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() { enum LIM = 90; auto F = new long[LIM]; F[0] = 0; F[1] = 1; foreach (i; 2 .. LIM) { F[i] = F[i - 1] + F[i - 2]; } debug { writeln("F = ", F); writeln(cast(real)(F[$ - 1])); } try { for (; ; ) { const numCases = readInt; foreach (caseId; 0 .. numCases) { const N = readInt; const W = readLong; auto A = new long[N + 2]; foreach (i; 2 .. N + 2) { A[i] = readLong; } alias Entry = Tuple!(long, "x", long, "cost"); Entry[] crt = [Entry(0, 0)]; foreach_reverse (i; 2 .. N + 2) { /* will remain: F[2] + ... + F[i-1] = F[i+1] - 2 {x, x + F[i]} -> {x, x + F[i], x + 2 F[i]} 2 F[i] > F[i+1] - 2 {x, x + F[i+1]} -> {x, x + F[i], x + F[i+1], x + F[i+2]} F[i+1] > F[i+1] - 2 */ assert(crt.length == 1 || (crt.length == 2 && (crt[1].x == crt[0].x + F[i] || crt[1].x == crt[0].x + F[i+1]))); Entry[] nxt = crt.dup; foreach (e; crt) { if (e.cost + A[i] <= W) { nxt ~= Entry(e.x + F[i], e.cost + A[i]); } } nxt.sort; const x0 = nxt[$ - 1].x - (F[i+1] - 2); crt = []; foreach (e; nxt) if (e.x >= x0) { if (crt.empty || crt[$ - 1].x < e.x) { crt ~= e; } } debug { writeln(crt); } } writeln(crt[$ - 1].x); } } } catch (EOFException e) { } }