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Given that ABCDE is a pentagon which is convex and is inscribed in a circle of radius 1 unit with AE as diameter. If AB=a,BC=b ,CD=c and DE=d, then maximum possible integral value of a²+b²+c²+d²+abc+bcd is

Given that ABCDE is a pentagon which is convex and is inscribed in a circle of radius 1 unit with AE as diameter. If AB=a,BC=b ,CD=c and DE=d, then maximum possible integral value of a²+b²+c²+d²+abc+bcd is

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