Submission #919357

# Submission time Handle Problem Language Result Execution time Memory
919357 2024-01-31T16:22:59 Z imarn Mergers (JOI19_mergers) C++17
48 / 100
824 ms 90680 KB
#include<bits/stdc++.h>
#define ll long long
#define pii pair<int,int>
#define pll pair<ll,ll>
#define f first
#define s second
#define pb push_back
#define all(x) x.begin(),x.end()
#define vi vector<int>
#define vvi vector<vi>
#define vp vector<pii>
using namespace std;
const int N=5e5+5;
vector<int>g[N];
set<int>gg[N];
int sz[N],id[N],pr[N],head[N],dep[N],cur=0,t[4*N],lz[4*N],pos[N],cp=1,n;
void push(int i,int l,int r){
    if(lz[i]==1e9)return;
    t[i]=min(t[i],lz[i]);
    if(l<r){
        lz[2*i]=min(lz[2*i],lz[i]);
        lz[2*i+1]=min(lz[2*i+1],lz[i]);
    }lz[i]=1e9;
}
void upd(int i,int l,int r,int tl,int tr,int id){
    push(i,l,r);
    if(r<tl||l>tr)return;
    if(r<=tr&&l>=tl){
        lz[i]=min(lz[i],id);push(i,l,r);
        return;
    }int m=(l+r)>>1;
    upd(2*i,l,m,tl,tr,id);upd(2*i+1,m+1,r,tl,tr,id);
    t[i]=min(t[2*i],t[2*i+1]);
}
int qr(int i,int l,int r,int tl,int tr){
    push(i,l,r);
    if(r<tl||l>tr)return 1e9;
    if(r<=tr&&l>=tl)return t[i];
    int m=(l+r)>>1;
    return min(qr(2*i,l,m,tl,tr),qr(2*i+1,m+1,r,tl,tr));
}
void update(int x,int y,int z){
    while(head[x]!=head[y]){
        if(dep[head[x]]<dep[head[y]])swap(x,y);
        upd(1,1,n,id[head[x]],id[x],z);
        x=pr[head[x]];
    }if(dep[x]>dep[y])swap(x,y);
    upd(1,1,n,id[x],id[y],z);
}
int query(int x,int y,int res=1e9){
    while(head[x]!=head[y]){
        if(dep[head[x]]<dep[head[y]])swap(x,y);
        res=min(qr(1,1,n,id[head[x]],id[x]),res);
        x=pr[head[x]];
    }if(dep[x]>dep[y])swap(x,y);
    res=min(res,qr(1,1,n,id[x],id[y]));return res;
}
void dfssz(int u,int p,int l){
    sz[u]=1;dep[u]=l;pr[u]=p;
    for(auto v:g[u]){
        if(v==p)continue;dfssz(v,u,l+1);
        sz[u]+=sz[v];
    }
}
void hld(int u,int p,int tp){
    head[u]=tp;id[u]=++cur;
    int hc=-1,hv=-1;
    for(auto v:g[u]){
        if(v==p)continue;
        if(sz[v]>hc)hv=v,hc=sz[v];
    }if(hv==-1)return;
    hld(hv,u,tp);
    for(auto v:g[u]){
        if(v==p||v==hv)continue;
        hld(v,u,v);
    }
}vector<int>gr[N];
int main(){
    ios_base::sync_with_stdio(0);cin.tie(0);
    int k;cin>>n>>k;
    for(int i=0;i<4*N;i++)t[i]=lz[i]=1e9;
    for(int i=1;i<=n-1;i++){
        int u,v;cin>>u>>v;g[u].pb(v);g[v].pb(u);
    }dfssz(1,1,0);hld(1,1,1);bool ok=1;
    for(int i=1,x;i<=n;i++)cin>>x,gr[x].pb(i);
    for(int i=1;i<=k;i++){
        if(gr[i].empty())continue;
        int top=gr[i][0];int res=cp;
        for(int j=0;j<gr[i].size();j++)res=min(res,query(top,gr[i][j]));
        for(int j=0;j<gr[i].size();j++)update(top,gr[i][j],res);
        cp++;
    }
    for(int i=1;i<=k;i++){
        if(gr[i].empty())continue;
        int top=gr[i][0];int res=1e9;
        for(int j=0;j<gr[i].size();j++)res=min(res,query(top,gr[i][j]));
        for(int j=0;j<gr[i].size();j++)update(top,gr[i][j],res);
    }
    for(int i=1;i<=n;i++)pos[i]=qr(1,1,n,id[i],id[i]);
    for(int i=1;i<=n;i++){
        for(auto v:g[i]){
            if(pos[v]==pos[i])continue;
            gg[pos[v]].insert(pos[i]);
            gg[pos[i]].insert(pos[v]);
        }
    }int ct=0;
    for(int i=1;i<=n;i++){
        if(gg[i].empty())continue;
        if(gg[i].size()==1)ct++;
    }cout<<(ct+1)/2;
}

Compilation message

mergers.cpp: In function 'void dfssz(int, int, int)':
mergers.cpp:61:9: warning: this 'if' clause does not guard... [-Wmisleading-indentation]
   61 |         if(v==p)continue;dfssz(v,u,l+1);
      |         ^~
mergers.cpp:61:26: note: ...this statement, but the latter is misleadingly indented as if it were guarded by the 'if'
   61 |         if(v==p)continue;dfssz(v,u,l+1);
      |                          ^~~~~
mergers.cpp: In function 'int main()':
mergers.cpp:89:22: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
   89 |         for(int j=0;j<gr[i].size();j++)res=min(res,query(top,gr[i][j]));
      |                     ~^~~~~~~~~~~~~
mergers.cpp:90:22: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
   90 |         for(int j=0;j<gr[i].size();j++)update(top,gr[i][j],res);
      |                     ~^~~~~~~~~~~~~
mergers.cpp:96:22: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
   96 |         for(int j=0;j<gr[i].size();j++)res=min(res,query(top,gr[i][j]));
      |                     ~^~~~~~~~~~~~~
mergers.cpp:97:22: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
   97 |         for(int j=0;j<gr[i].size();j++)update(top,gr[i][j],res);
      |                     ~^~~~~~~~~~~~~
mergers.cpp:84:35: warning: unused variable 'ok' [-Wunused-variable]
   84 |     }dfssz(1,1,0);hld(1,1,1);bool ok=1;
      |                                   ^~
# Verdict Execution time Memory Grader output
1 Correct 22 ms 74584 KB Output is correct
2 Correct 20 ms 74820 KB Output is correct
3 Correct 20 ms 74584 KB Output is correct
4 Correct 20 ms 74584 KB Output is correct
5 Correct 19 ms 74788 KB Output is correct
6 Correct 19 ms 74772 KB Output is correct
7 Correct 19 ms 74584 KB Output is correct
8 Correct 20 ms 74588 KB Output is correct
9 Correct 19 ms 74764 KB Output is correct
10 Correct 19 ms 74584 KB Output is correct
11 Correct 21 ms 74600 KB Output is correct
12 Correct 19 ms 74584 KB Output is correct
13 Correct 19 ms 74584 KB Output is correct
14 Correct 19 ms 74588 KB Output is correct
15 Correct 20 ms 74732 KB Output is correct
16 Correct 19 ms 74584 KB Output is correct
17 Correct 18 ms 74584 KB Output is correct
18 Correct 20 ms 74800 KB Output is correct
19 Correct 21 ms 74584 KB Output is correct
20 Correct 22 ms 74584 KB Output is correct
21 Correct 19 ms 74584 KB Output is correct
22 Correct 19 ms 74588 KB Output is correct
23 Correct 19 ms 74584 KB Output is correct
24 Correct 20 ms 74840 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 22 ms 74584 KB Output is correct
2 Correct 20 ms 74820 KB Output is correct
3 Correct 20 ms 74584 KB Output is correct
4 Correct 20 ms 74584 KB Output is correct
5 Correct 19 ms 74788 KB Output is correct
6 Correct 19 ms 74772 KB Output is correct
7 Correct 19 ms 74584 KB Output is correct
8 Correct 20 ms 74588 KB Output is correct
9 Correct 19 ms 74764 KB Output is correct
10 Correct 19 ms 74584 KB Output is correct
11 Correct 21 ms 74600 KB Output is correct
12 Correct 19 ms 74584 KB Output is correct
13 Correct 19 ms 74584 KB Output is correct
14 Correct 19 ms 74588 KB Output is correct
15 Correct 20 ms 74732 KB Output is correct
16 Correct 19 ms 74584 KB Output is correct
17 Correct 18 ms 74584 KB Output is correct
18 Correct 20 ms 74800 KB Output is correct
19 Correct 21 ms 74584 KB Output is correct
20 Correct 22 ms 74584 KB Output is correct
21 Correct 19 ms 74584 KB Output is correct
22 Correct 19 ms 74588 KB Output is correct
23 Correct 19 ms 74584 KB Output is correct
24 Correct 20 ms 74840 KB Output is correct
25 Correct 18 ms 74584 KB Output is correct
26 Correct 23 ms 75096 KB Output is correct
27 Correct 25 ms 75048 KB Output is correct
28 Correct 23 ms 75096 KB Output is correct
29 Correct 27 ms 75296 KB Output is correct
30 Correct 29 ms 74840 KB Output is correct
31 Correct 19 ms 74784 KB Output is correct
32 Correct 24 ms 75480 KB Output is correct
33 Correct 22 ms 74728 KB Output is correct
34 Correct 26 ms 74840 KB Output is correct
35 Correct 23 ms 75096 KB Output is correct
36 Correct 25 ms 74840 KB Output is correct
37 Correct 26 ms 74756 KB Output is correct
38 Correct 21 ms 74584 KB Output is correct
39 Correct 31 ms 74840 KB Output is correct
40 Correct 26 ms 74844 KB Output is correct
41 Correct 33 ms 74840 KB Output is correct
42 Correct 23 ms 74840 KB Output is correct
43 Correct 23 ms 75096 KB Output is correct
44 Correct 18 ms 74780 KB Output is correct
45 Correct 26 ms 75032 KB Output is correct
46 Correct 24 ms 74796 KB Output is correct
47 Correct 19 ms 74584 KB Output is correct
48 Correct 24 ms 74840 KB Output is correct
49 Correct 24 ms 75096 KB Output is correct
50 Correct 24 ms 75240 KB Output is correct
51 Correct 26 ms 74956 KB Output is correct
52 Correct 26 ms 74840 KB Output is correct
53 Correct 26 ms 75096 KB Output is correct
54 Correct 30 ms 75096 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 22 ms 74584 KB Output is correct
2 Correct 20 ms 74820 KB Output is correct
3 Correct 20 ms 74584 KB Output is correct
4 Correct 20 ms 74584 KB Output is correct
5 Correct 19 ms 74788 KB Output is correct
6 Correct 19 ms 74772 KB Output is correct
7 Correct 19 ms 74584 KB Output is correct
8 Correct 20 ms 74588 KB Output is correct
9 Correct 19 ms 74764 KB Output is correct
10 Correct 19 ms 74584 KB Output is correct
11 Correct 21 ms 74600 KB Output is correct
12 Correct 19 ms 74584 KB Output is correct
13 Correct 19 ms 74584 KB Output is correct
14 Correct 19 ms 74588 KB Output is correct
15 Correct 20 ms 74732 KB Output is correct
16 Correct 19 ms 74584 KB Output is correct
17 Correct 18 ms 74584 KB Output is correct
18 Correct 20 ms 74800 KB Output is correct
19 Correct 21 ms 74584 KB Output is correct
20 Correct 22 ms 74584 KB Output is correct
21 Correct 19 ms 74584 KB Output is correct
22 Correct 19 ms 74588 KB Output is correct
23 Correct 19 ms 74584 KB Output is correct
24 Correct 20 ms 74840 KB Output is correct
25 Correct 20 ms 74584 KB Output is correct
26 Correct 298 ms 78916 KB Output is correct
27 Correct 824 ms 78568 KB Output is correct
28 Correct 23 ms 74972 KB Output is correct
29 Correct 21 ms 74584 KB Output is correct
30 Correct 20 ms 74588 KB Output is correct
31 Correct 584 ms 78544 KB Output is correct
32 Correct 25 ms 75096 KB Output is correct
33 Correct 280 ms 85736 KB Output is correct
34 Correct 766 ms 78616 KB Output is correct
35 Correct 26 ms 74768 KB Output is correct
36 Correct 264 ms 79264 KB Output is correct
37 Correct 27 ms 74840 KB Output is correct
38 Correct 27 ms 74840 KB Output is correct
39 Correct 332 ms 78920 KB Output is correct
40 Correct 27 ms 75252 KB Output is correct
41 Correct 530 ms 78680 KB Output is correct
42 Correct 346 ms 80916 KB Output is correct
43 Correct 20 ms 74584 KB Output is correct
44 Correct 205 ms 85964 KB Output is correct
45 Correct 355 ms 82316 KB Output is correct
46 Correct 27 ms 74800 KB Output is correct
47 Correct 31 ms 74844 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 328 ms 78792 KB Output is correct
2 Correct 286 ms 90680 KB Output is correct
3 Correct 24 ms 75048 KB Output is correct
4 Correct 28 ms 74840 KB Output is correct
5 Correct 19 ms 74820 KB Output is correct
6 Correct 19 ms 74584 KB Output is correct
7 Correct 24 ms 75088 KB Output is correct
8 Incorrect 351 ms 80392 KB Output isn't correct
9 Halted 0 ms 0 KB -
# Verdict Execution time Memory Grader output
1 Correct 22 ms 74584 KB Output is correct
2 Correct 20 ms 74820 KB Output is correct
3 Correct 20 ms 74584 KB Output is correct
4 Correct 20 ms 74584 KB Output is correct
5 Correct 19 ms 74788 KB Output is correct
6 Correct 19 ms 74772 KB Output is correct
7 Correct 19 ms 74584 KB Output is correct
8 Correct 20 ms 74588 KB Output is correct
9 Correct 19 ms 74764 KB Output is correct
10 Correct 19 ms 74584 KB Output is correct
11 Correct 21 ms 74600 KB Output is correct
12 Correct 19 ms 74584 KB Output is correct
13 Correct 19 ms 74584 KB Output is correct
14 Correct 19 ms 74588 KB Output is correct
15 Correct 20 ms 74732 KB Output is correct
16 Correct 19 ms 74584 KB Output is correct
17 Correct 18 ms 74584 KB Output is correct
18 Correct 20 ms 74800 KB Output is correct
19 Correct 21 ms 74584 KB Output is correct
20 Correct 22 ms 74584 KB Output is correct
21 Correct 19 ms 74584 KB Output is correct
22 Correct 19 ms 74588 KB Output is correct
23 Correct 19 ms 74584 KB Output is correct
24 Correct 20 ms 74840 KB Output is correct
25 Correct 18 ms 74584 KB Output is correct
26 Correct 23 ms 75096 KB Output is correct
27 Correct 25 ms 75048 KB Output is correct
28 Correct 23 ms 75096 KB Output is correct
29 Correct 27 ms 75296 KB Output is correct
30 Correct 29 ms 74840 KB Output is correct
31 Correct 19 ms 74784 KB Output is correct
32 Correct 24 ms 75480 KB Output is correct
33 Correct 22 ms 74728 KB Output is correct
34 Correct 26 ms 74840 KB Output is correct
35 Correct 23 ms 75096 KB Output is correct
36 Correct 25 ms 74840 KB Output is correct
37 Correct 26 ms 74756 KB Output is correct
38 Correct 21 ms 74584 KB Output is correct
39 Correct 31 ms 74840 KB Output is correct
40 Correct 26 ms 74844 KB Output is correct
41 Correct 33 ms 74840 KB Output is correct
42 Correct 23 ms 74840 KB Output is correct
43 Correct 23 ms 75096 KB Output is correct
44 Correct 18 ms 74780 KB Output is correct
45 Correct 26 ms 75032 KB Output is correct
46 Correct 24 ms 74796 KB Output is correct
47 Correct 19 ms 74584 KB Output is correct
48 Correct 24 ms 74840 KB Output is correct
49 Correct 24 ms 75096 KB Output is correct
50 Correct 24 ms 75240 KB Output is correct
51 Correct 26 ms 74956 KB Output is correct
52 Correct 26 ms 74840 KB Output is correct
53 Correct 26 ms 75096 KB Output is correct
54 Correct 30 ms 75096 KB Output is correct
55 Correct 20 ms 74584 KB Output is correct
56 Correct 298 ms 78916 KB Output is correct
57 Correct 824 ms 78568 KB Output is correct
58 Correct 23 ms 74972 KB Output is correct
59 Correct 21 ms 74584 KB Output is correct
60 Correct 20 ms 74588 KB Output is correct
61 Correct 584 ms 78544 KB Output is correct
62 Correct 25 ms 75096 KB Output is correct
63 Correct 280 ms 85736 KB Output is correct
64 Correct 766 ms 78616 KB Output is correct
65 Correct 26 ms 74768 KB Output is correct
66 Correct 264 ms 79264 KB Output is correct
67 Correct 27 ms 74840 KB Output is correct
68 Correct 27 ms 74840 KB Output is correct
69 Correct 332 ms 78920 KB Output is correct
70 Correct 27 ms 75252 KB Output is correct
71 Correct 530 ms 78680 KB Output is correct
72 Correct 346 ms 80916 KB Output is correct
73 Correct 20 ms 74584 KB Output is correct
74 Correct 205 ms 85964 KB Output is correct
75 Correct 355 ms 82316 KB Output is correct
76 Correct 27 ms 74800 KB Output is correct
77 Correct 31 ms 74844 KB Output is correct
78 Correct 328 ms 78792 KB Output is correct
79 Correct 286 ms 90680 KB Output is correct
80 Correct 24 ms 75048 KB Output is correct
81 Correct 28 ms 74840 KB Output is correct
82 Correct 19 ms 74820 KB Output is correct
83 Correct 19 ms 74584 KB Output is correct
84 Correct 24 ms 75088 KB Output is correct
85 Incorrect 351 ms 80392 KB Output isn't correct
86 Halted 0 ms 0 KB -