Submission #526209

# Submission time Handle Problem Language Result Execution time Memory
526209 2022-02-13T23:02:36 Z Plurm Diversity (CEOI21_diversity) C++11
64 / 100
7000 ms 17084 KB
#pragma GCC optimize("O3")
#include <bits/stdc++.h>
using namespace std;

template <typename T>
class FenwickTree{
public:
  T* FT;
  int n;
  bool negmode;
  FenwickTree(int sz = 1 << 19, bool negindex = true){
    n = sz+505;
    FT = new T[n];
    fill(FT, FT+n, (T)0);
    negmode = negindex;
  }
  void add(int idx, T amt){
    if(negmode) idx += n/2;
    while(idx < n){
      FT[idx] += amt;
      idx += idx & -idx;
    }
  }
  T sum(int idx){
    if(negmode) idx += n/2;
    T ret = (T)0;
    while(idx > 0){
      ret += FT[idx];
      idx -= idx & -idx;
    }
    return ret;
  }
  int lower_bound(const int v){
    if(v > FT[1]) return 0;
    int cur = 1 << 18;
    int part = FT[cur];
    for(int i = 17; i >= 0; i--){
      if(part >= v){
        cur += 1 << i;
        part += FT[cur];
      }else{
        part -= FT[cur];
        cur -= 1 << i;
        part += FT[cur];
      }
    }
    if(part < v) return cur-1;
    return cur;
  }
  int upper_bound(const int v){
    return lower_bound(v+1);
  }
};

FenwickTree<int> FT1; // Ri
FenwickTree<long long> FT2; // Ri * i
int cnt[300005];
int a[300005];
// abstract deque
// fenwick indexing:
// [...] [-3] [-2] [-1] [0] [1] [2] [...]
// deque indexing:
// [...] [6] [4] [2] [1] [3] [5] [...]
// invariant:
// dq[-i] <= dq[i] for all positive i
// dq[-i] >= dq[i+1] for all positive i

int dq2fw(int idx){
  return idx/2 * (idx % 2 ? 1 : -1);
}

FenwickTree<int> dq(300000, false); // using deque indexing
long long deque_add(const int x){
  int idx = dq.upper_bound(x)+1;
  dq.add(idx, 1);
  dq.add(idx+1, -1);
  int b = dq2fw(idx);
  FT1.add(b, 1);
  FT2.add(b, b);
  return FT2.FT[1 << 19] - FT2.sum(b) - 1ll * (b-1) * (FT1.FT[1 << 19] - FT1.sum(b))
  + 1ll * (b+1) * FT1.sum(b-1) - FT2.sum(b-1) + x+1;
}
long long deque_remove(const int x){
  int idx = dq.lower_bound(x);
  dq.add(idx, -1);
  dq.add(idx+1, 1);
  int b = dq2fw(idx);
  FT1.add(b, -1);
  FT2.add(b, -b);
  return FT2.FT[1 << 19] - FT2.sum(b) - 1ll * (b-1) * (FT1.FT[1 << 19] - FT1.sum(b))
  + 1ll * (b+1) * FT1.sum(b-1) - FT2.sum(b-1) + x;
}

vector<tuple<int,int,int>> qbckt[300005]; // (L, R, Q)
long long answer[50005];
int qcnt[2048];

int main(){
	int n,q;
	scanf("%d%d",&n,&q);
	for(int i = 1; i <= n; i++){
		scanf("%d",a+i);
	}
  int SQRT = 2000;
  vector<pair<int,int>> rawq;
  for(int i = 0; i < q; i++){
    int l, r;
    scanf("%d%d",&l,&r);
    rawq.emplace_back(l,r);
    qcnt[l/SQRT]++;
  }
  for(int i = 0; i <= n/SQRT+2; i++){
    qbckt[i].reserve(qcnt[i]);
  }
  for(int i = 0; i < q; i++){
    int l, r;
    tie(l, r) = rawq[i];
    qbckt[l / SQRT].emplace_back(l, r, i);
  }
  int lptr = 1;
  int rptr = 0;
  long long ans = 0ll;
  for(int i = 0; i <= n/SQRT+2; i++){
    lptr = 1;
    rptr = 0;
    ans = 0ll;
    memset(FT1.FT, 0, 4*FT1.n);
    memset(FT2.FT, 0, 4*FT2.n);
    memset(dq.FT, 0, 4*dq.n);
    sort(qbckt[i].begin(), qbckt[i].end(), [](tuple<int,int,int> x, tuple<int,int,int> y){
      return get<1>(x) < get<1>(y);
    });
    // Below goes declaratively.
    for(auto qr : qbckt[i]){
      int l, r, qnum;
      tie(l, r, qnum) = qr;
      while(rptr < r){
        rptr++;
        ans += deque_add(cnt[a[rptr]]);
        cnt[a[rptr]]++;
      }
      while(lptr > l){
        lptr--;
        ans += deque_add(cnt[a[lptr]]);
        cnt[a[lptr]]++;
      }
      while(lptr < l){
        ans -= deque_remove(cnt[a[lptr]]);
        cnt[a[lptr]]--;
        lptr++;
      }
      while(rptr > r){
        ans -= deque_remove(cnt[a[rptr]]);
        cnt[a[rptr]]--;
        rptr--;
      }
      answer[qnum] = ans;
    }
  }
  for(int i = 0; i < q; i++){
    printf("%lld\n", answer[i]);
  }
	return 0;
}

Compilation message

diversity.cpp: In function 'int main()':
diversity.cpp:100:7: warning: ignoring return value of 'int scanf(const char*, ...)' declared with attribute 'warn_unused_result' [-Wunused-result]
  100 |  scanf("%d%d",&n,&q);
      |  ~~~~~^~~~~~~~~~~~~~
diversity.cpp:102:8: warning: ignoring return value of 'int scanf(const char*, ...)' declared with attribute 'warn_unused_result' [-Wunused-result]
  102 |   scanf("%d",a+i);
      |   ~~~~~^~~~~~~~~~
diversity.cpp:108:10: warning: ignoring return value of 'int scanf(const char*, ...)' declared with attribute 'warn_unused_result' [-Wunused-result]
  108 |     scanf("%d%d",&l,&r);
      |     ~~~~~^~~~~~~~~~~~~~
# Verdict Execution time Memory Grader output
1 Correct 8 ms 14712 KB Output is correct
2 Correct 9 ms 14704 KB Output is correct
3 Correct 8 ms 14708 KB Output is correct
4 Correct 8 ms 14712 KB Output is correct
5 Correct 8 ms 14708 KB Output is correct
6 Correct 8 ms 14668 KB Output is correct
7 Correct 8 ms 14716 KB Output is correct
8 Correct 8 ms 14668 KB Output is correct
9 Correct 8 ms 14668 KB Output is correct
10 Correct 10 ms 14660 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 10 ms 14668 KB Output is correct
2 Correct 12 ms 14716 KB Output is correct
3 Correct 16 ms 14744 KB Output is correct
4 Correct 44 ms 15052 KB Output is correct
5 Correct 82 ms 15468 KB Output is correct
6 Correct 109 ms 15752 KB Output is correct
7 Correct 121 ms 15856 KB Output is correct
8 Correct 146 ms 15804 KB Output is correct
9 Correct 111 ms 15852 KB Output is correct
10 Correct 114 ms 15848 KB Output is correct
11 Correct 111 ms 15852 KB Output is correct
12 Correct 109 ms 15816 KB Output is correct
13 Correct 111 ms 15812 KB Output is correct
14 Correct 113 ms 15852 KB Output is correct
15 Correct 113 ms 15960 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 10 ms 14668 KB Output is correct
2 Correct 12 ms 14716 KB Output is correct
3 Correct 16 ms 14744 KB Output is correct
4 Correct 44 ms 15052 KB Output is correct
5 Correct 82 ms 15468 KB Output is correct
6 Correct 109 ms 15752 KB Output is correct
7 Correct 121 ms 15856 KB Output is correct
8 Correct 146 ms 15804 KB Output is correct
9 Correct 111 ms 15852 KB Output is correct
10 Correct 114 ms 15848 KB Output is correct
11 Correct 111 ms 15852 KB Output is correct
12 Correct 109 ms 15816 KB Output is correct
13 Correct 111 ms 15812 KB Output is correct
14 Correct 113 ms 15852 KB Output is correct
15 Correct 113 ms 15960 KB Output is correct
16 Correct 8 ms 14668 KB Output is correct
17 Correct 8 ms 14668 KB Output is correct
18 Correct 14 ms 14668 KB Output is correct
19 Correct 49 ms 15080 KB Output is correct
20 Correct 95 ms 15472 KB Output is correct
21 Correct 119 ms 15852 KB Output is correct
22 Correct 116 ms 15864 KB Output is correct
23 Correct 116 ms 15748 KB Output is correct
24 Correct 137 ms 15848 KB Output is correct
25 Correct 128 ms 15812 KB Output is correct
26 Correct 115 ms 15852 KB Output is correct
27 Correct 118 ms 15940 KB Output is correct
28 Correct 131 ms 15804 KB Output is correct
29 Correct 110 ms 15856 KB Output is correct
30 Correct 125 ms 15852 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 10 ms 14668 KB Output is correct
2 Correct 12 ms 14716 KB Output is correct
3 Correct 16 ms 14744 KB Output is correct
4 Correct 44 ms 15052 KB Output is correct
5 Correct 82 ms 15468 KB Output is correct
6 Correct 109 ms 15752 KB Output is correct
7 Correct 121 ms 15856 KB Output is correct
8 Correct 146 ms 15804 KB Output is correct
9 Correct 111 ms 15852 KB Output is correct
10 Correct 114 ms 15848 KB Output is correct
11 Correct 111 ms 15852 KB Output is correct
12 Correct 109 ms 15816 KB Output is correct
13 Correct 111 ms 15812 KB Output is correct
14 Correct 113 ms 15852 KB Output is correct
15 Correct 113 ms 15960 KB Output is correct
16 Correct 8 ms 14668 KB Output is correct
17 Correct 8 ms 14668 KB Output is correct
18 Correct 14 ms 14668 KB Output is correct
19 Correct 49 ms 15080 KB Output is correct
20 Correct 95 ms 15472 KB Output is correct
21 Correct 119 ms 15852 KB Output is correct
22 Correct 116 ms 15864 KB Output is correct
23 Correct 116 ms 15748 KB Output is correct
24 Correct 137 ms 15848 KB Output is correct
25 Correct 128 ms 15812 KB Output is correct
26 Correct 115 ms 15852 KB Output is correct
27 Correct 118 ms 15940 KB Output is correct
28 Correct 131 ms 15804 KB Output is correct
29 Correct 110 ms 15856 KB Output is correct
30 Correct 125 ms 15852 KB Output is correct
31 Correct 11 ms 14668 KB Output is correct
32 Correct 9 ms 14668 KB Output is correct
33 Correct 9 ms 14668 KB Output is correct
34 Correct 15 ms 14652 KB Output is correct
35 Correct 12 ms 14668 KB Output is correct
36 Correct 13 ms 14668 KB Output is correct
37 Correct 27 ms 14896 KB Output is correct
38 Correct 26 ms 14796 KB Output is correct
39 Correct 45 ms 15052 KB Output is correct
40 Correct 80 ms 15472 KB Output is correct
41 Correct 121 ms 15852 KB Output is correct
42 Correct 140 ms 15864 KB Output is correct
43 Correct 117 ms 15856 KB Output is correct
44 Correct 114 ms 15864 KB Output is correct
45 Correct 119 ms 15876 KB Output is correct
46 Correct 119 ms 15828 KB Output is correct
47 Correct 149 ms 15796 KB Output is correct
48 Correct 126 ms 15856 KB Output is correct
49 Correct 118 ms 15828 KB Output is correct
50 Correct 114 ms 15864 KB Output is correct
51 Correct 122 ms 15984 KB Output is correct
52 Correct 129 ms 15860 KB Output is correct
53 Correct 119 ms 15860 KB Output is correct
54 Correct 119 ms 15808 KB Output is correct
55 Correct 121 ms 15852 KB Output is correct
56 Correct 149 ms 15900 KB Output is correct
57 Correct 123 ms 15872 KB Output is correct
58 Correct 121 ms 15820 KB Output is correct
59 Correct 140 ms 15868 KB Output is correct
60 Correct 163 ms 15856 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 8 ms 14712 KB Output is correct
2 Correct 9 ms 14704 KB Output is correct
3 Correct 8 ms 14708 KB Output is correct
4 Correct 8 ms 14712 KB Output is correct
5 Correct 8 ms 14708 KB Output is correct
6 Correct 8 ms 14668 KB Output is correct
7 Correct 8 ms 14716 KB Output is correct
8 Correct 8 ms 14668 KB Output is correct
9 Correct 8 ms 14668 KB Output is correct
10 Correct 10 ms 14660 KB Output is correct
11 Correct 10 ms 14668 KB Output is correct
12 Correct 12 ms 14716 KB Output is correct
13 Correct 16 ms 14744 KB Output is correct
14 Correct 44 ms 15052 KB Output is correct
15 Correct 82 ms 15468 KB Output is correct
16 Correct 109 ms 15752 KB Output is correct
17 Correct 121 ms 15856 KB Output is correct
18 Correct 146 ms 15804 KB Output is correct
19 Correct 111 ms 15852 KB Output is correct
20 Correct 114 ms 15848 KB Output is correct
21 Correct 111 ms 15852 KB Output is correct
22 Correct 109 ms 15816 KB Output is correct
23 Correct 111 ms 15812 KB Output is correct
24 Correct 113 ms 15852 KB Output is correct
25 Correct 113 ms 15960 KB Output is correct
26 Correct 8 ms 14668 KB Output is correct
27 Correct 8 ms 14668 KB Output is correct
28 Correct 14 ms 14668 KB Output is correct
29 Correct 49 ms 15080 KB Output is correct
30 Correct 95 ms 15472 KB Output is correct
31 Correct 119 ms 15852 KB Output is correct
32 Correct 116 ms 15864 KB Output is correct
33 Correct 116 ms 15748 KB Output is correct
34 Correct 137 ms 15848 KB Output is correct
35 Correct 128 ms 15812 KB Output is correct
36 Correct 115 ms 15852 KB Output is correct
37 Correct 118 ms 15940 KB Output is correct
38 Correct 131 ms 15804 KB Output is correct
39 Correct 110 ms 15856 KB Output is correct
40 Correct 125 ms 15852 KB Output is correct
41 Correct 11 ms 14668 KB Output is correct
42 Correct 9 ms 14668 KB Output is correct
43 Correct 9 ms 14668 KB Output is correct
44 Correct 15 ms 14652 KB Output is correct
45 Correct 12 ms 14668 KB Output is correct
46 Correct 13 ms 14668 KB Output is correct
47 Correct 27 ms 14896 KB Output is correct
48 Correct 26 ms 14796 KB Output is correct
49 Correct 45 ms 15052 KB Output is correct
50 Correct 80 ms 15472 KB Output is correct
51 Correct 121 ms 15852 KB Output is correct
52 Correct 140 ms 15864 KB Output is correct
53 Correct 117 ms 15856 KB Output is correct
54 Correct 114 ms 15864 KB Output is correct
55 Correct 119 ms 15876 KB Output is correct
56 Correct 119 ms 15828 KB Output is correct
57 Correct 149 ms 15796 KB Output is correct
58 Correct 126 ms 15856 KB Output is correct
59 Correct 118 ms 15828 KB Output is correct
60 Correct 114 ms 15864 KB Output is correct
61 Correct 122 ms 15984 KB Output is correct
62 Correct 129 ms 15860 KB Output is correct
63 Correct 119 ms 15860 KB Output is correct
64 Correct 119 ms 15808 KB Output is correct
65 Correct 121 ms 15852 KB Output is correct
66 Correct 149 ms 15900 KB Output is correct
67 Correct 123 ms 15872 KB Output is correct
68 Correct 121 ms 15820 KB Output is correct
69 Correct 140 ms 15868 KB Output is correct
70 Correct 163 ms 15856 KB Output is correct
71 Correct 29 ms 14872 KB Output is correct
72 Correct 26 ms 14816 KB Output is correct
73 Correct 26 ms 14796 KB Output is correct
74 Correct 29 ms 14832 KB Output is correct
75 Correct 28 ms 14864 KB Output is correct
76 Correct 45 ms 15100 KB Output is correct
77 Correct 46 ms 15116 KB Output is correct
78 Correct 46 ms 15096 KB Output is correct
79 Correct 61 ms 15104 KB Output is correct
80 Correct 49 ms 15016 KB Output is correct
81 Correct 86 ms 15516 KB Output is correct
82 Correct 86 ms 15436 KB Output is correct
83 Correct 86 ms 15508 KB Output is correct
84 Correct 86 ms 15516 KB Output is correct
85 Correct 98 ms 15436 KB Output is correct
86 Correct 85 ms 15484 KB Output is correct
87 Correct 87 ms 15564 KB Output is correct
88 Correct 87 ms 15476 KB Output is correct
89 Correct 104 ms 15548 KB Output is correct
90 Correct 110 ms 15556 KB Output is correct
91 Correct 121 ms 16244 KB Output is correct
92 Correct 122 ms 16196 KB Output is correct
93 Correct 127 ms 16204 KB Output is correct
94 Correct 125 ms 16248 KB Output is correct
95 Correct 145 ms 16248 KB Output is correct
96 Correct 150 ms 16568 KB Output is correct
97 Correct 127 ms 16652 KB Output is correct
98 Correct 126 ms 16640 KB Output is correct
99 Correct 132 ms 16636 KB Output is correct
100 Correct 124 ms 16584 KB Output is correct
101 Correct 119 ms 16580 KB Output is correct
102 Correct 121 ms 16648 KB Output is correct
103 Correct 129 ms 16644 KB Output is correct
104 Correct 151 ms 16768 KB Output is correct
105 Correct 146 ms 16640 KB Output is correct
106 Correct 117 ms 16840 KB Output is correct
107 Correct 115 ms 16836 KB Output is correct
108 Correct 121 ms 16848 KB Output is correct
109 Correct 133 ms 16784 KB Output is correct
110 Correct 125 ms 16880 KB Output is correct
111 Correct 117 ms 16844 KB Output is correct
112 Correct 123 ms 17084 KB Output is correct
113 Correct 125 ms 16764 KB Output is correct
114 Correct 123 ms 16828 KB Output is correct
115 Correct 123 ms 16832 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 8 ms 14712 KB Output is correct
2 Correct 9 ms 14704 KB Output is correct
3 Correct 8 ms 14708 KB Output is correct
4 Correct 8 ms 14712 KB Output is correct
5 Correct 8 ms 14708 KB Output is correct
6 Correct 8 ms 14668 KB Output is correct
7 Correct 8 ms 14716 KB Output is correct
8 Correct 8 ms 14668 KB Output is correct
9 Correct 8 ms 14668 KB Output is correct
10 Correct 10 ms 14660 KB Output is correct
11 Correct 10 ms 14668 KB Output is correct
12 Correct 12 ms 14716 KB Output is correct
13 Correct 16 ms 14744 KB Output is correct
14 Correct 44 ms 15052 KB Output is correct
15 Correct 82 ms 15468 KB Output is correct
16 Correct 109 ms 15752 KB Output is correct
17 Correct 121 ms 15856 KB Output is correct
18 Correct 146 ms 15804 KB Output is correct
19 Correct 111 ms 15852 KB Output is correct
20 Correct 114 ms 15848 KB Output is correct
21 Correct 111 ms 15852 KB Output is correct
22 Correct 109 ms 15816 KB Output is correct
23 Correct 111 ms 15812 KB Output is correct
24 Correct 113 ms 15852 KB Output is correct
25 Correct 113 ms 15960 KB Output is correct
26 Correct 8 ms 14668 KB Output is correct
27 Correct 8 ms 14668 KB Output is correct
28 Correct 14 ms 14668 KB Output is correct
29 Correct 49 ms 15080 KB Output is correct
30 Correct 95 ms 15472 KB Output is correct
31 Correct 119 ms 15852 KB Output is correct
32 Correct 116 ms 15864 KB Output is correct
33 Correct 116 ms 15748 KB Output is correct
34 Correct 137 ms 15848 KB Output is correct
35 Correct 128 ms 15812 KB Output is correct
36 Correct 115 ms 15852 KB Output is correct
37 Correct 118 ms 15940 KB Output is correct
38 Correct 131 ms 15804 KB Output is correct
39 Correct 110 ms 15856 KB Output is correct
40 Correct 125 ms 15852 KB Output is correct
41 Correct 11 ms 14668 KB Output is correct
42 Correct 9 ms 14668 KB Output is correct
43 Correct 9 ms 14668 KB Output is correct
44 Correct 15 ms 14652 KB Output is correct
45 Correct 12 ms 14668 KB Output is correct
46 Correct 13 ms 14668 KB Output is correct
47 Correct 27 ms 14896 KB Output is correct
48 Correct 26 ms 14796 KB Output is correct
49 Correct 45 ms 15052 KB Output is correct
50 Correct 80 ms 15472 KB Output is correct
51 Correct 121 ms 15852 KB Output is correct
52 Correct 140 ms 15864 KB Output is correct
53 Correct 117 ms 15856 KB Output is correct
54 Correct 114 ms 15864 KB Output is correct
55 Correct 119 ms 15876 KB Output is correct
56 Correct 119 ms 15828 KB Output is correct
57 Correct 149 ms 15796 KB Output is correct
58 Correct 126 ms 15856 KB Output is correct
59 Correct 118 ms 15828 KB Output is correct
60 Correct 114 ms 15864 KB Output is correct
61 Correct 122 ms 15984 KB Output is correct
62 Correct 129 ms 15860 KB Output is correct
63 Correct 119 ms 15860 KB Output is correct
64 Correct 119 ms 15808 KB Output is correct
65 Correct 121 ms 15852 KB Output is correct
66 Correct 149 ms 15900 KB Output is correct
67 Correct 123 ms 15872 KB Output is correct
68 Correct 121 ms 15820 KB Output is correct
69 Correct 140 ms 15868 KB Output is correct
70 Correct 163 ms 15856 KB Output is correct
71 Correct 29 ms 14872 KB Output is correct
72 Correct 26 ms 14816 KB Output is correct
73 Correct 26 ms 14796 KB Output is correct
74 Correct 29 ms 14832 KB Output is correct
75 Correct 28 ms 14864 KB Output is correct
76 Correct 45 ms 15100 KB Output is correct
77 Correct 46 ms 15116 KB Output is correct
78 Correct 46 ms 15096 KB Output is correct
79 Correct 61 ms 15104 KB Output is correct
80 Correct 49 ms 15016 KB Output is correct
81 Correct 86 ms 15516 KB Output is correct
82 Correct 86 ms 15436 KB Output is correct
83 Correct 86 ms 15508 KB Output is correct
84 Correct 86 ms 15516 KB Output is correct
85 Correct 98 ms 15436 KB Output is correct
86 Correct 85 ms 15484 KB Output is correct
87 Correct 87 ms 15564 KB Output is correct
88 Correct 87 ms 15476 KB Output is correct
89 Correct 104 ms 15548 KB Output is correct
90 Correct 110 ms 15556 KB Output is correct
91 Correct 121 ms 16244 KB Output is correct
92 Correct 122 ms 16196 KB Output is correct
93 Correct 127 ms 16204 KB Output is correct
94 Correct 125 ms 16248 KB Output is correct
95 Correct 145 ms 16248 KB Output is correct
96 Correct 150 ms 16568 KB Output is correct
97 Correct 127 ms 16652 KB Output is correct
98 Correct 126 ms 16640 KB Output is correct
99 Correct 132 ms 16636 KB Output is correct
100 Correct 124 ms 16584 KB Output is correct
101 Correct 119 ms 16580 KB Output is correct
102 Correct 121 ms 16648 KB Output is correct
103 Correct 129 ms 16644 KB Output is correct
104 Correct 151 ms 16768 KB Output is correct
105 Correct 146 ms 16640 KB Output is correct
106 Correct 117 ms 16840 KB Output is correct
107 Correct 115 ms 16836 KB Output is correct
108 Correct 121 ms 16848 KB Output is correct
109 Correct 133 ms 16784 KB Output is correct
110 Correct 125 ms 16880 KB Output is correct
111 Correct 117 ms 16844 KB Output is correct
112 Correct 123 ms 17084 KB Output is correct
113 Correct 125 ms 16764 KB Output is correct
114 Correct 123 ms 16828 KB Output is correct
115 Correct 123 ms 16832 KB Output is correct
116 Execution timed out 7092 ms 16068 KB Time limit exceeded
117 Halted 0 ms 0 KB -