oj.uz

Submission #915266

# Submission time Handle Problem Language Result Execution time Memory
915266 2024-01-23T15:16:57 Z Tuanlinh123 Capital City (JOI20_capital_city) C++17
100 / 100
 261 ms 221036 KB 
#include<bits/stdc++.h>
#define ll long long
#define pll pair<ll, ll>
#define pb push_back
#define mp make_pair
#define fi first
#define se second
#define ld long double
using namespace std;

const ll maxn=1000005, inf=1e9;
stack <ll> st;
vector <pll> euler;
pll sp[20][maxn*2]; 
vector <ll> A[maxn], B[maxn];
ll c[maxn], lca[maxn], pa[maxn], r[maxn];
ll cnt, Time, num[maxn], lo[maxn], comp[maxn], sz[maxn];

void dfs(ll u)
{
    lca[u]=euler.size()+1;
    euler.pb({lca[u], u});
    for (ll v:A[u])
    {
        if (v==pa[u])
            continue;
        pa[v]=u, dfs(v);
        euler.pb({lca[u], u});
    }
}

void initlca()
{
    ll n=euler.size();
    for (ll i=0; i<n; i++)
        sp[0][i+1]=euler[i];
    for (ll i=1; i<20; i++)
        for (ll j=1; j+(1<<i)<=n+1; j++)
            sp[i][j]=min(sp[i-1][j], sp[i-1][j+(1<<i-1)]);
}

ll LCA(ll u, ll v)
{
    ll l=lca[u], r=lca[v];
    if (l>r) swap(l, r);
    ll j=__lg(r-l+1);
    return min(sp[j][l], sp[j][r-(1<<j)+1]).se;
}

void dfs2(ll u)
{
    bool ok=1;
    st.push(u);
    lo[u]=num[u]=++Time;
    for (ll v:B[u])
    {
        if (num[v])
        {
            if (comp[v]) comp[u]=inf;
            lo[u]=min(lo[u], num[v]);
        } 
        else
        {
            dfs2(v), lo[u]=min(lo[u], lo[v]);
            if (comp[v]) comp[u]=inf;
        }
    }
    if (lo[u]==num[u])
    {
        cnt++;
        while (st.top()!=u)
        {
            if (comp[st.top()]) sz[cnt]=inf;
            else comp[st.top()]=cnt, sz[cnt]++;
            num[st.top()]=inf, st.pop();
        }
        if (comp[st.top()]) sz[cnt]=inf;
        else comp[st.top()]=cnt, sz[cnt]++;
        num[st.top()]=inf, st.pop();
    }
}

int main()
{
    ios_base::sync_with_stdio(0);
    cin.tie(0); cout.tie(0);
    ll n, k, ans=inf; cin >> n >> k;
    for (ll i=1; i<n; i++)
    {
        ll u, v; cin >> u >> v;
        A[u].pb(v); A[v].pb(u);
    }
    dfs(1), initlca();
    for (ll i=1; i<=n; i++) 
    {
        cin >> c[i];
        if (!r[c[i]]) r[c[i]]=i;
        else r[c[i]]=LCA(r[c[i]], i);
    }
    for (ll i=1; i<=n; i++)
        if (pa[i] && i!=r[c[i]])
            B[c[i]].pb(c[pa[i]]);
    for (ll i=1; i<=k; i++)
        if (!num[i])
            dfs2(i);
    for (ll i=1; i<=cnt; i++)
        ans=min(ans, sz[i]-1);
    cout << ans << "\n";
}

Compilation message

capital_city.cpp: In function 'void initlca()':
capital_city.cpp:39:53: warning: suggest parentheses around '-' inside '<<' [-Wparentheses]
   39 |             sp[i][j]=min(sp[i-1][j], sp[i-1][j+(1<<i-1)]);
      |                                                    ~^~
capital_city.cpp: In function 'void dfs2(long long int)':
capital_city.cpp:52:10: warning: unused variable 'ok' [-Wunused-variable]
   52 |     bool ok=1;
      |          ^~

Subtask #1
1.0 / 1.0

# Verdict Execution time Memory Grader output
1 Correct 18 ms 66140 KB Output is correct
2 Correct 17 ms 66028 KB Output is correct
3 Correct 18 ms 65988 KB Output is correct
4 Correct 18 ms 66140 KB Output is correct
5 Correct 18 ms 66136 KB Output is correct
6 Correct 18 ms 66024 KB Output is correct
7 Correct 18 ms 66136 KB Output is correct
8 Correct 18 ms 66140 KB Output is correct
9 Correct 19 ms 66136 KB Output is correct
10 Correct 18 ms 55640 KB Output is correct

Subtask #2
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 18 ms 66140 KB Output is correct
2 Correct 17 ms 66028 KB Output is correct
3 Correct 18 ms 65988 KB Output is correct
4 Correct 18 ms 66140 KB Output is correct
5 Correct 18 ms 66136 KB Output is correct
6 Correct 18 ms 66024 KB Output is correct
7 Correct 18 ms 66136 KB Output is correct
8 Correct 18 ms 66140 KB Output is correct
9 Correct 19 ms 66136 KB Output is correct
10 Correct 18 ms 55640 KB Output is correct
11 Correct 21 ms 78680 KB Output is correct
12 Correct 22 ms 78652 KB Output is correct
13 Correct 21 ms 78676 KB Output is correct
14 Correct 20 ms 78684 KB Output is correct
15 Correct 21 ms 78656 KB Output is correct
16 Correct 21 ms 78684 KB Output is correct
17 Correct 21 ms 78684 KB Output is correct
18 Correct 21 ms 78684 KB Output is correct
19 Correct 22 ms 78684 KB Output is correct
20 Correct 20 ms 78684 KB Output is correct
21 Correct 21 ms 78684 KB Output is correct
22 Correct 21 ms 78684 KB Output is correct
23 Correct 21 ms 78728 KB Output is correct
24 Correct 21 ms 78736 KB Output is correct
25 Correct 22 ms 78604 KB Output is correct
26 Correct 23 ms 78680 KB Output is correct
27 Correct 21 ms 78844 KB Output is correct
28 Correct 22 ms 78600 KB Output is correct
29 Correct 21 ms 78620 KB Output is correct
30 Correct 23 ms 78680 KB Output is correct

Subtask #3
30.0 / 30.0

# Verdict Execution time Memory Grader output
1 Correct 221 ms 220576 KB Output is correct
2 Correct 157 ms 218696 KB Output is correct
3 Correct 243 ms 217580 KB Output is correct
4 Correct 165 ms 220452 KB Output is correct
5 Correct 207 ms 216624 KB Output is correct
6 Correct 142 ms 219116 KB Output is correct
7 Correct 189 ms 216372 KB Output is correct
8 Correct 140 ms 219752 KB Output is correct
9 Correct 198 ms 215216 KB Output is correct
10 Correct 201 ms 214028 KB Output is correct
11 Correct 204 ms 215824 KB Output is correct
12 Correct 206 ms 218164 KB Output is correct
13 Correct 210 ms 211876 KB Output is correct
14 Correct 261 ms 220036 KB Output is correct
15 Correct 202 ms 217584 KB Output is correct
16 Correct 195 ms 211892 KB Output is correct
17 Correct 223 ms 213236 KB Output is correct
18 Correct 212 ms 213148 KB Output is correct
19 Correct 203 ms 216748 KB Output is correct
20 Correct 257 ms 219360 KB Output is correct
21 Correct 17 ms 55644 KB Output is correct

Subtask #4
59.0 / 59.0

# Verdict Execution time Memory Grader output
1 Correct 18 ms 66140 KB Output is correct
2 Correct 17 ms 66028 KB Output is correct
3 Correct 18 ms 65988 KB Output is correct
4 Correct 18 ms 66140 KB Output is correct
5 Correct 18 ms 66136 KB Output is correct
6 Correct 18 ms 66024 KB Output is correct
7 Correct 18 ms 66136 KB Output is correct
8 Correct 18 ms 66140 KB Output is correct
9 Correct 19 ms 66136 KB Output is correct
10 Correct 18 ms 55640 KB Output is correct
11 Correct 21 ms 78680 KB Output is correct
12 Correct 22 ms 78652 KB Output is correct
13 Correct 21 ms 78676 KB Output is correct
14 Correct 20 ms 78684 KB Output is correct
15 Correct 21 ms 78656 KB Output is correct
16 Correct 21 ms 78684 KB Output is correct
17 Correct 21 ms 78684 KB Output is correct
18 Correct 21 ms 78684 KB Output is correct
19 Correct 22 ms 78684 KB Output is correct
20 Correct 20 ms 78684 KB Output is correct
21 Correct 21 ms 78684 KB Output is correct
22 Correct 21 ms 78684 KB Output is correct
23 Correct 21 ms 78728 KB Output is correct
24 Correct 21 ms 78736 KB Output is correct
25 Correct 22 ms 78604 KB Output is correct
26 Correct 23 ms 78680 KB Output is correct
27 Correct 21 ms 78844 KB Output is correct
28 Correct 22 ms 78600 KB Output is correct
29 Correct 21 ms 78620 KB Output is correct
30 Correct 23 ms 78680 KB Output is correct
31 Correct 221 ms 220576 KB Output is correct
32 Correct 157 ms 218696 KB Output is correct
33 Correct 243 ms 217580 KB Output is correct
34 Correct 165 ms 220452 KB Output is correct
35 Correct 207 ms 216624 KB Output is correct
36 Correct 142 ms 219116 KB Output is correct
37 Correct 189 ms 216372 KB Output is correct
38 Correct 140 ms 219752 KB Output is correct
39 Correct 198 ms 215216 KB Output is correct
40 Correct 201 ms 214028 KB Output is correct
41 Correct 204 ms 215824 KB Output is correct
42 Correct 206 ms 218164 KB Output is correct
43 Correct 210 ms 211876 KB Output is correct
44 Correct 261 ms 220036 KB Output is correct
45 Correct 202 ms 217584 KB Output is correct
46 Correct 195 ms 211892 KB Output is correct
47 Correct 223 ms 213236 KB Output is correct
48 Correct 212 ms 213148 KB Output is correct
49 Correct 203 ms 216748 KB Output is correct
50 Correct 257 ms 219360 KB Output is correct
51 Correct 17 ms 55644 KB Output is correct
52 Correct 220 ms 199940 KB Output is correct
53 Correct 235 ms 201300 KB Output is correct
54 Correct 202 ms 200160 KB Output is correct
55 Correct 213 ms 199796 KB Output is correct
56 Correct 241 ms 201076 KB Output is correct
57 Correct 204 ms 199088 KB Output is correct
58 Correct 197 ms 206440 KB Output is correct
59 Correct 203 ms 206176 KB Output is correct
60 Correct 206 ms 204612 KB Output is correct
61 Correct 231 ms 204040 KB Output is correct
62 Correct 136 ms 221036 KB Output is correct
63 Correct 140 ms 219740 KB Output is correct
64 Correct 138 ms 220988 KB Output is correct
65 Correct 152 ms 219968 KB Output is correct
66 Correct 179 ms 209708 KB Output is correct
67 Correct 169 ms 208424 KB Output is correct
68 Correct 196 ms 209216 KB Output is correct
69 Correct 168 ms 211244 KB Output is correct
70 Correct 186 ms 211348 KB Output is correct
71 Correct 182 ms 212028 KB Output is correct
72 Correct 174 ms 211764 KB Output is correct
73 Correct 176 ms 209712 KB Output is correct
74 Correct 178 ms 211460 KB Output is correct
75 Correct 182 ms 212280 KB Output is correct
76 Correct 200 ms 212568 KB Output is correct
77 Correct 226 ms 209656 KB Output is correct
78 Correct 207 ms 212780 KB Output is correct
79 Correct 236 ms 209696 KB Output is correct
80 Correct 207 ms 219112 KB Output is correct
81 Correct 198 ms 214448 KB Output is correct
82 Correct 213 ms 215000 KB Output is correct
83 Correct 239 ms 210996 KB Output is correct
84 Correct 213 ms 219068 KB Output is correct
85 Correct 204 ms 216924 KB Output is correct
86 Correct 205 ms 210248 KB Output is correct
87 Correct 240 ms 213424 KB Output is correct
88 Correct 200 ms 214960 KB Output is correct
89 Correct 216 ms 210056 KB Output is correct
90 Correct 214 ms 210224 KB Output is correct
91 Correct 204 ms 212920 KB Output is correct
92 Correct 209 ms 210228 KB Output is correct
93 Correct 212 ms 209736 KB Output is correct
94 Correct 201 ms 209332 KB Output is correct
95 Correct 196 ms 211124 KB Output is correct
96 Correct 207 ms 209844 KB Output is correct
97 Correct 203 ms 212148 KB Output is correct