oj.uz

Submission #827572

# Submission time Handle Problem Language Result Execution time Memory
827572 2023-08-16T14:50:35 Z NeroZein Diversity (CEOI21_diversity) C++17
64 / 100
 7000 ms 4620 KB 
#include "bits/stdc++.h"
#define int long long
using namespace std;
 
#ifdef Nero
#include "Deb.h"
#else
#define deb(...)
#endif

const int B = 1000;
const int N = 3e5 + 5;

int a[N]; 
int freq[N];
bitset<N> se;
int cnt_freq[N];
long long prop_ps[N];

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]]) {
    if (cnt_freq[freq[a[i]]] == 1) {
      se[freq[a[i]]] = 0;
    }
    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[freq[a[i]]] = 1; 
    }
  }
}

inline vector<pair<int, int>> construct() {
  vector<pair<int, int>> left;
  vector<pair<int, int>> right;
  bool go_left = true;
  vector<int> xz;
  int cur_id = 0; 
  int tot = se.count(); 
  int cur_cnt = 0;
  while (cur_cnt < tot) {
    int next_id = se._Find_next(cur_id);
    xz.push_back(next_id);
    cur_id = next_id; 
    cur_cnt++; 
  }
  for (auto i : xz) {
    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()); 
  assert(ret.size() <= B); 
  for (auto [x, y] : right) {
    if (ret.back().first == x) {
      ret.back().second += y;
    } else {
      ret.push_back({x, y});      
    }
  }
  return ret;
}

inline long long prop(int x) {
  return (long long) x * (x + 1) / 2; 
}

inline long long get(vector<pair<int, int>>& v) {
  assert(v.size() <= B); 
  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 = (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];
  }
  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 (r < qr) modify(++r, 1);
    while (l < ql) modify(l++, -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 0 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 1 ms 340 KB Output is correct
6 Correct 1 ms 340 KB Output is correct
7 Correct 0 ms 340 KB Output is correct
8 Correct 0 ms 340 KB Output is correct
9 Correct 0 ms 340 KB Output is correct
10 Correct 0 ms 340 KB Output is correct

Subtask #2
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 340 KB Output is correct
2 Correct 0 ms 340 KB Output is correct
3 Correct 1 ms 340 KB Output is correct
4 Correct 4 ms 1236 KB Output is correct
5 Correct 9 ms 2388 KB Output is correct
6 Correct 15 ms 3104 KB Output is correct
7 Correct 21 ms 3924 KB Output is correct
8 Correct 14 ms 3020 KB Output is correct
9 Correct 17 ms 3028 KB Output is correct
10 Correct 18 ms 3472 KB Output is correct
11 Correct 14 ms 3216 KB Output is correct
12 Correct 14 ms 3020 KB Output is correct
13 Correct 16 ms 3084 KB Output is correct
14 Correct 16 ms 3392 KB Output is correct
15 Correct 14 ms 3156 KB Output is correct

Subtask #3
8.0 / 8.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 340 KB Output is correct
2 Correct 0 ms 340 KB Output is correct
3 Correct 1 ms 340 KB Output is correct
4 Correct 4 ms 1236 KB Output is correct
5 Correct 9 ms 2388 KB Output is correct
6 Correct 15 ms 3104 KB Output is correct
7 Correct 21 ms 3924 KB Output is correct
8 Correct 14 ms 3020 KB Output is correct
9 Correct 17 ms 3028 KB Output is correct
10 Correct 18 ms 3472 KB Output is correct
11 Correct 14 ms 3216 KB Output is correct
12 Correct 14 ms 3020 KB Output is correct
13 Correct 16 ms 3084 KB Output is correct
14 Correct 16 ms 3392 KB Output is correct
15 Correct 14 ms 3156 KB Output is correct
16 Correct 0 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 5 ms 1236 KB Output is correct
20 Correct 10 ms 2056 KB Output is correct
21 Correct 14 ms 3156 KB Output is correct
22 Correct 14 ms 3000 KB Output is correct
23 Correct 18 ms 3028 KB Output is correct
24 Correct 15 ms 2900 KB Output is correct
25 Correct 15 ms 2964 KB Output is correct
26 Correct 15 ms 2988 KB Output is correct
27 Correct 15 ms 3028 KB Output is correct
28 Correct 15 ms 3284 KB Output is correct
29 Correct 15 ms 3028 KB Output is correct
30 Correct 15 ms 2924 KB Output is correct

Subtask #4
16.0 / 16.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 340 KB Output is correct
2 Correct 0 ms 340 KB Output is correct
3 Correct 1 ms 340 KB Output is correct
4 Correct 4 ms 1236 KB Output is correct
5 Correct 9 ms 2388 KB Output is correct
6 Correct 15 ms 3104 KB Output is correct
7 Correct 21 ms 3924 KB Output is correct
8 Correct 14 ms 3020 KB Output is correct
9 Correct 17 ms 3028 KB Output is correct
10 Correct 18 ms 3472 KB Output is correct
11 Correct 14 ms 3216 KB Output is correct
12 Correct 14 ms 3020 KB Output is correct
13 Correct 16 ms 3084 KB Output is correct
14 Correct 16 ms 3392 KB Output is correct
15 Correct 14 ms 3156 KB Output is correct
16 Correct 0 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 5 ms 1236 KB Output is correct
20 Correct 10 ms 2056 KB Output is correct
21 Correct 14 ms 3156 KB Output is correct
22 Correct 14 ms 3000 KB Output is correct
23 Correct 18 ms 3028 KB Output is correct
24 Correct 15 ms 2900 KB Output is correct
25 Correct 15 ms 2964 KB Output is correct
26 Correct 15 ms 2988 KB Output is correct
27 Correct 15 ms 3028 KB Output is correct
28 Correct 15 ms 3284 KB Output is correct
29 Correct 15 ms 3028 KB Output is correct
30 Correct 15 ms 2924 KB Output is correct
31 Correct 0 ms 340 KB Output is correct
32 Correct 0 ms 340 KB Output is correct
33 Correct 0 ms 340 KB Output is correct
34 Correct 1 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 4 ms 724 KB Output is correct
39 Correct 6 ms 1076 KB Output is correct
40 Correct 11 ms 1884 KB Output is correct
41 Correct 20 ms 2752 KB Output is correct
42 Correct 17 ms 2772 KB Output is correct
43 Correct 17 ms 2756 KB Output is correct
44 Correct 20 ms 2772 KB Output is correct
45 Correct 17 ms 2712 KB Output is correct
46 Correct 17 ms 2660 KB Output is correct
47 Correct 17 ms 2780 KB Output is correct
48 Correct 18 ms 2688 KB Output is correct
49 Correct 17 ms 2772 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 2700 KB Output is correct
53 Correct 17 ms 2772 KB Output is correct
54 Correct 17 ms 2636 KB Output is correct
55 Correct 17 ms 2792 KB Output is correct
56 Correct 17 ms 2772 KB Output is correct
57 Correct 17 ms 2720 KB Output is correct
58 Correct 20 ms 2716 KB Output is correct
59 Correct 17 ms 2756 KB Output is correct
60 Correct 17 ms 2660 KB Output is correct

Subtask #5
26.0 / 26.0

# Verdict Execution time Memory Grader output
1 Correct 0 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 1 ms 340 KB Output is correct
6 Correct 1 ms 340 KB Output is correct
7 Correct 0 ms 340 KB Output is correct
8 Correct 0 ms 340 KB Output is correct
9 Correct 0 ms 340 KB Output is correct
10 Correct 0 ms 340 KB Output is correct
11 Correct 0 ms 340 KB Output is correct
12 Correct 0 ms 340 KB Output is correct
13 Correct 1 ms 340 KB Output is correct
14 Correct 4 ms 1236 KB Output is correct
15 Correct 9 ms 2388 KB Output is correct
16 Correct 15 ms 3104 KB Output is correct
17 Correct 21 ms 3924 KB Output is correct
18 Correct 14 ms 3020 KB Output is correct
19 Correct 17 ms 3028 KB Output is correct
20 Correct 18 ms 3472 KB Output is correct
21 Correct 14 ms 3216 KB Output is correct
22 Correct 14 ms 3020 KB Output is correct
23 Correct 16 ms 3084 KB Output is correct
24 Correct 16 ms 3392 KB Output is correct
25 Correct 14 ms 3156 KB Output is correct
26 Correct 0 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 5 ms 1236 KB Output is correct
30 Correct 10 ms 2056 KB Output is correct
31 Correct 14 ms 3156 KB Output is correct
32 Correct 14 ms 3000 KB Output is correct
33 Correct 18 ms 3028 KB Output is correct
34 Correct 15 ms 2900 KB Output is correct
35 Correct 15 ms 2964 KB Output is correct
36 Correct 15 ms 2988 KB Output is correct
37 Correct 15 ms 3028 KB Output is correct
38 Correct 15 ms 3284 KB Output is correct
39 Correct 15 ms 3028 KB Output is correct
40 Correct 15 ms 2924 KB Output is correct
41 Correct 0 ms 340 KB Output is correct
42 Correct 0 ms 340 KB Output is correct
43 Correct 0 ms 340 KB Output is correct
44 Correct 1 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 4 ms 724 KB Output is correct
49 Correct 6 ms 1076 KB Output is correct
50 Correct 11 ms 1884 KB Output is correct
51 Correct 20 ms 2752 KB Output is correct
52 Correct 17 ms 2772 KB Output is correct
53 Correct 17 ms 2756 KB Output is correct
54 Correct 20 ms 2772 KB Output is correct
55 Correct 17 ms 2712 KB Output is correct
56 Correct 17 ms 2660 KB Output is correct
57 Correct 17 ms 2780 KB Output is correct
58 Correct 18 ms 2688 KB Output is correct
59 Correct 17 ms 2772 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 2700 KB Output is correct
63 Correct 17 ms 2772 KB Output is correct
64 Correct 17 ms 2636 KB Output is correct
65 Correct 17 ms 2792 KB Output is correct
66 Correct 17 ms 2772 KB Output is correct
67 Correct 17 ms 2720 KB Output is correct
68 Correct 20 ms 2716 KB Output is correct
69 Correct 17 ms 2756 KB Output is correct
70 Correct 17 ms 2660 KB Output is correct
71 Correct 4 ms 724 KB Output is correct
72 Correct 3 ms 724 KB Output is correct
73 Correct 3 ms 724 KB Output is correct
74 Correct 3 ms 724 KB Output is correct
75 Correct 3 ms 724 KB Output is correct
76 Correct 6 ms 1108 KB Output is correct
77 Correct 6 ms 1108 KB Output is correct
78 Correct 6 ms 1068 KB Output is correct
79 Correct 6 ms 1076 KB Output is correct
80 Correct 9 ms 1196 KB Output is correct
81 Correct 15 ms 1972 KB Output is correct
82 Correct 12 ms 1976 KB Output is correct
83 Correct 11 ms 2004 KB Output is correct
84 Correct 15 ms 2004 KB Output is correct
85 Correct 12 ms 2004 KB Output is correct
86 Correct 13 ms 1964 KB Output is correct
87 Correct 13 ms 2080 KB Output is correct
88 Correct 14 ms 2088 KB Output is correct
89 Correct 13 ms 2004 KB Output is correct
90 Correct 17 ms 2084 KB Output is correct
91 Correct 19 ms 3404 KB Output is correct
92 Correct 19 ms 3412 KB Output is correct
93 Correct 19 ms 3404 KB Output is correct
94 Correct 20 ms 3396 KB Output is correct
95 Correct 19 ms 3412 KB Output is correct
96 Correct 22 ms 4176 KB Output is correct
97 Correct 24 ms 4164 KB Output is correct
98 Correct 22 ms 4164 KB Output is correct
99 Correct 22 ms 4256 KB Output is correct
100 Correct 22 ms 4160 KB Output is correct
101 Correct 21 ms 4180 KB Output is correct
102 Correct 22 ms 4180 KB Output is correct
103 Correct 23 ms 4172 KB Output is correct
104 Correct 22 ms 4224 KB Output is correct
105 Correct 22 ms 4244 KB Output is correct
106 Correct 21 ms 4560 KB Output is correct
107 Correct 22 ms 4556 KB Output is correct
108 Correct 21 ms 4568 KB Output is correct
109 Correct 22 ms 4604 KB Output is correct
110 Correct 24 ms 4536 KB Output is correct
111 Correct 22 ms 4568 KB Output is correct
112 Correct 26 ms 4620 KB Output is correct
113 Correct 21 ms 4572 KB Output is correct
114 Correct 22 ms 4556 KB Output is correct
115 Correct 22 ms 4544 KB Output is correct

Subtask #6
0 / 36.0

# Verdict Execution time Memory Grader output
1 Correct 0 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 1 ms 340 KB Output is correct
6 Correct 1 ms 340 KB Output is correct
7 Correct 0 ms 340 KB Output is correct
8 Correct 0 ms 340 KB Output is correct
9 Correct 0 ms 340 KB Output is correct
10 Correct 0 ms 340 KB Output is correct
11 Correct 0 ms 340 KB Output is correct
12 Correct 0 ms 340 KB Output is correct
13 Correct 1 ms 340 KB Output is correct
14 Correct 4 ms 1236 KB Output is correct
15 Correct 9 ms 2388 KB Output is correct
16 Correct 15 ms 3104 KB Output is correct
17 Correct 21 ms 3924 KB Output is correct
18 Correct 14 ms 3020 KB Output is correct
19 Correct 17 ms 3028 KB Output is correct
20 Correct 18 ms 3472 KB Output is correct
21 Correct 14 ms 3216 KB Output is correct
22 Correct 14 ms 3020 KB Output is correct
23 Correct 16 ms 3084 KB Output is correct
24 Correct 16 ms 3392 KB Output is correct
25 Correct 14 ms 3156 KB Output is correct
26 Correct 0 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 5 ms 1236 KB Output is correct
30 Correct 10 ms 2056 KB Output is correct
31 Correct 14 ms 3156 KB Output is correct
32 Correct 14 ms 3000 KB Output is correct
33 Correct 18 ms 3028 KB Output is correct
34 Correct 15 ms 2900 KB Output is correct
35 Correct 15 ms 2964 KB Output is correct
36 Correct 15 ms 2988 KB Output is correct
37 Correct 15 ms 3028 KB Output is correct
38 Correct 15 ms 3284 KB Output is correct
39 Correct 15 ms 3028 KB Output is correct
40 Correct 15 ms 2924 KB Output is correct
41 Correct 0 ms 340 KB Output is correct
42 Correct 0 ms 340 KB Output is correct
43 Correct 0 ms 340 KB Output is correct
44 Correct 1 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 4 ms 724 KB Output is correct
49 Correct 6 ms 1076 KB Output is correct
50 Correct 11 ms 1884 KB Output is correct
51 Correct 20 ms 2752 KB Output is correct
52 Correct 17 ms 2772 KB Output is correct
53 Correct 17 ms 2756 KB Output is correct
54 Correct 20 ms 2772 KB Output is correct
55 Correct 17 ms 2712 KB Output is correct
56 Correct 17 ms 2660 KB Output is correct
57 Correct 17 ms 2780 KB Output is correct
58 Correct 18 ms 2688 KB Output is correct
59 Correct 17 ms 2772 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 2700 KB Output is correct
63 Correct 17 ms 2772 KB Output is correct
64 Correct 17 ms 2636 KB Output is correct
65 Correct 17 ms 2792 KB Output is correct
66 Correct 17 ms 2772 KB Output is correct
67 Correct 17 ms 2720 KB Output is correct
68 Correct 20 ms 2716 KB Output is correct
69 Correct 17 ms 2756 KB Output is correct
70 Correct 17 ms 2660 KB Output is correct
71 Correct 4 ms 724 KB Output is correct
72 Correct 3 ms 724 KB Output is correct
73 Correct 3 ms 724 KB Output is correct
74 Correct 3 ms 724 KB Output is correct
75 Correct 3 ms 724 KB Output is correct
76 Correct 6 ms 1108 KB Output is correct
77 Correct 6 ms 1108 KB Output is correct
78 Correct 6 ms 1068 KB Output is correct
79 Correct 6 ms 1076 KB Output is correct
80 Correct 9 ms 1196 KB Output is correct
81 Correct 15 ms 1972 KB Output is correct
82 Correct 12 ms 1976 KB Output is correct
83 Correct 11 ms 2004 KB Output is correct
84 Correct 15 ms 2004 KB Output is correct
85 Correct 12 ms 2004 KB Output is correct
86 Correct 13 ms 1964 KB Output is correct
87 Correct 13 ms 2080 KB Output is correct
88 Correct 14 ms 2088 KB Output is correct
89 Correct 13 ms 2004 KB Output is correct
90 Correct 17 ms 2084 KB Output is correct
91 Correct 19 ms 3404 KB Output is correct
92 Correct 19 ms 3412 KB Output is correct
93 Correct 19 ms 3404 KB Output is correct
94 Correct 20 ms 3396 KB Output is correct
95 Correct 19 ms 3412 KB Output is correct
96 Correct 22 ms 4176 KB Output is correct
97 Correct 24 ms 4164 KB Output is correct
98 Correct 22 ms 4164 KB Output is correct
99 Correct 22 ms 4256 KB Output is correct
100 Correct 22 ms 4160 KB Output is correct
101 Correct 21 ms 4180 KB Output is correct
102 Correct 22 ms 4180 KB Output is correct
103 Correct 23 ms 4172 KB Output is correct
104 Correct 22 ms 4224 KB Output is correct
105 Correct 22 ms 4244 KB Output is correct
106 Correct 21 ms 4560 KB Output is correct
107 Correct 22 ms 4556 KB Output is correct
108 Correct 21 ms 4568 KB Output is correct
109 Correct 22 ms 4604 KB Output is correct
110 Correct 24 ms 4536 KB Output is correct
111 Correct 22 ms 4568 KB Output is correct
112 Correct 26 ms 4620 KB Output is correct
113 Correct 21 ms 4572 KB Output is correct
114 Correct 22 ms 4556 KB Output is correct
115 Correct 22 ms 4544 KB Output is correct
116 Correct 2109 ms 2796 KB Output is correct
117 Correct 3150 ms 2808 KB Output is correct
118 Execution timed out 7080 ms 2740 KB Time limit exceeded
119 Halted 0 ms 0 KB -