oj.uz

Submission #1001834

# Submission time Handle Problem Language Result Execution time Memory
1001834 2024-06-19T07:58:49 Z amine_aroua Inside information (BOI21_servers) C++17
100 / 100
 590 ms 120724 KB 
#include <bits/stdc++.h>
//#pragma GCC optimize("O3")
//#pragma GCC optimize("unroll-loops")
#include <ext/pb_ds/assoc_container.hpp>
#include <ext/pb_ds/tree_policy.hpp>
using namespace std;
using namespace __gnu_pbds;
template <class T>
using Tree = tree<T, null_type, less_equal<T>, rb_tree_tag, tree_order_statistics_node_update>;
#define int long long
#define pb push_back
#define nl '\n'
#define fore(i, y) for(int i = 0; i < y; i++)
#define forr(i, x, y) for(int i = x;i<=y;i++)
#define forn(i, y, x) for(int i = y; i >= x; i--)
const int N = 3e5 + 10;
vector<pair<int ,int>> adj[N];
int subtree[N] ;
int belongs[N];
bool forbidden[N];
int join[N] , up[N];
bool decre[N] , incre[N];
void dfs_subtree(int x ,int p)
{
    subtree[x] = 1;
    for(auto [u,i] :adj[x])
    {
        if(u == p || forbidden[u])
            continue;
        dfs_subtree(u , x);
        subtree[x]+=subtree[u];
    }
}
int dfs_down(int x , int p ,int n)
{
    for(auto [u,i] : adj[x])
    {
        if(u == p || forbidden[u])
            continue;
        if(subtree[u] > n/2)
            return dfs_down(u , x , n);
    }
    return x;
}
vector<int> nodes;
void dfs_belong(int x , int p , int child , int edge_p , int edge_join)
{
    nodes.pb(x);
    belongs[x] = child;
    up[x] = edge_p;
    join[x] = edge_join;
    for(auto [u , i] : adj[x])
    {
        if(u == p || forbidden[u])
            continue;
        dfs_belong(u , x , child , i , edge_join);
    }
}
void dfs_incre(int x , int p , int edge_p)
{
    incre[x] = 1;
    for(auto [u,i] : adj[x])
    {
        if(u == p || forbidden[u])
            continue;
        if(i <= edge_p)
            continue;
        dfs_incre(u , x , i);
    }
}
void dfs_decre(int x , int p , int edge_p)
{
    decre[x] = 1;
    for(auto [u,i] : adj[x])
    {
        if(u == p || forbidden[u])
            continue;
        if(i >= edge_p)
            continue;
        dfs_decre(u , x , i);
    }
}
int ans[N];
vector<vector<int>> queriesQ_in_subtree[N] , queriesC_in_subtree[N];
void rec(int root , vector<vector<int>> queriesQ , vector<vector<int>> queriesC)
{
    vector<int>().swap(nodes);
    vector<vector<int>>().swap(queriesQ_in_subtree[root]);
    vector<vector<int>>().swap(queriesC_in_subtree[root]);
    dfs_subtree(root , -1);
    int centroid = dfs_down(root ,-1 , subtree[root]);
    incre[centroid] = 1;
    decre[centroid] = 1;
    belongs[centroid] = centroid;
    for(auto [child,i] : adj[centroid])
    {
        if(!forbidden[child])
        {
            dfs_belong(child , centroid , child , i , i);
            dfs_incre(child , centroid , i);
            dfs_decre(child , centroid , i);
        }
    }
    for(auto query : queriesQ)
    {
        int a = query[0] , b = query[1] , id = query[2];
        if(belongs[a] != belongs[b])
        {
            if(a == centroid)
            {
                ans[id] = (decre[b] && join[b] < id);
            }
            else if(b == centroid)
            {
                ans[id] = (incre[a] && up[a] < id);
            }
            else
                ans[id] = (incre[a] && decre[b] && join[a] > join[b] && up[a] < id);
        }
        else
        {
            queriesQ_in_subtree[belongs[a]].pb(query);
        }
    }
    vector<tuple<int ,int , int>> sweep;
    for(auto node : nodes)
    {
        if(!incre[node])
            continue;
        sweep.pb({up[node] ,0, node});
    }
    for(auto query : queriesC)
    {
        queriesC_in_subtree[belongs[query[0]]].pb(query);
        if(!decre[query[0]])
            continue;
        sweep.pb({query[1] , 1,query[0]});
    }
    sort(sweep.begin() , sweep.end());
    Tree<int> t;
    for(auto [Time , type , node] : sweep)
    {
        if(type == 0)
        {
            t.insert(join[node]);
        }
        else
        {
            if(node == centroid)
            {
                ans[Time]+=(int)t.size() +1;
            }
            else
            {
                ans[Time]+= (int)t.size() - (int)t.order_of_key(join[node] + 1);
                if(join[node] < Time)
                    ans[Time]++;
            }
        }
    }
    for(auto node : nodes)
        decre[node] = incre[node] = 0;
    forbidden[centroid] = 1;
    for(auto [u,i] : adj[centroid])
    {
        if(!forbidden[u])
            rec(u , queriesQ_in_subtree[u] , queriesC_in_subtree[u]);
    }
}
signed main() {
    ios::sync_with_stdio(0);
    cin.tie(0);
    cout.tie(0);
    int n , q;
    cin>>n>>q;
    vector<vector<int>> queriesQ , queriesC;
    vector<char> type;
    fore(i , n + q - 1)
    {
        char c;
        cin>>c;
        type.pb(c);
        if(c == 'S')
        {
            int a , b;
            cin>>a>>b;
            adj[a].pb({b , i});
            adj[b].pb({a , i});
        }
        if(c == 'Q')
        {
            int a , d;
            cin>>a>>d;
            if(a == d)
                ans[i] = 1;
            else
                queriesQ.pb({a , d , i});
        }
        if(c == 'C')
        {
            int a;
            cin>>a;
            queriesC.pb({a , i});
        }
    }
    rec(1 , queriesQ , queriesC);
    fore(i , n + q - 1)
    {
        if(type[i] == 'Q' )
        {
            cout<<(ans[i] ? "yes" : "no")<<nl;
        }
        if(type[i] == 'C')
            cout<<ans[i]<<nl;
    }
}

Subtask #1
2.5 / 2.5

# Verdict Execution time Memory Grader output
1 Correct 40 ms 38152 KB Output is correct
2 Correct 50 ms 40980 KB Output is correct
3 Correct 73 ms 46656 KB Output is correct
4 Correct 61 ms 42712 KB Output is correct
5 Correct 60 ms 42752 KB Output is correct
6 Correct 43 ms 37880 KB Output is correct

Subtask #2
2.5 / 2.5

# Verdict Execution time Memory Grader output
1 Correct 40 ms 38152 KB Output is correct
2 Correct 50 ms 40980 KB Output is correct
3 Correct 73 ms 46656 KB Output is correct
4 Correct 61 ms 42712 KB Output is correct
5 Correct 60 ms 42752 KB Output is correct
6 Correct 43 ms 37880 KB Output is correct
7 Correct 45 ms 40192 KB Output is correct
8 Correct 101 ms 44980 KB Output is correct
9 Correct 88 ms 49084 KB Output is correct
10 Correct 122 ms 46348 KB Output is correct
11 Correct 137 ms 46768 KB Output is correct
12 Correct 58 ms 43448 KB Output is correct

Subtask #3
2.5 / 2.5

# Verdict Execution time Memory Grader output
1 Correct 37 ms 36616 KB Output is correct
2 Correct 152 ms 60680 KB Output is correct
3 Correct 145 ms 60564 KB Output is correct

Subtask #4
2.5 / 2.5

# Verdict Execution time Memory Grader output
1 Correct 37 ms 36616 KB Output is correct
2 Correct 152 ms 60680 KB Output is correct
3 Correct 145 ms 60564 KB Output is correct
4 Correct 38 ms 37372 KB Output is correct
5 Correct 164 ms 62816 KB Output is correct
6 Correct 159 ms 68892 KB Output is correct
7 Correct 181 ms 74856 KB Output is correct

Subtask #5
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 44 ms 40964 KB Output is correct
2 Correct 368 ms 63420 KB Output is correct
3 Correct 339 ms 64012 KB Output is correct
4 Correct 260 ms 79204 KB Output is correct

Subtask #6
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 44 ms 40964 KB Output is correct
2 Correct 368 ms 63420 KB Output is correct
3 Correct 339 ms 64012 KB Output is correct
4 Correct 260 ms 79204 KB Output is correct
5 Correct 49 ms 41740 KB Output is correct
6 Correct 392 ms 67596 KB Output is correct
7 Correct 475 ms 81932 KB Output is correct
8 Correct 411 ms 71428 KB Output is correct
9 Correct 424 ms 71420 KB Output is correct

Subtask #7
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 46 ms 39936 KB Output is correct
2 Correct 273 ms 64328 KB Output is correct
3 Correct 286 ms 54264 KB Output is correct

Subtask #8
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 46 ms 39936 KB Output is correct
2 Correct 273 ms 64328 KB Output is correct
3 Correct 286 ms 54264 KB Output is correct
4 Correct 61 ms 40444 KB Output is correct
5 Correct 386 ms 71192 KB Output is correct
6 Correct 391 ms 58248 KB Output is correct

Subtask #9
12.5 / 12.5

# Verdict Execution time Memory Grader output
1 Correct 45 ms 40904 KB Output is correct
2 Correct 323 ms 63452 KB Output is correct
3 Correct 364 ms 63996 KB Output is correct
4 Correct 286 ms 79208 KB Output is correct
5 Correct 51 ms 39980 KB Output is correct
6 Correct 281 ms 64328 KB Output is correct
7 Correct 286 ms 54272 KB Output is correct
8 Correct 220 ms 56448 KB Output is correct
9 Correct 266 ms 57084 KB Output is correct
10 Correct 325 ms 60156 KB Output is correct
11 Correct 298 ms 60568 KB Output is correct

Subtask #10
12.5 / 12.5

# Verdict Execution time Memory Grader output
1 Correct 45 ms 40904 KB Output is correct
2 Correct 323 ms 63452 KB Output is correct
3 Correct 364 ms 63996 KB Output is correct
4 Correct 286 ms 79208 KB Output is correct
5 Correct 51 ms 39980 KB Output is correct
6 Correct 281 ms 64328 KB Output is correct
7 Correct 286 ms 54272 KB Output is correct
8 Correct 220 ms 56448 KB Output is correct
9 Correct 266 ms 57084 KB Output is correct
10 Correct 325 ms 60156 KB Output is correct
11 Correct 298 ms 60568 KB Output is correct
12 Correct 50 ms 41724 KB Output is correct
13 Correct 373 ms 67400 KB Output is correct
14 Correct 408 ms 81848 KB Output is correct
15 Correct 430 ms 71296 KB Output is correct
16 Correct 478 ms 71436 KB Output is correct
17 Correct 48 ms 40452 KB Output is correct
18 Correct 370 ms 71292 KB Output is correct
19 Correct 369 ms 58236 KB Output is correct
20 Correct 338 ms 60436 KB Output is correct
21 Correct 390 ms 61448 KB Output is correct
22 Correct 590 ms 73612 KB Output is correct
23 Correct 589 ms 68184 KB Output is correct
24 Correct 463 ms 62600 KB Output is correct

Subtask #11
17.5 / 17.5

# Verdict Execution time Memory Grader output
1 Correct 40 ms 38148 KB Output is correct
2 Correct 53 ms 40964 KB Output is correct
3 Correct 71 ms 46408 KB Output is correct
4 Correct 59 ms 42744 KB Output is correct
5 Correct 62 ms 42756 KB Output is correct
6 Correct 44 ms 37888 KB Output is correct
7 Correct 47 ms 36608 KB Output is correct
8 Correct 153 ms 60512 KB Output is correct
9 Correct 146 ms 60532 KB Output is correct
10 Correct 49 ms 40964 KB Output is correct
11 Correct 342 ms 63640 KB Output is correct
12 Correct 340 ms 64160 KB Output is correct
13 Correct 261 ms 79204 KB Output is correct
14 Correct 59 ms 39936 KB Output is correct
15 Correct 266 ms 64224 KB Output is correct
16 Correct 291 ms 54168 KB Output is correct
17 Correct 195 ms 56444 KB Output is correct
18 Correct 300 ms 57092 KB Output is correct
19 Correct 326 ms 60088 KB Output is correct
20 Correct 291 ms 60536 KB Output is correct
21 Correct 152 ms 66520 KB Output is correct
22 Correct 157 ms 63480 KB Output is correct
23 Correct 261 ms 61180 KB Output is correct
24 Correct 233 ms 61696 KB Output is correct
25 Correct 335 ms 65744 KB Output is correct
26 Correct 255 ms 50556 KB Output is correct
27 Correct 258 ms 50552 KB Output is correct

Subtask #12
17.5 / 17.5

# Verdict Execution time Memory Grader output
1 Correct 40 ms 38148 KB Output is correct
2 Correct 53 ms 40964 KB Output is correct
3 Correct 71 ms 46408 KB Output is correct
4 Correct 59 ms 42744 KB Output is correct
5 Correct 62 ms 42756 KB Output is correct
6 Correct 44 ms 37888 KB Output is correct
7 Correct 47 ms 36608 KB Output is correct
8 Correct 153 ms 60512 KB Output is correct
9 Correct 146 ms 60532 KB Output is correct
10 Correct 49 ms 40964 KB Output is correct
11 Correct 342 ms 63640 KB Output is correct
12 Correct 340 ms 64160 KB Output is correct
13 Correct 261 ms 79204 KB Output is correct
14 Correct 59 ms 39936 KB Output is correct
15 Correct 266 ms 64224 KB Output is correct
16 Correct 291 ms 54168 KB Output is correct
17 Correct 195 ms 56444 KB Output is correct
18 Correct 300 ms 57092 KB Output is correct
19 Correct 326 ms 60088 KB Output is correct
20 Correct 291 ms 60536 KB Output is correct
21 Correct 152 ms 66520 KB Output is correct
22 Correct 157 ms 63480 KB Output is correct
23 Correct 261 ms 61180 KB Output is correct
24 Correct 233 ms 61696 KB Output is correct
25 Correct 335 ms 65744 KB Output is correct
26 Correct 255 ms 50556 KB Output is correct
27 Correct 258 ms 50552 KB Output is correct
28 Correct 46 ms 40208 KB Output is correct
29 Correct 96 ms 44984 KB Output is correct
30 Correct 89 ms 49296 KB Output is correct
31 Correct 116 ms 46404 KB Output is correct
32 Correct 131 ms 46572 KB Output is correct
33 Correct 58 ms 43444 KB Output is correct
34 Correct 43 ms 37380 KB Output is correct
35 Correct 167 ms 62952 KB Output is correct
36 Correct 181 ms 68964 KB Output is correct
37 Correct 189 ms 75016 KB Output is correct
38 Correct 49 ms 41728 KB Output is correct
39 Correct 408 ms 67392 KB Output is correct
40 Correct 415 ms 81888 KB Output is correct
41 Correct 434 ms 71212 KB Output is correct
42 Correct 467 ms 71420 KB Output is correct
43 Correct 47 ms 40448 KB Output is correct
44 Correct 409 ms 71292 KB Output is correct
45 Correct 341 ms 58340 KB Output is correct
46 Correct 308 ms 60548 KB Output is correct
47 Correct 383 ms 61652 KB Output is correct
48 Correct 552 ms 73556 KB Output is correct
49 Correct 588 ms 68380 KB Output is correct
50 Correct 483 ms 62592 KB Output is correct
51 Correct 190 ms 78776 KB Output is correct
52 Correct 162 ms 75108 KB Output is correct
53 Correct 195 ms 75612 KB Output is correct
54 Correct 171 ms 70080 KB Output is correct
55 Correct 193 ms 79300 KB Output is correct
56 Correct 236 ms 69716 KB Output is correct
57 Correct 366 ms 120724 KB Output is correct
58 Correct 419 ms 62588 KB Output is correct
59 Correct 255 ms 51224 KB Output is correct