Step 1: Recall the pattern of filling.
In lanthanoids and actinoids the last electron should enter the f subshell. The expected pattern is a steady rise in f electrons across the series.
Step 2: Test the assertion with examples.
Actinium has $6d^1$ and no 5f electron. Thorium has $6d^2$ with no 5f electron. Curium has $5f^7 6d^1$ instead of $5f^8$. Such jumps break the simple order, so actinoids do show irregularities. The assertion is correct.
Step 3: Test the reason.
A $5f$ set that is empty, half-filled or full is stable. Curium holds on to the stable $5f^7$ half-filled shell and puts the next electron in 6d.
The small energy gap between 5f and 6d also lets electrons move easily. The reason is correct.
Step 4: Decide on the link.
The stability of $f^0$, $f^7$ and $f^{14}$ is what causes the odd configurations. So the reason gives the explanation of the assertion.
Final Answer:
Both are true and R is the right explanation.
\[ \boxed{\text{Option (A)}} \]