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Submission #696520

# Submission time Handle Problem Language Result Execution time Memory
696520 2023-02-06T17:27:26 Z cig32 Diversity (CEOI21_diversity) C++14
64 / 100
 7000 ms 11044 KB 
#include "bits/stdc++.h"
using namespace std;
#define int long long
const int MAXN = 3e5 + 10;
const int MOD = 1e9 + 7;
mt19937_64 rng((int)std::chrono::steady_clock::now().time_since_epoch().count());
int rnd(int x, int y) {
  int u = uniform_int_distribution<int>(x, y)(rng); return u;
}
int bm(int b, int p) {
  if(p==0) return 1 % MOD;
  int r = bm(b, p >> 1);
  if(p&1) return (((r*r) % MOD) * b) % MOD;
  return (r*r) % MOD;
}
int inv(int b) { 
  return bm(b, MOD-2);
}
int fastlog(int x) {
  return (x == 0 ? -1 : 64 - __builtin_clzll(x) - 1);
}
void printcase(int i) { cout << "Case #" << i << ": "; }

int f[MAXN], ans, n, sum1all, sum2all;

int bit1[MAXN];
void add1(int x, int v) {
  sum1all += v;
  for(;x<MAXN;x+=x&-x) bit1[x] += v;
}
int sum1(int x) {
  int s=0;
  for(;x;x-=x&-x) s += bit1[x];
  return s;
}
int bit2[MAXN];
void add2(int x, int v) {
  sum2all += v;
  for(;x<MAXN;x+=x&-x) bit2[x] += v;
}
int sum2(int x) {
  int s=0;
  for(;x;x-=x&-x) s += bit2[x];
  return s;
}
int bit3[MAXN];
void add3(int x, int v) {
  x++;
  for(;x<MAXN;x+=x&-x) bit3[x] += v;
}
int sum3(int x) {
  x++;
  int s=0;
  for(;x;x-=x&-x) s += bit3[x];
  return s;
}
void edit(int i, int x) {
  ans -= sum1(i-1) * f[i] * i;
  ans += sum2(i-1) * f[i];
  ans -= f[i] * (sum2all - sum2(i) + sum1all - sum1(i));
  ans += f[i] * (i-1) * (sum1all - sum1(i));
  add1(i, -f[i]);
  add2(i, -f[i] * (i-1));
  ans -= f[i] * (f[i] + 1) / 2;
  f[i] = x;
  ans += f[i] * (f[i] + 1) / 2;
  add1(i, f[i]);
  add2(i, f[i] * (i-1));
  ans += sum1(i-1) * f[i] * i;
  ans -= sum2(i-1) * f[i];
  ans += f[i] * (sum2all - sum2(i) + sum1all - sum1(i));
  ans -= f[i] * (i-1) * (sum1all - sum1(i));
}
int block;
bool modui(pair<pair<int,int>,int> a, pair<pair<int,int>,int> b) {
  if(a.first.first / block != b.first.first / block) return a.first.first / block < b.first.first / block;
  return a.first.second < b.first.second;
}
void solve(int tc) {
  int q;
  cin >> n >> q;
  int c = 300000;
  block = ceil(sqrt(c));
  int arr[n+1];
  for(int i=1; i<=n; i++) cin >> arr[i];
  pair<pair<int,int>,int> qry[q+1];
  for(int i=1; i<=q; i++) {
    cin >> qry[i].first.first >> qry[i].first.second;
    qry[i].second = i;
  }
  sort(qry+1, qry+q+1, modui);
  int res[q+1];
  int l = qry[1].first.first, r = qry[1].first.first - 1;
  int freq[c+1];
  for(int i=1; i<=c; i++) freq[i] = 0;
  add3(0, n);
  for(int i=1; i<=q; i++) {
    while(l > qry[i].first.first) {
      l--;
      add3(freq[arr[l]], -1);
      freq[arr[l]]++;
      add3(freq[arr[l]], 1);
      int rank = sum3(freq[arr[l]] - 1) + 1;
      int pos = (rank & 1 ? (rank + 1) / 2 : n + 1 - rank / 2);
      edit(pos, freq[arr[l]]);
    }
    while(r > qry[i].first.second) {
      add3(freq[arr[r]], -1);
      freq[arr[r]]--;
      add3(freq[arr[r]], 1);
      int rank = sum3(freq[arr[r]]);
      int pos = (rank & 1 ? (rank + 1) / 2 : n + 1 - rank / 2);
      edit(pos, freq[arr[r]]);
      r--;
    }
    while(r < qry[i].first.second) {
      r++;
      add3(freq[arr[r]], -1);
      freq[arr[r]]++;
      add3(freq[arr[r]], 1);
      int rank = sum3(freq[arr[r]] - 1) + 1;
      int pos = (rank & 1 ? (rank + 1) / 2 : n + 1 - rank / 2);
      edit(pos, freq[arr[r]]);
    }
    while(l < qry[i].first.first) {
      add3(freq[arr[l]], -1);
      freq[arr[l]]--;
      add3(freq[arr[l]], 1);
      int rank = sum3(freq[arr[l]]);
      int pos = (rank & 1 ? (rank + 1) / 2 : n + 1 - rank / 2);
      edit(pos, freq[arr[l]]);
      l++;
    }
    res[qry[i].second] = ans;
  }
  for(int i=1; i<=q; i++) cout << res[i] << "\n";

}
int32_t main() {
  ios::sync_with_stdio(0); cin.tie(0);
  int t = 1; //cin >> t;
  for(int i=1; i<=t; i++) solve(i);
}

Subtask #1
4.0 / 4.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 2772 KB Output is correct
2 Correct 2 ms 2772 KB Output is correct
3 Correct 1 ms 2772 KB Output is correct
4 Correct 1 ms 2772 KB Output is correct
5 Correct 2 ms 2772 KB Output is correct
6 Correct 2 ms 2772 KB Output is correct
7 Correct 2 ms 2772 KB Output is correct
8 Correct 2 ms 2772 KB Output is correct
9 Correct 1 ms 2772 KB Output is correct
10 Correct 2 ms 2772 KB Output is correct

Subtask #2
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 2772 KB Output is correct
2 Correct 2 ms 2772 KB Output is correct
3 Correct 4 ms 2868 KB Output is correct
4 Correct 23 ms 3652 KB Output is correct
5 Correct 46 ms 4864 KB Output is correct
6 Correct 70 ms 5492 KB Output is correct
7 Correct 66 ms 6328 KB Output is correct
8 Correct 68 ms 5460 KB Output is correct
9 Correct 68 ms 5508 KB Output is correct
10 Correct 67 ms 5776 KB Output is correct
11 Correct 72 ms 5624 KB Output is correct
12 Correct 70 ms 5504 KB Output is correct
13 Correct 69 ms 5492 KB Output is correct
14 Correct 68 ms 5604 KB Output is correct
15 Correct 71 ms 5584 KB Output is correct

Subtask #3
8.0 / 8.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 2772 KB Output is correct
2 Correct 2 ms 2772 KB Output is correct
3 Correct 4 ms 2868 KB Output is correct
4 Correct 23 ms 3652 KB Output is correct
5 Correct 46 ms 4864 KB Output is correct
6 Correct 70 ms 5492 KB Output is correct
7 Correct 66 ms 6328 KB Output is correct
8 Correct 68 ms 5460 KB Output is correct
9 Correct 68 ms 5508 KB Output is correct
10 Correct 67 ms 5776 KB Output is correct
11 Correct 72 ms 5624 KB Output is correct
12 Correct 70 ms 5504 KB Output is correct
13 Correct 69 ms 5492 KB Output is correct
14 Correct 68 ms 5604 KB Output is correct
15 Correct 71 ms 5584 KB Output is correct
16 Correct 1 ms 2772 KB Output is correct
17 Correct 2 ms 2772 KB Output is correct
18 Correct 4 ms 2772 KB Output is correct
19 Correct 26 ms 3620 KB Output is correct
20 Correct 48 ms 4452 KB Output is correct
21 Correct 78 ms 5476 KB Output is correct
22 Correct 73 ms 5324 KB Output is correct
23 Correct 72 ms 5440 KB Output is correct
24 Correct 71 ms 5388 KB Output is correct
25 Correct 77 ms 5376 KB Output is correct
26 Correct 73 ms 5324 KB Output is correct
27 Correct 71 ms 5452 KB Output is correct
28 Correct 71 ms 5632 KB Output is correct
29 Correct 73 ms 5328 KB Output is correct
30 Correct 72 ms 5416 KB Output is correct

Subtask #4
16.0 / 16.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 2772 KB Output is correct
2 Correct 2 ms 2772 KB Output is correct
3 Correct 4 ms 2868 KB Output is correct
4 Correct 23 ms 3652 KB Output is correct
5 Correct 46 ms 4864 KB Output is correct
6 Correct 70 ms 5492 KB Output is correct
7 Correct 66 ms 6328 KB Output is correct
8 Correct 68 ms 5460 KB Output is correct
9 Correct 68 ms 5508 KB Output is correct
10 Correct 67 ms 5776 KB Output is correct
11 Correct 72 ms 5624 KB Output is correct
12 Correct 70 ms 5504 KB Output is correct
13 Correct 69 ms 5492 KB Output is correct
14 Correct 68 ms 5604 KB Output is correct
15 Correct 71 ms 5584 KB Output is correct
16 Correct 1 ms 2772 KB Output is correct
17 Correct 2 ms 2772 KB Output is correct
18 Correct 4 ms 2772 KB Output is correct
19 Correct 26 ms 3620 KB Output is correct
20 Correct 48 ms 4452 KB Output is correct
21 Correct 78 ms 5476 KB Output is correct
22 Correct 73 ms 5324 KB Output is correct
23 Correct 72 ms 5440 KB Output is correct
24 Correct 71 ms 5388 KB Output is correct
25 Correct 77 ms 5376 KB Output is correct
26 Correct 73 ms 5324 KB Output is correct
27 Correct 71 ms 5452 KB Output is correct
28 Correct 71 ms 5632 KB Output is correct
29 Correct 73 ms 5328 KB Output is correct
30 Correct 72 ms 5416 KB Output is correct
31 Correct 2 ms 2772 KB Output is correct
32 Correct 2 ms 2772 KB Output is correct
33 Correct 2 ms 2772 KB Output is correct
34 Correct 4 ms 2772 KB Output is correct
35 Correct 4 ms 2900 KB Output is correct
36 Correct 4 ms 2900 KB Output is correct
37 Correct 15 ms 3156 KB Output is correct
38 Correct 15 ms 3156 KB Output is correct
39 Correct 29 ms 3556 KB Output is correct
40 Correct 52 ms 4376 KB Output is correct
41 Correct 76 ms 5068 KB Output is correct
42 Correct 78 ms 5200 KB Output is correct
43 Correct 79 ms 5148 KB Output is correct
44 Correct 80 ms 5152 KB Output is correct
45 Correct 77 ms 5144 KB Output is correct
46 Correct 77 ms 5112 KB Output is correct
47 Correct 78 ms 5144 KB Output is correct
48 Correct 79 ms 5104 KB Output is correct
49 Correct 77 ms 5144 KB Output is correct
50 Correct 79 ms 5140 KB Output is correct
51 Correct 77 ms 5076 KB Output is correct
52 Correct 76 ms 5144 KB Output is correct
53 Correct 90 ms 5108 KB Output is correct
54 Correct 89 ms 5152 KB Output is correct
55 Correct 79 ms 5068 KB Output is correct
56 Correct 78 ms 5152 KB Output is correct
57 Correct 79 ms 5144 KB Output is correct
58 Correct 77 ms 5076 KB Output is correct
59 Correct 82 ms 5112 KB Output is correct
60 Correct 81 ms 5116 KB Output is correct

Subtask #5
26.0 / 26.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 2772 KB Output is correct
2 Correct 2 ms 2772 KB Output is correct
3 Correct 1 ms 2772 KB Output is correct
4 Correct 1 ms 2772 KB Output is correct
5 Correct 2 ms 2772 KB Output is correct
6 Correct 2 ms 2772 KB Output is correct
7 Correct 2 ms 2772 KB Output is correct
8 Correct 2 ms 2772 KB Output is correct
9 Correct 1 ms 2772 KB Output is correct
10 Correct 2 ms 2772 KB Output is correct
11 Correct 1 ms 2772 KB Output is correct
12 Correct 2 ms 2772 KB Output is correct
13 Correct 4 ms 2868 KB Output is correct
14 Correct 23 ms 3652 KB Output is correct
15 Correct 46 ms 4864 KB Output is correct
16 Correct 70 ms 5492 KB Output is correct
17 Correct 66 ms 6328 KB Output is correct
18 Correct 68 ms 5460 KB Output is correct
19 Correct 68 ms 5508 KB Output is correct
20 Correct 67 ms 5776 KB Output is correct
21 Correct 72 ms 5624 KB Output is correct
22 Correct 70 ms 5504 KB Output is correct
23 Correct 69 ms 5492 KB Output is correct
24 Correct 68 ms 5604 KB Output is correct
25 Correct 71 ms 5584 KB Output is correct
26 Correct 1 ms 2772 KB Output is correct
27 Correct 2 ms 2772 KB Output is correct
28 Correct 4 ms 2772 KB Output is correct
29 Correct 26 ms 3620 KB Output is correct
30 Correct 48 ms 4452 KB Output is correct
31 Correct 78 ms 5476 KB Output is correct
32 Correct 73 ms 5324 KB Output is correct
33 Correct 72 ms 5440 KB Output is correct
34 Correct 71 ms 5388 KB Output is correct
35 Correct 77 ms 5376 KB Output is correct
36 Correct 73 ms 5324 KB Output is correct
37 Correct 71 ms 5452 KB Output is correct
38 Correct 71 ms 5632 KB Output is correct
39 Correct 73 ms 5328 KB Output is correct
40 Correct 72 ms 5416 KB Output is correct
41 Correct 2 ms 2772 KB Output is correct
42 Correct 2 ms 2772 KB Output is correct
43 Correct 2 ms 2772 KB Output is correct
44 Correct 4 ms 2772 KB Output is correct
45 Correct 4 ms 2900 KB Output is correct
46 Correct 4 ms 2900 KB Output is correct
47 Correct 15 ms 3156 KB Output is correct
48 Correct 15 ms 3156 KB Output is correct
49 Correct 29 ms 3556 KB Output is correct
50 Correct 52 ms 4376 KB Output is correct
51 Correct 76 ms 5068 KB Output is correct
52 Correct 78 ms 5200 KB Output is correct
53 Correct 79 ms 5148 KB Output is correct
54 Correct 80 ms 5152 KB Output is correct
55 Correct 77 ms 5144 KB Output is correct
56 Correct 77 ms 5112 KB Output is correct
57 Correct 78 ms 5144 KB Output is correct
58 Correct 79 ms 5104 KB Output is correct
59 Correct 77 ms 5144 KB Output is correct
60 Correct 79 ms 5140 KB Output is correct
61 Correct 77 ms 5076 KB Output is correct
62 Correct 76 ms 5144 KB Output is correct
63 Correct 90 ms 5108 KB Output is correct
64 Correct 89 ms 5152 KB Output is correct
65 Correct 79 ms 5068 KB Output is correct
66 Correct 78 ms 5152 KB Output is correct
67 Correct 79 ms 5144 KB Output is correct
68 Correct 77 ms 5076 KB Output is correct
69 Correct 82 ms 5112 KB Output is correct
70 Correct 81 ms 5116 KB Output is correct
71 Correct 14 ms 3160 KB Output is correct
72 Correct 14 ms 3156 KB Output is correct
73 Correct 15 ms 3156 KB Output is correct
74 Correct 14 ms 3236 KB Output is correct
75 Correct 14 ms 3156 KB Output is correct
76 Correct 29 ms 3676 KB Output is correct
77 Correct 28 ms 3668 KB Output is correct
78 Correct 28 ms 3664 KB Output is correct
79 Correct 31 ms 3664 KB Output is correct
80 Correct 28 ms 3668 KB Output is correct
81 Correct 57 ms 4520 KB Output is correct
82 Correct 56 ms 4556 KB Output is correct
83 Correct 55 ms 4564 KB Output is correct
84 Correct 55 ms 4548 KB Output is correct
85 Correct 55 ms 4556 KB Output is correct
86 Correct 57 ms 4824 KB Output is correct
87 Correct 56 ms 4716 KB Output is correct
88 Correct 59 ms 4808 KB Output is correct
89 Correct 57 ms 4764 KB Output is correct
90 Correct 57 ms 4744 KB Output is correct
91 Correct 87 ms 7372 KB Output is correct
92 Correct 90 ms 7364 KB Output is correct
93 Correct 90 ms 7404 KB Output is correct
94 Correct 89 ms 7372 KB Output is correct
95 Correct 88 ms 7364 KB Output is correct
96 Correct 102 ms 9724 KB Output is correct
97 Correct 101 ms 9804 KB Output is correct
98 Correct 92 ms 9752 KB Output is correct
99 Correct 101 ms 9768 KB Output is correct
100 Correct 95 ms 9688 KB Output is correct
101 Correct 93 ms 9712 KB Output is correct
102 Correct 98 ms 9768 KB Output is correct
103 Correct 106 ms 9848 KB Output is correct
104 Correct 99 ms 9804 KB Output is correct
105 Correct 95 ms 9776 KB Output is correct
106 Correct 95 ms 10920 KB Output is correct
107 Correct 102 ms 10972 KB Output is correct
108 Correct 98 ms 10872 KB Output is correct
109 Correct 102 ms 10944 KB Output is correct
110 Correct 96 ms 10876 KB Output is correct
111 Correct 95 ms 10892 KB Output is correct
112 Correct 94 ms 10928 KB Output is correct
113 Correct 108 ms 11044 KB Output is correct
114 Correct 95 ms 10836 KB Output is correct
115 Correct 94 ms 10860 KB Output is correct

Subtask #6
0 / 36.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 2772 KB Output is correct
2 Correct 2 ms 2772 KB Output is correct
3 Correct 1 ms 2772 KB Output is correct
4 Correct 1 ms 2772 KB Output is correct
5 Correct 2 ms 2772 KB Output is correct
6 Correct 2 ms 2772 KB Output is correct
7 Correct 2 ms 2772 KB Output is correct
8 Correct 2 ms 2772 KB Output is correct
9 Correct 1 ms 2772 KB Output is correct
10 Correct 2 ms 2772 KB Output is correct
11 Correct 1 ms 2772 KB Output is correct
12 Correct 2 ms 2772 KB Output is correct
13 Correct 4 ms 2868 KB Output is correct
14 Correct 23 ms 3652 KB Output is correct
15 Correct 46 ms 4864 KB Output is correct
16 Correct 70 ms 5492 KB Output is correct
17 Correct 66 ms 6328 KB Output is correct
18 Correct 68 ms 5460 KB Output is correct
19 Correct 68 ms 5508 KB Output is correct
20 Correct 67 ms 5776 KB Output is correct
21 Correct 72 ms 5624 KB Output is correct
22 Correct 70 ms 5504 KB Output is correct
23 Correct 69 ms 5492 KB Output is correct
24 Correct 68 ms 5604 KB Output is correct
25 Correct 71 ms 5584 KB Output is correct
26 Correct 1 ms 2772 KB Output is correct
27 Correct 2 ms 2772 KB Output is correct
28 Correct 4 ms 2772 KB Output is correct
29 Correct 26 ms 3620 KB Output is correct
30 Correct 48 ms 4452 KB Output is correct
31 Correct 78 ms 5476 KB Output is correct
32 Correct 73 ms 5324 KB Output is correct
33 Correct 72 ms 5440 KB Output is correct
34 Correct 71 ms 5388 KB Output is correct
35 Correct 77 ms 5376 KB Output is correct
36 Correct 73 ms 5324 KB Output is correct
37 Correct 71 ms 5452 KB Output is correct
38 Correct 71 ms 5632 KB Output is correct
39 Correct 73 ms 5328 KB Output is correct
40 Correct 72 ms 5416 KB Output is correct
41 Correct 2 ms 2772 KB Output is correct
42 Correct 2 ms 2772 KB Output is correct
43 Correct 2 ms 2772 KB Output is correct
44 Correct 4 ms 2772 KB Output is correct
45 Correct 4 ms 2900 KB Output is correct
46 Correct 4 ms 2900 KB Output is correct
47 Correct 15 ms 3156 KB Output is correct
48 Correct 15 ms 3156 KB Output is correct
49 Correct 29 ms 3556 KB Output is correct
50 Correct 52 ms 4376 KB Output is correct
51 Correct 76 ms 5068 KB Output is correct
52 Correct 78 ms 5200 KB Output is correct
53 Correct 79 ms 5148 KB Output is correct
54 Correct 80 ms 5152 KB Output is correct
55 Correct 77 ms 5144 KB Output is correct
56 Correct 77 ms 5112 KB Output is correct
57 Correct 78 ms 5144 KB Output is correct
58 Correct 79 ms 5104 KB Output is correct
59 Correct 77 ms 5144 KB Output is correct
60 Correct 79 ms 5140 KB Output is correct
61 Correct 77 ms 5076 KB Output is correct
62 Correct 76 ms 5144 KB Output is correct
63 Correct 90 ms 5108 KB Output is correct
64 Correct 89 ms 5152 KB Output is correct
65 Correct 79 ms 5068 KB Output is correct
66 Correct 78 ms 5152 KB Output is correct
67 Correct 79 ms 5144 KB Output is correct
68 Correct 77 ms 5076 KB Output is correct
69 Correct 82 ms 5112 KB Output is correct
70 Correct 81 ms 5116 KB Output is correct
71 Correct 14 ms 3160 KB Output is correct
72 Correct 14 ms 3156 KB Output is correct
73 Correct 15 ms 3156 KB Output is correct
74 Correct 14 ms 3236 KB Output is correct
75 Correct 14 ms 3156 KB Output is correct
76 Correct 29 ms 3676 KB Output is correct
77 Correct 28 ms 3668 KB Output is correct
78 Correct 28 ms 3664 KB Output is correct
79 Correct 31 ms 3664 KB Output is correct
80 Correct 28 ms 3668 KB Output is correct
81 Correct 57 ms 4520 KB Output is correct
82 Correct 56 ms 4556 KB Output is correct
83 Correct 55 ms 4564 KB Output is correct
84 Correct 55 ms 4548 KB Output is correct
85 Correct 55 ms 4556 KB Output is correct
86 Correct 57 ms 4824 KB Output is correct
87 Correct 56 ms 4716 KB Output is correct
88 Correct 59 ms 4808 KB Output is correct
89 Correct 57 ms 4764 KB Output is correct
90 Correct 57 ms 4744 KB Output is correct
91 Correct 87 ms 7372 KB Output is correct
92 Correct 90 ms 7364 KB Output is correct
93 Correct 90 ms 7404 KB Output is correct
94 Correct 89 ms 7372 KB Output is correct
95 Correct 88 ms 7364 KB Output is correct
96 Correct 102 ms 9724 KB Output is correct
97 Correct 101 ms 9804 KB Output is correct
98 Correct 92 ms 9752 KB Output is correct
99 Correct 101 ms 9768 KB Output is correct
100 Correct 95 ms 9688 KB Output is correct
101 Correct 93 ms 9712 KB Output is correct
102 Correct 98 ms 9768 KB Output is correct
103 Correct 106 ms 9848 KB Output is correct
104 Correct 99 ms 9804 KB Output is correct
105 Correct 95 ms 9776 KB Output is correct
106 Correct 95 ms 10920 KB Output is correct
107 Correct 102 ms 10972 KB Output is correct
108 Correct 98 ms 10872 KB Output is correct
109 Correct 102 ms 10944 KB Output is correct
110 Correct 96 ms 10876 KB Output is correct
111 Correct 95 ms 10892 KB Output is correct
112 Correct 94 ms 10928 KB Output is correct
113 Correct 108 ms 11044 KB Output is correct
114 Correct 95 ms 10836 KB Output is correct
115 Correct 94 ms 10860 KB Output is correct
116 Correct 1722 ms 4812 KB Output is correct
117 Correct 1717 ms 4832 KB Output is correct
118 Correct 2535 ms 5276 KB Output is correct
119 Correct 2612 ms 5324 KB Output is correct
120 Correct 2654 ms 5352 KB Output is correct
121 Correct 5144 ms 5660 KB Output is correct
122 Correct 5338 ms 5708 KB Output is correct
123 Execution timed out 7090 ms 5944 KB Time limit exceeded
124 Halted 0 ms 0 KB -