import std.algorithm, std.container, std.conv, std.math, std.range, std.typecons, std.stdio, std.string; auto rdsp(){return readln.splitter;} void pick(R,T)(ref R r,ref T t){t=r.front.to!T;r.popFront;} void readV(T...)(ref T t){auto r=rdsp;foreach(ref v;t)pick(r,v);} void readA(T)(size_t n,ref T[]t){t=new T[](n);auto r=rdsp;foreach(ref v;t)pick(r,v);} const mod = 10^^9+9; alias mint = FactorRing!mod; void main() { int n, k; readV(n, k); long[] a; readA(n, a); auto m = mint(0), s = mint(0); foreach (i; 0..k) { m += mint(2).repeatedSquare(k+i-1)*n; auto c1 = a.count!(ai => ai.bitTest(i)).to!int, c0 = n-c1; auto d0 = mint((c0*2-n).abs), d1= mint((c1*2-n).abs); if (k == 1) s += (d0*d0 + d1*d1)/2; else s += mint(2).repeatedSquare(k*2+i*2-3) * (d0*d0 + d1*d1); } writeln(m); writeln(s); } pure T repeatedSquare(alias pred = "a * b", T, U)(T a, U n) { return repeatedSquare!(pred, T, U)(a, n, T(1)); } pure T repeatedSquare(alias pred = "a * b", T, U)(T a, U n, T init) { import std.functional; alias predFun = binaryFun!pred; if (n == 0) return init; auto r = init; while (n > 0) { if (n&1) r = predFun(r, a); a = predFun(a, a); n >>= 1; } return r; } pragma(inline) { pure bool bitTest(T)(T n, size_t i) { return (n & (T(1) << i)) != 0; } pure T bitSet(T)(T n, size_t i) { return n | (T(1) << i); } pure T bitReset(T)(T n, size_t i) { return n & ~(T(1) << i); } pure T bitComp(T)(T n, size_t i) { return n ^ (T(1) << i); } pure T bitSet(T)(T n, size_t s, size_t e) { return n | ((T(1) << e) - 1) & ~((T(1) << s) - 1); } pure T bitReset(T)(T n, size_t s, size_t e) { return n & (~((T(1) << e) - 1) | ((T(1) << s) - 1)); } pure T bitComp(T)(T n, size_t s, size_t e) { return n ^ ((T(1) << e) - 1) & ~((T(1) << s) - 1); } import core.bitop; pure int bsf(T)(T n) { return core.bitop.bsf(ulong(n)); } pure int bsr(T)(T n) { return core.bitop.bsr(ulong(n)); } pure int popcnt(T)(T n) { return core.bitop.popcnt(ulong(n)); } } struct FactorRing(int m, bool pos = false) { version(BigEndian) union { long vl; struct { int vi2; int vi; } } else union { long vl; int vi; } alias FR = FactorRing!(m, pos); @property static init() { return FR(0); } @property int value() { return vi; } @property void value(int v) { vi = mod(v); } alias value this; this(int v) { vi = v; } this(int v, bool runMod) { vi = runMod ? mod(v) : v; } this(long v) { vi = mod(v); } ref auto opAssign(int v) { vi = v; return this; } pure auto mod(int v) const { static if (pos) return v%m; else return (v%m+m)%m; } pure auto mod(long v) const { static if (pos) return cast(int)(v%m); else return cast(int)((v%m+m)%m); } static if (!pos) pure ref auto opUnary(string op: "-")() { return FR(mod(-vi)); } static if (m < int.max / 2) { pure ref auto opBinary(string op)(int r) if (op == "+" || op == "-") { return FR(mod(mixin("vi"~op~"r"))); } ref auto opOpAssign(string op)(int r) if (op == "+" || op == "-") { vi = mod(mixin("vi"~op~"r")); return this; } } else { pure ref auto opBinary(string op)(int r) if (op == "+" || op == "-") { return FR(mod(mixin("vl"~op~"r"))); } ref auto opOpAssign(string op)(int r) if (op == "+" || op == "-") { vi = mod(mixin("vl"~op~"r")); return this; } } pure ref auto opBinary(string op: "*")(int r) { return FR(mod(vl*r)); } ref auto opOpAssign(string op: "*")(int r) { vi = mod(vl*r); return this; } pure ref auto opBinary(string op)(ref FR r) if (op == "+" || op == "-" || op == "*") { return opBinary!op(r.vi); } ref auto opOpAssign(string op)(ref FR r) if (op == "+" || op == "-" || op == "*") { return opOpAssign!op(r.vi); } }