oj.uz

Submission #777113

# Submission time Handle Problem Language Result Execution time Memory
777113 2023-07-08T16:52:43 Z bachhoangxuan Capital City (JOI20_capital_city) C++17
100 / 100
 2691 ms 362872 KB 
// Judges with GCC >= 12 only needs Ofast
// #pragma GCC optimize("O3,no-stack-protector,fast-math,unroll-loops,tree-vectorize")
// MLE optimization
// #pragma GCC optimize("conserve-stack")
// Old judges
// #pragma GCC target("sse4.2,popcnt,lzcnt,abm,mmx,fma,bmi,bmi2")
// New judges. Test with assert(__builtin_cpu_supports("avx2"));
// #pragma GCC target("avx2,popcnt,lzcnt,abm,bmi,bmi2,fma,tune=native")
// Atcoder
// #pragma GCC target("avx2,popcnt,lzcnt,abm,bmi,bmi2,fma")
/*
#include <ext/pb_ds/assoc_container.hpp>
#include <ext/pb_ds/tree_policy.hpp>
using namespace __gnu_pbds;
typedef tree<int,null_type,less<int>,rb_tree_tag,tree_order_statistics_node_update> ordered_set;
- insert(x),erase(x)
- find_by_order(k): return iterator to the k-th smallest element
- order_of_key(x): the number of elements that are strictly smaller
*/
#include<bits/stdc++.h>
using namespace std;
mt19937_64 rng(chrono::steady_clock::now().time_since_epoch().count());
uniform_real_distribution<> pp(0.0,1.0);
//#define int long long
#define ld long double
#define pii pair<int,int>
#define piii pair<pii,int>
#define mpp make_pair
#define fi first
#define se second
//const int inf=1e18;
const int mod=1e9+7;
const int maxn=200005;
const int bl=650;
const int maxs=655;
const int maxm=200005;
const int maxq=500005;
const int maxl=18;
const int maxa=250000;
const int root=3;
/*
int power(int a,int n){
    int res=1;
    while(n){
        if(n&1) res=res*a%mod;
        a=a*a%mod;n>>=1;
    }
    return res;
}
const int iroot=power(3,mod-2);
*/
const int base=101;
void solve(){
    int cnt,n,k;cin >> n >> k;cnt=n*maxl;
    vector<vector<int>> par(n+1,vector<int>(maxl,0)),edge(cnt+1),adj(n+1);
    vector<int> dep(n+1,0);
    for(int i=1;i<n;i++){
        int u,v;cin >> u >> v;
        adj[u].push_back(v);
        adj[v].push_back(u);
    }
    function<void(int,int)> dfs = [&](int u,int p){
        par[u][0]=p;dep[u]=dep[p]+1;
        for(int v:adj[u]){
            if(v==p) continue;
            dfs(v,u);
        }
    };
    dfs(1,0);
    vector<int> col(n+1);
    for(int i=1;i<=n;i++) cin >> col[i];
    for(int i=1;i<maxl;i++){
        for(int j=1;j<=n;j++){
            par[j][i]=par[par[j][i-1]][i-1];
            edge[n*i+j].push_back(n*(i-1)+(i==1?col[j]:j));
            if(par[j][i-1]) edge[n*i+j].push_back(n*(i-1)+(i==1?col[par[j][i-1]]:par[j][i-1]));
        }
    }
    auto lca = [=](int u,int v){
        if(dep[u]>dep[v]) swap(u,v);
        for(int i=0;i<maxl;i++){
            if((dep[v]-dep[u])&(1<<i)) v=par[v][i];
        }
        if(v==u) return u;
        for(int i=maxl-1;i>=0;i--){
            if(par[u][i]!=par[v][i]){
                u=par[u][i];
                v=par[v][i];
            }
        }
        return par[u][0];
    };
    vector<int> pre(k+1,0);
    for(int j=1;j<=n;j++){
        if(pre[col[j]]){
            int u=pre[col[j]],v=j;
            int a=par[lca(u,v)][0],cc=col[v];
            //cout << u << ' ' << v << '\n';
            for(int i=maxl-1;i>=0;i--){
                if((dep[u]-dep[a])&(1<<i)){
                    edge[cc].push_back(i*n+(i==0?col[u]:u));
                    //cout << cc << ' ' << i*n+(i==0?col[u]) << '\n';
                    u=par[u][i];
                }
            }
            for(int i=maxl-1;i>=0;i--){
                if((dep[v]-dep[a])&(1<<i)){
                    edge[cc].push_back(i*n+(i==0?col[v]:v));
                    //cout << cc << ' ' << i*n+(i==0?col[v]:v) << '\n';
                    v=par[v][i];
                }
            }
        }
        pre[col[j]]=j;
    }
    int pos=0,scc_cnt=0;
    vector<int> low(cnt+1,0),num(cnt+1,0),st,scc(cnt+1,-1),val;
    vector<bool> inst(cnt+1,false);
    int Min=k;
    function<void(int)> dfs2 = [&](int u){
        num[u]=low[u]=++pos;
        st.push_back(u);inst[u]=true;
        for(int v:edge[u]){
            if(!num[v]){
                dfs2(v);
                low[u]=min(low[u],low[v]);
            }
            else if(inst[v]) low[u]=min(low[u],num[v]);
        }
        if(low[u]==num[u]){
            int v=0;val.push_back(0);
            do{
                v=st.back();st.pop_back();
                inst[v]=false;scc[v]=scc_cnt;val.back()+=(v<=k);
                //if(v<=k) cout << scc_cnt << ' ' << v << '\n';
            }
            while(v!=u);
            scc_cnt++;
        }
    };
    for(int i=1;i<=cnt;i++){
        if(!num[i]) dfs2(i);
    }
    for(int i=1;i<=cnt;i++){
        for(int v:edge[i]){
            //cout << i << ' ' << v << ' ' << scc[i] << ' ' << scc[v] << '\n';
            if(scc[i]!=scc[v]) val[scc[i]]=k;
        }
    }
    for(int i=0;i<scc_cnt;i++){
        if(val[i]) Min=min(Min,val[i]-1);
    }
    cout << Min << '\n';
}
signed main(){
    ios_base::sync_with_stdio(false);
    cin.tie(NULL);cout.tie(NULL);
    int test=1;//cin >> test;
    while(test--) solve();
}

Subtask #1
1.0 / 1.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 340 KB Output is correct
2 Correct 0 ms 340 KB Output is correct
3 Correct 1 ms 340 KB Output is correct
4 Correct 1 ms 340 KB Output is correct
5 Correct 1 ms 340 KB Output is correct
6 Correct 1 ms 340 KB Output is correct
7 Correct 1 ms 340 KB Output is correct
8 Correct 1 ms 340 KB Output is correct
9 Correct 1 ms 340 KB Output is correct
10 Correct 1 ms 212 KB Output is correct

Subtask #2
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 340 KB Output is correct
2 Correct 0 ms 340 KB Output is correct
3 Correct 1 ms 340 KB Output is correct
4 Correct 1 ms 340 KB Output is correct
5 Correct 1 ms 340 KB Output is correct
6 Correct 1 ms 340 KB Output is correct
7 Correct 1 ms 340 KB Output is correct
8 Correct 1 ms 340 KB Output is correct
9 Correct 1 ms 340 KB Output is correct
10 Correct 1 ms 212 KB Output is correct
11 Correct 5 ms 3540 KB Output is correct
12 Correct 5 ms 3540 KB Output is correct
13 Correct 5 ms 3516 KB Output is correct
14 Correct 4 ms 3536 KB Output is correct
15 Correct 5 ms 3540 KB Output is correct
16 Correct 5 ms 3540 KB Output is correct
17 Correct 5 ms 3540 KB Output is correct
18 Correct 5 ms 3540 KB Output is correct
19 Correct 5 ms 3532 KB Output is correct
20 Correct 6 ms 3540 KB Output is correct
21 Correct 6 ms 3540 KB Output is correct
22 Correct 5 ms 3668 KB Output is correct
23 Correct 6 ms 3796 KB Output is correct
24 Correct 5 ms 3668 KB Output is correct
25 Correct 5 ms 3532 KB Output is correct
26 Correct 5 ms 3668 KB Output is correct
27 Correct 5 ms 3668 KB Output is correct
28 Correct 8 ms 3540 KB Output is correct
29 Correct 5 ms 3540 KB Output is correct
30 Correct 5 ms 3540 KB Output is correct

Subtask #3
30.0 / 30.0

# Verdict Execution time Memory Grader output
1 Correct 2691 ms 362872 KB Output is correct
2 Correct 580 ms 322864 KB Output is correct
3 Correct 2578 ms 332688 KB Output is correct
4 Correct 577 ms 322836 KB Output is correct
5 Correct 2500 ms 359484 KB Output is correct
6 Correct 583 ms 322652 KB Output is correct
7 Correct 2494 ms 349324 KB Output is correct
8 Correct 567 ms 330308 KB Output is correct
9 Correct 1970 ms 322120 KB Output is correct
10 Correct 2005 ms 319708 KB Output is correct
11 Correct 2088 ms 322584 KB Output is correct
12 Correct 2003 ms 324908 KB Output is correct
13 Correct 1989 ms 319320 KB Output is correct
14 Correct 1982 ms 324924 KB Output is correct
15 Correct 2158 ms 324956 KB Output is correct
16 Correct 1996 ms 320140 KB Output is correct
17 Correct 2012 ms 320884 KB Output is correct
18 Correct 2001 ms 320644 KB Output is correct
19 Correct 2001 ms 324392 KB Output is correct
20 Correct 2035 ms 325504 KB Output is correct
21 Correct 0 ms 212 KB Output is correct

Subtask #4
59.0 / 59.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 340 KB Output is correct
2 Correct 0 ms 340 KB Output is correct
3 Correct 1 ms 340 KB Output is correct
4 Correct 1 ms 340 KB Output is correct
5 Correct 1 ms 340 KB Output is correct
6 Correct 1 ms 340 KB Output is correct
7 Correct 1 ms 340 KB Output is correct
8 Correct 1 ms 340 KB Output is correct
9 Correct 1 ms 340 KB Output is correct
10 Correct 1 ms 212 KB Output is correct
11 Correct 5 ms 3540 KB Output is correct
12 Correct 5 ms 3540 KB Output is correct
13 Correct 5 ms 3516 KB Output is correct
14 Correct 4 ms 3536 KB Output is correct
15 Correct 5 ms 3540 KB Output is correct
16 Correct 5 ms 3540 KB Output is correct
17 Correct 5 ms 3540 KB Output is correct
18 Correct 5 ms 3540 KB Output is correct
19 Correct 5 ms 3532 KB Output is correct
20 Correct 6 ms 3540 KB Output is correct
21 Correct 6 ms 3540 KB Output is correct
22 Correct 5 ms 3668 KB Output is correct
23 Correct 6 ms 3796 KB Output is correct
24 Correct 5 ms 3668 KB Output is correct
25 Correct 5 ms 3532 KB Output is correct
26 Correct 5 ms 3668 KB Output is correct
27 Correct 5 ms 3668 KB Output is correct
28 Correct 8 ms 3540 KB Output is correct
29 Correct 5 ms 3540 KB Output is correct
30 Correct 5 ms 3540 KB Output is correct
31 Correct 2691 ms 362872 KB Output is correct
32 Correct 580 ms 322864 KB Output is correct
33 Correct 2578 ms 332688 KB Output is correct
34 Correct 577 ms 322836 KB Output is correct
35 Correct 2500 ms 359484 KB Output is correct
36 Correct 583 ms 322652 KB Output is correct
37 Correct 2494 ms 349324 KB Output is correct
38 Correct 567 ms 330308 KB Output is correct
39 Correct 1970 ms 322120 KB Output is correct
40 Correct 2005 ms 319708 KB Output is correct
41 Correct 2088 ms 322584 KB Output is correct
42 Correct 2003 ms 324908 KB Output is correct
43 Correct 1989 ms 319320 KB Output is correct
44 Correct 1982 ms 324924 KB Output is correct
45 Correct 2158 ms 324956 KB Output is correct
46 Correct 1996 ms 320140 KB Output is correct
47 Correct 2012 ms 320884 KB Output is correct
48 Correct 2001 ms 320644 KB Output is correct
49 Correct 2001 ms 324392 KB Output is correct
50 Correct 2035 ms 325504 KB Output is correct
51 Correct 0 ms 212 KB Output is correct
52 Correct 751 ms 320232 KB Output is correct
53 Correct 755 ms 320276 KB Output is correct
54 Correct 738 ms 320312 KB Output is correct
55 Correct 760 ms 320480 KB Output is correct
56 Correct 765 ms 320200 KB Output is correct
57 Correct 734 ms 320224 KB Output is correct
58 Correct 1462 ms 324392 KB Output is correct
59 Correct 1514 ms 324240 KB Output is correct
60 Correct 1727 ms 311860 KB Output is correct
61 Correct 1864 ms 312172 KB Output is correct
62 Correct 603 ms 322752 KB Output is correct
63 Correct 582 ms 322768 KB Output is correct
64 Correct 552 ms 321972 KB Output is correct
65 Correct 593 ms 322636 KB Output is correct
66 Correct 1595 ms 323400 KB Output is correct
67 Correct 1666 ms 323960 KB Output is correct
68 Correct 1619 ms 323432 KB Output is correct
69 Correct 1618 ms 323400 KB Output is correct
70 Correct 1606 ms 323292 KB Output is correct
71 Correct 1578 ms 323300 KB Output is correct
72 Correct 1540 ms 323204 KB Output is correct
73 Correct 1671 ms 323608 KB Output is correct
74 Correct 1512 ms 323384 KB Output is correct
75 Correct 1582 ms 323260 KB Output is correct
76 Correct 956 ms 317816 KB Output is correct
77 Correct 960 ms 315728 KB Output is correct
78 Correct 1962 ms 320580 KB Output is correct
79 Correct 1979 ms 318232 KB Output is correct
80 Correct 2008 ms 325560 KB Output is correct
81 Correct 1981 ms 323144 KB Output is correct
82 Correct 1965 ms 322536 KB Output is correct
83 Correct 2009 ms 318828 KB Output is correct
84 Correct 2005 ms 325036 KB Output is correct
85 Correct 1980 ms 323816 KB Output is correct
86 Correct 1987 ms 318296 KB Output is correct
87 Correct 1991 ms 320548 KB Output is correct
88 Correct 1863 ms 326568 KB Output is correct
89 Correct 1848 ms 317076 KB Output is correct
90 Correct 1897 ms 321348 KB Output is correct
91 Correct 1886 ms 319360 KB Output is correct
92 Correct 1882 ms 318084 KB Output is correct
93 Correct 1858 ms 321732 KB Output is correct
94 Correct 1864 ms 320888 KB Output is correct
95 Correct 1881 ms 323212 KB Output is correct
96 Correct 1895 ms 321472 KB Output is correct
97 Correct 1872 ms 323324 KB Output is correct