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Submission #573682

# Submission time Handle Problem Language Result Execution time Memory
573682 2022-06-07T05:01:27 Z eecs Event Hopping (BOI22_events) C++17
50 / 100
 1500 ms 483184 KB 
#include <bits/stdc++.h>
using namespace std;

const int maxn = 100010, SZ = 1200;
int n, q, b[maxn], rmq[17][maxn], bel[maxn], bl[maxn], br[maxn];
int num[maxn / SZ + 5][SZ + 5], tmp[maxn], sz[maxn], rb[maxn];
short pos[maxn][SZ + 5], tr[maxn][SZ + 5];
array<int, 2> a[maxn];

int main() {
    ios::sync_with_stdio(0), cin.tie(0);
    cin >> n >> q;
    vector<int> V;
    for (int i = 1; i <= n; i++) {
        cin >> a[i][0] >> a[i][1], V.push_back(a[i][1]);
    }
    sort(V.begin(), V.end());
    V.resize(unique(V.begin(), V.end()) - V.begin());
    fill(b + 1, b + n + 1, n + 1);
    for (int i = 1; i <= n; i++) {
        a[i][0] = lower_bound(V.begin(), V.end(), a[i][0]) - V.begin() + 1;
        a[i][1] = lower_bound(V.begin(), V.end(), a[i][1]) - V.begin() + 1;
        b[a[i][1]] = min(b[a[i][1]], a[i][0]);
    }
    for (int i = 1; i <= n; i++) {
        br[bel[i] = (i - 1) / SZ + 1] = i;
        if (!bl[bel[i]]) bl[bel[i]] = i;
    }
    copy(b + 1, b + n + 1, rmq[0] + 1);
    for (int k = 1; k < 17; k++) {
        memcpy(rmq[k], rmq[k - 1], sizeof(rmq[k]));
        for (int i = (1 << (k - 1)) + 1; i <= n; i++) {
            rmq[k][i] = min(rmq[k][i], rmq[k - 1][i - (1 << (k - 1))]);
        }
    }
    auto qmin = [&](int l, int r) {
        int k = __lg(r - l + 1);
        return min(rmq[k][l + (1 << k) - 1], rmq[k][r]);
    };
    auto go = [&](int s, int r) {
        r = min(r, rb[s]);
        if (b[r] <= s) return r;
        for (int i = __lg(r - s + 1); ~i && r > s; i--) {
            if (rmq[i][r] > s) r -= 1 << i;
        }
        return r <= s ? 0 : r;
    };
    for (int i = 1; i <= n; i++) {
        rb[i] = n, rb[i] = go(i, n);
    }
    for (int k = 1; k <= bel[n]; k++) {
        for (int i = br[k], j = br[k]; i >= bl[k]; i--) {
            for (; j >= max(bl[k], b[i]); j--) num[k][j - bl[k]] = j < i ? i : 0;
        }
    }
    for (int i = 1; i <= n; i++) {
        int k = bel[i], L = bl[k], R = br[k];
        for (int j = num[k][i - L]; j && j <= R; j = num[k][j - L]) {
            tr[i][sz[i]++] = j - L;
        }
        for (int j = 0, k = 0; j <= R - L; j++) {
            while (k < sz[i] && tr[i][k] < j) k++;
            pos[i][j] = k;
        }
    }
    while (q--) {
        int s, t, ans = 0;
        cin >> s >> t;
        if (s == t) { cout << "0\n"; continue; }
        for (s = a[s][1]; s && s < a[t][0]; ans++) {
            if (bel[s] == bel[a[t][0]]) {
                for (int i = a[t][0], j = a[t][0]; i >= s; i--) {
                    int v = max(s, i == a[t][0] ? qmin(i, a[t][1]) : b[i]);
                    for (; j >= v; j--) tmp[j] = j < i ? i : 0;
                }
                for (; s && s < a[t][0]; ans++) s = tmp[s];
                break;
            }
            int nxt = qmin(bl[bel[s] + 1], a[t][1]);
            if (nxt <= s) {
                s = go(s, a[t][1]);
            } else {
                if (!sz[s] || nxt - bl[bel[s]] > tr[s][sz[s] - 1]) { s = 0; break; }
                int i = pos[s][nxt - bl[bel[s]]];
                ans += i, s = bl[bel[s]] + tr[s][i];
                if (s < a[t][0]) s = go(s, a[t][1]), ans++;
            }
        }
        if (a[t][0] <= s && s <= a[t][1]) cout << ans + 1 << "\n";
        else cout << "impossible\n";
    }
    return 0;
}

Subtask #1
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 3 ms 6612 KB Output is correct
2 Correct 1080 ms 482472 KB Output is correct
3 Correct 1061 ms 482416 KB Output is correct
4 Correct 1056 ms 482556 KB Output is correct
5 Correct 1083 ms 482468 KB Output is correct
6 Correct 1138 ms 482500 KB Output is correct
7 Correct 1178 ms 482408 KB Output is correct
8 Correct 236 ms 247684 KB Output is correct
9 Correct 242 ms 246720 KB Output is correct
10 Correct 751 ms 483184 KB Output is correct
11 Correct 806 ms 483076 KB Output is correct
12 Correct 221 ms 246520 KB Output is correct

Subtask #2
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 3 ms 6612 KB Output is correct
2 Correct 3 ms 6612 KB Output is correct
3 Correct 9 ms 11348 KB Output is correct
4 Correct 8 ms 11348 KB Output is correct
5 Correct 7 ms 11348 KB Output is correct
6 Correct 5 ms 10196 KB Output is correct
7 Correct 8 ms 11348 KB Output is correct
8 Correct 6 ms 11340 KB Output is correct
9 Correct 5 ms 8916 KB Output is correct

Subtask #3
15.0 / 15.0

# Verdict Execution time Memory Grader output
1 Correct 3 ms 6612 KB Output is correct
2 Correct 3 ms 6612 KB Output is correct
3 Correct 9 ms 11348 KB Output is correct
4 Correct 8 ms 11348 KB Output is correct
5 Correct 7 ms 11348 KB Output is correct
6 Correct 5 ms 10196 KB Output is correct
7 Correct 8 ms 11348 KB Output is correct
8 Correct 6 ms 11340 KB Output is correct
9 Correct 5 ms 8916 KB Output is correct
10 Correct 4 ms 6612 KB Output is correct
11 Correct 4 ms 6612 KB Output is correct
12 Correct 9 ms 11348 KB Output is correct
13 Correct 7 ms 11348 KB Output is correct
14 Correct 7 ms 11312 KB Output is correct
15 Correct 7 ms 10196 KB Output is correct
16 Correct 7 ms 11348 KB Output is correct
17 Correct 6 ms 11348 KB Output is correct
18 Correct 5 ms 8916 KB Output is correct
19 Correct 279 ms 30848 KB Output is correct
20 Correct 281 ms 30924 KB Output is correct
21 Correct 189 ms 31176 KB Output is correct
22 Correct 52 ms 25316 KB Output is correct
23 Correct 51 ms 30996 KB Output is correct
24 Correct 44 ms 30984 KB Output is correct
25 Correct 221 ms 30760 KB Output is correct

Subtask #4
15.0 / 15.0

# Verdict Execution time Memory Grader output
1 Correct 3 ms 6612 KB Output is correct
2 Correct 3 ms 6612 KB Output is correct
3 Correct 9 ms 11348 KB Output is correct
4 Correct 8 ms 11348 KB Output is correct
5 Correct 7 ms 11348 KB Output is correct
6 Correct 5 ms 10196 KB Output is correct
7 Correct 8 ms 11348 KB Output is correct
8 Correct 6 ms 11340 KB Output is correct
9 Correct 5 ms 8916 KB Output is correct
10 Correct 3 ms 6612 KB Output is correct
11 Correct 3 ms 6612 KB Output is correct
12 Correct 8 ms 11368 KB Output is correct
13 Correct 7 ms 11364 KB Output is correct
14 Correct 8 ms 11404 KB Output is correct
15 Correct 8 ms 10160 KB Output is correct
16 Correct 7 ms 11340 KB Output is correct
17 Correct 8 ms 11348 KB Output is correct
18 Correct 5 ms 8916 KB Output is correct
19 Correct 584 ms 481840 KB Output is correct
20 Correct 581 ms 481916 KB Output is correct
21 Correct 311 ms 363100 KB Output is correct
22 Correct 667 ms 481756 KB Output is correct
23 Correct 343 ms 481760 KB Output is correct
24 Correct 426 ms 481768 KB Output is correct
25 Correct 185 ms 245256 KB Output is correct

Subtask #5
0 / 20.0

# Verdict Execution time Memory Grader output
1 Correct 1077 ms 482348 KB Output is correct
2 Correct 1012 ms 482424 KB Output is correct
3 Correct 1056 ms 482508 KB Output is correct
4 Correct 228 ms 246752 KB Output is correct
5 Correct 745 ms 483164 KB Output is correct
6 Correct 703 ms 482980 KB Output is correct
7 Correct 709 ms 482884 KB Output is correct
8 Correct 645 ms 482744 KB Output is correct
9 Correct 324 ms 481768 KB Output is correct
10 Execution timed out 1601 ms 482320 KB Time limit exceeded
11 Halted 0 ms 0 KB -

Subtask #6
0 / 30.0

# Verdict Execution time Memory Grader output
1 Correct 3 ms 6612 KB Output is correct
2 Correct 1080 ms 482472 KB Output is correct
3 Correct 1061 ms 482416 KB Output is correct
4 Correct 1056 ms 482556 KB Output is correct
5 Correct 1083 ms 482468 KB Output is correct
6 Correct 1138 ms 482500 KB Output is correct
7 Correct 1178 ms 482408 KB Output is correct
8 Correct 236 ms 247684 KB Output is correct
9 Correct 242 ms 246720 KB Output is correct
10 Correct 751 ms 483184 KB Output is correct
11 Correct 806 ms 483076 KB Output is correct
12 Correct 221 ms 246520 KB Output is correct
13 Correct 3 ms 6612 KB Output is correct
14 Correct 3 ms 6612 KB Output is correct
15 Correct 9 ms 11348 KB Output is correct
16 Correct 8 ms 11348 KB Output is correct
17 Correct 7 ms 11348 KB Output is correct
18 Correct 5 ms 10196 KB Output is correct
19 Correct 8 ms 11348 KB Output is correct
20 Correct 6 ms 11340 KB Output is correct
21 Correct 5 ms 8916 KB Output is correct
22 Correct 4 ms 6612 KB Output is correct
23 Correct 4 ms 6612 KB Output is correct
24 Correct 9 ms 11348 KB Output is correct
25 Correct 7 ms 11348 KB Output is correct
26 Correct 7 ms 11312 KB Output is correct
27 Correct 7 ms 10196 KB Output is correct
28 Correct 7 ms 11348 KB Output is correct
29 Correct 6 ms 11348 KB Output is correct
30 Correct 5 ms 8916 KB Output is correct
31 Correct 279 ms 30848 KB Output is correct
32 Correct 281 ms 30924 KB Output is correct
33 Correct 189 ms 31176 KB Output is correct
34 Correct 52 ms 25316 KB Output is correct
35 Correct 51 ms 30996 KB Output is correct
36 Correct 44 ms 30984 KB Output is correct
37 Correct 221 ms 30760 KB Output is correct
38 Correct 3 ms 6612 KB Output is correct
39 Correct 3 ms 6612 KB Output is correct
40 Correct 8 ms 11368 KB Output is correct
41 Correct 7 ms 11364 KB Output is correct
42 Correct 8 ms 11404 KB Output is correct
43 Correct 8 ms 10160 KB Output is correct
44 Correct 7 ms 11340 KB Output is correct
45 Correct 8 ms 11348 KB Output is correct
46 Correct 5 ms 8916 KB Output is correct
47 Correct 584 ms 481840 KB Output is correct
48 Correct 581 ms 481916 KB Output is correct
49 Correct 311 ms 363100 KB Output is correct
50 Correct 667 ms 481756 KB Output is correct
51 Correct 343 ms 481760 KB Output is correct
52 Correct 426 ms 481768 KB Output is correct
53 Correct 185 ms 245256 KB Output is correct
54 Correct 1077 ms 482348 KB Output is correct
55 Correct 1012 ms 482424 KB Output is correct
56 Correct 1056 ms 482508 KB Output is correct
57 Correct 228 ms 246752 KB Output is correct
58 Correct 745 ms 483164 KB Output is correct
59 Correct 703 ms 482980 KB Output is correct
60 Correct 709 ms 482884 KB Output is correct
61 Correct 645 ms 482744 KB Output is correct
62 Correct 324 ms 481768 KB Output is correct
63 Execution timed out 1601 ms 482320 KB Time limit exceeded
64 Halted 0 ms 0 KB -