oj.uz

Submission #928327

# Submission time Handle Problem Language Result Execution time Memory
928327 2024-02-16T08:26:26 Z boris_mihov Port Facility (JOI17_port_facility) C++17
10 / 100
 64 ms 134484 KB 
#include <algorithm>
#include <iostream>
#include <numeric>
#include <cassert>
#include <vector>
#include <stack>
#include <set>

typedef long long llong;
const int MAXN = 1e6 + 10;
const int MOD  = 1e9 + 7;
const int INF  = 1e9;

int n;
struct Fenwick
{
    int tree[2 * MAXN];
    void update(int pos, int val)
    {
        for (int idx = pos ; idx <= 2 * n ; idx += idx & (-idx))
        {
            tree[idx] += val;
        }
    }

    int query(int pos)
    {
        int res = 0;
        for (int idx = pos ; idx > 0 ; idx -= idx & (-idx))
        {
            res += tree[idx];
        }

        return res;
    }
};

int a[MAXN];
int b[MAXN];
int cnt[MAXN];
int minA[MAXN];
int maxB[MAXN];
int perm[MAXN];
std::set <int> s;
int prefix[2 * MAXN];
std::pair <int,int> toSort[MAXN];
std::vector <std::pair <int,int>> queries[MAXN];
Fenwick tree;

int vis[MAXN];
std::vector <int> g[MAXN];
bool dfs(int node)
{
    for (const int &u : g[node])
    {
        if (vis[u] == vis[node])
        {
            return false;
        }

        if (vis[u] == 0)
        {
            vis[u] = 3 - vis[node];
            if (!dfs(u)) return false;
        }
    }

    return true;
}

void solve()
{
    std::sort(toSort + 1, toSort + 1 + n);
    for (int i = 1 ; i <= n ; ++i)
    {
        a[i] = toSort[i].first;
        b[i] = toSort[i].second;
        prefix[a[i]]++;
    }

    s.insert(0);
    for (int i = 1 ; i <= n ; ++i)
    {
        auto it = std::prev(s.upper_bound(b[i]));
        maxB[i] = *it;
        s.insert(b[i]);
    }

    std::iota(perm + 1, perm + 1 + n, 1);
    std::sort(perm + 1, perm + 1 + n, [&](int x, int y)
    {
        return b[x] > b[y];
    });

    s.clear();
    s.insert(2 * n + 1);
    for (int i = 1 ; i <= n ; ++i)
    {
        auto it = s.upper_bound(a[perm[i]]);
        minA[perm[i]] = *it;
        s.insert(a[perm[i]]);
    }

    for (int i = 2 ; i < n ; ++i)
    {
        if (maxB[i] > minA[i])
        {
            std::cout << 0 << '\n';
            return;
        }
    }

    for (int i = 1 ; i <= 2 * n ; ++i)
    {
        prefix[i] += prefix[i - 1];
    }

    for (int i = 1 ; i <= n ; ++i)
    {
        queries[i + 1].push_back({b[i], i});
        queries[prefix[b[i]] + 1].push_back({b[i], -i});
    }

    for (int i = n ; i >= 1 ; --i)
    {
        tree.update(b[i], 1);
        for (const auto &[biggerThan, idx] : queries[i])
        {
            int curr = tree.query(2 * n) - tree.query(biggerThan);
            if (idx > 0) cnt[idx] += curr;
            else cnt[-idx] -= curr;
        }
    }

    int sum = 0;
    // for (int i = 1 ; i <= n ; ++i)
    // {
    //     sum += cnt[i];
    // }

    for (int i = 1 ; i <= n ; ++i)
    {
        for (int j = i + 1 ; j <= n ; ++j)
        {
            if (a[j] < b[i] && b[i] < b[j])
            {
                g[i].push_back(j);
                g[j].push_back(i);
                // sum++;
            }
        }
    }

    int compCnt = 0;
    for (int i = 1 ; i <= n ; ++i)
    {
        if (!vis[i])
        {
            vis[i] = 1;
            assert (dfs(i));
            compCnt++;
        }
    }

    int ans = 1;
    assert(sum < n);
    for (int i = 0 ; i < compCnt ; ++i)
    {
        ans <<= 1;
        if (ans >= MOD) ans -= MOD;
    }

    std::cout << ans << '\n';
}

void input()
{
    std::cin >> n;
    for (int i = 1 ; i <= n ; ++i)
    {
        std::cin >> toSort[i].first >> toSort[i].second;
    }
}

void fastIOI()
{
    std::ios_base :: sync_with_stdio(0);
    std::cout.tie(nullptr);
    std::cin.tie(nullptr);
}

int main()
{
    fastIOI();
    input();
    solve();

    return 0;
}

Subtask #1
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 14 ms 66140 KB Output is correct
2 Correct 13 ms 66136 KB Output is correct
3 Correct 14 ms 66140 KB Output is correct
4 Correct 13 ms 66200 KB Output is correct
5 Correct 13 ms 66136 KB Output is correct
6 Correct 15 ms 66396 KB Output is correct
7 Correct 14 ms 66140 KB Output is correct
8 Correct 13 ms 66140 KB Output is correct
9 Correct 13 ms 66140 KB Output is correct
10 Correct 13 ms 66264 KB Output is correct
11 Correct 13 ms 62044 KB Output is correct
12 Correct 13 ms 62172 KB Output is correct
13 Correct 12 ms 62044 KB Output is correct
14 Correct 13 ms 66292 KB Output is correct
15 Correct 14 ms 66140 KB Output is correct
16 Correct 14 ms 62044 KB Output is correct
17 Correct 13 ms 66552 KB Output is correct
18 Correct 13 ms 66140 KB Output is correct
19 Correct 13 ms 64092 KB Output is correct
20 Correct 13 ms 66140 KB Output is correct
21 Correct 13 ms 66140 KB Output is correct
22 Correct 13 ms 66140 KB Output is correct
23 Correct 13 ms 66192 KB Output is correct
24 Correct 13 ms 62044 KB Output is correct

Subtask #2
0 / 12.0

# Verdict Execution time Memory Grader output
1 Correct 14 ms 66140 KB Output is correct
2 Correct 13 ms 66136 KB Output is correct
3 Correct 14 ms 66140 KB Output is correct
4 Correct 13 ms 66200 KB Output is correct
5 Correct 13 ms 66136 KB Output is correct
6 Correct 15 ms 66396 KB Output is correct
7 Correct 14 ms 66140 KB Output is correct
8 Correct 13 ms 66140 KB Output is correct
9 Correct 13 ms 66140 KB Output is correct
10 Correct 13 ms 66264 KB Output is correct
11 Correct 13 ms 62044 KB Output is correct
12 Correct 13 ms 62172 KB Output is correct
13 Correct 12 ms 62044 KB Output is correct
14 Correct 13 ms 66292 KB Output is correct
15 Correct 14 ms 66140 KB Output is correct
16 Correct 14 ms 62044 KB Output is correct
17 Correct 13 ms 66552 KB Output is correct
18 Correct 13 ms 66140 KB Output is correct
19 Correct 13 ms 64092 KB Output is correct
20 Correct 13 ms 66140 KB Output is correct
21 Correct 13 ms 66140 KB Output is correct
22 Correct 13 ms 66140 KB Output is correct
23 Correct 13 ms 66192 KB Output is correct
24 Correct 13 ms 62044 KB Output is correct
25 Correct 16 ms 66652 KB Output is correct
26 Correct 17 ms 66648 KB Output is correct
27 Correct 19 ms 66652 KB Output is correct
28 Correct 19 ms 66908 KB Output is correct
29 Correct 16 ms 66652 KB Output is correct
30 Correct 21 ms 66956 KB Output is correct
31 Correct 17 ms 66820 KB Output is correct
32 Correct 17 ms 66652 KB Output is correct
33 Correct 13 ms 62044 KB Output is correct
34 Correct 13 ms 62044 KB Output is correct
35 Correct 16 ms 66392 KB Output is correct
36 Correct 15 ms 66396 KB Output is correct
37 Correct 13 ms 62176 KB Output is correct
38 Correct 13 ms 62044 KB Output is correct
39 Correct 15 ms 66392 KB Output is correct
40 Correct 15 ms 66228 KB Output is correct
41 Correct 27 ms 74688 KB Output is correct
42 Correct 27 ms 74588 KB Output is correct
43 Runtime error 64 ms 134484 KB Execution killed with signal 6
44 Halted 0 ms 0 KB -

Subtask #3
0 / 56.0

# Verdict Execution time Memory Grader output
1 Correct 14 ms 66140 KB Output is correct
2 Correct 13 ms 66136 KB Output is correct
3 Correct 14 ms 66140 KB Output is correct
4 Correct 13 ms 66200 KB Output is correct
5 Correct 13 ms 66136 KB Output is correct
6 Correct 15 ms 66396 KB Output is correct
7 Correct 14 ms 66140 KB Output is correct
8 Correct 13 ms 66140 KB Output is correct
9 Correct 13 ms 66140 KB Output is correct
10 Correct 13 ms 66264 KB Output is correct
11 Correct 13 ms 62044 KB Output is correct
12 Correct 13 ms 62172 KB Output is correct
13 Correct 12 ms 62044 KB Output is correct
14 Correct 13 ms 66292 KB Output is correct
15 Correct 14 ms 66140 KB Output is correct
16 Correct 14 ms 62044 KB Output is correct
17 Correct 13 ms 66552 KB Output is correct
18 Correct 13 ms 66140 KB Output is correct
19 Correct 13 ms 64092 KB Output is correct
20 Correct 13 ms 66140 KB Output is correct
21 Correct 13 ms 66140 KB Output is correct
22 Correct 13 ms 66140 KB Output is correct
23 Correct 13 ms 66192 KB Output is correct
24 Correct 13 ms 62044 KB Output is correct
25 Correct 16 ms 66652 KB Output is correct
26 Correct 17 ms 66648 KB Output is correct
27 Correct 19 ms 66652 KB Output is correct
28 Correct 19 ms 66908 KB Output is correct
29 Correct 16 ms 66652 KB Output is correct
30 Correct 21 ms 66956 KB Output is correct
31 Correct 17 ms 66820 KB Output is correct
32 Correct 17 ms 66652 KB Output is correct
33 Correct 13 ms 62044 KB Output is correct
34 Correct 13 ms 62044 KB Output is correct
35 Correct 16 ms 66392 KB Output is correct
36 Correct 15 ms 66396 KB Output is correct
37 Correct 13 ms 62176 KB Output is correct
38 Correct 13 ms 62044 KB Output is correct
39 Correct 15 ms 66392 KB Output is correct
40 Correct 15 ms 66228 KB Output is correct
41 Correct 27 ms 74688 KB Output is correct
42 Correct 27 ms 74588 KB Output is correct
43 Runtime error 64 ms 134484 KB Execution killed with signal 6
44 Halted 0 ms 0 KB -

Subtask #4
0 / 22.0

# Verdict Execution time Memory Grader output
1 Correct 14 ms 66140 KB Output is correct
2 Correct 13 ms 66136 KB Output is correct
3 Correct 14 ms 66140 KB Output is correct
4 Correct 13 ms 66200 KB Output is correct
5 Correct 13 ms 66136 KB Output is correct
6 Correct 15 ms 66396 KB Output is correct
7 Correct 14 ms 66140 KB Output is correct
8 Correct 13 ms 66140 KB Output is correct
9 Correct 13 ms 66140 KB Output is correct
10 Correct 13 ms 66264 KB Output is correct
11 Correct 13 ms 62044 KB Output is correct
12 Correct 13 ms 62172 KB Output is correct
13 Correct 12 ms 62044 KB Output is correct
14 Correct 13 ms 66292 KB Output is correct
15 Correct 14 ms 66140 KB Output is correct
16 Correct 14 ms 62044 KB Output is correct
17 Correct 13 ms 66552 KB Output is correct
18 Correct 13 ms 66140 KB Output is correct
19 Correct 13 ms 64092 KB Output is correct
20 Correct 13 ms 66140 KB Output is correct
21 Correct 13 ms 66140 KB Output is correct
22 Correct 13 ms 66140 KB Output is correct
23 Correct 13 ms 66192 KB Output is correct
24 Correct 13 ms 62044 KB Output is correct
25 Correct 16 ms 66652 KB Output is correct
26 Correct 17 ms 66648 KB Output is correct
27 Correct 19 ms 66652 KB Output is correct
28 Correct 19 ms 66908 KB Output is correct
29 Correct 16 ms 66652 KB Output is correct
30 Correct 21 ms 66956 KB Output is correct
31 Correct 17 ms 66820 KB Output is correct
32 Correct 17 ms 66652 KB Output is correct
33 Correct 13 ms 62044 KB Output is correct
34 Correct 13 ms 62044 KB Output is correct
35 Correct 16 ms 66392 KB Output is correct
36 Correct 15 ms 66396 KB Output is correct
37 Correct 13 ms 62176 KB Output is correct
38 Correct 13 ms 62044 KB Output is correct
39 Correct 15 ms 66392 KB Output is correct
40 Correct 15 ms 66228 KB Output is correct
41 Correct 27 ms 74688 KB Output is correct
42 Correct 27 ms 74588 KB Output is correct
43 Runtime error 64 ms 134484 KB Execution killed with signal 6
44 Halted 0 ms 0 KB -