Submission #980342

# Submission time Handle Problem Language Result Execution time Memory
980342 2024-05-12T05:25:37 Z hasan2006 Swapping Cities (APIO20_swap) C++17
36 / 100
432 ms 128192 KB
#include "swap.h"
#include <bits/stdc++.h>

using namespace std;

#define TL ios::sync_with_stdio(0),cin.tie(0),cout.tie(0);
#define rall(s) s.rbegin(),s.rend()
#define all(s) s.begin(),s.end()
#define pb push_back
#define se second
#define fi first
#define ll long long
#define ld long double
#define YES cout<<"YES\n"
#define Yes cout<<"Yes\n"
#define yes cout<<"yes\n"
#define NO cout<<"NO\n"
#define No cout<<"No\n"
#define no cout<<"no\n"


const int N =2e5 + 9 , mod = 1e9 + 7;
ll  p[N], sz[N] , a[N] , b[N] , dp[N] ,  dp1[N] ,  c[N][25] , d[N] , par[N][25] , mx[N][25] , us[N] , us1[N];
vector<pair<ll,ll>>v[N] , v1[N] , vc[N] ,  vv[N];
int get(int x){
    return (p[x] == x ? x : get(p[x]));
}
void join(int X , int Y , ll k){
    int x = get(X) , y = get(Y);
    if(x != y){
        if(sz[x] < sz[y])
            swap(x , y);
        p[y] = x;
        sz[x] += sz[y];
        vv[X].pb({k , Y});
        vv[Y].pb({k , X});
    }else {
        v1[X].pb({k , Y});
        v1[Y].pb({k , X});
    }
}
ll timer = 0;

void dd(int n  ,int p = 0 , int k = 0){
    if(p)
        v[p].pb({k , n});
    for(auto to : vv[n])
        if(to.se != p)
            dd(to.se , n , to.fi);
}

void dfs(int n , int p = 0 , ll k = 1e18){
    par[n][0] = p;
    if(v[p].size())
        c[n][0] = v[p][0].fi;
    else
        c[n][0] = 1e18;
    if(v[p].size() && v[p][0].se == n){
        if(v[p].size() > 1)
            c[n][0] = v[p][1].fi;
        else
            c[n][0] = 1e18;
    }
    if(v1[p].size())
        c[n][0] = min(c[n][0] , v1[p][0].fi);
    if(v1[n].size())
        c[n][0] = min(c[n][0] , v1[n][0].fi);
    mx[n][0] = k;
    us[n] = ++timer;
    for(int i = 1; i <= 20; i++){
        par[n][i] = par[par[n][i - 1]][i - 1] ;
        mx[n][i] = max(mx[n][i - 1] , mx[par[n][i - 1]][i - 1]);
        c[n][i] = min(c[n][i - 1] , c[par[n][i - 1]][i - 1]);
    }
    for(auto to : v[n])
        dfs(to.se , n , to.fi);
    if(v1[n].size())
        dp[n] = min(dp[n] , v1[n][0].fi);
    if(v[n].size() > 1)
        dp[n] = min(dp[n] , v[n][1].fi);
    dp[p] = min(dp[p] , max(k , dp[n]));
    us1[n] = ++timer;
}
void dfs1(int n , int p = 0 , ll k = 1e18 , ll ans = 1e18){
    if(v1[n].size())
        ans = min(ans , v1[n][0].fi);
    dp1[n] = ans;
    v[n].pb({k , p});
    for(auto to : v[n])
        if(to.se != p)
            vc[n].pb({max(to.fi , dp[to.se]) , to.se});
    sort(all(v[n]));
    sort(all(vc[n]));
    for(auto to : v[n]){
        if(to.se != p){
            ll ans1 = ans;
            if(v[n].size() >= 3){
                if(v[n][1].se == to.se || v[n][0].se == to.se)
                    ans1 = min(ans1, v[n][2].fi);
                else
                    ans1 = min(ans1 , v[n][1].fi);
            }
            if(vc[n][0].se != to.se)
                ans1 = min(ans1 ,vc[n][0].fi);
            else if(vc[n].size() > 1)
                ans1 = min(ans1 , vc[n][1].fi);
            dfs1(to.se , n , to.fi , max(ans1 , to.fi));
        }
    }
}

bool ok(int u, int v)
{
    return (u == 0 || (us[u] <= us[v] && us1[u] >= us1[v]));
}

ll get(int x , int y){
    ll mn = 1e18 , ans = 0;
    mn = min({mn , dp[y]});
    for(int i = 18; i >= 0; i--){
        if(!ok(par[y][i] , x)){
            mn = min(mn , c[y][i]);
            ans = max(ans , mx[y][i]);
            y = par[y][i];
        }
    }
    ans = max(ans , mx[y][0]);
    mn = min({mn , dp1[y]});
    ans = max(ans , mn);
    if(ans > 1e9)
        ans = -1;
    return ans;
}
ll mm = 0;
ll lca(int x , int y){

    if(ok(x , y)){
        return get(x , y);
    }
    if(ok(y , x))
        return get(y , x);
    ll mn = 1e18 , ans = 0;
    mn = min({mn , dp[x] , dp[y]});
    for(int i = 18; i >= 0; i--){
        if(!ok(par[y][i] , x)){
                mn = min(mn , c[y][i]);
                ans = max(ans , mx[y][i]);
                y = par[y][i];
            }
        }
    for(int i = 18; i >= 0; i--){
            if(!ok(par[x][i] , y)){
                mn = min(mn , c[x][i]);
                ans = max(ans , mx[x][i]);
                x = par[x][i];
            }
    }
    ans = max(ans , mx[x][0]);
    ans = max(ans , mx[y][0]);
    for(int i = 0; i < 3 && i < v[par[x][0]].size(); i++)
        if(v[par[x][0]][i].se != x && v[par[x][0]][i].se != y)
            mn = min(mn ,v[par[x][0]][i].fi);
    x = par[x][0];
    if(v1[x].size())
        mn = min(mn , v1[x][0].fi);
    ans = max(ans , mn);
    if(ans > 1e9)
        ans = -1;
    return ans;
}

void init(int n , int m , vector<int>v , vector<int>u , vector<int>c)
{
    vector<pair<ll,pair<ll,ll>>>vc;
    for(int i = 0; i <= n; i++)
        dp[i] = 1e18 , p[i] =  i , sz[i] = 1;
    for(int i = 0; i < m; i++)
        vc.pb({c[i] , {v[i] + 1, u[i] + 1}});
    sort(all(vc));
    for(auto to : vc)
        join(to.se.fi , to.se.se , to.fi);
    dd(1);
   for(int i = 1; i <= n ; i++)
        sort(all(::v[i])) , sort(rall(::v1[i]));
    dfs(1);
    dfs1(1);
}


int getMinimumFuelCapacity(int l, int r) {
        l++ , r++;
        return lca(l , r);
}
/*
int main(){

    init(4, 4, {0, 0, 1 , 2}, {1 , 3 , 2 , 3}, {1 , 3 , 2 , 4});
    cout<<getMinimumFuelCapacity(0,1)<<"\n";
    cout<<getMinimumFuelCapacity(0,2)<<"\n";
    cout<<getMinimumFuelCapacity(0,3)<<"\n";
    cout<<getMinimumFuelCapacity(1,2)<<"\n";
    cout<<getMinimumFuelCapacity(1,3)<<"\n";
    cout<<getMinimumFuelCapacity(2,3)<<"\n";
}*/

Compilation message

swap.cpp: In function 'long long int lca(int, int)':
swap.cpp:161:31: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<std::pair<long long int, long long int> >::size_type' {aka 'long unsigned int'} [-Wsign-compare]
  161 |     for(int i = 0; i < 3 && i < v[par[x][0]].size(); i++)
      |                             ~~^~~~~~~~~~~~~~~~~~~~~
# Verdict Execution time Memory Grader output
1 Correct 7 ms 35416 KB Output is correct
2 Correct 6 ms 35416 KB Output is correct
3 Correct 6 ms 35420 KB Output is correct
4 Correct 7 ms 35420 KB Output is correct
5 Correct 8 ms 35672 KB Output is correct
6 Correct 7 ms 35716 KB Output is correct
7 Correct 8 ms 35676 KB Output is correct
8 Correct 8 ms 35676 KB Output is correct
9 Correct 132 ms 102804 KB Output is correct
10 Correct 175 ms 116976 KB Output is correct
11 Correct 184 ms 116400 KB Output is correct
12 Correct 176 ms 123840 KB Output is correct
13 Correct 174 ms 126516 KB Output is correct
14 Correct 150 ms 101976 KB Output is correct
15 Correct 401 ms 118112 KB Output is correct
16 Correct 390 ms 115732 KB Output is correct
17 Correct 432 ms 128192 KB Output is correct
18 Correct 395 ms 126128 KB Output is correct
19 Correct 104 ms 55516 KB Output is correct
20 Correct 392 ms 117076 KB Output is correct
21 Correct 374 ms 114908 KB Output is correct
22 Correct 426 ms 124712 KB Output is correct
23 Correct 389 ms 125072 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 7 ms 35416 KB Output is correct
2 Correct 6 ms 35416 KB Output is correct
3 Correct 190 ms 107200 KB Output is correct
4 Correct 196 ms 113892 KB Output is correct
5 Correct 206 ms 107700 KB Output is correct
6 Correct 192 ms 111948 KB Output is correct
7 Correct 193 ms 107624 KB Output is correct
8 Correct 190 ms 107388 KB Output is correct
9 Correct 201 ms 107456 KB Output is correct
10 Correct 188 ms 107564 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 7 ms 35416 KB Output is correct
2 Correct 6 ms 35416 KB Output is correct
3 Correct 6 ms 35420 KB Output is correct
4 Correct 7 ms 35420 KB Output is correct
5 Correct 8 ms 35672 KB Output is correct
6 Correct 7 ms 35716 KB Output is correct
7 Correct 8 ms 35676 KB Output is correct
8 Correct 8 ms 35676 KB Output is correct
9 Correct 7 ms 35420 KB Output is correct
10 Correct 8 ms 35664 KB Output is correct
11 Correct 7 ms 35676 KB Output is correct
12 Correct 7 ms 35676 KB Output is correct
13 Correct 7 ms 35420 KB Output is correct
14 Correct 8 ms 35420 KB Output is correct
15 Correct 7 ms 35672 KB Output is correct
16 Correct 7 ms 35676 KB Output is correct
17 Correct 7 ms 35772 KB Output is correct
18 Correct 7 ms 35420 KB Output is correct
19 Correct 7 ms 35592 KB Output is correct
20 Correct 8 ms 35676 KB Output is correct
21 Correct 7 ms 35420 KB Output is correct
22 Correct 7 ms 35672 KB Output is correct
23 Correct 7 ms 35420 KB Output is correct
24 Incorrect 8 ms 35676 KB Output isn't correct
25 Halted 0 ms 0 KB -
# Verdict Execution time Memory Grader output
1 Correct 7 ms 35420 KB Output is correct
2 Correct 7 ms 35416 KB Output is correct
3 Correct 6 ms 35416 KB Output is correct
4 Correct 6 ms 35420 KB Output is correct
5 Correct 7 ms 35420 KB Output is correct
6 Correct 8 ms 35672 KB Output is correct
7 Correct 7 ms 35716 KB Output is correct
8 Correct 8 ms 35676 KB Output is correct
9 Correct 8 ms 35676 KB Output is correct
10 Correct 132 ms 102804 KB Output is correct
11 Correct 175 ms 116976 KB Output is correct
12 Correct 184 ms 116400 KB Output is correct
13 Correct 176 ms 123840 KB Output is correct
14 Correct 174 ms 126516 KB Output is correct
15 Correct 8 ms 35664 KB Output is correct
16 Correct 7 ms 35676 KB Output is correct
17 Correct 7 ms 35676 KB Output is correct
18 Correct 7 ms 35420 KB Output is correct
19 Correct 8 ms 35420 KB Output is correct
20 Correct 7 ms 35672 KB Output is correct
21 Correct 7 ms 35676 KB Output is correct
22 Correct 7 ms 35772 KB Output is correct
23 Correct 7 ms 35420 KB Output is correct
24 Correct 7 ms 35592 KB Output is correct
25 Correct 8 ms 35676 KB Output is correct
26 Correct 7 ms 35420 KB Output is correct
27 Correct 7 ms 35672 KB Output is correct
28 Correct 7 ms 35420 KB Output is correct
29 Incorrect 8 ms 35676 KB Output isn't correct
30 Halted 0 ms 0 KB -
# Verdict Execution time Memory Grader output
1 Correct 7 ms 35416 KB Output is correct
2 Correct 6 ms 35416 KB Output is correct
3 Correct 6 ms 35420 KB Output is correct
4 Correct 7 ms 35420 KB Output is correct
5 Correct 8 ms 35672 KB Output is correct
6 Correct 7 ms 35716 KB Output is correct
7 Correct 8 ms 35676 KB Output is correct
8 Correct 8 ms 35676 KB Output is correct
9 Correct 132 ms 102804 KB Output is correct
10 Correct 175 ms 116976 KB Output is correct
11 Correct 184 ms 116400 KB Output is correct
12 Correct 176 ms 123840 KB Output is correct
13 Correct 174 ms 126516 KB Output is correct
14 Correct 150 ms 101976 KB Output is correct
15 Correct 401 ms 118112 KB Output is correct
16 Correct 390 ms 115732 KB Output is correct
17 Correct 432 ms 128192 KB Output is correct
18 Correct 395 ms 126128 KB Output is correct
19 Correct 190 ms 107200 KB Output is correct
20 Correct 196 ms 113892 KB Output is correct
21 Correct 206 ms 107700 KB Output is correct
22 Correct 192 ms 111948 KB Output is correct
23 Correct 193 ms 107624 KB Output is correct
24 Correct 190 ms 107388 KB Output is correct
25 Correct 201 ms 107456 KB Output is correct
26 Correct 188 ms 107564 KB Output is correct
27 Correct 8 ms 35664 KB Output is correct
28 Correct 7 ms 35676 KB Output is correct
29 Correct 7 ms 35676 KB Output is correct
30 Correct 7 ms 35420 KB Output is correct
31 Correct 8 ms 35420 KB Output is correct
32 Correct 7 ms 35672 KB Output is correct
33 Correct 7 ms 35676 KB Output is correct
34 Correct 7 ms 35772 KB Output is correct
35 Correct 7 ms 35420 KB Output is correct
36 Correct 19 ms 43864 KB Output is correct
37 Correct 179 ms 123540 KB Output is correct
38 Correct 164 ms 119196 KB Output is correct
39 Correct 146 ms 115908 KB Output is correct
40 Correct 174 ms 110884 KB Output is correct
41 Correct 134 ms 110016 KB Output is correct
42 Correct 124 ms 106568 KB Output is correct
43 Correct 172 ms 120468 KB Output is correct
44 Correct 185 ms 122048 KB Output is correct
45 Correct 157 ms 123772 KB Output is correct
46 Correct 137 ms 114896 KB Output is correct
47 Correct 28 ms 43860 KB Output is correct
48 Correct 395 ms 122296 KB Output is correct
49 Correct 420 ms 119204 KB Output is correct
50 Correct 363 ms 117696 KB Output is correct
51 Correct 328 ms 115344 KB Output is correct
52 Correct 297 ms 108904 KB Output is correct
53 Correct 237 ms 85876 KB Output is correct
54 Correct 387 ms 120376 KB Output is correct
55 Correct 395 ms 122896 KB Output is correct
56 Correct 422 ms 126392 KB Output is correct
57 Correct 300 ms 116008 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 7 ms 35420 KB Output is correct
2 Correct 7 ms 35416 KB Output is correct
3 Correct 6 ms 35416 KB Output is correct
4 Correct 6 ms 35420 KB Output is correct
5 Correct 7 ms 35420 KB Output is correct
6 Correct 8 ms 35672 KB Output is correct
7 Correct 7 ms 35716 KB Output is correct
8 Correct 8 ms 35676 KB Output is correct
9 Correct 8 ms 35676 KB Output is correct
10 Correct 132 ms 102804 KB Output is correct
11 Correct 175 ms 116976 KB Output is correct
12 Correct 184 ms 116400 KB Output is correct
13 Correct 176 ms 123840 KB Output is correct
14 Correct 174 ms 126516 KB Output is correct
15 Correct 150 ms 101976 KB Output is correct
16 Correct 401 ms 118112 KB Output is correct
17 Correct 390 ms 115732 KB Output is correct
18 Correct 432 ms 128192 KB Output is correct
19 Correct 395 ms 126128 KB Output is correct
20 Correct 190 ms 107200 KB Output is correct
21 Correct 196 ms 113892 KB Output is correct
22 Correct 206 ms 107700 KB Output is correct
23 Correct 192 ms 111948 KB Output is correct
24 Correct 193 ms 107624 KB Output is correct
25 Correct 190 ms 107388 KB Output is correct
26 Correct 201 ms 107456 KB Output is correct
27 Correct 188 ms 107564 KB Output is correct
28 Correct 8 ms 35664 KB Output is correct
29 Correct 7 ms 35676 KB Output is correct
30 Correct 7 ms 35676 KB Output is correct
31 Correct 7 ms 35420 KB Output is correct
32 Correct 8 ms 35420 KB Output is correct
33 Correct 7 ms 35672 KB Output is correct
34 Correct 7 ms 35676 KB Output is correct
35 Correct 7 ms 35772 KB Output is correct
36 Correct 7 ms 35420 KB Output is correct
37 Correct 19 ms 43864 KB Output is correct
38 Correct 179 ms 123540 KB Output is correct
39 Correct 164 ms 119196 KB Output is correct
40 Correct 146 ms 115908 KB Output is correct
41 Correct 174 ms 110884 KB Output is correct
42 Correct 134 ms 110016 KB Output is correct
43 Correct 124 ms 106568 KB Output is correct
44 Correct 172 ms 120468 KB Output is correct
45 Correct 185 ms 122048 KB Output is correct
46 Correct 157 ms 123772 KB Output is correct
47 Correct 137 ms 114896 KB Output is correct
48 Correct 28 ms 43860 KB Output is correct
49 Correct 395 ms 122296 KB Output is correct
50 Correct 420 ms 119204 KB Output is correct
51 Correct 363 ms 117696 KB Output is correct
52 Correct 328 ms 115344 KB Output is correct
53 Correct 297 ms 108904 KB Output is correct
54 Correct 237 ms 85876 KB Output is correct
55 Correct 387 ms 120376 KB Output is correct
56 Correct 395 ms 122896 KB Output is correct
57 Correct 422 ms 126392 KB Output is correct
58 Correct 300 ms 116008 KB Output is correct
59 Correct 104 ms 55516 KB Output is correct
60 Correct 392 ms 117076 KB Output is correct
61 Correct 374 ms 114908 KB Output is correct
62 Correct 426 ms 124712 KB Output is correct
63 Correct 389 ms 125072 KB Output is correct
64 Correct 7 ms 35592 KB Output is correct
65 Correct 8 ms 35676 KB Output is correct
66 Correct 7 ms 35420 KB Output is correct
67 Correct 7 ms 35672 KB Output is correct
68 Correct 7 ms 35420 KB Output is correct
69 Incorrect 8 ms 35676 KB Output isn't correct
70 Halted 0 ms 0 KB -