Positive integral value of $\text{'}a\text{'}$ for which the function $f\left(x\right)=x^3+\left(2a+3\right)x^2+3\left(2a+1\right)x+5$ is monotonic in $R,$ is

The graph of the derivative $f^{\text{'}}$ of a continuous function $f$ is shown with $f\left(0\right)=0.$ If

(i) $f$ is monotonic increasing in the interval $\left[a, b\right)\cup \left(c, d\right)\cup \left(e, f\right]$ and decreasing in $\left(p, q\right)\cup \left(r, s\right)$.

(ii) $f$ has local minima at $x=x_1$and $x=x_2$.

(iii) $f$ is concave up in $\left(\mathcal{l}, m\right)\cup \left(n, t\right]$.

(iv) $f$ has inflection point at $x=k$.

(v) number of critical points of $y=f\left(x\right)$ is $\text{'}w\text{'}$.

The value of $\left(a+b+c+d+e\right)+\left(p+q+r+s\right)+\left(\mathcal{l}+m+n\right)+\left(x_1+x_2\right)+\left(k+w\right)$ is