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답안 #696522

# 제출 시각 아이디 문제 언어 결과 실행 시간 메모리
696522 2023-02-06T17:28:11 Z cig32 Diversity (CEOI21_diversity) C++17
64 / 100
 7000 ms 11660 KB 
#include <bits/stdc++.h>
using namespace std;
#define int long long
const int MAXN = 3e5 + 10;
const int MOD = 1e9 + 7;
mt19937_64 rng((int)std::chrono::steady_clock::now().time_since_epoch().count());
int rnd(int x, int y) {
  int u = uniform_int_distribution<int>(x, y)(rng); return u;
}
int bm(int b, int p) {
  if(p==0) return 1 % MOD;
  int r = bm(b, p >> 1);
  if(p&1) return (((r*r) % MOD) * b) % MOD;
  return (r*r) % MOD;
}
int inv(int b) { 
  return bm(b, MOD-2);
}
int fastlog(int x) {
  return (x == 0 ? -1 : 64 - __builtin_clzll(x) - 1);
}
void printcase(int i) { cout << "Case #" << i << ": "; }

int f[MAXN], ans, n, sum1all, sum2all;

int bit1[MAXN];
void add1(int x, int v) {
  sum1all += v;
  for(;x<MAXN;x+=x&-x) bit1[x] += v;
}
int sum1(int x) {
  int s=0;
  for(;x;x-=x&-x) s += bit1[x];
  return s;
}
int bit2[MAXN];
void add2(int x, int v) {
  sum2all += v;
  for(;x<MAXN;x+=x&-x) bit2[x] += v;
}
int sum2(int x) {
  int s=0;
  for(;x;x-=x&-x) s += bit2[x];
  return s;
}
int bit3[MAXN];
void add3(int x, int v) {
  x++;
  for(;x<MAXN;x+=x&-x) bit3[x] += v;
}
int sum3(int x) {
  x++;
  int s=0;
  for(;x;x-=x&-x) s += bit3[x];
  return s;
}
void edit(int i, int x) {
  ans -= sum1(i-1) * f[i] * i;
  ans += sum2(i-1) * f[i];
  ans -= f[i] * (sum2all - sum2(i) + sum1all - sum1(i));
  ans += f[i] * (i-1) * (sum1all - sum1(i));
  add1(i, -f[i]);
  add2(i, -f[i] * (i-1));
  ans -= f[i] * (f[i] + 1) / 2;
  f[i] = x;
  ans += f[i] * (f[i] + 1) / 2;
  add1(i, f[i]);
  add2(i, f[i] * (i-1));
  ans += sum1(i-1) * f[i] * i;
  ans -= sum2(i-1) * f[i];
  ans += f[i] * (sum2all - sum2(i) + sum1all - sum1(i));
  ans -= f[i] * (i-1) * (sum1all - sum1(i));
}
int block;
bool modui(pair<pair<int,int>,int> a, pair<pair<int,int>,int> b) {
  if(a.first.first / block != b.first.first / block) return a.first.first / block < b.first.first / block;
  return a.first.second < b.first.second;
}
void solve(int tc) {
  int q;
  cin >> n >> q;
  int c = 300000;
  block = ceil(sqrt(c));
  int arr[n+1];
  for(int i=1; i<=n; i++) cin >> arr[i];
  pair<pair<int,int>,int> qry[q+1];
  for(int i=1; i<=q; i++) {
    cin >> qry[i].first.first >> qry[i].first.second;
    qry[i].second = i;
  }
  sort(qry+1, qry+q+1, modui);
  int res[q+1];
  int l = qry[1].first.first, r = qry[1].first.first - 1;
  int freq[c+1];
  for(int i=1; i<=c; i++) freq[i] = 0;
  add3(0, n);
  for(int i=1; i<=q; i++) {
    while(l > qry[i].first.first) {
      l--;
      add3(freq[arr[l]], -1);
      freq[arr[l]]++;
      add3(freq[arr[l]], 1);
      int rank = sum3(freq[arr[l]] - 1) + 1;
      int pos = (rank & 1 ? (rank + 1) / 2 : n + 1 - rank / 2);
      edit(pos, freq[arr[l]]);
    }
    while(r > qry[i].first.second) {
      add3(freq[arr[r]], -1);
      freq[arr[r]]--;
      add3(freq[arr[r]], 1);
      int rank = sum3(freq[arr[r]]);
      int pos = (rank & 1 ? (rank + 1) / 2 : n + 1 - rank / 2);
      edit(pos, freq[arr[r]]);
      r--;
    }
    while(r < qry[i].first.second) {
      r++;
      add3(freq[arr[r]], -1);
      freq[arr[r]]++;
      add3(freq[arr[r]], 1);
      int rank = sum3(freq[arr[r]] - 1) + 1;
      int pos = (rank & 1 ? (rank + 1) / 2 : n + 1 - rank / 2);
      edit(pos, freq[arr[r]]);
    }
    while(l < qry[i].first.first) {
      add3(freq[arr[l]], -1);
      freq[arr[l]]--;
      add3(freq[arr[l]], 1);
      int rank = sum3(freq[arr[l]]);
      int pos = (rank & 1 ? (rank + 1) / 2 : n + 1 - rank / 2);
      edit(pos, freq[arr[l]]);
      l++;
    }
    res[qry[i].second] = ans;
  }
  for(int i=1; i<=q; i++) cout << res[i] << "\n";

}
int32_t main() {
  ios::sync_with_stdio(0); cin.tie(0);
  int t = 1; //cin >> t;
  for(int i=1; i<=t; i++) solve(i);
}

Subtask #1
4.0 / 4.0

# 결과 실행 시간 메모리 Grader output
1 Correct 2 ms 2772 KB Output is correct
2 Correct 2 ms 2772 KB Output is correct
3 Correct 1 ms 2772 KB Output is correct
4 Correct 1 ms 2772 KB Output is correct
5 Correct 2 ms 2772 KB Output is correct
6 Correct 2 ms 2772 KB Output is correct
7 Correct 2 ms 2772 KB Output is correct
8 Correct 1 ms 2772 KB Output is correct
9 Correct 2 ms 2772 KB Output is correct
10 Correct 2 ms 2772 KB Output is correct

Subtask #2
10.0 / 10.0

# 결과 실행 시간 메모리 Grader output
1 Correct 3 ms 2772 KB Output is correct
2 Correct 2 ms 2772 KB Output is correct
3 Correct 4 ms 2772 KB Output is correct
4 Correct 26 ms 3752 KB Output is correct
5 Correct 47 ms 4892 KB Output is correct
6 Correct 77 ms 5544 KB Output is correct
7 Correct 79 ms 6268 KB Output is correct
8 Correct 90 ms 5508 KB Output is correct
9 Correct 77 ms 5536 KB Output is correct
10 Correct 69 ms 5892 KB Output is correct
11 Correct 71 ms 5556 KB Output is correct
12 Correct 77 ms 5528 KB Output is correct
13 Correct 75 ms 5456 KB Output is correct
14 Correct 70 ms 5624 KB Output is correct
15 Correct 70 ms 5604 KB Output is correct

Subtask #3
8.0 / 8.0

# 결과 실행 시간 메모리 Grader output
1 Correct 3 ms 2772 KB Output is correct
2 Correct 2 ms 2772 KB Output is correct
3 Correct 4 ms 2772 KB Output is correct
4 Correct 26 ms 3752 KB Output is correct
5 Correct 47 ms 4892 KB Output is correct
6 Correct 77 ms 5544 KB Output is correct
7 Correct 79 ms 6268 KB Output is correct
8 Correct 90 ms 5508 KB Output is correct
9 Correct 77 ms 5536 KB Output is correct
10 Correct 69 ms 5892 KB Output is correct
11 Correct 71 ms 5556 KB Output is correct
12 Correct 77 ms 5528 KB Output is correct
13 Correct 75 ms 5456 KB Output is correct
14 Correct 70 ms 5624 KB Output is correct
15 Correct 70 ms 5604 KB Output is correct
16 Correct 1 ms 2772 KB Output is correct
17 Correct 2 ms 2772 KB Output is correct
18 Correct 4 ms 2772 KB Output is correct
19 Correct 39 ms 3668 KB Output is correct
20 Correct 66 ms 4508 KB Output is correct
21 Correct 73 ms 5472 KB Output is correct
22 Correct 144 ms 5360 KB Output is correct
23 Correct 75 ms 5420 KB Output is correct
24 Correct 74 ms 5268 KB Output is correct
25 Correct 74 ms 5400 KB Output is correct
26 Correct 74 ms 5380 KB Output is correct
27 Correct 72 ms 5348 KB Output is correct
28 Correct 72 ms 5676 KB Output is correct
29 Correct 76 ms 5324 KB Output is correct
30 Correct 79 ms 5392 KB Output is correct

Subtask #4
16.0 / 16.0

# 결과 실행 시간 메모리 Grader output
1 Correct 3 ms 2772 KB Output is correct
2 Correct 2 ms 2772 KB Output is correct
3 Correct 4 ms 2772 KB Output is correct
4 Correct 26 ms 3752 KB Output is correct
5 Correct 47 ms 4892 KB Output is correct
6 Correct 77 ms 5544 KB Output is correct
7 Correct 79 ms 6268 KB Output is correct
8 Correct 90 ms 5508 KB Output is correct
9 Correct 77 ms 5536 KB Output is correct
10 Correct 69 ms 5892 KB Output is correct
11 Correct 71 ms 5556 KB Output is correct
12 Correct 77 ms 5528 KB Output is correct
13 Correct 75 ms 5456 KB Output is correct
14 Correct 70 ms 5624 KB Output is correct
15 Correct 70 ms 5604 KB Output is correct
16 Correct 1 ms 2772 KB Output is correct
17 Correct 2 ms 2772 KB Output is correct
18 Correct 4 ms 2772 KB Output is correct
19 Correct 39 ms 3668 KB Output is correct
20 Correct 66 ms 4508 KB Output is correct
21 Correct 73 ms 5472 KB Output is correct
22 Correct 144 ms 5360 KB Output is correct
23 Correct 75 ms 5420 KB Output is correct
24 Correct 74 ms 5268 KB Output is correct
25 Correct 74 ms 5400 KB Output is correct
26 Correct 74 ms 5380 KB Output is correct
27 Correct 72 ms 5348 KB Output is correct
28 Correct 72 ms 5676 KB Output is correct
29 Correct 76 ms 5324 KB Output is correct
30 Correct 79 ms 5392 KB Output is correct
31 Correct 2 ms 2772 KB Output is correct
32 Correct 2 ms 2772 KB Output is correct
33 Correct 2 ms 2772 KB Output is correct
34 Correct 4 ms 2772 KB Output is correct
35 Correct 4 ms 2900 KB Output is correct
36 Correct 4 ms 2900 KB Output is correct
37 Correct 19 ms 3204 KB Output is correct
38 Correct 15 ms 3208 KB Output is correct
39 Correct 29 ms 3788 KB Output is correct
40 Correct 57 ms 4656 KB Output is correct
41 Correct 86 ms 5452 KB Output is correct
42 Correct 78 ms 5656 KB Output is correct
43 Correct 88 ms 5608 KB Output is correct
44 Correct 89 ms 5668 KB Output is correct
45 Correct 89 ms 5656 KB Output is correct
46 Correct 79 ms 5556 KB Output is correct
47 Correct 122 ms 5660 KB Output is correct
48 Correct 79 ms 5656 KB Output is correct
49 Correct 78 ms 5740 KB Output is correct
50 Correct 80 ms 5660 KB Output is correct
51 Correct 80 ms 5664 KB Output is correct
52 Correct 84 ms 5656 KB Output is correct
53 Correct 89 ms 5672 KB Output is correct
54 Correct 86 ms 5776 KB Output is correct
55 Correct 79 ms 5644 KB Output is correct
56 Correct 81 ms 5572 KB Output is correct
57 Correct 79 ms 5652 KB Output is correct
58 Correct 77 ms 5648 KB Output is correct
59 Correct 82 ms 5552 KB Output is correct
60 Correct 79 ms 5592 KB Output is correct

Subtask #5
26.0 / 26.0

# 결과 실행 시간 메모리 Grader output
1 Correct 2 ms 2772 KB Output is correct
2 Correct 2 ms 2772 KB Output is correct
3 Correct 1 ms 2772 KB Output is correct
4 Correct 1 ms 2772 KB Output is correct
5 Correct 2 ms 2772 KB Output is correct
6 Correct 2 ms 2772 KB Output is correct
7 Correct 2 ms 2772 KB Output is correct
8 Correct 1 ms 2772 KB Output is correct
9 Correct 2 ms 2772 KB Output is correct
10 Correct 2 ms 2772 KB Output is correct
11 Correct 3 ms 2772 KB Output is correct
12 Correct 2 ms 2772 KB Output is correct
13 Correct 4 ms 2772 KB Output is correct
14 Correct 26 ms 3752 KB Output is correct
15 Correct 47 ms 4892 KB Output is correct
16 Correct 77 ms 5544 KB Output is correct
17 Correct 79 ms 6268 KB Output is correct
18 Correct 90 ms 5508 KB Output is correct
19 Correct 77 ms 5536 KB Output is correct
20 Correct 69 ms 5892 KB Output is correct
21 Correct 71 ms 5556 KB Output is correct
22 Correct 77 ms 5528 KB Output is correct
23 Correct 75 ms 5456 KB Output is correct
24 Correct 70 ms 5624 KB Output is correct
25 Correct 70 ms 5604 KB Output is correct
26 Correct 1 ms 2772 KB Output is correct
27 Correct 2 ms 2772 KB Output is correct
28 Correct 4 ms 2772 KB Output is correct
29 Correct 39 ms 3668 KB Output is correct
30 Correct 66 ms 4508 KB Output is correct
31 Correct 73 ms 5472 KB Output is correct
32 Correct 144 ms 5360 KB Output is correct
33 Correct 75 ms 5420 KB Output is correct
34 Correct 74 ms 5268 KB Output is correct
35 Correct 74 ms 5400 KB Output is correct
36 Correct 74 ms 5380 KB Output is correct
37 Correct 72 ms 5348 KB Output is correct
38 Correct 72 ms 5676 KB Output is correct
39 Correct 76 ms 5324 KB Output is correct
40 Correct 79 ms 5392 KB Output is correct
41 Correct 2 ms 2772 KB Output is correct
42 Correct 2 ms 2772 KB Output is correct
43 Correct 2 ms 2772 KB Output is correct
44 Correct 4 ms 2772 KB Output is correct
45 Correct 4 ms 2900 KB Output is correct
46 Correct 4 ms 2900 KB Output is correct
47 Correct 19 ms 3204 KB Output is correct
48 Correct 15 ms 3208 KB Output is correct
49 Correct 29 ms 3788 KB Output is correct
50 Correct 57 ms 4656 KB Output is correct
51 Correct 86 ms 5452 KB Output is correct
52 Correct 78 ms 5656 KB Output is correct
53 Correct 88 ms 5608 KB Output is correct
54 Correct 89 ms 5668 KB Output is correct
55 Correct 89 ms 5656 KB Output is correct
56 Correct 79 ms 5556 KB Output is correct
57 Correct 122 ms 5660 KB Output is correct
58 Correct 79 ms 5656 KB Output is correct
59 Correct 78 ms 5740 KB Output is correct
60 Correct 80 ms 5660 KB Output is correct
61 Correct 80 ms 5664 KB Output is correct
62 Correct 84 ms 5656 KB Output is correct
63 Correct 89 ms 5672 KB Output is correct
64 Correct 86 ms 5776 KB Output is correct
65 Correct 79 ms 5644 KB Output is correct
66 Correct 81 ms 5572 KB Output is correct
67 Correct 79 ms 5652 KB Output is correct
68 Correct 77 ms 5648 KB Output is correct
69 Correct 82 ms 5552 KB Output is correct
70 Correct 79 ms 5592 KB Output is correct
71 Correct 16 ms 3412 KB Output is correct
72 Correct 15 ms 3460 KB Output is correct
73 Correct 15 ms 3452 KB Output is correct
74 Correct 15 ms 3412 KB Output is correct
75 Correct 14 ms 3412 KB Output is correct
76 Correct 29 ms 4048 KB Output is correct
77 Correct 33 ms 4052 KB Output is correct
78 Correct 28 ms 4052 KB Output is correct
79 Correct 31 ms 4052 KB Output is correct
80 Correct 29 ms 4132 KB Output is correct
81 Correct 57 ms 5068 KB Output is correct
82 Correct 56 ms 5068 KB Output is correct
83 Correct 57 ms 5016 KB Output is correct
84 Correct 58 ms 5068 KB Output is correct
85 Correct 58 ms 5032 KB Output is correct
86 Correct 60 ms 5260 KB Output is correct
87 Correct 59 ms 5316 KB Output is correct
88 Correct 59 ms 5284 KB Output is correct
89 Correct 59 ms 5292 KB Output is correct
90 Correct 59 ms 5296 KB Output is correct
91 Correct 99 ms 8444 KB Output is correct
92 Correct 95 ms 7924 KB Output is correct
93 Correct 89 ms 7884 KB Output is correct
94 Correct 89 ms 7912 KB Output is correct
95 Correct 88 ms 7836 KB Output is correct
96 Correct 102 ms 10352 KB Output is correct
97 Correct 96 ms 10388 KB Output is correct
98 Correct 95 ms 10324 KB Output is correct
99 Correct 101 ms 10376 KB Output is correct
100 Correct 95 ms 10364 KB Output is correct
101 Correct 94 ms 10316 KB Output is correct
102 Correct 98 ms 10304 KB Output is correct
103 Correct 104 ms 10364 KB Output is correct
104 Correct 99 ms 10400 KB Output is correct
105 Correct 99 ms 10404 KB Output is correct
106 Correct 94 ms 11568 KB Output is correct
107 Correct 94 ms 11596 KB Output is correct
108 Correct 109 ms 11608 KB Output is correct
109 Correct 96 ms 11592 KB Output is correct
110 Correct 97 ms 11556 KB Output is correct
111 Correct 97 ms 11508 KB Output is correct
112 Correct 108 ms 11660 KB Output is correct
113 Correct 100 ms 11600 KB Output is correct
114 Correct 93 ms 11540 KB Output is correct
115 Correct 95 ms 11584 KB Output is correct

Subtask #6
0 / 36.0

# 결과 실행 시간 메모리 Grader output
1 Correct 2 ms 2772 KB Output is correct
2 Correct 2 ms 2772 KB Output is correct
3 Correct 1 ms 2772 KB Output is correct
4 Correct 1 ms 2772 KB Output is correct
5 Correct 2 ms 2772 KB Output is correct
6 Correct 2 ms 2772 KB Output is correct
7 Correct 2 ms 2772 KB Output is correct
8 Correct 1 ms 2772 KB Output is correct
9 Correct 2 ms 2772 KB Output is correct
10 Correct 2 ms 2772 KB Output is correct
11 Correct 3 ms 2772 KB Output is correct
12 Correct 2 ms 2772 KB Output is correct
13 Correct 4 ms 2772 KB Output is correct
14 Correct 26 ms 3752 KB Output is correct
15 Correct 47 ms 4892 KB Output is correct
16 Correct 77 ms 5544 KB Output is correct
17 Correct 79 ms 6268 KB Output is correct
18 Correct 90 ms 5508 KB Output is correct
19 Correct 77 ms 5536 KB Output is correct
20 Correct 69 ms 5892 KB Output is correct
21 Correct 71 ms 5556 KB Output is correct
22 Correct 77 ms 5528 KB Output is correct
23 Correct 75 ms 5456 KB Output is correct
24 Correct 70 ms 5624 KB Output is correct
25 Correct 70 ms 5604 KB Output is correct
26 Correct 1 ms 2772 KB Output is correct
27 Correct 2 ms 2772 KB Output is correct
28 Correct 4 ms 2772 KB Output is correct
29 Correct 39 ms 3668 KB Output is correct
30 Correct 66 ms 4508 KB Output is correct
31 Correct 73 ms 5472 KB Output is correct
32 Correct 144 ms 5360 KB Output is correct
33 Correct 75 ms 5420 KB Output is correct
34 Correct 74 ms 5268 KB Output is correct
35 Correct 74 ms 5400 KB Output is correct
36 Correct 74 ms 5380 KB Output is correct
37 Correct 72 ms 5348 KB Output is correct
38 Correct 72 ms 5676 KB Output is correct
39 Correct 76 ms 5324 KB Output is correct
40 Correct 79 ms 5392 KB Output is correct
41 Correct 2 ms 2772 KB Output is correct
42 Correct 2 ms 2772 KB Output is correct
43 Correct 2 ms 2772 KB Output is correct
44 Correct 4 ms 2772 KB Output is correct
45 Correct 4 ms 2900 KB Output is correct
46 Correct 4 ms 2900 KB Output is correct
47 Correct 19 ms 3204 KB Output is correct
48 Correct 15 ms 3208 KB Output is correct
49 Correct 29 ms 3788 KB Output is correct
50 Correct 57 ms 4656 KB Output is correct
51 Correct 86 ms 5452 KB Output is correct
52 Correct 78 ms 5656 KB Output is correct
53 Correct 88 ms 5608 KB Output is correct
54 Correct 89 ms 5668 KB Output is correct
55 Correct 89 ms 5656 KB Output is correct
56 Correct 79 ms 5556 KB Output is correct
57 Correct 122 ms 5660 KB Output is correct
58 Correct 79 ms 5656 KB Output is correct
59 Correct 78 ms 5740 KB Output is correct
60 Correct 80 ms 5660 KB Output is correct
61 Correct 80 ms 5664 KB Output is correct
62 Correct 84 ms 5656 KB Output is correct
63 Correct 89 ms 5672 KB Output is correct
64 Correct 86 ms 5776 KB Output is correct
65 Correct 79 ms 5644 KB Output is correct
66 Correct 81 ms 5572 KB Output is correct
67 Correct 79 ms 5652 KB Output is correct
68 Correct 77 ms 5648 KB Output is correct
69 Correct 82 ms 5552 KB Output is correct
70 Correct 79 ms 5592 KB Output is correct
71 Correct 16 ms 3412 KB Output is correct
72 Correct 15 ms 3460 KB Output is correct
73 Correct 15 ms 3452 KB Output is correct
74 Correct 15 ms 3412 KB Output is correct
75 Correct 14 ms 3412 KB Output is correct
76 Correct 29 ms 4048 KB Output is correct
77 Correct 33 ms 4052 KB Output is correct
78 Correct 28 ms 4052 KB Output is correct
79 Correct 31 ms 4052 KB Output is correct
80 Correct 29 ms 4132 KB Output is correct
81 Correct 57 ms 5068 KB Output is correct
82 Correct 56 ms 5068 KB Output is correct
83 Correct 57 ms 5016 KB Output is correct
84 Correct 58 ms 5068 KB Output is correct
85 Correct 58 ms 5032 KB Output is correct
86 Correct 60 ms 5260 KB Output is correct
87 Correct 59 ms 5316 KB Output is correct
88 Correct 59 ms 5284 KB Output is correct
89 Correct 59 ms 5292 KB Output is correct
90 Correct 59 ms 5296 KB Output is correct
91 Correct 99 ms 8444 KB Output is correct
92 Correct 95 ms 7924 KB Output is correct
93 Correct 89 ms 7884 KB Output is correct
94 Correct 89 ms 7912 KB Output is correct
95 Correct 88 ms 7836 KB Output is correct
96 Correct 102 ms 10352 KB Output is correct
97 Correct 96 ms 10388 KB Output is correct
98 Correct 95 ms 10324 KB Output is correct
99 Correct 101 ms 10376 KB Output is correct
100 Correct 95 ms 10364 KB Output is correct
101 Correct 94 ms 10316 KB Output is correct
102 Correct 98 ms 10304 KB Output is correct
103 Correct 104 ms 10364 KB Output is correct
104 Correct 99 ms 10400 KB Output is correct
105 Correct 99 ms 10404 KB Output is correct
106 Correct 94 ms 11568 KB Output is correct
107 Correct 94 ms 11596 KB Output is correct
108 Correct 109 ms 11608 KB Output is correct
109 Correct 96 ms 11592 KB Output is correct
110 Correct 97 ms 11556 KB Output is correct
111 Correct 97 ms 11508 KB Output is correct
112 Correct 108 ms 11660 KB Output is correct
113 Correct 100 ms 11600 KB Output is correct
114 Correct 93 ms 11540 KB Output is correct
115 Correct 95 ms 11584 KB Output is correct
116 Correct 1715 ms 5200 KB Output is correct
117 Correct 1726 ms 5208 KB Output is correct
118 Correct 2537 ms 5652 KB Output is correct
119 Correct 2575 ms 5652 KB Output is correct
120 Correct 2684 ms 5652 KB Output is correct
121 Correct 5254 ms 6152 KB Output is correct
122 Correct 5207 ms 6092 KB Output is correct
123 Execution timed out 7054 ms 6320 KB Time limit exceeded
124 Halted 0 ms 0 KB -