oj.uz

Submission #827615

# Submission time Handle Problem Language Result Execution time Memory
827615 2023-08-16T15:22:26 Z NeroZein Diversity (CEOI21_diversity) C++17
64 / 100
 7000 ms 6612 KB 
#include "bits/stdc++.h"
#define int long long
using namespace std;
 
#ifdef Nero
#include "Deb.h"
#else
#define deb(...)
#endif
 
const int N = 3e5 + 5;
 
int a[N]; 
int freq[N];
int cnt_freq[N];
long long prop_ps[N];
set<int> se; 
 
inline int64_t hilbertOrder(int x, int y, int pow, int rotate) {
  if (pow == 0) {
    return 0;
  }
  int hpow = 1 << (pow - 1);
  int seg = (x < hpow) ? ((y < hpow) ? 0 : 3) : ((y < hpow) ? 1 : 2);
  seg = (seg + rotate) & 3;
  const int rotateDelta[4] = {3, 0, 0, 1};
  int nx = x & (x ^ hpow), ny = y & (y ^ hpow);
  int nrot = (rotate + rotateDelta[seg]) & 3;
  int64_t subSquareSize = int64_t(1) << (2 * pow - 2);
  int64_t ans = seg * subSquareSize;
  int64_t add = hilbertOrder(nx, ny, pow - 1, nrot);
  ans += (seg == 1 || seg == 2) ? add : (subSquareSize - add - 1);
  return ans;
}
 
struct Query{
  int l, r, id; 
  int64_t ord;
  inline void calcOrder() {
    ord = hilbertOrder(l, r, 18, 0);
  }
};
 
inline bool operator<(const Query &x, const Query &y){
  return x.ord < y.ord;
}
 
void modify(int i, int v) {
  if (freq[a[i]]) {
    if (cnt_freq[freq[a[i]]] == 1) {
      se.erase(se.find(freq[a[i]]));    
    }
    cnt_freq[freq[a[i]]]--;
  }
  freq[a[i]] += v;
  if (freq[a[i]]) {
    cnt_freq[freq[a[i]]]++;
    if (cnt_freq[freq[a[i]]] == 1) {
      se.insert(freq[a[i]]);      
    }
  }
}
 
vector<pair<int, int>> construct() {
  vector<pair<int, int>> left;
  vector<pair<int, int>> right;
  bool go_left = true;
  for (auto i : se) {
    int x = cnt_freq[i] / 2;
    int y = cnt_freq[i] - x;
    if (cnt_freq[i] % 2 == 0) {
      left.push_back({i, x});
      right.push_back({i, x});
    } else {
      if (go_left) {
        left.push_back({i, y});
        if (x) {
          right.push_back({i, x});    
        }
      } else {
        if (x) {
          left.push_back({i, x});     
        }
        right.push_back({i, y}); 
      }
      go_left ^= 1;
    }
  }
  vector<pair<int, int>> ret = left; 
  reverse(right.begin(), right.end()); 
  for (auto [x, y] : right) {
    if (ret.back().first == x) {
      ret.back().second += y;
    } else {
      ret.push_back({x, y});      
    }
  }
  return ret;
}
 
long long prop(int x) {
  return (long long) x * (x + 1) / 2; 
}
 
long long get(vector<pair<int, int>> v) {
  long long last = 0;
  long long ret = 0; 
  long long without = 0; 
  long long normal_sum = 0;
  long long times_freq_sum = 0; 
  for (int i = (int) v.size() - 1; i >= 0; --i) {
    long long tmp = 0; 
    auto [element_freq, rep] = v[i];
    long long z = rep - 1; 
    tmp += element_freq * z * (z + 1) * (z + 2) / 6 * element_freq;
    tmp += last * element_freq * rep; 
    tmp += normal_sum * element_freq * rep * (rep + 1) / 2;
    last = (rep - 1) * rep / 2 * element_freq + last + normal_sum * rep;
    ret += tmp; 
    times_freq_sum += without * rep + prop(rep) * element_freq; 
    without += prop(rep) * element_freq;
    normal_sum += v[i].first * v[i].second; 
  }
  ret += prop(normal_sum); 
  return ret;
}
 
signed main() {
  ios::sync_with_stdio(false);
  cin.tie(nullptr);
  int n, q;
  cin >> n >> q;
  for (int i = 0; i < n; ++i) {
    cin >> a[i];
  }
  vector<Query> qs(q); 
  for (int i = 0; i < q; ++i) {
    int l, r;
    cin >> l >> r;
    --l, --r;
    qs[i].l = l, qs[i].r = r;
    qs[i].id = i;
    qs[i].calcOrder(); 
  }
  vector<long long> ans(q); 
  int l = 0, r = -1; 
  for (auto &pq : qs) {
    int ql = pq.l, qr = pq.r, id = pq.id;
    while (l > ql) modify(--l, 1);
    while (l < ql) modify(l++, -1);
    while (r < qr) modify(++r, 1);
    while (r > qr) modify(r--, -1); 
    vector<pair<int, int>> v = construct(); 
    ans[id] = get(v);
  }
  for (int i = 0; i < q; ++i) {
    cout << ans[i] << '\n';
  }
  return 0;
}

Subtask #1
4.0 / 4.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 340 KB Output is correct
2 Correct 0 ms 340 KB Output is correct
3 Correct 0 ms 340 KB Output is correct
4 Correct 1 ms 340 KB Output is correct
5 Correct 0 ms 340 KB Output is correct
6 Correct 0 ms 340 KB Output is correct
7 Correct 1 ms 340 KB Output is correct
8 Correct 1 ms 324 KB Output is correct
9 Correct 0 ms 328 KB Output is correct
10 Correct 0 ms 328 KB Output is correct

Subtask #2
10.0 / 10.0

# 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 2 ms 340 KB Output is correct
4 Correct 12 ms 1492 KB Output is correct
5 Correct 19 ms 2872 KB Output is correct
6 Correct 31 ms 3708 KB Output is correct
7 Correct 28 ms 4564 KB Output is correct
8 Correct 34 ms 3608 KB Output is correct
9 Correct 31 ms 3660 KB Output is correct
10 Correct 30 ms 4044 KB Output is correct
11 Correct 31 ms 3848 KB Output is correct
12 Correct 32 ms 3700 KB Output is correct
13 Correct 32 ms 3648 KB Output is correct
14 Correct 31 ms 3824 KB Output is correct
15 Correct 30 ms 3764 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 1 ms 340 KB Output is correct
3 Correct 2 ms 340 KB Output is correct
4 Correct 12 ms 1492 KB Output is correct
5 Correct 19 ms 2872 KB Output is correct
6 Correct 31 ms 3708 KB Output is correct
7 Correct 28 ms 4564 KB Output is correct
8 Correct 34 ms 3608 KB Output is correct
9 Correct 31 ms 3660 KB Output is correct
10 Correct 30 ms 4044 KB Output is correct
11 Correct 31 ms 3848 KB Output is correct
12 Correct 32 ms 3700 KB Output is correct
13 Correct 32 ms 3648 KB Output is correct
14 Correct 31 ms 3824 KB Output is correct
15 Correct 30 ms 3764 KB Output is correct
16 Correct 1 ms 340 KB Output is correct
17 Correct 1 ms 340 KB Output is correct
18 Correct 2 ms 500 KB Output is correct
19 Correct 12 ms 1492 KB Output is correct
20 Correct 24 ms 2636 KB Output is correct
21 Correct 36 ms 3916 KB Output is correct
22 Correct 37 ms 3700 KB Output is correct
23 Correct 36 ms 3796 KB Output is correct
24 Correct 37 ms 3696 KB Output is correct
25 Correct 36 ms 3768 KB Output is correct
26 Correct 37 ms 3624 KB Output is correct
27 Correct 36 ms 3772 KB Output is correct
28 Correct 35 ms 3936 KB Output is correct
29 Correct 39 ms 3712 KB Output is correct
30 Correct 38 ms 3780 KB Output is correct

Subtask #4
16.0 / 16.0

# 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 2 ms 340 KB Output is correct
4 Correct 12 ms 1492 KB Output is correct
5 Correct 19 ms 2872 KB Output is correct
6 Correct 31 ms 3708 KB Output is correct
7 Correct 28 ms 4564 KB Output is correct
8 Correct 34 ms 3608 KB Output is correct
9 Correct 31 ms 3660 KB Output is correct
10 Correct 30 ms 4044 KB Output is correct
11 Correct 31 ms 3848 KB Output is correct
12 Correct 32 ms 3700 KB Output is correct
13 Correct 32 ms 3648 KB Output is correct
14 Correct 31 ms 3824 KB Output is correct
15 Correct 30 ms 3764 KB Output is correct
16 Correct 1 ms 340 KB Output is correct
17 Correct 1 ms 340 KB Output is correct
18 Correct 2 ms 500 KB Output is correct
19 Correct 12 ms 1492 KB Output is correct
20 Correct 24 ms 2636 KB Output is correct
21 Correct 36 ms 3916 KB Output is correct
22 Correct 37 ms 3700 KB Output is correct
23 Correct 36 ms 3796 KB Output is correct
24 Correct 37 ms 3696 KB Output is correct
25 Correct 36 ms 3768 KB Output is correct
26 Correct 37 ms 3624 KB Output is correct
27 Correct 36 ms 3772 KB Output is correct
28 Correct 35 ms 3936 KB Output is correct
29 Correct 39 ms 3712 KB Output is correct
30 Correct 38 ms 3780 KB Output is correct
31 Correct 1 ms 340 KB Output is correct
32 Correct 0 ms 340 KB Output is correct
33 Correct 1 ms 340 KB Output is correct
34 Correct 2 ms 468 KB Output is correct
35 Correct 1 ms 468 KB Output is correct
36 Correct 1 ms 468 KB Output is correct
37 Correct 5 ms 852 KB Output is correct
38 Correct 5 ms 980 KB Output is correct
39 Correct 8 ms 1492 KB Output is correct
40 Correct 18 ms 2752 KB Output is correct
41 Correct 30 ms 3876 KB Output is correct
42 Correct 30 ms 3864 KB Output is correct
43 Correct 35 ms 3984 KB Output is correct
44 Correct 30 ms 3916 KB Output is correct
45 Correct 30 ms 3860 KB Output is correct
46 Correct 35 ms 3856 KB Output is correct
47 Correct 34 ms 3920 KB Output is correct
48 Correct 30 ms 3924 KB Output is correct
49 Correct 29 ms 3788 KB Output is correct
50 Correct 30 ms 3856 KB Output is correct
51 Correct 30 ms 3972 KB Output is correct
52 Correct 29 ms 3868 KB Output is correct
53 Correct 30 ms 3864 KB Output is correct
54 Correct 30 ms 3892 KB Output is correct
55 Correct 30 ms 3920 KB Output is correct
56 Correct 30 ms 3856 KB Output is correct
57 Correct 29 ms 3848 KB Output is correct
58 Correct 29 ms 3852 KB Output is correct
59 Correct 37 ms 3908 KB Output is correct
60 Correct 30 ms 3796 KB Output is correct

Subtask #5
26.0 / 26.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 340 KB Output is correct
2 Correct 0 ms 340 KB Output is correct
3 Correct 0 ms 340 KB Output is correct
4 Correct 1 ms 340 KB Output is correct
5 Correct 0 ms 340 KB Output is correct
6 Correct 0 ms 340 KB Output is correct
7 Correct 1 ms 340 KB Output is correct
8 Correct 1 ms 324 KB Output is correct
9 Correct 0 ms 328 KB Output is correct
10 Correct 0 ms 328 KB Output is correct
11 Correct 1 ms 340 KB Output is correct
12 Correct 1 ms 340 KB Output is correct
13 Correct 2 ms 340 KB Output is correct
14 Correct 12 ms 1492 KB Output is correct
15 Correct 19 ms 2872 KB Output is correct
16 Correct 31 ms 3708 KB Output is correct
17 Correct 28 ms 4564 KB Output is correct
18 Correct 34 ms 3608 KB Output is correct
19 Correct 31 ms 3660 KB Output is correct
20 Correct 30 ms 4044 KB Output is correct
21 Correct 31 ms 3848 KB Output is correct
22 Correct 32 ms 3700 KB Output is correct
23 Correct 32 ms 3648 KB Output is correct
24 Correct 31 ms 3824 KB Output is correct
25 Correct 30 ms 3764 KB Output is correct
26 Correct 1 ms 340 KB Output is correct
27 Correct 1 ms 340 KB Output is correct
28 Correct 2 ms 500 KB Output is correct
29 Correct 12 ms 1492 KB Output is correct
30 Correct 24 ms 2636 KB Output is correct
31 Correct 36 ms 3916 KB Output is correct
32 Correct 37 ms 3700 KB Output is correct
33 Correct 36 ms 3796 KB Output is correct
34 Correct 37 ms 3696 KB Output is correct
35 Correct 36 ms 3768 KB Output is correct
36 Correct 37 ms 3624 KB Output is correct
37 Correct 36 ms 3772 KB Output is correct
38 Correct 35 ms 3936 KB Output is correct
39 Correct 39 ms 3712 KB Output is correct
40 Correct 38 ms 3780 KB Output is correct
41 Correct 1 ms 340 KB Output is correct
42 Correct 0 ms 340 KB Output is correct
43 Correct 1 ms 340 KB Output is correct
44 Correct 2 ms 468 KB Output is correct
45 Correct 1 ms 468 KB Output is correct
46 Correct 1 ms 468 KB Output is correct
47 Correct 5 ms 852 KB Output is correct
48 Correct 5 ms 980 KB Output is correct
49 Correct 8 ms 1492 KB Output is correct
50 Correct 18 ms 2752 KB Output is correct
51 Correct 30 ms 3876 KB Output is correct
52 Correct 30 ms 3864 KB Output is correct
53 Correct 35 ms 3984 KB Output is correct
54 Correct 30 ms 3916 KB Output is correct
55 Correct 30 ms 3860 KB Output is correct
56 Correct 35 ms 3856 KB Output is correct
57 Correct 34 ms 3920 KB Output is correct
58 Correct 30 ms 3924 KB Output is correct
59 Correct 29 ms 3788 KB Output is correct
60 Correct 30 ms 3856 KB Output is correct
61 Correct 30 ms 3972 KB Output is correct
62 Correct 29 ms 3868 KB Output is correct
63 Correct 30 ms 3864 KB Output is correct
64 Correct 30 ms 3892 KB Output is correct
65 Correct 30 ms 3920 KB Output is correct
66 Correct 30 ms 3856 KB Output is correct
67 Correct 29 ms 3848 KB Output is correct
68 Correct 29 ms 3852 KB Output is correct
69 Correct 37 ms 3908 KB Output is correct
70 Correct 30 ms 3796 KB Output is correct
71 Correct 4 ms 980 KB Output is correct
72 Correct 4 ms 980 KB Output is correct
73 Correct 4 ms 980 KB Output is correct
74 Correct 4 ms 980 KB Output is correct
75 Correct 3 ms 980 KB Output is correct
76 Correct 7 ms 1620 KB Output is correct
77 Correct 6 ms 1644 KB Output is correct
78 Correct 6 ms 1620 KB Output is correct
79 Correct 6 ms 1580 KB Output is correct
80 Correct 6 ms 1620 KB Output is correct
81 Correct 12 ms 2896 KB Output is correct
82 Correct 12 ms 2844 KB Output is correct
83 Correct 12 ms 2900 KB Output is correct
84 Correct 13 ms 2900 KB Output is correct
85 Correct 12 ms 2932 KB Output is correct
86 Correct 13 ms 3028 KB Output is correct
87 Correct 14 ms 3016 KB Output is correct
88 Correct 13 ms 3072 KB Output is correct
89 Correct 15 ms 3032 KB Output is correct
90 Correct 14 ms 3028 KB Output is correct
91 Correct 21 ms 5132 KB Output is correct
92 Correct 21 ms 5156 KB Output is correct
93 Correct 27 ms 5080 KB Output is correct
94 Correct 21 ms 5072 KB Output is correct
95 Correct 20 ms 5116 KB Output is correct
96 Correct 24 ms 6028 KB Output is correct
97 Correct 24 ms 6040 KB Output is correct
98 Correct 23 ms 6100 KB Output is correct
99 Correct 24 ms 6032 KB Output is correct
100 Correct 24 ms 6092 KB Output is correct
101 Correct 25 ms 6040 KB Output is correct
102 Correct 25 ms 6020 KB Output is correct
103 Correct 30 ms 6084 KB Output is correct
104 Correct 23 ms 6040 KB Output is correct
105 Correct 24 ms 6004 KB Output is correct
106 Correct 22 ms 6548 KB Output is correct
107 Correct 23 ms 6480 KB Output is correct
108 Correct 24 ms 6476 KB Output is correct
109 Correct 23 ms 6540 KB Output is correct
110 Correct 23 ms 6612 KB Output is correct
111 Correct 23 ms 6476 KB Output is correct
112 Correct 26 ms 6496 KB Output is correct
113 Correct 27 ms 6532 KB Output is correct
114 Correct 23 ms 6496 KB Output is correct
115 Correct 23 ms 6472 KB Output is correct

Subtask #6
0 / 36.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 340 KB Output is correct
2 Correct 0 ms 340 KB Output is correct
3 Correct 0 ms 340 KB Output is correct
4 Correct 1 ms 340 KB Output is correct
5 Correct 0 ms 340 KB Output is correct
6 Correct 0 ms 340 KB Output is correct
7 Correct 1 ms 340 KB Output is correct
8 Correct 1 ms 324 KB Output is correct
9 Correct 0 ms 328 KB Output is correct
10 Correct 0 ms 328 KB Output is correct
11 Correct 1 ms 340 KB Output is correct
12 Correct 1 ms 340 KB Output is correct
13 Correct 2 ms 340 KB Output is correct
14 Correct 12 ms 1492 KB Output is correct
15 Correct 19 ms 2872 KB Output is correct
16 Correct 31 ms 3708 KB Output is correct
17 Correct 28 ms 4564 KB Output is correct
18 Correct 34 ms 3608 KB Output is correct
19 Correct 31 ms 3660 KB Output is correct
20 Correct 30 ms 4044 KB Output is correct
21 Correct 31 ms 3848 KB Output is correct
22 Correct 32 ms 3700 KB Output is correct
23 Correct 32 ms 3648 KB Output is correct
24 Correct 31 ms 3824 KB Output is correct
25 Correct 30 ms 3764 KB Output is correct
26 Correct 1 ms 340 KB Output is correct
27 Correct 1 ms 340 KB Output is correct
28 Correct 2 ms 500 KB Output is correct
29 Correct 12 ms 1492 KB Output is correct
30 Correct 24 ms 2636 KB Output is correct
31 Correct 36 ms 3916 KB Output is correct
32 Correct 37 ms 3700 KB Output is correct
33 Correct 36 ms 3796 KB Output is correct
34 Correct 37 ms 3696 KB Output is correct
35 Correct 36 ms 3768 KB Output is correct
36 Correct 37 ms 3624 KB Output is correct
37 Correct 36 ms 3772 KB Output is correct
38 Correct 35 ms 3936 KB Output is correct
39 Correct 39 ms 3712 KB Output is correct
40 Correct 38 ms 3780 KB Output is correct
41 Correct 1 ms 340 KB Output is correct
42 Correct 0 ms 340 KB Output is correct
43 Correct 1 ms 340 KB Output is correct
44 Correct 2 ms 468 KB Output is correct
45 Correct 1 ms 468 KB Output is correct
46 Correct 1 ms 468 KB Output is correct
47 Correct 5 ms 852 KB Output is correct
48 Correct 5 ms 980 KB Output is correct
49 Correct 8 ms 1492 KB Output is correct
50 Correct 18 ms 2752 KB Output is correct
51 Correct 30 ms 3876 KB Output is correct
52 Correct 30 ms 3864 KB Output is correct
53 Correct 35 ms 3984 KB Output is correct
54 Correct 30 ms 3916 KB Output is correct
55 Correct 30 ms 3860 KB Output is correct
56 Correct 35 ms 3856 KB Output is correct
57 Correct 34 ms 3920 KB Output is correct
58 Correct 30 ms 3924 KB Output is correct
59 Correct 29 ms 3788 KB Output is correct
60 Correct 30 ms 3856 KB Output is correct
61 Correct 30 ms 3972 KB Output is correct
62 Correct 29 ms 3868 KB Output is correct
63 Correct 30 ms 3864 KB Output is correct
64 Correct 30 ms 3892 KB Output is correct
65 Correct 30 ms 3920 KB Output is correct
66 Correct 30 ms 3856 KB Output is correct
67 Correct 29 ms 3848 KB Output is correct
68 Correct 29 ms 3852 KB Output is correct
69 Correct 37 ms 3908 KB Output is correct
70 Correct 30 ms 3796 KB Output is correct
71 Correct 4 ms 980 KB Output is correct
72 Correct 4 ms 980 KB Output is correct
73 Correct 4 ms 980 KB Output is correct
74 Correct 4 ms 980 KB Output is correct
75 Correct 3 ms 980 KB Output is correct
76 Correct 7 ms 1620 KB Output is correct
77 Correct 6 ms 1644 KB Output is correct
78 Correct 6 ms 1620 KB Output is correct
79 Correct 6 ms 1580 KB Output is correct
80 Correct 6 ms 1620 KB Output is correct
81 Correct 12 ms 2896 KB Output is correct
82 Correct 12 ms 2844 KB Output is correct
83 Correct 12 ms 2900 KB Output is correct
84 Correct 13 ms 2900 KB Output is correct
85 Correct 12 ms 2932 KB Output is correct
86 Correct 13 ms 3028 KB Output is correct
87 Correct 14 ms 3016 KB Output is correct
88 Correct 13 ms 3072 KB Output is correct
89 Correct 15 ms 3032 KB Output is correct
90 Correct 14 ms 3028 KB Output is correct
91 Correct 21 ms 5132 KB Output is correct
92 Correct 21 ms 5156 KB Output is correct
93 Correct 27 ms 5080 KB Output is correct
94 Correct 21 ms 5072 KB Output is correct
95 Correct 20 ms 5116 KB Output is correct
96 Correct 24 ms 6028 KB Output is correct
97 Correct 24 ms 6040 KB Output is correct
98 Correct 23 ms 6100 KB Output is correct
99 Correct 24 ms 6032 KB Output is correct
100 Correct 24 ms 6092 KB Output is correct
101 Correct 25 ms 6040 KB Output is correct
102 Correct 25 ms 6020 KB Output is correct
103 Correct 30 ms 6084 KB Output is correct
104 Correct 23 ms 6040 KB Output is correct
105 Correct 24 ms 6004 KB Output is correct
106 Correct 22 ms 6548 KB Output is correct
107 Correct 23 ms 6480 KB Output is correct
108 Correct 24 ms 6476 KB Output is correct
109 Correct 23 ms 6540 KB Output is correct
110 Correct 23 ms 6612 KB Output is correct
111 Correct 23 ms 6476 KB Output is correct
112 Correct 26 ms 6496 KB Output is correct
113 Correct 27 ms 6532 KB Output is correct
114 Correct 23 ms 6496 KB Output is correct
115 Correct 23 ms 6472 KB Output is correct
116 Execution timed out 7045 ms 2932 KB Time limit exceeded
117 Halted 0 ms 0 KB -