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Submission #1087340

# Submission time Handle Problem Language Result Execution time Memory
1087340 2024-09-12T13:48:40 Z vladilius Diversity (CEOI21_diversity) C++17
64 / 100
 7000 ms 16476 KB 
#include <bits/stdc++.h>
using namespace std;
using ll = long long;
using pii = pair<int, int>;
#define pb push_back
#define ff first
#define ss second
#define ins insert
#define arr3 array<int, 3>
const int A = 3e5;

struct FT{
    ll bit[A + 1], a[A + 1], s;
    int n;
    FT(int ns){
        n = ns;
        for (int i = 1; i <= n; i++){
            bit[i] = a[i] = 0;
        }
        s = 0;
    }
    void upd(int v, ll x){
        s += x; a[v] += x;
        while (v <= n){
            bit[v] += x;
            v |= (v + 1);
        }
    }
    ll get(int v){
        ll out = 0;
        while (v > 0){
            out += bit[v];
            v = (v & (v + 1)) - 1;
        }
        return out;
    }
    ll get(int l, int r){
        if (l > r) return 0;
        return get(r) - get(l - 1);
    }
};

int main(){
    ios_base::sync_with_stdio(0);
    cin.tie(0);
    cout.tie(0);
    
    int n, q; cin>>n>>q;
    vector<int> a(n + 1);
    for (int i = 1; i <= n; i++){
        cin>>a[i];
    }
    
    vector<arr3> qs;
    for (int i = 1; i <= q; i++){
        int l, r; cin>>l>>r;
        qs.pb({l, r, i});
    }
    
    const int S = sqrt(n);
    auto cmp = [&](arr3 x, arr3 y){
        if (x[0] / S == y[0] / S){
            return x[1] < y[1];
        }
        return x[0] < y[0];
    };
    sort(qs.begin(), qs.end(), cmp);
    
    vector<int> p(n + 1);
    for (int i = 1; i <= n; i++){
        if (i % 2){
            p[i] = (i + 1) / 2;
        }
        else {
            p[i] = n - i / 2 + 1;
        }
    }
    
    ll sum = 0, s1, s2;
    vector<int> f(n + 1), cnt(A + 1);
    vector<int> :: iterator it;
    FT T1(n), T2(n);
    auto add = [&](int x){
        x = a[x];
        it = upper_bound(f.begin() + 1, f.end(), cnt[x]); it--;
        int j1 = (int) (it - f.begin()), j = p[j1];
        
        sum += (f[j1] + 1);
        s1 = T1.get(1, j - 1); s2 = T2.get(1, j - 1);
        sum += (1LL * j * s1);
        sum -= (s2 - s1);
        sum += (T2.s - s2 - T2.a[j]);
        sum -= 1LL * (j - 1) * (T1.s - s1 - T1.a[j]);
        
        cnt[x]++; f[j1]++;
        T1.upd(j, 1);
        T2.upd(j, j);
    };

    auto rem = [&](int x){
        x = a[x];
        it = lower_bound(f.begin() + 1, f.end(), cnt[x]);
        int j1 = (int) (it - f.begin()), j = p[j1];
        
        sum -= f[j1];
        s1 = T1.get(1, j - 1); s2 = T2.get(1, j - 1);
        sum -= (1LL * j * s1);
        sum += (s2 - s1);
        sum -= (T2.s - s2 - T2.a[j]);
        sum += 1LL * (j - 1) * (T1.s - s1 - T1.a[j]);
        
        cnt[x]--; f[j1]--;
        T1.upd(j, -1);
        T2.upd(j, -j);
    };
    
    vector<ll> out(q + 1);
    int lc = 1, rc = 0;
    for (auto [l, r, ii]: qs){
        while (lc < l) rem(lc++);
        while (lc > l) add(--lc);
        while (rc < r) add(++rc);
        while (rc > r) rem(rc--);
        
        out[ii] = sum;
    }
    
    for (int i = 1; i <= q; i++){
        cout<<out[i]<<"\n";
    }
}

Subtask #1
4.0 / 4.0

# Verdict Execution time Memory Grader output
1 Correct 6 ms 10844 KB Output is correct
2 Correct 6 ms 10844 KB Output is correct
3 Correct 5 ms 10844 KB Output is correct
4 Correct 5 ms 10844 KB Output is correct
5 Correct 5 ms 10792 KB Output is correct
6 Correct 5 ms 10844 KB Output is correct
7 Correct 5 ms 10856 KB Output is correct
8 Correct 5 ms 10844 KB Output is correct
9 Correct 5 ms 11008 KB Output is correct
10 Correct 6 ms 10844 KB Output is correct

Subtask #2
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 5 ms 10844 KB Output is correct
2 Correct 5 ms 10912 KB Output is correct
3 Correct 6 ms 11100 KB Output is correct
4 Correct 15 ms 12344 KB Output is correct
5 Correct 27 ms 13780 KB Output is correct
6 Correct 40 ms 15196 KB Output is correct
7 Correct 41 ms 14984 KB Output is correct
8 Correct 38 ms 14928 KB Output is correct
9 Correct 42 ms 14940 KB Output is correct
10 Correct 45 ms 15184 KB Output is correct
11 Correct 40 ms 14940 KB Output is correct
12 Correct 39 ms 14984 KB Output is correct
13 Correct 41 ms 15196 KB Output is correct
14 Correct 44 ms 14932 KB Output is correct
15 Correct 41 ms 14940 KB Output is correct

Subtask #3
8.0 / 8.0

# Verdict Execution time Memory Grader output
1 Correct 5 ms 10844 KB Output is correct
2 Correct 5 ms 10912 KB Output is correct
3 Correct 6 ms 11100 KB Output is correct
4 Correct 15 ms 12344 KB Output is correct
5 Correct 27 ms 13780 KB Output is correct
6 Correct 40 ms 15196 KB Output is correct
7 Correct 41 ms 14984 KB Output is correct
8 Correct 38 ms 14928 KB Output is correct
9 Correct 42 ms 14940 KB Output is correct
10 Correct 45 ms 15184 KB Output is correct
11 Correct 40 ms 14940 KB Output is correct
12 Correct 39 ms 14984 KB Output is correct
13 Correct 41 ms 15196 KB Output is correct
14 Correct 44 ms 14932 KB Output is correct
15 Correct 41 ms 14940 KB Output is correct
16 Correct 7 ms 10844 KB Output is correct
17 Correct 5 ms 10844 KB Output is correct
18 Correct 6 ms 11096 KB Output is correct
19 Correct 17 ms 12420 KB Output is correct
20 Correct 29 ms 13700 KB Output is correct
21 Correct 45 ms 15240 KB Output is correct
22 Correct 42 ms 15192 KB Output is correct
23 Correct 42 ms 15196 KB Output is correct
24 Correct 44 ms 15184 KB Output is correct
25 Correct 42 ms 15196 KB Output is correct
26 Correct 43 ms 15312 KB Output is correct
27 Correct 40 ms 15192 KB Output is correct
28 Correct 44 ms 15196 KB Output is correct
29 Correct 46 ms 15276 KB Output is correct
30 Correct 41 ms 15192 KB Output is correct

Subtask #4
16.0 / 16.0

# Verdict Execution time Memory Grader output
1 Correct 5 ms 10844 KB Output is correct
2 Correct 5 ms 10912 KB Output is correct
3 Correct 6 ms 11100 KB Output is correct
4 Correct 15 ms 12344 KB Output is correct
5 Correct 27 ms 13780 KB Output is correct
6 Correct 40 ms 15196 KB Output is correct
7 Correct 41 ms 14984 KB Output is correct
8 Correct 38 ms 14928 KB Output is correct
9 Correct 42 ms 14940 KB Output is correct
10 Correct 45 ms 15184 KB Output is correct
11 Correct 40 ms 14940 KB Output is correct
12 Correct 39 ms 14984 KB Output is correct
13 Correct 41 ms 15196 KB Output is correct
14 Correct 44 ms 14932 KB Output is correct
15 Correct 41 ms 14940 KB Output is correct
16 Correct 7 ms 10844 KB Output is correct
17 Correct 5 ms 10844 KB Output is correct
18 Correct 6 ms 11096 KB Output is correct
19 Correct 17 ms 12420 KB Output is correct
20 Correct 29 ms 13700 KB Output is correct
21 Correct 45 ms 15240 KB Output is correct
22 Correct 42 ms 15192 KB Output is correct
23 Correct 42 ms 15196 KB Output is correct
24 Correct 44 ms 15184 KB Output is correct
25 Correct 42 ms 15196 KB Output is correct
26 Correct 43 ms 15312 KB Output is correct
27 Correct 40 ms 15192 KB Output is correct
28 Correct 44 ms 15196 KB Output is correct
29 Correct 46 ms 15276 KB Output is correct
30 Correct 41 ms 15192 KB Output is correct
31 Correct 5 ms 10844 KB Output is correct
32 Correct 5 ms 10948 KB Output is correct
33 Correct 5 ms 10844 KB Output is correct
34 Correct 6 ms 11100 KB Output is correct
35 Correct 6 ms 10944 KB Output is correct
36 Correct 7 ms 11096 KB Output is correct
37 Correct 12 ms 11612 KB Output is correct
38 Correct 12 ms 11612 KB Output is correct
39 Correct 21 ms 12376 KB Output is correct
40 Correct 37 ms 13912 KB Output is correct
41 Correct 49 ms 15440 KB Output is correct
42 Correct 48 ms 15676 KB Output is correct
43 Correct 52 ms 15440 KB Output is correct
44 Correct 50 ms 15676 KB Output is correct
45 Correct 56 ms 15676 KB Output is correct
46 Correct 51 ms 15448 KB Output is correct
47 Correct 47 ms 15448 KB Output is correct
48 Correct 48 ms 15452 KB Output is correct
49 Correct 49 ms 15448 KB Output is correct
50 Correct 48 ms 15644 KB Output is correct
51 Correct 52 ms 15448 KB Output is correct
52 Correct 50 ms 15448 KB Output is correct
53 Correct 49 ms 15448 KB Output is correct
54 Correct 50 ms 15444 KB Output is correct
55 Correct 56 ms 15704 KB Output is correct
56 Correct 54 ms 15708 KB Output is correct
57 Correct 52 ms 15452 KB Output is correct
58 Correct 50 ms 15656 KB Output is correct
59 Correct 48 ms 15704 KB Output is correct
60 Correct 47 ms 15452 KB Output is correct

Subtask #5
26.0 / 26.0

# Verdict Execution time Memory Grader output
1 Correct 6 ms 10844 KB Output is correct
2 Correct 6 ms 10844 KB Output is correct
3 Correct 5 ms 10844 KB Output is correct
4 Correct 5 ms 10844 KB Output is correct
5 Correct 5 ms 10792 KB Output is correct
6 Correct 5 ms 10844 KB Output is correct
7 Correct 5 ms 10856 KB Output is correct
8 Correct 5 ms 10844 KB Output is correct
9 Correct 5 ms 11008 KB Output is correct
10 Correct 6 ms 10844 KB Output is correct
11 Correct 5 ms 10844 KB Output is correct
12 Correct 5 ms 10912 KB Output is correct
13 Correct 6 ms 11100 KB Output is correct
14 Correct 15 ms 12344 KB Output is correct
15 Correct 27 ms 13780 KB Output is correct
16 Correct 40 ms 15196 KB Output is correct
17 Correct 41 ms 14984 KB Output is correct
18 Correct 38 ms 14928 KB Output is correct
19 Correct 42 ms 14940 KB Output is correct
20 Correct 45 ms 15184 KB Output is correct
21 Correct 40 ms 14940 KB Output is correct
22 Correct 39 ms 14984 KB Output is correct
23 Correct 41 ms 15196 KB Output is correct
24 Correct 44 ms 14932 KB Output is correct
25 Correct 41 ms 14940 KB Output is correct
26 Correct 7 ms 10844 KB Output is correct
27 Correct 5 ms 10844 KB Output is correct
28 Correct 6 ms 11096 KB Output is correct
29 Correct 17 ms 12420 KB Output is correct
30 Correct 29 ms 13700 KB Output is correct
31 Correct 45 ms 15240 KB Output is correct
32 Correct 42 ms 15192 KB Output is correct
33 Correct 42 ms 15196 KB Output is correct
34 Correct 44 ms 15184 KB Output is correct
35 Correct 42 ms 15196 KB Output is correct
36 Correct 43 ms 15312 KB Output is correct
37 Correct 40 ms 15192 KB Output is correct
38 Correct 44 ms 15196 KB Output is correct
39 Correct 46 ms 15276 KB Output is correct
40 Correct 41 ms 15192 KB Output is correct
41 Correct 5 ms 10844 KB Output is correct
42 Correct 5 ms 10948 KB Output is correct
43 Correct 5 ms 10844 KB Output is correct
44 Correct 6 ms 11100 KB Output is correct
45 Correct 6 ms 10944 KB Output is correct
46 Correct 7 ms 11096 KB Output is correct
47 Correct 12 ms 11612 KB Output is correct
48 Correct 12 ms 11612 KB Output is correct
49 Correct 21 ms 12376 KB Output is correct
50 Correct 37 ms 13912 KB Output is correct
51 Correct 49 ms 15440 KB Output is correct
52 Correct 48 ms 15676 KB Output is correct
53 Correct 52 ms 15440 KB Output is correct
54 Correct 50 ms 15676 KB Output is correct
55 Correct 56 ms 15676 KB Output is correct
56 Correct 51 ms 15448 KB Output is correct
57 Correct 47 ms 15448 KB Output is correct
58 Correct 48 ms 15452 KB Output is correct
59 Correct 49 ms 15448 KB Output is correct
60 Correct 48 ms 15644 KB Output is correct
61 Correct 52 ms 15448 KB Output is correct
62 Correct 50 ms 15448 KB Output is correct
63 Correct 49 ms 15448 KB Output is correct
64 Correct 50 ms 15444 KB Output is correct
65 Correct 56 ms 15704 KB Output is correct
66 Correct 54 ms 15708 KB Output is correct
67 Correct 52 ms 15452 KB Output is correct
68 Correct 50 ms 15656 KB Output is correct
69 Correct 48 ms 15704 KB Output is correct
70 Correct 47 ms 15452 KB Output is correct
71 Correct 12 ms 11612 KB Output is correct
72 Correct 12 ms 11708 KB Output is correct
73 Correct 13 ms 11840 KB Output is correct
74 Correct 13 ms 12092 KB Output is correct
75 Correct 12 ms 11612 KB Output is correct
76 Correct 20 ms 12512 KB Output is correct
77 Correct 20 ms 12672 KB Output is correct
78 Correct 22 ms 12668 KB Output is correct
79 Correct 23 ms 12672 KB Output is correct
80 Correct 21 ms 12632 KB Output is correct
81 Correct 39 ms 14172 KB Output is correct
82 Correct 48 ms 14120 KB Output is correct
83 Correct 37 ms 14168 KB Output is correct
84 Correct 40 ms 14320 KB Output is correct
85 Correct 39 ms 14172 KB Output is correct
86 Correct 40 ms 14428 KB Output is correct
87 Correct 40 ms 14428 KB Output is correct
88 Correct 43 ms 14428 KB Output is correct
89 Correct 39 ms 14428 KB Output is correct
90 Correct 43 ms 14428 KB Output is correct
91 Correct 55 ms 16212 KB Output is correct
92 Correct 55 ms 16268 KB Output is correct
93 Correct 63 ms 16212 KB Output is correct
94 Correct 58 ms 16004 KB Output is correct
95 Correct 61 ms 16216 KB Output is correct
96 Correct 59 ms 16392 KB Output is correct
97 Correct 56 ms 16212 KB Output is correct
98 Correct 62 ms 16220 KB Output is correct
99 Correct 59 ms 16220 KB Output is correct
100 Correct 60 ms 16368 KB Output is correct
101 Correct 60 ms 16392 KB Output is correct
102 Correct 60 ms 16468 KB Output is correct
103 Correct 56 ms 16212 KB Output is correct
104 Correct 57 ms 16208 KB Output is correct
105 Correct 57 ms 16212 KB Output is correct
106 Correct 54 ms 16252 KB Output is correct
107 Correct 55 ms 16456 KB Output is correct
108 Correct 68 ms 16388 KB Output is correct
109 Correct 54 ms 16208 KB Output is correct
110 Correct 53 ms 16476 KB Output is correct
111 Correct 58 ms 16212 KB Output is correct
112 Correct 58 ms 16392 KB Output is correct
113 Correct 56 ms 16476 KB Output is correct
114 Correct 56 ms 16208 KB Output is correct
115 Correct 54 ms 16476 KB Output is correct

Subtask #6
0 / 36.0

# Verdict Execution time Memory Grader output
1 Correct 6 ms 10844 KB Output is correct
2 Correct 6 ms 10844 KB Output is correct
3 Correct 5 ms 10844 KB Output is correct
4 Correct 5 ms 10844 KB Output is correct
5 Correct 5 ms 10792 KB Output is correct
6 Correct 5 ms 10844 KB Output is correct
7 Correct 5 ms 10856 KB Output is correct
8 Correct 5 ms 10844 KB Output is correct
9 Correct 5 ms 11008 KB Output is correct
10 Correct 6 ms 10844 KB Output is correct
11 Correct 5 ms 10844 KB Output is correct
12 Correct 5 ms 10912 KB Output is correct
13 Correct 6 ms 11100 KB Output is correct
14 Correct 15 ms 12344 KB Output is correct
15 Correct 27 ms 13780 KB Output is correct
16 Correct 40 ms 15196 KB Output is correct
17 Correct 41 ms 14984 KB Output is correct
18 Correct 38 ms 14928 KB Output is correct
19 Correct 42 ms 14940 KB Output is correct
20 Correct 45 ms 15184 KB Output is correct
21 Correct 40 ms 14940 KB Output is correct
22 Correct 39 ms 14984 KB Output is correct
23 Correct 41 ms 15196 KB Output is correct
24 Correct 44 ms 14932 KB Output is correct
25 Correct 41 ms 14940 KB Output is correct
26 Correct 7 ms 10844 KB Output is correct
27 Correct 5 ms 10844 KB Output is correct
28 Correct 6 ms 11096 KB Output is correct
29 Correct 17 ms 12420 KB Output is correct
30 Correct 29 ms 13700 KB Output is correct
31 Correct 45 ms 15240 KB Output is correct
32 Correct 42 ms 15192 KB Output is correct
33 Correct 42 ms 15196 KB Output is correct
34 Correct 44 ms 15184 KB Output is correct
35 Correct 42 ms 15196 KB Output is correct
36 Correct 43 ms 15312 KB Output is correct
37 Correct 40 ms 15192 KB Output is correct
38 Correct 44 ms 15196 KB Output is correct
39 Correct 46 ms 15276 KB Output is correct
40 Correct 41 ms 15192 KB Output is correct
41 Correct 5 ms 10844 KB Output is correct
42 Correct 5 ms 10948 KB Output is correct
43 Correct 5 ms 10844 KB Output is correct
44 Correct 6 ms 11100 KB Output is correct
45 Correct 6 ms 10944 KB Output is correct
46 Correct 7 ms 11096 KB Output is correct
47 Correct 12 ms 11612 KB Output is correct
48 Correct 12 ms 11612 KB Output is correct
49 Correct 21 ms 12376 KB Output is correct
50 Correct 37 ms 13912 KB Output is correct
51 Correct 49 ms 15440 KB Output is correct
52 Correct 48 ms 15676 KB Output is correct
53 Correct 52 ms 15440 KB Output is correct
54 Correct 50 ms 15676 KB Output is correct
55 Correct 56 ms 15676 KB Output is correct
56 Correct 51 ms 15448 KB Output is correct
57 Correct 47 ms 15448 KB Output is correct
58 Correct 48 ms 15452 KB Output is correct
59 Correct 49 ms 15448 KB Output is correct
60 Correct 48 ms 15644 KB Output is correct
61 Correct 52 ms 15448 KB Output is correct
62 Correct 50 ms 15448 KB Output is correct
63 Correct 49 ms 15448 KB Output is correct
64 Correct 50 ms 15444 KB Output is correct
65 Correct 56 ms 15704 KB Output is correct
66 Correct 54 ms 15708 KB Output is correct
67 Correct 52 ms 15452 KB Output is correct
68 Correct 50 ms 15656 KB Output is correct
69 Correct 48 ms 15704 KB Output is correct
70 Correct 47 ms 15452 KB Output is correct
71 Correct 12 ms 11612 KB Output is correct
72 Correct 12 ms 11708 KB Output is correct
73 Correct 13 ms 11840 KB Output is correct
74 Correct 13 ms 12092 KB Output is correct
75 Correct 12 ms 11612 KB Output is correct
76 Correct 20 ms 12512 KB Output is correct
77 Correct 20 ms 12672 KB Output is correct
78 Correct 22 ms 12668 KB Output is correct
79 Correct 23 ms 12672 KB Output is correct
80 Correct 21 ms 12632 KB Output is correct
81 Correct 39 ms 14172 KB Output is correct
82 Correct 48 ms 14120 KB Output is correct
83 Correct 37 ms 14168 KB Output is correct
84 Correct 40 ms 14320 KB Output is correct
85 Correct 39 ms 14172 KB Output is correct
86 Correct 40 ms 14428 KB Output is correct
87 Correct 40 ms 14428 KB Output is correct
88 Correct 43 ms 14428 KB Output is correct
89 Correct 39 ms 14428 KB Output is correct
90 Correct 43 ms 14428 KB Output is correct
91 Correct 55 ms 16212 KB Output is correct
92 Correct 55 ms 16268 KB Output is correct
93 Correct 63 ms 16212 KB Output is correct
94 Correct 58 ms 16004 KB Output is correct
95 Correct 61 ms 16216 KB Output is correct
96 Correct 59 ms 16392 KB Output is correct
97 Correct 56 ms 16212 KB Output is correct
98 Correct 62 ms 16220 KB Output is correct
99 Correct 59 ms 16220 KB Output is correct
100 Correct 60 ms 16368 KB Output is correct
101 Correct 60 ms 16392 KB Output is correct
102 Correct 60 ms 16468 KB Output is correct
103 Correct 56 ms 16212 KB Output is correct
104 Correct 57 ms 16208 KB Output is correct
105 Correct 57 ms 16212 KB Output is correct
106 Correct 54 ms 16252 KB Output is correct
107 Correct 55 ms 16456 KB Output is correct
108 Correct 68 ms 16388 KB Output is correct
109 Correct 54 ms 16208 KB Output is correct
110 Correct 53 ms 16476 KB Output is correct
111 Correct 58 ms 16212 KB Output is correct
112 Correct 58 ms 16392 KB Output is correct
113 Correct 56 ms 16476 KB Output is correct
114 Correct 56 ms 16208 KB Output is correct
115 Correct 54 ms 16476 KB Output is correct
116 Correct 167 ms 12924 KB Output is correct
117 Correct 177 ms 13028 KB Output is correct
118 Correct 1042 ms 13804 KB Output is correct
119 Correct 1196 ms 13772 KB Output is correct
120 Correct 1249 ms 13772 KB Output is correct
121 Correct 3236 ms 14796 KB Output is correct
122 Correct 3381 ms 14824 KB Output is correct
123 Execution timed out 7038 ms 15816 KB Time limit exceeded
124 Halted 0 ms 0 KB -