oj.uz

Submission #696685

# Submission time Handle Problem Language Result Execution time Memory
696685 2023-02-07T03:54:22 Z cig32 Diversity (CEOI21_diversity) C++17
18 / 100
 130 ms 4536 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 freq[MAXN], ff[MAXN], n;

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;
}

bool byfreq(int x, int y) {
  return freq[x] < freq[y];
}
void solve(int tc) {
  int q;
  cin >> n >> q;
  int c = 300000;
  block = ceil(sqrt(n));
  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;
  vector<int> v;
  // O(sqrt(n)) frequencies
  set<int> all; // set of all frequencies
  ff[0] = n;
  all.insert(0);
  for(int i=1; i<=q; i++) {
    while(l > qry[i].first.first) {
      l--;
      ff[freq[arr[l]]]--;
      if(ff[freq[arr[l]]] == 0) all.erase(freq[arr[l]]);
      freq[arr[l]]++;
      ff[freq[arr[l]]]++;
      if(ff[freq[arr[l]]] == 1) all.insert(freq[arr[l]]);
    }
    while(r > qry[i].first.second) {
      ff[freq[arr[r]]]--;
      if(ff[freq[arr[r]]] == 0) all.erase(freq[arr[r]]);
      freq[arr[r]]--;
      ff[freq[arr[r]]]++;
      if(ff[freq[arr[r]]] == 1) all.insert(freq[arr[r]]);
      r--;
    }
    while(r < qry[i].first.second) {
      r++;
      ff[freq[arr[r]]]--;
      if(ff[freq[arr[r]]] == 0) all.erase(freq[arr[r]]);
      freq[arr[r]]++;
      ff[freq[arr[r]]]++;
      if(ff[freq[arr[r]]] == 1) all.insert(freq[arr[r]]);
    }
    while(l < qry[i].first.first) {
      ff[freq[arr[l]]]--;
      if(ff[freq[arr[l]]] == 0) all.erase(freq[arr[l]]);
      freq[arr[l]]--;
      ff[freq[arr[l]]]++;
      if(ff[freq[arr[l]]] == 1) all.insert(freq[arr[l]]);
      l++;
    }
    
    queue<pair<int, int> > ln; stack<pair<int, int> > rn;
    int m = 0;
    int fin = *all.rbegin();
    for(int x: all) {
      // {x, ff[x]}
      if(x == fin) {
        ln.push({x, ff[x]});
        m++;
        continue;
      }
      if(ff[x] / 2 > 0) {
        ln.push({x, ff[x] / 2});
        rn.push({x, ff[x] / 2});
        m += 2;
      }
      if(ff[x] % 2) {
        if(ln.size() > rn.size()) rn.push({x, 1});
        else ln.push({x, 1});
        m++;
      }
    }
    pair<int, int> b[m];
    int it = 0;
    while(ln.size()) {
      b[it++] = ln.front(); ln.pop();
    }
    while(rn.size()) {
      b[it++] = rn.top(); rn.pop();
    }
    int ans = 0;
    int ws=0,rs=0;
    int cur = n;
    for(int i=m-1; i>=0; i--) {
      int cnt = b[i].second;
      int val = b[i].first;
      ans += val * ws * cnt + val * val * ((cur - 1) + (cur - cnt + 1)) * (cnt - 1) / 2;
      ans -= val * cnt * cur * rs;
      ans -= val * cur * val * cnt * (cnt - 1) / 2;
      ans += val * rs * (2 + cnt + 1) * cnt / 2;
      ans += val * val * (cnt * (cnt + 1) * (2 * cnt + 1) / 6 - cnt);
      ws += val * ((cur - 1) + (cur - cnt)) * cnt / 2;
      rs += val * cnt;
      cur -= cnt;
    }
    for(int i=0; i<m; i++) ans += b[i].first * (b[i].first + 1) / 2 * b[i].second;
    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);
}

Compilation message

diversity.cpp: In function 'void solve(long long int)':
diversity.cpp:38:7: warning: unused variable 'c' [-Wunused-variable]
   38 |   int c = 300000;
      |       ^

Subtask #1
0 / 4.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 340 KB Output is correct
2 Correct 1 ms 340 KB Output is correct
3 Correct 1 ms 328 KB Output is correct
4 Correct 1 ms 328 KB Output is correct
5 Correct 1 ms 340 KB Output is correct
6 Correct 1 ms 212 KB Output is correct
7 Incorrect 1 ms 332 KB Output isn't correct
8 Halted 0 ms 0 KB -

Subtask #2
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 340 KB Output is correct
2 Correct 2 ms 340 KB Output is correct
3 Correct 3 ms 348 KB Output is correct
4 Correct 37 ms 1508 KB Output is correct
5 Correct 27 ms 2872 KB Output is correct
6 Correct 46 ms 3660 KB Output is correct
7 Correct 44 ms 4536 KB Output is correct
8 Correct 44 ms 3672 KB Output is correct
9 Correct 45 ms 3664 KB Output is correct
10 Correct 43 ms 4040 KB Output is correct
11 Correct 42 ms 3776 KB Output is correct
12 Correct 43 ms 3616 KB Output is correct
13 Correct 56 ms 3696 KB Output is correct
14 Correct 42 ms 3916 KB Output is correct
15 Correct 67 ms 3804 KB Output is correct

Subtask #3
8.0 / 8.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 340 KB Output is correct
2 Correct 2 ms 340 KB Output is correct
3 Correct 3 ms 348 KB Output is correct
4 Correct 37 ms 1508 KB Output is correct
5 Correct 27 ms 2872 KB Output is correct
6 Correct 46 ms 3660 KB Output is correct
7 Correct 44 ms 4536 KB Output is correct
8 Correct 44 ms 3672 KB Output is correct
9 Correct 45 ms 3664 KB Output is correct
10 Correct 43 ms 4040 KB Output is correct
11 Correct 42 ms 3776 KB Output is correct
12 Correct 43 ms 3616 KB Output is correct
13 Correct 56 ms 3696 KB Output is correct
14 Correct 42 ms 3916 KB Output is correct
15 Correct 67 ms 3804 KB Output is correct
16 Correct 1 ms 332 KB Output is correct
17 Correct 1 ms 340 KB Output is correct
18 Correct 2 ms 340 KB Output is correct
19 Correct 16 ms 1468 KB Output is correct
20 Correct 36 ms 2608 KB Output is correct
21 Correct 48 ms 3716 KB Output is correct
22 Correct 71 ms 3548 KB Output is correct
23 Correct 49 ms 3684 KB Output is correct
24 Correct 51 ms 3548 KB Output is correct
25 Correct 130 ms 3640 KB Output is correct
26 Correct 50 ms 3592 KB Output is correct
27 Correct 51 ms 3616 KB Output is correct
28 Correct 52 ms 3924 KB Output is correct
29 Correct 62 ms 3588 KB Output is correct
30 Correct 50 ms 3564 KB Output is correct

Subtask #4
0 / 16.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 340 KB Output is correct
2 Correct 2 ms 340 KB Output is correct
3 Correct 3 ms 348 KB Output is correct
4 Correct 37 ms 1508 KB Output is correct
5 Correct 27 ms 2872 KB Output is correct
6 Correct 46 ms 3660 KB Output is correct
7 Correct 44 ms 4536 KB Output is correct
8 Correct 44 ms 3672 KB Output is correct
9 Correct 45 ms 3664 KB Output is correct
10 Correct 43 ms 4040 KB Output is correct
11 Correct 42 ms 3776 KB Output is correct
12 Correct 43 ms 3616 KB Output is correct
13 Correct 56 ms 3696 KB Output is correct
14 Correct 42 ms 3916 KB Output is correct
15 Correct 67 ms 3804 KB Output is correct
16 Correct 1 ms 332 KB Output is correct
17 Correct 1 ms 340 KB Output is correct
18 Correct 2 ms 340 KB Output is correct
19 Correct 16 ms 1468 KB Output is correct
20 Correct 36 ms 2608 KB Output is correct
21 Correct 48 ms 3716 KB Output is correct
22 Correct 71 ms 3548 KB Output is correct
23 Correct 49 ms 3684 KB Output is correct
24 Correct 51 ms 3548 KB Output is correct
25 Correct 130 ms 3640 KB Output is correct
26 Correct 50 ms 3592 KB Output is correct
27 Correct 51 ms 3616 KB Output is correct
28 Correct 52 ms 3924 KB Output is correct
29 Correct 62 ms 3588 KB Output is correct
30 Correct 50 ms 3564 KB Output is correct
31 Correct 1 ms 340 KB Output is correct
32 Incorrect 1 ms 340 KB Output isn't correct
33 Halted 0 ms 0 KB -

Subtask #5
0 / 26.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 340 KB Output is correct
2 Correct 1 ms 340 KB Output is correct
3 Correct 1 ms 328 KB Output is correct
4 Correct 1 ms 328 KB Output is correct
5 Correct 1 ms 340 KB Output is correct
6 Correct 1 ms 212 KB Output is correct
7 Incorrect 1 ms 332 KB Output isn't correct
8 Halted 0 ms 0 KB -

Subtask #6
0 / 36.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 340 KB Output is correct
2 Correct 1 ms 340 KB Output is correct
3 Correct 1 ms 328 KB Output is correct
4 Correct 1 ms 328 KB Output is correct
5 Correct 1 ms 340 KB Output is correct
6 Correct 1 ms 212 KB Output is correct
7 Incorrect 1 ms 332 KB Output isn't correct
8 Halted 0 ms 0 KB -