oj.uz

Submission #1088906

# Submission time Handle Problem Language Result Execution time Memory
1088906 2024-09-15T13:46:42 Z DobromirAngelov Construction of Highway (JOI18_construction) C++14
100 / 100
 713 ms 114884 KB 
#include<bits/stdc++.h>
#define endl '\n'
#define fi first
#define se second

using namespace std;

const int MAXN=1e5+5;

struct Fenwick
{
    int n;
    int tree[MAXN];

    void init(int _n)
    {
        n=_n;
        fill(tree+1,tree+n+1,0);
    }

    void update(int idx,int val)
    {
        for(;idx<=n;idx+=idx&(-idx))
        {
            tree[idx]+=val;
        }
    }

    int query(int idx)
    {
        int ret=0;
        for(;idx>0;idx-=idx&(-idx))
        {
            ret+=tree[idx];
        }
        return ret;
    }

    int query(int l,int r)
    {
        return query(r)-query(l-1);
    }
};

int n;
int a[MAXN];
pair<int,int> edges[MAXN];
vector<int> adj[MAXN];
int par[MAXN];
int depth[MAXN];
int heavy[MAXN];
int head[MAXN];
int pos[MAXN];
int ptr=1;
deque<pair<int,int> > chain[MAXN];
Fenwick tree;

int dfs(int v)
{
    int sz=1;
    int maxSz=0;
    for(auto u: adj[v])
    {
        depth[u]=depth[v]+1;
        int curSz=dfs(u);
        if(curSz>maxSz)
        {
            maxSz=curSz;
            heavy[v]=u;
        }
        sz+=curSz;
    }
    return sz;
}

void decompose(int v,int h)
{
    head[v]=h;
    pos[v]=pos[h];
    if(heavy[v]) decompose(heavy[v],h);
    for(auto u: adj[v])
    {
        if(u==heavy[v]) continue;
        pos[u]=ptr++;
        decompose(u,u);
    }
}

void HLD()
{
    depth[1]=1;
    dfs(1);

    pos[1]=ptr++;
    decompose(1,1);
}

vector<pair<int,int> > path;
set<int> s;
map<int,int> code;
long long calcInv(int v)
{
    path.clear();
    while(v>=1)
    {
        int h=head[v];
        int len=depth[v]-depth[h]+1;
        vector<pair<int,int> > tmp;
        for(int i=0;i<chain[pos[v]].size();i++)
        {
            auto cur=chain[pos[v]][i];
            tmp.push_back({cur.fi, min(cur.se,len)});
            len-=cur.se;
            if(len<=0) break;
        }
        reverse(tmp.begin(),tmp.end());
        for(auto x: tmp) path.push_back(x);
        v=par[h];
    }

    s.clear();
    for(auto cur: path) s.insert(cur.fi);
    int ptr=0;
    for(auto x: s) code[x]=++ptr;
    for(auto &cur: path) cur.fi=code[cur.fi];

    tree.init(ptr);
    long long ret=0;
    for(auto cur: path)
    {
        ret+=1LL*tree.query(cur.fi-1)*cur.se;
        tree.update(cur.fi,cur.se);
    }

    return ret;
}

void addEdge(int v,int val)
{
    while(v>=1)
    {
        int h=head[v];
        int len=depth[v]-depth[h]+1;
        while(!chain[pos[v]].empty() && len>0)
        {
            auto cur=chain[pos[v]].front();
            chain[pos[v]].pop_front();
            len-=cur.se;
            if(len<0)
            {
               chain[pos[v]].push_front({cur.fi, -len}); 
            }
        }
        len=depth[v]-depth[h]+1;
        chain[pos[v]].push_front({val,len});
        v=par[h];
    }
}

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

    cin>>n;
    for(int i=1;i<=n;i++) cin>>a[i];
    for(int i=1;i<n;i++)
    {
        cin>>edges[i].fi>>edges[i].se;
        adj[edges[i].fi].push_back(edges[i].se);
        par[edges[i].se]=edges[i].fi;
    }

    HLD();

    chain[pos[1]].push_front({a[1],1});
    for(int i=1;i<n;i++)
    {
        cout<<calcInv(edges[i].fi)<<endl;
        addEdge(edges[i].se, a[edges[i].se]);
    }

    return 0;
}

Compilation message

construction.cpp: In function 'long long int calcInv(int)':
construction.cpp:109:22: warning: comparison of integer expressions of different signedness: 'int' and 'std::deque<std::pair<int, int> >::size_type' {aka 'long unsigned int'} [-Wsign-compare]
  109 |         for(int i=0;i<chain[pos[v]].size();i++)
      |                     ~^~~~~~~~~~~~~~~~~~~~~

Subtask #1
7.0 / 7.0

# Verdict Execution time Memory Grader output
1 Correct 29 ms 69972 KB Output is correct
2 Correct 28 ms 69976 KB Output is correct
3 Correct 32 ms 69980 KB Output is correct
4 Correct 35 ms 70228 KB Output is correct
5 Correct 34 ms 70324 KB Output is correct
6 Correct 33 ms 70236 KB Output is correct
7 Correct 35 ms 70224 KB Output is correct
8 Correct 33 ms 70052 KB Output is correct
9 Correct 30 ms 70224 KB Output is correct
10 Correct 34 ms 70228 KB Output is correct
11 Correct 31 ms 70224 KB Output is correct
12 Correct 38 ms 70172 KB Output is correct
13 Correct 33 ms 70232 KB Output is correct
14 Correct 32 ms 70228 KB Output is correct
15 Correct 37 ms 70236 KB Output is correct
16 Correct 36 ms 70236 KB Output is correct
17 Correct 34 ms 70260 KB Output is correct
18 Correct 34 ms 70232 KB Output is correct
19 Correct 44 ms 70300 KB Output is correct
20 Correct 34 ms 70356 KB Output is correct
21 Correct 33 ms 70212 KB Output is correct
22 Correct 33 ms 70228 KB Output is correct
23 Correct 36 ms 70316 KB Output is correct
24 Correct 29 ms 70228 KB Output is correct
25 Correct 31 ms 70236 KB Output is correct
26 Correct 32 ms 70232 KB Output is correct
27 Correct 30 ms 70236 KB Output is correct
28 Correct 34 ms 70236 KB Output is correct
29 Correct 34 ms 70236 KB Output is correct
30 Correct 32 ms 70232 KB Output is correct
31 Correct 31 ms 70236 KB Output is correct
32 Correct 33 ms 70172 KB Output is correct
33 Correct 30 ms 70236 KB Output is correct
34 Correct 35 ms 70308 KB Output is correct
35 Correct 34 ms 70228 KB Output is correct
36 Correct 35 ms 70236 KB Output is correct
37 Correct 37 ms 70236 KB Output is correct
38 Correct 33 ms 70236 KB Output is correct
39 Correct 35 ms 70236 KB Output is correct
40 Correct 36 ms 70232 KB Output is correct
41 Correct 33 ms 70288 KB Output is correct
42 Correct 34 ms 70144 KB Output is correct
43 Correct 33 ms 70240 KB Output is correct
44 Correct 35 ms 70224 KB Output is correct

Subtask #2
9.0 / 9.0

# Verdict Execution time Memory Grader output
1 Correct 29 ms 69972 KB Output is correct
2 Correct 28 ms 69976 KB Output is correct
3 Correct 32 ms 69980 KB Output is correct
4 Correct 35 ms 70228 KB Output is correct
5 Correct 34 ms 70324 KB Output is correct
6 Correct 33 ms 70236 KB Output is correct
7 Correct 35 ms 70224 KB Output is correct
8 Correct 33 ms 70052 KB Output is correct
9 Correct 30 ms 70224 KB Output is correct
10 Correct 34 ms 70228 KB Output is correct
11 Correct 31 ms 70224 KB Output is correct
12 Correct 38 ms 70172 KB Output is correct
13 Correct 33 ms 70232 KB Output is correct
14 Correct 32 ms 70228 KB Output is correct
15 Correct 37 ms 70236 KB Output is correct
16 Correct 36 ms 70236 KB Output is correct
17 Correct 34 ms 70260 KB Output is correct
18 Correct 34 ms 70232 KB Output is correct
19 Correct 44 ms 70300 KB Output is correct
20 Correct 34 ms 70356 KB Output is correct
21 Correct 33 ms 70212 KB Output is correct
22 Correct 33 ms 70228 KB Output is correct
23 Correct 36 ms 70316 KB Output is correct
24 Correct 29 ms 70228 KB Output is correct
25 Correct 31 ms 70236 KB Output is correct
26 Correct 32 ms 70232 KB Output is correct
27 Correct 30 ms 70236 KB Output is correct
28 Correct 34 ms 70236 KB Output is correct
29 Correct 34 ms 70236 KB Output is correct
30 Correct 32 ms 70232 KB Output is correct
31 Correct 31 ms 70236 KB Output is correct
32 Correct 33 ms 70172 KB Output is correct
33 Correct 30 ms 70236 KB Output is correct
34 Correct 35 ms 70308 KB Output is correct
35 Correct 34 ms 70228 KB Output is correct
36 Correct 35 ms 70236 KB Output is correct
37 Correct 37 ms 70236 KB Output is correct
38 Correct 33 ms 70236 KB Output is correct
39 Correct 35 ms 70236 KB Output is correct
40 Correct 36 ms 70232 KB Output is correct
41 Correct 33 ms 70288 KB Output is correct
42 Correct 34 ms 70144 KB Output is correct
43 Correct 33 ms 70240 KB Output is correct
44 Correct 35 ms 70224 KB Output is correct
45 Correct 35 ms 70492 KB Output is correct
46 Correct 37 ms 71508 KB Output is correct
47 Correct 39 ms 71496 KB Output is correct
48 Correct 38 ms 71596 KB Output is correct
49 Correct 34 ms 70932 KB Output is correct
50 Correct 36 ms 70740 KB Output is correct
51 Correct 35 ms 70968 KB Output is correct
52 Correct 36 ms 71768 KB Output is correct
53 Correct 35 ms 71764 KB Output is correct
54 Correct 35 ms 71760 KB Output is correct
55 Correct 37 ms 71904 KB Output is correct
56 Correct 37 ms 71672 KB Output is correct
57 Correct 40 ms 71512 KB Output is correct
58 Correct 49 ms 71512 KB Output is correct
59 Correct 48 ms 71504 KB Output is correct
60 Correct 44 ms 71508 KB Output is correct
61 Correct 33 ms 71760 KB Output is correct
62 Correct 37 ms 71764 KB Output is correct
63 Correct 37 ms 71772 KB Output is correct
64 Correct 39 ms 71256 KB Output is correct
65 Correct 42 ms 71196 KB Output is correct
66 Correct 42 ms 71256 KB Output is correct
67 Correct 36 ms 71516 KB Output is correct
68 Correct 36 ms 70736 KB Output is correct
69 Correct 32 ms 71764 KB Output is correct
70 Correct 36 ms 71508 KB Output is correct
71 Correct 39 ms 71508 KB Output is correct
72 Correct 41 ms 71504 KB Output is correct
73 Correct 43 ms 71252 KB Output is correct
74 Correct 38 ms 71504 KB Output is correct
75 Correct 34 ms 71512 KB Output is correct
76 Correct 37 ms 71516 KB Output is correct
77 Correct 38 ms 71504 KB Output is correct
78 Correct 35 ms 71248 KB Output is correct
79 Correct 34 ms 71252 KB Output is correct
80 Correct 36 ms 71356 KB Output is correct
81 Correct 36 ms 71536 KB Output is correct
82 Correct 34 ms 71516 KB Output is correct
83 Correct 32 ms 71432 KB Output is correct
84 Correct 39 ms 71508 KB Output is correct
85 Correct 39 ms 71248 KB Output is correct
86 Correct 36 ms 71256 KB Output is correct

Subtask #3
84.0 / 84.0

# Verdict Execution time Memory Grader output
1 Correct 29 ms 69972 KB Output is correct
2 Correct 28 ms 69976 KB Output is correct
3 Correct 32 ms 69980 KB Output is correct
4 Correct 35 ms 70228 KB Output is correct
5 Correct 34 ms 70324 KB Output is correct
6 Correct 33 ms 70236 KB Output is correct
7 Correct 35 ms 70224 KB Output is correct
8 Correct 33 ms 70052 KB Output is correct
9 Correct 30 ms 70224 KB Output is correct
10 Correct 34 ms 70228 KB Output is correct
11 Correct 31 ms 70224 KB Output is correct
12 Correct 38 ms 70172 KB Output is correct
13 Correct 33 ms 70232 KB Output is correct
14 Correct 32 ms 70228 KB Output is correct
15 Correct 37 ms 70236 KB Output is correct
16 Correct 36 ms 70236 KB Output is correct
17 Correct 34 ms 70260 KB Output is correct
18 Correct 34 ms 70232 KB Output is correct
19 Correct 44 ms 70300 KB Output is correct
20 Correct 34 ms 70356 KB Output is correct
21 Correct 33 ms 70212 KB Output is correct
22 Correct 33 ms 70228 KB Output is correct
23 Correct 36 ms 70316 KB Output is correct
24 Correct 29 ms 70228 KB Output is correct
25 Correct 31 ms 70236 KB Output is correct
26 Correct 32 ms 70232 KB Output is correct
27 Correct 30 ms 70236 KB Output is correct
28 Correct 34 ms 70236 KB Output is correct
29 Correct 34 ms 70236 KB Output is correct
30 Correct 32 ms 70232 KB Output is correct
31 Correct 31 ms 70236 KB Output is correct
32 Correct 33 ms 70172 KB Output is correct
33 Correct 30 ms 70236 KB Output is correct
34 Correct 35 ms 70308 KB Output is correct
35 Correct 34 ms 70228 KB Output is correct
36 Correct 35 ms 70236 KB Output is correct
37 Correct 37 ms 70236 KB Output is correct
38 Correct 33 ms 70236 KB Output is correct
39 Correct 35 ms 70236 KB Output is correct
40 Correct 36 ms 70232 KB Output is correct
41 Correct 33 ms 70288 KB Output is correct
42 Correct 34 ms 70144 KB Output is correct
43 Correct 33 ms 70240 KB Output is correct
44 Correct 35 ms 70224 KB Output is correct
45 Correct 35 ms 70492 KB Output is correct
46 Correct 37 ms 71508 KB Output is correct
47 Correct 39 ms 71496 KB Output is correct
48 Correct 38 ms 71596 KB Output is correct
49 Correct 34 ms 70932 KB Output is correct
50 Correct 36 ms 70740 KB Output is correct
51 Correct 35 ms 70968 KB Output is correct
52 Correct 36 ms 71768 KB Output is correct
53 Correct 35 ms 71764 KB Output is correct
54 Correct 35 ms 71760 KB Output is correct
55 Correct 37 ms 71904 KB Output is correct
56 Correct 37 ms 71672 KB Output is correct
57 Correct 40 ms 71512 KB Output is correct
58 Correct 49 ms 71512 KB Output is correct
59 Correct 48 ms 71504 KB Output is correct
60 Correct 44 ms 71508 KB Output is correct
61 Correct 33 ms 71760 KB Output is correct
62 Correct 37 ms 71764 KB Output is correct
63 Correct 37 ms 71772 KB Output is correct
64 Correct 39 ms 71256 KB Output is correct
65 Correct 42 ms 71196 KB Output is correct
66 Correct 42 ms 71256 KB Output is correct
67 Correct 36 ms 71516 KB Output is correct
68 Correct 36 ms 70736 KB Output is correct
69 Correct 32 ms 71764 KB Output is correct
70 Correct 36 ms 71508 KB Output is correct
71 Correct 39 ms 71508 KB Output is correct
72 Correct 41 ms 71504 KB Output is correct
73 Correct 43 ms 71252 KB Output is correct
74 Correct 38 ms 71504 KB Output is correct
75 Correct 34 ms 71512 KB Output is correct
76 Correct 37 ms 71516 KB Output is correct
77 Correct 38 ms 71504 KB Output is correct
78 Correct 35 ms 71248 KB Output is correct
79 Correct 34 ms 71252 KB Output is correct
80 Correct 36 ms 71356 KB Output is correct
81 Correct 36 ms 71536 KB Output is correct
82 Correct 34 ms 71516 KB Output is correct
83 Correct 32 ms 71432 KB Output is correct
84 Correct 39 ms 71508 KB Output is correct
85 Correct 39 ms 71248 KB Output is correct
86 Correct 36 ms 71256 KB Output is correct
87 Correct 53 ms 73808 KB Output is correct
88 Correct 110 ms 81236 KB Output is correct
89 Correct 387 ms 107588 KB Output is correct
90 Correct 383 ms 107864 KB Output is correct
91 Correct 393 ms 107604 KB Output is correct
92 Correct 127 ms 91180 KB Output is correct
93 Correct 121 ms 91032 KB Output is correct
94 Correct 124 ms 91216 KB Output is correct
95 Correct 127 ms 114372 KB Output is correct
96 Correct 173 ms 114884 KB Output is correct
97 Correct 182 ms 114876 KB Output is correct
98 Correct 175 ms 114880 KB Output is correct
99 Correct 151 ms 111708 KB Output is correct
100 Correct 424 ms 99744 KB Output is correct
101 Correct 713 ms 100120 KB Output is correct
102 Correct 674 ms 100180 KB Output is correct
103 Correct 690 ms 100204 KB Output is correct
104 Correct 178 ms 111512 KB Output is correct
105 Correct 175 ms 111696 KB Output is correct
106 Correct 179 ms 111524 KB Output is correct
107 Correct 154 ms 102232 KB Output is correct
108 Correct 230 ms 102480 KB Output is correct
109 Correct 336 ms 103928 KB Output is correct
110 Correct 87 ms 85844 KB Output is correct
111 Correct 131 ms 114368 KB Output is correct
112 Correct 111 ms 107732 KB Output is correct
113 Correct 111 ms 106316 KB Output is correct
114 Correct 416 ms 99668 KB Output is correct
115 Correct 393 ms 94800 KB Output is correct
116 Correct 116 ms 106320 KB Output is correct
117 Correct 141 ms 109012 KB Output is correct
118 Correct 156 ms 108340 KB Output is correct
119 Correct 156 ms 108112 KB Output is correct
120 Correct 111 ms 104276 KB Output is correct
121 Correct 116 ms 103572 KB Output is correct
122 Correct 129 ms 103420 KB Output is correct
123 Correct 178 ms 109172 KB Output is correct
124 Correct 171 ms 108368 KB Output is correct
125 Correct 173 ms 108120 KB Output is correct
126 Correct 138 ms 104276 KB Output is correct
127 Correct 135 ms 103584 KB Output is correct
128 Correct 137 ms 103252 KB Output is correct