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Submission #1098199

# Submission time Handle Problem Language Result Execution time Memory
1098199 2024-10-09T06:13:34 Z rifat414141 Event Hopping (BOI22_events) C++17
100 / 100
 90 ms 17728 KB 
#include <bits/stdc++.h>
using namespace std;

#define ll long long
#define pb(x) push_back(x)
#define mp(x, y) make_pair(x, y)
#define all(x) x.begin(), x.end()
#define vf first
#define vs second
const int mod = 998244353;

const int MX = 1000000005;
const int L = 20;

struct Seg
{
    int siz;
    vector<pair<int, int>> v;

    void init(int n)
    {
        siz = 1;
        while (siz < n)
            siz *= 2;
        v.assign(siz * 2, mp(MX, -1));
    }

    pair<int, int> merge(pair<int, int> x, pair<int, int> y)
    {
        pair<int, int> res;
        res.vf = min(x.vf, y.vf);
        if (x.vf == y.vf)
            res.vs = min(x.vs, y.vs);
        else if (res.vf == x.vf)
            res.vs = x.vs;
        else
            res.vs = y.vs;
        return res;
    }

    void set(int i, pair<int, int> p, int x, int lx, int rx)
    {
        if (rx - lx == 1)
        {
            v[x] = merge(p, v[x]);
            return;
        }
        int m = (lx + rx) / 2;
        if (i < m)
            set(i, p, 2 * x + 1, lx, m);
        else
            set(i, p, 2 * x + 2, m, rx);
        v[x] = merge(v[2 * x + 1], v[2 * x + 2]);
    }

    void set(int i, pair<int, int> p)
    {
        set(i, p, 0, 0, siz);
    }

    pair<int, int> range_mx(int l, int r, int x, int lx, int rx)
    {
        if (l >= rx || lx >= r)
            return mp(MX, -1);
        if (lx >= l && rx <= r)
            return v[x];
        int m = (lx + rx) / 2;
        return merge(range_mx(l, r, 2 * x + 1, lx, m), range_mx(l, r, 2 * x + 2, m, rx));
    }

    pair<int, int> range_mx(int l, int r)
    {
        return range_mx(l, r, 0, 0, siz);
    }
};

void solve()
{
    int n, q;
    cin >> n >> q;
    vector<pair<int, int>> v(n);
    for (int i = 0; i < n; i++)
    {
        cin >> v[i].vf >> v[i].vs;
    }

    // positions acocrding to sorted e

    vector<pair<int, pair<int, int>>> e_sort;
    // vector<pair<int,pair<int,int>>> rev;

    for (int i = 0; i < n; i++)
    {
        e_sort.pb(mp(v[i].vs, mp(v[i].vf, i)));
    }
    sort(all(e_sort));
    // rev = e_sort;
    // reverse(all(rev));
    int pos[n], rev[n];
    for (int i = 0; i < n; i++)
    {
        pos[e_sort[i].vs.vs] = i;
        rev[i] = e_sort[i].vs.vs;
    }

    // segtree

    Seg st;
    st.init(n + 1);
    for (int i = n - 1; i >= 0; i--)
    {
        st.set(i, mp(e_sort[i].vs.vf, i));
    }

    // binary lifting

    int up[n][L];
    int p[n];
    for (int i = 0; i < n; i++)
    {
        pair<int, pair<int, int>> tp = mp(e_sort[i].vs.vf, mp(-1, -1));
        int left = (lower_bound(all(e_sort), tp) - e_sort.begin());
        if (left == i)
            up[i][0] = p[i] = i;
        else
        {
            p[i] = st.range_mx(left, i).vs;
            // cout << left << ' ' << st.range_mx(left,i).vf << ' ' << p[i] << '\n';
            up[i][0] = p[i];
        }
    }
    for (int j = 1; j < L; j++)
    {
        for (int i = 0; i < n; i++)
        {
            // if (j == 1)
            //     up[i][j] = up[p[i]][j - 1];
            // else
                up[i][j] = up[up[i][j - 1]][j - 1];
        }
    }

    // answering the queries

    while (q--)
    {
        int s, e;
        cin >> s >> e;
        s--;
        e--;
        if (s == e)
        {
            cout << 0 << '\n';
            continue;
        }
        int ogs = pos[s], oge = pos[e];
        if (ogs > oge)
        {
            if (v[s].vs >= v[e].vf && v[s].vs <= v[e].vs)
            {
                cout << 1 << '\n';
                continue;
            }
            else
            {
                cout << "impossible\n";
                continue;
            }
        }
        int i = oge;
        int mn = v[s].vs;
        int ans = 0;
        for (int j = L - 1; j >= 0; j--)
        {
            if (v[rev[up[i][j]]].vf > mn)
            {
                ans += (1 << j);
                i = up[i][j];
            }
        }
        if (v[rev[i]].vf > mn)
        {
            i = up[i][0];
            ans++;
        }
        ans++;
        i = up[i][0];
        if (v[rev[i]].vf > mn)
            cout << "impossible\n";
        else
            cout << ans << "\n";
    }
}

int main()
{
    ios_base::sync_with_stdio(false);
    cin.tie(NULL);
    // int t;cin >> t;
    // while(t--)
    solve();
    return 0;
}

Subtask #1
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 456 KB Output is correct
2 Correct 66 ms 17300 KB Output is correct
3 Correct 72 ms 17292 KB Output is correct
4 Correct 75 ms 17092 KB Output is correct
5 Correct 74 ms 17348 KB Output is correct
6 Correct 69 ms 17352 KB Output is correct
7 Correct 73 ms 17348 KB Output is correct
8 Correct 57 ms 17596 KB Output is correct
9 Correct 59 ms 17608 KB Output is correct
10 Correct 84 ms 17456 KB Output is correct
11 Correct 75 ms 17608 KB Output is correct
12 Correct 52 ms 16844 KB Output is correct

Subtask #2
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 344 KB Output is correct
2 Correct 0 ms 348 KB Output is correct
3 Correct 1 ms 604 KB Output is correct
4 Correct 1 ms 604 KB Output is correct
5 Correct 1 ms 348 KB Output is correct
6 Correct 1 ms 604 KB Output is correct
7 Correct 1 ms 604 KB Output is correct
8 Correct 1 ms 604 KB Output is correct
9 Correct 0 ms 604 KB Output is correct

Subtask #3
15.0 / 15.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 344 KB Output is correct
2 Correct 0 ms 348 KB Output is correct
3 Correct 1 ms 604 KB Output is correct
4 Correct 1 ms 604 KB Output is correct
5 Correct 1 ms 348 KB Output is correct
6 Correct 1 ms 604 KB Output is correct
7 Correct 1 ms 604 KB Output is correct
8 Correct 1 ms 604 KB Output is correct
9 Correct 0 ms 604 KB Output is correct
10 Correct 0 ms 348 KB Output is correct
11 Correct 0 ms 344 KB Output is correct
12 Correct 1 ms 604 KB Output is correct
13 Correct 1 ms 604 KB Output is correct
14 Correct 1 ms 604 KB Output is correct
15 Correct 1 ms 604 KB Output is correct
16 Correct 1 ms 604 KB Output is correct
17 Correct 1 ms 604 KB Output is correct
18 Correct 1 ms 348 KB Output is correct
19 Correct 23 ms 2588 KB Output is correct
20 Correct 19 ms 2648 KB Output is correct
21 Correct 26 ms 2900 KB Output is correct
22 Correct 18 ms 2908 KB Output is correct
23 Correct 17 ms 2708 KB Output is correct
24 Correct 19 ms 2900 KB Output is correct
25 Correct 18 ms 2396 KB Output is correct

Subtask #4
15.0 / 15.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 344 KB Output is correct
2 Correct 0 ms 348 KB Output is correct
3 Correct 1 ms 604 KB Output is correct
4 Correct 1 ms 604 KB Output is correct
5 Correct 1 ms 348 KB Output is correct
6 Correct 1 ms 604 KB Output is correct
7 Correct 1 ms 604 KB Output is correct
8 Correct 1 ms 604 KB Output is correct
9 Correct 0 ms 604 KB Output is correct
10 Correct 1 ms 348 KB Output is correct
11 Correct 0 ms 348 KB Output is correct
12 Correct 1 ms 604 KB Output is correct
13 Correct 1 ms 468 KB Output is correct
14 Correct 1 ms 348 KB Output is correct
15 Correct 1 ms 604 KB Output is correct
16 Correct 1 ms 604 KB Output is correct
17 Correct 1 ms 496 KB Output is correct
18 Correct 1 ms 604 KB Output is correct
19 Correct 52 ms 15428 KB Output is correct
20 Correct 45 ms 14536 KB Output is correct
21 Correct 56 ms 15300 KB Output is correct
22 Correct 47 ms 15304 KB Output is correct
23 Correct 46 ms 15296 KB Output is correct
24 Correct 53 ms 15300 KB Output is correct
25 Correct 39 ms 15044 KB Output is correct

Subtask #5
20.0 / 20.0

# Verdict Execution time Memory Grader output
1 Correct 65 ms 17096 KB Output is correct
2 Correct 71 ms 17280 KB Output is correct
3 Correct 76 ms 17096 KB Output is correct
4 Correct 59 ms 17604 KB Output is correct
5 Correct 78 ms 17600 KB Output is correct
6 Correct 85 ms 17352 KB Output is correct
7 Correct 84 ms 17352 KB Output is correct
8 Correct 74 ms 17512 KB Output is correct
9 Correct 45 ms 15512 KB Output is correct
10 Correct 73 ms 16884 KB Output is correct
11 Correct 74 ms 16840 KB Output is correct
12 Correct 72 ms 16840 KB Output is correct

Subtask #6
30.0 / 30.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 456 KB Output is correct
2 Correct 66 ms 17300 KB Output is correct
3 Correct 72 ms 17292 KB Output is correct
4 Correct 75 ms 17092 KB Output is correct
5 Correct 74 ms 17348 KB Output is correct
6 Correct 69 ms 17352 KB Output is correct
7 Correct 73 ms 17348 KB Output is correct
8 Correct 57 ms 17596 KB Output is correct
9 Correct 59 ms 17608 KB Output is correct
10 Correct 84 ms 17456 KB Output is correct
11 Correct 75 ms 17608 KB Output is correct
12 Correct 52 ms 16844 KB Output is correct
13 Correct 0 ms 344 KB Output is correct
14 Correct 0 ms 348 KB Output is correct
15 Correct 1 ms 604 KB Output is correct
16 Correct 1 ms 604 KB Output is correct
17 Correct 1 ms 348 KB Output is correct
18 Correct 1 ms 604 KB Output is correct
19 Correct 1 ms 604 KB Output is correct
20 Correct 1 ms 604 KB Output is correct
21 Correct 0 ms 604 KB Output is correct
22 Correct 0 ms 348 KB Output is correct
23 Correct 0 ms 344 KB Output is correct
24 Correct 1 ms 604 KB Output is correct
25 Correct 1 ms 604 KB Output is correct
26 Correct 1 ms 604 KB Output is correct
27 Correct 1 ms 604 KB Output is correct
28 Correct 1 ms 604 KB Output is correct
29 Correct 1 ms 604 KB Output is correct
30 Correct 1 ms 348 KB Output is correct
31 Correct 23 ms 2588 KB Output is correct
32 Correct 19 ms 2648 KB Output is correct
33 Correct 26 ms 2900 KB Output is correct
34 Correct 18 ms 2908 KB Output is correct
35 Correct 17 ms 2708 KB Output is correct
36 Correct 19 ms 2900 KB Output is correct
37 Correct 18 ms 2396 KB Output is correct
38 Correct 1 ms 348 KB Output is correct
39 Correct 0 ms 348 KB Output is correct
40 Correct 1 ms 604 KB Output is correct
41 Correct 1 ms 468 KB Output is correct
42 Correct 1 ms 348 KB Output is correct
43 Correct 1 ms 604 KB Output is correct
44 Correct 1 ms 604 KB Output is correct
45 Correct 1 ms 496 KB Output is correct
46 Correct 1 ms 604 KB Output is correct
47 Correct 52 ms 15428 KB Output is correct
48 Correct 45 ms 14536 KB Output is correct
49 Correct 56 ms 15300 KB Output is correct
50 Correct 47 ms 15304 KB Output is correct
51 Correct 46 ms 15296 KB Output is correct
52 Correct 53 ms 15300 KB Output is correct
53 Correct 39 ms 15044 KB Output is correct
54 Correct 65 ms 17096 KB Output is correct
55 Correct 71 ms 17280 KB Output is correct
56 Correct 76 ms 17096 KB Output is correct
57 Correct 59 ms 17604 KB Output is correct
58 Correct 78 ms 17600 KB Output is correct
59 Correct 85 ms 17352 KB Output is correct
60 Correct 84 ms 17352 KB Output is correct
61 Correct 74 ms 17512 KB Output is correct
62 Correct 45 ms 15512 KB Output is correct
63 Correct 73 ms 16884 KB Output is correct
64 Correct 74 ms 16840 KB Output is correct
65 Correct 72 ms 16840 KB Output is correct
66 Correct 1 ms 348 KB Output is correct
67 Correct 70 ms 17156 KB Output is correct
68 Correct 72 ms 17096 KB Output is correct
69 Correct 76 ms 17220 KB Output is correct
70 Correct 70 ms 17352 KB Output is correct
71 Correct 70 ms 17352 KB Output is correct
72 Correct 72 ms 17296 KB Output is correct
73 Correct 57 ms 17604 KB Output is correct
74 Correct 57 ms 17728 KB Output is correct
75 Correct 79 ms 17608 KB Output is correct
76 Correct 72 ms 17612 KB Output is correct
77 Correct 56 ms 16836 KB Output is correct
78 Correct 0 ms 344 KB Output is correct
79 Correct 1 ms 608 KB Output is correct
80 Correct 1 ms 488 KB Output is correct
81 Correct 1 ms 600 KB Output is correct
82 Correct 1 ms 464 KB Output is correct
83 Correct 1 ms 604 KB Output is correct
84 Correct 1 ms 472 KB Output is correct
85 Correct 1 ms 608 KB Output is correct
86 Correct 22 ms 2568 KB Output is correct
87 Correct 20 ms 2652 KB Output is correct
88 Correct 24 ms 2916 KB Output is correct
89 Correct 19 ms 2916 KB Output is correct
90 Correct 18 ms 2816 KB Output is correct
91 Correct 17 ms 2916 KB Output is correct
92 Correct 18 ms 2404 KB Output is correct
93 Correct 47 ms 15524 KB Output is correct
94 Correct 44 ms 14536 KB Output is correct
95 Correct 58 ms 15300 KB Output is correct
96 Correct 57 ms 15300 KB Output is correct
97 Correct 44 ms 15304 KB Output is correct
98 Correct 55 ms 15304 KB Output is correct
99 Correct 38 ms 14800 KB Output is correct
100 Correct 86 ms 17348 KB Output is correct
101 Correct 83 ms 17348 KB Output is correct
102 Correct 73 ms 17456 KB Output is correct
103 Correct 70 ms 16844 KB Output is correct
104 Correct 74 ms 16840 KB Output is correct
105 Correct 70 ms 16836 KB Output is correct
106 Correct 77 ms 16576 KB Output is correct
107 Correct 87 ms 16584 KB Output is correct
108 Correct 73 ms 17352 KB Output is correct
109 Correct 79 ms 17348 KB Output is correct
110 Correct 90 ms 17092 KB Output is correct
111 Correct 89 ms 17096 KB Output is correct