oj.uz

Submission #152135

# Submission time Handle Problem Language Result Execution time Memory
152135 2019-09-06T15:08:20 Z arnold518 Cats or Dogs (JOI18_catdog) C++14
100 / 100
 1006 ms 26356 KB 
#include "catdog.h"
#include <bits/stdc++.h>
using namespace std;

typedef long long ll;
typedef pair<int, int> pii;
typedef pair<ll, ll> pll;

const int MAXN = 1e5;
const int INF = 1e6;

int N;
vector<int> adj[MAXN+10];

int sz[MAXN+10], par[MAXN+10], dep[MAXN+10];
int idx[MAXN+10], cnt=1, head[MAXN+10], tail[MAXN+10];
int A[MAXN+10], C[MAXN+10], D[MAXN+10];

struct Node
{
    int AA, AB, BA, BB;
    Node(int AA, int AB, int BA, int BB) : AA(AA), AB(AB), BA(BA), BB(BB) {}
    Node() : AA(0), AB(0), BA(0), BB(0) {}
};

Node combine(Node lc, Node rc)
{
    Node ret;
    ret.AA=min({lc.AA+rc.AA, lc.AA+rc.BA+1, lc.AB+rc.AA+1, lc.AB+rc.BA});
    ret.AB=min({lc.AA+rc.AB, lc.AA+rc.BB+1, lc.AB+rc.AB+1, lc.AB+rc.BB});
    ret.BA=min({lc.BA+rc.AA, lc.BA+rc.BA+1, lc.BB+rc.AA+1, lc.BB+rc.BA});
    ret.BB=min({lc.BA+rc.AB, lc.BA+rc.BB+1, lc.BB+rc.AB+1, lc.BB+rc.BB});
    return ret;
}

struct SEG
{
    Node tree[MAXN*4+10];

    void init(int node, int tl, int tr)
    {
        if(tl==tr) { tree[node]=Node(0, INF, INF, 0); return; }
        int mid=tl+tr>>1;
        init(node*2, tl, mid);
        init(node*2+1, mid+1, tr);
        tree[node]=combine(tree[node*2], tree[node*2+1]);
    }

    void update(int node, int tl, int tr, int pos, Node val)
    {
        if(tr<pos || pos<tl) return;
        if(tl==tr)
        {
            tree[node]=val;
            return;
        }
        int mid=tl+tr>>1;
        update(node*2, tl, mid, pos, val);
        update(node*2+1, mid+1, tr, pos, val);
        tree[node]=combine(tree[node*2], tree[node*2+1]);
    }

    void query(int node, int tl, int tr, int l, int r, vector<Node> &ret)
    {
        if(l<=tl && tr<=r) { ret.push_back(tree[node]); return; }
        if(r<tl || tr<l) return;
        int mid=tl+tr>>1;
        query(node*2, tl, mid, l, r, ret);
        query(node*2+1, mid+1, tr, l, r, ret);
    }

    Node query(int l, int r)
    {
        int i, j;
        vector<Node> V;
        query(1, 1, N, l, r, V);
        Node ret=V[0];
        for(i=1; i<V.size(); i++) ret=combine(ret, V[i]);
        return ret;
    }

    void debug(int node, int tl, int tr)
    {
        printf("%d %d %d : %d %d %d %d\n", node, tl, tr, tree[node].AA, tree[node].AB, tree[node].BA, tree[node].BB);
        if(tl==tr) return;
        int mid=tl+tr>>1;
        debug(node*2, tl, mid);
        debug(node*2+1, mid+1, tr);
    }
}seg;

void dfs(int now, int bef, int depth)
{
    sz[now]=1;
    par[now]=bef;
    dep[now]=depth;
    for(int nxt : adj[now])
    {
        if(nxt==bef) continue;
        dfs(nxt, now, depth+1);
        sz[now]+=sz[nxt];
    }
}

void hld(int now, int bef)
{
    idx[now]=cnt++;

    int heavy=0;
    for(int nxt : adj[now])
    {
        if(nxt==bef) continue;
        if(sz[heavy]<sz[nxt]) heavy=nxt;
    }

    if(heavy==0)
    {
        tail[now]=now;
        return;
    }

    head[heavy]=head[now];
    hld(heavy, now);

    for(int nxt : adj[now])
    {
        if(nxt==bef || nxt==heavy) continue;
        head[nxt]=nxt;
        hld(nxt, now);
    }

    tail[now]=tail[heavy];
}

void initialize(int _N, vector<int> A, vector<int> B)
{
    int i, j;
    N=_N;

    for(i=0; i<N-1; i++)
    {
        adj[A[i]].push_back(B[i]);
        adj[B[i]].push_back(A[i]);
    }

    dfs(1, 0, 1);
    head[1]=1;
    hld(1, 0);
    seg.init(1, 1, N);
}

int query(int u, int val)
{
    Node chg;
    if(val==0) chg=Node(C[u], INF, INF, D[u]);
    if(val==1)
    {
        Node t=seg.query(idx[u], idx[u]);
        D[u]=t.BB;
        chg=Node(C[u], INF, INF, INF);
    }
    if(val==2)
    {
        Node t=seg.query(idx[u], idx[u]);
        C[u]=t.AA;
        chg=Node(INF, INF, INF, D[u]);
    }
    A[u]=val;

    while(head[u]!=1)
    {
        int a=par[head[u]], b=head[u];
        Node qa=seg.query(idx[a], idx[a]), qb=seg.query(idx[head[b]], idx[tail[b]]);
        if(A[a]!=2) qa.AA-=min(min(qb.AA, qb.AB), min(qb.BA, qb.BB)+1); C[a]-=min(min(qb.AA, qb.AB), min(qb.BA, qb.BB)+1);
        if(A[a]!=1) qa.BB-=min(min(qb.AA, qb.AB)+1, min(qb.BA, qb.BB)); D[a]-=min(min(qb.AA, qb.AB)+1, min(qb.BA, qb.BB));
        seg.update(1, 1, N, idx[u], chg);
        qb=seg.query(idx[head[b]], idx[tail[b]]);
        if(A[a]!=2) qa.AA+=min(min(qb.AA, qb.AB), min(qb.BA, qb.BB)+1); C[a]+=min(min(qb.AA, qb.AB), min(qb.BA, qb.BB)+1);
        if(A[a]!=1) qa.BB+=min(min(qb.AA, qb.AB)+1, min(qb.BA, qb.BB)); D[a]+=min(min(qb.AA, qb.AB)+1, min(qb.BA, qb.BB));

        chg=qa;
        u=par[head[u]];
    }

    seg.update(1, 1, N, idx[u], chg);
    Node ans=seg.query(idx[head[1]], idx[tail[1]]);

    //seg.debug(1, 1, N); printf("===========================\n");
    return min({ans.AA, ans.AB, ans.BA, ans.BB});
}

int cat(int u)
{
    return query(u, 1);
}

int dog(int u)
{
    return query(u, 2);
}

int neighbor(int u)
{
    return query(u, 0);
}

Compilation message

catdog.cpp: In member function 'void SEG::init(int, int, int)':
catdog.cpp:43:19: warning: suggest parentheses around '+' inside '>>' [-Wparentheses]
         int mid=tl+tr>>1;
                 ~~^~~
catdog.cpp: In member function 'void SEG::update(int, int, int, int, Node)':
catdog.cpp:57:19: warning: suggest parentheses around '+' inside '>>' [-Wparentheses]
         int mid=tl+tr>>1;
                 ~~^~~
catdog.cpp: In member function 'void SEG::query(int, int, int, int, int, std::vector<Node>&)':
catdog.cpp:67:19: warning: suggest parentheses around '+' inside '>>' [-Wparentheses]
         int mid=tl+tr>>1;
                 ~~^~~
catdog.cpp: In member function 'Node SEG::query(int, int)':
catdog.cpp:78:19: warning: comparison between signed and unsigned integer expressions [-Wsign-compare]
         for(i=1; i<V.size(); i++) ret=combine(ret, V[i]);
                  ~^~~~~~~~~
catdog.cpp:74:16: warning: unused variable 'j' [-Wunused-variable]
         int i, j;
                ^
catdog.cpp: In member function 'void SEG::debug(int, int, int)':
catdog.cpp:86:19: warning: suggest parentheses around '+' inside '>>' [-Wparentheses]
         int mid=tl+tr>>1;
                 ~~^~~
catdog.cpp: In function 'void initialize(int, std::vector<int>, std::vector<int>)':
catdog.cpp:137:12: warning: unused variable 'j' [-Wunused-variable]
     int i, j;
            ^
catdog.cpp: In function 'int query(int, int)':
catdog.cpp:174:9: warning: this 'if' clause does not guard... [-Wmisleading-indentation]
         if(A[a]!=2) qa.AA-=min(min(qb.AA, qb.AB), min(qb.BA, qb.BB)+1); C[a]-=min(min(qb.AA, qb.AB), min(qb.BA, qb.BB)+1);
         ^~
catdog.cpp:174:73: note: ...this statement, but the latter is misleadingly indented as if it were guarded by the 'if'
         if(A[a]!=2) qa.AA-=min(min(qb.AA, qb.AB), min(qb.BA, qb.BB)+1); C[a]-=min(min(qb.AA, qb.AB), min(qb.BA, qb.BB)+1);
                                                                         ^
catdog.cpp:175:9: warning: this 'if' clause does not guard... [-Wmisleading-indentation]
         if(A[a]!=1) qa.BB-=min(min(qb.AA, qb.AB)+1, min(qb.BA, qb.BB)); D[a]-=min(min(qb.AA, qb.AB)+1, min(qb.BA, qb.BB));
         ^~
catdog.cpp:175:73: note: ...this statement, but the latter is misleadingly indented as if it were guarded by the 'if'
         if(A[a]!=1) qa.BB-=min(min(qb.AA, qb.AB)+1, min(qb.BA, qb.BB)); D[a]-=min(min(qb.AA, qb.AB)+1, min(qb.BA, qb.BB));
                                                                         ^
catdog.cpp:178:9: warning: this 'if' clause does not guard... [-Wmisleading-indentation]
         if(A[a]!=2) qa.AA+=min(min(qb.AA, qb.AB), min(qb.BA, qb.BB)+1); C[a]+=min(min(qb.AA, qb.AB), min(qb.BA, qb.BB)+1);
         ^~
catdog.cpp:178:73: note: ...this statement, but the latter is misleadingly indented as if it were guarded by the 'if'
         if(A[a]!=2) qa.AA+=min(min(qb.AA, qb.AB), min(qb.BA, qb.BB)+1); C[a]+=min(min(qb.AA, qb.AB), min(qb.BA, qb.BB)+1);
                                                                         ^
catdog.cpp:179:9: warning: this 'if' clause does not guard... [-Wmisleading-indentation]
         if(A[a]!=1) qa.BB+=min(min(qb.AA, qb.AB)+1, min(qb.BA, qb.BB)); D[a]+=min(min(qb.AA, qb.AB)+1, min(qb.BA, qb.BB));
         ^~
catdog.cpp:179:73: note: ...this statement, but the latter is misleadingly indented as if it were guarded by the 'if'
         if(A[a]!=1) qa.BB+=min(min(qb.AA, qb.AB)+1, min(qb.BA, qb.BB)); D[a]+=min(min(qb.AA, qb.AB)+1, min(qb.BA, qb.BB));
                                                                         ^

Subtask #1
8.0 / 8.0

# Verdict Execution time Memory Grader output
1 Correct 10 ms 8952 KB Output is correct
2 Correct 10 ms 8952 KB Output is correct
3 Correct 10 ms 8952 KB Output is correct
4 Correct 10 ms 8952 KB Output is correct
5 Correct 10 ms 8952 KB Output is correct
6 Correct 10 ms 9080 KB Output is correct
7 Correct 10 ms 8956 KB Output is correct
8 Correct 10 ms 8952 KB Output is correct
9 Correct 10 ms 8952 KB Output is correct
10 Correct 10 ms 8952 KB Output is correct
11 Correct 10 ms 8956 KB Output is correct
12 Correct 10 ms 9080 KB Output is correct
13 Correct 10 ms 8952 KB Output is correct
14 Correct 10 ms 8952 KB Output is correct
15 Correct 10 ms 8952 KB Output is correct
16 Correct 10 ms 8952 KB Output is correct

Subtask #2
30.0 / 30.0

# Verdict Execution time Memory Grader output
1 Correct 10 ms 8952 KB Output is correct
2 Correct 10 ms 8952 KB Output is correct
3 Correct 10 ms 8952 KB Output is correct
4 Correct 10 ms 8952 KB Output is correct
5 Correct 10 ms 8952 KB Output is correct
6 Correct 10 ms 9080 KB Output is correct
7 Correct 10 ms 8956 KB Output is correct
8 Correct 10 ms 8952 KB Output is correct
9 Correct 10 ms 8952 KB Output is correct
10 Correct 10 ms 8952 KB Output is correct
11 Correct 10 ms 8956 KB Output is correct
12 Correct 10 ms 9080 KB Output is correct
13 Correct 10 ms 8952 KB Output is correct
14 Correct 10 ms 8952 KB Output is correct
15 Correct 10 ms 8952 KB Output is correct
16 Correct 10 ms 8952 KB Output is correct
17 Correct 12 ms 9080 KB Output is correct
18 Correct 12 ms 9080 KB Output is correct
19 Correct 11 ms 9080 KB Output is correct
20 Correct 10 ms 8952 KB Output is correct
21 Correct 11 ms 9080 KB Output is correct
22 Correct 11 ms 9080 KB Output is correct
23 Correct 13 ms 9080 KB Output is correct
24 Correct 12 ms 9080 KB Output is correct
25 Correct 11 ms 9080 KB Output is correct
26 Correct 11 ms 9080 KB Output is correct
27 Correct 10 ms 8960 KB Output is correct
28 Correct 10 ms 9080 KB Output is correct
29 Correct 11 ms 9080 KB Output is correct
30 Correct 11 ms 8952 KB Output is correct
31 Correct 10 ms 9080 KB Output is correct
32 Correct 11 ms 8952 KB Output is correct

Subtask #3
62.0 / 62.0

# Verdict Execution time Memory Grader output
1 Correct 10 ms 8952 KB Output is correct
2 Correct 10 ms 8952 KB Output is correct
3 Correct 10 ms 8952 KB Output is correct
4 Correct 10 ms 8952 KB Output is correct
5 Correct 10 ms 8952 KB Output is correct
6 Correct 10 ms 9080 KB Output is correct
7 Correct 10 ms 8956 KB Output is correct
8 Correct 10 ms 8952 KB Output is correct
9 Correct 10 ms 8952 KB Output is correct
10 Correct 10 ms 8952 KB Output is correct
11 Correct 10 ms 8956 KB Output is correct
12 Correct 10 ms 9080 KB Output is correct
13 Correct 10 ms 8952 KB Output is correct
14 Correct 10 ms 8952 KB Output is correct
15 Correct 10 ms 8952 KB Output is correct
16 Correct 10 ms 8952 KB Output is correct
17 Correct 12 ms 9080 KB Output is correct
18 Correct 12 ms 9080 KB Output is correct
19 Correct 11 ms 9080 KB Output is correct
20 Correct 10 ms 8952 KB Output is correct
21 Correct 11 ms 9080 KB Output is correct
22 Correct 11 ms 9080 KB Output is correct
23 Correct 13 ms 9080 KB Output is correct
24 Correct 12 ms 9080 KB Output is correct
25 Correct 11 ms 9080 KB Output is correct
26 Correct 11 ms 9080 KB Output is correct
27 Correct 10 ms 8960 KB Output is correct
28 Correct 10 ms 9080 KB Output is correct
29 Correct 11 ms 9080 KB Output is correct
30 Correct 11 ms 8952 KB Output is correct
31 Correct 10 ms 9080 KB Output is correct
32 Correct 11 ms 8952 KB Output is correct
33 Correct 530 ms 15032 KB Output is correct
34 Correct 167 ms 15040 KB Output is correct
35 Correct 561 ms 13844 KB Output is correct
36 Correct 803 ms 19100 KB Output is correct
37 Correct 32 ms 11768 KB Output is correct
38 Correct 975 ms 20188 KB Output is correct
39 Correct 992 ms 20044 KB Output is correct
40 Correct 960 ms 20100 KB Output is correct
41 Correct 980 ms 20088 KB Output is correct
42 Correct 926 ms 20172 KB Output is correct
43 Correct 945 ms 20104 KB Output is correct
44 Correct 881 ms 20116 KB Output is correct
45 Correct 918 ms 20132 KB Output is correct
46 Correct 911 ms 20164 KB Output is correct
47 Correct 1006 ms 20112 KB Output is correct
48 Correct 204 ms 17004 KB Output is correct
49 Correct 227 ms 19084 KB Output is correct
50 Correct 80 ms 11388 KB Output is correct
51 Correct 99 ms 12892 KB Output is correct
52 Correct 41 ms 11000 KB Output is correct
53 Correct 383 ms 18376 KB Output is correct
54 Correct 287 ms 13488 KB Output is correct
55 Correct 708 ms 17084 KB Output is correct
56 Correct 462 ms 14300 KB Output is correct
57 Correct 601 ms 18336 KB Output is correct
58 Correct 42 ms 12716 KB Output is correct
59 Correct 82 ms 12536 KB Output is correct
60 Correct 181 ms 17584 KB Output is correct
61 Correct 196 ms 18036 KB Output is correct
62 Correct 122 ms 15864 KB Output is correct
63 Correct 77 ms 16248 KB Output is correct
64 Correct 90 ms 17916 KB Output is correct
65 Correct 112 ms 22916 KB Output is correct
66 Correct 116 ms 12792 KB Output is correct
67 Correct 112 ms 18936 KB Output is correct
68 Correct 225 ms 23160 KB Output is correct
69 Correct 51 ms 10616 KB Output is correct
70 Correct 19 ms 9208 KB Output is correct
71 Correct 90 ms 15808 KB Output is correct
72 Correct 144 ms 21240 KB Output is correct
73 Correct 377 ms 26356 KB Output is correct
74 Correct 431 ms 22896 KB Output is correct
75 Correct 234 ms 26232 KB Output is correct
76 Correct 259 ms 25080 KB Output is correct
77 Correct 459 ms 23240 KB Output is correct