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If p=sum(p=1)^(32)(3p+2)(sum(q=1)^(10)(s...

If `p=sum_(p=1)^(32)(3p+2)(sum_(q=1)^(10)(sin""(2qpi)/(11)-icos""(2qpi)/(11)))^(p)`, where `i=sqrt(-1)` and if (1+i)P=n(n!),n `in` N, then the value of n is

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