oj.uz

Submission #827563

# Submission time Handle Problem Language Result Execution time Memory
827563 2023-08-16T14:46:41 Z NeroZein Diversity (CEOI21_diversity) C++17
38 / 100
 23 ms 2632 KB 
#include "bits/stdc++.h"
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;
}

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; 
    }
  }
}

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()); 
  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) {
  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 1 ms 340 KB Output is correct
2 Correct 1 ms 324 KB Output is correct
3 Correct 1 ms 340 KB Output is correct
4 Correct 0 ms 340 KB Output is correct
5 Correct 1 ms 340 KB Output is correct
6 Correct 1 ms 328 KB Output is correct
7 Correct 0 ms 340 KB Output is correct
8 Correct 0 ms 340 KB Output is correct
9 Correct 1 ms 340 KB Output is correct
10 Correct 1 ms 324 KB Output is correct

Subtask #2
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 332 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 996 KB Output is correct
5 Correct 10 ms 1748 KB Output is correct
6 Correct 17 ms 2000 KB Output is correct
7 Correct 16 ms 2496 KB Output is correct
8 Correct 18 ms 2072 KB Output is correct
9 Correct 18 ms 2088 KB Output is correct
10 Correct 16 ms 2164 KB Output is correct
11 Correct 17 ms 2168 KB Output is correct
12 Correct 15 ms 1992 KB Output is correct
13 Correct 17 ms 2076 KB Output is correct
14 Correct 16 ms 2072 KB Output is correct
15 Correct 16 ms 2068 KB Output is correct

Subtask #3
8.0 / 8.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 332 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 996 KB Output is correct
5 Correct 10 ms 1748 KB Output is correct
6 Correct 17 ms 2000 KB Output is correct
7 Correct 16 ms 2496 KB Output is correct
8 Correct 18 ms 2072 KB Output is correct
9 Correct 18 ms 2088 KB Output is correct
10 Correct 16 ms 2164 KB Output is correct
11 Correct 17 ms 2168 KB Output is correct
12 Correct 15 ms 1992 KB Output is correct
13 Correct 17 ms 2076 KB Output is correct
14 Correct 16 ms 2072 KB Output is correct
15 Correct 16 ms 2068 KB Output is correct
16 Correct 0 ms 328 KB Output is correct
17 Correct 1 ms 332 KB Output is correct
18 Correct 1 ms 340 KB Output is correct
19 Correct 8 ms 980 KB Output is correct
20 Correct 12 ms 1584 KB Output is correct
21 Correct 18 ms 2084 KB Output is correct
22 Correct 16 ms 1964 KB Output is correct
23 Correct 16 ms 1988 KB Output is correct
24 Correct 17 ms 1940 KB Output is correct
25 Correct 17 ms 1952 KB Output is correct
26 Correct 16 ms 2028 KB Output is correct
27 Correct 16 ms 2044 KB Output is correct
28 Correct 16 ms 2116 KB Output is correct
29 Correct 20 ms 2060 KB Output is correct
30 Correct 15 ms 2020 KB Output is correct

Subtask #4
16.0 / 16.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 332 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 996 KB Output is correct
5 Correct 10 ms 1748 KB Output is correct
6 Correct 17 ms 2000 KB Output is correct
7 Correct 16 ms 2496 KB Output is correct
8 Correct 18 ms 2072 KB Output is correct
9 Correct 18 ms 2088 KB Output is correct
10 Correct 16 ms 2164 KB Output is correct
11 Correct 17 ms 2168 KB Output is correct
12 Correct 15 ms 1992 KB Output is correct
13 Correct 17 ms 2076 KB Output is correct
14 Correct 16 ms 2072 KB Output is correct
15 Correct 16 ms 2068 KB Output is correct
16 Correct 0 ms 328 KB Output is correct
17 Correct 1 ms 332 KB Output is correct
18 Correct 1 ms 340 KB Output is correct
19 Correct 8 ms 980 KB Output is correct
20 Correct 12 ms 1584 KB Output is correct
21 Correct 18 ms 2084 KB Output is correct
22 Correct 16 ms 1964 KB Output is correct
23 Correct 16 ms 1988 KB Output is correct
24 Correct 17 ms 1940 KB Output is correct
25 Correct 17 ms 1952 KB Output is correct
26 Correct 16 ms 2028 KB Output is correct
27 Correct 16 ms 2044 KB Output is correct
28 Correct 16 ms 2116 KB Output is correct
29 Correct 20 ms 2060 KB Output is correct
30 Correct 15 ms 2020 KB Output is correct
31 Correct 1 ms 340 KB Output is correct
32 Correct 1 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 4 ms 708 KB Output is correct
38 Correct 5 ms 724 KB Output is correct
39 Correct 6 ms 1148 KB Output is correct
40 Correct 19 ms 1532 KB Output is correct
41 Correct 18 ms 1828 KB Output is correct
42 Correct 18 ms 1868 KB Output is correct
43 Correct 19 ms 1848 KB Output is correct
44 Correct 21 ms 1852 KB Output is correct
45 Correct 19 ms 1840 KB Output is correct
46 Correct 19 ms 1884 KB Output is correct
47 Correct 19 ms 1820 KB Output is correct
48 Correct 18 ms 1824 KB Output is correct
49 Correct 18 ms 1868 KB Output is correct
50 Correct 18 ms 1836 KB Output is correct
51 Correct 19 ms 1816 KB Output is correct
52 Correct 18 ms 1872 KB Output is correct
53 Correct 22 ms 1996 KB Output is correct
54 Correct 21 ms 1800 KB Output is correct
55 Correct 19 ms 1888 KB Output is correct
56 Correct 18 ms 1908 KB Output is correct
57 Correct 18 ms 1868 KB Output is correct
58 Correct 18 ms 1868 KB Output is correct
59 Correct 18 ms 1856 KB Output is correct
60 Correct 18 ms 1904 KB Output is correct

Subtask #5
0 / 26.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 340 KB Output is correct
2 Correct 1 ms 324 KB Output is correct
3 Correct 1 ms 340 KB Output is correct
4 Correct 0 ms 340 KB Output is correct
5 Correct 1 ms 340 KB Output is correct
6 Correct 1 ms 328 KB Output is correct
7 Correct 0 ms 340 KB Output is correct
8 Correct 0 ms 340 KB Output is correct
9 Correct 1 ms 340 KB Output is correct
10 Correct 1 ms 324 KB Output is correct
11 Correct 1 ms 332 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 996 KB Output is correct
15 Correct 10 ms 1748 KB Output is correct
16 Correct 17 ms 2000 KB Output is correct
17 Correct 16 ms 2496 KB Output is correct
18 Correct 18 ms 2072 KB Output is correct
19 Correct 18 ms 2088 KB Output is correct
20 Correct 16 ms 2164 KB Output is correct
21 Correct 17 ms 2168 KB Output is correct
22 Correct 15 ms 1992 KB Output is correct
23 Correct 17 ms 2076 KB Output is correct
24 Correct 16 ms 2072 KB Output is correct
25 Correct 16 ms 2068 KB Output is correct
26 Correct 0 ms 328 KB Output is correct
27 Correct 1 ms 332 KB Output is correct
28 Correct 1 ms 340 KB Output is correct
29 Correct 8 ms 980 KB Output is correct
30 Correct 12 ms 1584 KB Output is correct
31 Correct 18 ms 2084 KB Output is correct
32 Correct 16 ms 1964 KB Output is correct
33 Correct 16 ms 1988 KB Output is correct
34 Correct 17 ms 1940 KB Output is correct
35 Correct 17 ms 1952 KB Output is correct
36 Correct 16 ms 2028 KB Output is correct
37 Correct 16 ms 2044 KB Output is correct
38 Correct 16 ms 2116 KB Output is correct
39 Correct 20 ms 2060 KB Output is correct
40 Correct 15 ms 2020 KB Output is correct
41 Correct 1 ms 340 KB Output is correct
42 Correct 1 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 4 ms 708 KB Output is correct
48 Correct 5 ms 724 KB Output is correct
49 Correct 6 ms 1148 KB Output is correct
50 Correct 19 ms 1532 KB Output is correct
51 Correct 18 ms 1828 KB Output is correct
52 Correct 18 ms 1868 KB Output is correct
53 Correct 19 ms 1848 KB Output is correct
54 Correct 21 ms 1852 KB Output is correct
55 Correct 19 ms 1840 KB Output is correct
56 Correct 19 ms 1884 KB Output is correct
57 Correct 19 ms 1820 KB Output is correct
58 Correct 18 ms 1824 KB Output is correct
59 Correct 18 ms 1868 KB Output is correct
60 Correct 18 ms 1836 KB Output is correct
61 Correct 19 ms 1816 KB Output is correct
62 Correct 18 ms 1872 KB Output is correct
63 Correct 22 ms 1996 KB Output is correct
64 Correct 21 ms 1800 KB Output is correct
65 Correct 19 ms 1888 KB Output is correct
66 Correct 18 ms 1908 KB Output is correct
67 Correct 18 ms 1868 KB Output is correct
68 Correct 18 ms 1868 KB Output is correct
69 Correct 18 ms 1856 KB Output is correct
70 Correct 18 ms 1904 KB Output is correct
71 Correct 4 ms 704 KB Output is correct
72 Correct 3 ms 724 KB Output is correct
73 Correct 3 ms 724 KB Output is correct
74 Correct 5 ms 724 KB Output is correct
75 Correct 4 ms 724 KB Output is correct
76 Correct 6 ms 1108 KB Output is correct
77 Correct 6 ms 1044 KB Output is correct
78 Correct 7 ms 1136 KB Output is correct
79 Correct 9 ms 1016 KB Output is correct
80 Correct 6 ms 1076 KB Output is correct
81 Correct 13 ms 1488 KB Output is correct
82 Correct 12 ms 1484 KB Output is correct
83 Correct 13 ms 1492 KB Output is correct
84 Correct 12 ms 1520 KB Output is correct
85 Correct 12 ms 1548 KB Output is correct
86 Correct 14 ms 1492 KB Output is correct
87 Correct 15 ms 1460 KB Output is correct
88 Correct 16 ms 1484 KB Output is correct
89 Correct 14 ms 1572 KB Output is correct
90 Correct 14 ms 1452 KB Output is correct
91 Correct 21 ms 2264 KB Output is correct
92 Correct 20 ms 2208 KB Output is correct
93 Correct 20 ms 2248 KB Output is correct
94 Correct 20 ms 2184 KB Output is correct
95 Correct 20 ms 2256 KB Output is correct
96 Incorrect 23 ms 2632 KB Output isn't correct
97 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 324 KB Output is correct
3 Correct 1 ms 340 KB Output is correct
4 Correct 0 ms 340 KB Output is correct
5 Correct 1 ms 340 KB Output is correct
6 Correct 1 ms 328 KB Output is correct
7 Correct 0 ms 340 KB Output is correct
8 Correct 0 ms 340 KB Output is correct
9 Correct 1 ms 340 KB Output is correct
10 Correct 1 ms 324 KB Output is correct
11 Correct 1 ms 332 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 996 KB Output is correct
15 Correct 10 ms 1748 KB Output is correct
16 Correct 17 ms 2000 KB Output is correct
17 Correct 16 ms 2496 KB Output is correct
18 Correct 18 ms 2072 KB Output is correct
19 Correct 18 ms 2088 KB Output is correct
20 Correct 16 ms 2164 KB Output is correct
21 Correct 17 ms 2168 KB Output is correct
22 Correct 15 ms 1992 KB Output is correct
23 Correct 17 ms 2076 KB Output is correct
24 Correct 16 ms 2072 KB Output is correct
25 Correct 16 ms 2068 KB Output is correct
26 Correct 0 ms 328 KB Output is correct
27 Correct 1 ms 332 KB Output is correct
28 Correct 1 ms 340 KB Output is correct
29 Correct 8 ms 980 KB Output is correct
30 Correct 12 ms 1584 KB Output is correct
31 Correct 18 ms 2084 KB Output is correct
32 Correct 16 ms 1964 KB Output is correct
33 Correct 16 ms 1988 KB Output is correct
34 Correct 17 ms 1940 KB Output is correct
35 Correct 17 ms 1952 KB Output is correct
36 Correct 16 ms 2028 KB Output is correct
37 Correct 16 ms 2044 KB Output is correct
38 Correct 16 ms 2116 KB Output is correct
39 Correct 20 ms 2060 KB Output is correct
40 Correct 15 ms 2020 KB Output is correct
41 Correct 1 ms 340 KB Output is correct
42 Correct 1 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 4 ms 708 KB Output is correct
48 Correct 5 ms 724 KB Output is correct
49 Correct 6 ms 1148 KB Output is correct
50 Correct 19 ms 1532 KB Output is correct
51 Correct 18 ms 1828 KB Output is correct
52 Correct 18 ms 1868 KB Output is correct
53 Correct 19 ms 1848 KB Output is correct
54 Correct 21 ms 1852 KB Output is correct
55 Correct 19 ms 1840 KB Output is correct
56 Correct 19 ms 1884 KB Output is correct
57 Correct 19 ms 1820 KB Output is correct
58 Correct 18 ms 1824 KB Output is correct
59 Correct 18 ms 1868 KB Output is correct
60 Correct 18 ms 1836 KB Output is correct
61 Correct 19 ms 1816 KB Output is correct
62 Correct 18 ms 1872 KB Output is correct
63 Correct 22 ms 1996 KB Output is correct
64 Correct 21 ms 1800 KB Output is correct
65 Correct 19 ms 1888 KB Output is correct
66 Correct 18 ms 1908 KB Output is correct
67 Correct 18 ms 1868 KB Output is correct
68 Correct 18 ms 1868 KB Output is correct
69 Correct 18 ms 1856 KB Output is correct
70 Correct 18 ms 1904 KB Output is correct
71 Correct 4 ms 704 KB Output is correct
72 Correct 3 ms 724 KB Output is correct
73 Correct 3 ms 724 KB Output is correct
74 Correct 5 ms 724 KB Output is correct
75 Correct 4 ms 724 KB Output is correct
76 Correct 6 ms 1108 KB Output is correct
77 Correct 6 ms 1044 KB Output is correct
78 Correct 7 ms 1136 KB Output is correct
79 Correct 9 ms 1016 KB Output is correct
80 Correct 6 ms 1076 KB Output is correct
81 Correct 13 ms 1488 KB Output is correct
82 Correct 12 ms 1484 KB Output is correct
83 Correct 13 ms 1492 KB Output is correct
84 Correct 12 ms 1520 KB Output is correct
85 Correct 12 ms 1548 KB Output is correct
86 Correct 14 ms 1492 KB Output is correct
87 Correct 15 ms 1460 KB Output is correct
88 Correct 16 ms 1484 KB Output is correct
89 Correct 14 ms 1572 KB Output is correct
90 Correct 14 ms 1452 KB Output is correct
91 Correct 21 ms 2264 KB Output is correct
92 Correct 20 ms 2208 KB Output is correct
93 Correct 20 ms 2248 KB Output is correct
94 Correct 20 ms 2184 KB Output is correct
95 Correct 20 ms 2256 KB Output is correct
96 Incorrect 23 ms 2632 KB Output isn't correct
97 Halted 0 ms 0 KB -