import std.stdio, std.conv, std.functional, std.string; import std.algorithm, std.array, std.container, std.range, std.typecons; import std.bigint, std.numeric, std.math, std.random; import core.bitop; string FMT_F = "%.10f"; static File _f; void file_io(string fn) { _f = File(fn, "r"); } static string[] s_rd; T _RD(T = long)() { while(!s_rd.length) s_rd = readln.chomp.split; string res = s_rd[0]; s_rd.popFront; return res.to!T; } T _RD(T = long)(File f) { while(!s_rd.length) s_rd = f.readln.chomp.split; string res = s_rd[0]; s_rd.popFront; return res.to!T; } T[] _RDA(T = long)(T fix = 0) { auto r = readln.chomp.split.to!(T[]); r[] += fix; return r; } T[] _RDA(T = long)(File f, T fix = 0) { auto r = f.readln.chomp.split.to!(T[]); r[] += fix; return r; } T RD(T = long)() { if (_f.isOpen) return _RD!T(_f); else return _RD!T; } T[] RDA(T = long)(T fix = 0) { if (_f.isOpen) return _RDA!T(_f, fix); else return _RDA!T(fix); } size_t[] MAKE_IDX(alias less = "a < b", Range)(Range range) { auto idx = new size_t[](range.length); makeIndex!(less)(range, idx); return idx;} size_t MIN_POS(alias less = "a < b", Range)(Range range) { auto r = minPos!(less)(range); return range.length - r.length; } void chmin(T)(ref T x, T y) { x = min(x, y); } void chmax(T)(ref T x, T y) { x = max(x, y); } bool inside(T)(T x, T b, T e) { return x >= b && x < e; } T lcm(T)(T x, T y) { return x * (y / gcd(x, y)); } double euDist(T)(T[] a, T[] b) { auto c = a.dup; c[] -= b[]; c[] *= c[]; return sqrt(cast(double)c.sum); } double[] rotate(double[] vec, double rad) { return [cos(rad)*vec[0] - sin(rad)*vec[1], sin(rad)*vec[0] + cos(rad)*vec[1]]; } double norm(double[] vec) { return sqrt(reduce!((a,b)=>a+b*b)(0.0, vec)); } double dotProd(double[] a, double[] b) { auto r = a.dup; r[] *= b[]; return r.sum; } //long mod = 10^^9 + 7; long mod = 998_244_353; //long mod = 1_000_003; void moda(ref long x, long y) { x = (x + y) % mod; } void mods(ref long x, long y) { x = ((x + mod) - (y % mod)) % mod; } void modm(ref long x, long y) { x = (x * y) % mod; } void modpow(ref long x, long y) { if (!y) { x = 1; return; } auto t = x; x.modpow(y>>1); x.modm(x); if (y&1) x.modm(t); } void modd(ref long x, long y) { y.modpow(mod - 2); x.modm(y); } void main() { auto N = RD; auto A = RDA; A.sort; long cnt; while (!A.empty) { if (A.front != 0) break; ++cnt; A.popFront; } long[long] d; if (!A.empty) { foreach (i; 0..A.length-1) { auto x = A[i+1] - A[i]; ++d[x]; } } debug writeln(d); bool ans = true; if (d.length >= 2) { auto keys = d.keys.sort; if (keys[0] == 0) ans = false; else { long x; foreach (key; keys) x = gcd(x, key); debug writeln("x:", x); foreach (key; keys) { if (key == x) continue; bool ok; foreach (i; 1..cnt+1) { if (key / x != i+1) continue; cnt -= i * d[key]; if (cnt >= 0) ok = true; break; } if (!ok) { ans = false; break; } debug writeln("key:", key, " cnt:", cnt); } } } writeln(ans ? "Yes" : "No"); stdout.flush; debug readln; }