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Submission #975283

# Submission time Handle Problem Language Result Execution time Memory
975283 2024-05-04T16:57:30 Z MercubytheFirst Swapping Cities (APIO20_swap) C++14
100 / 100
 390 ms 55300 KB 
#include "swap.h"
#include <bits/stdc++.h>
using namespace std;
using ll = long long;
const ll inf = 1e9 + 37;
vector<vector<int> > g;

struct Edge
{
  int from, to, c;
  Edge() { }
  Edge(int u, int v, int w) : from(u), to(v), c(w) { 

  }
  bool operator<(const Edge& other) const {
    return c < other.c;
  }
};

struct Node
{
  bool is_line = true;
  array<int, 2> endpoints;
  int par, size, w;
  Node(int u) : endpoints({u, u}), par(u), size(1), w(inf) {
  
  }
};

vector<Node> dsu;
vector<Edge> edges;
int idx = -1;
int get_root(int v) { // currently slow
  return (dsu[v].par == v ? v : dsu[v].par = get_root(dsu[v].par));
}

void merge(int u, int v, int c) {
  int paru = get_root(u), parv = get_root(v);
  if(paru == parv) {
    dsu[paru].is_line = false;
    dsu[paru].w = min(dsu[paru].w, c);
    return;
  }
  if(dsu[paru].size > dsu[parv].size) {
    swap(u, v);
    swap(paru, parv);
  }
  int cur_node = dsu.size();
  dsu.emplace_back(Node(cur_node));
  if(find(dsu[paru].endpoints.begin(), dsu[paru].endpoints.end(), u) != dsu[paru].endpoints.end() and 
     find(dsu[parv].endpoints.begin(), dsu[parv].endpoints.end(), v) != dsu[parv].endpoints.end()) {
    
    dsu[cur_node].endpoints = {dsu[paru].endpoints[dsu[paru].endpoints[0] == u], dsu[parv].endpoints[dsu[parv].endpoints[0] == v]};
  }
  else {
    dsu[cur_node].endpoints = {-1, -1};
    dsu[cur_node].is_line = false;
    dsu[cur_node].w = min(dsu[cur_node].w, c);
  }
  g.emplace_back();
  g[cur_node].push_back(paru);
  g[cur_node].push_back(parv);
  dsu[paru].par = dsu[parv].par = cur_node;
  dsu[cur_node].size = dsu[paru].size + dsu[parv].size;
}

vector<vector<int> > fa;
vector<int> dep, closest_anc;
const int LOG = 20;

void depth_dfs(int v, int cur_close) {
  if(dsu[v].w != inf)
    cur_close = v;
  closest_anc[v] = cur_close;
  for(int to : g[v]) {
    dep[to] = dep[v] + 1;
    fa[to][0] = v;
    depth_dfs(to, cur_close);
  }
}

void init_lca(void) {
  int n = dsu.size();
  closest_anc.assign(n, -1);
  fa.assign(n, vector<int>(LOG, -1));
  dep.assign(n, -1);
  for(int i = 0; i < n; ++i) {
    if(dep[i] == -1) {
      int v = get_root(i);
      dep[v] = 0;
      depth_dfs(v, -1);
    }
  }
  for(int jump = 1; jump < LOG; ++jump) {
    for(int i = 0; i < n; ++i) {
      fa[i][jump] = (fa[i][jump - 1] == -1 ? -1 : fa[fa[i][jump - 1]][jump - 1]);
    }
  }
  // for(int i = 0; i < n; ++i) {
  //   cout << i << " : ";
  //   for(int j = 0; j < 3; ++j)
  //     cout << fa[i][j] << ' ';
  //   cout << endl;
  // }
}


int lca(int u, int v) {
  if(dep[u] < dep[v]) {
    swap(u, v);
  }
  int diff = dep[u] - dep[v];
  // cout << u << ' ' << v << " Diff : " << diff << endl;
  for(int jump = 0; jump < LOG; ++jump) {
    if((1 << jump) & diff)
      u = fa[u][jump];
  }
  assert(u != v);
  assert(u != -1);
  for(int jump = LOG - 1; jump >= 0; --jump) {
    if(u == -1 or v == -1) {
      // if(u == -1)
      //   cout << "u";
      // if(v == -1)
      //   cout << "v";
      // cout << endl;
      assert(false);
    }
    if(fa[u][jump] != fa[v][jump]) {
      u = fa[u][jump];
      v = fa[v][jump];
      assert(u != -1 and v != -1);
    }
  }
  assert(u != v);
  return closest_anc[fa[u][0]];
}

void init(int N, int M, std::vector<int> U, std::vector<int> V, std::vector<int> W) {
  g.assign(N, vector<int>());
  edges.assign(M, Edge());
  for(int i = 0; i < M; ++i) {
    edges[i] = {U[i], V[i], W[i]};
  }
  sort(edges.begin(), edges.end());
  for(int i = 0; i < N; ++i) {
    dsu.emplace_back(Node(i));
  }
  for(const Edge& e : edges) {
    merge(e.from, e.to, e.c);
  }
  init_lca();
}

int getMinimumFuelCapacity(int X, int Y) {
  if(get_root(X) != get_root(Y)) {
    return -1;
  }
  int anc = lca(X, Y);
  if(anc == -1) {
    return -1;
  }
  assert(dsu[anc].w != inf);
  return dsu[anc].w;
}

Subtask #1
6.0 / 6.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 348 KB Output is correct
2 Correct 0 ms 348 KB Output is correct
3 Correct 0 ms 348 KB Output is correct
4 Correct 1 ms 604 KB Output is correct
5 Correct 1 ms 604 KB Output is correct
6 Correct 1 ms 604 KB Output is correct
7 Correct 1 ms 684 KB Output is correct
8 Correct 1 ms 860 KB Output is correct
9 Correct 83 ms 35972 KB Output is correct
10 Correct 111 ms 42516 KB Output is correct
11 Correct 113 ms 41756 KB Output is correct
12 Correct 116 ms 44696 KB Output is correct
13 Correct 120 ms 46744 KB Output is correct
14 Correct 111 ms 34704 KB Output is correct
15 Correct 261 ms 47044 KB Output is correct
16 Correct 233 ms 46716 KB Output is correct
17 Correct 258 ms 48296 KB Output is correct
18 Correct 355 ms 51692 KB Output is correct
19 Correct 71 ms 12240 KB Output is correct
20 Correct 273 ms 48208 KB Output is correct
21 Correct 243 ms 46320 KB Output is correct
22 Correct 258 ms 49848 KB Output is correct
23 Correct 343 ms 52228 KB Output is correct

Subtask #2
7.0 / 7.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 348 KB Output is correct
2 Correct 0 ms 348 KB Output is correct
3 Correct 303 ms 52356 KB Output is correct
4 Correct 304 ms 54660 KB Output is correct
5 Correct 370 ms 54396 KB Output is correct
6 Correct 289 ms 55300 KB Output is correct
7 Correct 315 ms 53584 KB Output is correct
8 Correct 312 ms 52944 KB Output is correct
9 Correct 308 ms 54092 KB Output is correct
10 Correct 287 ms 51700 KB Output is correct

Subtask #3
17.0 / 17.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 348 KB Output is correct
2 Correct 0 ms 348 KB Output is correct
3 Correct 0 ms 348 KB Output is correct
4 Correct 1 ms 604 KB Output is correct
5 Correct 1 ms 604 KB Output is correct
6 Correct 1 ms 604 KB Output is correct
7 Correct 1 ms 684 KB Output is correct
8 Correct 1 ms 860 KB Output is correct
9 Correct 0 ms 348 KB Output is correct
10 Correct 1 ms 704 KB Output is correct
11 Correct 1 ms 860 KB Output is correct
12 Correct 1 ms 604 KB Output is correct
13 Correct 1 ms 604 KB Output is correct
14 Correct 1 ms 604 KB Output is correct
15 Correct 1 ms 676 KB Output is correct
16 Correct 1 ms 604 KB Output is correct
17 Correct 1 ms 860 KB Output is correct
18 Correct 1 ms 860 KB Output is correct
19 Correct 1 ms 604 KB Output is correct
20 Correct 1 ms 600 KB Output is correct
21 Correct 1 ms 604 KB Output is correct
22 Correct 1 ms 604 KB Output is correct
23 Correct 1 ms 604 KB Output is correct
24 Correct 1 ms 860 KB Output is correct
25 Correct 1 ms 860 KB Output is correct
26 Correct 1 ms 860 KB Output is correct
27 Correct 1 ms 856 KB Output is correct
28 Correct 1 ms 860 KB Output is correct

Subtask #4
20.0 / 20.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 348 KB Output is correct
2 Correct 0 ms 348 KB Output is correct
3 Correct 0 ms 348 KB Output is correct
4 Correct 0 ms 348 KB Output is correct
5 Correct 1 ms 604 KB Output is correct
6 Correct 1 ms 604 KB Output is correct
7 Correct 1 ms 604 KB Output is correct
8 Correct 1 ms 684 KB Output is correct
9 Correct 1 ms 860 KB Output is correct
10 Correct 83 ms 35972 KB Output is correct
11 Correct 111 ms 42516 KB Output is correct
12 Correct 113 ms 41756 KB Output is correct
13 Correct 116 ms 44696 KB Output is correct
14 Correct 120 ms 46744 KB Output is correct
15 Correct 1 ms 704 KB Output is correct
16 Correct 1 ms 860 KB Output is correct
17 Correct 1 ms 604 KB Output is correct
18 Correct 1 ms 604 KB Output is correct
19 Correct 1 ms 604 KB Output is correct
20 Correct 1 ms 676 KB Output is correct
21 Correct 1 ms 604 KB Output is correct
22 Correct 1 ms 860 KB Output is correct
23 Correct 1 ms 860 KB Output is correct
24 Correct 1 ms 604 KB Output is correct
25 Correct 1 ms 600 KB Output is correct
26 Correct 1 ms 604 KB Output is correct
27 Correct 1 ms 604 KB Output is correct
28 Correct 1 ms 604 KB Output is correct
29 Correct 1 ms 860 KB Output is correct
30 Correct 1 ms 860 KB Output is correct
31 Correct 1 ms 860 KB Output is correct
32 Correct 1 ms 856 KB Output is correct
33 Correct 1 ms 860 KB Output is correct
34 Correct 12 ms 6140 KB Output is correct
35 Correct 127 ms 43412 KB Output is correct
36 Correct 126 ms 44312 KB Output is correct
37 Correct 139 ms 44172 KB Output is correct
38 Correct 150 ms 43740 KB Output is correct
39 Correct 137 ms 43508 KB Output is correct
40 Correct 120 ms 40088 KB Output is correct
41 Correct 139 ms 44176 KB Output is correct
42 Correct 135 ms 43192 KB Output is correct
43 Correct 136 ms 48828 KB Output is correct
44 Correct 134 ms 43892 KB Output is correct
45 Correct 124 ms 40620 KB Output is correct
46 Correct 128 ms 43280 KB Output is correct
47 Correct 128 ms 44068 KB Output is correct
48 Correct 127 ms 45928 KB Output is correct
49 Correct 50 ms 9048 KB Output is correct
50 Correct 49 ms 9796 KB Output is correct
51 Correct 99 ms 32860 KB Output is correct
52 Correct 156 ms 48216 KB Output is correct
53 Correct 166 ms 49940 KB Output is correct
54 Correct 181 ms 50096 KB Output is correct
55 Correct 120 ms 47016 KB Output is correct
56 Correct 155 ms 50040 KB Output is correct

Subtask #5
23.0 / 23.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 348 KB Output is correct
2 Correct 0 ms 348 KB Output is correct
3 Correct 0 ms 348 KB Output is correct
4 Correct 1 ms 604 KB Output is correct
5 Correct 1 ms 604 KB Output is correct
6 Correct 1 ms 604 KB Output is correct
7 Correct 1 ms 684 KB Output is correct
8 Correct 1 ms 860 KB Output is correct
9 Correct 83 ms 35972 KB Output is correct
10 Correct 111 ms 42516 KB Output is correct
11 Correct 113 ms 41756 KB Output is correct
12 Correct 116 ms 44696 KB Output is correct
13 Correct 120 ms 46744 KB Output is correct
14 Correct 111 ms 34704 KB Output is correct
15 Correct 261 ms 47044 KB Output is correct
16 Correct 233 ms 46716 KB Output is correct
17 Correct 258 ms 48296 KB Output is correct
18 Correct 355 ms 51692 KB Output is correct
19 Correct 303 ms 52356 KB Output is correct
20 Correct 304 ms 54660 KB Output is correct
21 Correct 370 ms 54396 KB Output is correct
22 Correct 289 ms 55300 KB Output is correct
23 Correct 315 ms 53584 KB Output is correct
24 Correct 312 ms 52944 KB Output is correct
25 Correct 308 ms 54092 KB Output is correct
26 Correct 287 ms 51700 KB Output is correct
27 Correct 1 ms 704 KB Output is correct
28 Correct 1 ms 860 KB Output is correct
29 Correct 1 ms 604 KB Output is correct
30 Correct 1 ms 604 KB Output is correct
31 Correct 1 ms 604 KB Output is correct
32 Correct 1 ms 676 KB Output is correct
33 Correct 1 ms 604 KB Output is correct
34 Correct 1 ms 860 KB Output is correct
35 Correct 1 ms 860 KB Output is correct
36 Correct 12 ms 6140 KB Output is correct
37 Correct 127 ms 43412 KB Output is correct
38 Correct 126 ms 44312 KB Output is correct
39 Correct 139 ms 44172 KB Output is correct
40 Correct 150 ms 43740 KB Output is correct
41 Correct 137 ms 43508 KB Output is correct
42 Correct 120 ms 40088 KB Output is correct
43 Correct 139 ms 44176 KB Output is correct
44 Correct 135 ms 43192 KB Output is correct
45 Correct 136 ms 48828 KB Output is correct
46 Correct 134 ms 43892 KB Output is correct
47 Correct 19 ms 6124 KB Output is correct
48 Correct 323 ms 49456 KB Output is correct
49 Correct 287 ms 48532 KB Output is correct
50 Correct 293 ms 48960 KB Output is correct
51 Correct 292 ms 48380 KB Output is correct
52 Correct 281 ms 46200 KB Output is correct
53 Correct 215 ms 35696 KB Output is correct
54 Correct 271 ms 49000 KB Output is correct
55 Correct 265 ms 48128 KB Output is correct
56 Correct 390 ms 52432 KB Output is correct
57 Correct 302 ms 49292 KB Output is correct

Subtask #6
27.0 / 27.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 348 KB Output is correct
2 Correct 0 ms 348 KB Output is correct
3 Correct 0 ms 348 KB Output is correct
4 Correct 0 ms 348 KB Output is correct
5 Correct 1 ms 604 KB Output is correct
6 Correct 1 ms 604 KB Output is correct
7 Correct 1 ms 604 KB Output is correct
8 Correct 1 ms 684 KB Output is correct
9 Correct 1 ms 860 KB Output is correct
10 Correct 83 ms 35972 KB Output is correct
11 Correct 111 ms 42516 KB Output is correct
12 Correct 113 ms 41756 KB Output is correct
13 Correct 116 ms 44696 KB Output is correct
14 Correct 120 ms 46744 KB Output is correct
15 Correct 111 ms 34704 KB Output is correct
16 Correct 261 ms 47044 KB Output is correct
17 Correct 233 ms 46716 KB Output is correct
18 Correct 258 ms 48296 KB Output is correct
19 Correct 355 ms 51692 KB Output is correct
20 Correct 303 ms 52356 KB Output is correct
21 Correct 304 ms 54660 KB Output is correct
22 Correct 370 ms 54396 KB Output is correct
23 Correct 289 ms 55300 KB Output is correct
24 Correct 315 ms 53584 KB Output is correct
25 Correct 312 ms 52944 KB Output is correct
26 Correct 308 ms 54092 KB Output is correct
27 Correct 287 ms 51700 KB Output is correct
28 Correct 1 ms 704 KB Output is correct
29 Correct 1 ms 860 KB Output is correct
30 Correct 1 ms 604 KB Output is correct
31 Correct 1 ms 604 KB Output is correct
32 Correct 1 ms 604 KB Output is correct
33 Correct 1 ms 676 KB Output is correct
34 Correct 1 ms 604 KB Output is correct
35 Correct 1 ms 860 KB Output is correct
36 Correct 1 ms 860 KB Output is correct
37 Correct 12 ms 6140 KB Output is correct
38 Correct 127 ms 43412 KB Output is correct
39 Correct 126 ms 44312 KB Output is correct
40 Correct 139 ms 44172 KB Output is correct
41 Correct 150 ms 43740 KB Output is correct
42 Correct 137 ms 43508 KB Output is correct
43 Correct 120 ms 40088 KB Output is correct
44 Correct 139 ms 44176 KB Output is correct
45 Correct 135 ms 43192 KB Output is correct
46 Correct 136 ms 48828 KB Output is correct
47 Correct 134 ms 43892 KB Output is correct
48 Correct 19 ms 6124 KB Output is correct
49 Correct 323 ms 49456 KB Output is correct
50 Correct 287 ms 48532 KB Output is correct
51 Correct 293 ms 48960 KB Output is correct
52 Correct 292 ms 48380 KB Output is correct
53 Correct 281 ms 46200 KB Output is correct
54 Correct 215 ms 35696 KB Output is correct
55 Correct 271 ms 49000 KB Output is correct
56 Correct 265 ms 48128 KB Output is correct
57 Correct 390 ms 52432 KB Output is correct
58 Correct 302 ms 49292 KB Output is correct
59 Correct 71 ms 12240 KB Output is correct
60 Correct 273 ms 48208 KB Output is correct
61 Correct 243 ms 46320 KB Output is correct
62 Correct 258 ms 49848 KB Output is correct
63 Correct 343 ms 52228 KB Output is correct
64 Correct 1 ms 604 KB Output is correct
65 Correct 1 ms 600 KB Output is correct
66 Correct 1 ms 604 KB Output is correct
67 Correct 1 ms 604 KB Output is correct
68 Correct 1 ms 604 KB Output is correct
69 Correct 1 ms 860 KB Output is correct
70 Correct 1 ms 860 KB Output is correct
71 Correct 1 ms 860 KB Output is correct
72 Correct 1 ms 856 KB Output is correct
73 Correct 1 ms 860 KB Output is correct
74 Correct 124 ms 40620 KB Output is correct
75 Correct 128 ms 43280 KB Output is correct
76 Correct 128 ms 44068 KB Output is correct
77 Correct 127 ms 45928 KB Output is correct
78 Correct 50 ms 9048 KB Output is correct
79 Correct 49 ms 9796 KB Output is correct
80 Correct 99 ms 32860 KB Output is correct
81 Correct 156 ms 48216 KB Output is correct
82 Correct 166 ms 49940 KB Output is correct
83 Correct 181 ms 50096 KB Output is correct
84 Correct 120 ms 47016 KB Output is correct
85 Correct 155 ms 50040 KB Output is correct
86 Correct 61 ms 16416 KB Output is correct
87 Correct 292 ms 49524 KB Output is correct
88 Correct 317 ms 49172 KB Output is correct
89 Correct 298 ms 47180 KB Output is correct
90 Correct 119 ms 13632 KB Output is correct
91 Correct 135 ms 17384 KB Output is correct
92 Correct 232 ms 37708 KB Output is correct
93 Correct 305 ms 52128 KB Output is correct
94 Correct 330 ms 53024 KB Output is correct
95 Correct 313 ms 54024 KB Output is correct
96 Correct 359 ms 51564 KB Output is correct
97 Correct 372 ms 53404 KB Output is correct