oj.uz

Submission #948172

# Submission time Handle Problem Language Result Execution time Memory
948172 2024-03-17T18:09:02 Z vladilius Bitaro's travel (JOI23_travel) C++17
15 / 100
 3000 ms 76760 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 (i > 1 || j < n){
            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 - 1;
                    }
                }
                if (get1(r + 1, i) > x[j + 1]) l = r;
                l++;
                out += (s - x[l]);
                s = x[l];
                if (l >= i) return 1;
                i = l;
            }
            else {
                if (get2(j + 1, n - 1) > x[j + 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[j + 1]){
                        r = m;
                    }
                    else {
                        l = m + 1;
                    }
                }
                if (get2(j + 1, l) <= x[j + 1]) r = l;
                out += (x[r] - s);
                s = x[r];
                if (r <= j) return 1;
                j = r;
            }
        }
        cout<<out<<"\n";
    }
}

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 860 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 1 ms 348 KB Output is correct
14 Correct 1 ms 860 KB Output is correct
15 Correct 1 ms 856 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 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 860 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 1 ms 348 KB Output is correct
14 Correct 1 ms 860 KB Output is correct
15 Correct 1 ms 856 KB Output is correct
16 Correct 1 ms 860 KB Output is correct
17 Correct 121 ms 75452 KB Output is correct
18 Correct 146 ms 75348 KB Output is correct
19 Correct 123 ms 75344 KB Output is correct
20 Correct 121 ms 75344 KB Output is correct
21 Correct 129 ms 75588 KB Output is correct
22 Correct 162 ms 75504 KB Output is correct
23 Correct 125 ms 75484 KB Output is correct
24 Correct 127 ms 75344 KB Output is correct
25 Correct 140 ms 75348 KB Output is correct
26 Correct 144 ms 75600 KB Output is correct
27 Correct 131 ms 75596 KB Output is correct
28 Correct 132 ms 75352 KB Output is correct
29 Correct 138 ms 75348 KB Output is correct
30 Correct 135 ms 75596 KB Output is correct
31 Correct 137 ms 75348 KB Output is correct

Subtask #3
0 / 30.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 348 KB Output is correct
2 Correct 0 ms 348 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 Execution timed out 3088 ms 76760 KB Time limit exceeded
8 Halted 0 ms 0 KB -

Subtask #4
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 860 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 1 ms 348 KB Output is correct
14 Correct 1 ms 860 KB Output is correct
15 Correct 1 ms 856 KB Output is correct
16 Correct 1 ms 860 KB Output is correct
17 Correct 121 ms 75452 KB Output is correct
18 Correct 146 ms 75348 KB Output is correct
19 Correct 123 ms 75344 KB Output is correct
20 Correct 121 ms 75344 KB Output is correct
21 Correct 129 ms 75588 KB Output is correct
22 Correct 162 ms 75504 KB Output is correct
23 Correct 125 ms 75484 KB Output is correct
24 Correct 127 ms 75344 KB Output is correct
25 Correct 140 ms 75348 KB Output is correct
26 Correct 144 ms 75600 KB Output is correct
27 Correct 131 ms 75596 KB Output is correct
28 Correct 132 ms 75352 KB Output is correct
29 Correct 138 ms 75348 KB Output is correct
30 Correct 135 ms 75596 KB Output is correct
31 Correct 137 ms 75348 KB Output is correct
32 Correct 0 ms 348 KB Output is correct
33 Correct 0 ms 348 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 Execution timed out 3088 ms 76760 KB Time limit exceeded
39 Halted 0 ms 0 KB -