Submission #980344

# Submission time Handle Problem Language Result Execution time Memory
980344 2024-05-12T05:32:05 Z hasan2006 Swapping Cities (APIO20_swap) C++17
36 / 100
453 ms 128640 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);
    y = par[y][0];
    if(v1[y].size())
        mn = min(mn , v1[y][0].fi);
    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:164:31: 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]
  164 |     for(int i = 0; i < 3 && i < v[par[x][0]].size(); i++)
      |                             ~~^~~~~~~~~~~~~~~~~~~~~
# Verdict Execution time Memory Grader output
1 Correct 6 ms 35420 KB Output is correct
2 Correct 6 ms 35420 KB Output is correct
3 Correct 7 ms 35420 KB Output is correct
4 Correct 7 ms 35416 KB Output is correct
5 Correct 8 ms 35676 KB Output is correct
6 Correct 7 ms 35672 KB Output is correct
7 Correct 7 ms 35676 KB Output is correct
8 Correct 7 ms 35676 KB Output is correct
9 Correct 141 ms 103348 KB Output is correct
10 Correct 176 ms 117552 KB Output is correct
11 Correct 156 ms 115796 KB Output is correct
12 Correct 205 ms 124192 KB Output is correct
13 Correct 180 ms 126484 KB Output is correct
14 Correct 173 ms 101700 KB Output is correct
15 Correct 411 ms 118124 KB Output is correct
16 Correct 406 ms 115392 KB Output is correct
17 Correct 453 ms 128640 KB Output is correct
18 Correct 411 ms 125892 KB Output is correct
19 Correct 103 ms 55508 KB Output is correct
20 Correct 395 ms 117696 KB Output is correct
21 Correct 380 ms 114880 KB Output is correct
22 Correct 435 ms 125288 KB Output is correct
23 Correct 405 ms 125116 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 6 ms 35420 KB Output is correct
2 Correct 6 ms 35420 KB Output is correct
3 Correct 216 ms 107544 KB Output is correct
4 Correct 191 ms 114140 KB Output is correct
5 Correct 213 ms 107452 KB Output is correct
6 Correct 204 ms 112008 KB Output is correct
7 Correct 198 ms 108480 KB Output is correct
8 Correct 191 ms 107252 KB Output is correct
9 Correct 202 ms 107532 KB Output is correct
10 Correct 200 ms 107552 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 6 ms 35420 KB Output is correct
2 Correct 6 ms 35420 KB Output is correct
3 Correct 7 ms 35420 KB Output is correct
4 Correct 7 ms 35416 KB Output is correct
5 Correct 8 ms 35676 KB Output is correct
6 Correct 7 ms 35672 KB Output is correct
7 Correct 7 ms 35676 KB Output is correct
8 Correct 7 ms 35676 KB Output is correct
9 Correct 7 ms 35420 KB Output is correct
10 Correct 7 ms 35420 KB Output is correct
11 Correct 7 ms 35676 KB Output is correct
12 Correct 8 ms 35676 KB Output is correct
13 Correct 7 ms 35420 KB Output is correct
14 Correct 7 ms 35472 KB Output is correct
15 Correct 7 ms 35676 KB Output is correct
16 Correct 7 ms 35676 KB Output is correct
17 Correct 7 ms 35672 KB Output is correct
18 Correct 8 ms 35420 KB Output is correct
19 Correct 7 ms 35516 KB Output is correct
20 Correct 7 ms 35676 KB Output is correct
21 Correct 8 ms 35492 KB Output is correct
22 Correct 8 ms 35672 KB Output is correct
23 Correct 7 ms 35416 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 6 ms 35420 KB Output is correct
3 Correct 6 ms 35420 KB Output is correct
4 Correct 7 ms 35420 KB Output is correct
5 Correct 7 ms 35416 KB Output is correct
6 Correct 8 ms 35676 KB Output is correct
7 Correct 7 ms 35672 KB Output is correct
8 Correct 7 ms 35676 KB Output is correct
9 Correct 7 ms 35676 KB Output is correct
10 Correct 141 ms 103348 KB Output is correct
11 Correct 176 ms 117552 KB Output is correct
12 Correct 156 ms 115796 KB Output is correct
13 Correct 205 ms 124192 KB Output is correct
14 Correct 180 ms 126484 KB Output is correct
15 Correct 7 ms 35420 KB Output is correct
16 Correct 7 ms 35676 KB Output is correct
17 Correct 8 ms 35676 KB Output is correct
18 Correct 7 ms 35420 KB Output is correct
19 Correct 7 ms 35472 KB Output is correct
20 Correct 7 ms 35676 KB Output is correct
21 Correct 7 ms 35676 KB Output is correct
22 Correct 7 ms 35672 KB Output is correct
23 Correct 8 ms 35420 KB Output is correct
24 Correct 7 ms 35516 KB Output is correct
25 Correct 7 ms 35676 KB Output is correct
26 Correct 8 ms 35492 KB Output is correct
27 Correct 8 ms 35672 KB Output is correct
28 Correct 7 ms 35416 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 6 ms 35420 KB Output is correct
2 Correct 6 ms 35420 KB Output is correct
3 Correct 7 ms 35420 KB Output is correct
4 Correct 7 ms 35416 KB Output is correct
5 Correct 8 ms 35676 KB Output is correct
6 Correct 7 ms 35672 KB Output is correct
7 Correct 7 ms 35676 KB Output is correct
8 Correct 7 ms 35676 KB Output is correct
9 Correct 141 ms 103348 KB Output is correct
10 Correct 176 ms 117552 KB Output is correct
11 Correct 156 ms 115796 KB Output is correct
12 Correct 205 ms 124192 KB Output is correct
13 Correct 180 ms 126484 KB Output is correct
14 Correct 173 ms 101700 KB Output is correct
15 Correct 411 ms 118124 KB Output is correct
16 Correct 406 ms 115392 KB Output is correct
17 Correct 453 ms 128640 KB Output is correct
18 Correct 411 ms 125892 KB Output is correct
19 Correct 216 ms 107544 KB Output is correct
20 Correct 191 ms 114140 KB Output is correct
21 Correct 213 ms 107452 KB Output is correct
22 Correct 204 ms 112008 KB Output is correct
23 Correct 198 ms 108480 KB Output is correct
24 Correct 191 ms 107252 KB Output is correct
25 Correct 202 ms 107532 KB Output is correct
26 Correct 200 ms 107552 KB Output is correct
27 Correct 7 ms 35420 KB Output is correct
28 Correct 7 ms 35676 KB Output is correct
29 Correct 8 ms 35676 KB Output is correct
30 Correct 7 ms 35420 KB Output is correct
31 Correct 7 ms 35472 KB Output is correct
32 Correct 7 ms 35676 KB Output is correct
33 Correct 7 ms 35676 KB Output is correct
34 Correct 7 ms 35672 KB Output is correct
35 Correct 8 ms 35420 KB Output is correct
36 Correct 19 ms 43864 KB Output is correct
37 Correct 175 ms 123668 KB Output is correct
38 Correct 201 ms 119440 KB Output is correct
39 Correct 146 ms 116424 KB Output is correct
40 Correct 166 ms 110780 KB Output is correct
41 Correct 138 ms 110112 KB Output is correct
42 Correct 134 ms 106908 KB Output is correct
43 Correct 169 ms 120000 KB Output is correct
44 Correct 183 ms 122748 KB Output is correct
45 Correct 158 ms 123764 KB Output is correct
46 Correct 136 ms 114628 KB Output is correct
47 Correct 29 ms 43872 KB Output is correct
48 Correct 440 ms 121572 KB Output is correct
49 Correct 390 ms 119524 KB Output is correct
50 Correct 365 ms 117956 KB Output is correct
51 Correct 328 ms 114884 KB Output is correct
52 Correct 302 ms 109144 KB Output is correct
53 Correct 226 ms 85912 KB Output is correct
54 Correct 400 ms 120328 KB Output is correct
55 Correct 395 ms 123072 KB Output is correct
56 Correct 410 ms 126336 KB Output is correct
57 Correct 308 ms 116136 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 7 ms 35420 KB Output is correct
2 Correct 6 ms 35420 KB Output is correct
3 Correct 6 ms 35420 KB Output is correct
4 Correct 7 ms 35420 KB Output is correct
5 Correct 7 ms 35416 KB Output is correct
6 Correct 8 ms 35676 KB Output is correct
7 Correct 7 ms 35672 KB Output is correct
8 Correct 7 ms 35676 KB Output is correct
9 Correct 7 ms 35676 KB Output is correct
10 Correct 141 ms 103348 KB Output is correct
11 Correct 176 ms 117552 KB Output is correct
12 Correct 156 ms 115796 KB Output is correct
13 Correct 205 ms 124192 KB Output is correct
14 Correct 180 ms 126484 KB Output is correct
15 Correct 173 ms 101700 KB Output is correct
16 Correct 411 ms 118124 KB Output is correct
17 Correct 406 ms 115392 KB Output is correct
18 Correct 453 ms 128640 KB Output is correct
19 Correct 411 ms 125892 KB Output is correct
20 Correct 216 ms 107544 KB Output is correct
21 Correct 191 ms 114140 KB Output is correct
22 Correct 213 ms 107452 KB Output is correct
23 Correct 204 ms 112008 KB Output is correct
24 Correct 198 ms 108480 KB Output is correct
25 Correct 191 ms 107252 KB Output is correct
26 Correct 202 ms 107532 KB Output is correct
27 Correct 200 ms 107552 KB Output is correct
28 Correct 7 ms 35420 KB Output is correct
29 Correct 7 ms 35676 KB Output is correct
30 Correct 8 ms 35676 KB Output is correct
31 Correct 7 ms 35420 KB Output is correct
32 Correct 7 ms 35472 KB Output is correct
33 Correct 7 ms 35676 KB Output is correct
34 Correct 7 ms 35676 KB Output is correct
35 Correct 7 ms 35672 KB Output is correct
36 Correct 8 ms 35420 KB Output is correct
37 Correct 19 ms 43864 KB Output is correct
38 Correct 175 ms 123668 KB Output is correct
39 Correct 201 ms 119440 KB Output is correct
40 Correct 146 ms 116424 KB Output is correct
41 Correct 166 ms 110780 KB Output is correct
42 Correct 138 ms 110112 KB Output is correct
43 Correct 134 ms 106908 KB Output is correct
44 Correct 169 ms 120000 KB Output is correct
45 Correct 183 ms 122748 KB Output is correct
46 Correct 158 ms 123764 KB Output is correct
47 Correct 136 ms 114628 KB Output is correct
48 Correct 29 ms 43872 KB Output is correct
49 Correct 440 ms 121572 KB Output is correct
50 Correct 390 ms 119524 KB Output is correct
51 Correct 365 ms 117956 KB Output is correct
52 Correct 328 ms 114884 KB Output is correct
53 Correct 302 ms 109144 KB Output is correct
54 Correct 226 ms 85912 KB Output is correct
55 Correct 400 ms 120328 KB Output is correct
56 Correct 395 ms 123072 KB Output is correct
57 Correct 410 ms 126336 KB Output is correct
58 Correct 308 ms 116136 KB Output is correct
59 Correct 103 ms 55508 KB Output is correct
60 Correct 395 ms 117696 KB Output is correct
61 Correct 380 ms 114880 KB Output is correct
62 Correct 435 ms 125288 KB Output is correct
63 Correct 405 ms 125116 KB Output is correct
64 Correct 7 ms 35516 KB Output is correct
65 Correct 7 ms 35676 KB Output is correct
66 Correct 8 ms 35492 KB Output is correct
67 Correct 8 ms 35672 KB Output is correct
68 Correct 7 ms 35416 KB Output is correct
69 Incorrect 8 ms 35676 KB Output isn't correct
70 Halted 0 ms 0 KB -