#include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include using namespace std; using Int = long long; template ostream &operator<<(ostream &os, const pair &a) { return os << "(" << a.first << ", " << a.second << ")"; }; template ostream &operator<<(ostream &os, const vector &as) { const int sz = as.size(); os << "["; for (int i = 0; i < sz; ++i) { if (i >= 256) { os << ", ..."; break; } if (i > 0) { os << ", "; } os << as[i]; } return os << "]"; } template void pv(T a, T b) { for (T i = a; i != b; ++i) cerr << *i << " "; cerr << endl; } template bool chmin(T &t, const T &f) { if (t > f) { t = f; return true; } return false; } template bool chmax(T &t, const T &f) { if (t < f) { t = f; return true; } return false; } #define COLOR(s) ("\x1b[" s "m") // T: monoid representing information of an interval. // T() should return the identity. // T(S s) should represent a single element of the array. // T::push(T &l, T &r) should push the lazy update. // T::pull(const T &l, const T &r) should pull two intervals. template struct SegmentTreeRange { int logN, n; vector ts; SegmentTreeRange() : logN(0), n(0) {} explicit SegmentTreeRange(int n_) { for (logN = 0, n = 1; n < n_; ++logN, n <<= 1) {} ts.resize(n << 1); } template explicit SegmentTreeRange(const vector &ss) { const int n_ = ss.size(); for (logN = 0, n = 1; n < n_; ++logN, n <<= 1) {} ts.resize(n << 1); for (int i = 0; i < n_; ++i) at(i) = T(ss[i]); build(); } T &at(int i) { return ts[n + i]; } void build() { for (int u = n; --u; ) pull(u); } inline void push(int u) { ts[u].push(ts[u << 1], ts[u << 1 | 1]); } inline void pull(int u) { ts[u].pull(ts[u << 1], ts[u << 1 | 1]); } // Applies T::f(args...) to [a, b). template void ch(int a, int b, F f, Args &&... args) { assert(0 <= a); assert(a <= b); assert(b <= n); if (a == b) return; a += n; b += n; for (int h = logN; h; --h) { const int aa = a >> h, bb = b >> h; if (aa == bb) { if ((aa << h) != a || (bb << h) != b) push(aa); } else { if ((aa << h) != a) push(aa); if ((bb << h) != b) push(bb); } } for (int aa = a, bb = b; aa < bb; aa >>= 1, bb >>= 1) { if (aa & 1) (ts[aa++].*f)(args...); if (bb & 1) (ts[--bb].*f)(args...); } for (int h = 1; h <= logN; ++h) { const int aa = a >> h, bb = b >> h; if (aa == bb) { if ((aa << h) != a || (bb << h) != b) pull(aa); } else { if ((aa << h) != a) pull(aa); if ((bb << h) != b) pull(bb); } } } // Calculates the product for [a, b). T get(int a, int b) { assert(0 <= a); assert(a <= b); assert(b <= n); if (a == b) return T(); a += n; b += n; for (int h = logN; h; --h) { const int aa = a >> h, bb = b >> h; if (aa == bb) { if ((aa << h) != a || (bb << h) != b) push(aa); } else { if ((aa << h) != a) push(aa); if ((bb << h) != b) push(bb); } } T prodL, prodR, t; for (int aa = a, bb = b; aa < bb; aa >>= 1, bb >>= 1) { if (aa & 1) { t.pull(prodL, ts[aa++]); prodL = t; } if (bb & 1) { t.pull(ts[--bb], prodR); prodR = t; } } t.pull(prodL, prodR); return t; } // Calculates T::f(args...) of a monoid type for [a, b). // op(-, -) should calculate the product. // e() should return the identity. template #if __cplusplus >= 201402L auto #else decltype((std::declval().*F())()) #endif get(int a, int b, Op op, E e, F f, Args &&... args) { assert(0 <= a); assert(a <= b); assert(b <= n); if (a == b) return e(); a += n; b += n; for (int h = logN; h; --h) { const int aa = a >> h, bb = b >> h; if (aa == bb) { if ((aa << h) != a || (bb << h) != b) push(aa); } else { if ((aa << h) != a) push(aa); if ((bb << h) != b) push(bb); } } auto prodL = e(), prodR = e(); for (int aa = a, bb = b; aa < bb; aa >>= 1, bb >>= 1) { if (aa & 1) prodL = op(prodL, (ts[aa++].*f)(args...)); if (bb & 1) prodR = op((ts[--bb].*f)(args...), prodR); } return op(prodL, prodR); } // Find min b s.t. T::f(args...) returns true, // when called for the partition of [a, b) from left to right. // Returns n + 1 if there is no such b. template int findRight(int a, F f, Args &&... args) { assert(0 <= a); assert(a <= n); if ((T().*f)(args...)) return a; if (a == n) return n + 1; a += n; for (int h = logN; h; --h) push(a >> h); for (; ; a >>= 1) if (a & 1) { if ((ts[a].*f)(args...)) { for (; a < n; ) { push(a); if (!(ts[a <<= 1].*f)(args...)) ++a; } return a - n + 1; } ++a; if (!(a & (a - 1))) return n + 1; } } // Find max a s.t. T::f(args...) returns true, // when called for the partition of [a, b) from right to left. // Returns -1 if there is no such a. template int findLeft(int b, F f, Args &&... args) { assert(0 <= b); assert(b <= n); if ((T().*f)(args...)) return b; if (b == 0) return -1; b += n; for (int h = logN; h; --h) push((b - 1) >> h); for (; ; b >>= 1) if ((b & 1) || b == 2) { if ((ts[b - 1].*f)(args...)) { for (; b <= n; ) { push(b - 1); if (!(ts[(b <<= 1) - 1].*f)(args...)) --b; } return b - n - 1; } --b; if (!(b & (b - 1))) return -1; } } }; //////////////////////////////////////////////////////////////////////////////// constexpr int INF = 1001001001; struct Node { int mn, lz; Node() : mn(INF), lz(INF) {} void push(Node &l, Node &r) { if (lz < INF) { l.chmin(lz); r.chmin(lz); lz = INF; } } void pull(const Node &l, const Node &r) { mn = min(l.mn, r.mn); } void chmin(int val) { ::chmin(mn, val); ::chmin(lz, val); } // leaf void change(int val) { mn = val; } }; int N, M; vector A; int main() { for (; ~scanf("%d%d", &N, &M); ) { A.resize(M); for (int i = 0; i < M; ++i) { scanf("%d", &A[i]); } SegmentTreeRange segL(N), segR(N); auto update = [&](int i, int val) -> void { segL.ch(0, i, &Node::chmin, val + i); segR.ch(i, N, &Node::chmin, val - i); }; auto change = [&](int i, int val) -> void { segL.ch(i, i + 1, &Node::change, val + i); segR.ch(i, i + 1, &Node::change, val - i); }; auto get = [&](int i) -> int { int ret = INF; chmin(ret, segL.get(i, i + 1).mn - i); chmin(ret, segR.get(i, i + 1).mn + i); return ret; }; update(0, 0); for (int i = M; --i >= 0; ) { // swap(dp[A[i] - 1], dp[A[i]]); int f = get(A[i] - 1); int g = get(A[i]); update(A[i] - 1, g); update(A[i] , f); if (A[i] - 2 >= 0) { const int h = get(A[i] - 2); chmin(g, h + 1); chmin(f, h + 2); } if (A[i] + 1 < N) { const int h = get(A[i] + 1); chmin(g, h + 2); chmin(f, h + 1); } change(A[i] - 1, g); change(A[i] , f); // cerr<<"A[i] = "< 1) printf(" "); printf("%d", get(x)); } puts(""); } return 0; }