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)); } long readLong() { int s = 1, c; for (; ; ) { c = getchar(); if ('0' <= c && c <= '9') break; if (c == -1) throw new EOFException; if (c == '-') s = -1; } long x = c - '0'; for (; ; ) { c = getchar(); if (!('0' <= c && c <= '9')) return s * x; x = x * 10 + (c - '0'); } } // floor(sqrt(a)) long floorSqrt(long a) { import core.bitop : bsr; import std.algorithm : min; long b = a, x = 0, y = 0; for (int e = bsr(a) & ~1; e >= 0; e -= 2) { x <<= 1; y <<= 1; if (b >= (y | 1) << e) { b -= (y | 1) << e; x |= 1; y += 2; } } return x; } void main() { try { for (; ; ) { const N = cast(int)(readLong()); auto X = new long[N]; foreach (i; 0 .. N) { X[i] = readLong(); } long upp; real low = 0.0L; foreach (i; 0 .. N) { if (X[i] > 0) { const k = floorSqrt(X[i]); upp += k; /* sqrt(X[i]) - k = (X[i] - k^2) / (sqrt(X[i]) + k) */ low += (X[i] - k^^2) / (sqrt(cast(real)(X[i])) + k); } const ans = format("%.18f", upp + low); foreach (c; ans[0 .. min($, 18)]) { putchar(c); } putchar('\n'); } } } catch (EOFException e) { } }