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Submission #1106445

# Submission time Handle Problem Language Result Execution time Memory
1106445 2024-10-30T10:50:09 Z atom Izbori (COCI22_izbori) C++17
110 / 110
 801 ms 5212 KB 
#include "bits/stdc++.h"
// @JASPER'S BOILERPLATE
using namespace std;
using ll = long long;

#ifdef JASPER
#include "debug.h"
#else
#define debug(...) 166
#endif

const int N = 2e5 + 5;
const int B = 450;
int a[N];
int n;

bool sub12() {
    return (n <= 2000);
}

bool sub3() {
    for (int i = 1; i <= n; ++i)
        if (a[i] > 2) return false;
    return true;
}

template <typename T>
struct Fenwick {
    vector <int> f;
    int n;
    Fenwick(int _n) {
        f.resize(_n + 5);
        n = _n;
    }

    void upd(int x, int val) {
        for (; x <= n; x += x & -x)
            f[x] += val;
    }

    int get(int x) {
        int ans = 0;
        for (; x > 0; x -= x & -x)
            ans += f[x];
        return ans;
    }
};

signed main() {
    cin.tie(0) -> sync_with_stdio(0);
    
    #ifdef JASPER
        freopen("in2", "r", stdin);
    #endif

    cin >> n;
    for (int i = 1; i <= n; ++i)
        cin >> a[i];

    vector <int> vals;
    for (int i = 1; i <= n; ++i)
        vals.push_back(a[i]);

    sort(vals.begin(), vals.end());
    vals.resize(unique(vals.begin(), vals.end()) - vals.begin());

    vector <int> cnt(n + 1, 0);
    for (int i = 1; i <= n; ++i) {
        a[i] = (int) (lower_bound(vals.begin(), vals.end(), a[i]) - vals.begin() + 1);
        cnt[a[i]]++;
    }

    vector <bool> heavy(n + 1, false);
    for (int i = 1; i <= n; ++i) {
        if (cnt[i] >= B)
            heavy[i] = true;
    }

    ll ans = 0;
    // processing light queries: all elements appear less than sqrt(n)
    cnt.assign(n + 1, 0);
    for (int i = 1; i <= n; ++i) {
        int mx = 0;
        for (int j = i; j <= n && (j - i + 1) < 2 * B; ++j) {
            if (!heavy[a[j]]) {
                cnt[a[j]]++;
                if (cnt[a[j]] > mx) mx = cnt[a[j]];
                if (2 * mx > (j - i + 1)) {
                    ++ans;
                }
            }
        }

        for (int j = i; j <= n && (j - i + 1) < 2 * B; ++j)
            if (!heavy[a[j]]) cnt[a[j]]--;
    }

    // processing heavy queries: all elements appear at least sqrt(n)
    for (int x = 1; x <= n; ++x) {
        if (heavy[x]) {
            auto get = [&] (int _x) { debug(_x); return _x + n; };

            vector <int> f(2 * n + 5, 0);
            int sum = 0;
            int prf = 0;
            f[get(prf)]++;
            for (int i = 1; i <= n; ++i) {
                prf += (a[i] == x? 1 : -1);
                if (a[i] == x)
                    sum += f[get(prf - 1)];
                else    
                    sum -= f[get(prf)];
                ans += sum;
                f[get(prf)]++;
            }
        }
    }

    cout << ans << "\n";

    
    return 0;
}

Compilation message

Main.cpp: In lambda function:
Main.cpp:9:20: warning: statement has no effect [-Wunused-value]
    9 | #define debug(...) 166
      |                    ^~~
Main.cpp:101:39: note: in expansion of macro 'debug'
  101 |             auto get = [&] (int _x) { debug(_x); return _x + n; };
      |                                       ^~~~~

Subtask #1
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 336 KB Output is correct
2 Correct 1 ms 336 KB Output is correct
3 Correct 1 ms 336 KB Output is correct
4 Correct 1 ms 336 KB Output is correct
5 Correct 1 ms 336 KB Output is correct
6 Correct 1 ms 336 KB Output is correct

Subtask #2
15.0 / 15.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 336 KB Output is correct
2 Correct 1 ms 336 KB Output is correct
3 Correct 1 ms 336 KB Output is correct
4 Correct 1 ms 336 KB Output is correct
5 Correct 1 ms 336 KB Output is correct
6 Correct 1 ms 336 KB Output is correct
7 Correct 2 ms 504 KB Output is correct
8 Correct 1 ms 336 KB Output is correct
9 Correct 5 ms 336 KB Output is correct
10 Correct 5 ms 504 KB Output is correct
11 Correct 5 ms 336 KB Output is correct
12 Correct 5 ms 500 KB Output is correct
13 Correct 5 ms 336 KB Output is correct
14 Correct 6 ms 336 KB Output is correct
15 Correct 5 ms 336 KB Output is correct
16 Correct 5 ms 336 KB Output is correct
17 Correct 3 ms 336 KB Output is correct

Subtask #3
15.0 / 15.0

# Verdict Execution time Memory Grader output
1 Correct 252 ms 3012 KB Output is correct
2 Correct 336 ms 3780 KB Output is correct
3 Correct 188 ms 2504 KB Output is correct
4 Correct 337 ms 4036 KB Output is correct
5 Correct 350 ms 4096 KB Output is correct
6 Correct 375 ms 4480 KB Output is correct
7 Correct 388 ms 4292 KB Output is correct
8 Correct 415 ms 4304 KB Output is correct
9 Correct 383 ms 4292 KB Output is correct
10 Correct 371 ms 4480 KB Output is correct
11 Correct 377 ms 4472 KB Output is correct

Subtask #4
70.0 / 70.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 336 KB Output is correct
2 Correct 1 ms 336 KB Output is correct
3 Correct 1 ms 336 KB Output is correct
4 Correct 1 ms 336 KB Output is correct
5 Correct 1 ms 336 KB Output is correct
6 Correct 1 ms 336 KB Output is correct
7 Correct 2 ms 504 KB Output is correct
8 Correct 1 ms 336 KB Output is correct
9 Correct 5 ms 336 KB Output is correct
10 Correct 5 ms 504 KB Output is correct
11 Correct 5 ms 336 KB Output is correct
12 Correct 5 ms 500 KB Output is correct
13 Correct 5 ms 336 KB Output is correct
14 Correct 6 ms 336 KB Output is correct
15 Correct 5 ms 336 KB Output is correct
16 Correct 5 ms 336 KB Output is correct
17 Correct 3 ms 336 KB Output is correct
18 Correct 252 ms 3012 KB Output is correct
19 Correct 336 ms 3780 KB Output is correct
20 Correct 188 ms 2504 KB Output is correct
21 Correct 337 ms 4036 KB Output is correct
22 Correct 350 ms 4096 KB Output is correct
23 Correct 375 ms 4480 KB Output is correct
24 Correct 388 ms 4292 KB Output is correct
25 Correct 415 ms 4304 KB Output is correct
26 Correct 383 ms 4292 KB Output is correct
27 Correct 371 ms 4480 KB Output is correct
28 Correct 377 ms 4472 KB Output is correct
29 Correct 384 ms 4484 KB Output is correct
30 Correct 137 ms 980 KB Output is correct
31 Correct 293 ms 1656 KB Output is correct
32 Correct 801 ms 2764 KB Output is correct
33 Correct 308 ms 1488 KB Output is correct
34 Correct 331 ms 1500 KB Output is correct
35 Correct 205 ms 1236 KB Output is correct
36 Correct 118 ms 860 KB Output is correct
37 Correct 145 ms 1148 KB Output is correct
38 Correct 408 ms 4288 KB Output is correct
39 Correct 384 ms 4292 KB Output is correct
40 Correct 383 ms 4292 KB Output is correct
41 Correct 376 ms 4308 KB Output is correct
42 Correct 388 ms 4480 KB Output is correct
43 Correct 394 ms 4292 KB Output is correct
44 Correct 388 ms 4292 KB Output is correct
45 Correct 386 ms 4484 KB Output is correct
46 Correct 396 ms 4476 KB Output is correct
47 Correct 414 ms 4476 KB Output is correct
48 Correct 464 ms 4292 KB Output is correct
49 Correct 488 ms 5168 KB Output is correct
50 Correct 423 ms 5052 KB Output is correct
51 Correct 411 ms 5044 KB Output is correct
52 Correct 557 ms 5212 KB Output is correct
53 Correct 535 ms 5208 KB Output is correct
54 Correct 456 ms 5060 KB Output is correct