oj.uz

Submission #696874

# Submission time Handle Problem Language Result Execution time Memory
696874 2023-02-07T14:06:13 Z cig32 Diversity (CEOI21_diversity) C++14
64 / 100
 7000 ms 4632 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 freq[MAXN], ff[MAXN], n;
 
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;
}
 
bool byfreq(int x, int y) {
  return freq[x] < freq[y];
}
void solve(int tc) {
  int q;
  cin >> n >> q;
  int c = 300000;
  block = ceil(sqrt(n));
  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;
  vector<int> v;
  // O(sqrt(n)) frequencies
  set<int> all; // set of all frequencies
  for(int i=1; i<=q; i++) {
    while(l > qry[i].first.first) {
      l--;
      ff[freq[arr[l]]]--;
      if(ff[freq[arr[l]]] == 0) all.erase(freq[arr[l]]);
      freq[arr[l]]++;
      ff[freq[arr[l]]]++;
      if(ff[freq[arr[l]]] == 1) all.insert(freq[arr[l]]);
    }
    while(r > qry[i].first.second) {
      ff[freq[arr[r]]]--;
      if(ff[freq[arr[r]]] == 0) all.erase(freq[arr[r]]);
      freq[arr[r]]--;
      ff[freq[arr[r]]]++;
      if(ff[freq[arr[r]]] == 1) all.insert(freq[arr[r]]);
      r--;
    }
    while(r < qry[i].first.second) {
      r++;
      ff[freq[arr[r]]]--;
      if(ff[freq[arr[r]]] == 0) all.erase(freq[arr[r]]);
      freq[arr[r]]++;
      ff[freq[arr[r]]]++;
      if(ff[freq[arr[r]]] == 1) all.insert(freq[arr[r]]);
    }
    while(l < qry[i].first.first) {
      ff[freq[arr[l]]]--;
      if(ff[freq[arr[l]]] == 0) all.erase(freq[arr[l]]);
      freq[arr[l]]--;
      ff[freq[arr[l]]]++;
      if(ff[freq[arr[l]]] == 1) all.insert(freq[arr[l]]);
      l++;
    }
    
    queue<pair<int, int> > ln; stack<pair<int, int> > rn;
    int m = 0;
    for(int x: all) {
      // {x, ff[x]}
      if(ff[x] / 2 > 0) {
        ln.push({x, ff[x] / 2});
        rn.push({x, ff[x] / 2});
        m += 2;
      }
      if(ff[x] % 2) {
        if(ln.size() > rn.size()) rn.push({x, 1});
        else ln.push({x, 1});
        m++;
      }
    }
    pair<int, int> b[m];
    int it = 0;
    while(ln.size()) {
      b[it++] = ln.front(); ln.pop();
    }
    while(rn.size()) {
      b[it++] = rn.top(); rn.pop();
    }
    int ans = 0;
    int ws=0,wps=0,tps=0,ps=0;
    for(int i=0; i<m; i++) {
      int F = b[i].first;
      int C = b[i].second;
      int t3 = F * C * (C+1) / 2 * ws - F * C * tps / 2 + F * C * ws;
      ans += C * F * (ps * ws - wps) + t3;
      ws += C * F;
      wps += C * F * ps;
      tps += C * F * (C + 1);
      ps += C;
    }
    for(int i=0; i<m; i++) {
      ans += b[i].first * (b[i].first + 1) / 2 * b[i].second;
      int totn = (b[i].second - 1) * b[i].second / 2 * (b[i].second + 1);
      totn -= b[i].second * (b[i].second - 1) * (2 * b[i].second - 1) / 6;
      ans += totn * b[i].first * b[i].first;
    }
    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);
}

Compilation message

diversity.cpp: In function 'void solve(long long int)':
diversity.cpp:39:7: warning: unused variable 'c' [-Wunused-variable]
   39 |   int c = 300000;
      |       ^

Subtask #1
4.0 / 4.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 212 KB Output is correct
2 Correct 0 ms 212 KB Output is correct
3 Correct 0 ms 340 KB Output is correct
4 Correct 0 ms 212 KB Output is correct
5 Correct 0 ms 212 KB Output is correct
6 Correct 0 ms 340 KB Output is correct
7 Correct 0 ms 212 KB Output is correct
8 Correct 0 ms 340 KB Output is correct
9 Correct 0 ms 212 KB Output is correct
10 Correct 0 ms 212 KB Output is correct

Subtask #2
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 0 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 14 ms 1252 KB Output is correct
5 Correct 29 ms 2464 KB Output is correct
6 Correct 49 ms 3036 KB Output is correct
7 Correct 36 ms 3864 KB Output is correct
8 Correct 42 ms 3052 KB Output is correct
9 Correct 41 ms 3116 KB Output is correct
10 Correct 40 ms 3404 KB Output is correct
11 Correct 52 ms 3180 KB Output is correct
12 Correct 44 ms 3056 KB Output is correct
13 Correct 44 ms 2972 KB Output is correct
14 Correct 40 ms 3276 KB Output is correct
15 Correct 40 ms 3148 KB Output is correct

Subtask #3
8.0 / 8.0

# Verdict Execution time Memory Grader output
1 Correct 0 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 14 ms 1252 KB Output is correct
5 Correct 29 ms 2464 KB Output is correct
6 Correct 49 ms 3036 KB Output is correct
7 Correct 36 ms 3864 KB Output is correct
8 Correct 42 ms 3052 KB Output is correct
9 Correct 41 ms 3116 KB Output is correct
10 Correct 40 ms 3404 KB Output is correct
11 Correct 52 ms 3180 KB Output is correct
12 Correct 44 ms 3056 KB Output is correct
13 Correct 44 ms 2972 KB Output is correct
14 Correct 40 ms 3276 KB Output is correct
15 Correct 40 ms 3148 KB Output is correct
16 Correct 0 ms 212 KB Output is correct
17 Correct 1 ms 340 KB Output is correct
18 Correct 2 ms 340 KB Output is correct
19 Correct 16 ms 1152 KB Output is correct
20 Correct 32 ms 2128 KB Output is correct
21 Correct 48 ms 3056 KB Output is correct
22 Correct 49 ms 2932 KB Output is correct
23 Correct 54 ms 3044 KB Output is correct
24 Correct 57 ms 2940 KB Output is correct
25 Correct 49 ms 2904 KB Output is correct
26 Correct 53 ms 2892 KB Output is correct
27 Correct 50 ms 2932 KB Output is correct
28 Correct 47 ms 3204 KB Output is correct
29 Correct 48 ms 2936 KB Output is correct
30 Correct 50 ms 2976 KB Output is correct

Subtask #4
16.0 / 16.0

# Verdict Execution time Memory Grader output
1 Correct 0 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 14 ms 1252 KB Output is correct
5 Correct 29 ms 2464 KB Output is correct
6 Correct 49 ms 3036 KB Output is correct
7 Correct 36 ms 3864 KB Output is correct
8 Correct 42 ms 3052 KB Output is correct
9 Correct 41 ms 3116 KB Output is correct
10 Correct 40 ms 3404 KB Output is correct
11 Correct 52 ms 3180 KB Output is correct
12 Correct 44 ms 3056 KB Output is correct
13 Correct 44 ms 2972 KB Output is correct
14 Correct 40 ms 3276 KB Output is correct
15 Correct 40 ms 3148 KB Output is correct
16 Correct 0 ms 212 KB Output is correct
17 Correct 1 ms 340 KB Output is correct
18 Correct 2 ms 340 KB Output is correct
19 Correct 16 ms 1152 KB Output is correct
20 Correct 32 ms 2128 KB Output is correct
21 Correct 48 ms 3056 KB Output is correct
22 Correct 49 ms 2932 KB Output is correct
23 Correct 54 ms 3044 KB Output is correct
24 Correct 57 ms 2940 KB Output is correct
25 Correct 49 ms 2904 KB Output is correct
26 Correct 53 ms 2892 KB Output is correct
27 Correct 50 ms 2932 KB Output is correct
28 Correct 47 ms 3204 KB Output is correct
29 Correct 48 ms 2936 KB Output is correct
30 Correct 50 ms 2976 KB Output is correct
31 Correct 1 ms 340 KB Output is correct
32 Correct 1 ms 340 KB Output is correct
33 Correct 0 ms 340 KB Output is correct
34 Correct 2 ms 340 KB Output is correct
35 Correct 1 ms 340 KB Output is correct
36 Correct 1 ms 340 KB Output is correct
37 Correct 7 ms 724 KB Output is correct
38 Correct 4 ms 724 KB Output is correct
39 Correct 10 ms 1108 KB Output is correct
40 Correct 23 ms 1876 KB Output is correct
41 Correct 41 ms 2720 KB Output is correct
42 Correct 39 ms 2684 KB Output is correct
43 Correct 40 ms 2672 KB Output is correct
44 Correct 40 ms 2708 KB Output is correct
45 Correct 39 ms 2644 KB Output is correct
46 Correct 38 ms 2696 KB Output is correct
47 Correct 39 ms 2804 KB Output is correct
48 Correct 39 ms 2692 KB Output is correct
49 Correct 39 ms 2708 KB Output is correct
50 Correct 39 ms 2716 KB Output is correct
51 Correct 39 ms 2716 KB Output is correct
52 Correct 38 ms 2712 KB Output is correct
53 Correct 39 ms 2708 KB Output is correct
54 Correct 40 ms 2716 KB Output is correct
55 Correct 38 ms 2672 KB Output is correct
56 Correct 38 ms 2644 KB Output is correct
57 Correct 38 ms 2720 KB Output is correct
58 Correct 39 ms 2676 KB Output is correct
59 Correct 40 ms 2692 KB Output is correct
60 Correct 39 ms 2644 KB Output is correct

Subtask #5
26.0 / 26.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 212 KB Output is correct
2 Correct 0 ms 212 KB Output is correct
3 Correct 0 ms 340 KB Output is correct
4 Correct 0 ms 212 KB Output is correct
5 Correct 0 ms 212 KB Output is correct
6 Correct 0 ms 340 KB Output is correct
7 Correct 0 ms 212 KB Output is correct
8 Correct 0 ms 340 KB Output is correct
9 Correct 0 ms 212 KB Output is correct
10 Correct 0 ms 212 KB Output is correct
11 Correct 0 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 14 ms 1252 KB Output is correct
15 Correct 29 ms 2464 KB Output is correct
16 Correct 49 ms 3036 KB Output is correct
17 Correct 36 ms 3864 KB Output is correct
18 Correct 42 ms 3052 KB Output is correct
19 Correct 41 ms 3116 KB Output is correct
20 Correct 40 ms 3404 KB Output is correct
21 Correct 52 ms 3180 KB Output is correct
22 Correct 44 ms 3056 KB Output is correct
23 Correct 44 ms 2972 KB Output is correct
24 Correct 40 ms 3276 KB Output is correct
25 Correct 40 ms 3148 KB Output is correct
26 Correct 0 ms 212 KB Output is correct
27 Correct 1 ms 340 KB Output is correct
28 Correct 2 ms 340 KB Output is correct
29 Correct 16 ms 1152 KB Output is correct
30 Correct 32 ms 2128 KB Output is correct
31 Correct 48 ms 3056 KB Output is correct
32 Correct 49 ms 2932 KB Output is correct
33 Correct 54 ms 3044 KB Output is correct
34 Correct 57 ms 2940 KB Output is correct
35 Correct 49 ms 2904 KB Output is correct
36 Correct 53 ms 2892 KB Output is correct
37 Correct 50 ms 2932 KB Output is correct
38 Correct 47 ms 3204 KB Output is correct
39 Correct 48 ms 2936 KB Output is correct
40 Correct 50 ms 2976 KB Output is correct
41 Correct 1 ms 340 KB Output is correct
42 Correct 1 ms 340 KB Output is correct
43 Correct 0 ms 340 KB Output is correct
44 Correct 2 ms 340 KB Output is correct
45 Correct 1 ms 340 KB Output is correct
46 Correct 1 ms 340 KB Output is correct
47 Correct 7 ms 724 KB Output is correct
48 Correct 4 ms 724 KB Output is correct
49 Correct 10 ms 1108 KB Output is correct
50 Correct 23 ms 1876 KB Output is correct
51 Correct 41 ms 2720 KB Output is correct
52 Correct 39 ms 2684 KB Output is correct
53 Correct 40 ms 2672 KB Output is correct
54 Correct 40 ms 2708 KB Output is correct
55 Correct 39 ms 2644 KB Output is correct
56 Correct 38 ms 2696 KB Output is correct
57 Correct 39 ms 2804 KB Output is correct
58 Correct 39 ms 2692 KB Output is correct
59 Correct 39 ms 2708 KB Output is correct
60 Correct 39 ms 2716 KB Output is correct
61 Correct 39 ms 2716 KB Output is correct
62 Correct 38 ms 2712 KB Output is correct
63 Correct 39 ms 2708 KB Output is correct
64 Correct 40 ms 2716 KB Output is correct
65 Correct 38 ms 2672 KB Output is correct
66 Correct 38 ms 2644 KB Output is correct
67 Correct 38 ms 2720 KB Output is correct
68 Correct 39 ms 2676 KB Output is correct
69 Correct 40 ms 2692 KB Output is correct
70 Correct 39 ms 2644 KB Output is correct
71 Correct 4 ms 724 KB Output is correct
72 Correct 4 ms 724 KB Output is correct
73 Correct 4 ms 724 KB Output is correct
74 Correct 5 ms 740 KB Output is correct
75 Correct 4 ms 724 KB Output is correct
76 Correct 8 ms 1108 KB Output is correct
77 Correct 10 ms 1112 KB Output is correct
78 Correct 8 ms 1108 KB Output is correct
79 Correct 10 ms 1108 KB Output is correct
80 Correct 8 ms 1108 KB Output is correct
81 Correct 15 ms 1876 KB Output is correct
82 Correct 15 ms 1892 KB Output is correct
83 Correct 15 ms 1896 KB Output is correct
84 Correct 15 ms 1896 KB Output is correct
85 Correct 15 ms 1896 KB Output is correct
86 Correct 16 ms 2020 KB Output is correct
87 Correct 17 ms 2024 KB Output is correct
88 Correct 16 ms 2060 KB Output is correct
89 Correct 16 ms 2056 KB Output is correct
90 Correct 19 ms 2048 KB Output is correct
91 Correct 25 ms 3444 KB Output is correct
92 Correct 25 ms 3412 KB Output is correct
93 Correct 26 ms 3436 KB Output is correct
94 Correct 25 ms 3440 KB Output is correct
95 Correct 26 ms 3436 KB Output is correct
96 Correct 30 ms 4204 KB Output is correct
97 Correct 33 ms 4224 KB Output is correct
98 Correct 30 ms 4208 KB Output is correct
99 Correct 29 ms 4148 KB Output is correct
100 Correct 29 ms 4204 KB Output is correct
101 Correct 29 ms 4212 KB Output is correct
102 Correct 32 ms 4204 KB Output is correct
103 Correct 30 ms 4208 KB Output is correct
104 Correct 29 ms 4204 KB Output is correct
105 Correct 29 ms 4180 KB Output is correct
106 Correct 29 ms 4588 KB Output is correct
107 Correct 31 ms 4564 KB Output is correct
108 Correct 30 ms 4556 KB Output is correct
109 Correct 32 ms 4584 KB Output is correct
110 Correct 35 ms 4588 KB Output is correct
111 Correct 32 ms 4592 KB Output is correct
112 Correct 29 ms 4576 KB Output is correct
113 Correct 29 ms 4600 KB Output is correct
114 Correct 32 ms 4632 KB Output is correct
115 Correct 32 ms 4584 KB Output is correct

Subtask #6
0 / 36.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 212 KB Output is correct
2 Correct 0 ms 212 KB Output is correct
3 Correct 0 ms 340 KB Output is correct
4 Correct 0 ms 212 KB Output is correct
5 Correct 0 ms 212 KB Output is correct
6 Correct 0 ms 340 KB Output is correct
7 Correct 0 ms 212 KB Output is correct
8 Correct 0 ms 340 KB Output is correct
9 Correct 0 ms 212 KB Output is correct
10 Correct 0 ms 212 KB Output is correct
11 Correct 0 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 14 ms 1252 KB Output is correct
15 Correct 29 ms 2464 KB Output is correct
16 Correct 49 ms 3036 KB Output is correct
17 Correct 36 ms 3864 KB Output is correct
18 Correct 42 ms 3052 KB Output is correct
19 Correct 41 ms 3116 KB Output is correct
20 Correct 40 ms 3404 KB Output is correct
21 Correct 52 ms 3180 KB Output is correct
22 Correct 44 ms 3056 KB Output is correct
23 Correct 44 ms 2972 KB Output is correct
24 Correct 40 ms 3276 KB Output is correct
25 Correct 40 ms 3148 KB Output is correct
26 Correct 0 ms 212 KB Output is correct
27 Correct 1 ms 340 KB Output is correct
28 Correct 2 ms 340 KB Output is correct
29 Correct 16 ms 1152 KB Output is correct
30 Correct 32 ms 2128 KB Output is correct
31 Correct 48 ms 3056 KB Output is correct
32 Correct 49 ms 2932 KB Output is correct
33 Correct 54 ms 3044 KB Output is correct
34 Correct 57 ms 2940 KB Output is correct
35 Correct 49 ms 2904 KB Output is correct
36 Correct 53 ms 2892 KB Output is correct
37 Correct 50 ms 2932 KB Output is correct
38 Correct 47 ms 3204 KB Output is correct
39 Correct 48 ms 2936 KB Output is correct
40 Correct 50 ms 2976 KB Output is correct
41 Correct 1 ms 340 KB Output is correct
42 Correct 1 ms 340 KB Output is correct
43 Correct 0 ms 340 KB Output is correct
44 Correct 2 ms 340 KB Output is correct
45 Correct 1 ms 340 KB Output is correct
46 Correct 1 ms 340 KB Output is correct
47 Correct 7 ms 724 KB Output is correct
48 Correct 4 ms 724 KB Output is correct
49 Correct 10 ms 1108 KB Output is correct
50 Correct 23 ms 1876 KB Output is correct
51 Correct 41 ms 2720 KB Output is correct
52 Correct 39 ms 2684 KB Output is correct
53 Correct 40 ms 2672 KB Output is correct
54 Correct 40 ms 2708 KB Output is correct
55 Correct 39 ms 2644 KB Output is correct
56 Correct 38 ms 2696 KB Output is correct
57 Correct 39 ms 2804 KB Output is correct
58 Correct 39 ms 2692 KB Output is correct
59 Correct 39 ms 2708 KB Output is correct
60 Correct 39 ms 2716 KB Output is correct
61 Correct 39 ms 2716 KB Output is correct
62 Correct 38 ms 2712 KB Output is correct
63 Correct 39 ms 2708 KB Output is correct
64 Correct 40 ms 2716 KB Output is correct
65 Correct 38 ms 2672 KB Output is correct
66 Correct 38 ms 2644 KB Output is correct
67 Correct 38 ms 2720 KB Output is correct
68 Correct 39 ms 2676 KB Output is correct
69 Correct 40 ms 2692 KB Output is correct
70 Correct 39 ms 2644 KB Output is correct
71 Correct 4 ms 724 KB Output is correct
72 Correct 4 ms 724 KB Output is correct
73 Correct 4 ms 724 KB Output is correct
74 Correct 5 ms 740 KB Output is correct
75 Correct 4 ms 724 KB Output is correct
76 Correct 8 ms 1108 KB Output is correct
77 Correct 10 ms 1112 KB Output is correct
78 Correct 8 ms 1108 KB Output is correct
79 Correct 10 ms 1108 KB Output is correct
80 Correct 8 ms 1108 KB Output is correct
81 Correct 15 ms 1876 KB Output is correct
82 Correct 15 ms 1892 KB Output is correct
83 Correct 15 ms 1896 KB Output is correct
84 Correct 15 ms 1896 KB Output is correct
85 Correct 15 ms 1896 KB Output is correct
86 Correct 16 ms 2020 KB Output is correct
87 Correct 17 ms 2024 KB Output is correct
88 Correct 16 ms 2060 KB Output is correct
89 Correct 16 ms 2056 KB Output is correct
90 Correct 19 ms 2048 KB Output is correct
91 Correct 25 ms 3444 KB Output is correct
92 Correct 25 ms 3412 KB Output is correct
93 Correct 26 ms 3436 KB Output is correct
94 Correct 25 ms 3440 KB Output is correct
95 Correct 26 ms 3436 KB Output is correct
96 Correct 30 ms 4204 KB Output is correct
97 Correct 33 ms 4224 KB Output is correct
98 Correct 30 ms 4208 KB Output is correct
99 Correct 29 ms 4148 KB Output is correct
100 Correct 29 ms 4204 KB Output is correct
101 Correct 29 ms 4212 KB Output is correct
102 Correct 32 ms 4204 KB Output is correct
103 Correct 30 ms 4208 KB Output is correct
104 Correct 29 ms 4204 KB Output is correct
105 Correct 29 ms 4180 KB Output is correct
106 Correct 29 ms 4588 KB Output is correct
107 Correct 31 ms 4564 KB Output is correct
108 Correct 30 ms 4556 KB Output is correct
109 Correct 32 ms 4584 KB Output is correct
110 Correct 35 ms 4588 KB Output is correct
111 Correct 32 ms 4592 KB Output is correct
112 Correct 29 ms 4576 KB Output is correct
113 Correct 29 ms 4600 KB Output is correct
114 Correct 32 ms 4632 KB Output is correct
115 Correct 32 ms 4584 KB Output is correct
116 Correct 376 ms 2348 KB Output is correct
117 Correct 321 ms 2356 KB Output is correct
118 Correct 1881 ms 2812 KB Output is correct
119 Correct 854 ms 2820 KB Output is correct
120 Correct 506 ms 2816 KB Output is correct
121 Correct 1507 ms 3224 KB Output is correct
122 Correct 870 ms 3300 KB Output is correct
123 Correct 5004 ms 4148 KB Output is correct
124 Correct 1477 ms 4208 KB Output is correct
125 Correct 1214 ms 4176 KB Output is correct
126 Execution timed out 7024 ms 4216 KB Time limit exceeded
127 Halted 0 ms 0 KB -