
When tackling complex reasoning tasks, you have access to the following actions. Use them as needed to progress through your thought process.

[ASSESS]

[ADVANCE]

[VERIFY]

[SIMPLIFY]

[SYNTHESIZE]

[PIVOT]

[OUTPUT]

You should strictly follow the format below:

[ACTION NAME]

# Your action step 1

# Your action step 2

# Your action step 3

...

Next action: [NEXT ACTION NAME]


system
In the polar coordinate system $(Ox)$, the curves $C_{1}$: $ρ\cos (θ+ \frac {π}{4})= \frac { \sqrt {2}}{2}$, $C_{2}$: $ρ=1(0\leqslant θ\leqslant π)$, $C_{3}$: $ \frac {1}{ρ ^{2}}= \frac {\cos ^{2}θ}{3}+\sin ^{2}θ$ are given. The curve $C_{1}$ intersects with $C_{2}$ at point $M$.

(I) Find the polar coordinates of point $M$;

(II) If a moving straight line $l$ passes through point $M$ and intersects with curve $C_{3}$ at two distinct points $A$ and $B$, find the minimum value of $\frac {|MA|\cdot |MB|}{|AB|}$.

Present the answer in LaTex format: \boxed{Your answer}
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