oj.uz

Submission #696863

# Submission time Handle Problem Language Result Execution time Memory
696863 2023-02-07T12:57:41 Z cig32 Diversity (CEOI21_diversity) C++14
22 / 100
 7000 ms 6268 KB 
#pragma GCC optimize("Ofast")
#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[550];
void add1(int x, int v) {
  sum1all += v;
  for(;x<550;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[550];
void add2(int x, int v) {
  sum2all += v;
  for(;x<550;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) {
  int cal1 = sum1(i), cal2 = sum2(i);
  ans -= (cal1 - f[i]) * f[i] * i;
  ans += (cal2 - f[i] * (i-1)) * f[i];
  ans -= f[i] * (sum2all - cal2 + sum1all - cal1);
  ans += f[i] * (i-1) * (sum1all - cal1);
  add1(i, x-f[i]);
  add2(i, (x-f[i]) * (i-1));
  ans -= f[i] * (f[i] + 1) / 2;
  f[i] = x;
  ans += f[i] * (f[i] + 1) / 2;
  cal1 += x-f[i];
  cal2 += (x-f[i]) * (i-1);
  ans += (cal1 - f[i]) * f[i] * i;
  ans -= (cal2 - f[i] * (i-1)) * f[i];
  ans += f[i] * (sum2all - cal2 + sum1all - cal1);
  ans -= f[i] * (i-1) * (sum1all - cal1);
}
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 invrank = n - rank + 1;
      rank = 549 - invrank;
      int pos = (rank & 1 ? (rank + 1) / 2 : 549 - 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 invrank = n - rank + 1;
      rank = 549 - invrank;
      int pos = (rank & 1 ? (rank + 1) / 2 : 549 - 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 invrank = n - rank + 1;
      rank = 549 - invrank;
      int pos = (rank & 1 ? (rank + 1) / 2 : 549 - 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 invrank = n - rank + 1;
      rank = 549 - invrank;
      int pos = (rank & 1 ? (rank + 1) / 2 : 549 - 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 2 ms 2644 KB Output is correct
2 Correct 1 ms 2644 KB Output is correct
3 Correct 1 ms 2644 KB Output is correct
4 Correct 1 ms 2644 KB Output is correct
5 Correct 1 ms 2644 KB Output is correct
6 Correct 1 ms 2644 KB Output is correct
7 Correct 1 ms 2644 KB Output is correct
8 Correct 2 ms 2644 KB Output is correct
9 Correct 2 ms 2644 KB Output is correct
10 Correct 1 ms 2632 KB Output is correct

Subtask #2
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 2644 KB Output is correct
2 Correct 2 ms 2644 KB Output is correct
3 Correct 3 ms 2772 KB Output is correct
4 Correct 17 ms 3708 KB Output is correct
5 Correct 37 ms 4832 KB Output is correct
6 Correct 45 ms 5552 KB Output is correct
7 Correct 41 ms 6268 KB Output is correct
8 Correct 42 ms 5364 KB Output is correct
9 Correct 46 ms 5460 KB Output is correct
10 Correct 44 ms 5832 KB Output is correct
11 Correct 47 ms 5580 KB Output is correct
12 Correct 44 ms 5372 KB Output is correct
13 Correct 45 ms 5356 KB Output is correct
14 Correct 55 ms 5576 KB Output is correct
15 Correct 45 ms 5492 KB Output is correct

Subtask #3
8.0 / 8.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 2644 KB Output is correct
2 Correct 2 ms 2644 KB Output is correct
3 Correct 3 ms 2772 KB Output is correct
4 Correct 17 ms 3708 KB Output is correct
5 Correct 37 ms 4832 KB Output is correct
6 Correct 45 ms 5552 KB Output is correct
7 Correct 41 ms 6268 KB Output is correct
8 Correct 42 ms 5364 KB Output is correct
9 Correct 46 ms 5460 KB Output is correct
10 Correct 44 ms 5832 KB Output is correct
11 Correct 47 ms 5580 KB Output is correct
12 Correct 44 ms 5372 KB Output is correct
13 Correct 45 ms 5356 KB Output is correct
14 Correct 55 ms 5576 KB Output is correct
15 Correct 45 ms 5492 KB Output is correct
16 Correct 2 ms 2644 KB Output is correct
17 Correct 2 ms 2644 KB Output is correct
18 Correct 3 ms 2772 KB Output is correct
19 Correct 16 ms 3588 KB Output is correct
20 Correct 37 ms 4448 KB Output is correct
21 Correct 66 ms 5472 KB Output is correct
22 Correct 48 ms 5328 KB Output is correct
23 Correct 49 ms 5368 KB Output is correct
24 Correct 46 ms 5256 KB Output is correct
25 Correct 51 ms 5284 KB Output is correct
26 Correct 49 ms 5288 KB Output is correct
27 Correct 47 ms 5368 KB Output is correct
28 Correct 54 ms 5540 KB Output is correct
29 Correct 45 ms 5380 KB Output is correct
30 Correct 52 ms 5348 KB Output is correct

Subtask #4
0 / 16.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 2644 KB Output is correct
2 Correct 2 ms 2644 KB Output is correct
3 Correct 3 ms 2772 KB Output is correct
4 Correct 17 ms 3708 KB Output is correct
5 Correct 37 ms 4832 KB Output is correct
6 Correct 45 ms 5552 KB Output is correct
7 Correct 41 ms 6268 KB Output is correct
8 Correct 42 ms 5364 KB Output is correct
9 Correct 46 ms 5460 KB Output is correct
10 Correct 44 ms 5832 KB Output is correct
11 Correct 47 ms 5580 KB Output is correct
12 Correct 44 ms 5372 KB Output is correct
13 Correct 45 ms 5356 KB Output is correct
14 Correct 55 ms 5576 KB Output is correct
15 Correct 45 ms 5492 KB Output is correct
16 Correct 2 ms 2644 KB Output is correct
17 Correct 2 ms 2644 KB Output is correct
18 Correct 3 ms 2772 KB Output is correct
19 Correct 16 ms 3588 KB Output is correct
20 Correct 37 ms 4448 KB Output is correct
21 Correct 66 ms 5472 KB Output is correct
22 Correct 48 ms 5328 KB Output is correct
23 Correct 49 ms 5368 KB Output is correct
24 Correct 46 ms 5256 KB Output is correct
25 Correct 51 ms 5284 KB Output is correct
26 Correct 49 ms 5288 KB Output is correct
27 Correct 47 ms 5368 KB Output is correct
28 Correct 54 ms 5540 KB Output is correct
29 Correct 45 ms 5380 KB Output is correct
30 Correct 52 ms 5348 KB Output is correct
31 Correct 2 ms 2644 KB Output is correct
32 Correct 2 ms 2644 KB Output is correct
33 Correct 2 ms 2644 KB Output is correct
34 Correct 3 ms 2772 KB Output is correct
35 Correct 4 ms 2772 KB Output is correct
36 Execution timed out 7026 ms 2772 KB Time limit exceeded
37 Halted 0 ms 0 KB -

Subtask #5
0 / 26.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 2644 KB Output is correct
2 Correct 1 ms 2644 KB Output is correct
3 Correct 1 ms 2644 KB Output is correct
4 Correct 1 ms 2644 KB Output is correct
5 Correct 1 ms 2644 KB Output is correct
6 Correct 1 ms 2644 KB Output is correct
7 Correct 1 ms 2644 KB Output is correct
8 Correct 2 ms 2644 KB Output is correct
9 Correct 2 ms 2644 KB Output is correct
10 Correct 1 ms 2632 KB Output is correct
11 Correct 1 ms 2644 KB Output is correct
12 Correct 2 ms 2644 KB Output is correct
13 Correct 3 ms 2772 KB Output is correct
14 Correct 17 ms 3708 KB Output is correct
15 Correct 37 ms 4832 KB Output is correct
16 Correct 45 ms 5552 KB Output is correct
17 Correct 41 ms 6268 KB Output is correct
18 Correct 42 ms 5364 KB Output is correct
19 Correct 46 ms 5460 KB Output is correct
20 Correct 44 ms 5832 KB Output is correct
21 Correct 47 ms 5580 KB Output is correct
22 Correct 44 ms 5372 KB Output is correct
23 Correct 45 ms 5356 KB Output is correct
24 Correct 55 ms 5576 KB Output is correct
25 Correct 45 ms 5492 KB Output is correct
26 Correct 2 ms 2644 KB Output is correct
27 Correct 2 ms 2644 KB Output is correct
28 Correct 3 ms 2772 KB Output is correct
29 Correct 16 ms 3588 KB Output is correct
30 Correct 37 ms 4448 KB Output is correct
31 Correct 66 ms 5472 KB Output is correct
32 Correct 48 ms 5328 KB Output is correct
33 Correct 49 ms 5368 KB Output is correct
34 Correct 46 ms 5256 KB Output is correct
35 Correct 51 ms 5284 KB Output is correct
36 Correct 49 ms 5288 KB Output is correct
37 Correct 47 ms 5368 KB Output is correct
38 Correct 54 ms 5540 KB Output is correct
39 Correct 45 ms 5380 KB Output is correct
40 Correct 52 ms 5348 KB Output is correct
41 Correct 2 ms 2644 KB Output is correct
42 Correct 2 ms 2644 KB Output is correct
43 Correct 2 ms 2644 KB Output is correct
44 Correct 3 ms 2772 KB Output is correct
45 Correct 4 ms 2772 KB Output is correct
46 Execution timed out 7026 ms 2772 KB Time limit exceeded
47 Halted 0 ms 0 KB -

Subtask #6
0 / 36.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 2644 KB Output is correct
2 Correct 1 ms 2644 KB Output is correct
3 Correct 1 ms 2644 KB Output is correct
4 Correct 1 ms 2644 KB Output is correct
5 Correct 1 ms 2644 KB Output is correct
6 Correct 1 ms 2644 KB Output is correct
7 Correct 1 ms 2644 KB Output is correct
8 Correct 2 ms 2644 KB Output is correct
9 Correct 2 ms 2644 KB Output is correct
10 Correct 1 ms 2632 KB Output is correct
11 Correct 1 ms 2644 KB Output is correct
12 Correct 2 ms 2644 KB Output is correct
13 Correct 3 ms 2772 KB Output is correct
14 Correct 17 ms 3708 KB Output is correct
15 Correct 37 ms 4832 KB Output is correct
16 Correct 45 ms 5552 KB Output is correct
17 Correct 41 ms 6268 KB Output is correct
18 Correct 42 ms 5364 KB Output is correct
19 Correct 46 ms 5460 KB Output is correct
20 Correct 44 ms 5832 KB Output is correct
21 Correct 47 ms 5580 KB Output is correct
22 Correct 44 ms 5372 KB Output is correct
23 Correct 45 ms 5356 KB Output is correct
24 Correct 55 ms 5576 KB Output is correct
25 Correct 45 ms 5492 KB Output is correct
26 Correct 2 ms 2644 KB Output is correct
27 Correct 2 ms 2644 KB Output is correct
28 Correct 3 ms 2772 KB Output is correct
29 Correct 16 ms 3588 KB Output is correct
30 Correct 37 ms 4448 KB Output is correct
31 Correct 66 ms 5472 KB Output is correct
32 Correct 48 ms 5328 KB Output is correct
33 Correct 49 ms 5368 KB Output is correct
34 Correct 46 ms 5256 KB Output is correct
35 Correct 51 ms 5284 KB Output is correct
36 Correct 49 ms 5288 KB Output is correct
37 Correct 47 ms 5368 KB Output is correct
38 Correct 54 ms 5540 KB Output is correct
39 Correct 45 ms 5380 KB Output is correct
40 Correct 52 ms 5348 KB Output is correct
41 Correct 2 ms 2644 KB Output is correct
42 Correct 2 ms 2644 KB Output is correct
43 Correct 2 ms 2644 KB Output is correct
44 Correct 3 ms 2772 KB Output is correct
45 Correct 4 ms 2772 KB Output is correct
46 Execution timed out 7026 ms 2772 KB Time limit exceeded
47 Halted 0 ms 0 KB -