oj.uz

Submission #1014850

# Submission time Handle Problem Language Result Execution time Memory
1014850 2024-07-05T15:48:58 Z alexdd Bitaro's travel (JOI23_travel) C++17
100 / 100
 248 ms 61968 KB 
#include<bits/stdc++.h>
using namespace std;

/*ifstream fin("input.in");
ofstream fout("output.out");
#define cin fin
#define cout fout*/

#define int long long
int n;
int a[200005];
int rmq[2][18][200005];
int p2[200005];
int qry(int le, int ri, int c)
{
    int p = p2[ri-le+1];
    return max(rmq[c][p][le], rmq[c][p][ri-(1<<p)+1]);
}
int solve(int le, int ri, int poz)
{
    if(le==1 && ri==n)
        return 0;
    if(le==1)
    {
        return a[n]-poz;
    }
    else if(ri==n)
    {
        return poz-a[1];
    }
    if(le>1 && (ri==n || poz-a[le-1] <= a[ri+1]-poz))///merge spre stanga
    {
        int st=2,dr=le,ans=le;
        while(st<=dr)
        {
            int mij=(st+dr)/2;
            if(qry(mij,le,0) <= a[ri+1])
            {
                ans=mij;
                dr=mij-1;
            }
            else
                st=mij+1;
        }
        return solve(ans-1,ri,a[ans-1]) + poz-a[ans-1];
    }
    else///merge spre dreapta
    {
        int st=ri+1,dr=n,ans=ri+1;
        while(st<=dr)
        {
            int mij=(st+dr)/2;
            if(qry(ri+1,mij,1) < -a[le-1])
            {
                ans=mij;
                st=mij+1;
            }
            else
                dr=mij-1;
        }
        return solve(le,ans,a[ans]) + a[ans]-poz;
    }
}
///a[x]-a[x-1] <= a[ri]-a[x]
///2*a[x]-a[x-1] <= a[ri]
///a[x]-a[x-1] <= a[x-1] - a[le]
///a[x]-2*a[x-1] <= -a[le]
signed main()
{
    ios_base::sync_with_stdio(0);cin.tie(0);
    cin>>n;
    for(int i=1;i<=n;i++)
    {
        cin>>a[i];
        rmq[0][0][i] = 2*a[i]-a[i-1];
        rmq[1][0][i] = a[i]-2*a[i-1];
    }
    for(int p=1;p<18;p++)
    {
        for(int i=1;i+(1<<p)-1<=n;i++)
        {
            rmq[0][p][i] = max(rmq[0][p-1][i], rmq[0][p-1][i+(1<<(p-1))]);
            rmq[1][p][i] = max(rmq[1][p-1][i], rmq[1][p-1][i+(1<<(p-1))]);
        }
    }
    for(int i=1;i<=n;i++)
    {
        p2[i]=0;
        while(p2[i]+1<18 && (1<<(p2[i]+1))<=i)
            p2[i]++;
    }

    int q,s;
    cin>>q;
    while(q--)
    {
        cin>>s;
        if(s<=a[1])
            cout<<solve(1,1,a[1])+(a[1]-s)<<"\n";
        else if(s>=a[n])
            cout<<solve(n,n,a[n])+(s-a[n])<<"\n";
        else
        {
            int st=1,dr=n-1,ans=n;
            while(st<=dr)
            {
                int mij=(st+dr)/2;
                if(a[mij]>=s)
                {
                    ans=mij;
                    dr=mij-1;
                }
                else
                    st=mij+1;
            }
            if(ans==1 || a[ans]-s < s-a[ans-1]) cout<<solve(ans,ans,a[ans])+(a[ans]-s)<<"\n";
            else cout<<solve(ans-1,ans-1,a[ans-1])+(s-a[ans-1])<<"\n";
        }
    }
    return 0;
}

Subtask #1
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 344 KB Output is correct
2 Correct 1 ms 860 KB Output is correct
3 Correct 1 ms 860 KB Output is correct
4 Correct 1 ms 860 KB Output is correct
5 Correct 1 ms 796 KB Output is correct
6 Correct 1 ms 856 KB Output is correct
7 Correct 1 ms 856 KB Output is correct
8 Correct 1 ms 348 KB Output is correct
9 Correct 0 ms 344 KB Output is correct
10 Correct 1 ms 344 KB Output is correct
11 Correct 1 ms 344 KB Output is correct
12 Correct 0 ms 348 KB Output is correct
13 Correct 1 ms 348 KB Output is correct
14 Correct 1 ms 860 KB Output is correct
15 Correct 1 ms 860 KB Output is correct
16 Correct 0 ms 988 KB Output is correct

Subtask #2
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 344 KB Output is correct
2 Correct 1 ms 860 KB Output is correct
3 Correct 1 ms 860 KB Output is correct
4 Correct 1 ms 860 KB Output is correct
5 Correct 1 ms 796 KB Output is correct
6 Correct 1 ms 856 KB Output is correct
7 Correct 1 ms 856 KB Output is correct
8 Correct 1 ms 348 KB Output is correct
9 Correct 0 ms 344 KB Output is correct
10 Correct 1 ms 344 KB Output is correct
11 Correct 1 ms 344 KB Output is correct
12 Correct 0 ms 348 KB Output is correct
13 Correct 1 ms 348 KB Output is correct
14 Correct 1 ms 860 KB Output is correct
15 Correct 1 ms 860 KB Output is correct
16 Correct 0 ms 988 KB Output is correct
17 Correct 40 ms 57856 KB Output is correct
18 Correct 40 ms 57684 KB Output is correct
19 Correct 41 ms 57680 KB Output is correct
20 Correct 40 ms 57684 KB Output is correct
21 Correct 42 ms 57764 KB Output is correct
22 Correct 43 ms 57680 KB Output is correct
23 Correct 42 ms 57680 KB Output is correct
24 Correct 51 ms 57684 KB Output is correct
25 Correct 40 ms 57680 KB Output is correct
26 Correct 41 ms 57684 KB Output is correct
27 Correct 46 ms 57680 KB Output is correct
28 Correct 43 ms 57684 KB Output is correct
29 Correct 40 ms 57684 KB Output is correct
30 Correct 40 ms 57676 KB Output is correct
31 Correct 51 ms 57764 KB Output is correct

Subtask #3
30.0 / 30.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 348 KB Output is correct
2 Correct 0 ms 348 KB Output is correct
3 Correct 0 ms 344 KB Output is correct
4 Correct 1 ms 348 KB Output is correct
5 Correct 0 ms 348 KB Output is correct
6 Correct 0 ms 348 KB Output is correct
7 Correct 102 ms 59852 KB Output is correct
8 Correct 92 ms 59848 KB Output is correct
9 Correct 107 ms 59732 KB Output is correct
10 Correct 94 ms 59732 KB Output is correct
11 Correct 98 ms 59728 KB Output is correct
12 Correct 101 ms 59836 KB Output is correct
13 Correct 27 ms 4180 KB Output is correct
14 Correct 18 ms 1628 KB Output is correct
15 Correct 102 ms 60904 KB Output is correct
16 Correct 95 ms 60916 KB Output is correct
17 Correct 104 ms 60808 KB Output is correct
18 Correct 27 ms 4176 KB Output is correct

Subtask #4
55.0 / 55.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 344 KB Output is correct
2 Correct 1 ms 860 KB Output is correct
3 Correct 1 ms 860 KB Output is correct
4 Correct 1 ms 860 KB Output is correct
5 Correct 1 ms 796 KB Output is correct
6 Correct 1 ms 856 KB Output is correct
7 Correct 1 ms 856 KB Output is correct
8 Correct 1 ms 348 KB Output is correct
9 Correct 0 ms 344 KB Output is correct
10 Correct 1 ms 344 KB Output is correct
11 Correct 1 ms 344 KB Output is correct
12 Correct 0 ms 348 KB Output is correct
13 Correct 1 ms 348 KB Output is correct
14 Correct 1 ms 860 KB Output is correct
15 Correct 1 ms 860 KB Output is correct
16 Correct 0 ms 988 KB Output is correct
17 Correct 40 ms 57856 KB Output is correct
18 Correct 40 ms 57684 KB Output is correct
19 Correct 41 ms 57680 KB Output is correct
20 Correct 40 ms 57684 KB Output is correct
21 Correct 42 ms 57764 KB Output is correct
22 Correct 43 ms 57680 KB Output is correct
23 Correct 42 ms 57680 KB Output is correct
24 Correct 51 ms 57684 KB Output is correct
25 Correct 40 ms 57680 KB Output is correct
26 Correct 41 ms 57684 KB Output is correct
27 Correct 46 ms 57680 KB Output is correct
28 Correct 43 ms 57684 KB Output is correct
29 Correct 40 ms 57684 KB Output is correct
30 Correct 40 ms 57676 KB Output is correct
31 Correct 51 ms 57764 KB Output is correct
32 Correct 1 ms 348 KB Output is correct
33 Correct 0 ms 348 KB Output is correct
34 Correct 0 ms 344 KB Output is correct
35 Correct 1 ms 348 KB Output is correct
36 Correct 0 ms 348 KB Output is correct
37 Correct 0 ms 348 KB Output is correct
38 Correct 102 ms 59852 KB Output is correct
39 Correct 92 ms 59848 KB Output is correct
40 Correct 107 ms 59732 KB Output is correct
41 Correct 94 ms 59732 KB Output is correct
42 Correct 98 ms 59728 KB Output is correct
43 Correct 101 ms 59836 KB Output is correct
44 Correct 27 ms 4180 KB Output is correct
45 Correct 18 ms 1628 KB Output is correct
46 Correct 102 ms 60904 KB Output is correct
47 Correct 95 ms 60916 KB Output is correct
48 Correct 104 ms 60808 KB Output is correct
49 Correct 27 ms 4176 KB Output is correct
50 Correct 224 ms 61848 KB Output is correct
51 Correct 217 ms 61968 KB Output is correct
52 Correct 248 ms 61860 KB Output is correct
53 Correct 163 ms 61780 KB Output is correct
54 Correct 153 ms 61776 KB Output is correct
55 Correct 148 ms 61776 KB Output is correct
56 Correct 85 ms 61780 KB Output is correct
57 Correct 85 ms 61640 KB Output is correct
58 Correct 86 ms 61864 KB Output is correct