The first three values in the sum are equal to $$1$$, the next five equal to $$2$$, the next seven equal to $$3$$, and the last one equal to $$4$$, For example, since $$2^{2}=4$$ any square root of a number less than $$4$$ must be less than $$2$$. Sum them all together to get $$3\times 1+5\times 2+7\times 3+1\times 4=3+10+21+4=38$$. 
$$[x]$$ 表示不超过$$x$$的最大整数$$.$$ 例如, $$[3]=3$$, $$\left[\frac 92\right]=4$$. 求$$[\sqrt 1]+[\sqrt 2]+[\sqrt 3]+\cdots +[\sqrt {16}]$$的值.
Options:
(A) $$35$$ 
(B) $$38$$ 
(C) $$40$$ 
(D) $$42$$ 
(E) $$136$$ 