oj.uz

Submission #948975

# Submission time Handle Problem Language Result Execution time Memory
948975 2024-03-18T17:52:23 Z vladilius Bitaro's travel (JOI23_travel) C++17
15 / 100
 207 ms 76952 KB 
#include <bits/stdc++.h>
using namespace std;
using ll = long long;
#define int ll
 
vector<vector<int>> sp1, sp2;
vector<int> lg;
 
int get1(int l, int r){
    int k = lg[r - l + 1];
    return max(sp1[l][k], sp1[r - (1 << k) + 1][k]);
}
 
int get2(int l, int r){
    int k = lg[r - l + 1];
    return min(sp2[l][k], sp2[r - (1 << k) + 1][k]);
}
 
signed main(){
    ios_base::sync_with_stdio(0);
    cin.tie(0);
    cout.tie(0);
    
    int n; cin>>n;
    vector<int> x(n + 2);
    for (int i = 1; i <= n; i++){
        cin>>x[i];
    }
    x[0] = x[1];
    x[n + 1] = x[n];
    int q; cin>>q;
    vector<int> :: iterator it;
    auto left = [&](int k) -> int{
        if (k == x[n]) return n;
        it = upper_bound(x.begin() + 1, x.end(), k);
        return (int) (prev(it) - x.begin());
    };
    auto right = [&](int k) -> int{
        it = lower_bound(x.begin() + 1, x.end(), k);
        return (int) (it - x.begin());
    };
    
    lg.resize(n + 1);
    for (int i = 2; i <= n; i++){
        lg[i] = lg[i / 2] + 1;
    }
    
    sp1.resize(n + 1);
    sp2.resize(n + 1);
    for (int i = 1; i <= n; i++){
        sp1[i].resize(lg[n] + 1);
        sp2[i].resize(lg[n] + 1);
    }
    for (int i = 1; i <= n; i++){
        sp1[i][0] = 2 * x[i] - x[i - 1];
        sp2[i][0] = 2 * x[i] - x[i + 1];
    }
    for (int j = 1; j <= lg[n]; j++){
        for (int i = 1; i + (1 << j) <= n + 1; i++){
            sp1[i][j] = max(sp1[i][j - 1], sp1[i + (1 << (j - 1))][j - 1]);
            sp2[i][j] = min(sp2[i][j - 1], sp2[i + (1 << (j - 1))][j - 1]);
        }
    }
    
    while (q--){
        int s; cin>>s;
        ll out = 0;
        int i = left(s), j = right(s);
        if (i < 2){
            cout<<x[n] - s<<"\n";
            continue;
        }
        if (j >= n){
            cout<<(s - x[1])<<"\n";
            continue;
        }
        if (s - x[i] <= x[j] - s){
            out += (s - x[i]);
            s = x[i];
            j = i;
        }
        else {
            out += (x[j] - s);
            s = x[j];
            i = j;
        }
        while (true){
            if (i == 1){
                out += (x[n] - s);
                break;
            }
            if (j == n){
                out += (s - x[1]);
                break;
            }
            int d1 = s - x[i - 1], d2 = x[j + 1] - s;
            if (d1 <= d2){
                if (get1(2, i) <= x[j + 1]){
                    out += (s - x[1]);
                    s = x[1];
                    i = 1;
                    continue;
                }
                
                // max(k < i): x[k + 1] - x[k] > x[j + 1] - x[k + 1]
                // <-> 2 * x[k + 1] - x[k] > x[j + 1]
                // <-> sp1[k + 1] > x[j + 1]
                // sp1[k + 1][0], ... sp1[i][0]
                
                int l = 1, r = i - 1;
                while (l + 1 < r){
                    int m = (l + r) / 2;
                    if (get1(m + 1, i) > x[j + 1]){
                        l = m;
                    }
                    else {
                        r = m;
                    }
                }
                while (r > 1 && get1(r + 1, i) <= x[j + 1]) r--;
                r++;
                out += (s - x[r]);
                s = x[r];
                i = r;
            }
            else {
                if (get2(j + 1, n - 1) > x[i - 1]){
                    out += (x[n] - s);
                    s = x[n];
                    j = n;
                    continue;
                }
                
                // min(k > j): x[k + 1] - x[k] >= x[k] - x[i - 1]
                // <-> 2 * x[k] - x[k + 1] <= x[i - 1]
                // <-> sp2[k][0] <= x[i - 1]
                // sp2[j + 1][0], ... sp2[k][0]
                
                int l = j + 1, r = n - 1;
                while (l + 1 < r){
                    int m = (l + r) / 2;
                    if (get2(j + 1, m) <= x[i - 1]){
                        r = m;
                    }
                    else {
                        l = m;
                    }
                }
                while (l <= n && get2(j + 1, l) > x[i - 1]) l++;
                out += (x[l] - s);
                s = x[l];
                j = l;
            }
        }
        cout<<out<<"\n";
    }
}

Subtask #1
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 348 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 856 KB Output is correct
6 Correct 1 ms 860 KB Output is correct
7 Correct 1 ms 860 KB Output is correct
8 Correct 0 ms 348 KB Output is correct
9 Correct 0 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 1064 KB Output is correct
15 Correct 1 ms 860 KB Output is correct
16 Correct 1 ms 860 KB Output is correct

Subtask #2
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 348 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 856 KB Output is correct
6 Correct 1 ms 860 KB Output is correct
7 Correct 1 ms 860 KB Output is correct
8 Correct 0 ms 348 KB Output is correct
9 Correct 0 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 1064 KB Output is correct
15 Correct 1 ms 860 KB Output is correct
16 Correct 1 ms 860 KB Output is correct
17 Correct 130 ms 75344 KB Output is correct
18 Correct 122 ms 75344 KB Output is correct
19 Correct 122 ms 75600 KB Output is correct
20 Correct 130 ms 75600 KB Output is correct
21 Correct 122 ms 75344 KB Output is correct
22 Correct 128 ms 75588 KB Output is correct
23 Correct 148 ms 75592 KB Output is correct
24 Correct 128 ms 75372 KB Output is correct
25 Correct 123 ms 75596 KB Output is correct
26 Correct 125 ms 75476 KB Output is correct
27 Correct 119 ms 75592 KB Output is correct
28 Correct 121 ms 75592 KB Output is correct
29 Correct 122 ms 75600 KB Output is correct
30 Correct 134 ms 75344 KB Output is correct
31 Correct 133 ms 75672 KB Output is correct

Subtask #3
0 / 30.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 344 KB Output is correct
2 Correct 1 ms 348 KB Output is correct
3 Correct 0 ms 348 KB Output is correct
4 Correct 1 ms 344 KB Output is correct
5 Correct 0 ms 348 KB Output is correct
6 Correct 0 ms 348 KB Output is correct
7 Incorrect 207 ms 76952 KB Output isn't correct
8 Halted 0 ms 0 KB -

Subtask #4
0 / 55.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 348 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 856 KB Output is correct
6 Correct 1 ms 860 KB Output is correct
7 Correct 1 ms 860 KB Output is correct
8 Correct 0 ms 348 KB Output is correct
9 Correct 0 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 1064 KB Output is correct
15 Correct 1 ms 860 KB Output is correct
16 Correct 1 ms 860 KB Output is correct
17 Correct 130 ms 75344 KB Output is correct
18 Correct 122 ms 75344 KB Output is correct
19 Correct 122 ms 75600 KB Output is correct
20 Correct 130 ms 75600 KB Output is correct
21 Correct 122 ms 75344 KB Output is correct
22 Correct 128 ms 75588 KB Output is correct
23 Correct 148 ms 75592 KB Output is correct
24 Correct 128 ms 75372 KB Output is correct
25 Correct 123 ms 75596 KB Output is correct
26 Correct 125 ms 75476 KB Output is correct
27 Correct 119 ms 75592 KB Output is correct
28 Correct 121 ms 75592 KB Output is correct
29 Correct 122 ms 75600 KB Output is correct
30 Correct 134 ms 75344 KB Output is correct
31 Correct 133 ms 75672 KB Output is correct
32 Correct 1 ms 344 KB Output is correct
33 Correct 1 ms 348 KB Output is correct
34 Correct 0 ms 348 KB Output is correct
35 Correct 1 ms 344 KB Output is correct
36 Correct 0 ms 348 KB Output is correct
37 Correct 0 ms 348 KB Output is correct
38 Incorrect 207 ms 76952 KB Output isn't correct
39 Halted 0 ms 0 KB -