// Candidate denominations
var candidates = [0.02,0.03,0.04,0.05,0.06,0.7,0.08,0.09,0.10,0.12,0.13,0.15,0.20,0.25,0.30,0.35,0.40,0.45,0.50,0.60,0.7,0.8,0.9,1];

// All amounts between one cent and a dollar
var amounts = Array
  .apply(0, Array(100))
  .map(function (element, i) {
       return (i+1)/100;
   });

// Standard combinatory function
function comb(c) {
  var n = candidates.length;
  var s=[];

  function bitprint(u) {
    var s=[];
    for (var n=0; u; ++n, u>>=1)
      if (u&1) s.push(candidates[n]);
    return s;
  }

  function bitcount(u) {
    for (var n=0; u; ++n, u=u&(u-1));
    return n;
  }

  for (var u=0; u<1<<n; u++)
    if (bitcount(u)==c)
      s.push(bitprint(u));
  return s;
}

// Roll through all combinations and pick minimum score
function denom(n) {
  return comb(n-1)
    .reduce(function(p,c) {
      c = c.sort().reverse().concat(0.01);
      var score = amounts.reduce(function(p,s) {
        return p + c.reduce(function(p,d) {
          if (s > 0) {
            p += Math.floor(s/d);
            s = s % d;
          }
          return p;
        },0);
      },0);
      return (p && p.score < score) ? p : { score: score, denom: c};
    });
}