Submission #919358

# Submission time Handle Problem Language Result Execution time Memory
919358 2024-01-31T16:27:51 Z imarn Mergers (JOI19_mergers) C++17
24 / 100
797 ms 90688 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=k;i>=1;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 74848 KB Output is correct
2 Correct 19 ms 74588 KB Output is correct
3 Correct 20 ms 74588 KB Output is correct
4 Correct 20 ms 74584 KB Output is correct
5 Correct 19 ms 74780 KB Output is correct
6 Correct 19 ms 74588 KB Output is correct
7 Correct 18 ms 74824 KB Output is correct
8 Correct 19 ms 74584 KB Output is correct
9 Correct 22 ms 74588 KB Output is correct
10 Correct 19 ms 74584 KB Output is correct
11 Correct 19 ms 74764 KB Output is correct
12 Correct 19 ms 74584 KB Output is correct
13 Correct 21 ms 74588 KB Output is correct
14 Correct 20 ms 74584 KB Output is correct
15 Correct 20 ms 75096 KB Output is correct
16 Correct 19 ms 74584 KB Output is correct
17 Correct 19 ms 74840 KB Output is correct
18 Correct 19 ms 74584 KB Output is correct
19 Correct 19 ms 74584 KB Output is correct
20 Correct 20 ms 74588 KB Output is correct
21 Correct 20 ms 74584 KB Output is correct
22 Correct 19 ms 74768 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 74848 KB Output is correct
2 Correct 19 ms 74588 KB Output is correct
3 Correct 20 ms 74588 KB Output is correct
4 Correct 20 ms 74584 KB Output is correct
5 Correct 19 ms 74780 KB Output is correct
6 Correct 19 ms 74588 KB Output is correct
7 Correct 18 ms 74824 KB Output is correct
8 Correct 19 ms 74584 KB Output is correct
9 Correct 22 ms 74588 KB Output is correct
10 Correct 19 ms 74584 KB Output is correct
11 Correct 19 ms 74764 KB Output is correct
12 Correct 19 ms 74584 KB Output is correct
13 Correct 21 ms 74588 KB Output is correct
14 Correct 20 ms 74584 KB Output is correct
15 Correct 20 ms 75096 KB Output is correct
16 Correct 19 ms 74584 KB Output is correct
17 Correct 19 ms 74840 KB Output is correct
18 Correct 19 ms 74584 KB Output is correct
19 Correct 19 ms 74584 KB Output is correct
20 Correct 20 ms 74588 KB Output is correct
21 Correct 20 ms 74584 KB Output is correct
22 Correct 19 ms 74768 KB Output is correct
23 Correct 19 ms 74584 KB Output is correct
24 Correct 20 ms 74840 KB Output is correct
25 Correct 19 ms 74584 KB Output is correct
26 Correct 25 ms 75100 KB Output is correct
27 Correct 24 ms 74844 KB Output is correct
28 Correct 26 ms 75284 KB Output is correct
29 Correct 25 ms 75352 KB Output is correct
30 Correct 31 ms 74944 KB Output is correct
31 Correct 20 ms 74584 KB Output is correct
32 Correct 23 ms 75144 KB Output is correct
33 Correct 19 ms 74776 KB Output is correct
34 Correct 25 ms 74844 KB Output is correct
35 Correct 26 ms 75088 KB Output is correct
36 Correct 25 ms 74840 KB Output is correct
37 Correct 26 ms 74988 KB Output is correct
38 Correct 20 ms 74584 KB Output is correct
39 Correct 28 ms 75096 KB Output is correct
40 Correct 26 ms 74840 KB Output is correct
41 Correct 30 ms 74960 KB Output is correct
42 Correct 24 ms 75028 KB Output is correct
43 Correct 23 ms 75096 KB Output is correct
44 Correct 20 ms 74584 KB Output is correct
45 Correct 23 ms 74896 KB Output is correct
46 Incorrect 25 ms 74840 KB Output isn't correct
47 Halted 0 ms 0 KB -
# Verdict Execution time Memory Grader output
1 Correct 22 ms 74848 KB Output is correct
2 Correct 19 ms 74588 KB Output is correct
3 Correct 20 ms 74588 KB Output is correct
4 Correct 20 ms 74584 KB Output is correct
5 Correct 19 ms 74780 KB Output is correct
6 Correct 19 ms 74588 KB Output is correct
7 Correct 18 ms 74824 KB Output is correct
8 Correct 19 ms 74584 KB Output is correct
9 Correct 22 ms 74588 KB Output is correct
10 Correct 19 ms 74584 KB Output is correct
11 Correct 19 ms 74764 KB Output is correct
12 Correct 19 ms 74584 KB Output is correct
13 Correct 21 ms 74588 KB Output is correct
14 Correct 20 ms 74584 KB Output is correct
15 Correct 20 ms 75096 KB Output is correct
16 Correct 19 ms 74584 KB Output is correct
17 Correct 19 ms 74840 KB Output is correct
18 Correct 19 ms 74584 KB Output is correct
19 Correct 19 ms 74584 KB Output is correct
20 Correct 20 ms 74588 KB Output is correct
21 Correct 20 ms 74584 KB Output is correct
22 Correct 19 ms 74768 KB Output is correct
23 Correct 19 ms 74584 KB Output is correct
24 Correct 20 ms 74840 KB Output is correct
25 Correct 21 ms 74584 KB Output is correct
26 Correct 291 ms 78844 KB Output is correct
27 Correct 792 ms 78568 KB Output is correct
28 Correct 23 ms 74840 KB Output is correct
29 Correct 20 ms 74584 KB Output is correct
30 Correct 21 ms 74584 KB Output is correct
31 Correct 542 ms 78540 KB Output is correct
32 Correct 26 ms 74844 KB Output is correct
33 Correct 263 ms 85736 KB Output is correct
34 Correct 797 ms 78628 KB Output is correct
35 Correct 26 ms 74844 KB Output is correct
36 Correct 269 ms 79296 KB Output is correct
37 Correct 28 ms 74840 KB Output is correct
38 Correct 28 ms 75096 KB Output is correct
39 Correct 326 ms 78924 KB Output is correct
40 Correct 23 ms 75032 KB Output is correct
41 Correct 558 ms 78676 KB Output is correct
42 Correct 331 ms 80912 KB Output is correct
43 Correct 20 ms 74584 KB Output is correct
44 Correct 212 ms 86136 KB Output is correct
45 Correct 340 ms 82316 KB Output is correct
46 Correct 25 ms 74840 KB Output is correct
47 Correct 31 ms 74840 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 292 ms 79052 KB Output is correct
2 Correct 288 ms 90688 KB Output is correct
3 Correct 24 ms 75132 KB Output is correct
4 Correct 25 ms 74840 KB Output is correct
5 Correct 18 ms 74584 KB Output is correct
6 Correct 20 ms 74840 KB Output is correct
7 Correct 28 ms 74832 KB Output is correct
8 Incorrect 348 ms 80392 KB Output isn't correct
9 Halted 0 ms 0 KB -
# Verdict Execution time Memory Grader output
1 Correct 22 ms 74848 KB Output is correct
2 Correct 19 ms 74588 KB Output is correct
3 Correct 20 ms 74588 KB Output is correct
4 Correct 20 ms 74584 KB Output is correct
5 Correct 19 ms 74780 KB Output is correct
6 Correct 19 ms 74588 KB Output is correct
7 Correct 18 ms 74824 KB Output is correct
8 Correct 19 ms 74584 KB Output is correct
9 Correct 22 ms 74588 KB Output is correct
10 Correct 19 ms 74584 KB Output is correct
11 Correct 19 ms 74764 KB Output is correct
12 Correct 19 ms 74584 KB Output is correct
13 Correct 21 ms 74588 KB Output is correct
14 Correct 20 ms 74584 KB Output is correct
15 Correct 20 ms 75096 KB Output is correct
16 Correct 19 ms 74584 KB Output is correct
17 Correct 19 ms 74840 KB Output is correct
18 Correct 19 ms 74584 KB Output is correct
19 Correct 19 ms 74584 KB Output is correct
20 Correct 20 ms 74588 KB Output is correct
21 Correct 20 ms 74584 KB Output is correct
22 Correct 19 ms 74768 KB Output is correct
23 Correct 19 ms 74584 KB Output is correct
24 Correct 20 ms 74840 KB Output is correct
25 Correct 19 ms 74584 KB Output is correct
26 Correct 25 ms 75100 KB Output is correct
27 Correct 24 ms 74844 KB Output is correct
28 Correct 26 ms 75284 KB Output is correct
29 Correct 25 ms 75352 KB Output is correct
30 Correct 31 ms 74944 KB Output is correct
31 Correct 20 ms 74584 KB Output is correct
32 Correct 23 ms 75144 KB Output is correct
33 Correct 19 ms 74776 KB Output is correct
34 Correct 25 ms 74844 KB Output is correct
35 Correct 26 ms 75088 KB Output is correct
36 Correct 25 ms 74840 KB Output is correct
37 Correct 26 ms 74988 KB Output is correct
38 Correct 20 ms 74584 KB Output is correct
39 Correct 28 ms 75096 KB Output is correct
40 Correct 26 ms 74840 KB Output is correct
41 Correct 30 ms 74960 KB Output is correct
42 Correct 24 ms 75028 KB Output is correct
43 Correct 23 ms 75096 KB Output is correct
44 Correct 20 ms 74584 KB Output is correct
45 Correct 23 ms 74896 KB Output is correct
46 Incorrect 25 ms 74840 KB Output isn't correct
47 Halted 0 ms 0 KB -