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Submission #980065

# Submission time Handle Problem Language Result Execution time Memory
980065 2024-05-11T21:07:09 Z hasan2006 Swapping Cities (APIO20_swap) C++17
36 / 100
 420 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){
    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);
    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 = 20; 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 == 1e18)
        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 = 20; 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 = 20; 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 == 1e18)
        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:158:31: 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]
  158 |     for(int i = 0; i < 3 && i < v[par[x][0]].size(); i++)
      |                             ~~^~~~~~~~~~~~~~~~~~~~~

Subtask #1
6.0 / 6.0

# Verdict Execution time Memory Grader output
1 Correct 10 ms 35420 KB Output is correct
2 Correct 7 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 35676 KB Output is correct
6 Correct 7 ms 35676 KB Output is correct
7 Correct 8 ms 35676 KB Output is correct
8 Correct 7 ms 35676 KB Output is correct
9 Correct 131 ms 102644 KB Output is correct
10 Correct 163 ms 116928 KB Output is correct
11 Correct 159 ms 116164 KB Output is correct
12 Correct 177 ms 124604 KB Output is correct
13 Correct 170 ms 127128 KB Output is correct
14 Correct 144 ms 101288 KB Output is correct
15 Correct 388 ms 118332 KB Output is correct
16 Correct 371 ms 115136 KB Output is correct
17 Correct 420 ms 128192 KB Output is correct
18 Correct 391 ms 125808 KB Output is correct
19 Correct 100 ms 55524 KB Output is correct
20 Correct 387 ms 117804 KB Output is correct
21 Correct 412 ms 114836 KB Output is correct
22 Correct 403 ms 124604 KB Output is correct
23 Correct 386 ms 125120 KB Output is correct

Subtask #2
7.0 / 7.0

# Verdict Execution time Memory Grader output
1 Correct 10 ms 35420 KB Output is correct
2 Correct 7 ms 35420 KB Output is correct
3 Correct 186 ms 107204 KB Output is correct
4 Correct 201 ms 114068 KB Output is correct
5 Correct 192 ms 107456 KB Output is correct
6 Correct 204 ms 111900 KB Output is correct
7 Correct 193 ms 107616 KB Output is correct
8 Correct 187 ms 106944 KB Output is correct
9 Correct 193 ms 107572 KB Output is correct
10 Correct 186 ms 106784 KB Output is correct

Subtask #3
0 / 17.0

# Verdict Execution time Memory Grader output
1 Correct 10 ms 35420 KB Output is correct
2 Correct 7 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 35676 KB Output is correct
6 Correct 7 ms 35676 KB Output is correct
7 Correct 8 ms 35676 KB Output is correct
8 Correct 7 ms 35676 KB Output is correct
9 Correct 6 ms 35420 KB Output is correct
10 Correct 8 ms 35420 KB Output is correct
11 Correct 7 ms 35696 KB Output is correct
12 Correct 7 ms 35676 KB Output is correct
13 Correct 7 ms 35420 KB Output is correct
14 Correct 7 ms 35420 KB Output is correct
15 Correct 7 ms 35676 KB Output is correct
16 Correct 7 ms 35520 KB Output is correct
17 Correct 8 ms 35676 KB Output is correct
18 Correct 7 ms 35416 KB Output is correct
19 Correct 8 ms 35468 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 35676 KB Output is correct
23 Correct 8 ms 35520 KB Output is correct
24 Incorrect 8 ms 35676 KB Output isn't correct
25 Halted 0 ms 0 KB -

Subtask #4
0 / 20.0

# Verdict Execution time Memory Grader output
1 Correct 6 ms 35420 KB Output is correct
2 Correct 10 ms 35420 KB Output is correct
3 Correct 7 ms 35420 KB Output is correct
4 Correct 6 ms 35420 KB Output is correct
5 Correct 7 ms 35420 KB Output is correct
6 Correct 7 ms 35676 KB Output is correct
7 Correct 7 ms 35676 KB Output is correct
8 Correct 8 ms 35676 KB Output is correct
9 Correct 7 ms 35676 KB Output is correct
10 Correct 131 ms 102644 KB Output is correct
11 Correct 163 ms 116928 KB Output is correct
12 Correct 159 ms 116164 KB Output is correct
13 Correct 177 ms 124604 KB Output is correct
14 Correct 170 ms 127128 KB Output is correct
15 Correct 8 ms 35420 KB Output is correct
16 Correct 7 ms 35696 KB Output is correct
17 Correct 7 ms 35676 KB Output is correct
18 Correct 7 ms 35420 KB Output is correct
19 Correct 7 ms 35420 KB Output is correct
20 Correct 7 ms 35676 KB Output is correct
21 Correct 7 ms 35520 KB Output is correct
22 Correct 8 ms 35676 KB Output is correct
23 Correct 7 ms 35416 KB Output is correct
24 Correct 8 ms 35468 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 35676 KB Output is correct
28 Correct 8 ms 35520 KB Output is correct
29 Incorrect 8 ms 35676 KB Output isn't correct
30 Halted 0 ms 0 KB -

Subtask #5
23.0 / 23.0

# Verdict Execution time Memory Grader output
1 Correct 10 ms 35420 KB Output is correct
2 Correct 7 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 35676 KB Output is correct
6 Correct 7 ms 35676 KB Output is correct
7 Correct 8 ms 35676 KB Output is correct
8 Correct 7 ms 35676 KB Output is correct
9 Correct 131 ms 102644 KB Output is correct
10 Correct 163 ms 116928 KB Output is correct
11 Correct 159 ms 116164 KB Output is correct
12 Correct 177 ms 124604 KB Output is correct
13 Correct 170 ms 127128 KB Output is correct
14 Correct 144 ms 101288 KB Output is correct
15 Correct 388 ms 118332 KB Output is correct
16 Correct 371 ms 115136 KB Output is correct
17 Correct 420 ms 128192 KB Output is correct
18 Correct 391 ms 125808 KB Output is correct
19 Correct 186 ms 107204 KB Output is correct
20 Correct 201 ms 114068 KB Output is correct
21 Correct 192 ms 107456 KB Output is correct
22 Correct 204 ms 111900 KB Output is correct
23 Correct 193 ms 107616 KB Output is correct
24 Correct 187 ms 106944 KB Output is correct
25 Correct 193 ms 107572 KB Output is correct
26 Correct 186 ms 106784 KB Output is correct
27 Correct 8 ms 35420 KB Output is correct
28 Correct 7 ms 35696 KB Output is correct
29 Correct 7 ms 35676 KB Output is correct
30 Correct 7 ms 35420 KB Output is correct
31 Correct 7 ms 35420 KB Output is correct
32 Correct 7 ms 35676 KB Output is correct
33 Correct 7 ms 35520 KB Output is correct
34 Correct 8 ms 35676 KB Output is correct
35 Correct 7 ms 35416 KB Output is correct
36 Correct 19 ms 43860 KB Output is correct
37 Correct 201 ms 123076 KB Output is correct
38 Correct 180 ms 118980 KB Output is correct
39 Correct 147 ms 115996 KB Output is correct
40 Correct 138 ms 111580 KB Output is correct
41 Correct 131 ms 110536 KB Output is correct
42 Correct 128 ms 106764 KB Output is correct
43 Correct 188 ms 120256 KB Output is correct
44 Correct 165 ms 122312 KB Output is correct
45 Correct 157 ms 123800 KB Output is correct
46 Correct 139 ms 114620 KB Output is correct
47 Correct 28 ms 43860 KB Output is correct
48 Correct 379 ms 121532 KB Output is correct
49 Correct 400 ms 119488 KB Output is correct
50 Correct 396 ms 117664 KB Output is correct
51 Correct 342 ms 114624 KB Output is correct
52 Correct 288 ms 109360 KB Output is correct
53 Correct 230 ms 86068 KB Output is correct
54 Correct 399 ms 120460 KB Output is correct
55 Correct 410 ms 122816 KB Output is correct
56 Correct 419 ms 126916 KB Output is correct
57 Correct 287 ms 116128 KB Output is correct

Subtask #6
0 / 27.0

# Verdict Execution time Memory Grader output
1 Correct 6 ms 35420 KB Output is correct
2 Correct 10 ms 35420 KB Output is correct
3 Correct 7 ms 35420 KB Output is correct
4 Correct 6 ms 35420 KB Output is correct
5 Correct 7 ms 35420 KB Output is correct
6 Correct 7 ms 35676 KB Output is correct
7 Correct 7 ms 35676 KB Output is correct
8 Correct 8 ms 35676 KB Output is correct
9 Correct 7 ms 35676 KB Output is correct
10 Correct 131 ms 102644 KB Output is correct
11 Correct 163 ms 116928 KB Output is correct
12 Correct 159 ms 116164 KB Output is correct
13 Correct 177 ms 124604 KB Output is correct
14 Correct 170 ms 127128 KB Output is correct
15 Correct 144 ms 101288 KB Output is correct
16 Correct 388 ms 118332 KB Output is correct
17 Correct 371 ms 115136 KB Output is correct
18 Correct 420 ms 128192 KB Output is correct
19 Correct 391 ms 125808 KB Output is correct
20 Correct 186 ms 107204 KB Output is correct
21 Correct 201 ms 114068 KB Output is correct
22 Correct 192 ms 107456 KB Output is correct
23 Correct 204 ms 111900 KB Output is correct
24 Correct 193 ms 107616 KB Output is correct
25 Correct 187 ms 106944 KB Output is correct
26 Correct 193 ms 107572 KB Output is correct
27 Correct 186 ms 106784 KB Output is correct
28 Correct 8 ms 35420 KB Output is correct
29 Correct 7 ms 35696 KB Output is correct
30 Correct 7 ms 35676 KB Output is correct
31 Correct 7 ms 35420 KB Output is correct
32 Correct 7 ms 35420 KB Output is correct
33 Correct 7 ms 35676 KB Output is correct
34 Correct 7 ms 35520 KB Output is correct
35 Correct 8 ms 35676 KB Output is correct
36 Correct 7 ms 35416 KB Output is correct
37 Correct 19 ms 43860 KB Output is correct
38 Correct 201 ms 123076 KB Output is correct
39 Correct 180 ms 118980 KB Output is correct
40 Correct 147 ms 115996 KB Output is correct
41 Correct 138 ms 111580 KB Output is correct
42 Correct 131 ms 110536 KB Output is correct
43 Correct 128 ms 106764 KB Output is correct
44 Correct 188 ms 120256 KB Output is correct
45 Correct 165 ms 122312 KB Output is correct
46 Correct 157 ms 123800 KB Output is correct
47 Correct 139 ms 114620 KB Output is correct
48 Correct 28 ms 43860 KB Output is correct
49 Correct 379 ms 121532 KB Output is correct
50 Correct 400 ms 119488 KB Output is correct
51 Correct 396 ms 117664 KB Output is correct
52 Correct 342 ms 114624 KB Output is correct
53 Correct 288 ms 109360 KB Output is correct
54 Correct 230 ms 86068 KB Output is correct
55 Correct 399 ms 120460 KB Output is correct
56 Correct 410 ms 122816 KB Output is correct
57 Correct 419 ms 126916 KB Output is correct
58 Correct 287 ms 116128 KB Output is correct
59 Correct 100 ms 55524 KB Output is correct
60 Correct 387 ms 117804 KB Output is correct
61 Correct 412 ms 114836 KB Output is correct
62 Correct 403 ms 124604 KB Output is correct
63 Correct 386 ms 125120 KB Output is correct
64 Correct 8 ms 35468 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 35676 KB Output is correct
68 Correct 8 ms 35520 KB Output is correct
69 Incorrect 8 ms 35676 KB Output isn't correct
70 Halted 0 ms 0 KB -