Submission #696606

# Submission time Handle Problem Language Result Execution time Memory
696606 2023-02-07T01:12:12 Z cig32 Diversity (CEOI21_diversity) C++14
64 / 100
7000 ms 12512 KB
#pragma GCC optimize("Ofast")
#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) {
  int cal1 = sum1(i), cal2 = sum2(i);
  ans -= (cal1 - f[i]) * f[i] * i;
  ans += (cal2 - f[i] * (i-1)) * f[i];
  ans -= f[i] * (sum2all - cal2 + sum1all - cal1);
  ans += f[i] * (i-1) * (sum1all - cal1);
  add1(i, x-f[i]);
  add2(i, (x-f[i]) * (i-1));
  ans -= f[i] * (f[i] + 1) / 2;
  f[i] = x;
  ans += f[i] * (f[i] + 1) / 2;
  cal1 += x-f[i];
  cal2 += (x-f[i]) * (i-1);
  ans += (cal1 - f[i]) * f[i] * i;
  ans -= (cal2 - f[i] * (i-1)) * f[i];
  ans += f[i] * (sum2all - cal2 + sum1all - cal1);
  ans -= f[i] * (i-1) * (sum1all - cal1);
}
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);
}
# 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 1 ms 2772 KB Output is correct
4 Correct 1 ms 2772 KB Output is correct
5 Correct 2 ms 2768 KB Output is correct
6 Correct 2 ms 2772 KB Output is correct
7 Correct 1 ms 2772 KB Output is correct
8 Correct 2 ms 2768 KB Output is correct
9 Correct 2 ms 2772 KB Output is correct
10 Correct 2 ms 2772 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 1 ms 2772 KB Output is correct
2 Correct 2 ms 2900 KB Output is correct
3 Correct 4 ms 2896 KB Output is correct
4 Correct 17 ms 3924 KB Output is correct
5 Correct 35 ms 5196 KB Output is correct
6 Correct 52 ms 6204 KB Output is correct
7 Correct 46 ms 6880 KB Output is correct
8 Correct 50 ms 6068 KB Output is correct
9 Correct 48 ms 6152 KB Output is correct
10 Correct 58 ms 6520 KB Output is correct
11 Correct 49 ms 6288 KB Output is correct
12 Correct 48 ms 6168 KB Output is correct
13 Correct 57 ms 6132 KB Output is correct
14 Correct 50 ms 6244 KB Output is correct
15 Correct 53 ms 6172 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 1 ms 2772 KB Output is correct
2 Correct 2 ms 2900 KB Output is correct
3 Correct 4 ms 2896 KB Output is correct
4 Correct 17 ms 3924 KB Output is correct
5 Correct 35 ms 5196 KB Output is correct
6 Correct 52 ms 6204 KB Output is correct
7 Correct 46 ms 6880 KB Output is correct
8 Correct 50 ms 6068 KB Output is correct
9 Correct 48 ms 6152 KB Output is correct
10 Correct 58 ms 6520 KB Output is correct
11 Correct 49 ms 6288 KB Output is correct
12 Correct 48 ms 6168 KB Output is correct
13 Correct 57 ms 6132 KB Output is correct
14 Correct 50 ms 6244 KB Output is correct
15 Correct 53 ms 6172 KB Output is correct
16 Correct 2 ms 2760 KB Output is correct
17 Correct 2 ms 2772 KB Output is correct
18 Correct 4 ms 2904 KB Output is correct
19 Correct 19 ms 3940 KB Output is correct
20 Correct 35 ms 5080 KB Output is correct
21 Correct 52 ms 6304 KB Output is correct
22 Correct 55 ms 6148 KB Output is correct
23 Correct 51 ms 6200 KB Output is correct
24 Correct 53 ms 6176 KB Output is correct
25 Correct 52 ms 6112 KB Output is correct
26 Correct 63 ms 6076 KB Output is correct
27 Correct 75 ms 6228 KB Output is correct
28 Correct 65 ms 6376 KB Output is correct
29 Correct 51 ms 6092 KB Output is correct
30 Correct 53 ms 6240 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 1 ms 2772 KB Output is correct
2 Correct 2 ms 2900 KB Output is correct
3 Correct 4 ms 2896 KB Output is correct
4 Correct 17 ms 3924 KB Output is correct
5 Correct 35 ms 5196 KB Output is correct
6 Correct 52 ms 6204 KB Output is correct
7 Correct 46 ms 6880 KB Output is correct
8 Correct 50 ms 6068 KB Output is correct
9 Correct 48 ms 6152 KB Output is correct
10 Correct 58 ms 6520 KB Output is correct
11 Correct 49 ms 6288 KB Output is correct
12 Correct 48 ms 6168 KB Output is correct
13 Correct 57 ms 6132 KB Output is correct
14 Correct 50 ms 6244 KB Output is correct
15 Correct 53 ms 6172 KB Output is correct
16 Correct 2 ms 2760 KB Output is correct
17 Correct 2 ms 2772 KB Output is correct
18 Correct 4 ms 2904 KB Output is correct
19 Correct 19 ms 3940 KB Output is correct
20 Correct 35 ms 5080 KB Output is correct
21 Correct 52 ms 6304 KB Output is correct
22 Correct 55 ms 6148 KB Output is correct
23 Correct 51 ms 6200 KB Output is correct
24 Correct 53 ms 6176 KB Output is correct
25 Correct 52 ms 6112 KB Output is correct
26 Correct 63 ms 6076 KB Output is correct
27 Correct 75 ms 6228 KB Output is correct
28 Correct 65 ms 6376 KB Output is correct
29 Correct 51 ms 6092 KB Output is correct
30 Correct 53 ms 6240 KB Output is correct
31 Correct 2 ms 2772 KB Output is correct
32 Correct 2 ms 2764 KB Output is correct
33 Correct 2 ms 2772 KB Output is correct
34 Correct 3 ms 2900 KB Output is correct
35 Correct 4 ms 2900 KB Output is correct
36 Correct 5 ms 2904 KB Output is correct
37 Correct 11 ms 3284 KB Output is correct
38 Correct 11 ms 3284 KB Output is correct
39 Correct 20 ms 3920 KB Output is correct
40 Correct 49 ms 5140 KB Output is correct
41 Correct 59 ms 6288 KB Output is correct
42 Correct 64 ms 6288 KB Output is correct
43 Correct 62 ms 6288 KB Output is correct
44 Correct 81 ms 6300 KB Output is correct
45 Correct 68 ms 6288 KB Output is correct
46 Correct 66 ms 6288 KB Output is correct
47 Correct 72 ms 6288 KB Output is correct
48 Correct 58 ms 6236 KB Output is correct
49 Correct 63 ms 6240 KB Output is correct
50 Correct 60 ms 6232 KB Output is correct
51 Correct 62 ms 6236 KB Output is correct
52 Correct 71 ms 6288 KB Output is correct
53 Correct 70 ms 6408 KB Output is correct
54 Correct 60 ms 6288 KB Output is correct
55 Correct 75 ms 6288 KB Output is correct
56 Correct 73 ms 6244 KB Output is correct
57 Correct 67 ms 6276 KB Output is correct
58 Correct 97 ms 6288 KB Output is correct
59 Correct 75 ms 6288 KB Output is correct
60 Correct 75 ms 6244 KB Output is correct
# 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 1 ms 2772 KB Output is correct
4 Correct 1 ms 2772 KB Output is correct
5 Correct 2 ms 2768 KB Output is correct
6 Correct 2 ms 2772 KB Output is correct
7 Correct 1 ms 2772 KB Output is correct
8 Correct 2 ms 2768 KB Output is correct
9 Correct 2 ms 2772 KB Output is correct
10 Correct 2 ms 2772 KB Output is correct
11 Correct 1 ms 2772 KB Output is correct
12 Correct 2 ms 2900 KB Output is correct
13 Correct 4 ms 2896 KB Output is correct
14 Correct 17 ms 3924 KB Output is correct
15 Correct 35 ms 5196 KB Output is correct
16 Correct 52 ms 6204 KB Output is correct
17 Correct 46 ms 6880 KB Output is correct
18 Correct 50 ms 6068 KB Output is correct
19 Correct 48 ms 6152 KB Output is correct
20 Correct 58 ms 6520 KB Output is correct
21 Correct 49 ms 6288 KB Output is correct
22 Correct 48 ms 6168 KB Output is correct
23 Correct 57 ms 6132 KB Output is correct
24 Correct 50 ms 6244 KB Output is correct
25 Correct 53 ms 6172 KB Output is correct
26 Correct 2 ms 2760 KB Output is correct
27 Correct 2 ms 2772 KB Output is correct
28 Correct 4 ms 2904 KB Output is correct
29 Correct 19 ms 3940 KB Output is correct
30 Correct 35 ms 5080 KB Output is correct
31 Correct 52 ms 6304 KB Output is correct
32 Correct 55 ms 6148 KB Output is correct
33 Correct 51 ms 6200 KB Output is correct
34 Correct 53 ms 6176 KB Output is correct
35 Correct 52 ms 6112 KB Output is correct
36 Correct 63 ms 6076 KB Output is correct
37 Correct 75 ms 6228 KB Output is correct
38 Correct 65 ms 6376 KB Output is correct
39 Correct 51 ms 6092 KB Output is correct
40 Correct 53 ms 6240 KB Output is correct
41 Correct 2 ms 2772 KB Output is correct
42 Correct 2 ms 2764 KB Output is correct
43 Correct 2 ms 2772 KB Output is correct
44 Correct 3 ms 2900 KB Output is correct
45 Correct 4 ms 2900 KB Output is correct
46 Correct 5 ms 2904 KB Output is correct
47 Correct 11 ms 3284 KB Output is correct
48 Correct 11 ms 3284 KB Output is correct
49 Correct 20 ms 3920 KB Output is correct
50 Correct 49 ms 5140 KB Output is correct
51 Correct 59 ms 6288 KB Output is correct
52 Correct 64 ms 6288 KB Output is correct
53 Correct 62 ms 6288 KB Output is correct
54 Correct 81 ms 6300 KB Output is correct
55 Correct 68 ms 6288 KB Output is correct
56 Correct 66 ms 6288 KB Output is correct
57 Correct 72 ms 6288 KB Output is correct
58 Correct 58 ms 6236 KB Output is correct
59 Correct 63 ms 6240 KB Output is correct
60 Correct 60 ms 6232 KB Output is correct
61 Correct 62 ms 6236 KB Output is correct
62 Correct 71 ms 6288 KB Output is correct
63 Correct 70 ms 6408 KB Output is correct
64 Correct 60 ms 6288 KB Output is correct
65 Correct 75 ms 6288 KB Output is correct
66 Correct 73 ms 6244 KB Output is correct
67 Correct 67 ms 6276 KB Output is correct
68 Correct 97 ms 6288 KB Output is correct
69 Correct 75 ms 6288 KB Output is correct
70 Correct 75 ms 6244 KB Output is correct
71 Correct 12 ms 3412 KB Output is correct
72 Correct 11 ms 3412 KB Output is correct
73 Correct 13 ms 3448 KB Output is correct
74 Correct 14 ms 3432 KB Output is correct
75 Correct 15 ms 3380 KB Output is correct
76 Correct 24 ms 4052 KB Output is correct
77 Correct 21 ms 4140 KB Output is correct
78 Correct 21 ms 4152 KB Output is correct
79 Correct 21 ms 4148 KB Output is correct
80 Correct 21 ms 4124 KB Output is correct
81 Correct 40 ms 5528 KB Output is correct
82 Correct 40 ms 5524 KB Output is correct
83 Correct 52 ms 5484 KB Output is correct
84 Correct 41 ms 5476 KB Output is correct
85 Correct 44 ms 5532 KB Output is correct
86 Correct 50 ms 5852 KB Output is correct
87 Correct 56 ms 5852 KB Output is correct
88 Correct 42 ms 5772 KB Output is correct
89 Correct 43 ms 5840 KB Output is correct
90 Correct 60 ms 5832 KB Output is correct
91 Correct 81 ms 8980 KB Output is correct
92 Correct 88 ms 8996 KB Output is correct
93 Correct 67 ms 8968 KB Output is correct
94 Correct 69 ms 8888 KB Output is correct
95 Correct 65 ms 8876 KB Output is correct
96 Correct 71 ms 11224 KB Output is correct
97 Correct 75 ms 11268 KB Output is correct
98 Correct 73 ms 11236 KB Output is correct
99 Correct 76 ms 11352 KB Output is correct
100 Correct 76 ms 11328 KB Output is correct
101 Correct 75 ms 11312 KB Output is correct
102 Correct 81 ms 11372 KB Output is correct
103 Correct 84 ms 11332 KB Output is correct
104 Correct 79 ms 11308 KB Output is correct
105 Correct 78 ms 11296 KB Output is correct
106 Correct 81 ms 12484 KB Output is correct
107 Correct 76 ms 12512 KB Output is correct
108 Correct 79 ms 12388 KB Output is correct
109 Correct 74 ms 12448 KB Output is correct
110 Correct 82 ms 12436 KB Output is correct
111 Correct 79 ms 12504 KB Output is correct
112 Correct 71 ms 12388 KB Output is correct
113 Correct 72 ms 12428 KB Output is correct
114 Correct 71 ms 12492 KB Output is correct
115 Correct 71 ms 12448 KB Output is correct
# 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 1 ms 2772 KB Output is correct
4 Correct 1 ms 2772 KB Output is correct
5 Correct 2 ms 2768 KB Output is correct
6 Correct 2 ms 2772 KB Output is correct
7 Correct 1 ms 2772 KB Output is correct
8 Correct 2 ms 2768 KB Output is correct
9 Correct 2 ms 2772 KB Output is correct
10 Correct 2 ms 2772 KB Output is correct
11 Correct 1 ms 2772 KB Output is correct
12 Correct 2 ms 2900 KB Output is correct
13 Correct 4 ms 2896 KB Output is correct
14 Correct 17 ms 3924 KB Output is correct
15 Correct 35 ms 5196 KB Output is correct
16 Correct 52 ms 6204 KB Output is correct
17 Correct 46 ms 6880 KB Output is correct
18 Correct 50 ms 6068 KB Output is correct
19 Correct 48 ms 6152 KB Output is correct
20 Correct 58 ms 6520 KB Output is correct
21 Correct 49 ms 6288 KB Output is correct
22 Correct 48 ms 6168 KB Output is correct
23 Correct 57 ms 6132 KB Output is correct
24 Correct 50 ms 6244 KB Output is correct
25 Correct 53 ms 6172 KB Output is correct
26 Correct 2 ms 2760 KB Output is correct
27 Correct 2 ms 2772 KB Output is correct
28 Correct 4 ms 2904 KB Output is correct
29 Correct 19 ms 3940 KB Output is correct
30 Correct 35 ms 5080 KB Output is correct
31 Correct 52 ms 6304 KB Output is correct
32 Correct 55 ms 6148 KB Output is correct
33 Correct 51 ms 6200 KB Output is correct
34 Correct 53 ms 6176 KB Output is correct
35 Correct 52 ms 6112 KB Output is correct
36 Correct 63 ms 6076 KB Output is correct
37 Correct 75 ms 6228 KB Output is correct
38 Correct 65 ms 6376 KB Output is correct
39 Correct 51 ms 6092 KB Output is correct
40 Correct 53 ms 6240 KB Output is correct
41 Correct 2 ms 2772 KB Output is correct
42 Correct 2 ms 2764 KB Output is correct
43 Correct 2 ms 2772 KB Output is correct
44 Correct 3 ms 2900 KB Output is correct
45 Correct 4 ms 2900 KB Output is correct
46 Correct 5 ms 2904 KB Output is correct
47 Correct 11 ms 3284 KB Output is correct
48 Correct 11 ms 3284 KB Output is correct
49 Correct 20 ms 3920 KB Output is correct
50 Correct 49 ms 5140 KB Output is correct
51 Correct 59 ms 6288 KB Output is correct
52 Correct 64 ms 6288 KB Output is correct
53 Correct 62 ms 6288 KB Output is correct
54 Correct 81 ms 6300 KB Output is correct
55 Correct 68 ms 6288 KB Output is correct
56 Correct 66 ms 6288 KB Output is correct
57 Correct 72 ms 6288 KB Output is correct
58 Correct 58 ms 6236 KB Output is correct
59 Correct 63 ms 6240 KB Output is correct
60 Correct 60 ms 6232 KB Output is correct
61 Correct 62 ms 6236 KB Output is correct
62 Correct 71 ms 6288 KB Output is correct
63 Correct 70 ms 6408 KB Output is correct
64 Correct 60 ms 6288 KB Output is correct
65 Correct 75 ms 6288 KB Output is correct
66 Correct 73 ms 6244 KB Output is correct
67 Correct 67 ms 6276 KB Output is correct
68 Correct 97 ms 6288 KB Output is correct
69 Correct 75 ms 6288 KB Output is correct
70 Correct 75 ms 6244 KB Output is correct
71 Correct 12 ms 3412 KB Output is correct
72 Correct 11 ms 3412 KB Output is correct
73 Correct 13 ms 3448 KB Output is correct
74 Correct 14 ms 3432 KB Output is correct
75 Correct 15 ms 3380 KB Output is correct
76 Correct 24 ms 4052 KB Output is correct
77 Correct 21 ms 4140 KB Output is correct
78 Correct 21 ms 4152 KB Output is correct
79 Correct 21 ms 4148 KB Output is correct
80 Correct 21 ms 4124 KB Output is correct
81 Correct 40 ms 5528 KB Output is correct
82 Correct 40 ms 5524 KB Output is correct
83 Correct 52 ms 5484 KB Output is correct
84 Correct 41 ms 5476 KB Output is correct
85 Correct 44 ms 5532 KB Output is correct
86 Correct 50 ms 5852 KB Output is correct
87 Correct 56 ms 5852 KB Output is correct
88 Correct 42 ms 5772 KB Output is correct
89 Correct 43 ms 5840 KB Output is correct
90 Correct 60 ms 5832 KB Output is correct
91 Correct 81 ms 8980 KB Output is correct
92 Correct 88 ms 8996 KB Output is correct
93 Correct 67 ms 8968 KB Output is correct
94 Correct 69 ms 8888 KB Output is correct
95 Correct 65 ms 8876 KB Output is correct
96 Correct 71 ms 11224 KB Output is correct
97 Correct 75 ms 11268 KB Output is correct
98 Correct 73 ms 11236 KB Output is correct
99 Correct 76 ms 11352 KB Output is correct
100 Correct 76 ms 11328 KB Output is correct
101 Correct 75 ms 11312 KB Output is correct
102 Correct 81 ms 11372 KB Output is correct
103 Correct 84 ms 11332 KB Output is correct
104 Correct 79 ms 11308 KB Output is correct
105 Correct 78 ms 11296 KB Output is correct
106 Correct 81 ms 12484 KB Output is correct
107 Correct 76 ms 12512 KB Output is correct
108 Correct 79 ms 12388 KB Output is correct
109 Correct 74 ms 12448 KB Output is correct
110 Correct 82 ms 12436 KB Output is correct
111 Correct 79 ms 12504 KB Output is correct
112 Correct 71 ms 12388 KB Output is correct
113 Correct 72 ms 12428 KB Output is correct
114 Correct 71 ms 12492 KB Output is correct
115 Correct 71 ms 12448 KB Output is correct
116 Correct 1146 ms 5328 KB Output is correct
117 Correct 1157 ms 5332 KB Output is correct
118 Correct 1651 ms 5972 KB Output is correct
119 Correct 1723 ms 6020 KB Output is correct
120 Correct 1746 ms 6020 KB Output is correct
121 Correct 3441 ms 6632 KB Output is correct
122 Correct 3484 ms 6724 KB Output is correct
123 Execution timed out 7023 ms 7328 KB Time limit exceeded
124 Halted 0 ms 0 KB -