Submission #1098224

# Submission time Handle Problem Language Result Execution time Memory
1098224 2024-10-09T06:35:45 Z rifat414141 Event Hopping (BOI22_events) C++17
100 / 100
103 ms 28488 KB
#include <bits/stdc++.h>
#define int long long int
#define endl '\n'
using namespace std;
const int N = 1e5 + 10;
const int INF = 1e18;
const int LOGN = 20;
int arr[N];
// pair<int, int> segment_tree[4 * N];
int up[N][LOGN];
int par[N];
// void build(int id, int l, int r)
// {
//     if (l == r)
//     {
//         segment_tree[id] = {arr[l - 1], l - 1};
//         return;
//     }
//     int mid = (l + r) / 2;
//     build(2 * id, l, mid);
//     build(2 * id + 1, mid + 1, r);
//     segment_tree[id] = min(segment_tree[2 * id], segment_tree[2 * id + 1]);
//     return;
// }
// pair<int, int> range(int id, int l, int r, int L, int R)
// {
//     if (R < l || L > r)
//     {
//         return {INF, INF};
//     }
//     if (L <= l && r <= R)
//     {
//         return segment_tree[id];
//     }
//     int mid = (l + r) / 2;
//     pair<int, int> x = range(2 * id, l, mid, L, R);
//     pair<int, int> y = range(2 * id + 1, mid + 1, r, L, R);
//     return min(x, y);
// }
struct Seg
{
    int siz;
    vector<pair<int, int>> v;

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

    pair<int, int> merge(pair<int, int> x, pair<int, int> y)
    {
        pair<int, int> res;
        res.first = min(x.first, y.first);
        if (x.first == y.first)
            res.second = min(x.second, y.second);
        else if (res.first == x.first)
            res.second = x.second;
        else
            res.second = y.second;
        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 make_pair(INF, -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>> v1;
    vector<pair<int, pair<int, int>>> v2;
    for (int i = 0; i < n; ++i)
    {
        int l, r;
        cin >> l >> r;
        v1.push_back({l, r});
        v2.push_back({r, {l, i}});
    }
    int brr[n], crr[n];
    sort(v2.begin(), v2.end());
    for (int i = 0; i < n; ++i)
    {
        arr[i] = v2[i].second.first;
        brr[v2[i].second.second] = i;
        crr[i] = v2[i].second.second;
    }
    // build(1, 1, n);
    Seg st;
    st.init(n + 1);
    for (int i = n - 1; i >= 0; i--)
    {
        st.set(i, make_pair(v2[i].second.first, i));
    }

    for (int i = 0; i < n; ++i)
    {
        pair<int, pair<int, int>> p = {v2[i].second.first, {-1, -1}};
        int it = lower_bound(v2.begin(), v2.end(), p) - v2.begin();
        // cout << v2[i].first << ' ' << it << endl;
        if (it == i)
        {
            up[i][0] = par[i] = i;
        }
        else
        {
            // auto idx = range(1, 1, n, it + 1, i + 1);
            up[i][0] = par[i] = (st.range_mx(it, i)).second;
        }
    }
    for (int j = 1; j < LOGN; ++j)
    {
        for (int i = 0; i < n; ++i)
        {
            if (j == 1)
                up[i][j] = up[par[i]][j - 1];
            else
                up[i][j] = up[up[i][j - 1]][j - 1];
            // up[j][i] = up[up[j][i - 1]][i - 1];
        }
    }
    while (q--)
    {
        int s, e;
        cin >> s >> e;
        if (s == e)
        {
            cout << 0 << endl;
            continue;
        }
        s--, e--;
        int ogs = brr[s], oge = brr[e];
        int sl = v2[ogs].second.first, sr = v2[ogs].first;
        int el = v2[oge].second.first, er = v2[oge].first;
        if (ogs > oge)
        {
            if (sr >= el && sr <= er)
            {
                cout << 1 << endl;
                continue;
            }
            else
            {
                cout << "impossible" << endl;
                continue;
            }
        }
        int curr = oge;
        int ans = 0;
        int mn = sr;
        for (int i = LOGN - 1; i >= 0; --i)
        {
            if (v2[up[curr][i]].second.first > mn)
            {
                ans += (1 << i);
                curr = up[curr][i];
            }
        }
        if (v1[crr[curr]].first > mn)
        {
            ans++;
            curr = up[curr][0];
        }
        ans++;
        curr = up[curr][0];
        if (v1[crr[curr]].first > mn)
        {
            cout << "impossible" << endl;
            continue;
        }
        else
        {
            cout << ans << endl;
        }
    }
}

int32_t main()
{
    ios_base::sync_with_stdio(false);
    cin.tie(NULL);
    cout.tie(NULL);
    // freopen("prime_subtractorization_input.txt", "r", stdin);
    // freopen("out.txt", "w", stdout);
    int t = 1;
    // cin >> t;
    for (int tt = 1; tt <= t; ++tt)
    {
        // cout << "Case #" << tt << ": ";
        solve();
    }

    return 0;
}

Compilation message

events.cpp: In function 'void solve()':
events.cpp:167:13: warning: unused variable 'sl' [-Wunused-variable]
  167 |         int sl = v2[ogs].second.first, sr = v2[ogs].first;
      |             ^~
# Verdict Execution time Memory Grader output
1 Correct 0 ms 348 KB Output is correct
2 Correct 70 ms 27924 KB Output is correct
3 Correct 73 ms 27904 KB Output is correct
4 Correct 82 ms 27972 KB Output is correct
5 Correct 78 ms 27964 KB Output is correct
6 Correct 73 ms 27972 KB Output is correct
7 Correct 75 ms 27972 KB Output is correct
8 Correct 65 ms 28272 KB Output is correct
9 Correct 65 ms 28420 KB Output is correct
10 Correct 89 ms 28232 KB Output is correct
11 Correct 80 ms 28356 KB Output is correct
12 Correct 59 ms 28260 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 0 ms 348 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 604 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 1 ms 604 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 0 ms 348 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 604 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 1 ms 604 KB Output is correct
10 Correct 0 ms 344 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 600 KB Output is correct
14 Correct 1 ms 600 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 604 KB Output is correct
19 Correct 21 ms 2404 KB Output is correct
20 Correct 19 ms 2348 KB Output is correct
21 Correct 27 ms 2604 KB Output is correct
22 Correct 21 ms 2852 KB Output is correct
23 Correct 19 ms 2608 KB Output is correct
24 Correct 18 ms 2604 KB Output is correct
25 Correct 17 ms 2352 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 0 ms 348 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 604 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 1 ms 604 KB Output is correct
10 Correct 0 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 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 600 KB Output is correct
17 Correct 1 ms 604 KB Output is correct
18 Correct 1 ms 604 KB Output is correct
19 Correct 53 ms 27380 KB Output is correct
20 Correct 51 ms 27204 KB Output is correct
21 Correct 67 ms 27208 KB Output is correct
22 Correct 53 ms 27364 KB Output is correct
23 Correct 60 ms 27212 KB Output is correct
24 Correct 58 ms 27200 KB Output is correct
25 Correct 44 ms 27204 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 76 ms 27972 KB Output is correct
2 Correct 78 ms 27972 KB Output is correct
3 Correct 82 ms 27972 KB Output is correct
4 Correct 62 ms 28308 KB Output is correct
5 Correct 84 ms 28132 KB Output is correct
6 Correct 93 ms 27968 KB Output is correct
7 Correct 91 ms 27968 KB Output is correct
8 Correct 87 ms 28228 KB Output is correct
9 Correct 50 ms 27204 KB Output is correct
10 Correct 76 ms 27712 KB Output is correct
11 Correct 75 ms 27464 KB Output is correct
12 Correct 80 ms 27712 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 0 ms 348 KB Output is correct
2 Correct 70 ms 27924 KB Output is correct
3 Correct 73 ms 27904 KB Output is correct
4 Correct 82 ms 27972 KB Output is correct
5 Correct 78 ms 27964 KB Output is correct
6 Correct 73 ms 27972 KB Output is correct
7 Correct 75 ms 27972 KB Output is correct
8 Correct 65 ms 28272 KB Output is correct
9 Correct 65 ms 28420 KB Output is correct
10 Correct 89 ms 28232 KB Output is correct
11 Correct 80 ms 28356 KB Output is correct
12 Correct 59 ms 28260 KB Output is correct
13 Correct 0 ms 348 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 604 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 1 ms 604 KB Output is correct
22 Correct 0 ms 344 KB Output is correct
23 Correct 0 ms 348 KB Output is correct
24 Correct 1 ms 604 KB Output is correct
25 Correct 1 ms 600 KB Output is correct
26 Correct 1 ms 600 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 604 KB Output is correct
31 Correct 21 ms 2404 KB Output is correct
32 Correct 19 ms 2348 KB Output is correct
33 Correct 27 ms 2604 KB Output is correct
34 Correct 21 ms 2852 KB Output is correct
35 Correct 19 ms 2608 KB Output is correct
36 Correct 18 ms 2604 KB Output is correct
37 Correct 17 ms 2352 KB Output is correct
38 Correct 0 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 604 KB Output is correct
42 Correct 1 ms 604 KB Output is correct
43 Correct 1 ms 604 KB Output is correct
44 Correct 1 ms 600 KB Output is correct
45 Correct 1 ms 604 KB Output is correct
46 Correct 1 ms 604 KB Output is correct
47 Correct 53 ms 27380 KB Output is correct
48 Correct 51 ms 27204 KB Output is correct
49 Correct 67 ms 27208 KB Output is correct
50 Correct 53 ms 27364 KB Output is correct
51 Correct 60 ms 27212 KB Output is correct
52 Correct 58 ms 27200 KB Output is correct
53 Correct 44 ms 27204 KB Output is correct
54 Correct 76 ms 27972 KB Output is correct
55 Correct 78 ms 27972 KB Output is correct
56 Correct 82 ms 27972 KB Output is correct
57 Correct 62 ms 28308 KB Output is correct
58 Correct 84 ms 28132 KB Output is correct
59 Correct 93 ms 27968 KB Output is correct
60 Correct 91 ms 27968 KB Output is correct
61 Correct 87 ms 28228 KB Output is correct
62 Correct 50 ms 27204 KB Output is correct
63 Correct 76 ms 27712 KB Output is correct
64 Correct 75 ms 27464 KB Output is correct
65 Correct 80 ms 27712 KB Output is correct
66 Correct 0 ms 348 KB Output is correct
67 Correct 70 ms 27872 KB Output is correct
68 Correct 75 ms 27968 KB Output is correct
69 Correct 84 ms 27944 KB Output is correct
70 Correct 75 ms 27904 KB Output is correct
71 Correct 75 ms 27940 KB Output is correct
72 Correct 74 ms 27976 KB Output is correct
73 Correct 62 ms 28484 KB Output is correct
74 Correct 63 ms 28436 KB Output is correct
75 Correct 86 ms 28232 KB Output is correct
76 Correct 79 ms 28228 KB Output is correct
77 Correct 58 ms 28488 KB Output is correct
78 Correct 1 ms 344 KB Output is correct
79 Correct 1 ms 604 KB Output is correct
80 Correct 1 ms 604 KB Output is correct
81 Correct 1 ms 600 KB Output is correct
82 Correct 1 ms 604 KB Output is correct
83 Correct 1 ms 604 KB Output is correct
84 Correct 1 ms 600 KB Output is correct
85 Correct 1 ms 604 KB Output is correct
86 Correct 23 ms 2348 KB Output is correct
87 Correct 19 ms 2352 KB Output is correct
88 Correct 29 ms 2608 KB Output is correct
89 Correct 25 ms 2860 KB Output is correct
90 Correct 22 ms 2604 KB Output is correct
91 Correct 19 ms 2608 KB Output is correct
92 Correct 18 ms 2352 KB Output is correct
93 Correct 53 ms 27356 KB Output is correct
94 Correct 51 ms 27204 KB Output is correct
95 Correct 61 ms 27204 KB Output is correct
96 Correct 54 ms 27204 KB Output is correct
97 Correct 51 ms 27200 KB Output is correct
98 Correct 57 ms 27220 KB Output is correct
99 Correct 44 ms 27364 KB Output is correct
100 Correct 96 ms 27972 KB Output is correct
101 Correct 102 ms 28132 KB Output is correct
102 Correct 89 ms 28224 KB Output is correct
103 Correct 78 ms 27716 KB Output is correct
104 Correct 81 ms 27464 KB Output is correct
105 Correct 80 ms 27564 KB Output is correct
106 Correct 102 ms 27964 KB Output is correct
107 Correct 103 ms 28228 KB Output is correct
108 Correct 90 ms 27996 KB Output is correct
109 Correct 90 ms 27972 KB Output is correct
110 Correct 102 ms 27976 KB Output is correct
111 Correct 96 ms 27976 KB Output is correct