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Submission #1103847

# Submission time Handle Problem Language Result Execution time Memory
1103847 2024-10-22T02:28:00 Z vjudge1 Bitaro's travel (JOI23_travel) C++17
100 / 100
 248 ms 129096 KB 
#include <bits/stdc++.h>

using namespace std;

const long long mod = 1e9 + 7;
const int MaxN = 1e6 + 5;
const int MaxLog = 21;

int n, q;
long long arr[MaxN];

void Inp()
{
    cin >> n;
    for (int x = 1; x <= n; x++)
    {
        cin >> arr[x];
    }
    sort(arr + 1, arr + n + 1);
}

long long Sparse[MaxLog][MaxN];

void Build()
{
    for (int x = 1; x <= n; x++)
    {
        Sparse[0][x] = 2 * arr[x] - arr[x + 1];
    }
    for (int x = 1; x < MaxLog; x++)
    {
        for (int y = 1; y <= n; y++)
        {
            Sparse[x][y] = min(Sparse[x - 1][y], Sparse[x - 1][y + (1 << (x - 1))]);
        }
    }
}

void Build2()
{
    for (int x = 1; x <= n; x++)
    {
        Sparse[0][x] = 2 * arr[x] - arr[x - 1];
    }
    for (int x = 1; x < MaxLog; x++)
    {
        for (int y = 1; y <= n; y++)
        {
            Sparse[x][y] = max(Sparse[x - 1][y], Sparse[x - 1][y + (1 << (x - 1))]);
        }
    }
}

long long Get(int l, int r)
{
    int p = __lg(r - l + 1);
    return min(Sparse[p][l], Sparse[p][r - (1 << p) + 1]);
}

long long Get2(int l, int r)
{
    int p = __lg(r - l + 1);
    return max(Sparse[p][l], Sparse[p][r - (1 << p) + 1]);
}

vector<int> graph[MaxN];
long long res[MaxN];

void DFS(int u, int p)
{
    for (int x : graph[u])
    {
        if (x != p)
        {
            res[x] = res[u] + abs(arr[u] - arr[x]);
            DFS(x, u);
        }
    }
}

void Exc()
{
    Build();
    for (int x = 2; x < n; x++)
    {
        if (arr[x + 1] - arr[x] < arr[x] - arr[x - 1])
        {
            int l = x + 1, r = n - 1, mid, res = n;
            while (l <= r)
            {
                mid = (l + r) / 2;
                if (Get(x + 1, mid) <= arr[x - 1])
                {
                    res = mid;
                    r = mid - 1;
                }
                else
                {
                    l = mid + 1;
                }
            }
            graph[x].push_back(res);
            graph[res].push_back(x);
        }
    }
    Build2();
    for (int x = 2; x < n; x++)
    {
        if (arr[x + 1] - arr[x] >= arr[x] - arr[x - 1])
        {
            int l = 2, r = x - 1, mid, res = 1;
            while (l <= r)
            {
                mid = (l + r) / 2;
                if (Get2(mid, x - 1) > arr[x + 1])
                {
                    res = mid;
                    l = mid + 1;
                }
                else
                {
                    r = mid - 1;
                }
            }
            graph[x].push_back(res);
            graph[res].push_back(x);
        }
    }
    DFS(1, -1);
    DFS(n, -1);
    map<long long, int> mp;
    for (int x = 1; x <= n; x++)
    {
        mp[arr[x]] = x;
        //cout << res[x] << " ";
    }
    //cout << "\n";
    cin >> q;
    for (int x = 1; x <= q; x++)
    {
        long long p;
        cin >> p;
        auto q = mp.lower_bound(p);
        if (q == mp.begin())
        {
            cout << res[q->second] + (arr[n] - arr[1]) + abs(q->first - p) << "\n";
        }
        else if (q == mp.end())
        {
            --q;
            cout << res[q->second] + (arr[n] - arr[1]) + abs(q->first - p) << "\n";
        }
        else
        {
            auto k = q;
            --k;
            if (abs(k->first - p) > abs(q->first - p))
            {
                cout << res[q->second] + (arr[n] - arr[1]) + abs(q->first - p) << "\n";
            }
            else
            {
                cout << res[k->second] + (arr[n] - arr[1]) + abs(k->first - p) << "\n";
            }
        }
    }
}

int main()
{
    //freopen("C.INP", "r", stdin);
    //freopen("C.OUT", "w", stdout);
    ios_base::sync_with_stdio(false);
    cin.tie(nullptr);
    int test = 1;
    //cin >> test;
    for (int x = 1; x <= test; x++)
    {
        Inp();
        Exc();
    }
    return 0;
}

Subtask #1
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 9 ms 70224 KB Output is correct
2 Correct 13 ms 70372 KB Output is correct
3 Correct 10 ms 70224 KB Output is correct
4 Correct 10 ms 70428 KB Output is correct
5 Correct 10 ms 70224 KB Output is correct
6 Correct 11 ms 70224 KB Output is correct
7 Correct 11 ms 70224 KB Output is correct
8 Correct 9 ms 70224 KB Output is correct
9 Correct 9 ms 70192 KB Output is correct
10 Correct 9 ms 70224 KB Output is correct
11 Correct 9 ms 70236 KB Output is correct
12 Correct 11 ms 70224 KB Output is correct
13 Correct 10 ms 70236 KB Output is correct
14 Correct 10 ms 70224 KB Output is correct
15 Correct 10 ms 70416 KB Output is correct
16 Correct 10 ms 70224 KB Output is correct

Subtask #2
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 9 ms 70224 KB Output is correct
2 Correct 13 ms 70372 KB Output is correct
3 Correct 10 ms 70224 KB Output is correct
4 Correct 10 ms 70428 KB Output is correct
5 Correct 10 ms 70224 KB Output is correct
6 Correct 11 ms 70224 KB Output is correct
7 Correct 11 ms 70224 KB Output is correct
8 Correct 9 ms 70224 KB Output is correct
9 Correct 9 ms 70192 KB Output is correct
10 Correct 9 ms 70224 KB Output is correct
11 Correct 9 ms 70236 KB Output is correct
12 Correct 11 ms 70224 KB Output is correct
13 Correct 10 ms 70236 KB Output is correct
14 Correct 10 ms 70224 KB Output is correct
15 Correct 10 ms 70416 KB Output is correct
16 Correct 10 ms 70224 KB Output is correct
17 Correct 116 ms 126792 KB Output is correct
18 Correct 117 ms 126848 KB Output is correct
19 Correct 114 ms 127304 KB Output is correct
20 Correct 122 ms 114760 KB Output is correct
21 Correct 127 ms 112356 KB Output is correct
22 Correct 125 ms 111632 KB Output is correct
23 Correct 132 ms 94536 KB Output is correct
24 Correct 128 ms 96200 KB Output is correct
25 Correct 129 ms 114824 KB Output is correct
26 Correct 128 ms 87492 KB Output is correct
27 Correct 118 ms 91076 KB Output is correct
28 Correct 112 ms 91076 KB Output is correct
29 Correct 106 ms 106880 KB Output is correct
30 Correct 117 ms 100684 KB Output is correct
31 Correct 101 ms 120392 KB Output is correct

Subtask #3
30.0 / 30.0

# Verdict Execution time Memory Grader output
1 Correct 9 ms 70392 KB Output is correct
2 Correct 8 ms 70248 KB Output is correct
3 Correct 9 ms 70224 KB Output is correct
4 Correct 9 ms 70224 KB Output is correct
5 Correct 8 ms 70104 KB Output is correct
6 Correct 9 ms 70392 KB Output is correct
7 Correct 201 ms 115404 KB Output is correct
8 Correct 205 ms 119464 KB Output is correct
9 Correct 194 ms 118972 KB Output is correct
10 Correct 177 ms 119488 KB Output is correct
11 Correct 173 ms 123836 KB Output is correct
12 Correct 219 ms 125116 KB Output is correct
13 Correct 39 ms 72200 KB Output is correct
14 Correct 31 ms 70736 KB Output is correct
15 Correct 191 ms 128368 KB Output is correct
16 Correct 220 ms 128544 KB Output is correct
17 Correct 191 ms 128460 KB Output is correct
18 Correct 37 ms 72016 KB Output is correct

Subtask #4
55.0 / 55.0

# Verdict Execution time Memory Grader output
1 Correct 9 ms 70224 KB Output is correct
2 Correct 13 ms 70372 KB Output is correct
3 Correct 10 ms 70224 KB Output is correct
4 Correct 10 ms 70428 KB Output is correct
5 Correct 10 ms 70224 KB Output is correct
6 Correct 11 ms 70224 KB Output is correct
7 Correct 11 ms 70224 KB Output is correct
8 Correct 9 ms 70224 KB Output is correct
9 Correct 9 ms 70192 KB Output is correct
10 Correct 9 ms 70224 KB Output is correct
11 Correct 9 ms 70236 KB Output is correct
12 Correct 11 ms 70224 KB Output is correct
13 Correct 10 ms 70236 KB Output is correct
14 Correct 10 ms 70224 KB Output is correct
15 Correct 10 ms 70416 KB Output is correct
16 Correct 10 ms 70224 KB Output is correct
17 Correct 116 ms 126792 KB Output is correct
18 Correct 117 ms 126848 KB Output is correct
19 Correct 114 ms 127304 KB Output is correct
20 Correct 122 ms 114760 KB Output is correct
21 Correct 127 ms 112356 KB Output is correct
22 Correct 125 ms 111632 KB Output is correct
23 Correct 132 ms 94536 KB Output is correct
24 Correct 128 ms 96200 KB Output is correct
25 Correct 129 ms 114824 KB Output is correct
26 Correct 128 ms 87492 KB Output is correct
27 Correct 118 ms 91076 KB Output is correct
28 Correct 112 ms 91076 KB Output is correct
29 Correct 106 ms 106880 KB Output is correct
30 Correct 117 ms 100684 KB Output is correct
31 Correct 101 ms 120392 KB Output is correct
32 Correct 9 ms 70392 KB Output is correct
33 Correct 8 ms 70248 KB Output is correct
34 Correct 9 ms 70224 KB Output is correct
35 Correct 9 ms 70224 KB Output is correct
36 Correct 8 ms 70104 KB Output is correct
37 Correct 9 ms 70392 KB Output is correct
38 Correct 201 ms 115404 KB Output is correct
39 Correct 205 ms 119464 KB Output is correct
40 Correct 194 ms 118972 KB Output is correct
41 Correct 177 ms 119488 KB Output is correct
42 Correct 173 ms 123836 KB Output is correct
43 Correct 219 ms 125116 KB Output is correct
44 Correct 39 ms 72200 KB Output is correct
45 Correct 31 ms 70736 KB Output is correct
46 Correct 191 ms 128368 KB Output is correct
47 Correct 220 ms 128544 KB Output is correct
48 Correct 191 ms 128460 KB Output is correct
49 Correct 37 ms 72016 KB Output is correct
50 Correct 216 ms 129096 KB Output is correct
51 Correct 217 ms 128840 KB Output is correct
52 Correct 238 ms 126792 KB Output is correct
53 Correct 236 ms 124356 KB Output is correct
54 Correct 248 ms 125572 KB Output is correct
55 Correct 239 ms 128732 KB Output is correct
56 Correct 161 ms 128840 KB Output is correct
57 Correct 170 ms 122952 KB Output is correct
58 Correct 173 ms 109896 KB Output is correct