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Submission #633424

# Submission time Handle Problem Language Result Execution time Memory
633424 2022-08-22T12:46:39 Z Lawliet Radio Towers (IOI22_towers) C++17
37 / 100
 1026 ms 20916 KB 
#include "towers.h"
#include <bits/stdc++.h>

using namespace std;

const int maxl = 20;
const int maxn = 100010;
const int inf = 1000000010;

class SparseTable
{
    public:

        void build(int n, vector<int> v, bool mn = false)
        {
            isMin = mn;

            for(int i = 1 ; i <= n ; i++)
                tab[0][i] = (mn ? -v[i] : v[i]);

            for(int k = 1 ; k < maxl ; k++)
                for(int i = 1 ; i + (1 << k) - 1 <= n ; i++)
                    tab[k][i] = max( tab[k - 1][i] , tab[k - 1][i + (1 << (k - 1))] ); 
        }

        int query(int l, int r)
        {
            if( l > r )
                return (isMin ? inf : -inf);

            int t = 31 - __builtin_clz(r - l + 1);
            int ans = max( tab[t][l] , tab[t][r - (1 << t) + 1] );

            return (isMin ? -ans : ans);
        }

    protected:

        bool isMin;
        int tab[maxl][maxn];
};

int n;

int v[maxn];

bool hasBuilt = false;

SparseTable stV, stR, stL;

vector<int> valleys, optL, optR;

bool isValid(int i, int j, int D)
{
    int peak = stV.query( i + 1 , j - 1 );

    if( v[i] <= peak - D && v[j] <= peak - D )
        return true;

    return false;
}

int findOptL(int i, int D)
{
    int l = 1, r = i - 1;

    if( v[i] > stV.query( l , i - 1 ) - D )
        return 0;

    while( l < r )
    {
        int m = ( l + r )/2;
        if( l == r - 1 ) m = r;

        if( v[i] <= stV.query( m , i - 1 ) - D )
            l = m;
        else
            r = m - 1;
    }

    return l;
}

int findOptR(int i, int D)
{
    int l = i + 1, r = n;

    if( v[i] > stV.query( i + 1 , r ) - D )
        return n + 1;

    while( l < r )
    {
        int m = ( l + r )/2;

        if( v[i] <= stV.query( i + 1 , m ) - D )
            r = m;
        else
            l = m + 1;
    }

    return r;
}

void buildHistogram(int D)
{
    optL.resize( n + 1 );
    optR.resize( n + 1 );

    for(int i = 1 ; i <= n ; i++)
    {
        optL[i] = findOptL(i, D);
        optR[i] = findOptR(i, D);
    }
}

void build(int D)
{
    buildHistogram(D);

    stR.build( n , optR , true );
    stL.build( n , optL );

    for(int i = 1 ; i <= n ; i++)
    {
        while( !valleys.empty() )
        {
            int j = valleys.back();

            if( isValid( j , i , D ) )
            {
                valleys.push_back( i );
                break;
            }

            if( v[j] < v[i] )
                break;

            valleys.pop_back();
        }

        if( valleys.empty() )
            valleys.push_back( i );
    }

    hasBuilt = true;
}

void init(int N, vector<int> H) {
    n = N;

    H.insert( H.begin() , 0 );

    for(int i = 1 ; i <= n ; i++)
        v[i] = H[i];

    stV.build( n , H );
}

bool newPairL(int L, int opt)
{
    int l = L, r = optL[opt] - 1;

    if( stR.query( l , r ) < opt )
        return true;

    return false;
}

bool newPairR(int R, int opt)
{
    int l = optR[opt] + 1, r = R;

    if( opt < stL.query( l , r ) )
        return true;

    return false;
}

int max_towers(int L, int R, int D) 
{
    if( !hasBuilt )
        build( D );

    L++; R++;

    if( R - L + 1 <= 2 )
        return 1;

    int pL = lower_bound( valleys.begin() , valleys.end() , L ) - valleys.begin();
    int pR = upper_bound( valleys.begin() , valleys.end() , R ) - valleys.begin();

    if( pL == pR )
    {
        if( newPairL( L , R ) || newPairR( R , L ) )
            return 2;

        return 1;
    }

    int ans = pR - pL;

    if( newPairL( L , valleys[pL] ) )
        ans++;

    if( newPairR( R , valleys[pR - 1] ) )
        ans++;

    return ans;
}

Subtask #1
0 / 4.0

# Verdict Execution time Memory Grader output
1 Incorrect 429 ms 11980 KB 31st lines differ - on the 1st token, expected: '1', found: '2'
2 Halted 0 ms 0 KB -

Subtask #2
11.0 / 11.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 464 KB Output is correct
2 Correct 1 ms 592 KB Output is correct
3 Correct 1 ms 592 KB Output is correct
4 Correct 1 ms 592 KB Output is correct
5 Correct 1 ms 592 KB Output is correct
6 Correct 1 ms 692 KB Output is correct
7 Correct 1 ms 592 KB Output is correct
8 Correct 1 ms 592 KB Output is correct
9 Correct 1 ms 592 KB Output is correct
10 Correct 1 ms 592 KB Output is correct
11 Correct 1 ms 592 KB Output is correct
12 Correct 0 ms 336 KB Output is correct
13 Correct 2 ms 592 KB Output is correct
14 Correct 1 ms 592 KB Output is correct
15 Correct 1 ms 720 KB Output is correct
16 Correct 1 ms 720 KB Output is correct
17 Correct 1 ms 592 KB Output is correct
18 Correct 1 ms 592 KB Output is correct
19 Correct 1 ms 592 KB Output is correct
20 Correct 1 ms 592 KB Output is correct
21 Correct 1 ms 720 KB Output is correct
22 Correct 1 ms 720 KB Output is correct
23 Correct 1 ms 592 KB Output is correct
24 Correct 1 ms 592 KB Output is correct
25 Correct 1 ms 464 KB Output is correct
26 Correct 1 ms 592 KB Output is correct
27 Correct 1 ms 592 KB Output is correct
28 Correct 1 ms 592 KB Output is correct
29 Correct 1 ms 592 KB Output is correct
30 Correct 1 ms 592 KB Output is correct
31 Correct 2 ms 592 KB Output is correct
32 Correct 1 ms 592 KB Output is correct
33 Correct 1 ms 592 KB Output is correct
34 Correct 1 ms 592 KB Output is correct
35 Correct 1 ms 592 KB Output is correct

Subtask #3
12.0 / 12.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 464 KB Output is correct
2 Correct 1 ms 592 KB Output is correct
3 Correct 1 ms 592 KB Output is correct
4 Correct 1 ms 592 KB Output is correct
5 Correct 1 ms 592 KB Output is correct
6 Correct 1 ms 692 KB Output is correct
7 Correct 1 ms 592 KB Output is correct
8 Correct 1 ms 592 KB Output is correct
9 Correct 1 ms 592 KB Output is correct
10 Correct 1 ms 592 KB Output is correct
11 Correct 1 ms 592 KB Output is correct
12 Correct 0 ms 336 KB Output is correct
13 Correct 2 ms 592 KB Output is correct
14 Correct 1 ms 592 KB Output is correct
15 Correct 1 ms 720 KB Output is correct
16 Correct 1 ms 720 KB Output is correct
17 Correct 1 ms 592 KB Output is correct
18 Correct 1 ms 592 KB Output is correct
19 Correct 1 ms 592 KB Output is correct
20 Correct 1 ms 592 KB Output is correct
21 Correct 1 ms 720 KB Output is correct
22 Correct 1 ms 720 KB Output is correct
23 Correct 1 ms 592 KB Output is correct
24 Correct 1 ms 592 KB Output is correct
25 Correct 1 ms 464 KB Output is correct
26 Correct 1 ms 592 KB Output is correct
27 Correct 1 ms 592 KB Output is correct
28 Correct 1 ms 592 KB Output is correct
29 Correct 1 ms 592 KB Output is correct
30 Correct 1 ms 592 KB Output is correct
31 Correct 2 ms 592 KB Output is correct
32 Correct 1 ms 592 KB Output is correct
33 Correct 1 ms 592 KB Output is correct
34 Correct 1 ms 592 KB Output is correct
35 Correct 1 ms 592 KB Output is correct
36 Correct 26 ms 13196 KB Output is correct
37 Correct 38 ms 20756 KB Output is correct
38 Correct 36 ms 20680 KB Output is correct
39 Correct 27 ms 20696 KB Output is correct
40 Correct 38 ms 20712 KB Output is correct
41 Correct 34 ms 20760 KB Output is correct
42 Correct 42 ms 20832 KB Output is correct
43 Correct 34 ms 20724 KB Output is correct
44 Correct 32 ms 20832 KB Output is correct
45 Correct 34 ms 20752 KB Output is correct
46 Correct 32 ms 20704 KB Output is correct
47 Correct 44 ms 20748 KB Output is correct
48 Correct 41 ms 20764 KB Output is correct
49 Correct 46 ms 20792 KB Output is correct
50 Correct 33 ms 20688 KB Output is correct
51 Correct 33 ms 20780 KB Output is correct
52 Correct 44 ms 20708 KB Output is correct
53 Correct 39 ms 20832 KB Output is correct
54 Correct 39 ms 20752 KB Output is correct
55 Correct 31 ms 20748 KB Output is correct
56 Correct 35 ms 20764 KB Output is correct
57 Correct 35 ms 20044 KB Output is correct
58 Correct 39 ms 20756 KB Output is correct
59 Correct 39 ms 20692 KB Output is correct
60 Correct 45 ms 20908 KB Output is correct
61 Correct 43 ms 20720 KB Output is correct
62 Correct 40 ms 20708 KB Output is correct
63 Correct 44 ms 20752 KB Output is correct
64 Correct 37 ms 20752 KB Output is correct
65 Correct 30 ms 20740 KB Output is correct
66 Correct 33 ms 20760 KB Output is correct
67 Correct 29 ms 20752 KB Output is correct

Subtask #4
14.0 / 14.0

# Verdict Execution time Memory Grader output
1 Correct 655 ms 20672 KB Output is correct
2 Correct 851 ms 20772 KB Output is correct
3 Correct 829 ms 20668 KB Output is correct
4 Correct 784 ms 20752 KB Output is correct
5 Correct 753 ms 20792 KB Output is correct
6 Correct 819 ms 20784 KB Output is correct
7 Correct 952 ms 20916 KB Output is correct
8 Correct 1026 ms 20700 KB Output is correct
9 Correct 522 ms 20664 KB Output is correct
10 Correct 923 ms 20664 KB Output is correct
11 Correct 833 ms 20764 KB Output is correct
12 Correct 770 ms 20776 KB Output is correct
13 Correct 747 ms 20740 KB Output is correct
14 Correct 1 ms 336 KB Output is correct
15 Correct 1 ms 592 KB Output is correct
16 Correct 1 ms 592 KB Output is correct
17 Correct 44 ms 20712 KB Output is correct
18 Correct 43 ms 20752 KB Output is correct
19 Correct 40 ms 20712 KB Output is correct
20 Correct 31 ms 20760 KB Output is correct
21 Correct 31 ms 20664 KB Output is correct
22 Correct 42 ms 20752 KB Output is correct
23 Correct 54 ms 20908 KB Output is correct
24 Correct 43 ms 20788 KB Output is correct
25 Correct 38 ms 20680 KB Output is correct
26 Correct 36 ms 20664 KB Output is correct
27 Correct 1 ms 592 KB Output is correct
28 Correct 1 ms 592 KB Output is correct
29 Correct 1 ms 592 KB Output is correct
30 Correct 1 ms 592 KB Output is correct
31 Correct 1 ms 592 KB Output is correct
32 Correct 1 ms 592 KB Output is correct
33 Correct 1 ms 720 KB Output is correct
34 Correct 1 ms 592 KB Output is correct
35 Correct 1 ms 592 KB Output is correct
36 Correct 1 ms 592 KB Output is correct

Subtask #5
0 / 17.0

# Verdict Execution time Memory Grader output
1 Incorrect 298 ms 4716 KB 2nd lines differ - on the 1st token, expected: '7063', found: '7197'
2 Halted 0 ms 0 KB -

Subtask #6
0 / 19.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 464 KB Output is correct
2 Correct 1 ms 592 KB Output is correct
3 Correct 1 ms 592 KB Output is correct
4 Correct 1 ms 592 KB Output is correct
5 Correct 1 ms 592 KB Output is correct
6 Correct 1 ms 692 KB Output is correct
7 Correct 1 ms 592 KB Output is correct
8 Correct 1 ms 592 KB Output is correct
9 Correct 1 ms 592 KB Output is correct
10 Correct 1 ms 592 KB Output is correct
11 Correct 1 ms 592 KB Output is correct
12 Correct 0 ms 336 KB Output is correct
13 Correct 2 ms 592 KB Output is correct
14 Correct 1 ms 592 KB Output is correct
15 Correct 1 ms 720 KB Output is correct
16 Correct 1 ms 720 KB Output is correct
17 Correct 1 ms 592 KB Output is correct
18 Correct 1 ms 592 KB Output is correct
19 Correct 1 ms 592 KB Output is correct
20 Correct 1 ms 592 KB Output is correct
21 Correct 1 ms 720 KB Output is correct
22 Correct 1 ms 720 KB Output is correct
23 Correct 1 ms 592 KB Output is correct
24 Correct 1 ms 592 KB Output is correct
25 Correct 1 ms 464 KB Output is correct
26 Correct 1 ms 592 KB Output is correct
27 Correct 1 ms 592 KB Output is correct
28 Correct 1 ms 592 KB Output is correct
29 Correct 1 ms 592 KB Output is correct
30 Correct 1 ms 592 KB Output is correct
31 Correct 2 ms 592 KB Output is correct
32 Correct 1 ms 592 KB Output is correct
33 Correct 1 ms 592 KB Output is correct
34 Correct 1 ms 592 KB Output is correct
35 Correct 1 ms 592 KB Output is correct
36 Correct 26 ms 13196 KB Output is correct
37 Correct 38 ms 20756 KB Output is correct
38 Correct 36 ms 20680 KB Output is correct
39 Correct 27 ms 20696 KB Output is correct
40 Correct 38 ms 20712 KB Output is correct
41 Correct 34 ms 20760 KB Output is correct
42 Correct 42 ms 20832 KB Output is correct
43 Correct 34 ms 20724 KB Output is correct
44 Correct 32 ms 20832 KB Output is correct
45 Correct 34 ms 20752 KB Output is correct
46 Correct 32 ms 20704 KB Output is correct
47 Correct 44 ms 20748 KB Output is correct
48 Correct 41 ms 20764 KB Output is correct
49 Correct 46 ms 20792 KB Output is correct
50 Correct 33 ms 20688 KB Output is correct
51 Correct 33 ms 20780 KB Output is correct
52 Correct 44 ms 20708 KB Output is correct
53 Correct 39 ms 20832 KB Output is correct
54 Correct 39 ms 20752 KB Output is correct
55 Correct 31 ms 20748 KB Output is correct
56 Correct 35 ms 20764 KB Output is correct
57 Correct 35 ms 20044 KB Output is correct
58 Correct 39 ms 20756 KB Output is correct
59 Correct 39 ms 20692 KB Output is correct
60 Correct 45 ms 20908 KB Output is correct
61 Correct 43 ms 20720 KB Output is correct
62 Correct 40 ms 20708 KB Output is correct
63 Correct 44 ms 20752 KB Output is correct
64 Correct 37 ms 20752 KB Output is correct
65 Correct 30 ms 20740 KB Output is correct
66 Correct 33 ms 20760 KB Output is correct
67 Correct 29 ms 20752 KB Output is correct
68 Correct 655 ms 20672 KB Output is correct
69 Correct 851 ms 20772 KB Output is correct
70 Correct 829 ms 20668 KB Output is correct
71 Correct 784 ms 20752 KB Output is correct
72 Correct 753 ms 20792 KB Output is correct
73 Correct 819 ms 20784 KB Output is correct
74 Correct 952 ms 20916 KB Output is correct
75 Correct 1026 ms 20700 KB Output is correct
76 Correct 522 ms 20664 KB Output is correct
77 Correct 923 ms 20664 KB Output is correct
78 Correct 833 ms 20764 KB Output is correct
79 Correct 770 ms 20776 KB Output is correct
80 Correct 747 ms 20740 KB Output is correct
81 Correct 1 ms 336 KB Output is correct
82 Correct 1 ms 592 KB Output is correct
83 Correct 1 ms 592 KB Output is correct
84 Correct 44 ms 20712 KB Output is correct
85 Correct 43 ms 20752 KB Output is correct
86 Correct 40 ms 20712 KB Output is correct
87 Correct 31 ms 20760 KB Output is correct
88 Correct 31 ms 20664 KB Output is correct
89 Correct 42 ms 20752 KB Output is correct
90 Correct 54 ms 20908 KB Output is correct
91 Correct 43 ms 20788 KB Output is correct
92 Correct 38 ms 20680 KB Output is correct
93 Correct 36 ms 20664 KB Output is correct
94 Correct 1 ms 592 KB Output is correct
95 Correct 1 ms 592 KB Output is correct
96 Correct 1 ms 592 KB Output is correct
97 Correct 1 ms 592 KB Output is correct
98 Correct 1 ms 592 KB Output is correct
99 Correct 1 ms 592 KB Output is correct
100 Correct 1 ms 720 KB Output is correct
101 Correct 1 ms 592 KB Output is correct
102 Correct 1 ms 592 KB Output is correct
103 Correct 1 ms 592 KB Output is correct
104 Correct 794 ms 18380 KB Output is correct
105 Correct 914 ms 20720 KB Output is correct
106 Correct 864 ms 20752 KB Output is correct
107 Correct 692 ms 20664 KB Output is correct
108 Incorrect 906 ms 20776 KB 19976th lines differ - on the 1st token, expected: '2', found: '1'
109 Halted 0 ms 0 KB -

Subtask #7
0 / 23.0

# Verdict Execution time Memory Grader output
1 Incorrect 429 ms 11980 KB 31st lines differ - on the 1st token, expected: '1', found: '2'
2 Halted 0 ms 0 KB -