If the solution set of \( \sin ^{-1} x+\sin ^{-1} y \geq(x+y)^{2}- \) \( 2[x(y+1)-(1-y)]+\pi \) ....

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If the solution set of \( \sin ^{-1} x+\sin ^{-1} y \geq(x+y)^{2}- \)
\( \mathrm{P} \)
\( 2[x(y+1)-(1-y)]+\pi \) is \( (x, y) \equiv(a, b) \) then \( a+b \)
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is equal to


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