z blue Construction of Highway (JOI18_construction) C++17
100 / 100
 259 ms 86380 KB 
#include <iostream>
#include <vector>
#include <algorithm>
#include <deque>
using namespace std;

const int maxN = 100'000;

using vi = vector<int>;
using ll = long long;
using vll = vector<ll>;
using vvi = vector<vi>;
using pii = pair<int, int>; //liveliness, count
using vpii = vector<pii>;

int N;
vi C(1+maxN);

vi A(maxN), B(maxN);

vi parent(1+maxN, 0);
vi childlist[1+maxN];

vi subtree(1+maxN, 1);

vi chain(1+maxN, 0);
int chain_ct = 0;

vi chain_head(1+maxN, 0);

deque<pii> chain_list[1+maxN];

vi depth(1+maxN, 0);

void dfs(int u)
{
    int main_child = -1;
    for(int v: childlist[u])
    {
        depth[v] = 1 + depth[u];
        dfs(v);
        subtree[u] += subtree[v];

        if(main_child == -1 || subtree[v] > subtree[main_child])
            main_child = v;
    }

    if(main_child == -1)
    {
        chain_ct++;
        chain[u] = chain_ct;
    }
    else
        chain[u] = chain[main_child];

    chain_head[ chain[u] ] = u;
}



deque<pii> lst;


int main()
{
    ios_base::sync_with_stdio(false);
    cin.tie(NULL);

    cin >> N;
    for(int i = 1; i <= N; i++) cin >> C[i];

    for(int j = 1; j <= N-1; j++)
    {
        cin >> A[j] >> B[j];

        parent[B[j]] = A[j];
        childlist[A[j]].push_back(B[j]);
    }

    dfs(1);

    // for(int i = 1; i <= N; i++) cerr << chain[i] << ' ';
    // cerr << '\n';

    chain_list[ chain[1] ].push_back(make_pair(C[1], 1));

    for(int j = 1; j <= N-1; j++)
    {
        // cerr << "\n\n\n";
        // cerr << "j = " << j << ": \n";
        lst.clear();
        // cerr << A[j] << " -> " << B[j] << '\n';

        vpii query_markers;

        for(int c = A[j]; c != 0; c = parent[ chain_head[ chain[ c ] ] ])
        {

            // cerr << "querying vertex: " << c << ", " << depth[c] - depth[ chain_head[ chain[c] ] ] + 1 << "\n";
            query_markers.push_back(make_pair(chain[c], depth[c] - depth[ chain_head[ chain[c] ] ] + 1));
        }

        // reverse(query_markers.begin(), query_markers.end());

        // for(int c = chain_head[ chain[A[j]] ]; c != 0; c = chain_head[ chain[ parent[c] ] ])
        // {
        //     query_list.push_back(chain[c]);
        //     // cerr << "getting from node " << c << "\n";
        //     // for(pii l: chain_list[chain[c]])
        //     //     lst.push_front(l);
        // }

        reverse(query_markers.begin(), query_markers.end());

        for(auto q: query_markers)
        {
            int f = q.second;

            int cf = 0;
            for(pii l: chain_list[q.first])
            {
                int r_cf = min(f-cf, l.second);

                cf += r_cf;

                // lst.push_back(l);
                lst.push_back(make_pair(l.first, r_cf));

                if(cf == f) break;
            }
        }

        // reverse(lst.begin(), lst.end());

        int ls = int(lst.size());

        // for(pii q: lst) cerr << q.first << ' ' << q.second << " | ";
        // cerr << '\n';


        vi I(ls);
        for(int i = 0; i < ls; i++)
        {
            I[i] = i;
        }

        sort(I.begin(), I.end(), [] (int u, int v)
        {
            if(lst[u].first != lst[v].first) return lst[u].first > lst[v].first;
            else return u > v;
        });

        ll ans = 0;

        vll BIT(1 + ls, 0);

        for(int i:I)
        {
            for(int q = i+1; q >= 1; q -= q&-q)
                ans += BIT[q] * lst[i].second;

            for(int q = i+1; q <= ls; q += q&-q)
                BIT[q] += lst[i].second;
        }

        cout << ans << '\n';

        chain_list[chain[B[j]]].push_back(make_pair(C[B[j]], 1));

        deque<pii> update_chains;

        for(int c = B[j]; c != 0; c = parent[ chain_head[ chain[c] ] ])
        {
            // cerr << "updating vertex " << c << '\n';
            update_chains.push_front(make_pair(chain[c], depth[c] - depth[ chain_head[ chain[c] ] ] + 1));
        }

        for(pii u: update_chains)
        {
            // cerr << "u = " << u.first << ' ' << u.second << '\n';
            int origin_remain = u.second;
            int remain = u.second;
            int c = u.first;

            while(remain > 0)
            {
                int rx = chain_list[c][0].second;
                int r = min(remain, rx);
                chain_list[c][0].second -= r;
                remain -= r;

                if(chain_list[c][0].second == 0)
                    chain_list[c].pop_front();
            }

            chain_list[c].push_front(make_pair(C[B[j]], origin_remain));

            // cerr << "pushing " << origin_remain << " of " << C[B[j]] << " at the head of chain " << c << '\n';
        }

        // for(int c = B[j]; c != 0; c = parent[ chain_head[ chain[c] ] ])
        // {
        //     cerr << "updating " << chain[c] << " = " << C[B[j]] << ", " << depth[c] - depth[ chain_head[ chain[c] ] ] + 1 << '\n';
        //     chain_list[chain[c]].clear();
        //     chain_list[chain[c]].push_back(make_pair(C[B[j]], depth[c] - depth[ chain_head[ chain[c] ] ] + 1));
        // }
    }
}

Subtask #1
7.0 / 7.0

# Verdict Execution time Memory Grader output
1 Correct 41 ms 73028 KB Output is correct
2 Correct 39 ms 73036 KB Output is correct
3 Correct 40 ms 73036 KB Output is correct
4 Correct 41 ms 73132 KB Output is correct
5 Correct 40 ms 73036 KB Output is correct
6 Correct 40 ms 73036 KB Output is correct
7 Correct 39 ms 73084 KB Output is correct
8 Correct 42 ms 73104 KB Output is correct
9 Correct 42 ms 73160 KB Output is correct
10 Correct 45 ms 73144 KB Output is correct
11 Correct 39 ms 73160 KB Output is correct
12 Correct 41 ms 73216 KB Output is correct
13 Correct 40 ms 73028 KB Output is correct
14 Correct 40 ms 73164 KB Output is correct
15 Correct 40 ms 73108 KB Output is correct
16 Correct 40 ms 73036 KB Output is correct
17 Correct 39 ms 73036 KB Output is correct
18 Correct 40 ms 73036 KB Output is correct
19 Correct 40 ms 73076 KB Output is correct
20 Correct 40 ms 73068 KB Output is correct
21 Correct 40 ms 73048 KB Output is correct
22 Correct 40 ms 73108 KB Output is correct
23 Correct 41 ms 73032 KB Output is correct
24 Correct 41 ms 73052 KB Output is correct
25 Correct 42 ms 73120 KB Output is correct
26 Correct 44 ms 73064 KB Output is correct
27 Correct 41 ms 73140 KB Output is correct
28 Correct 40 ms 73044 KB Output is correct
29 Correct 44 ms 73076 KB Output is correct
30 Correct 40 ms 73036 KB Output is correct
31 Correct 44 ms 73036 KB Output is correct
32 Correct 40 ms 73076 KB Output is correct
33 Correct 40 ms 73028 KB Output is correct
34 Correct 40 ms 73032 KB Output is correct
35 Correct 39 ms 73148 KB Output is correct
36 Correct 40 ms 73024 KB Output is correct
37 Correct 40 ms 73076 KB Output is correct
38 Correct 40 ms 73028 KB Output is correct
39 Correct 40 ms 73116 KB Output is correct
40 Correct 44 ms 73028 KB Output is correct
41 Correct 40 ms 73036 KB Output is correct
42 Correct 40 ms 73140 KB Output is correct
43 Correct 40 ms 73140 KB Output is correct
44 Correct 42 ms 73028 KB Output is correct

Subtask #2
9.0 / 9.0

# Verdict Execution time Memory Grader output
1 Correct 41 ms 73028 KB Output is correct
2 Correct 39 ms 73036 KB Output is correct
3 Correct 40 ms 73036 KB Output is correct
4 Correct 41 ms 73132 KB Output is correct
5 Correct 40 ms 73036 KB Output is correct
6 Correct 40 ms 73036 KB Output is correct
7 Correct 39 ms 73084 KB Output is correct
8 Correct 42 ms 73104 KB Output is correct
9 Correct 42 ms 73160 KB Output is correct
10 Correct 45 ms 73144 KB Output is correct
11 Correct 39 ms 73160 KB Output is correct
12 Correct 41 ms 73216 KB Output is correct
13 Correct 40 ms 73028 KB Output is correct
14 Correct 40 ms 73164 KB Output is correct
15 Correct 40 ms 73108 KB Output is correct
16 Correct 40 ms 73036 KB Output is correct
17 Correct 39 ms 73036 KB Output is correct
18 Correct 40 ms 73036 KB Output is correct
19 Correct 40 ms 73076 KB Output is correct
20 Correct 40 ms 73068 KB Output is correct
21 Correct 40 ms 73048 KB Output is correct
22 Correct 40 ms 73108 KB Output is correct
23 Correct 41 ms 73032 KB Output is correct
24 Correct 41 ms 73052 KB Output is correct
25 Correct 42 ms 73120 KB Output is correct
26 Correct 44 ms 73064 KB Output is correct
27 Correct 41 ms 73140 KB Output is correct
28 Correct 40 ms 73044 KB Output is correct
29 Correct 44 ms 73076 KB Output is correct
30 Correct 40 ms 73036 KB Output is correct
31 Correct 44 ms 73036 KB Output is correct
32 Correct 40 ms 73076 KB Output is correct
33 Correct 40 ms 73028 KB Output is correct
34 Correct 40 ms 73032 KB Output is correct
35 Correct 39 ms 73148 KB Output is correct
36 Correct 40 ms 73024 KB Output is correct
37 Correct 40 ms 73076 KB Output is correct
38 Correct 40 ms 73028 KB Output is correct
39 Correct 40 ms 73116 KB Output is correct
40 Correct 44 ms 73028 KB Output is correct
41 Correct 40 ms 73036 KB Output is correct
42 Correct 40 ms 73140 KB Output is correct
43 Correct 40 ms 73140 KB Output is correct
44 Correct 42 ms 73028 KB Output is correct
45 Correct 42 ms 73028 KB Output is correct
46 Correct 44 ms 73112 KB Output is correct
47 Correct 44 ms 73184 KB Output is correct
48 Correct 45 ms 73216 KB Output is correct
49 Correct 42 ms 73544 KB Output is correct
50 Correct 42 ms 73548 KB Output is correct
51 Correct 42 ms 73592 KB Output is correct
52 Correct 43 ms 73412 KB Output is correct
53 Correct 43 ms 73348 KB Output is correct
54 Correct 44 ms 73412 KB Output is correct
55 Correct 43 ms 73412 KB Output is correct
56 Correct 45 ms 73348 KB Output is correct
57 Correct 48 ms 73140 KB Output is correct
58 Correct 46 ms 73164 KB Output is correct
59 Correct 46 ms 73268 KB Output is correct
60 Correct 46 ms 73216 KB Output is correct
61 Correct 43 ms 73396 KB Output is correct
62 Correct 43 ms 73324 KB Output is correct
63 Correct 43 ms 73332 KB Output is correct
64 Correct 44 ms 73224 KB Output is correct
65 Correct 44 ms 73152 KB Output is correct
66 Correct 45 ms 73172 KB Output is correct
67 Correct 46 ms 73156 KB Output is correct
68 Correct 47 ms 73596 KB Output is correct
69 Correct 43 ms 73412 KB Output is correct
70 Correct 43 ms 73348 KB Output is correct
71 Correct 46 ms 73308 KB Output is correct
72 Correct 44 ms 73220 KB Output is correct
73 Correct 46 ms 73248 KB Output is correct
74 Correct 44 ms 73292 KB Output is correct
75 Correct 43 ms 73280 KB Output is correct
76 Correct 44 ms 73292 KB Output is correct
77 Correct 45 ms 73156 KB Output is correct
78 Correct 44 ms 73220 KB Output is correct
79 Correct 43 ms 73168 KB Output is correct
80 Correct 43 ms 73292 KB Output is correct
81 Correct 43 ms 73304 KB Output is correct
82 Correct 43 ms 73284 KB Output is correct
83 Correct 43 ms 73160 KB Output is correct
84 Correct 43 ms 73284 KB Output is correct
85 Correct 46 ms 73180 KB Output is correct
86 Correct 46 ms 73228 KB Output is correct

Subtask #3
84.0 / 84.0

# Verdict Execution time Memory Grader output
1 Correct 41 ms 73028 KB Output is correct
2 Correct 39 ms 73036 KB Output is correct
3 Correct 40 ms 73036 KB Output is correct
4 Correct 41 ms 73132 KB Output is correct
5 Correct 40 ms 73036 KB Output is correct
6 Correct 40 ms 73036 KB Output is correct
7 Correct 39 ms 73084 KB Output is correct
8 Correct 42 ms 73104 KB Output is correct
9 Correct 42 ms 73160 KB Output is correct
10 Correct 45 ms 73144 KB Output is correct
11 Correct 39 ms 73160 KB Output is correct
12 Correct 41 ms 73216 KB Output is correct
13 Correct 40 ms 73028 KB Output is correct
14 Correct 40 ms 73164 KB Output is correct
15 Correct 40 ms 73108 KB Output is correct
16 Correct 40 ms 73036 KB Output is correct
17 Correct 39 ms 73036 KB Output is correct
18 Correct 40 ms 73036 KB Output is correct
19 Correct 40 ms 73076 KB Output is correct
20 Correct 40 ms 73068 KB Output is correct
21 Correct 40 ms 73048 KB Output is correct
22 Correct 40 ms 73108 KB Output is correct
23 Correct 41 ms 73032 KB Output is correct
24 Correct 41 ms 73052 KB Output is correct
25 Correct 42 ms 73120 KB Output is correct
26 Correct 44 ms 73064 KB Output is correct
27 Correct 41 ms 73140 KB Output is correct
28 Correct 40 ms 73044 KB Output is correct
29 Correct 44 ms 73076 KB Output is correct
30 Correct 40 ms 73036 KB Output is correct
31 Correct 44 ms 73036 KB Output is correct
32 Correct 40 ms 73076 KB Output is correct
33 Correct 40 ms 73028 KB Output is correct
34 Correct 40 ms 73032 KB Output is correct
35 Correct 39 ms 73148 KB Output is correct
36 Correct 40 ms 73024 KB Output is correct
37 Correct 40 ms 73076 KB Output is correct
38 Correct 40 ms 73028 KB Output is correct
39 Correct 40 ms 73116 KB Output is correct
40 Correct 44 ms 73028 KB Output is correct
41 Correct 40 ms 73036 KB Output is correct
42 Correct 40 ms 73140 KB Output is correct
43 Correct 40 ms 73140 KB Output is correct
44 Correct 42 ms 73028 KB Output is correct
45 Correct 42 ms 73028 KB Output is correct
46 Correct 44 ms 73112 KB Output is correct
47 Correct 44 ms 73184 KB Output is correct
48 Correct 45 ms 73216 KB Output is correct
49 Correct 42 ms 73544 KB Output is correct
50 Correct 42 ms 73548 KB Output is correct
51 Correct 42 ms 73592 KB Output is correct
52 Correct 43 ms 73412 KB Output is correct
53 Correct 43 ms 73348 KB Output is correct
54 Correct 44 ms 73412 KB Output is correct
55 Correct 43 ms 73412 KB Output is correct
56 Correct 45 ms 73348 KB Output is correct
57 Correct 48 ms 73140 KB Output is correct
58 Correct 46 ms 73164 KB Output is correct
59 Correct 46 ms 73268 KB Output is correct
60 Correct 46 ms 73216 KB Output is correct
61 Correct 43 ms 73396 KB Output is correct
62 Correct 43 ms 73324 KB Output is correct
63 Correct 43 ms 73332 KB Output is correct
64 Correct 44 ms 73224 KB Output is correct
65 Correct 44 ms 73152 KB Output is correct
66 Correct 45 ms 73172 KB Output is correct
67 Correct 46 ms 73156 KB Output is correct
68 Correct 47 ms 73596 KB Output is correct
69 Correct 43 ms 73412 KB Output is correct
70 Correct 43 ms 73348 KB Output is correct
71 Correct 46 ms 73308 KB Output is correct
72 Correct 44 ms 73220 KB Output is correct
73 Correct 46 ms 73248 KB Output is correct
74 Correct 44 ms 73292 KB Output is correct
75 Correct 43 ms 73280 KB Output is correct
76 Correct 44 ms 73292 KB Output is correct
77 Correct 45 ms 73156 KB Output is correct
78 Correct 44 ms 73220 KB Output is correct
79 Correct 43 ms 73168 KB Output is correct
80 Correct 43 ms 73292 KB Output is correct
81 Correct 43 ms 73304 KB Output is correct
82 Correct 43 ms 73284 KB Output is correct
83 Correct 43 ms 73160 KB Output is correct
84 Correct 43 ms 73284 KB Output is correct
85 Correct 46 ms 73180 KB Output is correct
86 Correct 46 ms 73228 KB Output is correct
87 Correct 52 ms 73420 KB Output is correct
88 Correct 82 ms 74188 KB Output is correct
89 Correct 182 ms 77092 KB Output is correct
90 Correct 183 ms 77124 KB Output is correct
91 Correct 193 ms 77132 KB Output is correct
92 Correct 112 ms 86340 KB Output is correct
93 Correct 112 ms 86380 KB Output is correct
94 Correct 121 ms 86340 KB Output is correct
95 Correct 120 ms 81988 KB Output is correct
96 Correct 128 ms 82260 KB Output is correct
97 Correct 123 ms 82220 KB Output is correct
98 Correct 123 ms 82244 KB Output is correct
99 Correct 116 ms 81200 KB Output is correct
100 Correct 213 ms 77252 KB Output is correct
101 Correct 250 ms 77524 KB Output is correct
102 Correct 259 ms 77588 KB Output is correct
103 Correct 250 ms 77460 KB Output is correct
104 Correct 121 ms 80952 KB Output is correct
105 Correct 118 ms 81020 KB Output is correct
106 Correct 135 ms 80936 KB Output is correct
107 Correct 172 ms 76220 KB Output is correct
108 Correct 177 ms 76364 KB Output is correct
109 Correct 184 ms 76652 KB Output is correct
110 Correct 101 ms 85772 KB Output is correct
111 Correct 115 ms 81924 KB Output is correct
112 Correct 121 ms 81700 KB Output is correct
113 Correct 106 ms 80360 KB Output is correct
114 Correct 230 ms 77324 KB Output is correct
115 Correct 247 ms 76896 KB Output is correct
116 Correct 114 ms 80324 KB Output is correct
117 Correct 116 ms 78908 KB Output is correct
118 Correct 114 ms 78052 KB Output is correct
119 Correct 119 ms 77720 KB Output is correct
120 Correct 108 ms 78276 KB Output is correct
121 Correct 112 ms 77764 KB Output is correct
122 Correct 112 ms 77488 KB Output is correct
123 Correct 125 ms 78788 KB Output is correct
124 Correct 123 ms 78048 KB Output is correct
125 Correct 123 ms 77768 KB Output is correct
126 Correct 119 ms 78672 KB Output is correct
127 Correct 123 ms 77764 KB Output is correct
128 Correct 121 ms 77508 KB Output is correct