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답안 #827656

# 제출 시각 아이디 문제 언어 결과 실행 시간 메모리
827656 2023-08-16T16:02:14 Z NeroZein Diversity (CEOI21_diversity) C++17
64 / 100
 7000 ms 8532 KB 
#include "bits/stdc++.h"
#define int long long
using namespace std;
 
#ifdef Nero
#include "Deb.h"
#else
#define deb(...)
#endif

const int B = 550;
const int N = 3e5 + 5;
 
int a[N]; 
int freq[N];
int tot_freq[N];
int cnt_freq[N];
bool is_small[N];
long long prop_ps[N];
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;
}
 
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]]]++;
  } 
}
 
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());
  //deb(xz); cout << '\n';
  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 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];
    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(); 
  }
  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

# 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 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

# 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 1 ms 340 KB Output is correct
4 Correct 5 ms 1236 KB Output is correct
5 Correct 11 ms 2260 KB Output is correct
6 Correct 15 ms 3352 KB Output is correct
7 Correct 17 ms 3204 KB Output is correct
8 Correct 14 ms 3284 KB Output is correct
9 Correct 17 ms 3264 KB Output is correct
10 Correct 14 ms 3300 KB Output is correct
11 Correct 14 ms 3308 KB Output is correct
12 Correct 15 ms 3284 KB Output is correct
13 Correct 14 ms 3280 KB Output is correct
14 Correct 14 ms 3284 KB Output is correct
15 Correct 14 ms 3284 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 1 ms 340 KB Output is correct
4 Correct 5 ms 1236 KB Output is correct
5 Correct 11 ms 2260 KB Output is correct
6 Correct 15 ms 3352 KB Output is correct
7 Correct 17 ms 3204 KB Output is correct
8 Correct 14 ms 3284 KB Output is correct
9 Correct 17 ms 3264 KB Output is correct
10 Correct 14 ms 3300 KB Output is correct
11 Correct 14 ms 3308 KB Output is correct
12 Correct 15 ms 3284 KB Output is correct
13 Correct 14 ms 3280 KB Output is correct
14 Correct 14 ms 3284 KB Output is correct
15 Correct 14 ms 3284 KB Output is correct
16 Correct 1 ms 340 KB Output is correct
17 Correct 1 ms 296 KB Output is correct
18 Correct 2 ms 464 KB Output is correct
19 Correct 5 ms 1300 KB Output is correct
20 Correct 11 ms 2392 KB Output is correct
21 Correct 15 ms 3392 KB Output is correct
22 Correct 19 ms 3412 KB Output is correct
23 Correct 15 ms 3412 KB Output is correct
24 Correct 15 ms 3420 KB Output is correct
25 Correct 16 ms 3592 KB Output is correct
26 Correct 17 ms 3520 KB Output is correct
27 Correct 15 ms 3416 KB Output is correct
28 Correct 16 ms 3408 KB Output is correct
29 Correct 15 ms 3404 KB Output is correct
30 Correct 15 ms 3412 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 1 ms 340 KB Output is correct
4 Correct 5 ms 1236 KB Output is correct
5 Correct 11 ms 2260 KB Output is correct
6 Correct 15 ms 3352 KB Output is correct
7 Correct 17 ms 3204 KB Output is correct
8 Correct 14 ms 3284 KB Output is correct
9 Correct 17 ms 3264 KB Output is correct
10 Correct 14 ms 3300 KB Output is correct
11 Correct 14 ms 3308 KB Output is correct
12 Correct 15 ms 3284 KB Output is correct
13 Correct 14 ms 3280 KB Output is correct
14 Correct 14 ms 3284 KB Output is correct
15 Correct 14 ms 3284 KB Output is correct
16 Correct 1 ms 340 KB Output is correct
17 Correct 1 ms 296 KB Output is correct
18 Correct 2 ms 464 KB Output is correct
19 Correct 5 ms 1300 KB Output is correct
20 Correct 11 ms 2392 KB Output is correct
21 Correct 15 ms 3392 KB Output is correct
22 Correct 19 ms 3412 KB Output is correct
23 Correct 15 ms 3412 KB Output is correct
24 Correct 15 ms 3420 KB Output is correct
25 Correct 16 ms 3592 KB Output is correct
26 Correct 17 ms 3520 KB Output is correct
27 Correct 15 ms 3416 KB Output is correct
28 Correct 16 ms 3408 KB Output is correct
29 Correct 15 ms 3404 KB Output is correct
30 Correct 15 ms 3412 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 324 KB Output is correct
34 Correct 1 ms 468 KB Output is correct
35 Correct 1 ms 392 KB Output is correct
36 Correct 1 ms 468 KB Output is correct
37 Correct 4 ms 980 KB Output is correct
38 Correct 3 ms 980 KB Output is correct
39 Correct 6 ms 1492 KB Output is correct
40 Correct 12 ms 2772 KB Output is correct
41 Correct 18 ms 3928 KB Output is correct
42 Correct 20 ms 3924 KB Output is correct
43 Correct 18 ms 3856 KB Output is correct
44 Correct 18 ms 3872 KB Output is correct
45 Correct 20 ms 3912 KB Output is correct
46 Correct 18 ms 3808 KB Output is correct
47 Correct 19 ms 3872 KB Output is correct
48 Correct 18 ms 3848 KB Output is correct
49 Correct 21 ms 3916 KB Output is correct
50 Correct 23 ms 3844 KB Output is correct
51 Correct 22 ms 3848 KB Output is correct
52 Correct 18 ms 3896 KB Output is correct
53 Correct 19 ms 3808 KB Output is correct
54 Correct 17 ms 3864 KB Output is correct
55 Correct 18 ms 3848 KB Output is correct
56 Correct 18 ms 3832 KB Output is correct
57 Correct 19 ms 3888 KB Output is correct
58 Correct 19 ms 3872 KB Output is correct
59 Correct 18 ms 3888 KB Output is correct
60 Correct 18 ms 3796 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 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 1236 KB Output is correct
15 Correct 11 ms 2260 KB Output is correct
16 Correct 15 ms 3352 KB Output is correct
17 Correct 17 ms 3204 KB Output is correct
18 Correct 14 ms 3284 KB Output is correct
19 Correct 17 ms 3264 KB Output is correct
20 Correct 14 ms 3300 KB Output is correct
21 Correct 14 ms 3308 KB Output is correct
22 Correct 15 ms 3284 KB Output is correct
23 Correct 14 ms 3280 KB Output is correct
24 Correct 14 ms 3284 KB Output is correct
25 Correct 14 ms 3284 KB Output is correct
26 Correct 1 ms 340 KB Output is correct
27 Correct 1 ms 296 KB Output is correct
28 Correct 2 ms 464 KB Output is correct
29 Correct 5 ms 1300 KB Output is correct
30 Correct 11 ms 2392 KB Output is correct
31 Correct 15 ms 3392 KB Output is correct
32 Correct 19 ms 3412 KB Output is correct
33 Correct 15 ms 3412 KB Output is correct
34 Correct 15 ms 3420 KB Output is correct
35 Correct 16 ms 3592 KB Output is correct
36 Correct 17 ms 3520 KB Output is correct
37 Correct 15 ms 3416 KB Output is correct
38 Correct 16 ms 3408 KB Output is correct
39 Correct 15 ms 3404 KB Output is correct
40 Correct 15 ms 3412 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 324 KB Output is correct
44 Correct 1 ms 468 KB Output is correct
45 Correct 1 ms 392 KB Output is correct
46 Correct 1 ms 468 KB Output is correct
47 Correct 4 ms 980 KB Output is correct
48 Correct 3 ms 980 KB Output is correct
49 Correct 6 ms 1492 KB Output is correct
50 Correct 12 ms 2772 KB Output is correct
51 Correct 18 ms 3928 KB Output is correct
52 Correct 20 ms 3924 KB Output is correct
53 Correct 18 ms 3856 KB Output is correct
54 Correct 18 ms 3872 KB Output is correct
55 Correct 20 ms 3912 KB Output is correct
56 Correct 18 ms 3808 KB Output is correct
57 Correct 19 ms 3872 KB Output is correct
58 Correct 18 ms 3848 KB Output is correct
59 Correct 21 ms 3916 KB Output is correct
60 Correct 23 ms 3844 KB Output is correct
61 Correct 22 ms 3848 KB Output is correct
62 Correct 18 ms 3896 KB Output is correct
63 Correct 19 ms 3808 KB Output is correct
64 Correct 17 ms 3864 KB Output is correct
65 Correct 18 ms 3848 KB Output is correct
66 Correct 18 ms 3832 KB Output is correct
67 Correct 19 ms 3888 KB Output is correct
68 Correct 19 ms 3872 KB Output is correct
69 Correct 18 ms 3888 KB Output is correct
70 Correct 18 ms 3796 KB Output is correct
71 Correct 4 ms 1024 KB Output is correct
72 Correct 4 ms 980 KB Output is correct
73 Correct 4 ms 972 KB Output is correct
74 Correct 4 ms 980 KB Output is correct
75 Correct 4 ms 980 KB Output is correct
76 Correct 7 ms 1620 KB Output is correct
77 Correct 7 ms 1620 KB Output is correct
78 Correct 7 ms 1696 KB Output is correct
79 Correct 7 ms 1620 KB Output is correct
80 Correct 7 ms 1660 KB Output is correct
81 Correct 12 ms 3036 KB Output is correct
82 Correct 12 ms 3028 KB Output is correct
83 Correct 15 ms 3028 KB Output is correct
84 Correct 16 ms 2940 KB Output is correct
85 Correct 13 ms 3040 KB Output is correct
86 Correct 14 ms 3228 KB Output is correct
87 Correct 14 ms 3284 KB Output is correct
88 Correct 15 ms 3280 KB Output is correct
89 Correct 14 ms 3272 KB Output is correct
90 Correct 14 ms 3320 KB Output is correct
91 Correct 23 ms 5932 KB Output is correct
92 Correct 22 ms 5932 KB Output is correct
93 Correct 22 ms 5972 KB Output is correct
94 Correct 22 ms 5940 KB Output is correct
95 Correct 22 ms 5976 KB Output is correct
96 Correct 31 ms 7628 KB Output is correct
97 Correct 25 ms 7596 KB Output is correct
98 Correct 25 ms 7636 KB Output is correct
99 Correct 25 ms 7596 KB Output is correct
100 Correct 27 ms 7616 KB Output is correct
101 Correct 25 ms 7648 KB Output is correct
102 Correct 27 ms 7620 KB Output is correct
103 Correct 25 ms 7700 KB Output is correct
104 Correct 26 ms 7672 KB Output is correct
105 Correct 25 ms 7676 KB Output is correct
106 Correct 25 ms 8408 KB Output is correct
107 Correct 25 ms 8500 KB Output is correct
108 Correct 29 ms 8532 KB Output is correct
109 Correct 25 ms 8456 KB Output is correct
110 Correct 25 ms 8512 KB Output is correct
111 Correct 27 ms 8404 KB Output is correct
112 Correct 30 ms 8428 KB Output is correct
113 Correct 25 ms 8440 KB Output is correct
114 Correct 26 ms 8512 KB Output is correct
115 Correct 26 ms 8476 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 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 1236 KB Output is correct
15 Correct 11 ms 2260 KB Output is correct
16 Correct 15 ms 3352 KB Output is correct
17 Correct 17 ms 3204 KB Output is correct
18 Correct 14 ms 3284 KB Output is correct
19 Correct 17 ms 3264 KB Output is correct
20 Correct 14 ms 3300 KB Output is correct
21 Correct 14 ms 3308 KB Output is correct
22 Correct 15 ms 3284 KB Output is correct
23 Correct 14 ms 3280 KB Output is correct
24 Correct 14 ms 3284 KB Output is correct
25 Correct 14 ms 3284 KB Output is correct
26 Correct 1 ms 340 KB Output is correct
27 Correct 1 ms 296 KB Output is correct
28 Correct 2 ms 464 KB Output is correct
29 Correct 5 ms 1300 KB Output is correct
30 Correct 11 ms 2392 KB Output is correct
31 Correct 15 ms 3392 KB Output is correct
32 Correct 19 ms 3412 KB Output is correct
33 Correct 15 ms 3412 KB Output is correct
34 Correct 15 ms 3420 KB Output is correct
35 Correct 16 ms 3592 KB Output is correct
36 Correct 17 ms 3520 KB Output is correct
37 Correct 15 ms 3416 KB Output is correct
38 Correct 16 ms 3408 KB Output is correct
39 Correct 15 ms 3404 KB Output is correct
40 Correct 15 ms 3412 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 324 KB Output is correct
44 Correct 1 ms 468 KB Output is correct
45 Correct 1 ms 392 KB Output is correct
46 Correct 1 ms 468 KB Output is correct
47 Correct 4 ms 980 KB Output is correct
48 Correct 3 ms 980 KB Output is correct
49 Correct 6 ms 1492 KB Output is correct
50 Correct 12 ms 2772 KB Output is correct
51 Correct 18 ms 3928 KB Output is correct
52 Correct 20 ms 3924 KB Output is correct
53 Correct 18 ms 3856 KB Output is correct
54 Correct 18 ms 3872 KB Output is correct
55 Correct 20 ms 3912 KB Output is correct
56 Correct 18 ms 3808 KB Output is correct
57 Correct 19 ms 3872 KB Output is correct
58 Correct 18 ms 3848 KB Output is correct
59 Correct 21 ms 3916 KB Output is correct
60 Correct 23 ms 3844 KB Output is correct
61 Correct 22 ms 3848 KB Output is correct
62 Correct 18 ms 3896 KB Output is correct
63 Correct 19 ms 3808 KB Output is correct
64 Correct 17 ms 3864 KB Output is correct
65 Correct 18 ms 3848 KB Output is correct
66 Correct 18 ms 3832 KB Output is correct
67 Correct 19 ms 3888 KB Output is correct
68 Correct 19 ms 3872 KB Output is correct
69 Correct 18 ms 3888 KB Output is correct
70 Correct 18 ms 3796 KB Output is correct
71 Correct 4 ms 1024 KB Output is correct
72 Correct 4 ms 980 KB Output is correct
73 Correct 4 ms 972 KB Output is correct
74 Correct 4 ms 980 KB Output is correct
75 Correct 4 ms 980 KB Output is correct
76 Correct 7 ms 1620 KB Output is correct
77 Correct 7 ms 1620 KB Output is correct
78 Correct 7 ms 1696 KB Output is correct
79 Correct 7 ms 1620 KB Output is correct
80 Correct 7 ms 1660 KB Output is correct
81 Correct 12 ms 3036 KB Output is correct
82 Correct 12 ms 3028 KB Output is correct
83 Correct 15 ms 3028 KB Output is correct
84 Correct 16 ms 2940 KB Output is correct
85 Correct 13 ms 3040 KB Output is correct
86 Correct 14 ms 3228 KB Output is correct
87 Correct 14 ms 3284 KB Output is correct
88 Correct 15 ms 3280 KB Output is correct
89 Correct 14 ms 3272 KB Output is correct
90 Correct 14 ms 3320 KB Output is correct
91 Correct 23 ms 5932 KB Output is correct
92 Correct 22 ms 5932 KB Output is correct
93 Correct 22 ms 5972 KB Output is correct
94 Correct 22 ms 5940 KB Output is correct
95 Correct 22 ms 5976 KB Output is correct
96 Correct 31 ms 7628 KB Output is correct
97 Correct 25 ms 7596 KB Output is correct
98 Correct 25 ms 7636 KB Output is correct
99 Correct 25 ms 7596 KB Output is correct
100 Correct 27 ms 7616 KB Output is correct
101 Correct 25 ms 7648 KB Output is correct
102 Correct 27 ms 7620 KB Output is correct
103 Correct 25 ms 7700 KB Output is correct
104 Correct 26 ms 7672 KB Output is correct
105 Correct 25 ms 7676 KB Output is correct
106 Correct 25 ms 8408 KB Output is correct
107 Correct 25 ms 8500 KB Output is correct
108 Correct 29 ms 8532 KB Output is correct
109 Correct 25 ms 8456 KB Output is correct
110 Correct 25 ms 8512 KB Output is correct
111 Correct 27 ms 8404 KB Output is correct
112 Correct 30 ms 8428 KB Output is correct
113 Correct 25 ms 8440 KB Output is correct
114 Correct 26 ms 8512 KB Output is correct
115 Correct 26 ms 8476 KB Output is correct
116 Correct 1523 ms 3316 KB Output is correct
117 Correct 850 ms 3344 KB Output is correct
118 Execution timed out 7017 ms 3460 KB Time limit exceeded
119 Halted 0 ms 0 KB -