oj.uz

Submission #950319

# Submission time Handle Problem Language Result Execution time Memory
950319 2024-03-20T08:07:28 Z andrei_boaca Bitaro's travel (JOI23_travel) C++17
100 / 100
 304 ms 78420 KB 
#include <bits/stdc++.h>

using namespace std;
typedef long long ll;
const ll INF=1e17;
ll n,v[200005];
ll lft[200005],rgt[200005],rmqlft[21][200005],rmqrgt[21][200005],loga[200005];
bool finish(int l,int r)
{
    if(l==0&&r>=n)
        return 1;
    if(l<=1&&r==n+1)
        return 1;
    return 0;
}
ll getlft(ll l,ll r)
{
    int lg=loga[r-l+1];
    return max(rmqlft[lg][l],rmqlft[lg][r-(1<<lg)+1]);
}
ll getrgt(ll l,ll r)
{
    int lg=loga[r-l+1];
    return max(rmqrgt[lg][l],rmqrgt[lg][r-(1<<lg)+1]);
}
int main()
{
    ios_base::sync_with_stdio(false);
    cin.tie(0);
    cin>>n;
    for(int i=1;i<=n;i++)
        cin>>v[i];
    for(int i=1;i<=n;i++)
    {
        if(i==1)
        {
            lft[i]=INF;
            continue;
        }
        lft[i]=(v[i]-v[i-1])-(v[n]-v[i]);
    }
    for(int i=n;i>=1;i--)
    {
        if(i==n)
        {
            rgt[i]=INF;
            continue;
        }
        rgt[i]=(v[i+1]-v[i])-(v[i]-v[1]);
    }
    for(int i=1;i<=n;i++)
    {
        rmqlft[0][i]=lft[i];
        rmqrgt[0][i]=rgt[i];
        for(int bit=0;bit<=20;bit++)
            if((1<<bit)<=i)
                loga[i]=bit;
    }
    for(int j=1;j<=18;j++)
        for(int i=1;i<=n;i++)
        {
            rmqlft[j][i]=rmqlft[j-1][i];
            rmqrgt[j][i]=rmqrgt[j-1][i];
            int poz=i+(1<<(j-1));
            if(poz<=n)
            {
                rmqlft[j][i]=max(rmqlft[j][i],rmqlft[j-1][poz]);
                rmqrgt[j][i]=max(rmqrgt[j][i],rmqrgt[j-1][poz]);
            }
        }
    ll q;
    cin>>q;
    while(q--)
    {
        ll x;
        cin>>x;
        ll ans=0;
        ll poz=0;
        ll st=1;
        ll dr=n;
        while(st<=dr)
        {
            ll mij=(st+dr)/2;
            if(v[mij]<=x)
            {
                poz=mij;
                st=mij+1;
            }
            else
                dr=mij-1;
        }
        if(poz==0)
        {
            ans=abs(v[1]-x);
            poz=1;
        }
        else if(poz==n)
            ans=abs(v[n]-x);
        else
        {
            ll dL=abs(v[poz]-x);
            ll dR=abs(v[poz+1]-x);
            if(dL<=dR)
                ans+=dL;
            else
            {
                ans=ans+dR;
                poz++;
            }
        }
        if(n==1)
        {
            cout<<ans<<'\n';
            continue;
        }
        int l=0,r=0;
        int dir=0; /// 0 -> left, 1 -> right
        if(poz==1)
        {
            ans+=abs(v[poz+1]-v[poz]);
            r=poz+1;
            l=poz-1;
            dir=1;
        }
        else if(poz==n)
        {
            ans+=abs(v[poz]-v[poz-1]);
            l=poz-1;
            r=poz+1;
            dir=0;
        }
        else
        {
            int dL=abs(v[poz]-v[poz-1]);
            int dR=abs(v[poz]-v[poz+1]);
            l=poz-1;
            r=poz+1;
            if(dL<=dR)
            {
                dir=0;
                ans+=dL;
            }
            else
            {
                dir=1;
                ans+=dR;
            }
        }
        while(!finish(l,r))
        {
            if(l==0)
            {
                ans+=v[n]-v[r];
                break;
            }
            if(r==n+1)
            {
                ans+=v[l]-v[1];
                break;
            }
            if(l==1&&r==n)
            {
                ans+=v[n]-v[1];
                break;
            }
            if(dir==0)
            {
                int last=l;
                int st=2;
                int dr=last;
                while(st<=dr)
                {
                    int mij=(st+dr)/2;
                    ll val=getlft(mij,l);
                    val+=(v[n]-v[r]);
                    if(val<=0)
                    {
                        last=mij-1;
                        dr=mij-1;
                    }
                    else
                        st=mij+1;
                }
                ans+=v[l]-v[last];
                l=last;
                ans+=v[r]-v[l];
                l--;
                dir^=1;
            }
            else
            {
                int last=r;
                int st=r;
                int dr=n-1;
                while(st<=dr)
                {
                    int mij=(st+dr)/2;
                    ll val=getrgt(r,mij);
                    val+=(v[l]-v[1]);
                    if(val<0)
                    {
                        last=mij+1;
                        st=mij+1;
                    }
                    else
                        dr=mij-1;
                }
                ans+=v[last]-v[r];
                r=last;
                ans+=v[r]-v[l];
                r++;
                dir^=1;
            }
        }
        cout<<ans<<'\n';
    }
    return 0;
}

Subtask #1
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 19 ms 67924 KB Output is correct
2 Correct 10 ms 68404 KB Output is correct
3 Correct 8 ms 68188 KB Output is correct
4 Correct 8 ms 68184 KB Output is correct
5 Correct 8 ms 68188 KB Output is correct
6 Correct 9 ms 68124 KB Output is correct
7 Correct 8 ms 68188 KB Output is correct
8 Correct 9 ms 68180 KB Output is correct
9 Correct 7 ms 67932 KB Output is correct
10 Correct 7 ms 68168 KB Output is correct
11 Correct 9 ms 68188 KB Output is correct
12 Correct 7 ms 67932 KB Output is correct
13 Correct 9 ms 68108 KB Output is correct
14 Correct 8 ms 68188 KB Output is correct
15 Correct 8 ms 68188 KB Output is correct
16 Correct 8 ms 68188 KB Output is correct

Subtask #2
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 19 ms 67924 KB Output is correct
2 Correct 10 ms 68404 KB Output is correct
3 Correct 8 ms 68188 KB Output is correct
4 Correct 8 ms 68184 KB Output is correct
5 Correct 8 ms 68188 KB Output is correct
6 Correct 9 ms 68124 KB Output is correct
7 Correct 8 ms 68188 KB Output is correct
8 Correct 9 ms 68180 KB Output is correct
9 Correct 7 ms 67932 KB Output is correct
10 Correct 7 ms 68168 KB Output is correct
11 Correct 9 ms 68188 KB Output is correct
12 Correct 7 ms 67932 KB Output is correct
13 Correct 9 ms 68108 KB Output is correct
14 Correct 8 ms 68188 KB Output is correct
15 Correct 8 ms 68188 KB Output is correct
16 Correct 8 ms 68188 KB Output is correct
17 Correct 32 ms 74304 KB Output is correct
18 Correct 35 ms 74132 KB Output is correct
19 Correct 32 ms 74360 KB Output is correct
20 Correct 32 ms 74336 KB Output is correct
21 Correct 33 ms 74320 KB Output is correct
22 Correct 33 ms 74300 KB Output is correct
23 Correct 32 ms 74324 KB Output is correct
24 Correct 33 ms 74324 KB Output is correct
25 Correct 35 ms 74588 KB Output is correct
26 Correct 33 ms 74352 KB Output is correct
27 Correct 33 ms 74320 KB Output is correct
28 Correct 33 ms 74552 KB Output is correct
29 Correct 33 ms 74300 KB Output is correct
30 Correct 32 ms 74320 KB Output is correct
31 Correct 33 ms 74272 KB Output is correct

Subtask #3
30.0 / 30.0

# Verdict Execution time Memory Grader output
1 Correct 8 ms 67928 KB Output is correct
2 Correct 8 ms 67932 KB Output is correct
3 Correct 8 ms 68164 KB Output is correct
4 Correct 8 ms 67928 KB Output is correct
5 Correct 8 ms 67932 KB Output is correct
6 Correct 8 ms 68188 KB Output is correct
7 Correct 99 ms 76376 KB Output is correct
8 Correct 105 ms 76396 KB Output is correct
9 Correct 100 ms 76368 KB Output is correct
10 Correct 100 ms 76372 KB Output is correct
11 Correct 102 ms 76368 KB Output is correct
12 Correct 103 ms 76364 KB Output is correct
13 Correct 40 ms 72016 KB Output is correct
14 Correct 43 ms 69196 KB Output is correct
15 Correct 112 ms 77764 KB Output is correct
16 Correct 110 ms 77248 KB Output is correct
17 Correct 111 ms 77648 KB Output is correct
18 Correct 41 ms 71760 KB Output is correct

Subtask #4
55.0 / 55.0

# Verdict Execution time Memory Grader output
1 Correct 19 ms 67924 KB Output is correct
2 Correct 10 ms 68404 KB Output is correct
3 Correct 8 ms 68188 KB Output is correct
4 Correct 8 ms 68184 KB Output is correct
5 Correct 8 ms 68188 KB Output is correct
6 Correct 9 ms 68124 KB Output is correct
7 Correct 8 ms 68188 KB Output is correct
8 Correct 9 ms 68180 KB Output is correct
9 Correct 7 ms 67932 KB Output is correct
10 Correct 7 ms 68168 KB Output is correct
11 Correct 9 ms 68188 KB Output is correct
12 Correct 7 ms 67932 KB Output is correct
13 Correct 9 ms 68108 KB Output is correct
14 Correct 8 ms 68188 KB Output is correct
15 Correct 8 ms 68188 KB Output is correct
16 Correct 8 ms 68188 KB Output is correct
17 Correct 32 ms 74304 KB Output is correct
18 Correct 35 ms 74132 KB Output is correct
19 Correct 32 ms 74360 KB Output is correct
20 Correct 32 ms 74336 KB Output is correct
21 Correct 33 ms 74320 KB Output is correct
22 Correct 33 ms 74300 KB Output is correct
23 Correct 32 ms 74324 KB Output is correct
24 Correct 33 ms 74324 KB Output is correct
25 Correct 35 ms 74588 KB Output is correct
26 Correct 33 ms 74352 KB Output is correct
27 Correct 33 ms 74320 KB Output is correct
28 Correct 33 ms 74552 KB Output is correct
29 Correct 33 ms 74300 KB Output is correct
30 Correct 32 ms 74320 KB Output is correct
31 Correct 33 ms 74272 KB Output is correct
32 Correct 8 ms 67928 KB Output is correct
33 Correct 8 ms 67932 KB Output is correct
34 Correct 8 ms 68164 KB Output is correct
35 Correct 8 ms 67928 KB Output is correct
36 Correct 8 ms 67932 KB Output is correct
37 Correct 8 ms 68188 KB Output is correct
38 Correct 99 ms 76376 KB Output is correct
39 Correct 105 ms 76396 KB Output is correct
40 Correct 100 ms 76368 KB Output is correct
41 Correct 100 ms 76372 KB Output is correct
42 Correct 102 ms 76368 KB Output is correct
43 Correct 103 ms 76364 KB Output is correct
44 Correct 40 ms 72016 KB Output is correct
45 Correct 43 ms 69196 KB Output is correct
46 Correct 112 ms 77764 KB Output is correct
47 Correct 110 ms 77248 KB Output is correct
48 Correct 111 ms 77648 KB Output is correct
49 Correct 41 ms 71760 KB Output is correct
50 Correct 304 ms 78416 KB Output is correct
51 Correct 263 ms 78420 KB Output is correct
52 Correct 235 ms 78364 KB Output is correct
53 Correct 171 ms 78316 KB Output is correct
54 Correct 180 ms 78320 KB Output is correct
55 Correct 169 ms 78344 KB Output is correct
56 Correct 87 ms 78164 KB Output is correct
57 Correct 87 ms 78164 KB Output is correct
58 Correct 86 ms 78264 KB Output is correct