let arr is given array of size N.

find the max_number in arr. O(n)

form an aux array of size_max

initiaize all elemnts of aux to 0. O(n)

for(i=0;i<N;i++)    O(n)
if(aux[arr[i]]>0)
return arr[i];             //duplicate element
else
aux[arr[i]]=i+1;

the solution requires extra memory.

pls correct me if i am wrong.

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