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Submission #1087319

# Submission time Handle Problem Language Result Execution time Memory
1087319 2024-09-12T13:30:43 Z vladilius Diversity (CEOI21_diversity) C++17
64 / 100
 7000 ms 16576 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{
    vector<ll> bit, a;
    int n;
    FT(int ns){
        n = ns;
        bit.resize(n + 1);
        a.resize(n + 1);
    }
    void upd(int v, ll 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;
    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);
        sum += (1LL * j * T1.get(1, j - 1));
        sum -= (T2.get(1, j - 1) - T1.get(1, j - 1));
        sum += T2.get(j + 1, n);
        sum -= 1LL * (j - 1) * T1.get(j + 1, n);
        
        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];
        sum -= (1LL * j * T1.get(1, j - 1));
        sum += (T2.get(1, j - 1) - T1.get(1, j - 1));
        sum -= T2.get(j + 1, n);
        sum += 1LL * (j - 1) * T1.get(j + 1, n);
        
        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 1 ms 1624 KB Output is correct
2 Correct 1 ms 1624 KB Output is correct
3 Correct 1 ms 1628 KB Output is correct
4 Correct 1 ms 1628 KB Output is correct
5 Correct 1 ms 1628 KB Output is correct
6 Correct 1 ms 1628 KB Output is correct
7 Correct 1 ms 1628 KB Output is correct
8 Correct 1 ms 1628 KB Output is correct
9 Correct 1 ms 1628 KB Output is correct
10 Correct 1 ms 1628 KB Output is correct

Subtask #2
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 1628 KB Output is correct
2 Correct 1 ms 1472 KB Output is correct
3 Correct 2 ms 1884 KB Output is correct
4 Correct 17 ms 6156 KB Output is correct
5 Correct 35 ms 10840 KB Output is correct
6 Correct 58 ms 15208 KB Output is correct
7 Correct 63 ms 15060 KB Output is correct
8 Correct 56 ms 14936 KB Output is correct
9 Correct 63 ms 15168 KB Output is correct
10 Correct 56 ms 15196 KB Output is correct
11 Correct 57 ms 15192 KB Output is correct
12 Correct 63 ms 15216 KB Output is correct
13 Correct 60 ms 15192 KB Output is correct
14 Correct 59 ms 15192 KB Output is correct
15 Correct 62 ms 14940 KB Output is correct

Subtask #3
8.0 / 8.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 1628 KB Output is correct
2 Correct 1 ms 1472 KB Output is correct
3 Correct 2 ms 1884 KB Output is correct
4 Correct 17 ms 6156 KB Output is correct
5 Correct 35 ms 10840 KB Output is correct
6 Correct 58 ms 15208 KB Output is correct
7 Correct 63 ms 15060 KB Output is correct
8 Correct 56 ms 14936 KB Output is correct
9 Correct 63 ms 15168 KB Output is correct
10 Correct 56 ms 15196 KB Output is correct
11 Correct 57 ms 15192 KB Output is correct
12 Correct 63 ms 15216 KB Output is correct
13 Correct 60 ms 15192 KB Output is correct
14 Correct 59 ms 15192 KB Output is correct
15 Correct 62 ms 14940 KB Output is correct
16 Correct 1 ms 1624 KB Output is correct
17 Correct 1 ms 1624 KB Output is correct
18 Correct 2 ms 1884 KB Output is correct
19 Correct 16 ms 6216 KB Output is correct
20 Correct 35 ms 10768 KB Output is correct
21 Correct 64 ms 15196 KB Output is correct
22 Correct 62 ms 15184 KB Output is correct
23 Correct 54 ms 15196 KB Output is correct
24 Correct 56 ms 15192 KB Output is correct
25 Correct 61 ms 15316 KB Output is correct
26 Correct 58 ms 15192 KB Output is correct
27 Correct 58 ms 15192 KB Output is correct
28 Correct 58 ms 15192 KB Output is correct
29 Correct 55 ms 15196 KB Output is correct
30 Correct 59 ms 15252 KB Output is correct

Subtask #4
16.0 / 16.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 1628 KB Output is correct
2 Correct 1 ms 1472 KB Output is correct
3 Correct 2 ms 1884 KB Output is correct
4 Correct 17 ms 6156 KB Output is correct
5 Correct 35 ms 10840 KB Output is correct
6 Correct 58 ms 15208 KB Output is correct
7 Correct 63 ms 15060 KB Output is correct
8 Correct 56 ms 14936 KB Output is correct
9 Correct 63 ms 15168 KB Output is correct
10 Correct 56 ms 15196 KB Output is correct
11 Correct 57 ms 15192 KB Output is correct
12 Correct 63 ms 15216 KB Output is correct
13 Correct 60 ms 15192 KB Output is correct
14 Correct 59 ms 15192 KB Output is correct
15 Correct 62 ms 14940 KB Output is correct
16 Correct 1 ms 1624 KB Output is correct
17 Correct 1 ms 1624 KB Output is correct
18 Correct 2 ms 1884 KB Output is correct
19 Correct 16 ms 6216 KB Output is correct
20 Correct 35 ms 10768 KB Output is correct
21 Correct 64 ms 15196 KB Output is correct
22 Correct 62 ms 15184 KB Output is correct
23 Correct 54 ms 15196 KB Output is correct
24 Correct 56 ms 15192 KB Output is correct
25 Correct 61 ms 15316 KB Output is correct
26 Correct 58 ms 15192 KB Output is correct
27 Correct 58 ms 15192 KB Output is correct
28 Correct 58 ms 15192 KB Output is correct
29 Correct 55 ms 15196 KB Output is correct
30 Correct 59 ms 15252 KB Output is correct
31 Correct 1 ms 1624 KB Output is correct
32 Correct 1 ms 1628 KB Output is correct
33 Correct 1 ms 1628 KB Output is correct
34 Correct 2 ms 1884 KB Output is correct
35 Correct 2 ms 2064 KB Output is correct
36 Correct 2 ms 1884 KB Output is correct
37 Correct 9 ms 3988 KB Output is correct
38 Correct 9 ms 3932 KB Output is correct
39 Correct 18 ms 6236 KB Output is correct
40 Correct 39 ms 10844 KB Output is correct
41 Correct 69 ms 15444 KB Output is correct
42 Correct 60 ms 15440 KB Output is correct
43 Correct 59 ms 15452 KB Output is correct
44 Correct 57 ms 15440 KB Output is correct
45 Correct 57 ms 15452 KB Output is correct
46 Correct 58 ms 15472 KB Output is correct
47 Correct 61 ms 15684 KB Output is correct
48 Correct 66 ms 15452 KB Output is correct
49 Correct 57 ms 15444 KB Output is correct
50 Correct 65 ms 15448 KB Output is correct
51 Correct 57 ms 15588 KB Output is correct
52 Correct 57 ms 15448 KB Output is correct
53 Correct 57 ms 15564 KB Output is correct
54 Correct 57 ms 15452 KB Output is correct
55 Correct 58 ms 15444 KB Output is correct
56 Correct 59 ms 15452 KB Output is correct
57 Correct 61 ms 15440 KB Output is correct
58 Correct 59 ms 15452 KB Output is correct
59 Correct 63 ms 15680 KB Output is correct
60 Correct 61 ms 15432 KB Output is correct

Subtask #5
26.0 / 26.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 1624 KB Output is correct
2 Correct 1 ms 1624 KB Output is correct
3 Correct 1 ms 1628 KB Output is correct
4 Correct 1 ms 1628 KB Output is correct
5 Correct 1 ms 1628 KB Output is correct
6 Correct 1 ms 1628 KB Output is correct
7 Correct 1 ms 1628 KB Output is correct
8 Correct 1 ms 1628 KB Output is correct
9 Correct 1 ms 1628 KB Output is correct
10 Correct 1 ms 1628 KB Output is correct
11 Correct 1 ms 1628 KB Output is correct
12 Correct 1 ms 1472 KB Output is correct
13 Correct 2 ms 1884 KB Output is correct
14 Correct 17 ms 6156 KB Output is correct
15 Correct 35 ms 10840 KB Output is correct
16 Correct 58 ms 15208 KB Output is correct
17 Correct 63 ms 15060 KB Output is correct
18 Correct 56 ms 14936 KB Output is correct
19 Correct 63 ms 15168 KB Output is correct
20 Correct 56 ms 15196 KB Output is correct
21 Correct 57 ms 15192 KB Output is correct
22 Correct 63 ms 15216 KB Output is correct
23 Correct 60 ms 15192 KB Output is correct
24 Correct 59 ms 15192 KB Output is correct
25 Correct 62 ms 14940 KB Output is correct
26 Correct 1 ms 1624 KB Output is correct
27 Correct 1 ms 1624 KB Output is correct
28 Correct 2 ms 1884 KB Output is correct
29 Correct 16 ms 6216 KB Output is correct
30 Correct 35 ms 10768 KB Output is correct
31 Correct 64 ms 15196 KB Output is correct
32 Correct 62 ms 15184 KB Output is correct
33 Correct 54 ms 15196 KB Output is correct
34 Correct 56 ms 15192 KB Output is correct
35 Correct 61 ms 15316 KB Output is correct
36 Correct 58 ms 15192 KB Output is correct
37 Correct 58 ms 15192 KB Output is correct
38 Correct 58 ms 15192 KB Output is correct
39 Correct 55 ms 15196 KB Output is correct
40 Correct 59 ms 15252 KB Output is correct
41 Correct 1 ms 1624 KB Output is correct
42 Correct 1 ms 1628 KB Output is correct
43 Correct 1 ms 1628 KB Output is correct
44 Correct 2 ms 1884 KB Output is correct
45 Correct 2 ms 2064 KB Output is correct
46 Correct 2 ms 1884 KB Output is correct
47 Correct 9 ms 3988 KB Output is correct
48 Correct 9 ms 3932 KB Output is correct
49 Correct 18 ms 6236 KB Output is correct
50 Correct 39 ms 10844 KB Output is correct
51 Correct 69 ms 15444 KB Output is correct
52 Correct 60 ms 15440 KB Output is correct
53 Correct 59 ms 15452 KB Output is correct
54 Correct 57 ms 15440 KB Output is correct
55 Correct 57 ms 15452 KB Output is correct
56 Correct 58 ms 15472 KB Output is correct
57 Correct 61 ms 15684 KB Output is correct
58 Correct 66 ms 15452 KB Output is correct
59 Correct 57 ms 15444 KB Output is correct
60 Correct 65 ms 15448 KB Output is correct
61 Correct 57 ms 15588 KB Output is correct
62 Correct 57 ms 15448 KB Output is correct
63 Correct 57 ms 15564 KB Output is correct
64 Correct 57 ms 15452 KB Output is correct
65 Correct 58 ms 15444 KB Output is correct
66 Correct 59 ms 15452 KB Output is correct
67 Correct 61 ms 15440 KB Output is correct
68 Correct 59 ms 15452 KB Output is correct
69 Correct 63 ms 15680 KB Output is correct
70 Correct 61 ms 15432 KB Output is correct
71 Correct 10 ms 3928 KB Output is correct
72 Correct 10 ms 4024 KB Output is correct
73 Correct 10 ms 3952 KB Output is correct
74 Correct 10 ms 3932 KB Output is correct
75 Correct 10 ms 4020 KB Output is correct
76 Correct 21 ms 6432 KB Output is correct
77 Correct 22 ms 6236 KB Output is correct
78 Correct 20 ms 6232 KB Output is correct
79 Correct 23 ms 6236 KB Output is correct
80 Correct 21 ms 6432 KB Output is correct
81 Correct 43 ms 11096 KB Output is correct
82 Correct 42 ms 11096 KB Output is correct
83 Correct 42 ms 11092 KB Output is correct
84 Correct 43 ms 11092 KB Output is correct
85 Correct 48 ms 11096 KB Output is correct
86 Correct 44 ms 11096 KB Output is correct
87 Correct 43 ms 11216 KB Output is correct
88 Correct 45 ms 11312 KB Output is correct
89 Correct 43 ms 11280 KB Output is correct
90 Correct 44 ms 11096 KB Output is correct
91 Correct 69 ms 16264 KB Output is correct
92 Correct 65 ms 16212 KB Output is correct
93 Correct 67 ms 16080 KB Output is correct
94 Correct 67 ms 16216 KB Output is correct
95 Correct 74 ms 16212 KB Output is correct
96 Correct 74 ms 16220 KB Output is correct
97 Correct 78 ms 16216 KB Output is correct
98 Correct 69 ms 16432 KB Output is correct
99 Correct 72 ms 16344 KB Output is correct
100 Correct 79 ms 16212 KB Output is correct
101 Correct 68 ms 16428 KB Output is correct
102 Correct 68 ms 16220 KB Output is correct
103 Correct 68 ms 16212 KB Output is correct
104 Correct 68 ms 16220 KB Output is correct
105 Correct 68 ms 16220 KB Output is correct
106 Correct 77 ms 16212 KB Output is correct
107 Correct 79 ms 16576 KB Output is correct
108 Correct 70 ms 16356 KB Output is correct
109 Correct 75 ms 16464 KB Output is correct
110 Correct 67 ms 16208 KB Output is correct
111 Correct 75 ms 16476 KB Output is correct
112 Correct 69 ms 16464 KB Output is correct
113 Correct 66 ms 16364 KB Output is correct
114 Correct 66 ms 16460 KB Output is correct
115 Correct 68 ms 16208 KB Output is correct

Subtask #6
0 / 36.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 1624 KB Output is correct
2 Correct 1 ms 1624 KB Output is correct
3 Correct 1 ms 1628 KB Output is correct
4 Correct 1 ms 1628 KB Output is correct
5 Correct 1 ms 1628 KB Output is correct
6 Correct 1 ms 1628 KB Output is correct
7 Correct 1 ms 1628 KB Output is correct
8 Correct 1 ms 1628 KB Output is correct
9 Correct 1 ms 1628 KB Output is correct
10 Correct 1 ms 1628 KB Output is correct
11 Correct 1 ms 1628 KB Output is correct
12 Correct 1 ms 1472 KB Output is correct
13 Correct 2 ms 1884 KB Output is correct
14 Correct 17 ms 6156 KB Output is correct
15 Correct 35 ms 10840 KB Output is correct
16 Correct 58 ms 15208 KB Output is correct
17 Correct 63 ms 15060 KB Output is correct
18 Correct 56 ms 14936 KB Output is correct
19 Correct 63 ms 15168 KB Output is correct
20 Correct 56 ms 15196 KB Output is correct
21 Correct 57 ms 15192 KB Output is correct
22 Correct 63 ms 15216 KB Output is correct
23 Correct 60 ms 15192 KB Output is correct
24 Correct 59 ms 15192 KB Output is correct
25 Correct 62 ms 14940 KB Output is correct
26 Correct 1 ms 1624 KB Output is correct
27 Correct 1 ms 1624 KB Output is correct
28 Correct 2 ms 1884 KB Output is correct
29 Correct 16 ms 6216 KB Output is correct
30 Correct 35 ms 10768 KB Output is correct
31 Correct 64 ms 15196 KB Output is correct
32 Correct 62 ms 15184 KB Output is correct
33 Correct 54 ms 15196 KB Output is correct
34 Correct 56 ms 15192 KB Output is correct
35 Correct 61 ms 15316 KB Output is correct
36 Correct 58 ms 15192 KB Output is correct
37 Correct 58 ms 15192 KB Output is correct
38 Correct 58 ms 15192 KB Output is correct
39 Correct 55 ms 15196 KB Output is correct
40 Correct 59 ms 15252 KB Output is correct
41 Correct 1 ms 1624 KB Output is correct
42 Correct 1 ms 1628 KB Output is correct
43 Correct 1 ms 1628 KB Output is correct
44 Correct 2 ms 1884 KB Output is correct
45 Correct 2 ms 2064 KB Output is correct
46 Correct 2 ms 1884 KB Output is correct
47 Correct 9 ms 3988 KB Output is correct
48 Correct 9 ms 3932 KB Output is correct
49 Correct 18 ms 6236 KB Output is correct
50 Correct 39 ms 10844 KB Output is correct
51 Correct 69 ms 15444 KB Output is correct
52 Correct 60 ms 15440 KB Output is correct
53 Correct 59 ms 15452 KB Output is correct
54 Correct 57 ms 15440 KB Output is correct
55 Correct 57 ms 15452 KB Output is correct
56 Correct 58 ms 15472 KB Output is correct
57 Correct 61 ms 15684 KB Output is correct
58 Correct 66 ms 15452 KB Output is correct
59 Correct 57 ms 15444 KB Output is correct
60 Correct 65 ms 15448 KB Output is correct
61 Correct 57 ms 15588 KB Output is correct
62 Correct 57 ms 15448 KB Output is correct
63 Correct 57 ms 15564 KB Output is correct
64 Correct 57 ms 15452 KB Output is correct
65 Correct 58 ms 15444 KB Output is correct
66 Correct 59 ms 15452 KB Output is correct
67 Correct 61 ms 15440 KB Output is correct
68 Correct 59 ms 15452 KB Output is correct
69 Correct 63 ms 15680 KB Output is correct
70 Correct 61 ms 15432 KB Output is correct
71 Correct 10 ms 3928 KB Output is correct
72 Correct 10 ms 4024 KB Output is correct
73 Correct 10 ms 3952 KB Output is correct
74 Correct 10 ms 3932 KB Output is correct
75 Correct 10 ms 4020 KB Output is correct
76 Correct 21 ms 6432 KB Output is correct
77 Correct 22 ms 6236 KB Output is correct
78 Correct 20 ms 6232 KB Output is correct
79 Correct 23 ms 6236 KB Output is correct
80 Correct 21 ms 6432 KB Output is correct
81 Correct 43 ms 11096 KB Output is correct
82 Correct 42 ms 11096 KB Output is correct
83 Correct 42 ms 11092 KB Output is correct
84 Correct 43 ms 11092 KB Output is correct
85 Correct 48 ms 11096 KB Output is correct
86 Correct 44 ms 11096 KB Output is correct
87 Correct 43 ms 11216 KB Output is correct
88 Correct 45 ms 11312 KB Output is correct
89 Correct 43 ms 11280 KB Output is correct
90 Correct 44 ms 11096 KB Output is correct
91 Correct 69 ms 16264 KB Output is correct
92 Correct 65 ms 16212 KB Output is correct
93 Correct 67 ms 16080 KB Output is correct
94 Correct 67 ms 16216 KB Output is correct
95 Correct 74 ms 16212 KB Output is correct
96 Correct 74 ms 16220 KB Output is correct
97 Correct 78 ms 16216 KB Output is correct
98 Correct 69 ms 16432 KB Output is correct
99 Correct 72 ms 16344 KB Output is correct
100 Correct 79 ms 16212 KB Output is correct
101 Correct 68 ms 16428 KB Output is correct
102 Correct 68 ms 16220 KB Output is correct
103 Correct 68 ms 16212 KB Output is correct
104 Correct 68 ms 16220 KB Output is correct
105 Correct 68 ms 16220 KB Output is correct
106 Correct 77 ms 16212 KB Output is correct
107 Correct 79 ms 16576 KB Output is correct
108 Correct 70 ms 16356 KB Output is correct
109 Correct 75 ms 16464 KB Output is correct
110 Correct 67 ms 16208 KB Output is correct
111 Correct 75 ms 16476 KB Output is correct
112 Correct 69 ms 16464 KB Output is correct
113 Correct 66 ms 16364 KB Output is correct
114 Correct 66 ms 16460 KB Output is correct
115 Correct 68 ms 16208 KB Output is correct
116 Correct 208 ms 3796 KB Output is correct
117 Correct 219 ms 3800 KB Output is correct
118 Correct 1369 ms 5980 KB Output is correct
119 Correct 1551 ms 6032 KB Output is correct
120 Correct 1671 ms 6088 KB Output is correct
121 Correct 4498 ms 8536 KB Output is correct
122 Correct 4578 ms 8572 KB Output is correct
123 Execution timed out 7027 ms 12756 KB Time limit exceeded
124 Halted 0 ms 0 KB -