답안 #893496

# 제출 시각 아이디 문제 언어 결과 실행 시간 메모리
893496 2023-12-27T05:52:59 Z KaleemRazaSyed Split the Attractions (IOI19_split) C++17
100 / 100
99 ms 31068 KB
#include<bits/stdc++.h>

using namespace std;
#define vec vector<int>

const int N = 1e5+5;
vec G[N];
vec 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;
  vec 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;
    vec 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);
	}
      
    }
    
  }
  
}

vec find_split(int n, int a, int b, int c, vec p, vec 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 = vec(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;
}
/*
int main() {
  int n, m, a, b, c;
  assert(5 == scanf("%d %d %d %d %d", &n, &m, &a, &b, &c));
  vector<int> p(m), q(m);
  for (int i=0; i<m; i++)
    assert(2 == scanf("%d %d", &p[i], &q[i]));
  
  vector<int> result = find_split(n, a, b, c, p, q);
  
  for (int i=0; i<(int)result.size(); i++)
    printf("%d ", result[i]);
  printf("\n");
  return 0;
}
// */

Compilation message

split.cpp: In function 'void dfs(int, int)':
split.cpp:80:9: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
   80 |    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:96:20: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
   96 |   for(int i = 0; i < q.size(); i++)
      |                  ~~^~~~~~~~~~
# 결과 실행 시간 메모리 Grader output
1 Correct 1 ms 3676 KB ok, correct split
2 Correct 1 ms 3676 KB ok, correct split
3 Correct 2 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 1 ms 3676 KB ok, correct split
7 Correct 92 ms 29780 KB ok, correct split
8 Correct 60 ms 23636 KB ok, correct split
9 Correct 76 ms 21584 KB ok, correct split
10 Correct 93 ms 31020 KB ok, correct split
11 Correct 78 ms 31068 KB ok, correct split
# 결과 실행 시간 메모리 Grader output
1 Correct 1 ms 3676 KB ok, correct split
2 Correct 1 ms 3672 KB ok, correct split
3 Correct 1 ms 3676 KB ok, correct split
4 Correct 74 ms 20188 KB ok, correct split
5 Correct 49 ms 9536 KB ok, correct split
6 Correct 74 ms 31064 KB ok, correct split
7 Correct 70 ms 23116 KB ok, correct split
8 Correct 82 ms 11788 KB ok, correct split
9 Correct 50 ms 9584 KB ok, correct split
10 Correct 36 ms 10184 KB ok, correct split
11 Correct 39 ms 10184 KB ok, correct split
12 Correct 42 ms 10164 KB ok, correct split
# 결과 실행 시간 메모리 Grader output
1 Correct 1 ms 3672 KB ok, correct split
2 Correct 45 ms 9488 KB ok, correct split
3 Correct 16 ms 6232 KB ok, correct split
4 Correct 1 ms 3672 KB ok, correct split
5 Correct 71 ms 16348 KB ok, correct split
6 Correct 65 ms 15564 KB ok, correct split
7 Correct 77 ms 15184 KB ok, correct split
8 Correct 65 ms 18916 KB ok, correct split
9 Correct 59 ms 14756 KB ok, correct split
10 Correct 15 ms 5724 KB ok, no valid answer
11 Correct 23 ms 6656 KB ok, no valid answer
12 Correct 42 ms 9924 KB ok, no valid answer
13 Correct 56 ms 9716 KB ok, no valid answer
14 Correct 43 ms 10196 KB ok, no valid answer
# 결과 실행 시간 메모리 Grader output
1 Correct 1 ms 3676 KB ok, correct split
2 Correct 1 ms 3676 KB ok, no valid answer
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 1 ms 3676 KB ok, correct split
7 Correct 1 ms 3676 KB ok, correct split
8 Correct 2 ms 3844 KB ok, correct split
9 Correct 3 ms 4188 KB ok, correct split
10 Correct 3 ms 3928 KB ok, correct split
11 Correct 2 ms 3676 KB ok, correct split
12 Correct 3 ms 3932 KB ok, correct split
13 Correct 1 ms 3676 KB ok, correct split
14 Correct 2 ms 3676 KB ok, correct split
15 Correct 2 ms 3676 KB ok, correct split
16 Correct 2 ms 3676 KB ok, correct split
17 Correct 1 ms 3676 KB ok, correct split
18 Correct 1 ms 3676 KB ok, correct split
19 Correct 1 ms 3932 KB ok, correct split
20 Correct 2 ms 3932 KB ok, correct split
21 Correct 2 ms 4188 KB ok, correct split
22 Correct 2 ms 3932 KB ok, correct split
23 Correct 2 ms 4188 KB ok, correct split
24 Correct 3 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 2 ms 3932 KB ok, correct split
28 Correct 2 ms 3932 KB ok, correct split
29 Correct 1 ms 3676 KB ok, correct split
30 Correct 3 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 3 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 3 ms 3928 KB ok, correct split
44 Correct 3 ms 3932 KB ok, correct split
45 Correct 3 ms 3928 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 3 ms 3884 KB ok, correct split
49 Correct 2 ms 4340 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 3 ms 3932 KB ok, no valid answer
54 Correct 3 ms 3932 KB ok, no valid answer
55 Correct 3 ms 3932 KB ok, no valid answer
56 Correct 3 ms 3932 KB ok, no valid answer
# 결과 실행 시간 메모리 Grader output
1 Correct 1 ms 3676 KB ok, correct split
2 Correct 1 ms 3676 KB ok, correct split
3 Correct 2 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 1 ms 3676 KB ok, correct split
7 Correct 92 ms 29780 KB ok, correct split
8 Correct 60 ms 23636 KB ok, correct split
9 Correct 76 ms 21584 KB ok, correct split
10 Correct 93 ms 31020 KB ok, correct split
11 Correct 78 ms 31068 KB ok, correct split
12 Correct 1 ms 3676 KB ok, correct split
13 Correct 1 ms 3672 KB ok, correct split
14 Correct 1 ms 3676 KB ok, correct split
15 Correct 74 ms 20188 KB ok, correct split
16 Correct 49 ms 9536 KB ok, correct split
17 Correct 74 ms 31064 KB ok, correct split
18 Correct 70 ms 23116 KB ok, correct split
19 Correct 82 ms 11788 KB ok, correct split
20 Correct 50 ms 9584 KB ok, correct split
21 Correct 36 ms 10184 KB ok, correct split
22 Correct 39 ms 10184 KB ok, correct split
23 Correct 42 ms 10164 KB ok, correct split
24 Correct 1 ms 3672 KB ok, correct split
25 Correct 45 ms 9488 KB ok, correct split
26 Correct 16 ms 6232 KB ok, correct split
27 Correct 1 ms 3672 KB ok, correct split
28 Correct 71 ms 16348 KB ok, correct split
29 Correct 65 ms 15564 KB ok, correct split
30 Correct 77 ms 15184 KB ok, correct split
31 Correct 65 ms 18916 KB ok, correct split
32 Correct 59 ms 14756 KB ok, correct split
33 Correct 15 ms 5724 KB ok, no valid answer
34 Correct 23 ms 6656 KB ok, no valid answer
35 Correct 42 ms 9924 KB ok, no valid answer
36 Correct 56 ms 9716 KB ok, no valid answer
37 Correct 43 ms 10196 KB ok, no valid answer
38 Correct 1 ms 3676 KB ok, correct split
39 Correct 1 ms 3676 KB ok, no valid answer
40 Correct 1 ms 3676 KB ok, correct split
41 Correct 1 ms 3676 KB ok, correct split
42 Correct 1 ms 3676 KB ok, correct split
43 Correct 1 ms 3676 KB ok, correct split
44 Correct 1 ms 3676 KB ok, correct split
45 Correct 2 ms 3844 KB ok, correct split
46 Correct 3 ms 4188 KB ok, correct split
47 Correct 3 ms 3928 KB ok, correct split
48 Correct 2 ms 3676 KB ok, correct split
49 Correct 3 ms 3932 KB ok, correct split
50 Correct 1 ms 3676 KB ok, correct split
51 Correct 2 ms 3676 KB ok, correct split
52 Correct 2 ms 3676 KB ok, correct split
53 Correct 2 ms 3676 KB ok, correct split
54 Correct 1 ms 3676 KB ok, correct split
55 Correct 1 ms 3676 KB ok, correct split
56 Correct 1 ms 3932 KB ok, correct split
57 Correct 2 ms 3932 KB ok, correct split
58 Correct 2 ms 4188 KB ok, correct split
59 Correct 2 ms 3932 KB ok, correct split
60 Correct 2 ms 4188 KB ok, correct split
61 Correct 3 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 2 ms 3932 KB ok, correct split
65 Correct 2 ms 3932 KB ok, correct split
66 Correct 1 ms 3676 KB ok, correct split
67 Correct 3 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 3 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 3 ms 3928 KB ok, correct split
81 Correct 3 ms 3932 KB ok, correct split
82 Correct 3 ms 3928 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 3 ms 3884 KB ok, correct split
86 Correct 2 ms 4340 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 3 ms 3932 KB ok, no valid answer
91 Correct 3 ms 3932 KB ok, no valid answer
92 Correct 3 ms 3932 KB ok, no valid answer
93 Correct 3 ms 3932 KB ok, no valid answer
94 Correct 80 ms 15700 KB ok, correct split
95 Correct 99 ms 24660 KB ok, correct split
96 Correct 93 ms 21880 KB ok, correct split
97 Correct 18 ms 6236 KB ok, correct split
98 Correct 18 ms 6236 KB ok, correct split
99 Correct 34 ms 9820 KB ok, correct split
100 Correct 92 ms 12628 KB ok, correct split
101 Correct 65 ms 11976 KB ok, correct split
102 Correct 64 ms 11236 KB ok, correct split
103 Correct 60 ms 10920 KB ok, correct split
104 Correct 59 ms 11964 KB ok, correct split
105 Correct 29 ms 7624 KB ok, correct split
106 Correct 65 ms 12484 KB ok, correct split
107 Correct 53 ms 9504 KB ok, correct split
108 Correct 56 ms 9508 KB ok, correct split
109 Correct 82 ms 11752 KB ok, correct split
110 Correct 72 ms 11408 KB ok, correct split
111 Correct 84 ms 11716 KB ok, correct split
112 Correct 72 ms 11776 KB ok, correct split
113 Correct 79 ms 11776 KB ok, correct split
114 Correct 8 ms 5468 KB ok, correct split
115 Correct 7 ms 4968 KB ok, correct split
116 Correct 68 ms 11464 KB ok, correct split
117 Correct 68 ms 11464 KB ok, correct split
118 Correct 59 ms 9756 KB ok, correct split
119 Correct 49 ms 9536 KB ok, correct split
120 Correct 66 ms 20560 KB ok, correct split
121 Correct 55 ms 9392 KB ok, no valid answer
122 Correct 44 ms 9740 KB ok, no valid answer
123 Correct 75 ms 13140 KB ok, no valid answer
124 Correct 91 ms 12880 KB ok, no valid answer
125 Correct 57 ms 10576 KB ok, no valid answer
126 Correct 33 ms 9680 KB ok, no valid answer
127 Correct 54 ms 10748 KB ok, no valid answer