import std.conv, std.functional, std.range, std.stdio, std.string; import std.algorithm, std.array, std.bigint, std.bitmanip, std.complex, std.container, std.math, std.mathspecial, std.numeric, std.regex, std.typecons; import core.bitop; class EOFException : Throwable { this() { super("EOF"); } } string[] tokens; string readToken() { for (; tokens.empty; ) { if (stdin.eof) { throw new EOFException; } tokens = readln.split; } auto token = tokens.front; tokens.popFront; return token; } int readInt() { return readToken.to!int; } long readLong() { return readToken.to!long; } real readReal() { return readToken.to!real; } bool chmin(T)(ref T t, in T f) { if (t > f) { t = f; return true; } else { return false; } } bool chmax(T)(ref T t, in T f) { if (t < f) { t = f; return true; } else { return false; } } int binarySearch(alias pred, T)(in T[] as) { int lo = -1, hi = cast(int)(as.length); for (; lo + 1 < hi; ) { const mid = (lo + hi) >> 1; (unaryFun!pred(as[mid]) ? hi : lo) = mid; } return hi; } int lowerBound(T)(in T[] as, T val) { return as.binarySearch!(a => (a >= val)); } int upperBound(T)(in T[] as, T val) { return as.binarySearch!(a => (a > val)); } void main() { try { for (; ; ) { const N = readInt; const Q = readInt; auto A = new long[N]; foreach (i; 0 .. N) { A[i] = readLong; } auto D = new long[Q]; foreach (q; 0 .. Q) { D[q] = readLong; } // max_i (A[i] - d i) int len; auto que = new int[N]; foreach (i; 0 .. N) { for (; len >= 2; ) { const i2 = que[len - 2]; const i1 = que[len - 1]; if ((i1 - i2) * (A[i] - A[i1]) - (A[i1] - A[i2]) * (i - i1) >= 0) { --len; } else { break; } } que[len++] = i; } debug { writeln("que = ", que[0 .. len]); } /* A[i] - d i < A[i+1] - d (i+1) <=> A[i+1] - A[i] > d */ auto bs = new long[N - 1]; foreach (i; 0 .. N - 1) { bs[i] = A[i + 1] - A[i]; } bs.sort; auto bsSum = new long[N]; foreach (i; 0 .. N - 1) { bsSum[i + 1] = bsSum[i] + bs[i]; } alias DQ = Tuple!(long, "d", int, "q"); auto dqs = new DQ[Q]; foreach (q; 0 .. Q) { dqs[q] = DQ(D[q], q); } dqs.sort; auto ans = new long[Q]; foreach (ref dq; dqs) { const d = dq.d, q = dq.q; for (; len >= 2; ) { const i2 = que[len - 2]; const i1 = que[len - 1]; if (A[i2] - d * i2 >= A[i1] - d * i1) { --len; } else { break; } } const i1 = que[len - 1]; const mx = A[i1] - d * i1; ans[q] += (mx - (A[N - 1] - d * (N - 1))); const pos = bs.lowerBound(d); ans[q] += (bsSum[N - 1] - bsSum[pos]) - d * ((N - 1) - pos); } foreach (q; 0 .. Q) { writeln(ans[q]); } debug { writeln("========"); } } } catch (EOFException e) { } }