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Submission #971712

# Submission time Handle Problem Language Result Execution time Memory
971712 2024-04-29T08:04:56 Z Szil Diversity (CEOI21_diversity) C++14
64 / 100
 76 ms 14928 KB 
#include <bits/stdc++.h>
    
using namespace std;
using ll = long long;
    
const int MAXN = 300'001;
const int BLOCK = 650;
    
struct Query {
    int l, r, idx;
    
    bool operator<(Query x) const {
        if (l / BLOCK == x.l / BLOCK) return (l / BLOCK) & 1 ? r > x.r : r < x.r;
        return l < x.l;
    }
};
    
int a[MAXN], b[MAXN], c[BLOCK];
map<int, int> act;
ll ans[MAXN], negyzet[MAXN];

void inc(int v) {
    if (b[v] < BLOCK) {
        c[b[v]]++;
    } else {
        act[b[v]]++;
    }
}

void dec(int v) {
    if (b[v] < BLOCK) {
        c[b[v]]--;
    } else {
        act[b[v]]--;
    }
}

void add(int i) {
    int v = a[i];
    dec(v);
    b[v]++;
    inc(v);
}
    
void remove(int i) {
    int v = a[i];
    dec(v);
    b[v]--;
    inc(v);
}
    
int main() {
    ios::sync_with_stdio(0); cin.tie(0);
    int n, q; cin >> n >> q;
    for (ll i = 1; i <= n; i++) {
        negyzet[i] = negyzet[i-1] + i*i;
    }
    for (int i = 1; i <= n; i++) {
        cin >> a[i];
    }
    vector<Query> qrys(q);
    for (int i = 0; i < q; i++) {
        cin >> qrys[i].l >> qrys[i].r;
        qrys[i].idx = i+1;
    }
    sort(qrys.begin(), qrys.end());
    int l = 1, r = 0;
    for (auto [nl, nr, idx] : qrys) {
        while (r < nr) add(++r);
        while (r > nr) remove(r--);
        while (l < nl) remove(l++);
        while (l > nl) add(--l);
    
        deque<pair<ll, ll>> dq;
        int d = 0;
    
        auto push = [&](int a, int b) {
            if (d) dq.emplace_back(a, b);
            else dq.emplace_front(a, b);
            d ^= 1;
        };
    
    
        for (auto it = act.rbegin(); it != act.rend(); it++) {
            auto [len, cnt] = *it;
            if (cnt == 0) continue;
            if (cnt & 1) {
                push(len, 1);
                cnt--;
            }
            push(len, cnt/2);
            push(len, cnt/2);
        }

        for (int i = BLOCK-1; i >= 1; i--) {
            int len = i, cnt = c[i];
            if (cnt == 0) continue;
            if (cnt & 1) {
                push(len, 1);
                cnt--;
            }
            push(len, cnt/2);
            push(len, cnt/2);
        }
    
        for (auto it = act.begin(); it != act.end(); it++) {
            auto [len, cnt] = *it;
            if (cnt == 0) {
                it = act.erase(it);
                it--;
            }
        }
    
        auto sum_arit = [&](ll start, ll d, ll cnt) {
            return start*cnt + d * (cnt - 1) * cnt / 2;
        };
    
        ll pref = 0;
        int x = nr-nl+1;
        for (auto [len, cnt] : dq) {
            ans[idx] += cnt * (len*(len+1)/2);
            ans[idx] += cnt * (len*(x-len));
            ans[idx] += (x - len) * sum_arit(pref, len, cnt);
            ans[idx] -= pref * pref * cnt;
            ans[idx] -= pref * sum_arit(0, 2*len, cnt);
            ans[idx] -= len * len * negyzet[cnt-1];
            pref += len*cnt;
        }
    }
    
    for (int i = 1; i <= q; i++) {
        cout << ans[i] << "\n";
    }
    return 0;
}

Compilation message

diversity.cpp: In function 'int main()':
diversity.cpp:68:15: warning: structured bindings only available with '-std=c++17' or '-std=gnu++17'
   68 |     for (auto [nl, nr, idx] : qrys) {
      |               ^
diversity.cpp:85:18: warning: structured bindings only available with '-std=c++17' or '-std=gnu++17'
   85 |             auto [len, cnt] = *it;
      |                  ^
diversity.cpp:107:18: warning: structured bindings only available with '-std=c++17' or '-std=gnu++17'
  107 |             auto [len, cnt] = *it;
      |                  ^
diversity.cpp:120:19: warning: structured bindings only available with '-std=c++17' or '-std=gnu++17'
  120 |         for (auto [len, cnt] : dq) {
      |                   ^

Subtask #1
4.0 / 4.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 2392 KB Output is correct
2 Correct 0 ms 2396 KB Output is correct
3 Correct 1 ms 2392 KB Output is correct
4 Correct 1 ms 2392 KB Output is correct
5 Correct 1 ms 2396 KB Output is correct
6 Correct 1 ms 2396 KB Output is correct
7 Correct 0 ms 2396 KB Output is correct
8 Correct 1 ms 2396 KB Output is correct
9 Correct 1 ms 2396 KB Output is correct
10 Correct 1 ms 2396 KB Output is correct

Subtask #2
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 2392 KB Output is correct
2 Correct 1 ms 2392 KB Output is correct
3 Correct 2 ms 2652 KB Output is correct
4 Correct 18 ms 5980 KB Output is correct
5 Correct 42 ms 8528 KB Output is correct
6 Correct 65 ms 10364 KB Output is correct
7 Correct 76 ms 14928 KB Output is correct
8 Correct 61 ms 9808 KB Output is correct
9 Correct 61 ms 9812 KB Output is correct
10 Correct 65 ms 11936 KB Output is correct
11 Correct 66 ms 10832 KB Output is correct
12 Correct 65 ms 9812 KB Output is correct
13 Correct 62 ms 9552 KB Output is correct
14 Correct 67 ms 10928 KB Output is correct
15 Correct 63 ms 10556 KB Output is correct

Subtask #3
8.0 / 8.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 2392 KB Output is correct
2 Correct 1 ms 2392 KB Output is correct
3 Correct 2 ms 2652 KB Output is correct
4 Correct 18 ms 5980 KB Output is correct
5 Correct 42 ms 8528 KB Output is correct
6 Correct 65 ms 10364 KB Output is correct
7 Correct 76 ms 14928 KB Output is correct
8 Correct 61 ms 9808 KB Output is correct
9 Correct 61 ms 9812 KB Output is correct
10 Correct 65 ms 11936 KB Output is correct
11 Correct 66 ms 10832 KB Output is correct
12 Correct 65 ms 9812 KB Output is correct
13 Correct 62 ms 9552 KB Output is correct
14 Correct 67 ms 10928 KB Output is correct
15 Correct 63 ms 10556 KB Output is correct
16 Correct 1 ms 2396 KB Output is correct
17 Correct 1 ms 2396 KB Output is correct
18 Correct 1 ms 2396 KB Output is correct
19 Correct 18 ms 5372 KB Output is correct
20 Correct 37 ms 6328 KB Output is correct
21 Correct 62 ms 10000 KB Output is correct
22 Correct 59 ms 9252 KB Output is correct
23 Correct 69 ms 9804 KB Output is correct
24 Correct 61 ms 8980 KB Output is correct
25 Correct 58 ms 9300 KB Output is correct
26 Correct 62 ms 9344 KB Output is correct
27 Correct 64 ms 9568 KB Output is correct
28 Correct 64 ms 11088 KB Output is correct
29 Correct 67 ms 9268 KB Output is correct
30 Correct 58 ms 9372 KB Output is correct

Subtask #4
16.0 / 16.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 2392 KB Output is correct
2 Correct 1 ms 2392 KB Output is correct
3 Correct 2 ms 2652 KB Output is correct
4 Correct 18 ms 5980 KB Output is correct
5 Correct 42 ms 8528 KB Output is correct
6 Correct 65 ms 10364 KB Output is correct
7 Correct 76 ms 14928 KB Output is correct
8 Correct 61 ms 9808 KB Output is correct
9 Correct 61 ms 9812 KB Output is correct
10 Correct 65 ms 11936 KB Output is correct
11 Correct 66 ms 10832 KB Output is correct
12 Correct 65 ms 9812 KB Output is correct
13 Correct 62 ms 9552 KB Output is correct
14 Correct 67 ms 10928 KB Output is correct
15 Correct 63 ms 10556 KB Output is correct
16 Correct 1 ms 2396 KB Output is correct
17 Correct 1 ms 2396 KB Output is correct
18 Correct 1 ms 2396 KB Output is correct
19 Correct 18 ms 5372 KB Output is correct
20 Correct 37 ms 6328 KB Output is correct
21 Correct 62 ms 10000 KB Output is correct
22 Correct 59 ms 9252 KB Output is correct
23 Correct 69 ms 9804 KB Output is correct
24 Correct 61 ms 8980 KB Output is correct
25 Correct 58 ms 9300 KB Output is correct
26 Correct 62 ms 9344 KB Output is correct
27 Correct 64 ms 9568 KB Output is correct
28 Correct 64 ms 11088 KB Output is correct
29 Correct 67 ms 9268 KB Output is correct
30 Correct 58 ms 9372 KB Output is correct
31 Correct 1 ms 2392 KB Output is correct
32 Correct 1 ms 2396 KB Output is correct
33 Correct 1 ms 2396 KB Output is correct
34 Correct 1 ms 2396 KB Output is correct
35 Correct 1 ms 2396 KB Output is correct
36 Correct 1 ms 2396 KB Output is correct
37 Correct 3 ms 4700 KB Output is correct
38 Correct 4 ms 4700 KB Output is correct
39 Correct 6 ms 4700 KB Output is correct
40 Correct 13 ms 4956 KB Output is correct
41 Correct 22 ms 7512 KB Output is correct
42 Correct 20 ms 7516 KB Output is correct
43 Correct 21 ms 7536 KB Output is correct
44 Correct 21 ms 7516 KB Output is correct
45 Correct 22 ms 7560 KB Output is correct
46 Correct 23 ms 7516 KB Output is correct
47 Correct 20 ms 7500 KB Output is correct
48 Correct 21 ms 7516 KB Output is correct
49 Correct 24 ms 7512 KB Output is correct
50 Correct 22 ms 7516 KB Output is correct
51 Correct 21 ms 7516 KB Output is correct
52 Correct 21 ms 7512 KB Output is correct
53 Correct 21 ms 7400 KB Output is correct
54 Correct 22 ms 7516 KB Output is correct
55 Correct 20 ms 7532 KB Output is correct
56 Correct 20 ms 7516 KB Output is correct
57 Correct 20 ms 7512 KB Output is correct
58 Correct 20 ms 7516 KB Output is correct
59 Correct 21 ms 7508 KB Output is correct
60 Correct 21 ms 7516 KB Output is correct

Subtask #5
26.0 / 26.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 2392 KB Output is correct
2 Correct 0 ms 2396 KB Output is correct
3 Correct 1 ms 2392 KB Output is correct
4 Correct 1 ms 2392 KB Output is correct
5 Correct 1 ms 2396 KB Output is correct
6 Correct 1 ms 2396 KB Output is correct
7 Correct 0 ms 2396 KB Output is correct
8 Correct 1 ms 2396 KB Output is correct
9 Correct 1 ms 2396 KB Output is correct
10 Correct 1 ms 2396 KB Output is correct
11 Correct 1 ms 2392 KB Output is correct
12 Correct 1 ms 2392 KB Output is correct
13 Correct 2 ms 2652 KB Output is correct
14 Correct 18 ms 5980 KB Output is correct
15 Correct 42 ms 8528 KB Output is correct
16 Correct 65 ms 10364 KB Output is correct
17 Correct 76 ms 14928 KB Output is correct
18 Correct 61 ms 9808 KB Output is correct
19 Correct 61 ms 9812 KB Output is correct
20 Correct 65 ms 11936 KB Output is correct
21 Correct 66 ms 10832 KB Output is correct
22 Correct 65 ms 9812 KB Output is correct
23 Correct 62 ms 9552 KB Output is correct
24 Correct 67 ms 10928 KB Output is correct
25 Correct 63 ms 10556 KB Output is correct
26 Correct 1 ms 2396 KB Output is correct
27 Correct 1 ms 2396 KB Output is correct
28 Correct 1 ms 2396 KB Output is correct
29 Correct 18 ms 5372 KB Output is correct
30 Correct 37 ms 6328 KB Output is correct
31 Correct 62 ms 10000 KB Output is correct
32 Correct 59 ms 9252 KB Output is correct
33 Correct 69 ms 9804 KB Output is correct
34 Correct 61 ms 8980 KB Output is correct
35 Correct 58 ms 9300 KB Output is correct
36 Correct 62 ms 9344 KB Output is correct
37 Correct 64 ms 9568 KB Output is correct
38 Correct 64 ms 11088 KB Output is correct
39 Correct 67 ms 9268 KB Output is correct
40 Correct 58 ms 9372 KB Output is correct
41 Correct 1 ms 2392 KB Output is correct
42 Correct 1 ms 2396 KB Output is correct
43 Correct 1 ms 2396 KB Output is correct
44 Correct 1 ms 2396 KB Output is correct
45 Correct 1 ms 2396 KB Output is correct
46 Correct 1 ms 2396 KB Output is correct
47 Correct 3 ms 4700 KB Output is correct
48 Correct 4 ms 4700 KB Output is correct
49 Correct 6 ms 4700 KB Output is correct
50 Correct 13 ms 4956 KB Output is correct
51 Correct 22 ms 7512 KB Output is correct
52 Correct 20 ms 7516 KB Output is correct
53 Correct 21 ms 7536 KB Output is correct
54 Correct 21 ms 7516 KB Output is correct
55 Correct 22 ms 7560 KB Output is correct
56 Correct 23 ms 7516 KB Output is correct
57 Correct 20 ms 7500 KB Output is correct
58 Correct 21 ms 7516 KB Output is correct
59 Correct 24 ms 7512 KB Output is correct
60 Correct 22 ms 7516 KB Output is correct
61 Correct 21 ms 7516 KB Output is correct
62 Correct 21 ms 7512 KB Output is correct
63 Correct 21 ms 7400 KB Output is correct
64 Correct 22 ms 7516 KB Output is correct
65 Correct 20 ms 7532 KB Output is correct
66 Correct 20 ms 7516 KB Output is correct
67 Correct 20 ms 7512 KB Output is correct
68 Correct 20 ms 7516 KB Output is correct
69 Correct 21 ms 7508 KB Output is correct
70 Correct 21 ms 7516 KB Output is correct
71 Correct 4 ms 4700 KB Output is correct
72 Correct 4 ms 4528 KB Output is correct
73 Correct 4 ms 4744 KB Output is correct
74 Correct 4 ms 4700 KB Output is correct
75 Correct 4 ms 4700 KB Output is correct
76 Correct 7 ms 4700 KB Output is correct
77 Correct 7 ms 4700 KB Output is correct
78 Correct 6 ms 4736 KB Output is correct
79 Correct 7 ms 4700 KB Output is correct
80 Correct 6 ms 4700 KB Output is correct
81 Correct 13 ms 4956 KB Output is correct
82 Correct 12 ms 4964 KB Output is correct
83 Correct 15 ms 4956 KB Output is correct
84 Correct 12 ms 4952 KB Output is correct
85 Correct 12 ms 4956 KB Output is correct
86 Correct 14 ms 4956 KB Output is correct
87 Correct 14 ms 5208 KB Output is correct
88 Correct 14 ms 4956 KB Output is correct
89 Correct 14 ms 5284 KB Output is correct
90 Correct 13 ms 4968 KB Output is correct
91 Correct 19 ms 7272 KB Output is correct
92 Correct 20 ms 7268 KB Output is correct
93 Correct 21 ms 7272 KB Output is correct
94 Correct 24 ms 7260 KB Output is correct
95 Correct 25 ms 7260 KB Output is correct
96 Correct 23 ms 7260 KB Output is correct
97 Correct 22 ms 7260 KB Output is correct
98 Correct 23 ms 7256 KB Output is correct
99 Correct 22 ms 7516 KB Output is correct
100 Correct 23 ms 7260 KB Output is correct
101 Correct 22 ms 7248 KB Output is correct
102 Correct 30 ms 7260 KB Output is correct
103 Correct 23 ms 7260 KB Output is correct
104 Correct 24 ms 7256 KB Output is correct
105 Correct 25 ms 7260 KB Output is correct
106 Correct 26 ms 7420 KB Output is correct
107 Correct 22 ms 7260 KB Output is correct
108 Correct 22 ms 7260 KB Output is correct
109 Correct 22 ms 7260 KB Output is correct
110 Correct 22 ms 7252 KB Output is correct
111 Correct 22 ms 7256 KB Output is correct
112 Correct 21 ms 7256 KB Output is correct
113 Correct 23 ms 7312 KB Output is correct
114 Correct 22 ms 7400 KB Output is correct
115 Correct 22 ms 7260 KB Output is correct

Subtask #6
0 / 36.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 2392 KB Output is correct
2 Correct 0 ms 2396 KB Output is correct
3 Correct 1 ms 2392 KB Output is correct
4 Correct 1 ms 2392 KB Output is correct
5 Correct 1 ms 2396 KB Output is correct
6 Correct 1 ms 2396 KB Output is correct
7 Correct 0 ms 2396 KB Output is correct
8 Correct 1 ms 2396 KB Output is correct
9 Correct 1 ms 2396 KB Output is correct
10 Correct 1 ms 2396 KB Output is correct
11 Correct 1 ms 2392 KB Output is correct
12 Correct 1 ms 2392 KB Output is correct
13 Correct 2 ms 2652 KB Output is correct
14 Correct 18 ms 5980 KB Output is correct
15 Correct 42 ms 8528 KB Output is correct
16 Correct 65 ms 10364 KB Output is correct
17 Correct 76 ms 14928 KB Output is correct
18 Correct 61 ms 9808 KB Output is correct
19 Correct 61 ms 9812 KB Output is correct
20 Correct 65 ms 11936 KB Output is correct
21 Correct 66 ms 10832 KB Output is correct
22 Correct 65 ms 9812 KB Output is correct
23 Correct 62 ms 9552 KB Output is correct
24 Correct 67 ms 10928 KB Output is correct
25 Correct 63 ms 10556 KB Output is correct
26 Correct 1 ms 2396 KB Output is correct
27 Correct 1 ms 2396 KB Output is correct
28 Correct 1 ms 2396 KB Output is correct
29 Correct 18 ms 5372 KB Output is correct
30 Correct 37 ms 6328 KB Output is correct
31 Correct 62 ms 10000 KB Output is correct
32 Correct 59 ms 9252 KB Output is correct
33 Correct 69 ms 9804 KB Output is correct
34 Correct 61 ms 8980 KB Output is correct
35 Correct 58 ms 9300 KB Output is correct
36 Correct 62 ms 9344 KB Output is correct
37 Correct 64 ms 9568 KB Output is correct
38 Correct 64 ms 11088 KB Output is correct
39 Correct 67 ms 9268 KB Output is correct
40 Correct 58 ms 9372 KB Output is correct
41 Correct 1 ms 2392 KB Output is correct
42 Correct 1 ms 2396 KB Output is correct
43 Correct 1 ms 2396 KB Output is correct
44 Correct 1 ms 2396 KB Output is correct
45 Correct 1 ms 2396 KB Output is correct
46 Correct 1 ms 2396 KB Output is correct
47 Correct 3 ms 4700 KB Output is correct
48 Correct 4 ms 4700 KB Output is correct
49 Correct 6 ms 4700 KB Output is correct
50 Correct 13 ms 4956 KB Output is correct
51 Correct 22 ms 7512 KB Output is correct
52 Correct 20 ms 7516 KB Output is correct
53 Correct 21 ms 7536 KB Output is correct
54 Correct 21 ms 7516 KB Output is correct
55 Correct 22 ms 7560 KB Output is correct
56 Correct 23 ms 7516 KB Output is correct
57 Correct 20 ms 7500 KB Output is correct
58 Correct 21 ms 7516 KB Output is correct
59 Correct 24 ms 7512 KB Output is correct
60 Correct 22 ms 7516 KB Output is correct
61 Correct 21 ms 7516 KB Output is correct
62 Correct 21 ms 7512 KB Output is correct
63 Correct 21 ms 7400 KB Output is correct
64 Correct 22 ms 7516 KB Output is correct
65 Correct 20 ms 7532 KB Output is correct
66 Correct 20 ms 7516 KB Output is correct
67 Correct 20 ms 7512 KB Output is correct
68 Correct 20 ms 7516 KB Output is correct
69 Correct 21 ms 7508 KB Output is correct
70 Correct 21 ms 7516 KB Output is correct
71 Correct 4 ms 4700 KB Output is correct
72 Correct 4 ms 4528 KB Output is correct
73 Correct 4 ms 4744 KB Output is correct
74 Correct 4 ms 4700 KB Output is correct
75 Correct 4 ms 4700 KB Output is correct
76 Correct 7 ms 4700 KB Output is correct
77 Correct 7 ms 4700 KB Output is correct
78 Correct 6 ms 4736 KB Output is correct
79 Correct 7 ms 4700 KB Output is correct
80 Correct 6 ms 4700 KB Output is correct
81 Correct 13 ms 4956 KB Output is correct
82 Correct 12 ms 4964 KB Output is correct
83 Correct 15 ms 4956 KB Output is correct
84 Correct 12 ms 4952 KB Output is correct
85 Correct 12 ms 4956 KB Output is correct
86 Correct 14 ms 4956 KB Output is correct
87 Correct 14 ms 5208 KB Output is correct
88 Correct 14 ms 4956 KB Output is correct
89 Correct 14 ms 5284 KB Output is correct
90 Correct 13 ms 4968 KB Output is correct
91 Correct 19 ms 7272 KB Output is correct
92 Correct 20 ms 7268 KB Output is correct
93 Correct 21 ms 7272 KB Output is correct
94 Correct 24 ms 7260 KB Output is correct
95 Correct 25 ms 7260 KB Output is correct
96 Correct 23 ms 7260 KB Output is correct
97 Correct 22 ms 7260 KB Output is correct
98 Correct 23 ms 7256 KB Output is correct
99 Correct 22 ms 7516 KB Output is correct
100 Correct 23 ms 7260 KB Output is correct
101 Correct 22 ms 7248 KB Output is correct
102 Correct 30 ms 7260 KB Output is correct
103 Correct 23 ms 7260 KB Output is correct
104 Correct 24 ms 7256 KB Output is correct
105 Correct 25 ms 7260 KB Output is correct
106 Correct 26 ms 7420 KB Output is correct
107 Correct 22 ms 7260 KB Output is correct
108 Correct 22 ms 7260 KB Output is correct
109 Correct 22 ms 7260 KB Output is correct
110 Correct 22 ms 7252 KB Output is correct
111 Correct 22 ms 7256 KB Output is correct
112 Correct 21 ms 7256 KB Output is correct
113 Correct 23 ms 7312 KB Output is correct
114 Correct 22 ms 7400 KB Output is correct
115 Correct 22 ms 7260 KB Output is correct
116 Runtime error 26 ms 6744 KB Execution killed with signal 11
117 Halted 0 ms 0 KB -