oj.uz

Submission #959199

# Submission time Handle Problem Language Result Execution time Memory
959199 2024-04-07T16:15:54 Z andrei_boaca Capital City (JOI20_capital_city) C++17
100 / 100
 960 ms 120404 KB 
#include <bits/stdc++.h>

using namespace std;
typedef pair<int,int> pii;
int n,k,nr[200005],par[200005],dp[21][200005],in[200005],out[200005],niv[200005];
bool use[200005],isheavy[200005];
vector<int> mynodes[200005];
int cul[200005],poz[200005],where[200005],last[200005],chains,lg[200005],timp;
int nrcomp,nrcul[200005],nrnodes[200005],nrmuchii[200005],comp[200005];
vector<vector<int>> arb;
vector<vector<vector<int>>> aint;
vector<int> muchii[200005];
vector<pii> init;
vector<int> st;
vector<int> who;
bool isancestor(int a,int b)
{
    return in[a]<=in[b]&&out[a]>=out[b];
}
int LCA(int a,int b)
{
    if(niv[a]>niv[b])
        swap(a,b);
    if(isancestor(a,b))
        return a;
    for(int i=18;i>=0;i--)
        if(dp[i][a]!=0&&!isancestor(dp[i][a],b))
            a=dp[i][a];
    return par[a];
}
void initdfs(int nod)
{
    timp++;
    in[nod]=timp;
    nr[nod]=1;
    dp[0][nod]=par[nod];
    for(int i=1;i<=18;i++)
        dp[i][nod]=dp[i-1][dp[i-1][nod]];
    int who=0,maxim=0;
    for(int i:muchii[nod])
        if(i!=par[nod])
        {
            par[i]=nod;
            niv[i]=niv[nod]+1;
            initdfs(i);
            nr[nod]+=nr[i];
            if(nr[i]>maxim)
            {
                maxim=nr[i];
                who=i;
            }
        }
    if(who!=0)
        isheavy[who]=1;
    out[nod]=timp;
}
void buildheavy()
{
    for(int i=1;i<=n;i++)
    {
        int nod=i;
        bool ok=1;
        for(int j:muchii[nod])
            if(j!=par[nod]&&isheavy[j])
            {
                ok=0;
                break;
            }
        if(!ok)
            continue;
        chains++;
        while(nod!=0)
        {
            lg[chains]++;
            poz[nod]=lg[chains];
            where[nod]=chains;
            last[chains]=nod;
            if(!isheavy[nod])
                break;
            nod=par[nod];
        }
    }
    arb.resize(chains+1);
    aint.resize(chains+1);
    for(int i=1;i<=chains;i++)
    {
        arb[i].resize(4*lg[i]+5);
        aint[i].resize(4*lg[i]+5);
    }
}
void update(int ind,int nod,int st,int dr,int p,int val)
{
    if(st==dr)
    {
        arb[ind][nod]=val;
        return;
    }
    int mij=(st+dr)/2;
    if(p<=mij)
        update(ind,nod*2,st,mij,p,val);
    else
        update(ind,nod*2+1,mij+1,dr,p,val);
    arb[ind][nod]=max(arb[ind][nod*2],arb[ind][nod*2+1]);
}
int query(int ind,int nod,int st,int dr,int a,int b)
{
    if(st>=a&&dr<=b)
        return arb[ind][nod];
    int rez=-1;
    int mij=(st+dr)/2;
    if(a<=mij)
        rez=max(rez,query(ind,nod*2,st,mij,a,b));
    if(b>mij)
        rez=max(rez,query(ind,nod*2+1,mij+1,dr,a,b));
    return rez;
}
void plsput(int nod,int val)
{
    int ind=where[nod];
    update(ind,1,1,lg[ind],poz[nod],val);
}
int chmin(int a,int lca)
{
    int rez=-1;
    while(niv[a]>=niv[lca])
    {
        int ind=where[a];
        int p=poz[a];
        if(where[lca]==ind)
        {
            int val=query(ind,1,1,lg[ind],p,poz[lca]);
            rez=max(rez,val);
            break;
        }
        int val=query(ind,1,1,lg[ind],p,lg[ind]);
        rez=max(rez,val);
        a=par[last[ind]];
    }
    return rez;
}
int getmin(int a,int b)
{
    int lca=LCA(a,b);
    return max(chmin(a,lca),chmin(b,lca));
}
void upd(int ind,int nod,int st,int dr,int a,int b,int val)
{
    if(st>=a&&dr<=b)
    {
        aint[ind][nod].push_back(val);
        return;
    }
    int mij=(st+dr)/2;
    if(a<=mij)
        upd(ind,nod*2,st,mij,a,b,val);
    if(b>mij)
        upd(ind,nod*2+1,mij+1,dr,a,b,val);
}
void getnodes(int ind,int nod,int st,int dr,int p)
{
    for(int i:aint[ind][nod])
        who.push_back(i);
    aint[ind][nod].clear();
    if(st==dr)
        return;
    int mij=(st+dr)/2;
    if(p<=mij)
        getnodes(ind,nod*2,st,mij,p);
    else
        getnodes(ind,nod*2+1,mij+1,dr,p);
}
void add(int a,int lca,int val)
{
    while(niv[a]>=niv[lca])
    {
        int ind=where[a];
        int p=poz[a];
        if(where[lca]==ind)
        {
            upd(ind,1,1,lg[ind],p,poz[lca],val);
            break;
        }
        upd(ind,1,1,lg[ind],p,lg[ind],val);
        a=par[last[ind]];
    }
}
void plsadd(int a,int b,int val)
{
    int lca=LCA(a,b);
    add(a,lca,val);
    add(b,lca,val);
}
void dfs1(int nod)
{
    use[nod]=1;
    for(int x:mynodes[nod])
        plsput(x,-1);
    for(int i=1;i<mynodes[nod].size();i++)
    {
        int a=mynodes[nod][0];
        int b=mynodes[nod][i];
        int x=getmin(a,b);
        while(x>=1)
        {
            dfs1(x);
            x=getmin(a,b);
        }
    }
    st.push_back(nod);
}
void dfs2(int nod)
{
    use[nod]=1;
    comp[nod]=nrcomp;
    nrcul[nrcomp]++;
    for(int i:mynodes[nod])
    {
        who.clear();
        vector<int> aux;
        int ind=where[i];
        int p=poz[i];
        getnodes(ind,1,1,lg[ind],p);
        aux=who;
        for(int j:aux)
            if(!use[j])
                dfs2(j);
    }
}
int main()
{
    ios_base::sync_with_stdio(false);
    cin.tie(0);
    cin>>n>>k;
    for(int i=1;i<n;i++)
    {
        int a,b;
        cin>>a>>b;
        muchii[a].push_back(b);
        muchii[b].push_back(a);
        init.push_back({a,b});
    }
    for(int i=1;i<=n;i++)
    {
        cin>>cul[i];
        mynodes[cul[i]].push_back(i);
    }
    niv[1]=1;
    initdfs(1);
    buildheavy();
    for(int i=1;i<=n;i++)
        plsput(i,cul[i]);
    for(int i=1;i<=k;i++)
        if(!use[i])
            dfs1(i);
    reverse(st.begin(),st.end());
    for(int i=1;i<=n;i++)
        use[i]=0;
    for(int i=1;i<=k;i++)
    {
        for(int j=1;j<mynodes[i].size();j++)
        {
            int a=mynodes[i][0];
            int b=mynodes[i][j];
            plsadd(a,b,i);
        }
    }
    for(int i:st)
        if(!use[i])
        {
            nrcomp++;
            dfs2(i);
        }
    /*for(int i=1;i<=k;i++)
        cout<<comp[i]<<' ';
    cout<<'\n';*/
    for(int i=1;i<=n;i++)
    {
        int c=comp[cul[i]];
        nrnodes[c]++;
    }
    for(pii p:init)
    {
        int a=p.first;
        int b=p.second;
        a=comp[cul[a]];
        b=comp[cul[b]];
        if(a==b)
            nrmuchii[a]++;
    }
    int ans=1e9;
    for(int i=1;i<=nrcomp;i++)
        if(nrmuchii[i]+1==nrnodes[i])
            ans=min(ans,nrcul[i]);
    cout<<ans-1;
    return 0;
}

Compilation message

capital_city.cpp: In function 'void dfs1(int)':
capital_city.cpp:198:18: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
  198 |     for(int i=1;i<mynodes[nod].size();i++)
      |                 ~^~~~~~~~~~~~~~~~~~~~
capital_city.cpp: In function 'int main()':
capital_city.cpp:260:22: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
  260 |         for(int j=1;j<mynodes[i].size();j++)
      |                     ~^~~~~~~~~~~~~~~~~~

Subtask #1
1.0 / 1.0

# Verdict Execution time Memory Grader output
1 Correct 10 ms 31320 KB Output is correct
2 Correct 5 ms 31324 KB Output is correct
3 Correct 6 ms 31324 KB Output is correct
4 Correct 6 ms 31324 KB Output is correct
5 Correct 5 ms 31372 KB Output is correct
6 Correct 5 ms 31372 KB Output is correct
7 Correct 5 ms 31320 KB Output is correct
8 Correct 6 ms 31324 KB Output is correct
9 Correct 6 ms 31340 KB Output is correct
10 Correct 5 ms 31320 KB Output is correct

Subtask #2
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 10 ms 31320 KB Output is correct
2 Correct 5 ms 31324 KB Output is correct
3 Correct 6 ms 31324 KB Output is correct
4 Correct 6 ms 31324 KB Output is correct
5 Correct 5 ms 31372 KB Output is correct
6 Correct 5 ms 31372 KB Output is correct
7 Correct 5 ms 31320 KB Output is correct
8 Correct 6 ms 31324 KB Output is correct
9 Correct 6 ms 31340 KB Output is correct
10 Correct 5 ms 31320 KB Output is correct
11 Correct 9 ms 32092 KB Output is correct
12 Correct 7 ms 32092 KB Output is correct
13 Correct 7 ms 32160 KB Output is correct
14 Correct 7 ms 32092 KB Output is correct
15 Correct 8 ms 32152 KB Output is correct
16 Correct 8 ms 32088 KB Output is correct
17 Correct 7 ms 32092 KB Output is correct
18 Correct 7 ms 32092 KB Output is correct
19 Correct 7 ms 32092 KB Output is correct
20 Correct 7 ms 32092 KB Output is correct
21 Correct 7 ms 32092 KB Output is correct
22 Correct 7 ms 32068 KB Output is correct
23 Correct 8 ms 31836 KB Output is correct
24 Correct 7 ms 32088 KB Output is correct
25 Correct 8 ms 31836 KB Output is correct
26 Correct 8 ms 32020 KB Output is correct
27 Correct 8 ms 32088 KB Output is correct
28 Correct 8 ms 32288 KB Output is correct
29 Correct 8 ms 32088 KB Output is correct
30 Correct 8 ms 32088 KB Output is correct

Subtask #3
30.0 / 30.0

# Verdict Execution time Memory Grader output
1 Correct 587 ms 104228 KB Output is correct
2 Correct 259 ms 105376 KB Output is correct
3 Correct 559 ms 104448 KB Output is correct
4 Correct 263 ms 105408 KB Output is correct
5 Correct 571 ms 102076 KB Output is correct
6 Correct 266 ms 105408 KB Output is correct
7 Correct 528 ms 102528 KB Output is correct
8 Correct 288 ms 104752 KB Output is correct
9 Correct 515 ms 98772 KB Output is correct
10 Correct 521 ms 96188 KB Output is correct
11 Correct 504 ms 99640 KB Output is correct
12 Correct 529 ms 103352 KB Output is correct
13 Correct 528 ms 96108 KB Output is correct
14 Correct 594 ms 103988 KB Output is correct
15 Correct 532 ms 103384 KB Output is correct
16 Correct 540 ms 97516 KB Output is correct
17 Correct 518 ms 97672 KB Output is correct
18 Correct 504 ms 98192 KB Output is correct
19 Correct 571 ms 102664 KB Output is correct
20 Correct 503 ms 104236 KB Output is correct
21 Correct 6 ms 31324 KB Output is correct

Subtask #4
59.0 / 59.0

# Verdict Execution time Memory Grader output
1 Correct 10 ms 31320 KB Output is correct
2 Correct 5 ms 31324 KB Output is correct
3 Correct 6 ms 31324 KB Output is correct
4 Correct 6 ms 31324 KB Output is correct
5 Correct 5 ms 31372 KB Output is correct
6 Correct 5 ms 31372 KB Output is correct
7 Correct 5 ms 31320 KB Output is correct
8 Correct 6 ms 31324 KB Output is correct
9 Correct 6 ms 31340 KB Output is correct
10 Correct 5 ms 31320 KB Output is correct
11 Correct 9 ms 32092 KB Output is correct
12 Correct 7 ms 32092 KB Output is correct
13 Correct 7 ms 32160 KB Output is correct
14 Correct 7 ms 32092 KB Output is correct
15 Correct 8 ms 32152 KB Output is correct
16 Correct 8 ms 32088 KB Output is correct
17 Correct 7 ms 32092 KB Output is correct
18 Correct 7 ms 32092 KB Output is correct
19 Correct 7 ms 32092 KB Output is correct
20 Correct 7 ms 32092 KB Output is correct
21 Correct 7 ms 32092 KB Output is correct
22 Correct 7 ms 32068 KB Output is correct
23 Correct 8 ms 31836 KB Output is correct
24 Correct 7 ms 32088 KB Output is correct
25 Correct 8 ms 31836 KB Output is correct
26 Correct 8 ms 32020 KB Output is correct
27 Correct 8 ms 32088 KB Output is correct
28 Correct 8 ms 32288 KB Output is correct
29 Correct 8 ms 32088 KB Output is correct
30 Correct 8 ms 32088 KB Output is correct
31 Correct 587 ms 104228 KB Output is correct
32 Correct 259 ms 105376 KB Output is correct
33 Correct 559 ms 104448 KB Output is correct
34 Correct 263 ms 105408 KB Output is correct
35 Correct 571 ms 102076 KB Output is correct
36 Correct 266 ms 105408 KB Output is correct
37 Correct 528 ms 102528 KB Output is correct
38 Correct 288 ms 104752 KB Output is correct
39 Correct 515 ms 98772 KB Output is correct
40 Correct 521 ms 96188 KB Output is correct
41 Correct 504 ms 99640 KB Output is correct
42 Correct 529 ms 103352 KB Output is correct
43 Correct 528 ms 96108 KB Output is correct
44 Correct 594 ms 103988 KB Output is correct
45 Correct 532 ms 103384 KB Output is correct
46 Correct 540 ms 97516 KB Output is correct
47 Correct 518 ms 97672 KB Output is correct
48 Correct 504 ms 98192 KB Output is correct
49 Correct 571 ms 102664 KB Output is correct
50 Correct 503 ms 104236 KB Output is correct
51 Correct 6 ms 31324 KB Output is correct
52 Correct 713 ms 116400 KB Output is correct
53 Correct 702 ms 116548 KB Output is correct
54 Correct 725 ms 117116 KB Output is correct
55 Correct 788 ms 116460 KB Output is correct
56 Correct 741 ms 116104 KB Output is correct
57 Correct 750 ms 116440 KB Output is correct
58 Correct 908 ms 109064 KB Output is correct
59 Correct 941 ms 108692 KB Output is correct
60 Correct 871 ms 114368 KB Output is correct
61 Correct 937 ms 115028 KB Output is correct
62 Correct 264 ms 105648 KB Output is correct
63 Correct 258 ms 105468 KB Output is correct
64 Correct 257 ms 104904 KB Output is correct
65 Correct 287 ms 105364 KB Output is correct
66 Correct 483 ms 120256 KB Output is correct
67 Correct 471 ms 115696 KB Output is correct
68 Correct 508 ms 118972 KB Output is correct
69 Correct 574 ms 118184 KB Output is correct
70 Correct 530 ms 119488 KB Output is correct
71 Correct 504 ms 118728 KB Output is correct
72 Correct 491 ms 119544 KB Output is correct
73 Correct 520 ms 116624 KB Output is correct
74 Correct 519 ms 120404 KB Output is correct
75 Correct 549 ms 119232 KB Output is correct
76 Correct 642 ms 107168 KB Output is correct
77 Correct 960 ms 104916 KB Output is correct
78 Correct 522 ms 97660 KB Output is correct
79 Correct 546 ms 95316 KB Output is correct
80 Correct 499 ms 104352 KB Output is correct
81 Correct 590 ms 100284 KB Output is correct
82 Correct 600 ms 100432 KB Output is correct
83 Correct 497 ms 95940 KB Output is correct
84 Correct 550 ms 102992 KB Output is correct
85 Correct 589 ms 100816 KB Output is correct
86 Correct 498 ms 96104 KB Output is correct
87 Correct 498 ms 96648 KB Output is correct
88 Correct 704 ms 110000 KB Output is correct
89 Correct 648 ms 104916 KB Output is correct
90 Correct 665 ms 104096 KB Output is correct
91 Correct 687 ms 107400 KB Output is correct
92 Correct 702 ms 105916 KB Output is correct
93 Correct 662 ms 105792 KB Output is correct
94 Correct 674 ms 105144 KB Output is correct
95 Correct 715 ms 106668 KB Output is correct
96 Correct 674 ms 105868 KB Output is correct
97 Correct 816 ms 109228 KB Output is correct