Submission #526210

# Submission time Handle Problem Language Result Execution time Memory
526210 2022-02-13T23:04:26 Z Plurm Diversity (CEOI21_diversity) C++11
64 / 100
7000 ms 16964 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 = 700;
  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 14668 KB Output is correct
2 Correct 8 ms 14656 KB Output is correct
3 Correct 8 ms 14692 KB Output is correct
4 Correct 8 ms 14668 KB Output is correct
5 Correct 8 ms 14668 KB Output is correct
6 Correct 7 ms 14676 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 9 ms 14660 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 8 ms 14668 KB Output is correct
2 Correct 10 ms 14668 KB Output is correct
3 Correct 13 ms 14744 KB Output is correct
4 Correct 61 ms 15088 KB Output is correct
5 Correct 104 ms 15472 KB Output is correct
6 Correct 154 ms 15772 KB Output is correct
7 Correct 165 ms 15752 KB Output is correct
8 Correct 151 ms 15856 KB Output is correct
9 Correct 149 ms 15852 KB Output is correct
10 Correct 148 ms 15820 KB Output is correct
11 Correct 152 ms 15852 KB Output is correct
12 Correct 154 ms 15804 KB Output is correct
13 Correct 185 ms 15852 KB Output is correct
14 Correct 173 ms 15848 KB Output is correct
15 Correct 175 ms 15820 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 8 ms 14668 KB Output is correct
2 Correct 10 ms 14668 KB Output is correct
3 Correct 13 ms 14744 KB Output is correct
4 Correct 61 ms 15088 KB Output is correct
5 Correct 104 ms 15472 KB Output is correct
6 Correct 154 ms 15772 KB Output is correct
7 Correct 165 ms 15752 KB Output is correct
8 Correct 151 ms 15856 KB Output is correct
9 Correct 149 ms 15852 KB Output is correct
10 Correct 148 ms 15820 KB Output is correct
11 Correct 152 ms 15852 KB Output is correct
12 Correct 154 ms 15804 KB Output is correct
13 Correct 185 ms 15852 KB Output is correct
14 Correct 173 ms 15848 KB Output is correct
15 Correct 175 ms 15820 KB Output is correct
16 Correct 9 ms 14636 KB Output is correct
17 Correct 8 ms 14668 KB Output is correct
18 Correct 13 ms 14660 KB Output is correct
19 Correct 60 ms 15084 KB Output is correct
20 Correct 129 ms 15476 KB Output is correct
21 Correct 154 ms 15844 KB Output is correct
22 Correct 198 ms 15856 KB Output is correct
23 Correct 170 ms 15860 KB Output is correct
24 Correct 198 ms 15852 KB Output is correct
25 Correct 152 ms 15856 KB Output is correct
26 Correct 174 ms 15824 KB Output is correct
27 Correct 149 ms 15856 KB Output is correct
28 Correct 161 ms 15820 KB Output is correct
29 Correct 158 ms 15856 KB Output is correct
30 Correct 158 ms 15848 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 8 ms 14668 KB Output is correct
2 Correct 10 ms 14668 KB Output is correct
3 Correct 13 ms 14744 KB Output is correct
4 Correct 61 ms 15088 KB Output is correct
5 Correct 104 ms 15472 KB Output is correct
6 Correct 154 ms 15772 KB Output is correct
7 Correct 165 ms 15752 KB Output is correct
8 Correct 151 ms 15856 KB Output is correct
9 Correct 149 ms 15852 KB Output is correct
10 Correct 148 ms 15820 KB Output is correct
11 Correct 152 ms 15852 KB Output is correct
12 Correct 154 ms 15804 KB Output is correct
13 Correct 185 ms 15852 KB Output is correct
14 Correct 173 ms 15848 KB Output is correct
15 Correct 175 ms 15820 KB Output is correct
16 Correct 9 ms 14636 KB Output is correct
17 Correct 8 ms 14668 KB Output is correct
18 Correct 13 ms 14660 KB Output is correct
19 Correct 60 ms 15084 KB Output is correct
20 Correct 129 ms 15476 KB Output is correct
21 Correct 154 ms 15844 KB Output is correct
22 Correct 198 ms 15856 KB Output is correct
23 Correct 170 ms 15860 KB Output is correct
24 Correct 198 ms 15852 KB Output is correct
25 Correct 152 ms 15856 KB Output is correct
26 Correct 174 ms 15824 KB Output is correct
27 Correct 149 ms 15856 KB Output is correct
28 Correct 161 ms 15820 KB Output is correct
29 Correct 158 ms 15856 KB Output is correct
30 Correct 158 ms 15848 KB Output is correct
31 Correct 8 ms 14668 KB Output is correct
32 Correct 8 ms 14668 KB Output is correct
33 Correct 8 ms 14668 KB Output is correct
34 Correct 16 ms 14756 KB Output is correct
35 Correct 13 ms 14796 KB Output is correct
36 Correct 16 ms 14840 KB Output is correct
37 Correct 34 ms 14796 KB Output is correct
38 Correct 32 ms 14796 KB Output is correct
39 Correct 56 ms 15052 KB Output is correct
40 Correct 101 ms 15436 KB Output is correct
41 Correct 159 ms 15980 KB Output is correct
42 Correct 154 ms 15944 KB Output is correct
43 Correct 149 ms 15856 KB Output is correct
44 Correct 155 ms 15776 KB Output is correct
45 Correct 164 ms 15916 KB Output is correct
46 Correct 161 ms 15860 KB Output is correct
47 Correct 148 ms 15860 KB Output is correct
48 Correct 160 ms 15860 KB Output is correct
49 Correct 157 ms 15912 KB Output is correct
50 Correct 155 ms 15856 KB Output is correct
51 Correct 175 ms 15860 KB Output is correct
52 Correct 153 ms 15872 KB Output is correct
53 Correct 154 ms 15856 KB Output is correct
54 Correct 172 ms 15856 KB Output is correct
55 Correct 168 ms 15816 KB Output is correct
56 Correct 158 ms 15860 KB Output is correct
57 Correct 164 ms 15860 KB Output is correct
58 Correct 182 ms 15820 KB Output is correct
59 Correct 184 ms 15820 KB Output is correct
60 Correct 156 ms 15940 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 8 ms 14668 KB Output is correct
2 Correct 8 ms 14656 KB Output is correct
3 Correct 8 ms 14692 KB Output is correct
4 Correct 8 ms 14668 KB Output is correct
5 Correct 8 ms 14668 KB Output is correct
6 Correct 7 ms 14676 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 9 ms 14660 KB Output is correct
11 Correct 8 ms 14668 KB Output is correct
12 Correct 10 ms 14668 KB Output is correct
13 Correct 13 ms 14744 KB Output is correct
14 Correct 61 ms 15088 KB Output is correct
15 Correct 104 ms 15472 KB Output is correct
16 Correct 154 ms 15772 KB Output is correct
17 Correct 165 ms 15752 KB Output is correct
18 Correct 151 ms 15856 KB Output is correct
19 Correct 149 ms 15852 KB Output is correct
20 Correct 148 ms 15820 KB Output is correct
21 Correct 152 ms 15852 KB Output is correct
22 Correct 154 ms 15804 KB Output is correct
23 Correct 185 ms 15852 KB Output is correct
24 Correct 173 ms 15848 KB Output is correct
25 Correct 175 ms 15820 KB Output is correct
26 Correct 9 ms 14636 KB Output is correct
27 Correct 8 ms 14668 KB Output is correct
28 Correct 13 ms 14660 KB Output is correct
29 Correct 60 ms 15084 KB Output is correct
30 Correct 129 ms 15476 KB Output is correct
31 Correct 154 ms 15844 KB Output is correct
32 Correct 198 ms 15856 KB Output is correct
33 Correct 170 ms 15860 KB Output is correct
34 Correct 198 ms 15852 KB Output is correct
35 Correct 152 ms 15856 KB Output is correct
36 Correct 174 ms 15824 KB Output is correct
37 Correct 149 ms 15856 KB Output is correct
38 Correct 161 ms 15820 KB Output is correct
39 Correct 158 ms 15856 KB Output is correct
40 Correct 158 ms 15848 KB Output is correct
41 Correct 8 ms 14668 KB Output is correct
42 Correct 8 ms 14668 KB Output is correct
43 Correct 8 ms 14668 KB Output is correct
44 Correct 16 ms 14756 KB Output is correct
45 Correct 13 ms 14796 KB Output is correct
46 Correct 16 ms 14840 KB Output is correct
47 Correct 34 ms 14796 KB Output is correct
48 Correct 32 ms 14796 KB Output is correct
49 Correct 56 ms 15052 KB Output is correct
50 Correct 101 ms 15436 KB Output is correct
51 Correct 159 ms 15980 KB Output is correct
52 Correct 154 ms 15944 KB Output is correct
53 Correct 149 ms 15856 KB Output is correct
54 Correct 155 ms 15776 KB Output is correct
55 Correct 164 ms 15916 KB Output is correct
56 Correct 161 ms 15860 KB Output is correct
57 Correct 148 ms 15860 KB Output is correct
58 Correct 160 ms 15860 KB Output is correct
59 Correct 157 ms 15912 KB Output is correct
60 Correct 155 ms 15856 KB Output is correct
61 Correct 175 ms 15860 KB Output is correct
62 Correct 153 ms 15872 KB Output is correct
63 Correct 154 ms 15856 KB Output is correct
64 Correct 172 ms 15856 KB Output is correct
65 Correct 168 ms 15816 KB Output is correct
66 Correct 158 ms 15860 KB Output is correct
67 Correct 164 ms 15860 KB Output is correct
68 Correct 182 ms 15820 KB Output is correct
69 Correct 184 ms 15820 KB Output is correct
70 Correct 156 ms 15940 KB Output is correct
71 Correct 33 ms 14912 KB Output is correct
72 Correct 34 ms 14900 KB Output is correct
73 Correct 33 ms 14912 KB Output is correct
74 Correct 34 ms 14796 KB Output is correct
75 Correct 36 ms 14896 KB Output is correct
76 Correct 83 ms 15096 KB Output is correct
77 Correct 70 ms 15100 KB Output is correct
78 Correct 57 ms 15092 KB Output is correct
79 Correct 63 ms 15052 KB Output is correct
80 Correct 61 ms 15096 KB Output is correct
81 Correct 108 ms 15524 KB Output is correct
82 Correct 111 ms 15556 KB Output is correct
83 Correct 118 ms 15516 KB Output is correct
84 Correct 119 ms 15516 KB Output is correct
85 Correct 109 ms 15436 KB Output is correct
86 Correct 116 ms 15556 KB Output is correct
87 Correct 109 ms 15544 KB Output is correct
88 Correct 115 ms 15556 KB Output is correct
89 Correct 114 ms 15468 KB Output is correct
90 Correct 113 ms 15620 KB Output is correct
91 Correct 163 ms 16324 KB Output is correct
92 Correct 160 ms 16256 KB Output is correct
93 Correct 158 ms 16204 KB Output is correct
94 Correct 157 ms 16244 KB Output is correct
95 Correct 161 ms 16244 KB Output is correct
96 Correct 164 ms 16632 KB Output is correct
97 Correct 156 ms 16640 KB Output is correct
98 Correct 155 ms 16588 KB Output is correct
99 Correct 160 ms 16528 KB Output is correct
100 Correct 161 ms 16636 KB Output is correct
101 Correct 155 ms 16640 KB Output is correct
102 Correct 158 ms 16632 KB Output is correct
103 Correct 166 ms 16708 KB Output is correct
104 Correct 163 ms 16640 KB Output is correct
105 Correct 164 ms 16644 KB Output is correct
106 Correct 151 ms 16776 KB Output is correct
107 Correct 160 ms 16840 KB Output is correct
108 Correct 156 ms 16964 KB Output is correct
109 Correct 165 ms 16836 KB Output is correct
110 Correct 153 ms 16836 KB Output is correct
111 Correct 157 ms 16844 KB Output is correct
112 Correct 151 ms 16836 KB Output is correct
113 Correct 153 ms 16720 KB Output is correct
114 Correct 154 ms 16840 KB Output is correct
115 Correct 159 ms 16840 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 8 ms 14668 KB Output is correct
2 Correct 8 ms 14656 KB Output is correct
3 Correct 8 ms 14692 KB Output is correct
4 Correct 8 ms 14668 KB Output is correct
5 Correct 8 ms 14668 KB Output is correct
6 Correct 7 ms 14676 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 9 ms 14660 KB Output is correct
11 Correct 8 ms 14668 KB Output is correct
12 Correct 10 ms 14668 KB Output is correct
13 Correct 13 ms 14744 KB Output is correct
14 Correct 61 ms 15088 KB Output is correct
15 Correct 104 ms 15472 KB Output is correct
16 Correct 154 ms 15772 KB Output is correct
17 Correct 165 ms 15752 KB Output is correct
18 Correct 151 ms 15856 KB Output is correct
19 Correct 149 ms 15852 KB Output is correct
20 Correct 148 ms 15820 KB Output is correct
21 Correct 152 ms 15852 KB Output is correct
22 Correct 154 ms 15804 KB Output is correct
23 Correct 185 ms 15852 KB Output is correct
24 Correct 173 ms 15848 KB Output is correct
25 Correct 175 ms 15820 KB Output is correct
26 Correct 9 ms 14636 KB Output is correct
27 Correct 8 ms 14668 KB Output is correct
28 Correct 13 ms 14660 KB Output is correct
29 Correct 60 ms 15084 KB Output is correct
30 Correct 129 ms 15476 KB Output is correct
31 Correct 154 ms 15844 KB Output is correct
32 Correct 198 ms 15856 KB Output is correct
33 Correct 170 ms 15860 KB Output is correct
34 Correct 198 ms 15852 KB Output is correct
35 Correct 152 ms 15856 KB Output is correct
36 Correct 174 ms 15824 KB Output is correct
37 Correct 149 ms 15856 KB Output is correct
38 Correct 161 ms 15820 KB Output is correct
39 Correct 158 ms 15856 KB Output is correct
40 Correct 158 ms 15848 KB Output is correct
41 Correct 8 ms 14668 KB Output is correct
42 Correct 8 ms 14668 KB Output is correct
43 Correct 8 ms 14668 KB Output is correct
44 Correct 16 ms 14756 KB Output is correct
45 Correct 13 ms 14796 KB Output is correct
46 Correct 16 ms 14840 KB Output is correct
47 Correct 34 ms 14796 KB Output is correct
48 Correct 32 ms 14796 KB Output is correct
49 Correct 56 ms 15052 KB Output is correct
50 Correct 101 ms 15436 KB Output is correct
51 Correct 159 ms 15980 KB Output is correct
52 Correct 154 ms 15944 KB Output is correct
53 Correct 149 ms 15856 KB Output is correct
54 Correct 155 ms 15776 KB Output is correct
55 Correct 164 ms 15916 KB Output is correct
56 Correct 161 ms 15860 KB Output is correct
57 Correct 148 ms 15860 KB Output is correct
58 Correct 160 ms 15860 KB Output is correct
59 Correct 157 ms 15912 KB Output is correct
60 Correct 155 ms 15856 KB Output is correct
61 Correct 175 ms 15860 KB Output is correct
62 Correct 153 ms 15872 KB Output is correct
63 Correct 154 ms 15856 KB Output is correct
64 Correct 172 ms 15856 KB Output is correct
65 Correct 168 ms 15816 KB Output is correct
66 Correct 158 ms 15860 KB Output is correct
67 Correct 164 ms 15860 KB Output is correct
68 Correct 182 ms 15820 KB Output is correct
69 Correct 184 ms 15820 KB Output is correct
70 Correct 156 ms 15940 KB Output is correct
71 Correct 33 ms 14912 KB Output is correct
72 Correct 34 ms 14900 KB Output is correct
73 Correct 33 ms 14912 KB Output is correct
74 Correct 34 ms 14796 KB Output is correct
75 Correct 36 ms 14896 KB Output is correct
76 Correct 83 ms 15096 KB Output is correct
77 Correct 70 ms 15100 KB Output is correct
78 Correct 57 ms 15092 KB Output is correct
79 Correct 63 ms 15052 KB Output is correct
80 Correct 61 ms 15096 KB Output is correct
81 Correct 108 ms 15524 KB Output is correct
82 Correct 111 ms 15556 KB Output is correct
83 Correct 118 ms 15516 KB Output is correct
84 Correct 119 ms 15516 KB Output is correct
85 Correct 109 ms 15436 KB Output is correct
86 Correct 116 ms 15556 KB Output is correct
87 Correct 109 ms 15544 KB Output is correct
88 Correct 115 ms 15556 KB Output is correct
89 Correct 114 ms 15468 KB Output is correct
90 Correct 113 ms 15620 KB Output is correct
91 Correct 163 ms 16324 KB Output is correct
92 Correct 160 ms 16256 KB Output is correct
93 Correct 158 ms 16204 KB Output is correct
94 Correct 157 ms 16244 KB Output is correct
95 Correct 161 ms 16244 KB Output is correct
96 Correct 164 ms 16632 KB Output is correct
97 Correct 156 ms 16640 KB Output is correct
98 Correct 155 ms 16588 KB Output is correct
99 Correct 160 ms 16528 KB Output is correct
100 Correct 161 ms 16636 KB Output is correct
101 Correct 155 ms 16640 KB Output is correct
102 Correct 158 ms 16632 KB Output is correct
103 Correct 166 ms 16708 KB Output is correct
104 Correct 163 ms 16640 KB Output is correct
105 Correct 164 ms 16644 KB Output is correct
106 Correct 151 ms 16776 KB Output is correct
107 Correct 160 ms 16840 KB Output is correct
108 Correct 156 ms 16964 KB Output is correct
109 Correct 165 ms 16836 KB Output is correct
110 Correct 153 ms 16836 KB Output is correct
111 Correct 157 ms 16844 KB Output is correct
112 Correct 151 ms 16836 KB Output is correct
113 Correct 153 ms 16720 KB Output is correct
114 Correct 154 ms 16840 KB Output is correct
115 Correct 159 ms 16840 KB Output is correct
116 Execution timed out 7093 ms 16060 KB Time limit exceeded
117 Halted 0 ms 0 KB -