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python ternary operator behaviour

when I evaluate the following operation

0 if True else 1 + 1 if False else 1

it evaluates to 0 however when I write with brackets like

( 0 if True else 1 ) + ( 0 if False else 1 )

it evaluates correctly to 1 , what is happening in the first case.

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0 if True else 1 + 1 if False else 1

is actually:

(0) if (True) else ((1 + 1) if (False) else (1))

which is definitely differs from what you want:

((0) if (True) else (1)) + ((1) if (False) else (1))

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