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Submission #876548

# Submission time Handle Problem Language Result Execution time Memory
876548 2023-11-21T23:14:04 Z LucaIlie Passport (JOI23_passport) C++17
48 / 100
 2000 ms 370372 KB 
#include <bits/stdc++.h>

using namespace std;

const int MAX_N = 2e5 + 10;
const int INF = 1e9;
int l[MAX_N + 1], r[MAX_N + 1], minL[MAX_N + 1], maxR[MAX_N + 1], minSufL[MAX_N + 1], maxPrefR[MAX_N + 1], dist1[MAX_N + 1], distN[MAX_N + 1], dist1R[MAX_N + 1], distNR[MAX_N + 1];

int n;

struct AINT {
    struct px {
        int p, x;

        bool operator < ( const px &a ) const {
            if ( x == a.x )
                return p < a.p;
            return x < a.x;
        }
    };
    set<px> aint[4 * MAX_N];

    void insert( int v, int l, int r, int p, int x, int y ) {
        if ( l > x || r < x )
            return;

        aint[v].insert( { p, y } );
        if ( l == r )
            return;
        int mid = (l + r) / 2;
        insert( v * 2 + 1, l, mid, p, x, y );
        insert( v * 2 + 2, mid + 1, r, p, x, y );
    }

    void erase( int v, int l, int r, int p, int x, int y ) {
        if ( l > x || r < x )
            return;

        aint[v].erase( { p, y } );
        if ( l == r )
            return;
        int mid = (l + r) / 2;
        erase( v * 2 + 1, l, mid, p, x, y );
        erase( v * 2 + 2, mid + 1, r, p, x, y );
    }

    px query( int v, int l, int r, int lq, int rq ) {
        if ( l > rq || r < lq || aint[v].empty() )
            return { 0, 0 };

        if ( lq <= l && r <= rq )
            return *aint[v].rbegin();

        int mid = (l + r) / 2;
        return max( query( v * 2 + 1, l, mid, lq, rq ), query( v * 2 + 2, mid + 1, r, lq, rq ) );
    }
} aint1, aintN;

void calc_dist1() {
    struct dr {
        int i, dist, maxR;

        bool operator < ( const dr &x ) const {
            if ( dist == x.dist )
                return maxR < x.maxR;
            return dist > x.dist;
        }
    };
    for ( int i = 0; i <= n; i++ )
        dist1[i] = INF, maxR[i] = 0;

    priority_queue<dr> pq;
    dist1[1] = 0;
    maxR[1] = 0;
    pq.push( { 1, dist1[1], maxR[1] } );
    while ( !pq.empty() ) {
        auto crt = pq.top();
        pq.pop();

        int i = crt.i;

        if ( crt.dist != dist1[i] || crt.maxR != maxR[i] )
            continue;

        auto a = aint1.query( 0, 1, n, 1, i );
        while ( a.x >= i ) {
            int j = a.p;
            if ( dist1[i] + 1 <= dist1[j] && max( maxR[i], r[j] ) > maxR[j] ) {
                dist1[j] = dist1[i] + 1;
                maxR[j] = max( maxR[i], r[j] );
                pq.push( { j, dist1[j], maxR[j] } );
            }
            aint1.erase( 0, 1, n, j, l[j], r[j] );
            a = aint1.query( 0, 1, n, 1, i );
        }
    }
    dist1[1] = 1;
    maxR[1] = r[1];
}

void calc_distN() {
    struct dr {
        int i, dist, minL;

        bool operator < ( const dr &x ) const {
            if ( dist == x.dist )
                return minL > x.minL;
            return dist > x.dist;
        }
    };
    for ( int i = 0; i <= n; i++ )
        distN[i] = INF, minL[i] = n + 1;

    priority_queue<dr> pq;
    distN[n] = 0;
    minL[n] = n + 1;
    pq.push( { n, distN[n], minL[n] } );
    while ( !pq.empty() ) {
        auto crt = pq.top();
        pq.pop();

        int i = crt.i;
        if ( crt.dist != distN[i] || crt.minL != minL[i] )
            continue;

        auto a = aintN.query( 0, 1, n, 1, i );
        while ( a.x >= i ) {
            int j = a.p;
            if ( distN[i] + 1 <= distN[j] && min( minL[i], l[j] ) < minL[j] ) {
                distN[j] = distN[i] + 1;
                minL[j] = min( minL[i], l[j] );
                pq.push( { j, distN[j], minL[j] } );
            }
            aintN.erase( 0, 1, n, j, l[j], r[j] );
            a = aintN.query( 0, 1, n, 1, i );
        }
    }
    distN[n] = 1;
    minL[n] = r[n];
}

void calc_dist1_rest() {
    for ( int i = 0; i <= n; i++ )
        dist1R[i] = INF;
    minSufL[n] = l[n];
    for ( int i = n - 1; i >= 1; i-- )
        minSufL[i] = min( minSufL[i + 1], l[i] );
    dist1R[1] = 0;
    for ( int i = 2; i <= n; i++ )
        dist1R[i] = dist1R[minSufL[i]] + 1;
}

void calc_distN_rest() {
    for ( int i = n - 1; i >= 0; i-- )
        distNR[i] = INF;
    for ( int i = 1; i <= n; i++ )
        maxPrefR[i] = max( maxPrefR[i - 1], r[i] );
    distNR[n] = 0;
    for ( int i = n - 1; i >= 1; i-- )
        distNR[i] = distNR[maxPrefR[i]] + 1;
}

int main() {
    ios_base::sync_with_stdio( false );
    cin.tie( NULL );
    cout.tie( NULL );

    int q;

    cin >> n;
    for ( int i = 1; i <= n; i++ ) {
        cin >> l[i] >> r[i];
        aint1.insert( 0, 1, n, i, l[i], r[i] );
        aintN.insert( 0, 1, n, i, l[i], r[i] );
    }

    if ( n <= 2500 ) {
         calc_dist1();
         calc_distN();
         calc_dist1_rest();
         calc_distN_rest();
    }
   
    cin >> q;
    while ( q-- ) {
        int x;
        cin >> x;
        int ans = min( distN[x] + dist1R[minL[x]], dist1[x] + distNR[maxR[x]] );
        cout << (ans > n ? -1 : ans) << "\n";
    }

    return 0;
}

Subtask #1
0 / 6.0

# Verdict Execution time Memory Grader output
1 Correct 25 ms 82524 KB Output is correct
2 Correct 16 ms 82524 KB Output is correct
3 Correct 15 ms 82524 KB Output is correct
4 Execution timed out 2093 ms 370372 KB Time limit exceeded
5 Halted 0 ms 0 KB -

Subtask #2
16.0 / 16.0

# Verdict Execution time Memory Grader output
1 Correct 16 ms 82512 KB Output is correct
2 Correct 15 ms 82776 KB Output is correct
3 Correct 16 ms 82524 KB Output is correct
4 Correct 16 ms 82524 KB Output is correct
5 Correct 16 ms 82644 KB Output is correct
6 Correct 18 ms 82524 KB Output is correct
7 Correct 16 ms 82524 KB Output is correct
8 Correct 16 ms 82704 KB Output is correct
9 Correct 15 ms 82520 KB Output is correct
10 Correct 15 ms 82904 KB Output is correct
11 Correct 17 ms 82780 KB Output is correct
12 Correct 16 ms 82780 KB Output is correct
13 Correct 17 ms 82952 KB Output is correct
14 Correct 16 ms 82780 KB Output is correct
15 Correct 16 ms 82780 KB Output is correct

Subtask #3
24.0 / 24.0

# Verdict Execution time Memory Grader output
1 Correct 16 ms 82512 KB Output is correct
2 Correct 15 ms 82776 KB Output is correct
3 Correct 16 ms 82524 KB Output is correct
4 Correct 16 ms 82524 KB Output is correct
5 Correct 16 ms 82644 KB Output is correct
6 Correct 18 ms 82524 KB Output is correct
7 Correct 16 ms 82524 KB Output is correct
8 Correct 16 ms 82704 KB Output is correct
9 Correct 15 ms 82520 KB Output is correct
10 Correct 15 ms 82904 KB Output is correct
11 Correct 17 ms 82780 KB Output is correct
12 Correct 16 ms 82780 KB Output is correct
13 Correct 17 ms 82952 KB Output is correct
14 Correct 16 ms 82780 KB Output is correct
15 Correct 16 ms 82780 KB Output is correct
16 Correct 28 ms 85340 KB Output is correct
17 Correct 26 ms 85460 KB Output is correct
18 Correct 26 ms 85592 KB Output is correct
19 Correct 26 ms 85340 KB Output is correct
20 Correct 25 ms 85592 KB Output is correct
21 Correct 25 ms 85616 KB Output is correct
22 Correct 25 ms 85596 KB Output is correct
23 Correct 26 ms 85596 KB Output is correct
24 Correct 27 ms 85596 KB Output is correct

Subtask #4
8.0 / 8.0

# Verdict Execution time Memory Grader output
1 Correct 16 ms 82512 KB Output is correct
2 Correct 15 ms 82776 KB Output is correct
3 Correct 16 ms 82524 KB Output is correct
4 Correct 16 ms 82524 KB Output is correct
5 Correct 16 ms 82644 KB Output is correct
6 Correct 18 ms 82524 KB Output is correct
7 Correct 16 ms 82524 KB Output is correct
8 Correct 16 ms 82704 KB Output is correct
9 Correct 15 ms 82520 KB Output is correct
10 Correct 15 ms 82904 KB Output is correct
11 Correct 17 ms 82780 KB Output is correct
12 Correct 16 ms 82780 KB Output is correct
13 Correct 17 ms 82952 KB Output is correct
14 Correct 16 ms 82780 KB Output is correct
15 Correct 16 ms 82780 KB Output is correct
16 Correct 28 ms 85340 KB Output is correct
17 Correct 26 ms 85460 KB Output is correct
18 Correct 26 ms 85592 KB Output is correct
19 Correct 26 ms 85340 KB Output is correct
20 Correct 25 ms 85592 KB Output is correct
21 Correct 25 ms 85616 KB Output is correct
22 Correct 25 ms 85596 KB Output is correct
23 Correct 26 ms 85596 KB Output is correct
24 Correct 27 ms 85596 KB Output is correct
25 Correct 16 ms 82524 KB Output is correct
26 Correct 16 ms 82616 KB Output is correct
27 Correct 29 ms 85336 KB Output is correct
28 Correct 28 ms 85592 KB Output is correct
29 Correct 24 ms 85636 KB Output is correct
30 Correct 26 ms 85412 KB Output is correct
31 Correct 28 ms 85596 KB Output is correct

Subtask #5
0 / 46.0

# Verdict Execution time Memory Grader output
1 Correct 25 ms 82524 KB Output is correct
2 Correct 16 ms 82524 KB Output is correct
3 Correct 15 ms 82524 KB Output is correct
4 Execution timed out 2093 ms 370372 KB Time limit exceeded
5 Halted 0 ms 0 KB -