oj.uz

Submission #827672

# Submission time Handle Problem Language Result Execution time Memory
827672 2023-08-16T16:14:14 Z NeroZein Diversity (CEOI21_diversity) C++17
64 / 100
 7000 ms 3456 KB 
#include "bits/stdc++.h"
using namespace std;
 
#ifdef Nero
#include "Deb.h"
#else
#define deb(...)
#endif

const int B = 425;
const int N = 3e5 + 5;
 
int a[N]; 
int freq[N];
int tot_freq[N];
long long res[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 724 KB Output is correct
5 Correct 8 ms 1108 KB Output is correct
6 Correct 13 ms 1468 KB Output is correct
7 Correct 13 ms 1492 KB Output is correct
8 Correct 16 ms 1448 KB Output is correct
9 Correct 15 ms 1400 KB Output is correct
10 Correct 13 ms 1472 KB Output is correct
11 Correct 13 ms 1452 KB Output is correct
12 Correct 13 ms 1396 KB Output is correct
13 Correct 14 ms 1492 KB Output is correct
14 Correct 15 ms 1492 KB Output is correct
15 Correct 16 ms 1444 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 724 KB Output is correct
5 Correct 8 ms 1108 KB Output is correct
6 Correct 13 ms 1468 KB Output is correct
7 Correct 13 ms 1492 KB Output is correct
8 Correct 16 ms 1448 KB Output is correct
9 Correct 15 ms 1400 KB Output is correct
10 Correct 13 ms 1472 KB Output is correct
11 Correct 13 ms 1452 KB Output is correct
12 Correct 13 ms 1396 KB Output is correct
13 Correct 14 ms 1492 KB Output is correct
14 Correct 15 ms 1492 KB Output is correct
15 Correct 16 ms 1444 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 5 ms 724 KB Output is correct
20 Correct 10 ms 1108 KB Output is correct
21 Correct 20 ms 1448 KB Output is correct
22 Correct 17 ms 1492 KB Output is correct
23 Correct 14 ms 1500 KB Output is correct
24 Correct 14 ms 1452 KB Output is correct
25 Correct 15 ms 1496 KB Output is correct
26 Correct 14 ms 1492 KB Output is correct
27 Correct 14 ms 1440 KB Output is correct
28 Correct 21 ms 1440 KB Output is correct
29 Correct 14 ms 1492 KB Output is correct
30 Correct 14 ms 1408 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 724 KB Output is correct
5 Correct 8 ms 1108 KB Output is correct
6 Correct 13 ms 1468 KB Output is correct
7 Correct 13 ms 1492 KB Output is correct
8 Correct 16 ms 1448 KB Output is correct
9 Correct 15 ms 1400 KB Output is correct
10 Correct 13 ms 1472 KB Output is correct
11 Correct 13 ms 1452 KB Output is correct
12 Correct 13 ms 1396 KB Output is correct
13 Correct 14 ms 1492 KB Output is correct
14 Correct 15 ms 1492 KB Output is correct
15 Correct 16 ms 1444 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 5 ms 724 KB Output is correct
20 Correct 10 ms 1108 KB Output is correct
21 Correct 20 ms 1448 KB Output is correct
22 Correct 17 ms 1492 KB Output is correct
23 Correct 14 ms 1500 KB Output is correct
24 Correct 14 ms 1452 KB Output is correct
25 Correct 15 ms 1496 KB Output is correct
26 Correct 14 ms 1492 KB Output is correct
27 Correct 14 ms 1440 KB Output is correct
28 Correct 21 ms 1440 KB Output is correct
29 Correct 14 ms 1492 KB Output is correct
30 Correct 14 ms 1408 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 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 468 KB Output is correct
38 Correct 4 ms 544 KB Output is correct
39 Correct 9 ms 724 KB Output is correct
40 Correct 11 ms 1120 KB Output is correct
41 Correct 22 ms 1504 KB Output is correct
42 Correct 16 ms 1492 KB Output is correct
43 Correct 25 ms 1476 KB Output is correct
44 Correct 17 ms 1524 KB Output is correct
45 Correct 24 ms 1492 KB Output is correct
46 Correct 16 ms 1432 KB Output is correct
47 Correct 25 ms 1508 KB Output is correct
48 Correct 16 ms 1520 KB Output is correct
49 Correct 20 ms 1492 KB Output is correct
50 Correct 17 ms 1492 KB Output is correct
51 Correct 16 ms 1492 KB Output is correct
52 Correct 17 ms 1508 KB Output is correct
53 Correct 16 ms 1492 KB Output is correct
54 Correct 16 ms 1544 KB Output is correct
55 Correct 23 ms 1508 KB Output is correct
56 Correct 16 ms 1492 KB Output is correct
57 Correct 16 ms 1520 KB Output is correct
58 Correct 17 ms 1472 KB Output is correct
59 Correct 17 ms 1492 KB Output is correct
60 Correct 17 ms 1508 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 724 KB Output is correct
15 Correct 8 ms 1108 KB Output is correct
16 Correct 13 ms 1468 KB Output is correct
17 Correct 13 ms 1492 KB Output is correct
18 Correct 16 ms 1448 KB Output is correct
19 Correct 15 ms 1400 KB Output is correct
20 Correct 13 ms 1472 KB Output is correct
21 Correct 13 ms 1452 KB Output is correct
22 Correct 13 ms 1396 KB Output is correct
23 Correct 14 ms 1492 KB Output is correct
24 Correct 15 ms 1492 KB Output is correct
25 Correct 16 ms 1444 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 5 ms 724 KB Output is correct
30 Correct 10 ms 1108 KB Output is correct
31 Correct 20 ms 1448 KB Output is correct
32 Correct 17 ms 1492 KB Output is correct
33 Correct 14 ms 1500 KB Output is correct
34 Correct 14 ms 1452 KB Output is correct
35 Correct 15 ms 1496 KB Output is correct
36 Correct 14 ms 1492 KB Output is correct
37 Correct 14 ms 1440 KB Output is correct
38 Correct 21 ms 1440 KB Output is correct
39 Correct 14 ms 1492 KB Output is correct
40 Correct 14 ms 1408 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 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 468 KB Output is correct
48 Correct 4 ms 544 KB Output is correct
49 Correct 9 ms 724 KB Output is correct
50 Correct 11 ms 1120 KB Output is correct
51 Correct 22 ms 1504 KB Output is correct
52 Correct 16 ms 1492 KB Output is correct
53 Correct 25 ms 1476 KB Output is correct
54 Correct 17 ms 1524 KB Output is correct
55 Correct 24 ms 1492 KB Output is correct
56 Correct 16 ms 1432 KB Output is correct
57 Correct 25 ms 1508 KB Output is correct
58 Correct 16 ms 1520 KB Output is correct
59 Correct 20 ms 1492 KB Output is correct
60 Correct 17 ms 1492 KB Output is correct
61 Correct 16 ms 1492 KB Output is correct
62 Correct 17 ms 1508 KB Output is correct
63 Correct 16 ms 1492 KB Output is correct
64 Correct 16 ms 1544 KB Output is correct
65 Correct 23 ms 1508 KB Output is correct
66 Correct 16 ms 1492 KB Output is correct
67 Correct 16 ms 1520 KB Output is correct
68 Correct 17 ms 1472 KB Output is correct
69 Correct 17 ms 1492 KB Output is correct
70 Correct 17 ms 1508 KB Output is correct
71 Correct 3 ms 468 KB Output is correct
72 Correct 3 ms 468 KB Output is correct
73 Correct 3 ms 468 KB Output is correct
74 Correct 5 ms 468 KB Output is correct
75 Correct 6 ms 468 KB Output is correct
76 Correct 8 ms 724 KB Output is correct
77 Correct 10 ms 772 KB Output is correct
78 Correct 6 ms 724 KB Output is correct
79 Correct 6 ms 664 KB Output is correct
80 Correct 6 ms 752 KB Output is correct
81 Correct 11 ms 1108 KB Output is correct
82 Correct 11 ms 1108 KB Output is correct
83 Correct 13 ms 1116 KB Output is correct
84 Correct 15 ms 1144 KB Output is correct
85 Correct 12 ms 1132 KB Output is correct
86 Correct 13 ms 1188 KB Output is correct
87 Correct 16 ms 1236 KB Output is correct
88 Correct 13 ms 1240 KB Output is correct
89 Correct 13 ms 1164 KB Output is correct
90 Correct 16 ms 1260 KB Output is correct
91 Correct 23 ms 2160 KB Output is correct
92 Correct 22 ms 2224 KB Output is correct
93 Correct 25 ms 2236 KB Output is correct
94 Correct 20 ms 2260 KB Output is correct
95 Correct 22 ms 2292 KB Output is correct
96 Correct 25 ms 3008 KB Output is correct
97 Correct 23 ms 3092 KB Output is correct
98 Correct 23 ms 3068 KB Output is correct
99 Correct 23 ms 3028 KB Output is correct
100 Correct 24 ms 3060 KB Output is correct
101 Correct 23 ms 3020 KB Output is correct
102 Correct 23 ms 3068 KB Output is correct
103 Correct 24 ms 2964 KB Output is correct
104 Correct 23 ms 3072 KB Output is correct
105 Correct 36 ms 2944 KB Output is correct
106 Correct 34 ms 3380 KB Output is correct
107 Correct 25 ms 3448 KB Output is correct
108 Correct 26 ms 3376 KB Output is correct
109 Correct 23 ms 3352 KB Output is correct
110 Correct 28 ms 3452 KB Output is correct
111 Correct 23 ms 3392 KB Output is correct
112 Correct 23 ms 3356 KB Output is correct
113 Correct 23 ms 3444 KB Output is correct
114 Correct 35 ms 3376 KB Output is correct
115 Correct 26 ms 3456 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 724 KB Output is correct
15 Correct 8 ms 1108 KB Output is correct
16 Correct 13 ms 1468 KB Output is correct
17 Correct 13 ms 1492 KB Output is correct
18 Correct 16 ms 1448 KB Output is correct
19 Correct 15 ms 1400 KB Output is correct
20 Correct 13 ms 1472 KB Output is correct
21 Correct 13 ms 1452 KB Output is correct
22 Correct 13 ms 1396 KB Output is correct
23 Correct 14 ms 1492 KB Output is correct
24 Correct 15 ms 1492 KB Output is correct
25 Correct 16 ms 1444 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 5 ms 724 KB Output is correct
30 Correct 10 ms 1108 KB Output is correct
31 Correct 20 ms 1448 KB Output is correct
32 Correct 17 ms 1492 KB Output is correct
33 Correct 14 ms 1500 KB Output is correct
34 Correct 14 ms 1452 KB Output is correct
35 Correct 15 ms 1496 KB Output is correct
36 Correct 14 ms 1492 KB Output is correct
37 Correct 14 ms 1440 KB Output is correct
38 Correct 21 ms 1440 KB Output is correct
39 Correct 14 ms 1492 KB Output is correct
40 Correct 14 ms 1408 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 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 468 KB Output is correct
48 Correct 4 ms 544 KB Output is correct
49 Correct 9 ms 724 KB Output is correct
50 Correct 11 ms 1120 KB Output is correct
51 Correct 22 ms 1504 KB Output is correct
52 Correct 16 ms 1492 KB Output is correct
53 Correct 25 ms 1476 KB Output is correct
54 Correct 17 ms 1524 KB Output is correct
55 Correct 24 ms 1492 KB Output is correct
56 Correct 16 ms 1432 KB Output is correct
57 Correct 25 ms 1508 KB Output is correct
58 Correct 16 ms 1520 KB Output is correct
59 Correct 20 ms 1492 KB Output is correct
60 Correct 17 ms 1492 KB Output is correct
61 Correct 16 ms 1492 KB Output is correct
62 Correct 17 ms 1508 KB Output is correct
63 Correct 16 ms 1492 KB Output is correct
64 Correct 16 ms 1544 KB Output is correct
65 Correct 23 ms 1508 KB Output is correct
66 Correct 16 ms 1492 KB Output is correct
67 Correct 16 ms 1520 KB Output is correct
68 Correct 17 ms 1472 KB Output is correct
69 Correct 17 ms 1492 KB Output is correct
70 Correct 17 ms 1508 KB Output is correct
71 Correct 3 ms 468 KB Output is correct
72 Correct 3 ms 468 KB Output is correct
73 Correct 3 ms 468 KB Output is correct
74 Correct 5 ms 468 KB Output is correct
75 Correct 6 ms 468 KB Output is correct
76 Correct 8 ms 724 KB Output is correct
77 Correct 10 ms 772 KB Output is correct
78 Correct 6 ms 724 KB Output is correct
79 Correct 6 ms 664 KB Output is correct
80 Correct 6 ms 752 KB Output is correct
81 Correct 11 ms 1108 KB Output is correct
82 Correct 11 ms 1108 KB Output is correct
83 Correct 13 ms 1116 KB Output is correct
84 Correct 15 ms 1144 KB Output is correct
85 Correct 12 ms 1132 KB Output is correct
86 Correct 13 ms 1188 KB Output is correct
87 Correct 16 ms 1236 KB Output is correct
88 Correct 13 ms 1240 KB Output is correct
89 Correct 13 ms 1164 KB Output is correct
90 Correct 16 ms 1260 KB Output is correct
91 Correct 23 ms 2160 KB Output is correct
92 Correct 22 ms 2224 KB Output is correct
93 Correct 25 ms 2236 KB Output is correct
94 Correct 20 ms 2260 KB Output is correct
95 Correct 22 ms 2292 KB Output is correct
96 Correct 25 ms 3008 KB Output is correct
97 Correct 23 ms 3092 KB Output is correct
98 Correct 23 ms 3068 KB Output is correct
99 Correct 23 ms 3028 KB Output is correct
100 Correct 24 ms 3060 KB Output is correct
101 Correct 23 ms 3020 KB Output is correct
102 Correct 23 ms 3068 KB Output is correct
103 Correct 24 ms 2964 KB Output is correct
104 Correct 23 ms 3072 KB Output is correct
105 Correct 36 ms 2944 KB Output is correct
106 Correct 34 ms 3380 KB Output is correct
107 Correct 25 ms 3448 KB Output is correct
108 Correct 26 ms 3376 KB Output is correct
109 Correct 23 ms 3352 KB Output is correct
110 Correct 28 ms 3452 KB Output is correct
111 Correct 23 ms 3392 KB Output is correct
112 Correct 23 ms 3356 KB Output is correct
113 Correct 23 ms 3444 KB Output is correct
114 Correct 35 ms 3376 KB Output is correct
115 Correct 26 ms 3456 KB Output is correct
116 Correct 1203 ms 2376 KB Output is correct
117 Correct 713 ms 2420 KB Output is correct
118 Correct 4383 ms 2636 KB Output is correct
119 Correct 2633 ms 2660 KB Output is correct
120 Correct 2400 ms 2648 KB Output is correct
121 Correct 6235 ms 2948 KB Output is correct
122 Correct 4696 ms 2892 KB Output is correct
123 Execution timed out 7012 ms 2592 KB Time limit exceeded
124 Halted 0 ms 0 KB -