oj.uz

Submission #696690

# Submission time Handle Problem Language Result Execution time Memory
696690 2023-02-07T04:04:42 Z cig32 Diversity (CEOI21_diversity) C++17
18 / 100
 52 ms 3856 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
  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 = r-l+1;
    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 212 KB Output is correct
2 Correct 0 ms 212 KB Output is correct
3 Correct 1 ms 212 KB Output is correct
4 Correct 0 ms 212 KB Output is correct
5 Correct 1 ms 212 KB Output is correct
6 Correct 0 ms 212 KB Output is correct
7 Incorrect 0 ms 212 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 0 ms 212 KB Output is correct
2 Correct 0 ms 340 KB Output is correct
3 Correct 2 ms 340 KB Output is correct
4 Correct 13 ms 1236 KB Output is correct
5 Correct 26 ms 2396 KB Output is correct
6 Correct 41 ms 3072 KB Output is correct
7 Correct 36 ms 3856 KB Output is correct
8 Correct 41 ms 3052 KB Output is correct
9 Correct 45 ms 3084 KB Output is correct
10 Correct 41 ms 3432 KB Output is correct
11 Correct 40 ms 3148 KB Output is correct
12 Correct 40 ms 2980 KB Output is correct
13 Correct 40 ms 2980 KB Output is correct
14 Correct 39 ms 3276 KB Output is correct
15 Correct 39 ms 3156 KB Output is correct

Subtask #3
8.0 / 8.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 212 KB Output is correct
2 Correct 0 ms 340 KB Output is correct
3 Correct 2 ms 340 KB Output is correct
4 Correct 13 ms 1236 KB Output is correct
5 Correct 26 ms 2396 KB Output is correct
6 Correct 41 ms 3072 KB Output is correct
7 Correct 36 ms 3856 KB Output is correct
8 Correct 41 ms 3052 KB Output is correct
9 Correct 45 ms 3084 KB Output is correct
10 Correct 41 ms 3432 KB Output is correct
11 Correct 40 ms 3148 KB Output is correct
12 Correct 40 ms 2980 KB Output is correct
13 Correct 40 ms 2980 KB Output is correct
14 Correct 39 ms 3276 KB Output is correct
15 Correct 39 ms 3156 KB Output is correct
16 Correct 1 ms 212 KB Output is correct
17 Correct 0 ms 340 KB Output is correct
18 Correct 2 ms 340 KB Output is correct
19 Correct 15 ms 1212 KB Output is correct
20 Correct 37 ms 2220 KB Output is correct
21 Correct 45 ms 3020 KB Output is correct
22 Correct 46 ms 2912 KB Output is correct
23 Correct 45 ms 3020 KB Output is correct
24 Correct 47 ms 2836 KB Output is correct
25 Correct 46 ms 2892 KB Output is correct
26 Correct 46 ms 2856 KB Output is correct
27 Correct 52 ms 2956 KB Output is correct
28 Correct 45 ms 3276 KB Output is correct
29 Correct 45 ms 2928 KB Output is correct
30 Correct 51 ms 2992 KB Output is correct

Subtask #4
0 / 16.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 212 KB Output is correct
2 Correct 0 ms 340 KB Output is correct
3 Correct 2 ms 340 KB Output is correct
4 Correct 13 ms 1236 KB Output is correct
5 Correct 26 ms 2396 KB Output is correct
6 Correct 41 ms 3072 KB Output is correct
7 Correct 36 ms 3856 KB Output is correct
8 Correct 41 ms 3052 KB Output is correct
9 Correct 45 ms 3084 KB Output is correct
10 Correct 41 ms 3432 KB Output is correct
11 Correct 40 ms 3148 KB Output is correct
12 Correct 40 ms 2980 KB Output is correct
13 Correct 40 ms 2980 KB Output is correct
14 Correct 39 ms 3276 KB Output is correct
15 Correct 39 ms 3156 KB Output is correct
16 Correct 1 ms 212 KB Output is correct
17 Correct 0 ms 340 KB Output is correct
18 Correct 2 ms 340 KB Output is correct
19 Correct 15 ms 1212 KB Output is correct
20 Correct 37 ms 2220 KB Output is correct
21 Correct 45 ms 3020 KB Output is correct
22 Correct 46 ms 2912 KB Output is correct
23 Correct 45 ms 3020 KB Output is correct
24 Correct 47 ms 2836 KB Output is correct
25 Correct 46 ms 2892 KB Output is correct
26 Correct 46 ms 2856 KB Output is correct
27 Correct 52 ms 2956 KB Output is correct
28 Correct 45 ms 3276 KB Output is correct
29 Correct 45 ms 2928 KB Output is correct
30 Correct 51 ms 2992 KB Output is correct
31 Correct 1 ms 340 KB Output is correct
32 Incorrect 0 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 212 KB Output is correct
2 Correct 0 ms 212 KB Output is correct
3 Correct 1 ms 212 KB Output is correct
4 Correct 0 ms 212 KB Output is correct
5 Correct 1 ms 212 KB Output is correct
6 Correct 0 ms 212 KB Output is correct
7 Incorrect 0 ms 212 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 212 KB Output is correct
2 Correct 0 ms 212 KB Output is correct
3 Correct 1 ms 212 KB Output is correct
4 Correct 0 ms 212 KB Output is correct
5 Correct 1 ms 212 KB Output is correct
6 Correct 0 ms 212 KB Output is correct
7 Incorrect 0 ms 212 KB Output isn't correct
8 Halted 0 ms 0 KB -