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Submission #937729

# Submission time Handle Problem Language Result Execution time Memory
937729 2024-03-04T12:08:06 Z LucaIlie Event Hopping (BOI22_events) C++17
100 / 100
 481 ms 50156 KB 
#include <bits/stdc++.h>

using namespace std;

const int MAX_N = 1e5;
const int MAX_LOG_N = 16;
const int MAX_T = 2e5;
const int MAX_LOG_T = 17;

struct valpos {
    int val, pos;

    bool operator < ( const valpos &x ) const {
        return val < x.val;
    }
};

struct event {
    int i, s, e;
};

int prv[MAX_LOG_N + 1][MAX_N + 1];
valpos minim[MAX_LOG_T + 1][MAX_T + 1];
event events[MAX_N + 1];
map<int, int> nrm;

bool canSwitch( event a, event b ) {
    return (b.s <= a.e && a.e <= b.e);
}

valpos queryMinim( int l, int r ) {
    int p = log2( r - l + 1 );
    return min( minim[p][l], minim[p][r - (1 << p) + 1] );
}

int main() {
    int n, q;

    cin >> n >> q;
    for ( int i = 1; i <= n; i++ ) {
        cin >> events[i].s >> events[i].e;
        nrm[events[i].s] = nrm[events[i].e] = 1;
        events[i].i = i + 1;
    }
    int t = 0;
    for ( auto p: nrm )
        nrm[p.first] = ++t;
    for ( int i = 1; i <= n; i++ ) {
        events[i].s = nrm[events[i].s];
        events[i].e = nrm[events[i].e];
    }

    for ( int i = 1; i <= t; i++ )
        minim[0][i] = { t + 1, 0 };
    for ( int i = 1; i <= n; i++ )
        minim[0][events[i].e] = min( minim[0][events[i].e], { events[i].s, i } );
    for ( int p = 1; p <= log2( t ); p++ ) {
        for ( int i = 1; i <= t - (1 << p) + 1; i++ )
            minim[p][i] = min( minim[p - 1][i], minim[p - 1][i + (1 << (p - 1))] );
    }

    for ( int i = 1; i <= n; i++ )
        prv[0][i] = queryMinim( events[i].s, events[i].e ).pos;

    for ( int p = 1; p <= log2( n ); p++ ) {
        for ( int i = 1; i <= n; i++ )
            prv[p][i] = prv[p - 1][prv[p - 1][i]];
    }

    while ( q-- ) {
        int s, e;
        cin >> s >> e;

        int i = e, x = 0;
        for ( int p = log2( n ); p >= 0; p-- ) {
            if ( events[prv[p][i]].s > events[s].e ) {
                i = prv[p][i];
                x += (1 << p);
            }
        }
        if ( events[i].s > events[s].e ) {
            i = prv[0][i];
            x++;
        }


        if ( s == e )
            cout << 0 << "\n";
        else if ( canSwitch( events[s], events[i] ) )
            cout << x + 1 << "\n";
        else
            cout << "impossible\n";
    }

    return 0;
}

Subtask #1
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 8540 KB Output is correct
2 Correct 303 ms 40600 KB Output is correct
3 Correct 308 ms 42736 KB Output is correct
4 Correct 381 ms 42792 KB Output is correct
5 Correct 315 ms 43092 KB Output is correct
6 Correct 321 ms 43640 KB Output is correct
7 Correct 328 ms 43688 KB Output is correct
8 Correct 346 ms 49776 KB Output is correct
9 Correct 332 ms 50008 KB Output is correct
10 Correct 311 ms 43092 KB Output is correct
11 Correct 320 ms 46932 KB Output is correct
12 Correct 259 ms 42624 KB Output is correct

Subtask #2
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 8540 KB Output is correct
2 Correct 1 ms 8540 KB Output is correct
3 Correct 4 ms 21012 KB Output is correct
4 Correct 4 ms 20828 KB Output is correct
5 Correct 3 ms 20828 KB Output is correct
6 Correct 4 ms 20828 KB Output is correct
7 Correct 4 ms 22876 KB Output is correct
8 Correct 5 ms 23096 KB Output is correct
9 Correct 2 ms 8540 KB Output is correct

Subtask #3
15.0 / 15.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 8540 KB Output is correct
2 Correct 1 ms 8540 KB Output is correct
3 Correct 4 ms 21012 KB Output is correct
4 Correct 4 ms 20828 KB Output is correct
5 Correct 3 ms 20828 KB Output is correct
6 Correct 4 ms 20828 KB Output is correct
7 Correct 4 ms 22876 KB Output is correct
8 Correct 5 ms 23096 KB Output is correct
9 Correct 2 ms 8540 KB Output is correct
10 Correct 1 ms 8540 KB Output is correct
11 Correct 1 ms 8540 KB Output is correct
12 Correct 4 ms 20828 KB Output is correct
13 Correct 4 ms 20824 KB Output is correct
14 Correct 3 ms 20824 KB Output is correct
15 Correct 4 ms 20824 KB Output is correct
16 Correct 4 ms 22876 KB Output is correct
17 Correct 4 ms 22876 KB Output is correct
18 Correct 2 ms 8540 KB Output is correct
19 Correct 165 ms 27840 KB Output is correct
20 Correct 164 ms 27836 KB Output is correct
21 Correct 165 ms 27992 KB Output is correct
22 Correct 160 ms 28088 KB Output is correct
23 Correct 164 ms 30424 KB Output is correct
24 Correct 163 ms 30288 KB Output is correct
25 Correct 198 ms 29976 KB Output is correct

Subtask #4
15.0 / 15.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 8540 KB Output is correct
2 Correct 1 ms 8540 KB Output is correct
3 Correct 4 ms 21012 KB Output is correct
4 Correct 4 ms 20828 KB Output is correct
5 Correct 3 ms 20828 KB Output is correct
6 Correct 4 ms 20828 KB Output is correct
7 Correct 4 ms 22876 KB Output is correct
8 Correct 5 ms 23096 KB Output is correct
9 Correct 2 ms 8540 KB Output is correct
10 Correct 2 ms 8536 KB Output is correct
11 Correct 1 ms 8540 KB Output is correct
12 Correct 4 ms 20828 KB Output is correct
13 Correct 4 ms 20876 KB Output is correct
14 Correct 3 ms 20828 KB Output is correct
15 Correct 4 ms 20828 KB Output is correct
16 Correct 5 ms 22876 KB Output is correct
17 Correct 4 ms 22876 KB Output is correct
18 Correct 2 ms 8540 KB Output is correct
19 Correct 141 ms 39048 KB Output is correct
20 Correct 120 ms 40020 KB Output is correct
21 Correct 153 ms 40724 KB Output is correct
22 Correct 160 ms 44576 KB Output is correct
23 Correct 175 ms 47700 KB Output is correct
24 Correct 179 ms 47696 KB Output is correct
25 Correct 46 ms 12872 KB Output is correct

Subtask #5
20.0 / 20.0

# Verdict Execution time Memory Grader output
1 Correct 298 ms 39508 KB Output is correct
2 Correct 326 ms 42772 KB Output is correct
3 Correct 327 ms 42660 KB Output is correct
4 Correct 346 ms 50156 KB Output is correct
5 Correct 335 ms 42948 KB Output is correct
6 Correct 410 ms 49572 KB Output is correct
7 Correct 410 ms 47444 KB Output is correct
8 Correct 379 ms 49920 KB Output is correct
9 Correct 212 ms 47576 KB Output is correct
10 Correct 377 ms 49284 KB Output is correct
11 Correct 405 ms 48972 KB Output is correct
12 Correct 365 ms 49236 KB Output is correct

Subtask #6
30.0 / 30.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 8540 KB Output is correct
2 Correct 303 ms 40600 KB Output is correct
3 Correct 308 ms 42736 KB Output is correct
4 Correct 381 ms 42792 KB Output is correct
5 Correct 315 ms 43092 KB Output is correct
6 Correct 321 ms 43640 KB Output is correct
7 Correct 328 ms 43688 KB Output is correct
8 Correct 346 ms 49776 KB Output is correct
9 Correct 332 ms 50008 KB Output is correct
10 Correct 311 ms 43092 KB Output is correct
11 Correct 320 ms 46932 KB Output is correct
12 Correct 259 ms 42624 KB Output is correct
13 Correct 1 ms 8540 KB Output is correct
14 Correct 1 ms 8540 KB Output is correct
15 Correct 4 ms 21012 KB Output is correct
16 Correct 4 ms 20828 KB Output is correct
17 Correct 3 ms 20828 KB Output is correct
18 Correct 4 ms 20828 KB Output is correct
19 Correct 4 ms 22876 KB Output is correct
20 Correct 5 ms 23096 KB Output is correct
21 Correct 2 ms 8540 KB Output is correct
22 Correct 1 ms 8540 KB Output is correct
23 Correct 1 ms 8540 KB Output is correct
24 Correct 4 ms 20828 KB Output is correct
25 Correct 4 ms 20824 KB Output is correct
26 Correct 3 ms 20824 KB Output is correct
27 Correct 4 ms 20824 KB Output is correct
28 Correct 4 ms 22876 KB Output is correct
29 Correct 4 ms 22876 KB Output is correct
30 Correct 2 ms 8540 KB Output is correct
31 Correct 165 ms 27840 KB Output is correct
32 Correct 164 ms 27836 KB Output is correct
33 Correct 165 ms 27992 KB Output is correct
34 Correct 160 ms 28088 KB Output is correct
35 Correct 164 ms 30424 KB Output is correct
36 Correct 163 ms 30288 KB Output is correct
37 Correct 198 ms 29976 KB Output is correct
38 Correct 2 ms 8536 KB Output is correct
39 Correct 1 ms 8540 KB Output is correct
40 Correct 4 ms 20828 KB Output is correct
41 Correct 4 ms 20876 KB Output is correct
42 Correct 3 ms 20828 KB Output is correct
43 Correct 4 ms 20828 KB Output is correct
44 Correct 5 ms 22876 KB Output is correct
45 Correct 4 ms 22876 KB Output is correct
46 Correct 2 ms 8540 KB Output is correct
47 Correct 141 ms 39048 KB Output is correct
48 Correct 120 ms 40020 KB Output is correct
49 Correct 153 ms 40724 KB Output is correct
50 Correct 160 ms 44576 KB Output is correct
51 Correct 175 ms 47700 KB Output is correct
52 Correct 179 ms 47696 KB Output is correct
53 Correct 46 ms 12872 KB Output is correct
54 Correct 298 ms 39508 KB Output is correct
55 Correct 326 ms 42772 KB Output is correct
56 Correct 327 ms 42660 KB Output is correct
57 Correct 346 ms 50156 KB Output is correct
58 Correct 335 ms 42948 KB Output is correct
59 Correct 410 ms 49572 KB Output is correct
60 Correct 410 ms 47444 KB Output is correct
61 Correct 379 ms 49920 KB Output is correct
62 Correct 212 ms 47576 KB Output is correct
63 Correct 377 ms 49284 KB Output is correct
64 Correct 405 ms 48972 KB Output is correct
65 Correct 365 ms 49236 KB Output is correct
66 Correct 1 ms 8540 KB Output is correct
67 Correct 341 ms 42656 KB Output is correct
68 Correct 339 ms 42736 KB Output is correct
69 Correct 338 ms 42704 KB Output is correct
70 Correct 341 ms 43080 KB Output is correct
71 Correct 331 ms 43588 KB Output is correct
72 Correct 330 ms 43824 KB Output is correct
73 Correct 357 ms 50004 KB Output is correct
74 Correct 357 ms 49808 KB Output is correct
75 Correct 308 ms 43096 KB Output is correct
76 Correct 327 ms 47056 KB Output is correct
77 Correct 247 ms 42480 KB Output is correct
78 Correct 1 ms 8536 KB Output is correct
79 Correct 3 ms 21000 KB Output is correct
80 Correct 4 ms 20828 KB Output is correct
81 Correct 4 ms 20828 KB Output is correct
82 Correct 4 ms 20828 KB Output is correct
83 Correct 4 ms 23132 KB Output is correct
84 Correct 5 ms 22988 KB Output is correct
85 Correct 2 ms 8540 KB Output is correct
86 Correct 198 ms 28752 KB Output is correct
87 Correct 179 ms 28752 KB Output is correct
88 Correct 168 ms 28952 KB Output is correct
89 Correct 161 ms 29012 KB Output is correct
90 Correct 162 ms 31276 KB Output is correct
91 Correct 163 ms 31312 KB Output is correct
92 Correct 163 ms 30800 KB Output is correct
93 Correct 140 ms 41296 KB Output is correct
94 Correct 119 ms 40064 KB Output is correct
95 Correct 142 ms 40688 KB Output is correct
96 Correct 152 ms 44584 KB Output is correct
97 Correct 172 ms 47700 KB Output is correct
98 Correct 211 ms 47528 KB Output is correct
99 Correct 49 ms 12884 KB Output is correct
100 Correct 366 ms 49532 KB Output is correct
101 Correct 358 ms 49488 KB Output is correct
102 Correct 379 ms 49740 KB Output is correct
103 Correct 367 ms 49228 KB Output is correct
104 Correct 374 ms 49060 KB Output is correct
105 Correct 368 ms 49236 KB Output is correct
106 Correct 305 ms 41044 KB Output is correct
107 Correct 333 ms 42152 KB Output is correct
108 Correct 347 ms 42900 KB Output is correct
109 Correct 313 ms 42828 KB Output is correct
110 Correct 481 ms 49412 KB Output is correct
111 Correct 415 ms 49480 KB Output is correct