oj.uz

Submission #827669

# Submission time Handle Problem Language Result Execution time Memory
827669 2023-08-16T16:12:31 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 = 500;
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 4 ms 724 KB Output is correct
5 Correct 9 ms 1036 KB Output is correct
6 Correct 14 ms 1412 KB Output is correct
7 Correct 12 ms 1480 KB Output is correct
8 Correct 13 ms 1492 KB Output is correct
9 Correct 13 ms 1492 KB Output is correct
10 Correct 13 ms 1492 KB Output is correct
11 Correct 13 ms 1492 KB Output is correct
12 Correct 13 ms 1492 KB Output is correct
13 Correct 13 ms 1492 KB Output is correct
14 Correct 14 ms 1492 KB Output is correct
15 Correct 15 ms 1440 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 4 ms 724 KB Output is correct
5 Correct 9 ms 1036 KB Output is correct
6 Correct 14 ms 1412 KB Output is correct
7 Correct 12 ms 1480 KB Output is correct
8 Correct 13 ms 1492 KB Output is correct
9 Correct 13 ms 1492 KB Output is correct
10 Correct 13 ms 1492 KB Output is correct
11 Correct 13 ms 1492 KB Output is correct
12 Correct 13 ms 1492 KB Output is correct
13 Correct 13 ms 1492 KB Output is correct
14 Correct 14 ms 1492 KB Output is correct
15 Correct 15 ms 1440 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 9 ms 1128 KB Output is correct
21 Correct 14 ms 1492 KB Output is correct
22 Correct 14 ms 1424 KB Output is correct
23 Correct 14 ms 1408 KB Output is correct
24 Correct 15 ms 1492 KB Output is correct
25 Correct 14 ms 1492 KB Output is correct
26 Correct 14 ms 1492 KB Output is correct
27 Correct 14 ms 1420 KB Output is correct
28 Correct 14 ms 1456 KB Output is correct
29 Correct 15 ms 1492 KB Output is correct
30 Correct 14 ms 1496 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 4 ms 724 KB Output is correct
5 Correct 9 ms 1036 KB Output is correct
6 Correct 14 ms 1412 KB Output is correct
7 Correct 12 ms 1480 KB Output is correct
8 Correct 13 ms 1492 KB Output is correct
9 Correct 13 ms 1492 KB Output is correct
10 Correct 13 ms 1492 KB Output is correct
11 Correct 13 ms 1492 KB Output is correct
12 Correct 13 ms 1492 KB Output is correct
13 Correct 13 ms 1492 KB Output is correct
14 Correct 14 ms 1492 KB Output is correct
15 Correct 15 ms 1440 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 9 ms 1128 KB Output is correct
21 Correct 14 ms 1492 KB Output is correct
22 Correct 14 ms 1424 KB Output is correct
23 Correct 14 ms 1408 KB Output is correct
24 Correct 15 ms 1492 KB Output is correct
25 Correct 14 ms 1492 KB Output is correct
26 Correct 14 ms 1492 KB Output is correct
27 Correct 14 ms 1420 KB Output is correct
28 Correct 14 ms 1456 KB Output is correct
29 Correct 15 ms 1492 KB Output is correct
30 Correct 14 ms 1496 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 3 ms 468 KB Output is correct
39 Correct 6 ms 756 KB Output is correct
40 Correct 11 ms 1080 KB Output is correct
41 Correct 16 ms 1492 KB Output is correct
42 Correct 17 ms 1492 KB Output is correct
43 Correct 16 ms 1500 KB Output is correct
44 Correct 16 ms 1492 KB Output is correct
45 Correct 16 ms 1532 KB Output is correct
46 Correct 17 ms 1444 KB Output is correct
47 Correct 17 ms 1472 KB Output is correct
48 Correct 17 ms 1484 KB Output is correct
49 Correct 16 ms 1444 KB Output is correct
50 Correct 16 ms 1492 KB Output is correct
51 Correct 16 ms 1492 KB Output is correct
52 Correct 16 ms 1476 KB Output is correct
53 Correct 16 ms 1508 KB Output is correct
54 Correct 16 ms 1552 KB Output is correct
55 Correct 16 ms 1492 KB Output is correct
56 Correct 20 ms 1436 KB Output is correct
57 Correct 16 ms 1468 KB Output is correct
58 Correct 16 ms 1520 KB Output is correct
59 Correct 16 ms 1492 KB Output is correct
60 Correct 16 ms 1560 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 4 ms 724 KB Output is correct
15 Correct 9 ms 1036 KB Output is correct
16 Correct 14 ms 1412 KB Output is correct
17 Correct 12 ms 1480 KB Output is correct
18 Correct 13 ms 1492 KB Output is correct
19 Correct 13 ms 1492 KB Output is correct
20 Correct 13 ms 1492 KB Output is correct
21 Correct 13 ms 1492 KB Output is correct
22 Correct 13 ms 1492 KB Output is correct
23 Correct 13 ms 1492 KB Output is correct
24 Correct 14 ms 1492 KB Output is correct
25 Correct 15 ms 1440 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 9 ms 1128 KB Output is correct
31 Correct 14 ms 1492 KB Output is correct
32 Correct 14 ms 1424 KB Output is correct
33 Correct 14 ms 1408 KB Output is correct
34 Correct 15 ms 1492 KB Output is correct
35 Correct 14 ms 1492 KB Output is correct
36 Correct 14 ms 1492 KB Output is correct
37 Correct 14 ms 1420 KB Output is correct
38 Correct 14 ms 1456 KB Output is correct
39 Correct 15 ms 1492 KB Output is correct
40 Correct 14 ms 1496 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 3 ms 468 KB Output is correct
49 Correct 6 ms 756 KB Output is correct
50 Correct 11 ms 1080 KB Output is correct
51 Correct 16 ms 1492 KB Output is correct
52 Correct 17 ms 1492 KB Output is correct
53 Correct 16 ms 1500 KB Output is correct
54 Correct 16 ms 1492 KB Output is correct
55 Correct 16 ms 1532 KB Output is correct
56 Correct 17 ms 1444 KB Output is correct
57 Correct 17 ms 1472 KB Output is correct
58 Correct 17 ms 1484 KB Output is correct
59 Correct 16 ms 1444 KB Output is correct
60 Correct 16 ms 1492 KB Output is correct
61 Correct 16 ms 1492 KB Output is correct
62 Correct 16 ms 1476 KB Output is correct
63 Correct 16 ms 1508 KB Output is correct
64 Correct 16 ms 1552 KB Output is correct
65 Correct 16 ms 1492 KB Output is correct
66 Correct 20 ms 1436 KB Output is correct
67 Correct 16 ms 1468 KB Output is correct
68 Correct 16 ms 1520 KB Output is correct
69 Correct 16 ms 1492 KB Output is correct
70 Correct 16 ms 1560 KB Output is correct
71 Correct 3 ms 468 KB Output is correct
72 Correct 3 ms 468 KB Output is correct
73 Correct 4 ms 544 KB Output is correct
74 Correct 3 ms 468 KB Output is correct
75 Correct 3 ms 468 KB Output is correct
76 Correct 6 ms 724 KB Output is correct
77 Correct 6 ms 708 KB Output is correct
78 Correct 6 ms 732 KB Output is correct
79 Correct 6 ms 724 KB Output is correct
80 Correct 6 ms 724 KB Output is correct
81 Correct 11 ms 1116 KB Output is correct
82 Correct 12 ms 1108 KB Output is correct
83 Correct 12 ms 1104 KB Output is correct
84 Correct 11 ms 1108 KB Output is correct
85 Correct 11 ms 1204 KB Output is correct
86 Correct 13 ms 1236 KB Output is correct
87 Correct 13 ms 1284 KB Output is correct
88 Correct 17 ms 1200 KB Output is correct
89 Correct 13 ms 1236 KB Output is correct
90 Correct 13 ms 1300 KB Output is correct
91 Correct 20 ms 2208 KB Output is correct
92 Correct 21 ms 2220 KB Output is correct
93 Correct 19 ms 2284 KB Output is correct
94 Correct 20 ms 2260 KB Output is correct
95 Correct 22 ms 2272 KB Output is correct
96 Correct 27 ms 3120 KB Output is correct
97 Correct 23 ms 2960 KB Output is correct
98 Correct 22 ms 3020 KB Output is correct
99 Correct 24 ms 3004 KB Output is correct
100 Correct 23 ms 3000 KB Output is correct
101 Correct 22 ms 3020 KB Output is correct
102 Correct 23 ms 3028 KB Output is correct
103 Correct 29 ms 3052 KB Output is correct
104 Correct 22 ms 2980 KB Output is correct
105 Correct 23 ms 2980 KB Output is correct
106 Correct 22 ms 3420 KB Output is correct
107 Correct 25 ms 3360 KB Output is correct
108 Correct 23 ms 3352 KB Output is correct
109 Correct 26 ms 3404 KB Output is correct
110 Correct 23 ms 3392 KB Output is correct
111 Correct 23 ms 3340 KB Output is correct
112 Correct 25 ms 3380 KB Output is correct
113 Correct 23 ms 3384 KB Output is correct
114 Correct 23 ms 3412 KB Output is correct
115 Correct 23 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 4 ms 724 KB Output is correct
15 Correct 9 ms 1036 KB Output is correct
16 Correct 14 ms 1412 KB Output is correct
17 Correct 12 ms 1480 KB Output is correct
18 Correct 13 ms 1492 KB Output is correct
19 Correct 13 ms 1492 KB Output is correct
20 Correct 13 ms 1492 KB Output is correct
21 Correct 13 ms 1492 KB Output is correct
22 Correct 13 ms 1492 KB Output is correct
23 Correct 13 ms 1492 KB Output is correct
24 Correct 14 ms 1492 KB Output is correct
25 Correct 15 ms 1440 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 9 ms 1128 KB Output is correct
31 Correct 14 ms 1492 KB Output is correct
32 Correct 14 ms 1424 KB Output is correct
33 Correct 14 ms 1408 KB Output is correct
34 Correct 15 ms 1492 KB Output is correct
35 Correct 14 ms 1492 KB Output is correct
36 Correct 14 ms 1492 KB Output is correct
37 Correct 14 ms 1420 KB Output is correct
38 Correct 14 ms 1456 KB Output is correct
39 Correct 15 ms 1492 KB Output is correct
40 Correct 14 ms 1496 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 3 ms 468 KB Output is correct
49 Correct 6 ms 756 KB Output is correct
50 Correct 11 ms 1080 KB Output is correct
51 Correct 16 ms 1492 KB Output is correct
52 Correct 17 ms 1492 KB Output is correct
53 Correct 16 ms 1500 KB Output is correct
54 Correct 16 ms 1492 KB Output is correct
55 Correct 16 ms 1532 KB Output is correct
56 Correct 17 ms 1444 KB Output is correct
57 Correct 17 ms 1472 KB Output is correct
58 Correct 17 ms 1484 KB Output is correct
59 Correct 16 ms 1444 KB Output is correct
60 Correct 16 ms 1492 KB Output is correct
61 Correct 16 ms 1492 KB Output is correct
62 Correct 16 ms 1476 KB Output is correct
63 Correct 16 ms 1508 KB Output is correct
64 Correct 16 ms 1552 KB Output is correct
65 Correct 16 ms 1492 KB Output is correct
66 Correct 20 ms 1436 KB Output is correct
67 Correct 16 ms 1468 KB Output is correct
68 Correct 16 ms 1520 KB Output is correct
69 Correct 16 ms 1492 KB Output is correct
70 Correct 16 ms 1560 KB Output is correct
71 Correct 3 ms 468 KB Output is correct
72 Correct 3 ms 468 KB Output is correct
73 Correct 4 ms 544 KB Output is correct
74 Correct 3 ms 468 KB Output is correct
75 Correct 3 ms 468 KB Output is correct
76 Correct 6 ms 724 KB Output is correct
77 Correct 6 ms 708 KB Output is correct
78 Correct 6 ms 732 KB Output is correct
79 Correct 6 ms 724 KB Output is correct
80 Correct 6 ms 724 KB Output is correct
81 Correct 11 ms 1116 KB Output is correct
82 Correct 12 ms 1108 KB Output is correct
83 Correct 12 ms 1104 KB Output is correct
84 Correct 11 ms 1108 KB Output is correct
85 Correct 11 ms 1204 KB Output is correct
86 Correct 13 ms 1236 KB Output is correct
87 Correct 13 ms 1284 KB Output is correct
88 Correct 17 ms 1200 KB Output is correct
89 Correct 13 ms 1236 KB Output is correct
90 Correct 13 ms 1300 KB Output is correct
91 Correct 20 ms 2208 KB Output is correct
92 Correct 21 ms 2220 KB Output is correct
93 Correct 19 ms 2284 KB Output is correct
94 Correct 20 ms 2260 KB Output is correct
95 Correct 22 ms 2272 KB Output is correct
96 Correct 27 ms 3120 KB Output is correct
97 Correct 23 ms 2960 KB Output is correct
98 Correct 22 ms 3020 KB Output is correct
99 Correct 24 ms 3004 KB Output is correct
100 Correct 23 ms 3000 KB Output is correct
101 Correct 22 ms 3020 KB Output is correct
102 Correct 23 ms 3028 KB Output is correct
103 Correct 29 ms 3052 KB Output is correct
104 Correct 22 ms 2980 KB Output is correct
105 Correct 23 ms 2980 KB Output is correct
106 Correct 22 ms 3420 KB Output is correct
107 Correct 25 ms 3360 KB Output is correct
108 Correct 23 ms 3352 KB Output is correct
109 Correct 26 ms 3404 KB Output is correct
110 Correct 23 ms 3392 KB Output is correct
111 Correct 23 ms 3340 KB Output is correct
112 Correct 25 ms 3380 KB Output is correct
113 Correct 23 ms 3384 KB Output is correct
114 Correct 23 ms 3412 KB Output is correct
115 Correct 23 ms 3456 KB Output is correct
116 Correct 1080 ms 2348 KB Output is correct
117 Correct 590 ms 2440 KB Output is correct
118 Correct 5147 ms 2656 KB Output is correct
119 Correct 2578 ms 2604 KB Output is correct
120 Correct 2226 ms 2784 KB Output is correct
121 Correct 5270 ms 2880 KB Output is correct
122 Correct 5597 ms 2880 KB Output is correct
123 Execution timed out 7073 ms 2528 KB Time limit exceeded
124 Halted 0 ms 0 KB -