oj.uz

Submission #745370

# Submission time Handle Problem Language Result Execution time Memory
745370 2023-05-19T22:13:26 Z Lobo Swapping Cities (APIO20_swap) C++17
100 / 100
 470 ms 55904 KB 
#include "swap.h"
#include <bits/stdc++.h>
using namespace std;
#define fr first
#define sc second
#define mp make_pair
#define pb push_back
#define all(x) x.begin(),x.end()
const int maxn = 2e5+10;
const int lg = 20;

int n, m, gr[maxn], ds[maxn], dsz[maxn], mn[maxn];
vector<int> mn0[maxn];
vector<pair<int,pair<int,int>>> edgs;
int p[maxn][lg+2], w[maxn][lg+2], h[maxn];
vector<pair<int,int>> g[maxn];

int find(int u) {
    if(ds[u] == u) return u;
    return ds[u] = find(ds[u]);
}

void join(int u, int v, int id) {
    gr[u]++;
    gr[v]++;
    int mxgr = max(gr[u],gr[v]);

    u = find(u);
    v = find(v);

    if(u == v || mxgr >= 3 || mn[u] != -1 || mn[v] != -1) {
        if(mn0[u].size()) {
            for(auto x : mn0[u]) {
                mn[x] = id;
            }
            mn0[u].clear();
        }
        if(mn0[v].size()) {
            for(auto x : mn0[v]) {
                mn[x] = id;
            }
            mn0[v].clear();
        }
    }
    if(u == v) return;

    if(dsz[u] < dsz[v]) swap(u,v);

    for(auto x : mn0[v]) {
        mn0[u].pb(x);
    }

    dsz[u]+= dsz[v];
    ds[v] = u;
}


int ds1[maxn], dsz1[maxn];
int find1(int u) {
    if(ds1[u] == u) return u;
    return ds1[u] = find1(ds1[u]);
}

void join1(int u, int v) {
    u = find1(u);
    v = find1(v);
    if(u == v) return;

    if(dsz1[u] < dsz1[v]) swap(u,v);
    dsz1[u]+= dsz1[v];
    ds1[v] = u;
}

void dfs(int u, int ant, int antw) {
    p[u][0] = ant;
    w[u][0] = antw;

    for(int i = 1; i <= lg; i++) {
        p[u][i] = p[p[u][i-1]][i-1];
        w[u][i] = max(w[u][i-1],w[p[u][i-1]][i-1]);
    }

    for(auto V : g[u]) if(V.fr != ant) {
        h[V.fr] = h[u]+1;
        dfs(V.fr,u,V.sc);
    }
}

int lca(int u, int v) {
    int ans = 0;
    if(h[u] < h[v]) swap(u,v);

    for(int i = lg; i >= 0; i--) {
        if(h[p[u][i]] >= h[v]) {
            ans = max(ans, w[u][i]);
            u = p[u][i];
        }
    }
    if(u == v) return ans;

    for(int i = lg; i >= 0; i--) {
        if(p[u][i] != p[v][i]) {
            ans = max(ans,w[u][i]);
            u = p[u][i];
            ans = max(ans,w[v][i]);
            v = p[v][i];
        }
    }
    ans = max(ans, w[u][0]);
    ans = max(ans, w[v][0]);
    return ans;
}

void init(int N, int M, vector<int> U, std::vector<int> V, std::vector<int> W) {
    n = N;
    m = M;

    for(auto i = 0; i < m; i++) {
        edgs.pb(mp(W[i],mp(U[i],V[i])));
    }

    sort(all(edgs));

    for(int i = 0; i < n; i++) {
        gr[i] = 0;
        mn[i] = -1;
        ds[i] = i;
        dsz[i] = 1;
        mn0[i].clear();
        mn0[i].pb(i);
        p[i][0] = -1;
    }

    for(int i = 0; i < m; i++) {
        int u = edgs[i].sc.fr;
        int v = edgs[i].sc.sc;
        if(find(u) != find(v)) {
            g[u].pb(mp(v,i));
            g[v].pb(mp(u,i));
        }
        join(u,v,i);
    }
    dfs(0,0,-1);
}

int getMinimumFuelCapacity(int x, int y) {
    if(mn[x] == -1 || mn[y] == -1) return -1;

    return edgs[max({lca(x,y),mn[x],mn[y]})].fr;

}

Subtask #1
6.0 / 6.0

# Verdict Execution time Memory Grader output
1 Correct 5 ms 9684 KB Output is correct
2 Correct 5 ms 9684 KB Output is correct
3 Correct 5 ms 9684 KB Output is correct
4 Correct 5 ms 9812 KB Output is correct
5 Correct 6 ms 9940 KB Output is correct
6 Correct 5 ms 10020 KB Output is correct
7 Correct 5 ms 10068 KB Output is correct
8 Correct 5 ms 10068 KB Output is correct
9 Correct 133 ms 38648 KB Output is correct
10 Correct 176 ms 45504 KB Output is correct
11 Correct 169 ms 44612 KB Output is correct
12 Correct 185 ms 47004 KB Output is correct
13 Correct 164 ms 45824 KB Output is correct
14 Correct 151 ms 37972 KB Output is correct
15 Correct 232 ms 47736 KB Output is correct
16 Correct 227 ms 45288 KB Output is correct
17 Correct 245 ms 50264 KB Output is correct
18 Correct 207 ms 46328 KB Output is correct
19 Correct 101 ms 19104 KB Output is correct
20 Correct 401 ms 48280 KB Output is correct
21 Correct 414 ms 46528 KB Output is correct
22 Correct 443 ms 49880 KB Output is correct
23 Correct 377 ms 47396 KB Output is correct

Subtask #2
7.0 / 7.0

# Verdict Execution time Memory Grader output
1 Correct 5 ms 9684 KB Output is correct
2 Correct 5 ms 9684 KB Output is correct
3 Correct 219 ms 40892 KB Output is correct
4 Correct 212 ms 42252 KB Output is correct
5 Correct 206 ms 41452 KB Output is correct
6 Correct 216 ms 42096 KB Output is correct
7 Correct 214 ms 41920 KB Output is correct
8 Correct 200 ms 40656 KB Output is correct
9 Correct 204 ms 41844 KB Output is correct
10 Correct 211 ms 40428 KB Output is correct

Subtask #3
17.0 / 17.0

# Verdict Execution time Memory Grader output
1 Correct 5 ms 9684 KB Output is correct
2 Correct 5 ms 9684 KB Output is correct
3 Correct 5 ms 9684 KB Output is correct
4 Correct 5 ms 9812 KB Output is correct
5 Correct 6 ms 9940 KB Output is correct
6 Correct 5 ms 10020 KB Output is correct
7 Correct 5 ms 10068 KB Output is correct
8 Correct 5 ms 10068 KB Output is correct
9 Correct 5 ms 9684 KB Output is correct
10 Correct 8 ms 10004 KB Output is correct
11 Correct 6 ms 10068 KB Output is correct
12 Correct 6 ms 10000 KB Output is correct
13 Correct 6 ms 9940 KB Output is correct
14 Correct 6 ms 9940 KB Output is correct
15 Correct 6 ms 9980 KB Output is correct
16 Correct 6 ms 10068 KB Output is correct
17 Correct 6 ms 10068 KB Output is correct
18 Correct 6 ms 10024 KB Output is correct
19 Correct 6 ms 9940 KB Output is correct
20 Correct 6 ms 10048 KB Output is correct
21 Correct 6 ms 9940 KB Output is correct
22 Correct 6 ms 9812 KB Output is correct
23 Correct 6 ms 9892 KB Output is correct
24 Correct 7 ms 10068 KB Output is correct
25 Correct 6 ms 10068 KB Output is correct
26 Correct 7 ms 10068 KB Output is correct
27 Correct 6 ms 10028 KB Output is correct
28 Correct 6 ms 9956 KB Output is correct

Subtask #4
20.0 / 20.0

# Verdict Execution time Memory Grader output
1 Correct 5 ms 9684 KB Output is correct
2 Correct 5 ms 9684 KB Output is correct
3 Correct 5 ms 9684 KB Output is correct
4 Correct 5 ms 9684 KB Output is correct
5 Correct 5 ms 9812 KB Output is correct
6 Correct 6 ms 9940 KB Output is correct
7 Correct 5 ms 10020 KB Output is correct
8 Correct 5 ms 10068 KB Output is correct
9 Correct 5 ms 10068 KB Output is correct
10 Correct 133 ms 38648 KB Output is correct
11 Correct 176 ms 45504 KB Output is correct
12 Correct 169 ms 44612 KB Output is correct
13 Correct 185 ms 47004 KB Output is correct
14 Correct 164 ms 45824 KB Output is correct
15 Correct 8 ms 10004 KB Output is correct
16 Correct 6 ms 10068 KB Output is correct
17 Correct 6 ms 10000 KB Output is correct
18 Correct 6 ms 9940 KB Output is correct
19 Correct 6 ms 9940 KB Output is correct
20 Correct 6 ms 9980 KB Output is correct
21 Correct 6 ms 10068 KB Output is correct
22 Correct 6 ms 10068 KB Output is correct
23 Correct 6 ms 10024 KB Output is correct
24 Correct 6 ms 9940 KB Output is correct
25 Correct 6 ms 10048 KB Output is correct
26 Correct 6 ms 9940 KB Output is correct
27 Correct 6 ms 9812 KB Output is correct
28 Correct 6 ms 9892 KB Output is correct
29 Correct 7 ms 10068 KB Output is correct
30 Correct 6 ms 10068 KB Output is correct
31 Correct 7 ms 10068 KB Output is correct
32 Correct 6 ms 10028 KB Output is correct
33 Correct 6 ms 9956 KB Output is correct
34 Correct 18 ms 13704 KB Output is correct
35 Correct 189 ms 45692 KB Output is correct
36 Correct 176 ms 43116 KB Output is correct
37 Correct 161 ms 40764 KB Output is correct
38 Correct 152 ms 39456 KB Output is correct
39 Correct 144 ms 38544 KB Output is correct
40 Correct 141 ms 36160 KB Output is correct
41 Correct 191 ms 44672 KB Output is correct
42 Correct 183 ms 45760 KB Output is correct
43 Correct 147 ms 43492 KB Output is correct
44 Correct 139 ms 39288 KB Output is correct
45 Correct 131 ms 35276 KB Output is correct
46 Correct 172 ms 42332 KB Output is correct
47 Correct 148 ms 39388 KB Output is correct
48 Correct 141 ms 38652 KB Output is correct
49 Correct 62 ms 16560 KB Output is correct
50 Correct 52 ms 15860 KB Output is correct
51 Correct 119 ms 30832 KB Output is correct
52 Correct 209 ms 44628 KB Output is correct
53 Correct 187 ms 42512 KB Output is correct
54 Correct 221 ms 48140 KB Output is correct
55 Correct 159 ms 44648 KB Output is correct
56 Correct 164 ms 41676 KB Output is correct

Subtask #5
23.0 / 23.0

# Verdict Execution time Memory Grader output
1 Correct 5 ms 9684 KB Output is correct
2 Correct 5 ms 9684 KB Output is correct
3 Correct 5 ms 9684 KB Output is correct
4 Correct 5 ms 9812 KB Output is correct
5 Correct 6 ms 9940 KB Output is correct
6 Correct 5 ms 10020 KB Output is correct
7 Correct 5 ms 10068 KB Output is correct
8 Correct 5 ms 10068 KB Output is correct
9 Correct 133 ms 38648 KB Output is correct
10 Correct 176 ms 45504 KB Output is correct
11 Correct 169 ms 44612 KB Output is correct
12 Correct 185 ms 47004 KB Output is correct
13 Correct 164 ms 45824 KB Output is correct
14 Correct 151 ms 37972 KB Output is correct
15 Correct 232 ms 47736 KB Output is correct
16 Correct 227 ms 45288 KB Output is correct
17 Correct 245 ms 50264 KB Output is correct
18 Correct 207 ms 46328 KB Output is correct
19 Correct 219 ms 40892 KB Output is correct
20 Correct 212 ms 42252 KB Output is correct
21 Correct 206 ms 41452 KB Output is correct
22 Correct 216 ms 42096 KB Output is correct
23 Correct 214 ms 41920 KB Output is correct
24 Correct 200 ms 40656 KB Output is correct
25 Correct 204 ms 41844 KB Output is correct
26 Correct 211 ms 40428 KB Output is correct
27 Correct 8 ms 10004 KB Output is correct
28 Correct 6 ms 10068 KB Output is correct
29 Correct 6 ms 10000 KB Output is correct
30 Correct 6 ms 9940 KB Output is correct
31 Correct 6 ms 9940 KB Output is correct
32 Correct 6 ms 9980 KB Output is correct
33 Correct 6 ms 10068 KB Output is correct
34 Correct 6 ms 10068 KB Output is correct
35 Correct 6 ms 10024 KB Output is correct
36 Correct 18 ms 13704 KB Output is correct
37 Correct 189 ms 45692 KB Output is correct
38 Correct 176 ms 43116 KB Output is correct
39 Correct 161 ms 40764 KB Output is correct
40 Correct 152 ms 39456 KB Output is correct
41 Correct 144 ms 38544 KB Output is correct
42 Correct 141 ms 36160 KB Output is correct
43 Correct 191 ms 44672 KB Output is correct
44 Correct 183 ms 45760 KB Output is correct
45 Correct 147 ms 43492 KB Output is correct
46 Correct 139 ms 39288 KB Output is correct
47 Correct 26 ms 14112 KB Output is correct
48 Correct 442 ms 51080 KB Output is correct
49 Correct 413 ms 48776 KB Output is correct
50 Correct 376 ms 47512 KB Output is correct
51 Correct 365 ms 46512 KB Output is correct
52 Correct 319 ms 43892 KB Output is correct
53 Correct 213 ms 36460 KB Output is correct
54 Correct 435 ms 51676 KB Output is correct
55 Correct 431 ms 52136 KB Output is correct
56 Correct 376 ms 50656 KB Output is correct
57 Correct 300 ms 46848 KB Output is correct

Subtask #6
27.0 / 27.0

# Verdict Execution time Memory Grader output
1 Correct 5 ms 9684 KB Output is correct
2 Correct 5 ms 9684 KB Output is correct
3 Correct 5 ms 9684 KB Output is correct
4 Correct 5 ms 9684 KB Output is correct
5 Correct 5 ms 9812 KB Output is correct
6 Correct 6 ms 9940 KB Output is correct
7 Correct 5 ms 10020 KB Output is correct
8 Correct 5 ms 10068 KB Output is correct
9 Correct 5 ms 10068 KB Output is correct
10 Correct 133 ms 38648 KB Output is correct
11 Correct 176 ms 45504 KB Output is correct
12 Correct 169 ms 44612 KB Output is correct
13 Correct 185 ms 47004 KB Output is correct
14 Correct 164 ms 45824 KB Output is correct
15 Correct 151 ms 37972 KB Output is correct
16 Correct 232 ms 47736 KB Output is correct
17 Correct 227 ms 45288 KB Output is correct
18 Correct 245 ms 50264 KB Output is correct
19 Correct 207 ms 46328 KB Output is correct
20 Correct 219 ms 40892 KB Output is correct
21 Correct 212 ms 42252 KB Output is correct
22 Correct 206 ms 41452 KB Output is correct
23 Correct 216 ms 42096 KB Output is correct
24 Correct 214 ms 41920 KB Output is correct
25 Correct 200 ms 40656 KB Output is correct
26 Correct 204 ms 41844 KB Output is correct
27 Correct 211 ms 40428 KB Output is correct
28 Correct 8 ms 10004 KB Output is correct
29 Correct 6 ms 10068 KB Output is correct
30 Correct 6 ms 10000 KB Output is correct
31 Correct 6 ms 9940 KB Output is correct
32 Correct 6 ms 9940 KB Output is correct
33 Correct 6 ms 9980 KB Output is correct
34 Correct 6 ms 10068 KB Output is correct
35 Correct 6 ms 10068 KB Output is correct
36 Correct 6 ms 10024 KB Output is correct
37 Correct 18 ms 13704 KB Output is correct
38 Correct 189 ms 45692 KB Output is correct
39 Correct 176 ms 43116 KB Output is correct
40 Correct 161 ms 40764 KB Output is correct
41 Correct 152 ms 39456 KB Output is correct
42 Correct 144 ms 38544 KB Output is correct
43 Correct 141 ms 36160 KB Output is correct
44 Correct 191 ms 44672 KB Output is correct
45 Correct 183 ms 45760 KB Output is correct
46 Correct 147 ms 43492 KB Output is correct
47 Correct 139 ms 39288 KB Output is correct
48 Correct 26 ms 14112 KB Output is correct
49 Correct 442 ms 51080 KB Output is correct
50 Correct 413 ms 48776 KB Output is correct
51 Correct 376 ms 47512 KB Output is correct
52 Correct 365 ms 46512 KB Output is correct
53 Correct 319 ms 43892 KB Output is correct
54 Correct 213 ms 36460 KB Output is correct
55 Correct 435 ms 51676 KB Output is correct
56 Correct 431 ms 52136 KB Output is correct
57 Correct 376 ms 50656 KB Output is correct
58 Correct 300 ms 46848 KB Output is correct
59 Correct 101 ms 19104 KB Output is correct
60 Correct 401 ms 48280 KB Output is correct
61 Correct 414 ms 46528 KB Output is correct
62 Correct 443 ms 49880 KB Output is correct
63 Correct 377 ms 47396 KB Output is correct
64 Correct 6 ms 9940 KB Output is correct
65 Correct 6 ms 10048 KB Output is correct
66 Correct 6 ms 9940 KB Output is correct
67 Correct 6 ms 9812 KB Output is correct
68 Correct 6 ms 9892 KB Output is correct
69 Correct 7 ms 10068 KB Output is correct
70 Correct 6 ms 10068 KB Output is correct
71 Correct 7 ms 10068 KB Output is correct
72 Correct 6 ms 10028 KB Output is correct
73 Correct 6 ms 9956 KB Output is correct
74 Correct 131 ms 35276 KB Output is correct
75 Correct 172 ms 42332 KB Output is correct
76 Correct 148 ms 39388 KB Output is correct
77 Correct 141 ms 38652 KB Output is correct
78 Correct 62 ms 16560 KB Output is correct
79 Correct 52 ms 15860 KB Output is correct
80 Correct 119 ms 30832 KB Output is correct
81 Correct 209 ms 44628 KB Output is correct
82 Correct 187 ms 42512 KB Output is correct
83 Correct 221 ms 48140 KB Output is correct
84 Correct 159 ms 44648 KB Output is correct
85 Correct 164 ms 41676 KB Output is correct
86 Correct 74 ms 21596 KB Output is correct
87 Correct 384 ms 48376 KB Output is correct
88 Correct 393 ms 48468 KB Output is correct
89 Correct 276 ms 43604 KB Output is correct
90 Correct 146 ms 23064 KB Output is correct
91 Correct 161 ms 25204 KB Output is correct
92 Correct 244 ms 38460 KB Output is correct
93 Correct 415 ms 52644 KB Output is correct
94 Correct 316 ms 50796 KB Output is correct
95 Correct 470 ms 55904 KB Output is correct
96 Correct 382 ms 49108 KB Output is correct
97 Correct 295 ms 48380 KB Output is correct