Let a circle \( C : (x - h)^{2} + (y - k)^{2} = r^{2}, \ k > 0, \) touch the \( x \)-axis at \( (1, 0) \). If the line \( x + y = 0 \) intersects the circle \( C \) at \( P \) and \( Q \) such that the length of the chord \( PQ \) is \( 2 \), then the value of \( h + k + r \) is equal to ___.
