#include <bits/stdc++.h>
#include "circus.h"
using namespace std;
using ll = long long;
using ld = long double;
using pl = pair<ll,ll>;
using pii = pair<int,int>;
using tpl = tuple<int,int,int>;
#define all(a) a.begin(), a.end()
#define filter(a) a.erase(unique(all(a)), a.end())
const int mn = 3e5 + 5;
int dp[mn], p[mn], n, m;
bool vis[mn];
int node (int layer, int i) { return layer * n + i; }
void dijkstra (int source) {
    priority_queue<pii> pq; pq.emplace(0, source);
    for (int i = 0; i < 3 * n; i++) dp[i] = INT_MAX;
    dp[source] = 0;
    function<void(int,int,int)> addTransition = [&] (int from, int to, int weight) {
        if (dp[from] + weight < dp[to]) {
            dp[to] = dp[from] + weight;
            pq.emplace(-dp[to], to);
        }
    };
    while (pq.size()) {
        int u = pq.top().second; pq.pop();
        if (vis[u]) continue;
        vis[u] = 1;
        int layer = u / n, idx = u % n;
        if (layer == 0) { /// real node
            // pass to suffix layer
            int sfx = lower_bound(p, p + n, dp[u] + p[idx]) - p;
            if (0 <= sfx && sfx < n)
                addTransition(u, node(1, sfx), p[sfx] - p[idx]);
            // pass to prefix layer
            int prf = upper_bound(p, p + n, p[idx] - dp[u]) - p - 1;
            if (0 <= prf && prf < n)
                addTransition(u, node(2, prf), p[idx] - p[prf]);
        }
        else if (layer == 1) { /// suffix node
            // pass to real layer
            addTransition(u, idx, 0);
            // pass to suffix layer
            if (idx + 1 < n)
                addTransition(u, node(1, idx + 1), p[idx + 1] - p[idx]);
        }
        else if (layer == 2) { /// prefix node
            // pass to real layer
            addTransition(u, idx, 0);
            // pass to prefix layer
            if (idx - 1 >= 0)
                addTransition(u, node(2, idx - 1), p[idx] - p[idx - 1]);
        }
    }
}
void init (int N, int M, int P[]) {
    /// input processing
    for (int i = 0; i < N; i++) p[i] = P[i];
    p[N] = M, n = N + 1, m = M;
    sort(p, p + n);
    /// run dijkstra
    dijkstra(node(0, N));
}
int minLength (int D) {
    int ans = INT_MAX;
    for (int i = 0; i < n; i++)
        if (dp[i] <= abs(p[i] - D)) ans = min(ans, abs(p[i] - D));
    return ans;
}
#ifdef LOCAL
int main()
{
    ios::sync_with_stdio(0);
    cin.tie(0);
    int N = 3, M = 8;
    int P[3] = {0, 3, 6};
    init(N, M, P);
    cout << minLength(4) << " " << minLength(5) << "\n";
    return 0;
}
#endif // LOCAL
Compilation message (stderr)
grader.cpp: In function 'int main()':
grader.cpp:16:14: warning: ignoring return value of 'int scanf(const char*, ...)' declared with attribute 'warn_unused_result' [-Wunused-result]
   16 |         scanf("%d%d", &N, &M);
      |         ~~~~~^~~~~~~~~~~~~~~~
grader.cpp:18:22: warning: ignoring return value of 'int scanf(const char*, ...)' declared with attribute 'warn_unused_result' [-Wunused-result]
   18 |                 scanf("%d", &P[i]);
      |                 ~~~~~^~~~~~~~~~~~~
grader.cpp:21:14: warning: ignoring return value of 'int scanf(const char*, ...)' declared with attribute 'warn_unused_result' [-Wunused-result]
   21 |         scanf("%d", &Q);
      |         ~~~~~^~~~~~~~~~
grader.cpp:23:22: warning: ignoring return value of 'int scanf(const char*, ...)' declared with attribute 'warn_unused_result' [-Wunused-result]
   23 |                 scanf("%d", &d);
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