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Submission #696519

# Submission time Handle Problem Language Result Execution time Memory
696519 2023-02-06T17:24:24 Z cig32 Diversity (CEOI21_diversity) C++17
64 / 100
 7000 ms 12676 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 bit1[MAXN];
void add1(int x, int 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) {
  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;
}
int f[MAXN], ans, n;
void edit(int i, int x) {
  ans -= sum1(i-1) * f[i] * i;
  ans += sum2(i-1) * f[i];
  ans -= f[i] * (sum2(n) - sum2(i) + sum1(n) - sum1(i));
  ans += f[i] * (i-1) * (sum1(n) - 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] * (sum2(n) - sum2(i) + sum1(n) - sum1(i));
  ans -= f[i] * (i-1) * (sum1(n) - 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

# Verdict Execution time Memory Grader output
1 Correct 1 ms 2760 KB Output is correct
2 Correct 1 ms 2772 KB Output is correct
3 Correct 2 ms 2780 KB Output is correct
4 Correct 1 ms 2772 KB Output is correct
5 Correct 1 ms 2772 KB Output is correct
6 Correct 2 ms 2772 KB Output is correct
7 Correct 1 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

# Verdict Execution time Memory Grader output
1 Correct 2 ms 2772 KB Output is correct
2 Correct 2 ms 2772 KB Output is correct
3 Correct 5 ms 2856 KB Output is correct
4 Correct 27 ms 3864 KB Output is correct
5 Correct 50 ms 4928 KB Output is correct
6 Correct 79 ms 5632 KB Output is correct
7 Correct 75 ms 6476 KB Output is correct
8 Correct 85 ms 5540 KB Output is correct
9 Correct 78 ms 5608 KB Output is correct
10 Correct 78 ms 5996 KB Output is correct
11 Correct 78 ms 5704 KB Output is correct
12 Correct 79 ms 5636 KB Output is correct
13 Correct 79 ms 5596 KB Output is correct
14 Correct 77 ms 5816 KB Output is correct
15 Correct 81 ms 5740 KB Output is correct

Subtask #3
8.0 / 8.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 2772 KB Output is correct
2 Correct 2 ms 2772 KB Output is correct
3 Correct 5 ms 2856 KB Output is correct
4 Correct 27 ms 3864 KB Output is correct
5 Correct 50 ms 4928 KB Output is correct
6 Correct 79 ms 5632 KB Output is correct
7 Correct 75 ms 6476 KB Output is correct
8 Correct 85 ms 5540 KB Output is correct
9 Correct 78 ms 5608 KB Output is correct
10 Correct 78 ms 5996 KB Output is correct
11 Correct 78 ms 5704 KB Output is correct
12 Correct 79 ms 5636 KB Output is correct
13 Correct 79 ms 5596 KB Output is correct
14 Correct 77 ms 5816 KB Output is correct
15 Correct 81 ms 5740 KB Output is correct
16 Correct 2 ms 2772 KB Output is correct
17 Correct 2 ms 2772 KB Output is correct
18 Correct 4 ms 2900 KB Output is correct
19 Correct 27 ms 3788 KB Output is correct
20 Correct 53 ms 4696 KB Output is correct
21 Correct 81 ms 5648 KB Output is correct
22 Correct 88 ms 5488 KB Output is correct
23 Correct 83 ms 5620 KB Output is correct
24 Correct 80 ms 5484 KB Output is correct
25 Correct 80 ms 5528 KB Output is correct
26 Correct 81 ms 5448 KB Output is correct
27 Correct 89 ms 5612 KB Output is correct
28 Correct 84 ms 5808 KB Output is correct
29 Correct 81 ms 5524 KB Output is correct
30 Correct 83 ms 5560 KB Output is correct

Subtask #4
16.0 / 16.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 2772 KB Output is correct
2 Correct 2 ms 2772 KB Output is correct
3 Correct 5 ms 2856 KB Output is correct
4 Correct 27 ms 3864 KB Output is correct
5 Correct 50 ms 4928 KB Output is correct
6 Correct 79 ms 5632 KB Output is correct
7 Correct 75 ms 6476 KB Output is correct
8 Correct 85 ms 5540 KB Output is correct
9 Correct 78 ms 5608 KB Output is correct
10 Correct 78 ms 5996 KB Output is correct
11 Correct 78 ms 5704 KB Output is correct
12 Correct 79 ms 5636 KB Output is correct
13 Correct 79 ms 5596 KB Output is correct
14 Correct 77 ms 5816 KB Output is correct
15 Correct 81 ms 5740 KB Output is correct
16 Correct 2 ms 2772 KB Output is correct
17 Correct 2 ms 2772 KB Output is correct
18 Correct 4 ms 2900 KB Output is correct
19 Correct 27 ms 3788 KB Output is correct
20 Correct 53 ms 4696 KB Output is correct
21 Correct 81 ms 5648 KB Output is correct
22 Correct 88 ms 5488 KB Output is correct
23 Correct 83 ms 5620 KB Output is correct
24 Correct 80 ms 5484 KB Output is correct
25 Correct 80 ms 5528 KB Output is correct
26 Correct 81 ms 5448 KB Output is correct
27 Correct 89 ms 5612 KB Output is correct
28 Correct 84 ms 5808 KB Output is correct
29 Correct 81 ms 5524 KB Output is correct
30 Correct 83 ms 5560 KB Output is correct
31 Correct 2 ms 2764 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 2900 KB Output is correct
35 Correct 5 ms 2904 KB Output is correct
36 Correct 4 ms 2944 KB Output is correct
37 Correct 17 ms 3404 KB Output is correct
38 Correct 16 ms 3284 KB Output is correct
39 Correct 30 ms 3712 KB Output is correct
40 Correct 58 ms 4444 KB Output is correct
41 Correct 86 ms 5212 KB Output is correct
42 Correct 95 ms 5456 KB Output is correct
43 Correct 88 ms 5280 KB Output is correct
44 Correct 87 ms 5232 KB Output is correct
45 Correct 86 ms 5268 KB Output is correct
46 Correct 91 ms 5236 KB Output is correct
47 Correct 89 ms 5156 KB Output is correct
48 Correct 87 ms 5276 KB Output is correct
49 Correct 88 ms 5184 KB Output is correct
50 Correct 89 ms 5272 KB Output is correct
51 Correct 87 ms 5268 KB Output is correct
52 Correct 88 ms 5352 KB Output is correct
53 Correct 89 ms 5196 KB Output is correct
54 Correct 87 ms 5268 KB Output is correct
55 Correct 86 ms 5280 KB Output is correct
56 Correct 87 ms 5196 KB Output is correct
57 Correct 86 ms 5272 KB Output is correct
58 Correct 88 ms 5196 KB Output is correct
59 Correct 87 ms 5232 KB Output is correct
60 Correct 87 ms 5204 KB Output is correct

Subtask #5
26.0 / 26.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 2760 KB Output is correct
2 Correct 1 ms 2772 KB Output is correct
3 Correct 2 ms 2780 KB Output is correct
4 Correct 1 ms 2772 KB Output is correct
5 Correct 1 ms 2772 KB Output is correct
6 Correct 2 ms 2772 KB Output is correct
7 Correct 1 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 2 ms 2772 KB Output is correct
12 Correct 2 ms 2772 KB Output is correct
13 Correct 5 ms 2856 KB Output is correct
14 Correct 27 ms 3864 KB Output is correct
15 Correct 50 ms 4928 KB Output is correct
16 Correct 79 ms 5632 KB Output is correct
17 Correct 75 ms 6476 KB Output is correct
18 Correct 85 ms 5540 KB Output is correct
19 Correct 78 ms 5608 KB Output is correct
20 Correct 78 ms 5996 KB Output is correct
21 Correct 78 ms 5704 KB Output is correct
22 Correct 79 ms 5636 KB Output is correct
23 Correct 79 ms 5596 KB Output is correct
24 Correct 77 ms 5816 KB Output is correct
25 Correct 81 ms 5740 KB Output is correct
26 Correct 2 ms 2772 KB Output is correct
27 Correct 2 ms 2772 KB Output is correct
28 Correct 4 ms 2900 KB Output is correct
29 Correct 27 ms 3788 KB Output is correct
30 Correct 53 ms 4696 KB Output is correct
31 Correct 81 ms 5648 KB Output is correct
32 Correct 88 ms 5488 KB Output is correct
33 Correct 83 ms 5620 KB Output is correct
34 Correct 80 ms 5484 KB Output is correct
35 Correct 80 ms 5528 KB Output is correct
36 Correct 81 ms 5448 KB Output is correct
37 Correct 89 ms 5612 KB Output is correct
38 Correct 84 ms 5808 KB Output is correct
39 Correct 81 ms 5524 KB Output is correct
40 Correct 83 ms 5560 KB Output is correct
41 Correct 2 ms 2764 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 2900 KB Output is correct
45 Correct 5 ms 2904 KB Output is correct
46 Correct 4 ms 2944 KB Output is correct
47 Correct 17 ms 3404 KB Output is correct
48 Correct 16 ms 3284 KB Output is correct
49 Correct 30 ms 3712 KB Output is correct
50 Correct 58 ms 4444 KB Output is correct
51 Correct 86 ms 5212 KB Output is correct
52 Correct 95 ms 5456 KB Output is correct
53 Correct 88 ms 5280 KB Output is correct
54 Correct 87 ms 5232 KB Output is correct
55 Correct 86 ms 5268 KB Output is correct
56 Correct 91 ms 5236 KB Output is correct
57 Correct 89 ms 5156 KB Output is correct
58 Correct 87 ms 5276 KB Output is correct
59 Correct 88 ms 5184 KB Output is correct
60 Correct 89 ms 5272 KB Output is correct
61 Correct 87 ms 5268 KB Output is correct
62 Correct 88 ms 5352 KB Output is correct
63 Correct 89 ms 5196 KB Output is correct
64 Correct 87 ms 5268 KB Output is correct
65 Correct 86 ms 5280 KB Output is correct
66 Correct 87 ms 5196 KB Output is correct
67 Correct 86 ms 5272 KB Output is correct
68 Correct 88 ms 5196 KB Output is correct
69 Correct 87 ms 5232 KB Output is correct
70 Correct 87 ms 5204 KB Output is correct
71 Correct 16 ms 3276 KB Output is correct
72 Correct 19 ms 3284 KB Output is correct
73 Correct 17 ms 3284 KB Output is correct
74 Correct 17 ms 3404 KB Output is correct
75 Correct 17 ms 3276 KB Output is correct
76 Correct 32 ms 3828 KB Output is correct
77 Correct 32 ms 3784 KB Output is correct
78 Correct 31 ms 3804 KB Output is correct
79 Correct 32 ms 3796 KB Output is correct
80 Correct 31 ms 3784 KB Output is correct
81 Correct 63 ms 4636 KB Output is correct
82 Correct 61 ms 4652 KB Output is correct
83 Correct 64 ms 4700 KB Output is correct
84 Correct 61 ms 4680 KB Output is correct
85 Correct 63 ms 4684 KB Output is correct
86 Correct 63 ms 4812 KB Output is correct
87 Correct 65 ms 4956 KB Output is correct
88 Correct 64 ms 4920 KB Output is correct
89 Correct 63 ms 4812 KB Output is correct
90 Correct 64 ms 4868 KB Output is correct
91 Correct 98 ms 7648 KB Output is correct
92 Correct 103 ms 9156 KB Output is correct
93 Correct 104 ms 9088 KB Output is correct
94 Correct 100 ms 9016 KB Output is correct
95 Correct 109 ms 9036 KB Output is correct
96 Correct 121 ms 11376 KB Output is correct
97 Correct 117 ms 11340 KB Output is correct
98 Correct 117 ms 11468 KB Output is correct
99 Correct 104 ms 11392 KB Output is correct
100 Correct 103 ms 11436 KB Output is correct
101 Correct 107 ms 11432 KB Output is correct
102 Correct 109 ms 11412 KB Output is correct
103 Correct 104 ms 11464 KB Output is correct
104 Correct 104 ms 11420 KB Output is correct
105 Correct 103 ms 11368 KB Output is correct
106 Correct 107 ms 12608 KB Output is correct
107 Correct 106 ms 12572 KB Output is correct
108 Correct 102 ms 12624 KB Output is correct
109 Correct 102 ms 12536 KB Output is correct
110 Correct 109 ms 12676 KB Output is correct
111 Correct 108 ms 12628 KB Output is correct
112 Correct 105 ms 12624 KB Output is correct
113 Correct 104 ms 12528 KB Output is correct
114 Correct 109 ms 12604 KB Output is correct
115 Correct 103 ms 12636 KB Output is correct

Subtask #6
0 / 36.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 2760 KB Output is correct
2 Correct 1 ms 2772 KB Output is correct
3 Correct 2 ms 2780 KB Output is correct
4 Correct 1 ms 2772 KB Output is correct
5 Correct 1 ms 2772 KB Output is correct
6 Correct 2 ms 2772 KB Output is correct
7 Correct 1 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 2 ms 2772 KB Output is correct
12 Correct 2 ms 2772 KB Output is correct
13 Correct 5 ms 2856 KB Output is correct
14 Correct 27 ms 3864 KB Output is correct
15 Correct 50 ms 4928 KB Output is correct
16 Correct 79 ms 5632 KB Output is correct
17 Correct 75 ms 6476 KB Output is correct
18 Correct 85 ms 5540 KB Output is correct
19 Correct 78 ms 5608 KB Output is correct
20 Correct 78 ms 5996 KB Output is correct
21 Correct 78 ms 5704 KB Output is correct
22 Correct 79 ms 5636 KB Output is correct
23 Correct 79 ms 5596 KB Output is correct
24 Correct 77 ms 5816 KB Output is correct
25 Correct 81 ms 5740 KB Output is correct
26 Correct 2 ms 2772 KB Output is correct
27 Correct 2 ms 2772 KB Output is correct
28 Correct 4 ms 2900 KB Output is correct
29 Correct 27 ms 3788 KB Output is correct
30 Correct 53 ms 4696 KB Output is correct
31 Correct 81 ms 5648 KB Output is correct
32 Correct 88 ms 5488 KB Output is correct
33 Correct 83 ms 5620 KB Output is correct
34 Correct 80 ms 5484 KB Output is correct
35 Correct 80 ms 5528 KB Output is correct
36 Correct 81 ms 5448 KB Output is correct
37 Correct 89 ms 5612 KB Output is correct
38 Correct 84 ms 5808 KB Output is correct
39 Correct 81 ms 5524 KB Output is correct
40 Correct 83 ms 5560 KB Output is correct
41 Correct 2 ms 2764 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 2900 KB Output is correct
45 Correct 5 ms 2904 KB Output is correct
46 Correct 4 ms 2944 KB Output is correct
47 Correct 17 ms 3404 KB Output is correct
48 Correct 16 ms 3284 KB Output is correct
49 Correct 30 ms 3712 KB Output is correct
50 Correct 58 ms 4444 KB Output is correct
51 Correct 86 ms 5212 KB Output is correct
52 Correct 95 ms 5456 KB Output is correct
53 Correct 88 ms 5280 KB Output is correct
54 Correct 87 ms 5232 KB Output is correct
55 Correct 86 ms 5268 KB Output is correct
56 Correct 91 ms 5236 KB Output is correct
57 Correct 89 ms 5156 KB Output is correct
58 Correct 87 ms 5276 KB Output is correct
59 Correct 88 ms 5184 KB Output is correct
60 Correct 89 ms 5272 KB Output is correct
61 Correct 87 ms 5268 KB Output is correct
62 Correct 88 ms 5352 KB Output is correct
63 Correct 89 ms 5196 KB Output is correct
64 Correct 87 ms 5268 KB Output is correct
65 Correct 86 ms 5280 KB Output is correct
66 Correct 87 ms 5196 KB Output is correct
67 Correct 86 ms 5272 KB Output is correct
68 Correct 88 ms 5196 KB Output is correct
69 Correct 87 ms 5232 KB Output is correct
70 Correct 87 ms 5204 KB Output is correct
71 Correct 16 ms 3276 KB Output is correct
72 Correct 19 ms 3284 KB Output is correct
73 Correct 17 ms 3284 KB Output is correct
74 Correct 17 ms 3404 KB Output is correct
75 Correct 17 ms 3276 KB Output is correct
76 Correct 32 ms 3828 KB Output is correct
77 Correct 32 ms 3784 KB Output is correct
78 Correct 31 ms 3804 KB Output is correct
79 Correct 32 ms 3796 KB Output is correct
80 Correct 31 ms 3784 KB Output is correct
81 Correct 63 ms 4636 KB Output is correct
82 Correct 61 ms 4652 KB Output is correct
83 Correct 64 ms 4700 KB Output is correct
84 Correct 61 ms 4680 KB Output is correct
85 Correct 63 ms 4684 KB Output is correct
86 Correct 63 ms 4812 KB Output is correct
87 Correct 65 ms 4956 KB Output is correct
88 Correct 64 ms 4920 KB Output is correct
89 Correct 63 ms 4812 KB Output is correct
90 Correct 64 ms 4868 KB Output is correct
91 Correct 98 ms 7648 KB Output is correct
92 Correct 103 ms 9156 KB Output is correct
93 Correct 104 ms 9088 KB Output is correct
94 Correct 100 ms 9016 KB Output is correct
95 Correct 109 ms 9036 KB Output is correct
96 Correct 121 ms 11376 KB Output is correct
97 Correct 117 ms 11340 KB Output is correct
98 Correct 117 ms 11468 KB Output is correct
99 Correct 104 ms 11392 KB Output is correct
100 Correct 103 ms 11436 KB Output is correct
101 Correct 107 ms 11432 KB Output is correct
102 Correct 109 ms 11412 KB Output is correct
103 Correct 104 ms 11464 KB Output is correct
104 Correct 104 ms 11420 KB Output is correct
105 Correct 103 ms 11368 KB Output is correct
106 Correct 107 ms 12608 KB Output is correct
107 Correct 106 ms 12572 KB Output is correct
108 Correct 102 ms 12624 KB Output is correct
109 Correct 102 ms 12536 KB Output is correct
110 Correct 109 ms 12676 KB Output is correct
111 Correct 108 ms 12628 KB Output is correct
112 Correct 105 ms 12624 KB Output is correct
113 Correct 104 ms 12528 KB Output is correct
114 Correct 109 ms 12604 KB Output is correct
115 Correct 103 ms 12636 KB Output is correct
116 Correct 1951 ms 5320 KB Output is correct
117 Correct 1992 ms 5328 KB Output is correct
118 Correct 3001 ms 5980 KB Output is correct
119 Correct 3040 ms 6096 KB Output is correct
120 Correct 3060 ms 6024 KB Output is correct
121 Correct 6002 ms 6732 KB Output is correct
122 Correct 6157 ms 6692 KB Output is correct
123 Execution timed out 7010 ms 7240 KB Time limit exceeded
124 Halted 0 ms 0 KB -