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javascript - Variadic curried sum function

I need a js sum function to work like this:

sum(1)(2) = 3
sum(1)(2)(3) = 6
sum(1)(2)(3)(4) = 10 
etc.

I heard it can't be done. But heard that if adding + in front of sum can be done. Like +sum(1)(2)(3)(4).
Any ideas of how to do this?

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Not sure if I understood what you want, but

function sum(n) {
  var v = function(x) {
    return sum(n + x);
  };

  v.valueOf = v.toString = function() {
    return n;
  };

  return v;
}

console.log(+sum(1)(2)(3)(4));

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