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Submission #893499

# Submission time Handle Problem Language Result Execution time Memory
893499 2023-12-27T05:54:32 Z KaleemRazaSyed Split the Attractions (IOI19_split) C++17
100 / 100
 85 ms 31048 KB 
#include<bits/stdc++.h>

using namespace std;

const int N = 1e5+5;
vector<int> G[N];
vector<int> ans;
int colors[] = {1, 2, 3}, sz[N], n, h[N], minh[N], cnt[3];
bool seen[N], colored;

void dfs0(int v)
{
  if(cnt[0] == 0 || ans[v] != 0)
    return;
  //cerr << "dfs0 : " << v << ' ' << colors[0] << endl;
  cnt[0]--;
  ans[v] = colors[0];
  for(int u : G[v])
    if(cnt[0] > 0 && h[u] > h[v])
      dfs0(u);
}
void dfs1(int v)
{
  //cerr << "dfs1 : " << v << ' ' << colors[1] << endl;
  cnt[1]--;
  ans[v] = colors[1];
  for(int u : G[v])
    if(cnt[1] > 0 and ans[u] == 0)
      dfs1(u);
}

void dfs(int v, int p = N)
{
  seen[v] = true;
  sz[v] = 1;
  h[v] = h[p] + 1;
  minh[v] = h[v];
  bool t = false;
  vector<int> children;
  for(int u : G[v])
    if(!seen[u])
      {
	children.push_back(u);
	dfs(u, v);
	t |= (sz[u] >= cnt[0]);
	sz[v] += sz[u];
	minh[v] = min(minh[u], minh[v]);
      }
    else
      minh[v] = min(minh[v], h[u]);
      

  if(!t && sz[v] >= cnt[0] && !colored){
    // forced size
    int fsize = 0;
    vector<int> back;
    for(int c : children)
      if(minh[c] >= h[v])
	fsize += sz[c];
      else
	back.push_back(c);
    fsize++; // v itself
    while(fsize < cnt[0] && back.size())
      {
	fsize += sz[back.back()];
	back.pop_back();
      }

    if(fsize >= cnt[1] and n - fsize >= cnt[0])
      swap(cnt[1], cnt[0]), swap(colors[0], colors[1]);

    if(fsize >= cnt[0] and n - fsize >= cnt[1]){
      ans[v] = colors[0];
      cnt[0]--;
      colored = true;
      int p = 0;
      for(int u : children)
	{
	  if(p < back.size() and back[p] == u){
	    p++;
	    continue;
	  }
	  dfs0(u);
	}
      
    }
    
  }
  
}

vector<int> find_split(int n, int a, int b, int c, vector<int> p, vector<int> q)
{
  ::n = n;
  for(int i = 0; i < q.size(); i++)
    {
      G[q[i]].push_back(p[i]);
      G[p[i]].push_back(q[i]);
    }

  if(a > b)
    swap(a, b), swap(colors[0], colors[1]);
  if(b > c)
    swap(b, c), swap(colors[1], colors[2]);
  if(a > b)
    swap(a, b), swap(colors[0], colors[1]);

  cnt[0] = a, cnt[1] = b, cnt[2] = c;
  for(int j = 0; j < 1; j++)
    {
      ans = vector<int> (n, 0);
      dfs(j);
      
      if(colored)
	for(int i : ans)
	  if(i == 0)
	    {
	      dfs1(i);
	      break;
	    }
      if(colored)
	for(int &i : ans)
	  if(i == 0) i = colors[2];
      if(colored) break;
    }
  return ans;
}

Compilation message

split.cpp: In function 'void dfs(int, int)':
split.cpp:79:9: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
   79 |    if(p < back.size() and back[p] == u){
      |       ~~^~~~~~~~~~~~~
split.cpp: In function 'std::vector<int> find_split(int, int, int, int, std::vector<int>, std::vector<int>)':
split.cpp:95:20: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
   95 |   for(int i = 0; i < q.size(); i++)
      |                  ~~^~~~~~~~~~

Subtask #1
7.0 / 7.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 3676 KB ok, correct split
2 Correct 1 ms 3676 KB ok, correct split
3 Correct 1 ms 3676 KB ok, correct split
4 Correct 1 ms 3676 KB ok, correct split
5 Correct 1 ms 3676 KB ok, correct split
6 Correct 2 ms 3676 KB ok, correct split
7 Correct 82 ms 29980 KB ok, correct split
8 Correct 60 ms 23632 KB ok, correct split
9 Correct 62 ms 21592 KB ok, correct split
10 Correct 82 ms 31048 KB ok, correct split
11 Correct 77 ms 31040 KB ok, correct split

Subtask #2
11.0 / 11.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 3672 KB ok, correct split
2 Correct 1 ms 3676 KB ok, correct split
3 Correct 1 ms 3676 KB ok, correct split
4 Correct 77 ms 20052 KB ok, correct split
5 Correct 49 ms 9556 KB ok, correct split
6 Correct 62 ms 30940 KB ok, correct split
7 Correct 64 ms 22984 KB ok, correct split
8 Correct 68 ms 11780 KB ok, correct split
9 Correct 44 ms 9560 KB ok, correct split
10 Correct 36 ms 10432 KB ok, correct split
11 Correct 35 ms 10196 KB ok, correct split
12 Correct 38 ms 10188 KB ok, correct split

Subtask #3
22.0 / 22.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 3676 KB ok, correct split
2 Correct 43 ms 9432 KB ok, correct split
3 Correct 16 ms 6236 KB ok, correct split
4 Correct 1 ms 3676 KB ok, correct split
5 Correct 57 ms 16472 KB ok, correct split
6 Correct 58 ms 15696 KB ok, correct split
7 Correct 60 ms 15232 KB ok, correct split
8 Correct 83 ms 18772 KB ok, correct split
9 Correct 78 ms 14700 KB ok, correct split
10 Correct 14 ms 5724 KB ok, no valid answer
11 Correct 30 ms 6732 KB ok, no valid answer
12 Correct 44 ms 9936 KB ok, no valid answer
13 Correct 45 ms 9556 KB ok, no valid answer
14 Correct 53 ms 10184 KB ok, no valid answer

Subtask #4
24.0 / 24.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 3928 KB ok, correct split
2 Correct 2 ms 3676 KB ok, no valid answer
3 Correct 1 ms 3676 KB ok, correct split
4 Correct 2 ms 3676 KB ok, correct split
5 Correct 1 ms 3676 KB ok, correct split
6 Correct 1 ms 3768 KB ok, correct split
7 Correct 1 ms 3676 KB ok, correct split
8 Correct 1 ms 3676 KB ok, correct split
9 Correct 2 ms 4188 KB ok, correct split
10 Correct 2 ms 3932 KB ok, correct split
11 Correct 2 ms 3672 KB ok, correct split
12 Correct 3 ms 3932 KB ok, correct split
13 Correct 1 ms 3676 KB ok, correct split
14 Correct 1 ms 3676 KB ok, correct split
15 Correct 2 ms 3676 KB ok, correct split
16 Correct 2 ms 3672 KB ok, correct split
17 Correct 1 ms 3676 KB ok, correct split
18 Correct 2 ms 3676 KB ok, correct split
19 Correct 2 ms 3932 KB ok, correct split
20 Correct 2 ms 3932 KB ok, correct split
21 Correct 2 ms 4184 KB ok, correct split
22 Correct 2 ms 3932 KB ok, correct split
23 Correct 2 ms 4188 KB ok, correct split
24 Correct 2 ms 4188 KB ok, correct split
25 Correct 3 ms 4188 KB ok, correct split
26 Correct 2 ms 3932 KB ok, correct split
27 Correct 3 ms 3932 KB ok, correct split
28 Correct 3 ms 3932 KB ok, correct split
29 Correct 1 ms 3676 KB ok, correct split
30 Correct 2 ms 3932 KB ok, correct split
31 Correct 2 ms 3932 KB ok, correct split
32 Correct 1 ms 3676 KB ok, correct split
33 Correct 1 ms 3676 KB ok, correct split
34 Correct 2 ms 3932 KB ok, correct split
35 Correct 2 ms 3932 KB ok, correct split
36 Correct 2 ms 3932 KB ok, correct split
37 Correct 3 ms 3932 KB ok, correct split
38 Correct 3 ms 3932 KB ok, correct split
39 Correct 3 ms 3932 KB ok, correct split
40 Correct 2 ms 3932 KB ok, correct split
41 Correct 2 ms 3932 KB ok, correct split
42 Correct 2 ms 3932 KB ok, correct split
43 Correct 2 ms 3932 KB ok, correct split
44 Correct 3 ms 3932 KB ok, correct split
45 Correct 4 ms 3932 KB ok, correct split
46 Correct 2 ms 4188 KB ok, correct split
47 Correct 3 ms 4188 KB ok, no valid answer
48 Correct 2 ms 3932 KB ok, correct split
49 Correct 2 ms 4188 KB ok, correct split
50 Correct 1 ms 3676 KB ok, no valid answer
51 Correct 1 ms 3676 KB ok, no valid answer
52 Correct 2 ms 3932 KB ok, no valid answer
53 Correct 2 ms 3932 KB ok, no valid answer
54 Correct 2 ms 3932 KB ok, no valid answer
55 Correct 2 ms 3932 KB ok, no valid answer
56 Correct 2 ms 3928 KB ok, no valid answer

Subtask #5
36.0 / 36.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 3676 KB ok, correct split
2 Correct 1 ms 3676 KB ok, correct split
3 Correct 1 ms 3676 KB ok, correct split
4 Correct 1 ms 3676 KB ok, correct split
5 Correct 1 ms 3676 KB ok, correct split
6 Correct 2 ms 3676 KB ok, correct split
7 Correct 82 ms 29980 KB ok, correct split
8 Correct 60 ms 23632 KB ok, correct split
9 Correct 62 ms 21592 KB ok, correct split
10 Correct 82 ms 31048 KB ok, correct split
11 Correct 77 ms 31040 KB ok, correct split
12 Correct 2 ms 3672 KB ok, correct split
13 Correct 1 ms 3676 KB ok, correct split
14 Correct 1 ms 3676 KB ok, correct split
15 Correct 77 ms 20052 KB ok, correct split
16 Correct 49 ms 9556 KB ok, correct split
17 Correct 62 ms 30940 KB ok, correct split
18 Correct 64 ms 22984 KB ok, correct split
19 Correct 68 ms 11780 KB ok, correct split
20 Correct 44 ms 9560 KB ok, correct split
21 Correct 36 ms 10432 KB ok, correct split
22 Correct 35 ms 10196 KB ok, correct split
23 Correct 38 ms 10188 KB ok, correct split
24 Correct 1 ms 3676 KB ok, correct split
25 Correct 43 ms 9432 KB ok, correct split
26 Correct 16 ms 6236 KB ok, correct split
27 Correct 1 ms 3676 KB ok, correct split
28 Correct 57 ms 16472 KB ok, correct split
29 Correct 58 ms 15696 KB ok, correct split
30 Correct 60 ms 15232 KB ok, correct split
31 Correct 83 ms 18772 KB ok, correct split
32 Correct 78 ms 14700 KB ok, correct split
33 Correct 14 ms 5724 KB ok, no valid answer
34 Correct 30 ms 6732 KB ok, no valid answer
35 Correct 44 ms 9936 KB ok, no valid answer
36 Correct 45 ms 9556 KB ok, no valid answer
37 Correct 53 ms 10184 KB ok, no valid answer
38 Correct 1 ms 3928 KB ok, correct split
39 Correct 2 ms 3676 KB ok, no valid answer
40 Correct 1 ms 3676 KB ok, correct split
41 Correct 2 ms 3676 KB ok, correct split
42 Correct 1 ms 3676 KB ok, correct split
43 Correct 1 ms 3768 KB ok, correct split
44 Correct 1 ms 3676 KB ok, correct split
45 Correct 1 ms 3676 KB ok, correct split
46 Correct 2 ms 4188 KB ok, correct split
47 Correct 2 ms 3932 KB ok, correct split
48 Correct 2 ms 3672 KB ok, correct split
49 Correct 3 ms 3932 KB ok, correct split
50 Correct 1 ms 3676 KB ok, correct split
51 Correct 1 ms 3676 KB ok, correct split
52 Correct 2 ms 3676 KB ok, correct split
53 Correct 2 ms 3672 KB ok, correct split
54 Correct 1 ms 3676 KB ok, correct split
55 Correct 2 ms 3676 KB ok, correct split
56 Correct 2 ms 3932 KB ok, correct split
57 Correct 2 ms 3932 KB ok, correct split
58 Correct 2 ms 4184 KB ok, correct split
59 Correct 2 ms 3932 KB ok, correct split
60 Correct 2 ms 4188 KB ok, correct split
61 Correct 2 ms 4188 KB ok, correct split
62 Correct 3 ms 4188 KB ok, correct split
63 Correct 2 ms 3932 KB ok, correct split
64 Correct 3 ms 3932 KB ok, correct split
65 Correct 3 ms 3932 KB ok, correct split
66 Correct 1 ms 3676 KB ok, correct split
67 Correct 2 ms 3932 KB ok, correct split
68 Correct 2 ms 3932 KB ok, correct split
69 Correct 1 ms 3676 KB ok, correct split
70 Correct 1 ms 3676 KB ok, correct split
71 Correct 2 ms 3932 KB ok, correct split
72 Correct 2 ms 3932 KB ok, correct split
73 Correct 2 ms 3932 KB ok, correct split
74 Correct 3 ms 3932 KB ok, correct split
75 Correct 3 ms 3932 KB ok, correct split
76 Correct 3 ms 3932 KB ok, correct split
77 Correct 2 ms 3932 KB ok, correct split
78 Correct 2 ms 3932 KB ok, correct split
79 Correct 2 ms 3932 KB ok, correct split
80 Correct 2 ms 3932 KB ok, correct split
81 Correct 3 ms 3932 KB ok, correct split
82 Correct 4 ms 3932 KB ok, correct split
83 Correct 2 ms 4188 KB ok, correct split
84 Correct 3 ms 4188 KB ok, no valid answer
85 Correct 2 ms 3932 KB ok, correct split
86 Correct 2 ms 4188 KB ok, correct split
87 Correct 1 ms 3676 KB ok, no valid answer
88 Correct 1 ms 3676 KB ok, no valid answer
89 Correct 2 ms 3932 KB ok, no valid answer
90 Correct 2 ms 3932 KB ok, no valid answer
91 Correct 2 ms 3932 KB ok, no valid answer
92 Correct 2 ms 3932 KB ok, no valid answer
93 Correct 2 ms 3928 KB ok, no valid answer
94 Correct 56 ms 15828 KB ok, correct split
95 Correct 84 ms 24656 KB ok, correct split
96 Correct 85 ms 21844 KB ok, correct split
97 Correct 17 ms 6232 KB ok, correct split
98 Correct 17 ms 6236 KB ok, correct split
99 Correct 30 ms 9812 KB ok, correct split
100 Correct 71 ms 12684 KB ok, correct split
101 Correct 61 ms 12120 KB ok, correct split
102 Correct 56 ms 11208 KB ok, correct split
103 Correct 52 ms 10928 KB ok, correct split
104 Correct 57 ms 11964 KB ok, correct split
105 Correct 28 ms 7480 KB ok, correct split
106 Correct 55 ms 12480 KB ok, correct split
107 Correct 45 ms 9556 KB ok, correct split
108 Correct 42 ms 9556 KB ok, correct split
109 Correct 66 ms 11880 KB ok, correct split
110 Correct 77 ms 11624 KB ok, correct split
111 Correct 69 ms 11628 KB ok, correct split
112 Correct 63 ms 11600 KB ok, correct split
113 Correct 63 ms 11720 KB ok, correct split
114 Correct 9 ms 5476 KB ok, correct split
115 Correct 7 ms 4956 KB ok, correct split
116 Correct 71 ms 11440 KB ok, correct split
117 Correct 60 ms 11420 KB ok, correct split
118 Correct 44 ms 9648 KB ok, correct split
119 Correct 43 ms 9792 KB ok, correct split
120 Correct 65 ms 20564 KB ok, correct split
121 Correct 41 ms 9564 KB ok, no valid answer
122 Correct 38 ms 9728 KB ok, no valid answer
123 Correct 67 ms 13136 KB ok, no valid answer
124 Correct 66 ms 12816 KB ok, no valid answer
125 Correct 45 ms 10700 KB ok, no valid answer
126 Correct 29 ms 9684 KB ok, no valid answer
127 Correct 48 ms 10696 KB ok, no valid answer