import std.conv, std.functional, std.stdio, std.string; import std.algorithm, std.array, std.bigint, std.container, std.math, std.numeric, std.range, 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)); } enum LIM = 10^^4; alias Rat = Tuple!(long, "p", long, "q"); Rat add(Rat a, Rat b) { return Rat(a.p * b.q + b.p * a.q, a.q * b.q); } Rat sub(Rat a, Rat b) { return Rat(a.p * b.q - b.p * a.q, a.q * b.q); } Rat mul(Rat a, Rat b) { return Rat(a.p * b.p, a.q * b.q); } Rat div(Rat a, Rat b) { return Rat(a.p * b.q, a.q * b.p); } int N; long[] A; void main() { try { for (; ; ) { N = readInt(); A = new long[N]; foreach (i; 0 .. N) { A[i] = readLong(); } auto dp = new Rat[][1 << N]; foreach (i; 0 .. N) { dp[1 << i] = [Rat(A[i], 1)]; } foreach (s; 1 .. 1 << N) { if (popcnt(s) <= max(2, N - 2)) { for (int t = s; --t &= s; ) { if (t < (s ^ t)) { foreach (x; dp[t]) foreach (y; dp[s ^ t]) { dp[s] ~= add(x, y); dp[s] ~= sub(x, y); dp[s] ~= sub(y, x); dp[s] ~= mul(x, y); if (y.p != 0) { dp[s] ~= div(x, y); } if (x.p != 0) { dp[s] ~= div(y, x); } } } } } dp[s] = dp[s].sort.uniq.array; } debug { writeln("max |dp[*]| = ", dp.map!"a.length".maxElement); } foreach (s; 1 .. 1 << N) { foreach (ref x; dp[s]) { const g = gcd(abs(x.p), abs(x.q)); x.p /= g; x.q /= g; if (x.q < 0) { x.p *= -1; x.q *= -1; } } dp[s] = dp[s].sort.uniq.array; } bool ans; foreach (s; 1 .. 1 << N) foreach (t; 1 .. 1 << N) { if (!(s & t) && !dp[s].empty && !dp[t].empty) { foreach (y; dp[t]) { const pos = dp[s].lowerBound(y); if (pos < dp[s].length && dp[s][pos] == y) { ans = true; } } } } writeln(ans ? "YES" : "NO"); } } catch (EOFException e) { } }