Submission #1103785

# Submission time Handle Problem Language Result Execution time Memory
1103785 2024-10-21T17:22:39 Z vjudge1 Bitaro's travel (JOI23_travel) C++17
100 / 100
143 ms 118088 KB
#include <bits/stdc++.h>
#define ll long long
#define task ""
using namespace std;
const ll maxn = 1e6 + 2, LG = 21, mod = 1e9 + 7, inf = 1e18;
ll n, a[maxn], L[maxn], R[maxn], d[maxn], st[LG][maxn], low, high, mid, q, s;
vector<int> adj[maxn];
ll getL (int l, int r)
{
    int k = __lg(r - l + 1);
    return max(st[k][l], st[k][r - (1 << k) + 1]);
}
ll getR (int l, int r)
{
    int k = __lg(r - l + 1);
    return min(st[k][l], st[k][r - (1 << k) + 1]);
}
void dfs (int u, int p)
{
    for (int v : adj[u])
    {
        if (v == p) continue;
        d[v] = d[u] + abs(a[u] - a[v]);
        dfs(v, u);
    }
}
int main()
{
    //freopen(task".INP", "r", stdin);
    //freopen(task".OUT", "w", stdout);
    ios_base::sync_with_stdio(false);
    cin.tie(nullptr);
    cin >> n;
    for (int i = 1; i <= n; i++) cin >> a[i];
    for (int i = 1; i <= n; i++)
        st[0][i] = (i == 1) ? inf : 2*a[i] - a[i - 1];
    for (int j = 1; j < LG; j++)
        for (int i = 1; i <= n - (1 << (j - 1)); i++)
            st[j][i] = max(st[j - 1][i], st[j - 1][i + (1 << (j - 1))]);
    for (int i = 2; i < n; i++)
    {
        low = 1; high = i;
        while (low <= high)
        {
            mid = (low + high)/2;
            if (getL(mid, i) > a[i + 1]) low = mid + 1;
            else high = mid - 1;
        }
        L[i] = high;
    }
    for (int i = 1; i <= n; i++)
        st[0][i] = (i == n) ? -inf : 2*a[i] - a[i + 1];
    for (int j = 1; j < LG; j++)
        for (int i = 1; i <= n - (1 << (j - 1)); i++)
            st[j][i] = min(st[j - 1][i], st[j - 1][i + (1 << (j - 1))]);
    for (int i = 2; i < n; i++)
    {
        low = i; high = n;
        while (low <= high)
        {
            mid = (low + high)/2;
            if (getR(i, mid) <= a[i - 1]) high = mid - 1;
            else low = mid + 1;
        }
        R[i] = low;
    }
    for (int i = 2; i < n; i++)
    {
        adj[i].push_back(L[i] ^ R[i] ^ i);
        adj[L[i] ^ R[i] ^ i].push_back(i);
    }
    a[0] = -inf;
    a[n + 1] = inf;
    d[1] = d[n] = a[n] - a[1];
    dfs(1, 0);
    dfs(n, 0);
    cin >> q;
    while (q--)
    {
        cin >> s;
        int r = upper_bound(a + 1, a + n + 1, s) - a, l = r - 1;
        if (s - a[l] <= a[r] - s) cout << abs(s - a[l]) + d[l] << '\n';
        else cout << abs(s - a[r]) + d[r] << '\n';
    }
}
# Verdict Execution time Memory Grader output
1 Correct 8 ms 39504 KB Output is correct
2 Correct 10 ms 56144 KB Output is correct
3 Correct 9 ms 56144 KB Output is correct
4 Correct 9 ms 56144 KB Output is correct
5 Correct 9 ms 56060 KB Output is correct
6 Correct 9 ms 56320 KB Output is correct
7 Correct 9 ms 56144 KB Output is correct
8 Correct 5 ms 29264 KB Output is correct
9 Correct 6 ms 29320 KB Output is correct
10 Correct 7 ms 29292 KB Output is correct
11 Correct 5 ms 29264 KB Output is correct
12 Correct 6 ms 31312 KB Output is correct
13 Correct 9 ms 41720 KB Output is correct
14 Correct 9 ms 56152 KB Output is correct
15 Correct 10 ms 56152 KB Output is correct
16 Correct 10 ms 56312 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 8 ms 39504 KB Output is correct
2 Correct 10 ms 56144 KB Output is correct
3 Correct 9 ms 56144 KB Output is correct
4 Correct 9 ms 56144 KB Output is correct
5 Correct 9 ms 56060 KB Output is correct
6 Correct 9 ms 56320 KB Output is correct
7 Correct 9 ms 56144 KB Output is correct
8 Correct 5 ms 29264 KB Output is correct
9 Correct 6 ms 29320 KB Output is correct
10 Correct 7 ms 29292 KB Output is correct
11 Correct 5 ms 29264 KB Output is correct
12 Correct 6 ms 31312 KB Output is correct
13 Correct 9 ms 41720 KB Output is correct
14 Correct 9 ms 56152 KB Output is correct
15 Correct 10 ms 56152 KB Output is correct
16 Correct 10 ms 56312 KB Output is correct
17 Correct 76 ms 113488 KB Output is correct
18 Correct 75 ms 113484 KB Output is correct
19 Correct 77 ms 114492 KB Output is correct
20 Correct 82 ms 114460 KB Output is correct
21 Correct 86 ms 112308 KB Output is correct
22 Correct 77 ms 113736 KB Output is correct
23 Correct 83 ms 114248 KB Output is correct
24 Correct 73 ms 113728 KB Output is correct
25 Correct 74 ms 113700 KB Output is correct
26 Correct 87 ms 113216 KB Output is correct
27 Correct 76 ms 113152 KB Output is correct
28 Correct 76 ms 113728 KB Output is correct
29 Correct 78 ms 113992 KB Output is correct
30 Correct 77 ms 114088 KB Output is correct
31 Correct 77 ms 113736 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 7 ms 39504 KB Output is correct
2 Correct 7 ms 41552 KB Output is correct
3 Correct 6 ms 29264 KB Output is correct
4 Correct 6 ms 29264 KB Output is correct
5 Correct 7 ms 29264 KB Output is correct
6 Correct 5 ms 29264 KB Output is correct
7 Correct 104 ms 116208 KB Output is correct
8 Correct 106 ms 116248 KB Output is correct
9 Correct 106 ms 115900 KB Output is correct
10 Correct 98 ms 116156 KB Output is correct
11 Correct 99 ms 115900 KB Output is correct
12 Correct 98 ms 115900 KB Output is correct
13 Correct 31 ms 32980 KB Output is correct
14 Correct 26 ms 30524 KB Output is correct
15 Correct 101 ms 116792 KB Output is correct
16 Correct 113 ms 116792 KB Output is correct
17 Correct 102 ms 115656 KB Output is correct
18 Correct 32 ms 32840 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 8 ms 39504 KB Output is correct
2 Correct 10 ms 56144 KB Output is correct
3 Correct 9 ms 56144 KB Output is correct
4 Correct 9 ms 56144 KB Output is correct
5 Correct 9 ms 56060 KB Output is correct
6 Correct 9 ms 56320 KB Output is correct
7 Correct 9 ms 56144 KB Output is correct
8 Correct 5 ms 29264 KB Output is correct
9 Correct 6 ms 29320 KB Output is correct
10 Correct 7 ms 29292 KB Output is correct
11 Correct 5 ms 29264 KB Output is correct
12 Correct 6 ms 31312 KB Output is correct
13 Correct 9 ms 41720 KB Output is correct
14 Correct 9 ms 56152 KB Output is correct
15 Correct 10 ms 56152 KB Output is correct
16 Correct 10 ms 56312 KB Output is correct
17 Correct 76 ms 113488 KB Output is correct
18 Correct 75 ms 113484 KB Output is correct
19 Correct 77 ms 114492 KB Output is correct
20 Correct 82 ms 114460 KB Output is correct
21 Correct 86 ms 112308 KB Output is correct
22 Correct 77 ms 113736 KB Output is correct
23 Correct 83 ms 114248 KB Output is correct
24 Correct 73 ms 113728 KB Output is correct
25 Correct 74 ms 113700 KB Output is correct
26 Correct 87 ms 113216 KB Output is correct
27 Correct 76 ms 113152 KB Output is correct
28 Correct 76 ms 113728 KB Output is correct
29 Correct 78 ms 113992 KB Output is correct
30 Correct 77 ms 114088 KB Output is correct
31 Correct 77 ms 113736 KB Output is correct
32 Correct 7 ms 39504 KB Output is correct
33 Correct 7 ms 41552 KB Output is correct
34 Correct 6 ms 29264 KB Output is correct
35 Correct 6 ms 29264 KB Output is correct
36 Correct 7 ms 29264 KB Output is correct
37 Correct 5 ms 29264 KB Output is correct
38 Correct 104 ms 116208 KB Output is correct
39 Correct 106 ms 116248 KB Output is correct
40 Correct 106 ms 115900 KB Output is correct
41 Correct 98 ms 116156 KB Output is correct
42 Correct 99 ms 115900 KB Output is correct
43 Correct 98 ms 115900 KB Output is correct
44 Correct 31 ms 32980 KB Output is correct
45 Correct 26 ms 30524 KB Output is correct
46 Correct 101 ms 116792 KB Output is correct
47 Correct 113 ms 116792 KB Output is correct
48 Correct 102 ms 115656 KB Output is correct
49 Correct 32 ms 32840 KB Output is correct
50 Correct 114 ms 117624 KB Output is correct
51 Correct 119 ms 118088 KB Output is correct
52 Correct 137 ms 117864 KB Output is correct
53 Correct 137 ms 117316 KB Output is correct
54 Correct 143 ms 118080 KB Output is correct
55 Correct 138 ms 117824 KB Output is correct
56 Correct 112 ms 117320 KB Output is correct
57 Correct 114 ms 118048 KB Output is correct
58 Correct 112 ms 117320 KB Output is correct