oj.uz

Submission #827666

# Submission time Handle Problem Language Result Execution time Memory
827666 2023-08-16T16:11:21 Z NeroZein Diversity (CEOI21_diversity) C++17
64 / 100
 7000 ms 6608 KB 
#include "bits/stdc++.h"
#define int long long
using namespace std;
 
#ifdef Nero
#include "Deb.h"
#else
#define deb(...)
#endif

const int B = 450;
const int N = 3e5 + 5;
 
int a[N]; 
int res[N]; 
int freq[N];
int tot_freq[N];
int cnt_freq[B + 1];
vector<int> large_vals;
 
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;
}
 
inline void modify(int i, int v) {
  if (freq[a[i]] && tot_freq[a[i]] <= B) {
    cnt_freq[freq[a[i]]]--;
  }
  freq[a[i]] += v;
  if (freq[a[i]] && tot_freq[a[i]] <= B) {
    cnt_freq[freq[a[i]]]++;
  } 
}
 
inline vector<pair<int, int>> construct() {
  vector<pair<int, int>> left;
  vector<pair<int, int>> right;
  bool go_left = true;
  vector<pair<int, int>> xz;
  for (int i = 1; i <= B; ++i) {
    if (cnt_freq[i]) {
      xz.push_back({i, cnt_freq[i]}); 
    }
  }
  for (int i : large_vals) {
    if (freq[i]) {
      xz.push_back({freq[i], 1}); 
    }
  }
  sort(xz.begin(), xz.end());
  for (auto [i, z] : xz) {
    int x = z / 2;
    int y = z - x;
    if ((x + y) % 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 ret = 0; 
  long long last = 0;
  long long normal_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 += (long long) 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 = (long long) (rep - 1) * rep / 2 * element_freq + last + normal_sum * rep;
    ret += tmp; 
    normal_sum += (long long) 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];
    tot_freq[a[i]]++; 
  }
  for (int i = 1; i < N; ++i) {
    if (tot_freq[i] > B) {
      large_vals.push_back(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(); 
  }
  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 (r < qr) modify(++r, 1);
    while (l < ql) modify(l++, -1);
    while (r > qr) modify(r--, -1); 
    vector<pair<int, int>> v = construct(); 
    res[id] = get(v);
  }
  for (int i = 0; i < q; ++i) {
    cout << res[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 1 ms 340 KB Output is correct
3 Correct 1 ms 340 KB Output is correct
4 Correct 1 ms 340 KB Output is correct
5 Correct 1 ms 340 KB Output is correct
6 Correct 1 ms 340 KB Output is correct
7 Correct 1 ms 340 KB Output is correct
8 Correct 1 ms 340 KB Output is correct
9 Correct 1 ms 340 KB Output is correct
10 Correct 1 ms 340 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 1 ms 340 KB Output is correct
4 Correct 5 ms 1108 KB Output is correct
5 Correct 9 ms 1876 KB Output is correct
6 Correct 14 ms 2628 KB Output is correct
7 Correct 13 ms 2580 KB Output is correct
8 Correct 13 ms 2592 KB Output is correct
9 Correct 13 ms 2580 KB Output is correct
10 Correct 16 ms 2592 KB Output is correct
11 Correct 13 ms 2608 KB Output is correct
12 Correct 14 ms 2688 KB Output is correct
13 Correct 13 ms 2688 KB Output is correct
14 Correct 13 ms 2640 KB Output is correct
15 Correct 13 ms 2656 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 1 ms 340 KB Output is correct
4 Correct 5 ms 1108 KB Output is correct
5 Correct 9 ms 1876 KB Output is correct
6 Correct 14 ms 2628 KB Output is correct
7 Correct 13 ms 2580 KB Output is correct
8 Correct 13 ms 2592 KB Output is correct
9 Correct 13 ms 2580 KB Output is correct
10 Correct 16 ms 2592 KB Output is correct
11 Correct 13 ms 2608 KB Output is correct
12 Correct 14 ms 2688 KB Output is correct
13 Correct 13 ms 2688 KB Output is correct
14 Correct 13 ms 2640 KB Output is correct
15 Correct 13 ms 2656 KB Output is correct
16 Correct 1 ms 340 KB Output is correct
17 Correct 1 ms 340 KB Output is correct
18 Correct 1 ms 340 KB Output is correct
19 Correct 6 ms 1108 KB Output is correct
20 Correct 10 ms 1876 KB Output is correct
21 Correct 14 ms 2644 KB Output is correct
22 Correct 15 ms 2656 KB Output is correct
23 Correct 14 ms 2688 KB Output is correct
24 Correct 15 ms 2644 KB Output is correct
25 Correct 14 ms 2624 KB Output is correct
26 Correct 14 ms 2644 KB Output is correct
27 Correct 15 ms 2600 KB Output is correct
28 Correct 14 ms 2644 KB Output is correct
29 Correct 14 ms 2640 KB Output is correct
30 Correct 16 ms 2644 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 1 ms 340 KB Output is correct
4 Correct 5 ms 1108 KB Output is correct
5 Correct 9 ms 1876 KB Output is correct
6 Correct 14 ms 2628 KB Output is correct
7 Correct 13 ms 2580 KB Output is correct
8 Correct 13 ms 2592 KB Output is correct
9 Correct 13 ms 2580 KB Output is correct
10 Correct 16 ms 2592 KB Output is correct
11 Correct 13 ms 2608 KB Output is correct
12 Correct 14 ms 2688 KB Output is correct
13 Correct 13 ms 2688 KB Output is correct
14 Correct 13 ms 2640 KB Output is correct
15 Correct 13 ms 2656 KB Output is correct
16 Correct 1 ms 340 KB Output is correct
17 Correct 1 ms 340 KB Output is correct
18 Correct 1 ms 340 KB Output is correct
19 Correct 6 ms 1108 KB Output is correct
20 Correct 10 ms 1876 KB Output is correct
21 Correct 14 ms 2644 KB Output is correct
22 Correct 15 ms 2656 KB Output is correct
23 Correct 14 ms 2688 KB Output is correct
24 Correct 15 ms 2644 KB Output is correct
25 Correct 14 ms 2624 KB Output is correct
26 Correct 14 ms 2644 KB Output is correct
27 Correct 15 ms 2600 KB Output is correct
28 Correct 14 ms 2644 KB Output is correct
29 Correct 14 ms 2640 KB Output is correct
30 Correct 16 ms 2644 KB Output is correct
31 Correct 1 ms 340 KB Output is correct
32 Correct 2 ms 340 KB Output is correct
33 Correct 1 ms 340 KB Output is correct
34 Correct 2 ms 340 KB Output is correct
35 Correct 1 ms 340 KB Output is correct
36 Correct 1 ms 340 KB Output is correct
37 Correct 3 ms 724 KB Output is correct
38 Correct 3 ms 724 KB Output is correct
39 Correct 6 ms 1108 KB Output is correct
40 Correct 15 ms 2000 KB Output is correct
41 Correct 22 ms 2708 KB Output is correct
42 Correct 27 ms 2768 KB Output is correct
43 Correct 18 ms 2716 KB Output is correct
44 Correct 17 ms 2772 KB Output is correct
45 Correct 17 ms 2696 KB Output is correct
46 Correct 17 ms 2772 KB Output is correct
47 Correct 22 ms 2752 KB Output is correct
48 Correct 21 ms 2688 KB Output is correct
49 Correct 18 ms 2716 KB Output is correct
50 Correct 17 ms 2704 KB Output is correct
51 Correct 17 ms 2772 KB Output is correct
52 Correct 17 ms 2772 KB Output is correct
53 Correct 20 ms 2772 KB Output is correct
54 Correct 17 ms 2740 KB Output is correct
55 Correct 17 ms 2772 KB Output is correct
56 Correct 17 ms 2708 KB Output is correct
57 Correct 18 ms 2700 KB Output is correct
58 Correct 17 ms 2772 KB Output is correct
59 Correct 17 ms 2772 KB Output is correct
60 Correct 17 ms 2692 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 1 ms 340 KB Output is correct
3 Correct 1 ms 340 KB Output is correct
4 Correct 1 ms 340 KB Output is correct
5 Correct 1 ms 340 KB Output is correct
6 Correct 1 ms 340 KB Output is correct
7 Correct 1 ms 340 KB Output is correct
8 Correct 1 ms 340 KB Output is correct
9 Correct 1 ms 340 KB Output is correct
10 Correct 1 ms 340 KB Output is correct
11 Correct 1 ms 340 KB Output is correct
12 Correct 1 ms 340 KB Output is correct
13 Correct 1 ms 340 KB Output is correct
14 Correct 5 ms 1108 KB Output is correct
15 Correct 9 ms 1876 KB Output is correct
16 Correct 14 ms 2628 KB Output is correct
17 Correct 13 ms 2580 KB Output is correct
18 Correct 13 ms 2592 KB Output is correct
19 Correct 13 ms 2580 KB Output is correct
20 Correct 16 ms 2592 KB Output is correct
21 Correct 13 ms 2608 KB Output is correct
22 Correct 14 ms 2688 KB Output is correct
23 Correct 13 ms 2688 KB Output is correct
24 Correct 13 ms 2640 KB Output is correct
25 Correct 13 ms 2656 KB Output is correct
26 Correct 1 ms 340 KB Output is correct
27 Correct 1 ms 340 KB Output is correct
28 Correct 1 ms 340 KB Output is correct
29 Correct 6 ms 1108 KB Output is correct
30 Correct 10 ms 1876 KB Output is correct
31 Correct 14 ms 2644 KB Output is correct
32 Correct 15 ms 2656 KB Output is correct
33 Correct 14 ms 2688 KB Output is correct
34 Correct 15 ms 2644 KB Output is correct
35 Correct 14 ms 2624 KB Output is correct
36 Correct 14 ms 2644 KB Output is correct
37 Correct 15 ms 2600 KB Output is correct
38 Correct 14 ms 2644 KB Output is correct
39 Correct 14 ms 2640 KB Output is correct
40 Correct 16 ms 2644 KB Output is correct
41 Correct 1 ms 340 KB Output is correct
42 Correct 2 ms 340 KB Output is correct
43 Correct 1 ms 340 KB Output is correct
44 Correct 2 ms 340 KB Output is correct
45 Correct 1 ms 340 KB Output is correct
46 Correct 1 ms 340 KB Output is correct
47 Correct 3 ms 724 KB Output is correct
48 Correct 3 ms 724 KB Output is correct
49 Correct 6 ms 1108 KB Output is correct
50 Correct 15 ms 2000 KB Output is correct
51 Correct 22 ms 2708 KB Output is correct
52 Correct 27 ms 2768 KB Output is correct
53 Correct 18 ms 2716 KB Output is correct
54 Correct 17 ms 2772 KB Output is correct
55 Correct 17 ms 2696 KB Output is correct
56 Correct 17 ms 2772 KB Output is correct
57 Correct 22 ms 2752 KB Output is correct
58 Correct 21 ms 2688 KB Output is correct
59 Correct 18 ms 2716 KB Output is correct
60 Correct 17 ms 2704 KB Output is correct
61 Correct 17 ms 2772 KB Output is correct
62 Correct 17 ms 2772 KB Output is correct
63 Correct 20 ms 2772 KB Output is correct
64 Correct 17 ms 2740 KB Output is correct
65 Correct 17 ms 2772 KB Output is correct
66 Correct 17 ms 2708 KB Output is correct
67 Correct 18 ms 2700 KB Output is correct
68 Correct 17 ms 2772 KB Output is correct
69 Correct 17 ms 2772 KB Output is correct
70 Correct 17 ms 2692 KB Output is correct
71 Correct 3 ms 724 KB Output is correct
72 Correct 4 ms 724 KB Output is correct
73 Correct 4 ms 724 KB Output is correct
74 Correct 3 ms 724 KB Output is correct
75 Correct 6 ms 724 KB Output is correct
76 Correct 6 ms 1108 KB Output is correct
77 Correct 7 ms 1108 KB Output is correct
78 Correct 6 ms 1108 KB Output is correct
79 Correct 7 ms 1108 KB Output is correct
80 Correct 6 ms 1236 KB Output is correct
81 Correct 12 ms 2020 KB Output is correct
82 Correct 12 ms 2060 KB Output is correct
83 Correct 12 ms 2004 KB Output is correct
84 Correct 11 ms 2004 KB Output is correct
85 Correct 12 ms 2004 KB Output is correct
86 Correct 13 ms 2132 KB Output is correct
87 Correct 13 ms 2120 KB Output is correct
88 Correct 13 ms 2132 KB Output is correct
89 Correct 13 ms 2164 KB Output is correct
90 Correct 15 ms 2220 KB Output is correct
91 Correct 21 ms 4228 KB Output is correct
92 Correct 22 ms 4224 KB Output is correct
93 Correct 25 ms 4180 KB Output is correct
94 Correct 21 ms 4148 KB Output is correct
95 Correct 22 ms 4248 KB Output is correct
96 Correct 32 ms 5708 KB Output is correct
97 Correct 25 ms 5812 KB Output is correct
98 Correct 30 ms 5724 KB Output is correct
99 Correct 25 ms 5716 KB Output is correct
100 Correct 23 ms 5708 KB Output is correct
101 Correct 25 ms 5716 KB Output is correct
102 Correct 24 ms 5740 KB Output is correct
103 Correct 24 ms 5788 KB Output is correct
104 Correct 24 ms 5792 KB Output is correct
105 Correct 24 ms 5716 KB Output is correct
106 Correct 24 ms 6592 KB Output is correct
107 Correct 25 ms 6484 KB Output is correct
108 Correct 25 ms 6484 KB Output is correct
109 Correct 25 ms 6520 KB Output is correct
110 Correct 25 ms 6480 KB Output is correct
111 Correct 23 ms 6580 KB Output is correct
112 Correct 24 ms 6592 KB Output is correct
113 Correct 25 ms 6508 KB Output is correct
114 Correct 24 ms 6532 KB Output is correct
115 Correct 25 ms 6608 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 1 ms 340 KB Output is correct
3 Correct 1 ms 340 KB Output is correct
4 Correct 1 ms 340 KB Output is correct
5 Correct 1 ms 340 KB Output is correct
6 Correct 1 ms 340 KB Output is correct
7 Correct 1 ms 340 KB Output is correct
8 Correct 1 ms 340 KB Output is correct
9 Correct 1 ms 340 KB Output is correct
10 Correct 1 ms 340 KB Output is correct
11 Correct 1 ms 340 KB Output is correct
12 Correct 1 ms 340 KB Output is correct
13 Correct 1 ms 340 KB Output is correct
14 Correct 5 ms 1108 KB Output is correct
15 Correct 9 ms 1876 KB Output is correct
16 Correct 14 ms 2628 KB Output is correct
17 Correct 13 ms 2580 KB Output is correct
18 Correct 13 ms 2592 KB Output is correct
19 Correct 13 ms 2580 KB Output is correct
20 Correct 16 ms 2592 KB Output is correct
21 Correct 13 ms 2608 KB Output is correct
22 Correct 14 ms 2688 KB Output is correct
23 Correct 13 ms 2688 KB Output is correct
24 Correct 13 ms 2640 KB Output is correct
25 Correct 13 ms 2656 KB Output is correct
26 Correct 1 ms 340 KB Output is correct
27 Correct 1 ms 340 KB Output is correct
28 Correct 1 ms 340 KB Output is correct
29 Correct 6 ms 1108 KB Output is correct
30 Correct 10 ms 1876 KB Output is correct
31 Correct 14 ms 2644 KB Output is correct
32 Correct 15 ms 2656 KB Output is correct
33 Correct 14 ms 2688 KB Output is correct
34 Correct 15 ms 2644 KB Output is correct
35 Correct 14 ms 2624 KB Output is correct
36 Correct 14 ms 2644 KB Output is correct
37 Correct 15 ms 2600 KB Output is correct
38 Correct 14 ms 2644 KB Output is correct
39 Correct 14 ms 2640 KB Output is correct
40 Correct 16 ms 2644 KB Output is correct
41 Correct 1 ms 340 KB Output is correct
42 Correct 2 ms 340 KB Output is correct
43 Correct 1 ms 340 KB Output is correct
44 Correct 2 ms 340 KB Output is correct
45 Correct 1 ms 340 KB Output is correct
46 Correct 1 ms 340 KB Output is correct
47 Correct 3 ms 724 KB Output is correct
48 Correct 3 ms 724 KB Output is correct
49 Correct 6 ms 1108 KB Output is correct
50 Correct 15 ms 2000 KB Output is correct
51 Correct 22 ms 2708 KB Output is correct
52 Correct 27 ms 2768 KB Output is correct
53 Correct 18 ms 2716 KB Output is correct
54 Correct 17 ms 2772 KB Output is correct
55 Correct 17 ms 2696 KB Output is correct
56 Correct 17 ms 2772 KB Output is correct
57 Correct 22 ms 2752 KB Output is correct
58 Correct 21 ms 2688 KB Output is correct
59 Correct 18 ms 2716 KB Output is correct
60 Correct 17 ms 2704 KB Output is correct
61 Correct 17 ms 2772 KB Output is correct
62 Correct 17 ms 2772 KB Output is correct
63 Correct 20 ms 2772 KB Output is correct
64 Correct 17 ms 2740 KB Output is correct
65 Correct 17 ms 2772 KB Output is correct
66 Correct 17 ms 2708 KB Output is correct
67 Correct 18 ms 2700 KB Output is correct
68 Correct 17 ms 2772 KB Output is correct
69 Correct 17 ms 2772 KB Output is correct
70 Correct 17 ms 2692 KB Output is correct
71 Correct 3 ms 724 KB Output is correct
72 Correct 4 ms 724 KB Output is correct
73 Correct 4 ms 724 KB Output is correct
74 Correct 3 ms 724 KB Output is correct
75 Correct 6 ms 724 KB Output is correct
76 Correct 6 ms 1108 KB Output is correct
77 Correct 7 ms 1108 KB Output is correct
78 Correct 6 ms 1108 KB Output is correct
79 Correct 7 ms 1108 KB Output is correct
80 Correct 6 ms 1236 KB Output is correct
81 Correct 12 ms 2020 KB Output is correct
82 Correct 12 ms 2060 KB Output is correct
83 Correct 12 ms 2004 KB Output is correct
84 Correct 11 ms 2004 KB Output is correct
85 Correct 12 ms 2004 KB Output is correct
86 Correct 13 ms 2132 KB Output is correct
87 Correct 13 ms 2120 KB Output is correct
88 Correct 13 ms 2132 KB Output is correct
89 Correct 13 ms 2164 KB Output is correct
90 Correct 15 ms 2220 KB Output is correct
91 Correct 21 ms 4228 KB Output is correct
92 Correct 22 ms 4224 KB Output is correct
93 Correct 25 ms 4180 KB Output is correct
94 Correct 21 ms 4148 KB Output is correct
95 Correct 22 ms 4248 KB Output is correct
96 Correct 32 ms 5708 KB Output is correct
97 Correct 25 ms 5812 KB Output is correct
98 Correct 30 ms 5724 KB Output is correct
99 Correct 25 ms 5716 KB Output is correct
100 Correct 23 ms 5708 KB Output is correct
101 Correct 25 ms 5716 KB Output is correct
102 Correct 24 ms 5740 KB Output is correct
103 Correct 24 ms 5788 KB Output is correct
104 Correct 24 ms 5792 KB Output is correct
105 Correct 24 ms 5716 KB Output is correct
106 Correct 24 ms 6592 KB Output is correct
107 Correct 25 ms 6484 KB Output is correct
108 Correct 25 ms 6484 KB Output is correct
109 Correct 25 ms 6520 KB Output is correct
110 Correct 25 ms 6480 KB Output is correct
111 Correct 23 ms 6580 KB Output is correct
112 Correct 24 ms 6592 KB Output is correct
113 Correct 25 ms 6508 KB Output is correct
114 Correct 24 ms 6532 KB Output is correct
115 Correct 25 ms 6608 KB Output is correct
116 Correct 1220 ms 2896 KB Output is correct
117 Correct 673 ms 2900 KB Output is correct
118 Correct 4929 ms 3212 KB Output is correct
119 Correct 2468 ms 3336 KB Output is correct
120 Correct 2653 ms 3284 KB Output is correct
121 Correct 5478 ms 3696 KB Output is correct
122 Correct 5624 ms 3824 KB Output is correct
123 Execution timed out 7070 ms 3772 KB Time limit exceeded
124 Halted 0 ms 0 KB -