oj.uz

Submission #1092772

# Submission time Handle Problem Language Result Execution time Memory
1092772 2024-09-25T03:23:43 Z vjudge1 Team Coding (EGOI24_teamcoding) C++17
100 / 100
 239 ms 30536 KB 
#include<bits/stdc++.h>

using namespace std;
using pir = pair<int, int>;

const int K = 1320;
const int inf = 1316;
const int N = 1e5 + 5;

pir ans;
vector<pir> s[N];
vector<int> joke, g[N], c[N];
int n, k, id, dd[N], l[N], r[N], ccme[N], sum[N], col[N], dep[N], dfn[N], cnt[N], siz[N];

pir getmx(pir a, pir b){
  if(a.first > b.first) return a;
  else if(a.first < b.first) return b;
  else if(a.second < b.second) return a;
  return b;
}

void dfs(int x, int fa){
  dep[x] = dep[fa] + 1;
  dfn[x] = ++id;
  c[col[x]].push_back(x);
  for(int v : g[x]){
    if(v != fa){
      dfs(v, x);
    }
  }
}

void DFS(int x, int fa, int op){
  cnt[dep[x]] += (col[x] == op);
  siz[x] += (col[x] == op);
  for(int v : g[x]){
    if(v != fa){
      DFS(v, x, op);
      siz[x] += siz[v];
    }
  }
}

void DDFS(int x, int fa, int op){
  s[x].clear();
  int maxx = -1, h = 0;
  for(int v : g[x]){
    if(v != fa){
      DDFS(v, x, op);
      if(r[v] > maxx){
        maxx = r[v], h = v;
      }
    }
  }
  if(h) swap(s[x], s[h]), swap(l[x], l[h]), swap(r[x], r[h]), swap(sum[x], sum[h]);
  s[x].push_back({dep[x], 1});
  sum[x] += min(cnt[dep[x]], 1);
  l[x] = dep[x], r[x] = max(r[x], dep[x]);
  for(int v : g[x]){
    if(v != fa && v != h){
      for(pir num : s[v]){
        int now = s[x].size() - 1 - (num.first - dep[x]);
        int tmp = min(cnt[num.first], s[x][now].second);
        s[x][now].second += num.second;
        sum[x] += min(cnt[num.first], s[x][now].second) - tmp;
      }
    }
  }
  if(col[x] == op) ans = getmx(ans, {sum[x], sum[x] - siz[x]});
}

void DDDFS(int x, int fa){
  s[x].clear();
  siz[x] = 1;
  int maxx = -1, h = 0;
  for(int v : g[x]){
    if(v != fa){
      DDDFS(v, x);
      siz[x] += siz[v];
      if(r[v] > maxx){
        maxx = r[v], h = v;
      }
    }
  }
  if(h) swap(s[x], s[h]), swap(l[x], l[h]), swap(r[x], r[h]);
  s[x].push_back({dep[x], 1});
  l[x] = dep[x], r[x] = max(r[x], dep[x]);
  for(int v : g[x]){
    if(v != fa && v != h){
      for(pir num : s[v]){
        int now = s[x].size() - 1 - (num.first - dep[x]);
        int tmp = min(cnt[num.first], s[x][now].second);
        s[x][now].second += num.second;
      }
    }
  }
  if(ccme[col[x]] < inf){
    int jian = 0;
    int sum = 0;
    for(int v : c[col[x]]) dd[dep[v]] = 0;
    for(int v : c[col[x]]){
      if(dfn[v] >= dfn[x] && dfn[v] <= dfn[x] + siz[x] - 1){
        jian++;
      }
      dd[dep[v]]++;
    }
    for(int v : c[col[x]]){
      if(dd[dep[v]] && dep[v] >= l[x] && dep[v] <= r[x]){
        int now = s[x].size() - 1 - (dep[v] - l[x]);
        sum += min(dd[dep[v]], s[x][now].second);
        dd[dep[v]] = 0;
      }
    }
    ans = getmx(ans, {sum, sum - jian});
  }
}

int main(){
  ios::sync_with_stdio(0), cin.tie(0);
  cin >> n >> k;
  for(int i = 1; i <= n; i++){
    cin >> col[i];
    ccme[col[i]]++;
  }
  for(int i = 2, f; i <= n; i++){
    cin >> f;
    g[++f].push_back(i);
  }
  for(int i = 0; i <= k; i++){
    if(ccme[i] >= inf){
      joke.push_back(i);
    }
  }
  ans.first = -1;
  dfs(1, 0);
  for(int i = 1; i <= n; i++) s[i].clear();
  for(int v : joke){
    for(int i = 1; i <= n; i++) cnt[i] = 0, siz[i] = 0, sum[i] = 0, l[i] = 0, r[i] = 0;
    for(int i = 1; i <= n; i++) s[i].clear();
    DFS(1, 0, v);
    DDFS(1, 0, v);
  }
  for(int i = 1; i <= n; i++) l[i] = 0, r[i] = 0, siz[i] = 0, s[i].clear();
  DDDFS(1, 0);
  cout << ans.first << ' ' << ans.second;
  return 0;
}
/*
合并子树内有多少个深度为 i 的点
对于每种颜色：
1. 拥有颜色数量 <= sqrt(n)，只需关注需要关注的
2. 大于 sqrt(n)，对于每种颜色单独考虑
*/

Compilation message

Main.cpp: In function 'void DDDFS(int, int)':
Main.cpp:92:13: warning: unused variable 'tmp' [-Wunused-variable]
   92 |         int tmp = min(cnt[num.first], s[x][now].second);
      |             ^~~

Subtask #1
12.0 / 12.0

# Verdict Execution time Memory Grader output
1 Correct 3 ms 7516 KB Output is correct
2 Correct 3 ms 7516 KB Output is correct
3 Correct 3 ms 7516 KB Output is correct
4 Correct 3 ms 7508 KB Output is correct
5 Correct 3 ms 7516 KB Output is correct
6 Correct 3 ms 7516 KB Output is correct
7 Correct 3 ms 7564 KB Output is correct
8 Correct 4 ms 7784 KB Output is correct
9 Correct 43 ms 29964 KB Output is correct
10 Correct 3 ms 7672 KB Output is correct
11 Correct 9 ms 7772 KB Output is correct
12 Correct 34 ms 30480 KB Output is correct
13 Correct 3 ms 7512 KB Output is correct
14 Correct 3 ms 8004 KB Output is correct
15 Correct 43 ms 30516 KB Output is correct
16 Correct 3 ms 7516 KB Output is correct

Subtask #2
19.0 / 19.0

# Verdict Execution time Memory Grader output
1 Correct 3 ms 7360 KB Output is correct
2 Correct 3 ms 7516 KB Output is correct
3 Correct 3 ms 7544 KB Output is correct
4 Correct 9 ms 7964 KB Output is correct
5 Correct 36 ms 30536 KB Output is correct
6 Correct 3 ms 7516 KB Output is correct
7 Correct 3 ms 7536 KB Output is correct
8 Correct 29 ms 16384 KB Output is correct
9 Correct 3 ms 7516 KB Output is correct
10 Correct 9 ms 7772 KB Output is correct
11 Correct 57 ms 22620 KB Output is correct
12 Correct 17 ms 14944 KB Output is correct
13 Correct 2 ms 7508 KB Output is correct
14 Correct 2 ms 7516 KB Output is correct
15 Correct 53 ms 16884 KB Output is correct
16 Correct 65 ms 16864 KB Output is correct
17 Correct 3 ms 7516 KB Output is correct
18 Correct 3 ms 7516 KB Output is correct
19 Correct 50 ms 16908 KB Output is correct
20 Correct 53 ms 16932 KB Output is correct
21 Correct 55 ms 16844 KB Output is correct
22 Correct 3 ms 7512 KB Output is correct

Subtask #3
27.0 / 27.0

# Verdict Execution time Memory Grader output
1 Correct 3 ms 7516 KB Output is correct
2 Correct 3 ms 7516 KB Output is correct
3 Correct 3 ms 7516 KB Output is correct
4 Correct 3 ms 7516 KB Output is correct
5 Correct 2 ms 7516 KB Output is correct
6 Correct 3 ms 7512 KB Output is correct
7 Correct 3 ms 7516 KB Output is correct
8 Correct 38 ms 29828 KB Output is correct
9 Correct 3 ms 7768 KB Output is correct
10 Correct 3 ms 7772 KB Output is correct
11 Correct 42 ms 30432 KB Output is correct
12 Correct 3 ms 7516 KB Output is correct
13 Correct 3 ms 7516 KB Output is correct
14 Correct 3 ms 7516 KB Output is correct
15 Correct 4 ms 7516 KB Output is correct
16 Correct 4 ms 7528 KB Output is correct
17 Correct 4 ms 7516 KB Output is correct
18 Correct 64 ms 16448 KB Output is correct
19 Correct 51 ms 16208 KB Output is correct
20 Correct 50 ms 18328 KB Output is correct
21 Correct 47 ms 15080 KB Output is correct
22 Correct 41 ms 16732 KB Output is correct
23 Correct 54 ms 23384 KB Output is correct
24 Correct 43 ms 20808 KB Output is correct
25 Correct 4 ms 7768 KB Output is correct
26 Correct 4 ms 7768 KB Output is correct
27 Correct 4 ms 7516 KB Output is correct
28 Correct 4 ms 7516 KB Output is correct
29 Correct 7 ms 8284 KB Output is correct
30 Correct 49 ms 15976 KB Output is correct
31 Correct 53 ms 16772 KB Output is correct
32 Correct 52 ms 19632 KB Output is correct
33 Correct 48 ms 16436 KB Output is correct
34 Correct 3 ms 7516 KB Output is correct
35 Correct 3 ms 7516 KB Output is correct
36 Correct 3 ms 7516 KB Output is correct
37 Correct 3 ms 7508 KB Output is correct

Subtask #4
23.0 / 23.0

# Verdict Execution time Memory Grader output
1 Correct 3 ms 7516 KB Output is correct
2 Correct 3 ms 7508 KB Output is correct
3 Correct 3 ms 7516 KB Output is correct
4 Correct 3 ms 7552 KB Output is correct
5 Correct 3 ms 7516 KB Output is correct
6 Correct 3 ms 7516 KB Output is correct
7 Correct 3 ms 7516 KB Output is correct
8 Correct 4 ms 7776 KB Output is correct
9 Correct 3 ms 7516 KB Output is correct
10 Correct 15 ms 8028 KB Output is correct
11 Correct 3 ms 7516 KB Output is correct
12 Correct 3 ms 7772 KB Output is correct
13 Correct 3 ms 7512 KB Output is correct
14 Correct 3 ms 7516 KB Output is correct
15 Correct 3 ms 7516 KB Output is correct
16 Correct 10 ms 7776 KB Output is correct
17 Correct 3 ms 7520 KB Output is correct
18 Correct 3 ms 7520 KB Output is correct
19 Correct 3 ms 7520 KB Output is correct
20 Correct 4 ms 7520 KB Output is correct
21 Correct 3 ms 7516 KB Output is correct
22 Correct 3 ms 7516 KB Output is correct
23 Correct 4 ms 7516 KB Output is correct
24 Correct 3 ms 7516 KB Output is correct
25 Correct 3 ms 7516 KB Output is correct
26 Correct 4 ms 7768 KB Output is correct
27 Correct 3 ms 7772 KB Output is correct
28 Correct 3 ms 7516 KB Output is correct
29 Correct 3 ms 7516 KB Output is correct
30 Correct 7 ms 7772 KB Output is correct
31 Correct 4 ms 7516 KB Output is correct
32 Correct 9 ms 7528 KB Output is correct
33 Correct 3 ms 7516 KB Output is correct
34 Correct 6 ms 7516 KB Output is correct
35 Correct 6 ms 7512 KB Output is correct
36 Correct 4 ms 7516 KB Output is correct
37 Correct 11 ms 7516 KB Output is correct
38 Correct 3 ms 7516 KB Output is correct
39 Correct 3 ms 7516 KB Output is correct
40 Correct 3 ms 7516 KB Output is correct
41 Correct 3 ms 7516 KB Output is correct

Subtask #5
19.0 / 19.0

# Verdict Execution time Memory Grader output
1 Correct 3 ms 7516 KB Output is correct
2 Correct 3 ms 7516 KB Output is correct
3 Correct 3 ms 7516 KB Output is correct
4 Correct 3 ms 7508 KB Output is correct
5 Correct 3 ms 7516 KB Output is correct
6 Correct 3 ms 7516 KB Output is correct
7 Correct 3 ms 7564 KB Output is correct
8 Correct 4 ms 7784 KB Output is correct
9 Correct 43 ms 29964 KB Output is correct
10 Correct 3 ms 7672 KB Output is correct
11 Correct 9 ms 7772 KB Output is correct
12 Correct 34 ms 30480 KB Output is correct
13 Correct 3 ms 7512 KB Output is correct
14 Correct 3 ms 8004 KB Output is correct
15 Correct 43 ms 30516 KB Output is correct
16 Correct 3 ms 7516 KB Output is correct
17 Correct 3 ms 7360 KB Output is correct
18 Correct 3 ms 7516 KB Output is correct
19 Correct 3 ms 7544 KB Output is correct
20 Correct 9 ms 7964 KB Output is correct
21 Correct 36 ms 30536 KB Output is correct
22 Correct 3 ms 7516 KB Output is correct
23 Correct 3 ms 7536 KB Output is correct
24 Correct 29 ms 16384 KB Output is correct
25 Correct 3 ms 7516 KB Output is correct
26 Correct 9 ms 7772 KB Output is correct
27 Correct 57 ms 22620 KB Output is correct
28 Correct 17 ms 14944 KB Output is correct
29 Correct 2 ms 7508 KB Output is correct
30 Correct 2 ms 7516 KB Output is correct
31 Correct 53 ms 16884 KB Output is correct
32 Correct 65 ms 16864 KB Output is correct
33 Correct 3 ms 7516 KB Output is correct
34 Correct 3 ms 7516 KB Output is correct
35 Correct 50 ms 16908 KB Output is correct
36 Correct 53 ms 16932 KB Output is correct
37 Correct 55 ms 16844 KB Output is correct
38 Correct 3 ms 7512 KB Output is correct
39 Correct 3 ms 7516 KB Output is correct
40 Correct 3 ms 7516 KB Output is correct
41 Correct 3 ms 7516 KB Output is correct
42 Correct 3 ms 7516 KB Output is correct
43 Correct 2 ms 7516 KB Output is correct
44 Correct 3 ms 7512 KB Output is correct
45 Correct 3 ms 7516 KB Output is correct
46 Correct 38 ms 29828 KB Output is correct
47 Correct 3 ms 7768 KB Output is correct
48 Correct 3 ms 7772 KB Output is correct
49 Correct 42 ms 30432 KB Output is correct
50 Correct 3 ms 7516 KB Output is correct
51 Correct 3 ms 7516 KB Output is correct
52 Correct 3 ms 7516 KB Output is correct
53 Correct 4 ms 7516 KB Output is correct
54 Correct 4 ms 7528 KB Output is correct
55 Correct 4 ms 7516 KB Output is correct
56 Correct 64 ms 16448 KB Output is correct
57 Correct 51 ms 16208 KB Output is correct
58 Correct 50 ms 18328 KB Output is correct
59 Correct 47 ms 15080 KB Output is correct
60 Correct 41 ms 16732 KB Output is correct
61 Correct 54 ms 23384 KB Output is correct
62 Correct 43 ms 20808 KB Output is correct
63 Correct 4 ms 7768 KB Output is correct
64 Correct 4 ms 7768 KB Output is correct
65 Correct 4 ms 7516 KB Output is correct
66 Correct 4 ms 7516 KB Output is correct
67 Correct 7 ms 8284 KB Output is correct
68 Correct 49 ms 15976 KB Output is correct
69 Correct 53 ms 16772 KB Output is correct
70 Correct 52 ms 19632 KB Output is correct
71 Correct 48 ms 16436 KB Output is correct
72 Correct 3 ms 7516 KB Output is correct
73 Correct 3 ms 7516 KB Output is correct
74 Correct 3 ms 7516 KB Output is correct
75 Correct 3 ms 7508 KB Output is correct
76 Correct 3 ms 7516 KB Output is correct
77 Correct 3 ms 7508 KB Output is correct
78 Correct 3 ms 7516 KB Output is correct
79 Correct 3 ms 7552 KB Output is correct
80 Correct 3 ms 7516 KB Output is correct
81 Correct 3 ms 7516 KB Output is correct
82 Correct 3 ms 7516 KB Output is correct
83 Correct 4 ms 7776 KB Output is correct
84 Correct 3 ms 7516 KB Output is correct
85 Correct 15 ms 8028 KB Output is correct
86 Correct 3 ms 7516 KB Output is correct
87 Correct 3 ms 7772 KB Output is correct
88 Correct 3 ms 7512 KB Output is correct
89 Correct 3 ms 7516 KB Output is correct
90 Correct 3 ms 7516 KB Output is correct
91 Correct 10 ms 7776 KB Output is correct
92 Correct 3 ms 7520 KB Output is correct
93 Correct 3 ms 7520 KB Output is correct
94 Correct 3 ms 7520 KB Output is correct
95 Correct 4 ms 7520 KB Output is correct
96 Correct 3 ms 7516 KB Output is correct
97 Correct 3 ms 7516 KB Output is correct
98 Correct 4 ms 7516 KB Output is correct
99 Correct 3 ms 7516 KB Output is correct
100 Correct 3 ms 7516 KB Output is correct
101 Correct 4 ms 7768 KB Output is correct
102 Correct 3 ms 7772 KB Output is correct
103 Correct 3 ms 7516 KB Output is correct
104 Correct 3 ms 7516 KB Output is correct
105 Correct 7 ms 7772 KB Output is correct
106 Correct 4 ms 7516 KB Output is correct
107 Correct 9 ms 7528 KB Output is correct
108 Correct 3 ms 7516 KB Output is correct
109 Correct 6 ms 7516 KB Output is correct
110 Correct 6 ms 7512 KB Output is correct
111 Correct 4 ms 7516 KB Output is correct
112 Correct 11 ms 7516 KB Output is correct
113 Correct 3 ms 7516 KB Output is correct
114 Correct 3 ms 7516 KB Output is correct
115 Correct 3 ms 7516 KB Output is correct
116 Correct 3 ms 7516 KB Output is correct
117 Correct 3 ms 7512 KB Output is correct
118 Correct 3 ms 7516 KB Output is correct
119 Correct 3 ms 7516 KB Output is correct
120 Correct 4 ms 7512 KB Output is correct
121 Correct 3 ms 7516 KB Output is correct
122 Correct 3 ms 7512 KB Output is correct
123 Correct 3 ms 7512 KB Output is correct
124 Correct 4 ms 7772 KB Output is correct
125 Correct 39 ms 29848 KB Output is correct
126 Correct 3 ms 7516 KB Output is correct
127 Correct 10 ms 7968 KB Output is correct
128 Correct 36 ms 30456 KB Output is correct
129 Correct 3 ms 7516 KB Output is correct
130 Correct 3 ms 7864 KB Output is correct
131 Correct 47 ms 30520 KB Output is correct
132 Correct 4 ms 7516 KB Output is correct
133 Correct 3 ms 7516 KB Output is correct
134 Correct 29 ms 16532 KB Output is correct
135 Correct 3 ms 7512 KB Output is correct
136 Correct 11 ms 7772 KB Output is correct
137 Correct 57 ms 22592 KB Output is correct
138 Correct 19 ms 15132 KB Output is correct
139 Correct 3 ms 7512 KB Output is correct
140 Correct 3 ms 7768 KB Output is correct
141 Correct 56 ms 16812 KB Output is correct
142 Correct 57 ms 16864 KB Output is correct
143 Correct 3 ms 7516 KB Output is correct
144 Correct 4 ms 7516 KB Output is correct
145 Correct 52 ms 17040 KB Output is correct
146 Correct 55 ms 16872 KB Output is correct
147 Correct 55 ms 16836 KB Output is correct
148 Correct 3 ms 7512 KB Output is correct
149 Correct 4 ms 7512 KB Output is correct
150 Correct 4 ms 7516 KB Output is correct
151 Correct 3 ms 7520 KB Output is correct
152 Correct 3 ms 7512 KB Output is correct
153 Correct 55 ms 16444 KB Output is correct
154 Correct 49 ms 16216 KB Output is correct
155 Correct 51 ms 18384 KB Output is correct
156 Correct 51 ms 15184 KB Output is correct
157 Correct 43 ms 16720 KB Output is correct
158 Correct 50 ms 23372 KB Output is correct
159 Correct 47 ms 20780 KB Output is correct
160 Correct 3 ms 7772 KB Output is correct
161 Correct 4 ms 7788 KB Output is correct
162 Correct 4 ms 7516 KB Output is correct
163 Correct 4 ms 7584 KB Output is correct
164 Correct 7 ms 8284 KB Output is correct
165 Correct 51 ms 16136 KB Output is correct
166 Correct 55 ms 17228 KB Output is correct
167 Correct 54 ms 19660 KB Output is correct
168 Correct 49 ms 16476 KB Output is correct
169 Correct 6 ms 7768 KB Output is correct
170 Correct 4 ms 7512 KB Output is correct
171 Correct 9 ms 7512 KB Output is correct
172 Correct 3 ms 7516 KB Output is correct
173 Correct 5 ms 7516 KB Output is correct
174 Correct 5 ms 7696 KB Output is correct
175 Correct 4 ms 7516 KB Output is correct
176 Correct 11 ms 7684 KB Output is correct
177 Correct 63 ms 24396 KB Output is correct
178 Correct 239 ms 15740 KB Output is correct
179 Correct 45 ms 15700 KB Output is correct
180 Correct 7 ms 8280 KB Output is correct
181 Correct 54 ms 16876 KB Output is correct
182 Correct 7 ms 8288 KB Output is correct
183 Correct 6 ms 8196 KB Output is correct
184 Correct 7 ms 8284 KB Output is correct
185 Correct 6 ms 8284 KB Output is correct
186 Correct 58 ms 16108 KB Output is correct
187 Correct 42 ms 15408 KB Output is correct
188 Correct 59 ms 15956 KB Output is correct
189 Correct 41 ms 15324 KB Output is correct
190 Correct 45 ms 15428 KB Output is correct
191 Correct 37 ms 15464 KB Output is correct
192 Correct 8 ms 8552 KB Output is correct
193 Correct 62 ms 17452 KB Output is correct
194 Correct 33 ms 17504 KB Output is correct
195 Correct 3 ms 7516 KB Output is correct
196 Correct 3 ms 7516 KB Output is correct
197 Correct 3 ms 7516 KB Output is correct
198 Correct 3 ms 7516 KB Output is correct