{"trustable":true,"sections":[{"title":"","value":{"format":"HTML","content":"\u003cp\u003eFarmer John\u0027s \u003ci\u003eN\u003c/i\u003e cows (1 ≤ \u003ci\u003eN\u003c/i\u003e ≤ 100,000) share many similarities. In fact, FJ has been able to narrow down the list of features shared by his cows to a list of only \u003ci\u003eK\u003c/i\u003e different features (1 ≤ \u003ci\u003eK\u003c/i\u003e ≤ 30). For example, cows exhibiting feature #1 might have spots, cows exhibiting feature #2 might prefer C to Pascal, and so on.\u003c/p\u003e\u003cp\u003eFJ has even devised a concise way to describe each cow in terms of its \"feature ID\", a single K-bit integer whose binary representation tells us the set of features exhibited by the cow. As an example, suppose a cow has feature ID \u003d 13. Since 13 written in binary is 1101, this means our cow exhibits features 1, 3, and 4 (reading right to left), but not feature 2. More generally, we find a 1 in the 2^(\u003ci\u003ei\u003c/i\u003e-1) place if a cow exhibits feature \u003ci\u003ei\u003c/i\u003e.\u003c/p\u003e\u003cp\u003eAlways the sensitive fellow, FJ lined up cows 1..\u003ci\u003eN\u003c/i\u003e in a long row and noticed that certain ranges of cows are somewhat \"balanced\" in terms of the features the exhibit. A contiguous range of cows \u003ci\u003ei\u003c/i\u003e..\u003ci\u003ej\u003c/i\u003e is balanced if each of the \u003ci\u003eK\u003c/i\u003e possible features is exhibited by the same number of cows in the range. FJ is curious as to the size of the largest balanced range of cows. See if you can determine it.\u003c/p\u003e"}},{"title":"Input","value":{"format":"HTML","content":"Line 1: Two space-separated integers, \u003ci\u003eN\u003c/i\u003e and \u003ci\u003eK\u003c/i\u003e.\r\u003cbr\u003eLines 2..\u003ci\u003eN\u003c/i\u003e+1: Line \u003ci\u003ei\u003c/i\u003e+1 contains a single \u003ci\u003eK\u003c/i\u003e-bit integer specifying the features present in cow \u003ci\u003ei\u003c/i\u003e. The least-significant bit of this integer is 1 if the cow exhibits feature #1, and the most-significant bit is 1 if the cow exhibits feature #\u003ci\u003eK\u003c/i\u003e."}},{"title":"Output","value":{"format":"HTML","content":"Line 1: A single integer giving the size of the largest contiguous balanced group of cows."}},{"title":"Sample","value":{"format":"HTML","content":"\u003ctable class\u003d\u0027vjudge_sample\u0027\u003e\n\u003cthead\u003e\n \u003ctr\u003e\n \u003cth\u003eInput\u003c/th\u003e\n \u003cth\u003eOutput\u003c/th\u003e\n \u003c/tr\u003e\n\u003c/thead\u003e\n\u003ctbody\u003e\n \u003ctr\u003e\n \u003ctd\u003e\u003cpre\u003e7 3\r\n7\r\n6\r\n7\r\n2\r\n1\r\n4\r\n2\u003c/pre\u003e\u003c/td\u003e\n \u003ctd\u003e\u003cpre\u003e4\u003c/pre\u003e\u003c/td\u003e\n \u003c/tr\u003e\n\u003c/tbody\u003e\n\u003c/table\u003e\n"}},{"title":"Hint","value":{"format":"HTML","content":"In the range from cow #3 to cow #6 (of size 4), each feature appears in exactly 2 cows in this range"}}]}