oj.uz

Submission #980350

# Submission time Handle Problem Language Result Execution time Memory
980350 2024-05-12T05:47:13 Z vjudge1 Swapping Cities (APIO20_swap) C++17
100 / 100
 474 ms 130912 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(all(::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++)
      |                             ~~^~~~~~~~~~~~~~~~~~~~~

Subtask #1
6.0 / 6.0

# 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 8 ms 35420 KB Output is correct
4 Correct 8 ms 35420 KB Output is correct
5 Correct 8 ms 35676 KB Output is correct
6 Correct 7 ms 35676 KB Output is correct
7 Correct 7 ms 35676 KB Output is correct
8 Correct 7 ms 35676 KB Output is correct
9 Correct 130 ms 103360 KB Output is correct
10 Correct 172 ms 117008 KB Output is correct
11 Correct 161 ms 116360 KB Output is correct
12 Correct 175 ms 123840 KB Output is correct
13 Correct 196 ms 126916 KB Output is correct
14 Correct 161 ms 101324 KB Output is correct
15 Correct 405 ms 118136 KB Output is correct
16 Correct 391 ms 115296 KB Output is correct
17 Correct 434 ms 128756 KB Output is correct
18 Correct 411 ms 125880 KB Output is correct
19 Correct 99 ms 55520 KB Output is correct
20 Correct 389 ms 117700 KB Output is correct
21 Correct 384 ms 114908 KB Output is correct
22 Correct 416 ms 124864 KB Output is correct
23 Correct 414 ms 125072 KB Output is correct

Subtask #2
7.0 / 7.0

# 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 203 ms 107200 KB Output is correct
4 Correct 197 ms 114108 KB Output is correct
5 Correct 198 ms 107364 KB Output is correct
6 Correct 210 ms 112068 KB Output is correct
7 Correct 222 ms 107500 KB Output is correct
8 Correct 187 ms 107056 KB Output is correct
9 Correct 206 ms 107576 KB Output is correct
10 Correct 191 ms 107620 KB Output is correct

Subtask #3
17.0 / 17.0

# 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 8 ms 35420 KB Output is correct
4 Correct 8 ms 35420 KB Output is correct
5 Correct 8 ms 35676 KB Output is correct
6 Correct 7 ms 35676 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 35452 KB Output is correct
11 Correct 7 ms 35708 KB Output is correct
12 Correct 8 ms 35676 KB Output is correct
13 Correct 7 ms 35420 KB Output is correct
14 Correct 8 ms 35604 KB Output is correct
15 Correct 7 ms 35676 KB Output is correct
16 Correct 7 ms 35732 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 35604 KB Output is correct
20 Correct 7 ms 35656 KB Output is correct
21 Correct 7 ms 35672 KB Output is correct
22 Correct 7 ms 35680 KB Output is correct
23 Correct 7 ms 35420 KB Output is correct
24 Correct 8 ms 35672 KB Output is correct
25 Correct 7 ms 35676 KB Output is correct
26 Correct 8 ms 35676 KB Output is correct
27 Correct 7 ms 35672 KB Output is correct
28 Correct 8 ms 35672 KB Output is correct

Subtask #4
20.0 / 20.0

# Verdict Execution time Memory Grader output
1 Correct 7 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 8 ms 35420 KB Output is correct
5 Correct 8 ms 35420 KB Output is correct
6 Correct 8 ms 35676 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 35676 KB Output is correct
10 Correct 130 ms 103360 KB Output is correct
11 Correct 172 ms 117008 KB Output is correct
12 Correct 161 ms 116360 KB Output is correct
13 Correct 175 ms 123840 KB Output is correct
14 Correct 196 ms 126916 KB Output is correct
15 Correct 7 ms 35452 KB Output is correct
16 Correct 7 ms 35708 KB Output is correct
17 Correct 8 ms 35676 KB Output is correct
18 Correct 7 ms 35420 KB Output is correct
19 Correct 8 ms 35604 KB Output is correct
20 Correct 7 ms 35676 KB Output is correct
21 Correct 7 ms 35732 KB Output is correct
22 Correct 7 ms 35676 KB Output is correct
23 Correct 7 ms 35420 KB Output is correct
24 Correct 7 ms 35604 KB Output is correct
25 Correct 7 ms 35656 KB Output is correct
26 Correct 7 ms 35672 KB Output is correct
27 Correct 7 ms 35680 KB Output is correct
28 Correct 7 ms 35420 KB Output is correct
29 Correct 8 ms 35672 KB Output is correct
30 Correct 7 ms 35676 KB Output is correct
31 Correct 8 ms 35676 KB Output is correct
32 Correct 7 ms 35672 KB Output is correct
33 Correct 8 ms 35672 KB Output is correct
34 Correct 23 ms 43940 KB Output is correct
35 Correct 176 ms 122960 KB Output is correct
36 Correct 168 ms 118864 KB Output is correct
37 Correct 149 ms 116012 KB Output is correct
38 Correct 143 ms 110784 KB Output is correct
39 Correct 136 ms 110532 KB Output is correct
40 Correct 124 ms 106688 KB Output is correct
41 Correct 177 ms 120248 KB Output is correct
42 Correct 173 ms 122260 KB Output is correct
43 Correct 168 ms 123788 KB Output is correct
44 Correct 146 ms 114656 KB Output is correct
45 Correct 163 ms 106908 KB Output is correct
46 Correct 154 ms 117372 KB Output is correct
47 Correct 138 ms 112576 KB Output is correct
48 Correct 142 ms 109064 KB Output is correct
49 Correct 66 ms 53816 KB Output is correct
50 Correct 60 ms 53700 KB Output is correct
51 Correct 125 ms 89796 KB Output is correct
52 Correct 223 ms 125364 KB Output is correct
53 Correct 216 ms 123324 KB Output is correct
54 Correct 243 ms 130484 KB Output is correct
55 Correct 164 ms 126340 KB Output is correct
56 Correct 195 ms 123576 KB Output is correct

Subtask #5
23.0 / 23.0

# 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 8 ms 35420 KB Output is correct
4 Correct 8 ms 35420 KB Output is correct
5 Correct 8 ms 35676 KB Output is correct
6 Correct 7 ms 35676 KB Output is correct
7 Correct 7 ms 35676 KB Output is correct
8 Correct 7 ms 35676 KB Output is correct
9 Correct 130 ms 103360 KB Output is correct
10 Correct 172 ms 117008 KB Output is correct
11 Correct 161 ms 116360 KB Output is correct
12 Correct 175 ms 123840 KB Output is correct
13 Correct 196 ms 126916 KB Output is correct
14 Correct 161 ms 101324 KB Output is correct
15 Correct 405 ms 118136 KB Output is correct
16 Correct 391 ms 115296 KB Output is correct
17 Correct 434 ms 128756 KB Output is correct
18 Correct 411 ms 125880 KB Output is correct
19 Correct 203 ms 107200 KB Output is correct
20 Correct 197 ms 114108 KB Output is correct
21 Correct 198 ms 107364 KB Output is correct
22 Correct 210 ms 112068 KB Output is correct
23 Correct 222 ms 107500 KB Output is correct
24 Correct 187 ms 107056 KB Output is correct
25 Correct 206 ms 107576 KB Output is correct
26 Correct 191 ms 107620 KB Output is correct
27 Correct 7 ms 35452 KB Output is correct
28 Correct 7 ms 35708 KB Output is correct
29 Correct 8 ms 35676 KB Output is correct
30 Correct 7 ms 35420 KB Output is correct
31 Correct 8 ms 35604 KB Output is correct
32 Correct 7 ms 35676 KB Output is correct
33 Correct 7 ms 35732 KB Output is correct
34 Correct 7 ms 35676 KB Output is correct
35 Correct 7 ms 35420 KB Output is correct
36 Correct 23 ms 43940 KB Output is correct
37 Correct 176 ms 122960 KB Output is correct
38 Correct 168 ms 118864 KB Output is correct
39 Correct 149 ms 116012 KB Output is correct
40 Correct 143 ms 110784 KB Output is correct
41 Correct 136 ms 110532 KB Output is correct
42 Correct 124 ms 106688 KB Output is correct
43 Correct 177 ms 120248 KB Output is correct
44 Correct 173 ms 122260 KB Output is correct
45 Correct 168 ms 123788 KB Output is correct
46 Correct 146 ms 114656 KB Output is correct
47 Correct 28 ms 44012 KB Output is correct
48 Correct 406 ms 121784 KB Output is correct
49 Correct 385 ms 119232 KB Output is correct
50 Correct 357 ms 117668 KB Output is correct
51 Correct 343 ms 114664 KB Output is correct
52 Correct 283 ms 108988 KB Output is correct
53 Correct 227 ms 86020 KB Output is correct
54 Correct 385 ms 121136 KB Output is correct
55 Correct 395 ms 122516 KB Output is correct
56 Correct 448 ms 126252 KB Output is correct
57 Correct 334 ms 116264 KB Output is correct

Subtask #6
27.0 / 27.0

# Verdict Execution time Memory Grader output
1 Correct 7 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 8 ms 35420 KB Output is correct
5 Correct 8 ms 35420 KB Output is correct
6 Correct 8 ms 35676 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 35676 KB Output is correct
10 Correct 130 ms 103360 KB Output is correct
11 Correct 172 ms 117008 KB Output is correct
12 Correct 161 ms 116360 KB Output is correct
13 Correct 175 ms 123840 KB Output is correct
14 Correct 196 ms 126916 KB Output is correct
15 Correct 161 ms 101324 KB Output is correct
16 Correct 405 ms 118136 KB Output is correct
17 Correct 391 ms 115296 KB Output is correct
18 Correct 434 ms 128756 KB Output is correct
19 Correct 411 ms 125880 KB Output is correct
20 Correct 203 ms 107200 KB Output is correct
21 Correct 197 ms 114108 KB Output is correct
22 Correct 198 ms 107364 KB Output is correct
23 Correct 210 ms 112068 KB Output is correct
24 Correct 222 ms 107500 KB Output is correct
25 Correct 187 ms 107056 KB Output is correct
26 Correct 206 ms 107576 KB Output is correct
27 Correct 191 ms 107620 KB Output is correct
28 Correct 7 ms 35452 KB Output is correct
29 Correct 7 ms 35708 KB Output is correct
30 Correct 8 ms 35676 KB Output is correct
31 Correct 7 ms 35420 KB Output is correct
32 Correct 8 ms 35604 KB Output is correct
33 Correct 7 ms 35676 KB Output is correct
34 Correct 7 ms 35732 KB Output is correct
35 Correct 7 ms 35676 KB Output is correct
36 Correct 7 ms 35420 KB Output is correct
37 Correct 23 ms 43940 KB Output is correct
38 Correct 176 ms 122960 KB Output is correct
39 Correct 168 ms 118864 KB Output is correct
40 Correct 149 ms 116012 KB Output is correct
41 Correct 143 ms 110784 KB Output is correct
42 Correct 136 ms 110532 KB Output is correct
43 Correct 124 ms 106688 KB Output is correct
44 Correct 177 ms 120248 KB Output is correct
45 Correct 173 ms 122260 KB Output is correct
46 Correct 168 ms 123788 KB Output is correct
47 Correct 146 ms 114656 KB Output is correct
48 Correct 28 ms 44012 KB Output is correct
49 Correct 406 ms 121784 KB Output is correct
50 Correct 385 ms 119232 KB Output is correct
51 Correct 357 ms 117668 KB Output is correct
52 Correct 343 ms 114664 KB Output is correct
53 Correct 283 ms 108988 KB Output is correct
54 Correct 227 ms 86020 KB Output is correct
55 Correct 385 ms 121136 KB Output is correct
56 Correct 395 ms 122516 KB Output is correct
57 Correct 448 ms 126252 KB Output is correct
58 Correct 334 ms 116264 KB Output is correct
59 Correct 99 ms 55520 KB Output is correct
60 Correct 389 ms 117700 KB Output is correct
61 Correct 384 ms 114908 KB Output is correct
62 Correct 416 ms 124864 KB Output is correct
63 Correct 414 ms 125072 KB Output is correct
64 Correct 7 ms 35604 KB Output is correct
65 Correct 7 ms 35656 KB Output is correct
66 Correct 7 ms 35672 KB Output is correct
67 Correct 7 ms 35680 KB Output is correct
68 Correct 7 ms 35420 KB Output is correct
69 Correct 8 ms 35672 KB Output is correct
70 Correct 7 ms 35676 KB Output is correct
71 Correct 8 ms 35676 KB Output is correct
72 Correct 7 ms 35672 KB Output is correct
73 Correct 8 ms 35672 KB Output is correct
74 Correct 163 ms 106908 KB Output is correct
75 Correct 154 ms 117372 KB Output is correct
76 Correct 138 ms 112576 KB Output is correct
77 Correct 142 ms 109064 KB Output is correct
78 Correct 66 ms 53816 KB Output is correct
79 Correct 60 ms 53700 KB Output is correct
80 Correct 125 ms 89796 KB Output is correct
81 Correct 223 ms 125364 KB Output is correct
82 Correct 216 ms 123324 KB Output is correct
83 Correct 243 ms 130484 KB Output is correct
84 Correct 164 ms 126340 KB Output is correct
85 Correct 195 ms 123576 KB Output is correct
86 Correct 88 ms 61624 KB Output is correct
87 Correct 380 ms 118600 KB Output is correct
88 Correct 394 ms 118796 KB Output is correct
89 Correct 285 ms 109752 KB Output is correct
90 Correct 143 ms 52908 KB Output is correct
91 Correct 159 ms 59344 KB Output is correct
92 Correct 247 ms 90816 KB Output is correct
93 Correct 444 ms 127016 KB Output is correct
94 Correct 351 ms 124856 KB Output is correct
95 Correct 474 ms 130912 KB Output is correct
96 Correct 393 ms 123072 KB Output is correct
97 Correct 330 ms 121528 KB Output is correct