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Submission #573671

# Submission time Handle Problem Language Result Execution time Memory
573671 2022-06-07T04:49:38 Z eecs Event Hopping (BOI22_events) C++17
50 / 100
 1500 ms 248436 KB 
#include <bits/stdc++.h>
using namespace std;

const int maxn = 100010, SZ = 600;
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); ~i && r > s; i--) {
            if (b[r] <= s) return r;
            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 1032 ms 247752 KB Output is correct
3 Correct 960 ms 247744 KB Output is correct
4 Correct 782 ms 247816 KB Output is correct
5 Correct 1025 ms 247624 KB Output is correct
6 Correct 1066 ms 247668 KB Output is correct
7 Correct 1095 ms 247776 KB Output is correct
8 Correct 167 ms 129884 KB Output is correct
9 Correct 183 ms 129316 KB Output is correct
10 Correct 447 ms 248292 KB Output is correct
11 Correct 489 ms 248296 KB Output is correct
12 Correct 152 ms 129124 KB Output is correct

Subtask #2
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 4 ms 6612 KB Output is correct
2 Correct 3 ms 6612 KB Output is correct
3 Correct 6 ms 9032 KB Output is correct
4 Correct 6 ms 9056 KB Output is correct
5 Correct 5 ms 9044 KB Output is correct
6 Correct 4 ms 8344 KB Output is correct
7 Correct 5 ms 9000 KB Output is correct
8 Correct 4 ms 9044 KB Output is correct
9 Correct 4 ms 7764 KB Output is correct

Subtask #3
15.0 / 15.0

# Verdict Execution time Memory Grader output
1 Correct 4 ms 6612 KB Output is correct
2 Correct 3 ms 6612 KB Output is correct
3 Correct 6 ms 9032 KB Output is correct
4 Correct 6 ms 9056 KB Output is correct
5 Correct 5 ms 9044 KB Output is correct
6 Correct 4 ms 8344 KB Output is correct
7 Correct 5 ms 9000 KB Output is correct
8 Correct 4 ms 9044 KB Output is correct
9 Correct 4 ms 7764 KB Output is correct
10 Correct 3 ms 6612 KB Output is correct
11 Correct 3 ms 6612 KB Output is correct
12 Correct 6 ms 9044 KB Output is correct
13 Correct 7 ms 9044 KB Output is correct
14 Correct 5 ms 9044 KB Output is correct
15 Correct 5 ms 8404 KB Output is correct
16 Correct 5 ms 9044 KB Output is correct
17 Correct 5 ms 9000 KB Output is correct
18 Correct 4 ms 7764 KB Output is correct
19 Correct 268 ms 19168 KB Output is correct
20 Correct 194 ms 19316 KB Output is correct
21 Correct 129 ms 19392 KB Output is correct
22 Correct 35 ms 16460 KB Output is correct
23 Correct 42 ms 19272 KB Output is correct
24 Correct 32 ms 19296 KB Output is correct
25 Correct 137 ms 18892 KB Output is correct

Subtask #4
15.0 / 15.0

# Verdict Execution time Memory Grader output
1 Correct 4 ms 6612 KB Output is correct
2 Correct 3 ms 6612 KB Output is correct
3 Correct 6 ms 9032 KB Output is correct
4 Correct 6 ms 9056 KB Output is correct
5 Correct 5 ms 9044 KB Output is correct
6 Correct 4 ms 8344 KB Output is correct
7 Correct 5 ms 9000 KB Output is correct
8 Correct 4 ms 9044 KB Output is correct
9 Correct 4 ms 7764 KB Output is correct
10 Correct 3 ms 6612 KB Output is correct
11 Correct 4 ms 6612 KB Output is correct
12 Correct 6 ms 9016 KB Output is correct
13 Correct 5 ms 9044 KB Output is correct
14 Correct 7 ms 9044 KB Output is correct
15 Correct 5 ms 8404 KB Output is correct
16 Correct 5 ms 9044 KB Output is correct
17 Correct 6 ms 8976 KB Output is correct
18 Correct 5 ms 7764 KB Output is correct
19 Correct 313 ms 246948 KB Output is correct
20 Correct 296 ms 247156 KB Output is correct
21 Correct 222 ms 186984 KB Output is correct
22 Correct 319 ms 247068 KB Output is correct
23 Correct 187 ms 246948 KB Output is correct
24 Correct 200 ms 246984 KB Output is correct
25 Correct 124 ms 127820 KB Output is correct

Subtask #5
0 / 20.0

# Verdict Execution time Memory Grader output
1 Correct 1098 ms 247564 KB Output is correct
2 Correct 984 ms 247632 KB Output is correct
3 Correct 766 ms 247884 KB Output is correct
4 Correct 172 ms 129264 KB Output is correct
5 Correct 473 ms 248436 KB Output is correct
6 Correct 495 ms 248252 KB Output is correct
7 Correct 521 ms 248128 KB Output is correct
8 Correct 400 ms 248220 KB Output is correct
9 Correct 181 ms 247004 KB Output is correct
10 Execution timed out 1600 ms 247216 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 1032 ms 247752 KB Output is correct
3 Correct 960 ms 247744 KB Output is correct
4 Correct 782 ms 247816 KB Output is correct
5 Correct 1025 ms 247624 KB Output is correct
6 Correct 1066 ms 247668 KB Output is correct
7 Correct 1095 ms 247776 KB Output is correct
8 Correct 167 ms 129884 KB Output is correct
9 Correct 183 ms 129316 KB Output is correct
10 Correct 447 ms 248292 KB Output is correct
11 Correct 489 ms 248296 KB Output is correct
12 Correct 152 ms 129124 KB Output is correct
13 Correct 4 ms 6612 KB Output is correct
14 Correct 3 ms 6612 KB Output is correct
15 Correct 6 ms 9032 KB Output is correct
16 Correct 6 ms 9056 KB Output is correct
17 Correct 5 ms 9044 KB Output is correct
18 Correct 4 ms 8344 KB Output is correct
19 Correct 5 ms 9000 KB Output is correct
20 Correct 4 ms 9044 KB Output is correct
21 Correct 4 ms 7764 KB Output is correct
22 Correct 3 ms 6612 KB Output is correct
23 Correct 3 ms 6612 KB Output is correct
24 Correct 6 ms 9044 KB Output is correct
25 Correct 7 ms 9044 KB Output is correct
26 Correct 5 ms 9044 KB Output is correct
27 Correct 5 ms 8404 KB Output is correct
28 Correct 5 ms 9044 KB Output is correct
29 Correct 5 ms 9000 KB Output is correct
30 Correct 4 ms 7764 KB Output is correct
31 Correct 268 ms 19168 KB Output is correct
32 Correct 194 ms 19316 KB Output is correct
33 Correct 129 ms 19392 KB Output is correct
34 Correct 35 ms 16460 KB Output is correct
35 Correct 42 ms 19272 KB Output is correct
36 Correct 32 ms 19296 KB Output is correct
37 Correct 137 ms 18892 KB Output is correct
38 Correct 3 ms 6612 KB Output is correct
39 Correct 4 ms 6612 KB Output is correct
40 Correct 6 ms 9016 KB Output is correct
41 Correct 5 ms 9044 KB Output is correct
42 Correct 7 ms 9044 KB Output is correct
43 Correct 5 ms 8404 KB Output is correct
44 Correct 5 ms 9044 KB Output is correct
45 Correct 6 ms 8976 KB Output is correct
46 Correct 5 ms 7764 KB Output is correct
47 Correct 313 ms 246948 KB Output is correct
48 Correct 296 ms 247156 KB Output is correct
49 Correct 222 ms 186984 KB Output is correct
50 Correct 319 ms 247068 KB Output is correct
51 Correct 187 ms 246948 KB Output is correct
52 Correct 200 ms 246984 KB Output is correct
53 Correct 124 ms 127820 KB Output is correct
54 Correct 1098 ms 247564 KB Output is correct
55 Correct 984 ms 247632 KB Output is correct
56 Correct 766 ms 247884 KB Output is correct
57 Correct 172 ms 129264 KB Output is correct
58 Correct 473 ms 248436 KB Output is correct
59 Correct 495 ms 248252 KB Output is correct
60 Correct 521 ms 248128 KB Output is correct
61 Correct 400 ms 248220 KB Output is correct
62 Correct 181 ms 247004 KB Output is correct
63 Execution timed out 1600 ms 247216 KB Time limit exceeded
64 Halted 0 ms 0 KB -