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Submission #573684

# Submission time Handle Problem Language Result Execution time Memory
573684 2022-06-07T05:02:20 Z eecs Event Hopping (BOI22_events) C++17
100 / 100
 1372 ms 483308 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 6656 KB Output is correct
2 Correct 1110 ms 482428 KB Output is correct
3 Correct 1072 ms 482456 KB Output is correct
4 Correct 1174 ms 482488 KB Output is correct
5 Correct 1174 ms 482364 KB Output is correct
6 Correct 1286 ms 482420 KB Output is correct
7 Correct 1244 ms 482420 KB Output is correct
8 Correct 309 ms 247652 KB Output is correct
9 Correct 299 ms 246780 KB Output is correct
10 Correct 845 ms 483180 KB Output is correct
11 Correct 877 ms 483052 KB Output is correct
12 Correct 225 ms 246492 KB Output is correct

Subtask #2
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 5 ms 6588 KB Output is correct
2 Correct 3 ms 6612 KB Output is correct
3 Correct 8 ms 11348 KB Output is correct
4 Correct 8 ms 11292 KB Output is correct
5 Correct 8 ms 11348 KB Output is correct
6 Correct 6 ms 10196 KB Output is correct
7 Correct 8 ms 11348 KB Output is correct
8 Correct 6 ms 11348 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 5 ms 6588 KB Output is correct
2 Correct 3 ms 6612 KB Output is correct
3 Correct 8 ms 11348 KB Output is correct
4 Correct 8 ms 11292 KB Output is correct
5 Correct 8 ms 11348 KB Output is correct
6 Correct 6 ms 10196 KB Output is correct
7 Correct 8 ms 11348 KB Output is correct
8 Correct 6 ms 11348 KB Output is correct
9 Correct 5 ms 8916 KB Output is correct
10 Correct 5 ms 6612 KB Output is correct
11 Correct 4 ms 6612 KB Output is correct
12 Correct 8 ms 11292 KB Output is correct
13 Correct 8 ms 11304 KB Output is correct
14 Correct 8 ms 11348 KB Output is correct
15 Correct 7 ms 10196 KB Output is correct
16 Correct 7 ms 11344 KB Output is correct
17 Correct 9 ms 11348 KB Output is correct
18 Correct 5 ms 8916 KB Output is correct
19 Correct 301 ms 30868 KB Output is correct
20 Correct 279 ms 30856 KB Output is correct
21 Correct 206 ms 31136 KB Output is correct
22 Correct 57 ms 25332 KB Output is correct
23 Correct 52 ms 31092 KB Output is correct
24 Correct 44 ms 31004 KB Output is correct
25 Correct 233 ms 30620 KB Output is correct

Subtask #4
15.0 / 15.0

# Verdict Execution time Memory Grader output
1 Correct 5 ms 6588 KB Output is correct
2 Correct 3 ms 6612 KB Output is correct
3 Correct 8 ms 11348 KB Output is correct
4 Correct 8 ms 11292 KB Output is correct
5 Correct 8 ms 11348 KB Output is correct
6 Correct 6 ms 10196 KB Output is correct
7 Correct 8 ms 11348 KB Output is correct
8 Correct 6 ms 11348 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 9 ms 11348 KB Output is correct
13 Correct 8 ms 11360 KB Output is correct
14 Correct 7 ms 11348 KB Output is correct
15 Correct 6 ms 10136 KB Output is correct
16 Correct 7 ms 11348 KB Output is correct
17 Correct 7 ms 11348 KB Output is correct
18 Correct 5 ms 8916 KB Output is correct
19 Correct 625 ms 481716 KB Output is correct
20 Correct 628 ms 481996 KB Output is correct
21 Correct 315 ms 363028 KB Output is correct
22 Correct 665 ms 481808 KB Output is correct
23 Correct 370 ms 481756 KB Output is correct
24 Correct 439 ms 481772 KB Output is correct
25 Correct 195 ms 245196 KB Output is correct

Subtask #5
20.0 / 20.0

# Verdict Execution time Memory Grader output
1 Correct 1059 ms 482372 KB Output is correct
2 Correct 999 ms 482308 KB Output is correct
3 Correct 1045 ms 482616 KB Output is correct
4 Correct 243 ms 246736 KB Output is correct
5 Correct 732 ms 483308 KB Output is correct
6 Correct 686 ms 483052 KB Output is correct
7 Correct 653 ms 482932 KB Output is correct
8 Correct 619 ms 482804 KB Output is correct
9 Correct 343 ms 481944 KB Output is correct
10 Correct 1372 ms 482248 KB Output is correct
11 Correct 373 ms 481900 KB Output is correct
12 Correct 1036 ms 482136 KB Output is correct

Subtask #6
30.0 / 30.0

# Verdict Execution time Memory Grader output
1 Correct 3 ms 6656 KB Output is correct
2 Correct 1110 ms 482428 KB Output is correct
3 Correct 1072 ms 482456 KB Output is correct
4 Correct 1174 ms 482488 KB Output is correct
5 Correct 1174 ms 482364 KB Output is correct
6 Correct 1286 ms 482420 KB Output is correct
7 Correct 1244 ms 482420 KB Output is correct
8 Correct 309 ms 247652 KB Output is correct
9 Correct 299 ms 246780 KB Output is correct
10 Correct 845 ms 483180 KB Output is correct
11 Correct 877 ms 483052 KB Output is correct
12 Correct 225 ms 246492 KB Output is correct
13 Correct 5 ms 6588 KB Output is correct
14 Correct 3 ms 6612 KB Output is correct
15 Correct 8 ms 11348 KB Output is correct
16 Correct 8 ms 11292 KB Output is correct
17 Correct 8 ms 11348 KB Output is correct
18 Correct 6 ms 10196 KB Output is correct
19 Correct 8 ms 11348 KB Output is correct
20 Correct 6 ms 11348 KB Output is correct
21 Correct 5 ms 8916 KB Output is correct
22 Correct 5 ms 6612 KB Output is correct
23 Correct 4 ms 6612 KB Output is correct
24 Correct 8 ms 11292 KB Output is correct
25 Correct 8 ms 11304 KB Output is correct
26 Correct 8 ms 11348 KB Output is correct
27 Correct 7 ms 10196 KB Output is correct
28 Correct 7 ms 11344 KB Output is correct
29 Correct 9 ms 11348 KB Output is correct
30 Correct 5 ms 8916 KB Output is correct
31 Correct 301 ms 30868 KB Output is correct
32 Correct 279 ms 30856 KB Output is correct
33 Correct 206 ms 31136 KB Output is correct
34 Correct 57 ms 25332 KB Output is correct
35 Correct 52 ms 31092 KB Output is correct
36 Correct 44 ms 31004 KB Output is correct
37 Correct 233 ms 30620 KB Output is correct
38 Correct 3 ms 6612 KB Output is correct
39 Correct 3 ms 6612 KB Output is correct
40 Correct 9 ms 11348 KB Output is correct
41 Correct 8 ms 11360 KB Output is correct
42 Correct 7 ms 11348 KB Output is correct
43 Correct 6 ms 10136 KB Output is correct
44 Correct 7 ms 11348 KB Output is correct
45 Correct 7 ms 11348 KB Output is correct
46 Correct 5 ms 8916 KB Output is correct
47 Correct 625 ms 481716 KB Output is correct
48 Correct 628 ms 481996 KB Output is correct
49 Correct 315 ms 363028 KB Output is correct
50 Correct 665 ms 481808 KB Output is correct
51 Correct 370 ms 481756 KB Output is correct
52 Correct 439 ms 481772 KB Output is correct
53 Correct 195 ms 245196 KB Output is correct
54 Correct 1059 ms 482372 KB Output is correct
55 Correct 999 ms 482308 KB Output is correct
56 Correct 1045 ms 482616 KB Output is correct
57 Correct 243 ms 246736 KB Output is correct
58 Correct 732 ms 483308 KB Output is correct
59 Correct 686 ms 483052 KB Output is correct
60 Correct 653 ms 482932 KB Output is correct
61 Correct 619 ms 482804 KB Output is correct
62 Correct 343 ms 481944 KB Output is correct
63 Correct 1372 ms 482248 KB Output is correct
64 Correct 373 ms 481900 KB Output is correct
65 Correct 1036 ms 482136 KB Output is correct
66 Correct 3 ms 6612 KB Output is correct
67 Correct 1068 ms 482372 KB Output is correct
68 Correct 1006 ms 482444 KB Output is correct
69 Correct 1040 ms 482508 KB Output is correct
70 Correct 1056 ms 482544 KB Output is correct
71 Correct 1079 ms 482448 KB Output is correct
72 Correct 1095 ms 482344 KB Output is correct
73 Correct 236 ms 247600 KB Output is correct
74 Correct 239 ms 246756 KB Output is correct
75 Correct 739 ms 483132 KB Output is correct
76 Correct 828 ms 483148 KB Output is correct
77 Correct 215 ms 246576 KB Output is correct
78 Correct 3 ms 6612 KB Output is correct
79 Correct 9 ms 11404 KB Output is correct
80 Correct 7 ms 11304 KB Output is correct
81 Correct 7 ms 11380 KB Output is correct
82 Correct 7 ms 10180 KB Output is correct
83 Correct 9 ms 11348 KB Output is correct
84 Correct 6 ms 11348 KB Output is correct
85 Correct 5 ms 8916 KB Output is correct
86 Correct 282 ms 30828 KB Output is correct
87 Correct 267 ms 30924 KB Output is correct
88 Correct 196 ms 31176 KB Output is correct
89 Correct 52 ms 25288 KB Output is correct
90 Correct 48 ms 31052 KB Output is correct
91 Correct 38 ms 31004 KB Output is correct
92 Correct 215 ms 30712 KB Output is correct
93 Correct 580 ms 481740 KB Output is correct
94 Correct 565 ms 481912 KB Output is correct
95 Correct 304 ms 363100 KB Output is correct
96 Correct 633 ms 481740 KB Output is correct
97 Correct 339 ms 481912 KB Output is correct
98 Correct 413 ms 481740 KB Output is correct
99 Correct 192 ms 245308 KB Output is correct
100 Correct 645 ms 482904 KB Output is correct
101 Correct 649 ms 482944 KB Output is correct
102 Correct 636 ms 482768 KB Output is correct
103 Correct 1363 ms 482160 KB Output is correct
104 Correct 384 ms 481904 KB Output is correct
105 Correct 1022 ms 482248 KB Output is correct
106 Correct 717 ms 423684 KB Output is correct
107 Correct 1096 ms 482240 KB Output is correct
108 Correct 330 ms 364104 KB Output is correct
109 Correct 329 ms 364008 KB Output is correct
110 Correct 412 ms 482780 KB Output is correct
111 Correct 430 ms 482640 KB Output is correct