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Submission #573674

# Submission time Handle Problem Language Result Execution time Memory
573674 2022-06-07T04:54:11 Z eecs Event Hopping (BOI22_events) C++17
50 / 100
 1500 ms 248532 KB 
#pragma GCC optimize("Ofast")
#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 - 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 1057 ms 247572 KB Output is correct
3 Correct 990 ms 247744 KB Output is correct
4 Correct 761 ms 247744 KB Output is correct
5 Correct 1036 ms 247744 KB Output is correct
6 Correct 1071 ms 247684 KB Output is correct
7 Correct 1110 ms 247788 KB Output is correct
8 Correct 117 ms 129784 KB Output is correct
9 Correct 137 ms 129384 KB Output is correct
10 Correct 437 ms 248304 KB Output is correct
11 Correct 471 ms 248400 KB Output is correct
12 Correct 98 ms 129140 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 7 ms 9044 KB Output is correct
4 Correct 6 ms 9044 KB Output is correct
5 Correct 6 ms 9044 KB Output is correct
6 Correct 5 ms 8404 KB Output is correct
7 Correct 4 ms 9044 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 3 ms 6612 KB Output is correct
2 Correct 3 ms 6612 KB Output is correct
3 Correct 7 ms 9044 KB Output is correct
4 Correct 6 ms 9044 KB Output is correct
5 Correct 6 ms 9044 KB Output is correct
6 Correct 5 ms 8404 KB Output is correct
7 Correct 4 ms 9044 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 6 ms 9044 KB Output is correct
14 Correct 5 ms 9044 KB Output is correct
15 Correct 4 ms 8404 KB Output is correct
16 Correct 5 ms 9044 KB Output is correct
17 Correct 4 ms 9044 KB Output is correct
18 Correct 4 ms 7764 KB Output is correct
19 Correct 290 ms 19080 KB Output is correct
20 Correct 180 ms 19128 KB Output is correct
21 Correct 128 ms 19404 KB Output is correct
22 Correct 33 ms 16464 KB Output is correct
23 Correct 34 ms 19276 KB Output is correct
24 Correct 31 ms 19284 KB Output is correct
25 Correct 127 ms 18868 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 7 ms 9044 KB Output is correct
4 Correct 6 ms 9044 KB Output is correct
5 Correct 6 ms 9044 KB Output is correct
6 Correct 5 ms 8404 KB Output is correct
7 Correct 4 ms 9044 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 5 ms 9044 KB Output is correct
13 Correct 6 ms 9044 KB Output is correct
14 Correct 6 ms 9044 KB Output is correct
15 Correct 4 ms 8404 KB Output is correct
16 Correct 4 ms 9044 KB Output is correct
17 Correct 4 ms 9044 KB Output is correct
18 Correct 4 ms 7764 KB Output is correct
19 Correct 309 ms 247184 KB Output is correct
20 Correct 303 ms 247140 KB Output is correct
21 Correct 150 ms 186980 KB Output is correct
22 Correct 322 ms 247008 KB Output is correct
23 Correct 176 ms 247024 KB Output is correct
24 Correct 226 ms 247044 KB Output is correct
25 Correct 71 ms 127772 KB Output is correct

Subtask #5
0 / 20.0

# Verdict Execution time Memory Grader output
1 Correct 1018 ms 247592 KB Output is correct
2 Correct 946 ms 247572 KB Output is correct
3 Correct 749 ms 247768 KB Output is correct
4 Correct 121 ms 129384 KB Output is correct
5 Correct 452 ms 248532 KB Output is correct
6 Correct 483 ms 248172 KB Output is correct
7 Correct 519 ms 248180 KB Output is correct
8 Correct 394 ms 248180 KB Output is correct
9 Correct 180 ms 246948 KB Output is correct
10 Execution timed out 1602 ms 247284 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 1057 ms 247572 KB Output is correct
3 Correct 990 ms 247744 KB Output is correct
4 Correct 761 ms 247744 KB Output is correct
5 Correct 1036 ms 247744 KB Output is correct
6 Correct 1071 ms 247684 KB Output is correct
7 Correct 1110 ms 247788 KB Output is correct
8 Correct 117 ms 129784 KB Output is correct
9 Correct 137 ms 129384 KB Output is correct
10 Correct 437 ms 248304 KB Output is correct
11 Correct 471 ms 248400 KB Output is correct
12 Correct 98 ms 129140 KB Output is correct
13 Correct 3 ms 6612 KB Output is correct
14 Correct 3 ms 6612 KB Output is correct
15 Correct 7 ms 9044 KB Output is correct
16 Correct 6 ms 9044 KB Output is correct
17 Correct 6 ms 9044 KB Output is correct
18 Correct 5 ms 8404 KB Output is correct
19 Correct 4 ms 9044 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 6 ms 9044 KB Output is correct
26 Correct 5 ms 9044 KB Output is correct
27 Correct 4 ms 8404 KB Output is correct
28 Correct 5 ms 9044 KB Output is correct
29 Correct 4 ms 9044 KB Output is correct
30 Correct 4 ms 7764 KB Output is correct
31 Correct 290 ms 19080 KB Output is correct
32 Correct 180 ms 19128 KB Output is correct
33 Correct 128 ms 19404 KB Output is correct
34 Correct 33 ms 16464 KB Output is correct
35 Correct 34 ms 19276 KB Output is correct
36 Correct 31 ms 19284 KB Output is correct
37 Correct 127 ms 18868 KB Output is correct
38 Correct 3 ms 6612 KB Output is correct
39 Correct 3 ms 6612 KB Output is correct
40 Correct 5 ms 9044 KB Output is correct
41 Correct 6 ms 9044 KB Output is correct
42 Correct 6 ms 9044 KB Output is correct
43 Correct 4 ms 8404 KB Output is correct
44 Correct 4 ms 9044 KB Output is correct
45 Correct 4 ms 9044 KB Output is correct
46 Correct 4 ms 7764 KB Output is correct
47 Correct 309 ms 247184 KB Output is correct
48 Correct 303 ms 247140 KB Output is correct
49 Correct 150 ms 186980 KB Output is correct
50 Correct 322 ms 247008 KB Output is correct
51 Correct 176 ms 247024 KB Output is correct
52 Correct 226 ms 247044 KB Output is correct
53 Correct 71 ms 127772 KB Output is correct
54 Correct 1018 ms 247592 KB Output is correct
55 Correct 946 ms 247572 KB Output is correct
56 Correct 749 ms 247768 KB Output is correct
57 Correct 121 ms 129384 KB Output is correct
58 Correct 452 ms 248532 KB Output is correct
59 Correct 483 ms 248172 KB Output is correct
60 Correct 519 ms 248180 KB Output is correct
61 Correct 394 ms 248180 KB Output is correct
62 Correct 180 ms 246948 KB Output is correct
63 Execution timed out 1602 ms 247284 KB Time limit exceeded
64 Halted 0 ms 0 KB -