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답안 #827535

# 제출 시각 아이디 문제 언어 결과 실행 시간 메모리
827535 2023-08-16T14:25:50 Z NeroZein Diversity (CEOI21_diversity) C++17
64 / 100
 7000 ms 6544 KB 
#include "bits/stdc++.h"
#define int long long
using namespace std;
 
#ifdef Nero
#include "Deb.h"
#else
#define deb(...)
#endif

const int N = 3e5 + 5;

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

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.erase(se.find(freq[a[i]]));    
    }
    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.insert(freq[a[i]]);      
    }
  }
}

vector<pair<int, int>> construct() {
  vector<pair<int, int>> left;
  vector<pair<int, int>> right;
  bool go_left = true;
  for (auto i : se) {
    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) {
  long long last = 0;
  long long ret = 0; 
  long long without = 0; 
  long long normal_sum = 0;
  long long times_freq_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 += 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; 
    times_freq_sum += without * rep + prop(rep) * element_freq; 
    without += prop(rep) * element_freq;
    normal_sum += 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 (l < ql) modify(l++, -1);
    while (r < qr) modify(++r, 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

# 결과 실행 시간 메모리 Grader output
1 Correct 1 ms 340 KB Output is correct
2 Correct 0 ms 340 KB Output is correct
3 Correct 0 ms 324 KB Output is correct
4 Correct 0 ms 340 KB Output is correct
5 Correct 1 ms 340 KB Output is correct
6 Correct 0 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

# 결과 실행 시간 메모리 Grader output
1 Correct 1 ms 340 KB Output is correct
2 Correct 1 ms 340 KB Output is correct
3 Correct 2 ms 340 KB Output is correct
4 Correct 10 ms 1508 KB Output is correct
5 Correct 20 ms 2776 KB Output is correct
6 Correct 32 ms 3780 KB Output is correct
7 Correct 28 ms 4452 KB Output is correct
8 Correct 32 ms 3676 KB Output is correct
9 Correct 40 ms 3616 KB Output is correct
10 Correct 30 ms 4016 KB Output is correct
11 Correct 31 ms 3880 KB Output is correct
12 Correct 32 ms 3680 KB Output is correct
13 Correct 31 ms 3680 KB Output is correct
14 Correct 34 ms 3840 KB Output is correct
15 Correct 31 ms 3740 KB Output is correct

Subtask #3
8.0 / 8.0

# 결과 실행 시간 메모리 Grader output
1 Correct 1 ms 340 KB Output is correct
2 Correct 1 ms 340 KB Output is correct
3 Correct 2 ms 340 KB Output is correct
4 Correct 10 ms 1508 KB Output is correct
5 Correct 20 ms 2776 KB Output is correct
6 Correct 32 ms 3780 KB Output is correct
7 Correct 28 ms 4452 KB Output is correct
8 Correct 32 ms 3676 KB Output is correct
9 Correct 40 ms 3616 KB Output is correct
10 Correct 30 ms 4016 KB Output is correct
11 Correct 31 ms 3880 KB Output is correct
12 Correct 32 ms 3680 KB Output is correct
13 Correct 31 ms 3680 KB Output is correct
14 Correct 34 ms 3840 KB Output is correct
15 Correct 31 ms 3740 KB Output is correct
16 Correct 0 ms 340 KB Output is correct
17 Correct 1 ms 340 KB Output is correct
18 Correct 2 ms 460 KB Output is correct
19 Correct 12 ms 1552 KB Output is correct
20 Correct 24 ms 2660 KB Output is correct
21 Correct 42 ms 3952 KB Output is correct
22 Correct 45 ms 3748 KB Output is correct
23 Correct 41 ms 3864 KB Output is correct
24 Correct 36 ms 3660 KB Output is correct
25 Correct 37 ms 3684 KB Output is correct
26 Correct 44 ms 3668 KB Output is correct
27 Correct 36 ms 3788 KB Output is correct
28 Correct 35 ms 3892 KB Output is correct
29 Correct 36 ms 3716 KB Output is correct
30 Correct 36 ms 3792 KB Output is correct

Subtask #4
16.0 / 16.0

# 결과 실행 시간 메모리 Grader output
1 Correct 1 ms 340 KB Output is correct
2 Correct 1 ms 340 KB Output is correct
3 Correct 2 ms 340 KB Output is correct
4 Correct 10 ms 1508 KB Output is correct
5 Correct 20 ms 2776 KB Output is correct
6 Correct 32 ms 3780 KB Output is correct
7 Correct 28 ms 4452 KB Output is correct
8 Correct 32 ms 3676 KB Output is correct
9 Correct 40 ms 3616 KB Output is correct
10 Correct 30 ms 4016 KB Output is correct
11 Correct 31 ms 3880 KB Output is correct
12 Correct 32 ms 3680 KB Output is correct
13 Correct 31 ms 3680 KB Output is correct
14 Correct 34 ms 3840 KB Output is correct
15 Correct 31 ms 3740 KB Output is correct
16 Correct 0 ms 340 KB Output is correct
17 Correct 1 ms 340 KB Output is correct
18 Correct 2 ms 460 KB Output is correct
19 Correct 12 ms 1552 KB Output is correct
20 Correct 24 ms 2660 KB Output is correct
21 Correct 42 ms 3952 KB Output is correct
22 Correct 45 ms 3748 KB Output is correct
23 Correct 41 ms 3864 KB Output is correct
24 Correct 36 ms 3660 KB Output is correct
25 Correct 37 ms 3684 KB Output is correct
26 Correct 44 ms 3668 KB Output is correct
27 Correct 36 ms 3788 KB Output is correct
28 Correct 35 ms 3892 KB Output is correct
29 Correct 36 ms 3716 KB Output is correct
30 Correct 36 ms 3792 KB Output is correct
31 Correct 1 ms 340 KB Output is correct
32 Correct 1 ms 324 KB Output is correct
33 Correct 1 ms 340 KB Output is correct
34 Correct 2 ms 464 KB Output is correct
35 Correct 1 ms 468 KB Output is correct
36 Correct 1 ms 468 KB Output is correct
37 Correct 5 ms 852 KB Output is correct
38 Correct 4 ms 856 KB Output is correct
39 Correct 8 ms 1484 KB Output is correct
40 Correct 18 ms 2644 KB Output is correct
41 Correct 35 ms 3976 KB Output is correct
42 Correct 30 ms 3920 KB Output is correct
43 Correct 31 ms 3916 KB Output is correct
44 Correct 30 ms 3896 KB Output is correct
45 Correct 30 ms 3860 KB Output is correct
46 Correct 30 ms 3880 KB Output is correct
47 Correct 29 ms 3856 KB Output is correct
48 Correct 30 ms 3904 KB Output is correct
49 Correct 30 ms 3856 KB Output is correct
50 Correct 31 ms 3848 KB Output is correct
51 Correct 30 ms 3852 KB Output is correct
52 Correct 36 ms 3912 KB Output is correct
53 Correct 30 ms 3872 KB Output is correct
54 Correct 30 ms 3860 KB Output is correct
55 Correct 30 ms 3868 KB Output is correct
56 Correct 31 ms 3796 KB Output is correct
57 Correct 29 ms 3796 KB Output is correct
58 Correct 30 ms 3872 KB Output is correct
59 Correct 30 ms 3916 KB Output is correct
60 Correct 29 ms 3804 KB Output is correct

Subtask #5
26.0 / 26.0

# 결과 실행 시간 메모리 Grader output
1 Correct 1 ms 340 KB Output is correct
2 Correct 0 ms 340 KB Output is correct
3 Correct 0 ms 324 KB Output is correct
4 Correct 0 ms 340 KB Output is correct
5 Correct 1 ms 340 KB Output is correct
6 Correct 0 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 1 ms 340 KB Output is correct
12 Correct 1 ms 340 KB Output is correct
13 Correct 2 ms 340 KB Output is correct
14 Correct 10 ms 1508 KB Output is correct
15 Correct 20 ms 2776 KB Output is correct
16 Correct 32 ms 3780 KB Output is correct
17 Correct 28 ms 4452 KB Output is correct
18 Correct 32 ms 3676 KB Output is correct
19 Correct 40 ms 3616 KB Output is correct
20 Correct 30 ms 4016 KB Output is correct
21 Correct 31 ms 3880 KB Output is correct
22 Correct 32 ms 3680 KB Output is correct
23 Correct 31 ms 3680 KB Output is correct
24 Correct 34 ms 3840 KB Output is correct
25 Correct 31 ms 3740 KB Output is correct
26 Correct 0 ms 340 KB Output is correct
27 Correct 1 ms 340 KB Output is correct
28 Correct 2 ms 460 KB Output is correct
29 Correct 12 ms 1552 KB Output is correct
30 Correct 24 ms 2660 KB Output is correct
31 Correct 42 ms 3952 KB Output is correct
32 Correct 45 ms 3748 KB Output is correct
33 Correct 41 ms 3864 KB Output is correct
34 Correct 36 ms 3660 KB Output is correct
35 Correct 37 ms 3684 KB Output is correct
36 Correct 44 ms 3668 KB Output is correct
37 Correct 36 ms 3788 KB Output is correct
38 Correct 35 ms 3892 KB Output is correct
39 Correct 36 ms 3716 KB Output is correct
40 Correct 36 ms 3792 KB Output is correct
41 Correct 1 ms 340 KB Output is correct
42 Correct 1 ms 324 KB Output is correct
43 Correct 1 ms 340 KB Output is correct
44 Correct 2 ms 464 KB Output is correct
45 Correct 1 ms 468 KB Output is correct
46 Correct 1 ms 468 KB Output is correct
47 Correct 5 ms 852 KB Output is correct
48 Correct 4 ms 856 KB Output is correct
49 Correct 8 ms 1484 KB Output is correct
50 Correct 18 ms 2644 KB Output is correct
51 Correct 35 ms 3976 KB Output is correct
52 Correct 30 ms 3920 KB Output is correct
53 Correct 31 ms 3916 KB Output is correct
54 Correct 30 ms 3896 KB Output is correct
55 Correct 30 ms 3860 KB Output is correct
56 Correct 30 ms 3880 KB Output is correct
57 Correct 29 ms 3856 KB Output is correct
58 Correct 30 ms 3904 KB Output is correct
59 Correct 30 ms 3856 KB Output is correct
60 Correct 31 ms 3848 KB Output is correct
61 Correct 30 ms 3852 KB Output is correct
62 Correct 36 ms 3912 KB Output is correct
63 Correct 30 ms 3872 KB Output is correct
64 Correct 30 ms 3860 KB Output is correct
65 Correct 30 ms 3868 KB Output is correct
66 Correct 31 ms 3796 KB Output is correct
67 Correct 29 ms 3796 KB Output is correct
68 Correct 30 ms 3872 KB Output is correct
69 Correct 30 ms 3916 KB Output is correct
70 Correct 29 ms 3804 KB Output is correct
71 Correct 4 ms 980 KB Output is correct
72 Correct 4 ms 976 KB Output is correct
73 Correct 4 ms 980 KB Output is correct
74 Correct 4 ms 980 KB Output is correct
75 Correct 4 ms 980 KB Output is correct
76 Correct 6 ms 1620 KB Output is correct
77 Correct 6 ms 1656 KB Output is correct
78 Correct 10 ms 1616 KB Output is correct
79 Correct 6 ms 1620 KB Output is correct
80 Correct 6 ms 1640 KB Output is correct
81 Correct 12 ms 2864 KB Output is correct
82 Correct 12 ms 2896 KB Output is correct
83 Correct 12 ms 2860 KB Output is correct
84 Correct 14 ms 2936 KB Output is correct
85 Correct 12 ms 2860 KB Output is correct
86 Correct 14 ms 3032 KB Output is correct
87 Correct 14 ms 3096 KB Output is correct
88 Correct 14 ms 3064 KB Output is correct
89 Correct 14 ms 3152 KB Output is correct
90 Correct 14 ms 3080 KB Output is correct
91 Correct 21 ms 5120 KB Output is correct
92 Correct 21 ms 5192 KB Output is correct
93 Correct 21 ms 5076 KB Output is correct
94 Correct 27 ms 5096 KB Output is correct
95 Correct 21 ms 5068 KB Output is correct
96 Correct 23 ms 6080 KB Output is correct
97 Correct 24 ms 6100 KB Output is correct
98 Correct 24 ms 6028 KB Output is correct
99 Correct 28 ms 6092 KB Output is correct
100 Correct 24 ms 6100 KB Output is correct
101 Correct 24 ms 6028 KB Output is correct
102 Correct 36 ms 6100 KB Output is correct
103 Correct 37 ms 6036 KB Output is correct
104 Correct 35 ms 6036 KB Output is correct
105 Correct 24 ms 6028 KB Output is correct
106 Correct 24 ms 6476 KB Output is correct
107 Correct 24 ms 6480 KB Output is correct
108 Correct 24 ms 6508 KB Output is correct
109 Correct 24 ms 6428 KB Output is correct
110 Correct 23 ms 6452 KB Output is correct
111 Correct 23 ms 6480 KB Output is correct
112 Correct 23 ms 6472 KB Output is correct
113 Correct 23 ms 6544 KB Output is correct
114 Correct 29 ms 6496 KB Output is correct
115 Correct 23 ms 6480 KB Output is correct

Subtask #6
0 / 36.0

# 결과 실행 시간 메모리 Grader output
1 Correct 1 ms 340 KB Output is correct
2 Correct 0 ms 340 KB Output is correct
3 Correct 0 ms 324 KB Output is correct
4 Correct 0 ms 340 KB Output is correct
5 Correct 1 ms 340 KB Output is correct
6 Correct 0 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 1 ms 340 KB Output is correct
12 Correct 1 ms 340 KB Output is correct
13 Correct 2 ms 340 KB Output is correct
14 Correct 10 ms 1508 KB Output is correct
15 Correct 20 ms 2776 KB Output is correct
16 Correct 32 ms 3780 KB Output is correct
17 Correct 28 ms 4452 KB Output is correct
18 Correct 32 ms 3676 KB Output is correct
19 Correct 40 ms 3616 KB Output is correct
20 Correct 30 ms 4016 KB Output is correct
21 Correct 31 ms 3880 KB Output is correct
22 Correct 32 ms 3680 KB Output is correct
23 Correct 31 ms 3680 KB Output is correct
24 Correct 34 ms 3840 KB Output is correct
25 Correct 31 ms 3740 KB Output is correct
26 Correct 0 ms 340 KB Output is correct
27 Correct 1 ms 340 KB Output is correct
28 Correct 2 ms 460 KB Output is correct
29 Correct 12 ms 1552 KB Output is correct
30 Correct 24 ms 2660 KB Output is correct
31 Correct 42 ms 3952 KB Output is correct
32 Correct 45 ms 3748 KB Output is correct
33 Correct 41 ms 3864 KB Output is correct
34 Correct 36 ms 3660 KB Output is correct
35 Correct 37 ms 3684 KB Output is correct
36 Correct 44 ms 3668 KB Output is correct
37 Correct 36 ms 3788 KB Output is correct
38 Correct 35 ms 3892 KB Output is correct
39 Correct 36 ms 3716 KB Output is correct
40 Correct 36 ms 3792 KB Output is correct
41 Correct 1 ms 340 KB Output is correct
42 Correct 1 ms 324 KB Output is correct
43 Correct 1 ms 340 KB Output is correct
44 Correct 2 ms 464 KB Output is correct
45 Correct 1 ms 468 KB Output is correct
46 Correct 1 ms 468 KB Output is correct
47 Correct 5 ms 852 KB Output is correct
48 Correct 4 ms 856 KB Output is correct
49 Correct 8 ms 1484 KB Output is correct
50 Correct 18 ms 2644 KB Output is correct
51 Correct 35 ms 3976 KB Output is correct
52 Correct 30 ms 3920 KB Output is correct
53 Correct 31 ms 3916 KB Output is correct
54 Correct 30 ms 3896 KB Output is correct
55 Correct 30 ms 3860 KB Output is correct
56 Correct 30 ms 3880 KB Output is correct
57 Correct 29 ms 3856 KB Output is correct
58 Correct 30 ms 3904 KB Output is correct
59 Correct 30 ms 3856 KB Output is correct
60 Correct 31 ms 3848 KB Output is correct
61 Correct 30 ms 3852 KB Output is correct
62 Correct 36 ms 3912 KB Output is correct
63 Correct 30 ms 3872 KB Output is correct
64 Correct 30 ms 3860 KB Output is correct
65 Correct 30 ms 3868 KB Output is correct
66 Correct 31 ms 3796 KB Output is correct
67 Correct 29 ms 3796 KB Output is correct
68 Correct 30 ms 3872 KB Output is correct
69 Correct 30 ms 3916 KB Output is correct
70 Correct 29 ms 3804 KB Output is correct
71 Correct 4 ms 980 KB Output is correct
72 Correct 4 ms 976 KB Output is correct
73 Correct 4 ms 980 KB Output is correct
74 Correct 4 ms 980 KB Output is correct
75 Correct 4 ms 980 KB Output is correct
76 Correct 6 ms 1620 KB Output is correct
77 Correct 6 ms 1656 KB Output is correct
78 Correct 10 ms 1616 KB Output is correct
79 Correct 6 ms 1620 KB Output is correct
80 Correct 6 ms 1640 KB Output is correct
81 Correct 12 ms 2864 KB Output is correct
82 Correct 12 ms 2896 KB Output is correct
83 Correct 12 ms 2860 KB Output is correct
84 Correct 14 ms 2936 KB Output is correct
85 Correct 12 ms 2860 KB Output is correct
86 Correct 14 ms 3032 KB Output is correct
87 Correct 14 ms 3096 KB Output is correct
88 Correct 14 ms 3064 KB Output is correct
89 Correct 14 ms 3152 KB Output is correct
90 Correct 14 ms 3080 KB Output is correct
91 Correct 21 ms 5120 KB Output is correct
92 Correct 21 ms 5192 KB Output is correct
93 Correct 21 ms 5076 KB Output is correct
94 Correct 27 ms 5096 KB Output is correct
95 Correct 21 ms 5068 KB Output is correct
96 Correct 23 ms 6080 KB Output is correct
97 Correct 24 ms 6100 KB Output is correct
98 Correct 24 ms 6028 KB Output is correct
99 Correct 28 ms 6092 KB Output is correct
100 Correct 24 ms 6100 KB Output is correct
101 Correct 24 ms 6028 KB Output is correct
102 Correct 36 ms 6100 KB Output is correct
103 Correct 37 ms 6036 KB Output is correct
104 Correct 35 ms 6036 KB Output is correct
105 Correct 24 ms 6028 KB Output is correct
106 Correct 24 ms 6476 KB Output is correct
107 Correct 24 ms 6480 KB Output is correct
108 Correct 24 ms 6508 KB Output is correct
109 Correct 24 ms 6428 KB Output is correct
110 Correct 23 ms 6452 KB Output is correct
111 Correct 23 ms 6480 KB Output is correct
112 Correct 23 ms 6472 KB Output is correct
113 Correct 23 ms 6544 KB Output is correct
114 Correct 29 ms 6496 KB Output is correct
115 Correct 23 ms 6480 KB Output is correct
116 Execution timed out 7048 ms 2932 KB Time limit exceeded
117 Halted 0 ms 0 KB -