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Submission #934472

# Submission time Handle Problem Language Result Execution time Memory
934472 2024-02-27T11:40:46 Z Pacybwoah Bitaro's travel (JOI23_travel) C++17
100 / 100
 231 ms 42588 KB 
#include<iostream>
#include<vector>
#include<algorithm>
using namespace std;
typedef long long ll;
// lst: max
// rst: min
int main(){
    ios::sync_with_stdio(false);
    cin.tie(0);
    int n;
    cin>>n;
    vector<int> vec(n+1,-1e9);
    for(int i=1;i<=n;i++) cin>>vec[i];
    vector<vector<int> > m(2,vector<int>(n+1)),lst(20,vector<int>(n+1)),rst(20,vector<int>(n+1)); // [0]=left [1]=right
    for(int i=1;i<n;i++) m[0][i]=2*vec[i+1]-vec[i],lst[0][i]=m[0][i];
    for(int i=2;i<=n;i++) m[1][i]=2*vec[i-1]-vec[i],rst[0][i]=m[1][i];
    for(int j=1;j<20;j++){
        for(int i=1;i+(1<<(j-1))<n;i++) lst[j][i]=max(lst[j-1][i],lst[j-1][i+(1<<(j-1))]);
        for(int i=2;i+(1<<(j-1))<=n;i++) rst[j][i]=min(rst[j-1][i],rst[j-1][i+(1<<(j-1))]);
    }
    vector<int> bases(n+1);
    for(int j=0;j<20;j++){
        for(int i=(1<<j);i<=min(1<<(j+1),n);i++) bases[i]=j;
    }
    auto query=[&](int l,int r,bool flag){
        int len=bases[r-l+1];
        if(flag) return min(rst[len][l],rst[len][r-(1<<len)+1]);
        else return max(lst[len][l],lst[len][r-(1<<len)+1]);
    };
    vector<ll> ans(n+1);
    //cout<<query(3,4,1)<<" "<<query(3,5,1)<<"\n";
    for(int i=1;i<=n;i++){
        if(i==1||i==n){
            ans[i]=vec[n]-vec[1];
            continue;
        }
        bool dire;
        int curl=i-1,curr=i+1;
        if(vec[i]-vec[curl]<=vec[curr]-vec[i]) dire=0,ans[i]+=vec[i]-vec[curl];
        else dire=1,ans[i]+=vec[curr]-vec[i];
        //cout<<dire;
        while(1){
            //cout<<i<<" "<<curl<<" "<<curr<<"\n";
            if(!dire){
                int l=0,r=curl;
                while(l<r){
                    int mid=((l+r)>>1)+1;
                    if(query(mid,curl,0)>vec[curr]){
                        l=mid;
                    }
                    else r=mid-1;
                }
                if(l==0){
                    ans[i]+=1ll*(vec[curl]-vec[1]+vec[n]-vec[1]);
                    break;
                }
                else{
                    ans[i]+=1ll*(vec[curl]-vec[l+1]+vec[curr]-vec[l+1]);
                    curl=l;
                    dire=1;
                }
            }
            else{
                int l=curr,r=n+1;
                while(l<r){
                    int mid=((l+r)>>1);
                    if(query(curr,mid,1)<=vec[curl]){
                        r=mid;
                    }
                    else l=mid+1;
                }
                //cout<<l;
                if(l==n+1){
                    ans[i]+=1ll*(vec[n]-vec[curr]+vec[n]-vec[1]);
                    break;
                }
                else{
                    ans[i]+=1ll*(vec[r-1]-vec[curr]+vec[r-1]-vec[curl]);
                    curr=r;
                    dire=0;
                }
            }
        }
    }
    int q;
    cin>>q;
    ll num;
    for(int i=0;i<q;i++){
        cin>>num;
        if(num<vec[1]) cout<<vec[n]-num<<"\n";
        else if(num>vec[n]) cout<<num-vec[1]<<"\n";
        else{
            int pos=lower_bound(vec.begin(),vec.end(),num)-vec.begin();
            if(vec[pos]==num) cout<<ans[pos]<<"\n";
            else{
                if(num-vec[pos-1]<=vec[pos]-num) cout<<ans[pos-1]+num-vec[pos-1]<<"\n";
                else cout<<vec[pos]-num+ans[pos]<<"\n";
            }
        }
    }
}

Subtask #1
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 348 KB Output is correct
2 Correct 1 ms 792 KB Output is correct
3 Correct 1 ms 716 KB Output is correct
4 Correct 1 ms 604 KB Output is correct
5 Correct 1 ms 604 KB Output is correct
6 Correct 1 ms 604 KB Output is correct
7 Correct 1 ms 604 KB Output is correct
8 Correct 1 ms 504 KB Output is correct
9 Correct 1 ms 348 KB Output is correct
10 Correct 0 ms 348 KB Output is correct
11 Correct 0 ms 348 KB Output is correct
12 Correct 0 ms 348 KB Output is correct
13 Correct 0 ms 348 KB Output is correct
14 Correct 1 ms 604 KB Output is correct
15 Correct 1 ms 604 KB Output is correct
16 Correct 1 ms 740 KB Output is correct

Subtask #2
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 348 KB Output is correct
2 Correct 1 ms 792 KB Output is correct
3 Correct 1 ms 716 KB Output is correct
4 Correct 1 ms 604 KB Output is correct
5 Correct 1 ms 604 KB Output is correct
6 Correct 1 ms 604 KB Output is correct
7 Correct 1 ms 604 KB Output is correct
8 Correct 1 ms 504 KB Output is correct
9 Correct 1 ms 348 KB Output is correct
10 Correct 0 ms 348 KB Output is correct
11 Correct 0 ms 348 KB Output is correct
12 Correct 0 ms 348 KB Output is correct
13 Correct 0 ms 348 KB Output is correct
14 Correct 1 ms 604 KB Output is correct
15 Correct 1 ms 604 KB Output is correct
16 Correct 1 ms 740 KB Output is correct
17 Correct 110 ms 38408 KB Output is correct
18 Correct 110 ms 38204 KB Output is correct
19 Correct 118 ms 38400 KB Output is correct
20 Correct 115 ms 38212 KB Output is correct
21 Correct 112 ms 38192 KB Output is correct
22 Correct 113 ms 38404 KB Output is correct
23 Correct 116 ms 38208 KB Output is correct
24 Correct 76 ms 38212 KB Output is correct
25 Correct 74 ms 38208 KB Output is correct
26 Correct 73 ms 38212 KB Output is correct
27 Correct 77 ms 38412 KB Output is correct
28 Correct 77 ms 38400 KB Output is correct
29 Correct 183 ms 38212 KB Output is correct
30 Correct 214 ms 38212 KB Output is correct
31 Correct 187 ms 38324 KB Output is correct

Subtask #3
30.0 / 30.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 348 KB Output is correct
2 Correct 0 ms 344 KB Output is correct
3 Correct 1 ms 348 KB Output is correct
4 Correct 0 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 108 ms 40416 KB Output is correct
8 Correct 120 ms 40352 KB Output is correct
9 Correct 103 ms 40256 KB Output is correct
10 Correct 110 ms 40188 KB Output is correct
11 Correct 106 ms 40164 KB Output is correct
12 Correct 103 ms 40256 KB Output is correct
13 Correct 30 ms 4188 KB Output is correct
14 Correct 21 ms 1512 KB Output is correct
15 Correct 110 ms 41320 KB Output is correct
16 Correct 109 ms 41284 KB Output is correct
17 Correct 117 ms 41540 KB Output is correct
18 Correct 38 ms 4100 KB Output is correct

Subtask #4
55.0 / 55.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 348 KB Output is correct
2 Correct 1 ms 792 KB Output is correct
3 Correct 1 ms 716 KB Output is correct
4 Correct 1 ms 604 KB Output is correct
5 Correct 1 ms 604 KB Output is correct
6 Correct 1 ms 604 KB Output is correct
7 Correct 1 ms 604 KB Output is correct
8 Correct 1 ms 504 KB Output is correct
9 Correct 1 ms 348 KB Output is correct
10 Correct 0 ms 348 KB Output is correct
11 Correct 0 ms 348 KB Output is correct
12 Correct 0 ms 348 KB Output is correct
13 Correct 0 ms 348 KB Output is correct
14 Correct 1 ms 604 KB Output is correct
15 Correct 1 ms 604 KB Output is correct
16 Correct 1 ms 740 KB Output is correct
17 Correct 110 ms 38408 KB Output is correct
18 Correct 110 ms 38204 KB Output is correct
19 Correct 118 ms 38400 KB Output is correct
20 Correct 115 ms 38212 KB Output is correct
21 Correct 112 ms 38192 KB Output is correct
22 Correct 113 ms 38404 KB Output is correct
23 Correct 116 ms 38208 KB Output is correct
24 Correct 76 ms 38212 KB Output is correct
25 Correct 74 ms 38208 KB Output is correct
26 Correct 73 ms 38212 KB Output is correct
27 Correct 77 ms 38412 KB Output is correct
28 Correct 77 ms 38400 KB Output is correct
29 Correct 183 ms 38212 KB Output is correct
30 Correct 214 ms 38212 KB Output is correct
31 Correct 187 ms 38324 KB Output is correct
32 Correct 0 ms 348 KB Output is correct
33 Correct 0 ms 344 KB Output is correct
34 Correct 1 ms 348 KB Output is correct
35 Correct 0 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 108 ms 40416 KB Output is correct
39 Correct 120 ms 40352 KB Output is correct
40 Correct 103 ms 40256 KB Output is correct
41 Correct 110 ms 40188 KB Output is correct
42 Correct 106 ms 40164 KB Output is correct
43 Correct 103 ms 40256 KB Output is correct
44 Correct 30 ms 4188 KB Output is correct
45 Correct 21 ms 1512 KB Output is correct
46 Correct 110 ms 41320 KB Output is correct
47 Correct 109 ms 41284 KB Output is correct
48 Correct 117 ms 41540 KB Output is correct
49 Correct 38 ms 4100 KB Output is correct
50 Correct 163 ms 42308 KB Output is correct
51 Correct 167 ms 42308 KB Output is correct
52 Correct 168 ms 42308 KB Output is correct
53 Correct 141 ms 42468 KB Output is correct
54 Correct 141 ms 42424 KB Output is correct
55 Correct 133 ms 42464 KB Output is correct
56 Correct 231 ms 42352 KB Output is correct
57 Correct 222 ms 42588 KB Output is correct
58 Correct 220 ms 42224 KB Output is correct