Given an array nums of positive integers, return the longest possible length of an array prefix of nums, such that it is possible to remove exactly one element from this prefix so that every number that has appeared in it will have the same number of occurrences.
If after removing one element there are no remaining elements, it's still considered that every appeared number has the same number of ocurrences (0).
 
Example 1:
Input: nums = [2,2,1,1,5,3,3,5]
Output: 7
Explanation: For the subarray [2,2,1,1,5,3,3] of length 7, if we remove nums[4]=5, we will get [2,2,1,1,3,3], so that each number will appear exactly twice.

Example 2:
Input: nums = [1,1,1,2,2,2,3,3,3,4,4,4,5]
Output: 13

Example 3:
Input: nums = [1,1,1,2,2,2]
Output: 5

Example 4:
Input: nums = [10,2,8,9,3,8,1,5,2,3,7,6]
Output: 8

 
Constraints:

2 <= nums.length <= 10^5
1 <= nums[i] <= 10^5

Difficulty: MEDIUM
Tags: Data structures
Skill types: Data structures

Starter code:
class Solution:
    def maxEqualFreq(self, nums: List[int]) -> int:
        

Solutions:
class Solution:

	def isvalid(self, C):
		if len(C) > 2:
			return False
		if len(C) == 1:
			a = min(C)
			if a == 1 or C[a] == 1:
				return True
			return False
		(a, b) = sorted(C)
		if a == C[a] == 1:
			return True
		return True if C[b] == 1 and b - 1 == a else False

	def remove(self, B, x):
		if B[x] == 1:
			B.pop(x)
		else:
			B[x] -= 1

	def maxEqualFreq(self, A):
		remove = self.remove
		B = Counter(A)
		C = Counter(B.values())
		for i in reversed(range(len(A))):
			if self.isvalid(C):
				return i + 1
			x = A[i]
			remove(C, B[x])
			remove(B, x)
			if B[x]:
				C[B[x]] += 1
		return 0


class Solution:

	def maxEqualFreq(self, A: List[int]) -> int:
		n = len(A)
		count = collections.defaultdict(int)
		freq = collections.defaultdict(int)
		for i in range(n):
			count[A[i]] += 1
			freq[count[A[i]]] += 1
		for i in range(n - 1, 0, -1):
			if count[A[i]] * freq[count[A[i]]] == i:
				return i + 1
			freq[count[A[i]]] -= 1
			count[A[i]] -= 1
			if count[A[i - 1]] * freq[count[A[i - 1]]] == i:
				return i + 1
		return 1


class Solution:

	def maxEqualFreq(self, nums: List[int]) -> int:
		counts = collections.defaultdict(int)
		freq = collections.defaultdict(int)
		res = 0
		for i in range(len(nums)):
			counts[nums[i]] += 1
			freq[counts[nums[i]]] += 1
			count = counts[nums[i]] * freq[counts[nums[i]]]
			if count == i + 1 and i != len(nums) - 1:
				res = max(res, i + 2)
			if count == i:
				res = max(res, i + 1)
		return res


from collections import Counter, defaultdict

class Solution:

	def maxEqualFreq(self, nums: List[int]) -> int:
		counter = Counter(nums)
		d = defaultdict(set)
		for x in counter:
			d[counter[x]].add(x)
		i = len(nums)
		while d:
			if len(d) == 1:
				k = list(d.keys())[0]
				if k == 1 or len(d[k]) == 1:
					return i
			if len(d) == 2:
				(y, z) = sorted(d.keys())
				if y == 1 and len(d[y]) == 1 or (y + 1 == z and len(d[z]) == 1):
					return i
			i -= 1
			x = nums[i]
			d[counter[x]].remove(x)
			if not d[counter[x]]:
				d.pop(counter[x])
			counter[x] -= 1
			if counter[x] > 0:
				d[counter[x]].add(x)
		return 0


class Solution:

	def maxEqualFreq(self, nums: List[int]) -> int:
		num_freq = {}
		freq_freq = {}
		for num in nums:
			num_freq[num] = num_freq.get(num, 0) + 1
		for f in num_freq.values():
			freq_freq[f] = freq_freq.get(f, 0) + 1
		n = len(nums)
		if len(freq_freq) == 2:
			(key1, key2) = list(freq_freq.keys())
			if freq_freq[key1] == 1 and (key1 == 1 or key1 == key2 + 1):
				return n
			if freq_freq[key2] == 1 and (key2 == 1 or key2 == key1 + 1):
				return n
		if len(freq_freq) == 1:
			key = list(freq_freq.keys())[0]
			if key == 1 or freq_freq[key] == 1:
				return n
		for i in range(n):
			num = nums[n - i - 1]
			prev_freq = num_freq[num]
			num_freq[num] -= 1
			freq_freq[prev_freq] -= 1
			if freq_freq[prev_freq] == 0:
				del freq_freq[prev_freq]
			if num_freq[num] != 0:
				freq_freq[num_freq[num]] = freq_freq.get(num_freq[num], 0) + 1
			if len(freq_freq) == 2:
				(key1, key2) = list(freq_freq.keys())
				if freq_freq[key1] == 1 and (key1 == 1 or key1 == key2 + 1):
					return n - i - 1
				if freq_freq[key2] == 1 and (key2 == 1 or key2 == key1 + 1):
					return n - i - 1
			if len(freq_freq) == 1:
				key = list(freq_freq.keys())[0]
				if key == 1 or freq_freq[key] == 1:
					return n - i - 1
		return 0


from collections import defaultdict

class Solution:

	def maxEqualFreq(self, nums: List[int]) -> int:
		if not nums:
			return 0
		ans = 0
		max_f = 0
		(counter, freq_counter) = (defaultdict(int), defaultdict(int))
		for (idx, val) in enumerate(nums):
			counter[val] += 1
			max_f = max(max_f, counter[val])
			freq_counter[counter[val] - 1] -= 1
			freq_counter[counter[val]] += 1
			if max_f == 1 or max_f * freq_counter[max_f] == idx or (max_f - 1) * (freq_counter[max_f - 1] + 1) == idx:
				ans = max(ans, idx + 1)
		return ans


class Solution:

	def maxEqualFreq(self, nums: List[int]) -> int:
		from collections import defaultdict
		freq = defaultdict(int)
		count = defaultdict(int)
		res = 0
		for (i, n) in enumerate(nums, 1):
			freq[count[n]] -= 1
			freq[count[n] + 1] += 1
			count[n] += 1
			if freq[count[n]] * count[n] == i and i < len(nums):
				res = i + 1
			d = i - freq[count[n]] * count[n]
			if d in [1, count[n] + 1] and freq[d] == 1:
				res = i
		return res


class Solution:

	def maxEqualFreq(self, nums: List[int]) -> int:
		(counts, freq) = (collections.Counter(), collections.Counter())
		res = 0
		for (i, num) in enumerate(nums):
			counts[num] += 1
			freq[counts[num]] += 1
			count = freq[counts[num]] * counts[num]
			if count == i + 1 and i != len(nums) - 1:
				res = max(res, i + 2)
			elif count == i:
				res = max(res, i + 1)
		return res


class Solution:

	def maxEqualFreq(self, nums: List[int]) -> int:
		(freq_count, count, res, maxf) = (defaultdict(int), defaultdict(int), 0, 0)
		for (i, a) in enumerate(nums):
			count[a] += 1
			freq_count[count[a] - 1] -= 1
			freq_count[count[a]] += 1
			maxf = max(maxf, count[a])
			if maxf == 1 or maxf * freq_count[maxf] + 1 == i + 1 or (maxf - 1) * freq_count[maxf - 1] + maxf == i + 1:
				res = i + 1
		return res


class Solution:

	def maxEqualFreq(self, nums: List[int]) -> int:
		count = collections.Counter()
		freq = [0 for _ in range(len(nums) + 1)]
		res = 0
		for (n, a) in enumerate(nums, 1):
			freq[count[a]] -= 1
			freq[count[a] + 1] += 1
			c = count[a] = count[a] + 1
			if freq[c] * c == n and n < len(nums):
				res = n + 1
			d = n - freq[c] * c
			if d in [c + 1, 1] and freq[d] == 1:
				res = n
		return res


from collections import defaultdict

class Solution:

	def maxEqualFreq(self, nums: List[int]) -> int:
		n = len(nums)
		elemfreq = defaultdict(int)
		freqcnt = defaultdict(int)
		i = 0
		n_distinct = 0
		maxfreq = 0
		maxprefix = None
		while i != n:
			x = nums[i]
			if elemfreq[x] == 0:
				n_distinct += 1
				elemfreq[x] += 1
				freqcnt[1] += 1
			else:
				freqcnt[elemfreq[x]] -= 1
				freqcnt[elemfreq[x] + 1] += 1
				elemfreq[x] += 1
			maxfreq = max(maxfreq, elemfreq[x])
			if maxfreq == 1:
				maxprefix = i
			elif freqcnt[1] == 1 and freqcnt[maxfreq] == n_distinct - 1:
				maxprefix = i
			elif freqcnt[maxfreq] == 1 and freqcnt[maxfreq - 1] == n_distinct - 1:
				maxprefix = i
			i += 1
		return maxprefix + 1


class Solution:

	def maxEqualFreq(self, nums) -> int:
		res = maxFrq = 0
		count = defaultdict(int)
		freq = defaultdict(int)
		for (i, num) in enumerate(nums):
			cnt = count[num]
			freq[cnt] -= 1
			cnt += 1
			count[num] = cnt
			freq[cnt] += 1
			maxFrq = max(maxFrq, cnt)
			if maxFrq == 1 or maxFrq * freq[maxFrq] == i or (maxFrq - 1) * (freq[maxFrq - 1] + 1) == i:
				res = i + 1
		return res


class Solution:

	def maxEqualFreq(self, nums: List[int]) -> int:
		(countMap, freqMap, maxFreq, maxIndex) = (defaultdict(int), defaultdict(int), 0, 0)
		for (index, x) in enumerate(nums):
			freqMap[countMap[x]] -= 1
			countMap[x] += 1
			freqMap[countMap[x]] += 1
			maxFreq = max(maxFreq, countMap[x])
			if maxFreq * freqMap[maxFreq] == index or (maxFreq - 1) * (freqMap[maxFreq - 1] + 1) == index or maxFreq == 1:
				maxIndex = index + 1
		return maxIndex


from collections import Counter

class Solution:

	def maxEqualFreq(self, nums: List[int]) -> int:
		dic = Counter(nums)
		dicdic = Counter(list(dic.values()))
		if len(nums) == 2:
			return 2
		while True:
			if len(dicdic) == 1 and (min(dicdic) == 1 or min(dicdic.values()) == 1):
				return len(nums)
			if len(dicdic) == 2:
				max_dicdic_keys = max(dicdic)
				min_dicdic_keys = min(dicdic)
				if max_dicdic_keys - min_dicdic_keys == 1 and dicdic[max_dicdic_keys] == 1:
					return len(nums)
				if min_dicdic_keys == 1 and dicdic[min_dicdic_keys] == 1:
					return len(nums)
			cleanup = nums.pop()
			if dic[cleanup] - 1 == 0:
				del dic[cleanup]
			else:
				dic[cleanup] = dic[cleanup] - 1
			dicdic = Counter(list(dic.values()))
		return


from collections import defaultdict

class Solution:

	def maxEqualFreq(self, nums: List[int]) -> int:
		(counter, freq) = (defaultdict(int), defaultdict(int))
		max_f = 0
		ans = 0
		for (idx, num) in enumerate(nums):
			counter[num] += 1
			freq[counter[num] - 1] -= 1
			freq[counter[num]] += 1
			max_f = max(max_f, counter[num])
			if freq[max_f] * max_f == idx or max_f == 1 or (max_f - 1) * (freq[max_f - 1] + 1) == idx:
				ans = idx + 1
		return ans


class Solution:

	def maxEqualFreq(self, nums: List[int]) -> int:
		(cnt, freq) = (collections.defaultdict(int), collections.defaultdict(int))
		(maxF, res) = (0, 0)
		for (i, num) in enumerate(nums):
			cnt[num] += 1
			freq[cnt[num] - 1] -= 1
			freq[cnt[num]] += 1
			maxF = max(maxF, cnt[num])
			if maxF * freq[maxF] == i or (maxF - 1) * (freq[maxF - 1] + 1) == i or maxF == 1:
				res = i + 1
		return res


class Solution:

	def maxEqualFreq(self, nums: List[int]) -> int:
		(counter, pattern) = ({}, {})
		rtn = 0
		if len(nums) <= 3:
			return len(nums)
		for i in range(len(nums)):
			n = nums[i]
			if n in counter:
				t = counter[n]
				counter[n] += 1
			else:
				t = 0
				counter[n] = 1
			if t > 0:
				pattern[t] -= 1
				if pattern[t] == 0:
					del pattern[t]
			if t + 1 in pattern:
				pattern[t + 1] += 1
			else:
				pattern[t + 1] = 1
			if len(pattern) == 1:
				for (k, v) in list(pattern.items()):
					if k == 1 or v == 1:
						rtn = max(rtn, i)
			elif len(pattern) == 2:
				if 1 in pattern and pattern[1] == 1:
					rtn = max(i, rtn)
				[m1, m2] = [(k, v) for (k, v) in list(pattern.items())]
				if m1[0] - m2[0] == 1 and m1[1] == 1 or (m2[0] - m1[0] == 1 and m2[1] == 1):
					rtn = max(rtn, i)
		return rtn + 1


class Solution:

	def maxEqualFreq(self, nums: List[int]) -> int:
		N = len(nums)
		freqCount = [0 for i in range(N + 1)]
		umap = dict()
		minFreq = 1
		maxFreq = 1
		umap[nums[0]] = 1
		freqCount[1] = 1
		result = 1
		for i in range(1, N):
			if nums[i] not in umap:
				umap[nums[i]] = 1
				minFreq = 1
			else:
				freqCount[umap[nums[i]]] -= 1
				if freqCount[umap[nums[i]]] == 0 and minFreq == umap[nums[i]]:
					minFreq = umap[nums[i]] + 1
				umap[nums[i]] += 1
			freqCount[umap[nums[i]]] += 1
			if umap[nums[i]] > maxFreq:
				maxFreq = umap[nums[i]]
			if maxFreq == minFreq + 1 and freqCount[maxFreq] == 1:
				result = i + 1
			if maxFreq == minFreq and freqCount[maxFreq] == i + 1:
				result = i + 1
			if maxFreq == minFreq and freqCount[maxFreq] == 1:
				result = i + 1
			if maxFreq * freqCount[maxFreq] == i:
				result = i + 1
		return result


class Solution:

	def maxEqualFreq(self, nums: List[int]) -> int:
		d = Counter(nums)
		for i in reversed(range(len(nums))):
			vlist = list(d.values())
			s = list(set(vlist))
			if len(s) == 1:
				if s[0] == 1:
					return i + 1
				if len(vlist) == 1:
					return i + 1
			if len(s) == 2:
				if 1 in s:
					if vlist.count(1) == 1:
						return i + 1
				maxint = max(s[0], s[1])
				if vlist.count(maxint) == 1 and abs(s[1] - s[0]) == 1:
					return i + 1
			if d[nums[i]] == 1:
				d.pop(nums[i])
			else:
				d[nums[i]] -= 1
		return 1


class Solution:

	def maxEqualFreq(self, nums: List[int]) -> int:
		freqs = defaultdict(int)
		freqfreq = defaultdict(int)
		rec = 0
		for (i, n) in enumerate(nums):
			freqs[n] += 1
			freqfreq[freqs[n]] += 1
			if freqs[n] != 1:
				freqfreq[freqs[n] - 1] -= 1
				if freqfreq[freqs[n] - 1] == 0:
					del freqfreq[freqs[n] - 1]
			if len(freqfreq) < 3:
				if len(freqfreq) == 1 and len(freqs) == 1:
					rec = i + 1
				elif len(freqfreq) == 1 and list(freqfreq.keys())[0] == 1:
					rec = i + 1
				elif len(freqfreq) == 2:
					fs = sorted(freqfreq.keys())
					if fs[0] == 1 and freqfreq[fs[0]] == 1:
						rec = i + 1
					elif fs[0] + 1 == fs[1] and freqfreq[fs[1]] == 1:
						rec = i + 1
		return rec


class Solution:

	def maxEqualFreq(self, nums) -> int:
		res = maxFrq = 0
		count = defaultdict(int)
		freq = defaultdict(int)
		for i in range(len(nums)):
			cnt = count[nums[i]]
			freq[cnt] -= 1
			count[nums[i]] += 1
			cnt = count[nums[i]]
			freq[cnt] += 1
			maxFrq = max(maxFrq, count[nums[i]])
			if maxFrq == 1 or maxFrq * freq[maxFrq] == i or (maxFrq - 1) * (freq[maxFrq - 1] + 1) == i:
				res = i + 1
		return res


class Solution:

	def maxEqualFreq(self, nums: List[int]) -> int:
		count = collections.Counter()
		n = len(nums)
		freq = collections.Counter()
		res = 0
		for (i, a) in enumerate(nums, 1):
			if count[a] in freq:
				freq[count[a]] -= 1
			freq[count[a] + 1] += 1
			count[a] += 1
			f = count[a]
			if freq[f] * f == i and i < n:
				res = i + 1
			else:
				d = i - freq[f] * f
				if d in [1, f + 1] and freq[d] == 1:
					res = i
		return res


class Solution:

	def maxEqualFreq(self, nums: List[int]) -> int:
		res = 0
		numToCount = {}
		countToNum = {}
		for i in range(len(nums)):
			num = nums[i]
			if num not in numToCount:
				numToCount[num] = 0
			count = numToCount[num]
			if count != 0:
				countToNum[count].remove(num)
				if len(countToNum[count]) == 0:
					del countToNum[count]
			count += 1
			if count not in countToNum:
				countToNum[count] = set()
			countToNum[count].add(num)
			numToCount[num] = count
			if len(countToNum) == 1:
				if count == 1 or len(countToNum[count]) == 1:
					res = i + 1
			elif len(countToNum) == 2:
				keys = sorted(list(countToNum.keys()))
				if (keys[0] == 1 and len(countToNum[keys[0]])) == 1 or (keys[0] + 1 == keys[1] and len(countToNum[keys[1]]) == 1):
					res = i + 1
		return res


class Solution:

	def maxEqualFreq(self, nums: List[int]) -> int:
		hashtable = {}
		hashcount = {}
		m = 0
		for i in range(len(nums)):
			if nums[i] not in list(hashtable.keys()):
				hashtable[nums[i]] = 1
				if 1 not in list(hashcount.keys()):
					hashcount[1] = [nums[i]]
				else:
					hashcount[1].append(nums[i])
			else:
				c = hashtable[nums[i]]
				hashtable[nums[i]] += 1
				hashcount[c].remove(nums[i])
				if len(hashcount[c]) == 0:
					del hashcount[c]
				if c + 1 in list(hashcount.keys()):
					hashcount[c + 1].append(nums[i])
				else:
					hashcount[c + 1] = [nums[i]]
			if len(list(hashtable.keys())) == 1:
				m = i + 1
			else:
				l = list(hashcount.keys())
				if len(l) == 1 and l[0] == 1:
					m = max(m, i + 1)
				if len(list(hashcount.keys())) == 2:
					if 1 in list(hashcount.keys()) and len(hashcount[1]) == 1:
						m = max(m, i + 1)
					if abs(l[0] - l[1]) == 1 and len(hashcount[max(l[0], l[1])]) == 1:
						m = max(m, i + 1)
		return m


from collections import Counter

class Solution:

	def maxEqualFreq(self, nums: List[int]) -> int:
		val_occurences = Counter(nums)
		occ_count = Counter([v for (k, v) in list(val_occurences.items())])
		M = len(nums)
		for i in range(M - 1, -1, -1):
			if len(occ_count) == 2:
				for (k, v) in list(occ_count.items()):
					if v == 1 and (k - 1 in occ_count or k - 1 == 0):
						return i + 1
			elif len(occ_count) == 1:
				if 1 in list(occ_count.keys()) or 1 in list(occ_count.values()):
					return i + 1
			val = nums[i]
			count = val_occurences[val]
			val_occurences[val] -= 1
			if val_occurences[val] == 0:
				del val_occurences[val]
			occ_count[count] -= 1
			if occ_count[count] == 0:
				del occ_count[count]
			if count - 1 != 0:
				occ_count[count - 1] += 1
		return 0


from collections import Counter

class Solution:

	def maxEqualFreq(self, nums: List[int]) -> int:
		(counts, freq) = (Counter(), Counter())
		(ans, maxF) = (0, 0)
		for (i, num) in enumerate(nums):
			counts[num] += 1
			freq[counts[num] - 1] -= 1
			freq[counts[num]] += 1
			maxF = max(maxF, counts[num])
			if maxF * freq[maxF] == i or (maxF - 1) * (freq[maxF - 1] + 1) == i or maxF == 1:
				ans = i + 1
		return ans


class Solution:

	def maxEqualFreq(self, nums: List[int]) -> int:
		freq = {}
		num = {}
		m = 0
		for i in range(len(nums)):
			if nums[i] in num:
				num[nums[i]] += 1
				if num[nums[i]] in freq:
					freq[num[nums[i]]] += 1
					if num[nums[i]] - 1 in freq:
						freq[num[nums[i]] - 1] -= 1
					if num[nums[i]] - 1 in freq and freq[num[nums[i]] - 1] == 0:
						freq.pop(num[nums[i]] - 1)
				else:
					freq[num[nums[i]]] = 1
					if num[nums[i]] - 1 in freq:
						freq[num[nums[i]] - 1] -= 1
					if num[nums[i]] - 1 in freq and freq[num[nums[i]] - 1] == 0:
						freq.pop(num[nums[i]] - 1)
			else:
				num[nums[i]] = 1
				if 1 in freq:
					freq[1] += 1
					if 0 in freq and freq[0] == 0:
						freq.pop(0)
				else:
					freq[1] = 1
					if 0 in freq and freq[0] == 0:
						freq.pop(0)
			if len(freq) == 1 and 1 in freq:
				m = i + 1
			elif len(freq) == 2:
				a = list(freq.keys())
				b = max(a)
				c = min(a)
				if b - c == 1 and freq[b] == 1:
					m = i + 1
				if 1 in freq and freq[1] == 1:
					m = i + 1
		if len(freq) == 1 and len(set(nums)) == 1:
			return len(nums)
		return m


class Solution:

	def maxEqualFreq(self, nums: List[int]) -> int:
		count2num = defaultdict(set)
		num_count = Counter()
		max_len = 0

		def is_valid(count2num):
			counts = list(count2num.keys())
			if len(counts) == 1 and (counts[0] == 1 or len(count2num[counts[0]]) == 1):
				return True
			if len(counts) != 2:
				return False
			counts.sort()
			if counts[0] == 1 and len(count2num[1]) == 1:
				return True
			if counts[0] + 1 == counts[1] and len(count2num[counts[1]]) == 1:
				return True
			return False
		for i in range(len(nums)):
			num = nums[i]
			num_count[num] += 1
			count = num_count[num]
			count2num[count].add(num)
			if count > 1:
				count2num[count - 1].remove(num)
				if not count2num[count - 1]:
					count2num.pop(count - 1)
			if is_valid(count2num):
				max_len = max(max_len, i + 1)
		return max_len


class Solution:

	def isvalid(self, D):
		if len(D) > 2:
			return False
		if len(D) == 1:
			a = min(D)
			if a == 1 or D[a] == 1:
				return True
			return False
		(a, b) = (min(D), max(D))
		if a == D[a] == 1:
			return True
		return True if D[b] == 1 and a + 1 == b else False

	def maxEqualFreq(self, A):
		best = 0
		B = Counter()
		C = Counter()
		for (i, x) in enumerate(A):
			if B[x]:
				if C[B[x]] == 1:
					C.pop(B[x])
				else:
					C[B[x]] -= 1
			B[x] += 1
			C[B[x]] += 1
			if self.isvalid(C):
				best = i + 1
		return best


class Solution:

	def maxEqualFreq(self, nums: List[int]) -> int:
		counter = Counter()
		freq_counter = Counter()
		res = 0
		for (i, num) in enumerate(nums):
			if counter[num]:
				freq_counter[counter[num]] -= 1
				if not freq_counter[counter[num]]:
					del freq_counter[counter[num]]
			counter[num] += 1
			freq_counter[counter[num]] += 1
			if len(freq_counter) == 1:
				for k in freq_counter:
					if k == 1 or freq_counter[k] == 1:
						res = max(res, i + 1)
			if len(freq_counter) == 2:
				(k0, k1) = sorted(freq_counter)
				if freq_counter[1] == 1 or (k1 - k0 == 1 and freq_counter[k1] == 1):
					res = max(res, i + 1)
		return res


class Solution:

	def maxEqualFreq(self, A: List[int]) -> int:
		counter = collections.Counter()
		fre = [0] * (len(A) + 1)
		res = 0
		for (n, a) in enumerate(A, 1):
			c = counter[a]
			fre[c] -= 1
			fre[c + 1] += 1
			c += 1
			counter[a] += 1
			if c * fre[c] == n and n < len(A):
				res = n + 1
			d = n - c * fre[c]
			if d in [1, c + 1] and fre[d] == 1:
				res = n
		return res


from collections import defaultdict

class Solution:

	def maxEqualFreq(self, nums: List[int]) -> int:
		num_to_count = defaultdict(int)
		count_to_distinct_num = defaultdict(int)
		result = 0
		for (i, n) in enumerate(nums):
			prev_count = num_to_count[n]
			new_count = prev_count + 1
			num_to_count[n] = new_count
			if prev_count > 0:
				count_to_distinct_num[prev_count] -= 1
				if count_to_distinct_num[prev_count] == 0:
					del count_to_distinct_num[prev_count]
			count_to_distinct_num[new_count] += 1
			if valid_prefix(count_to_distinct_num, new_count):
				result = i + 1
		return result

def valid_prefix(count_to_distinct_num, hint):
	assert len(count_to_distinct_num) > 0
	assert 0 not in count_to_distinct_num
	assert hint in count_to_distinct_num
	if 1 in count_to_distinct_num:
		if len(count_to_distinct_num) == 1:
			return True
		if len(count_to_distinct_num) == 2 and count_to_distinct_num[1] == 1:
			return True
	if len(count_to_distinct_num) == 1:
		if count_to_distinct_num[hint] == 1:
			return True
	if len(count_to_distinct_num) != 2:
		return False
	if hint - 1 in count_to_distinct_num:
		return count_to_distinct_num[hint] == 1
	if hint + 1 in count_to_distinct_num:
		return count_to_distinct_num[hint + 1] == 1
	return False


from collections import Counter

class Solution:

	def maxEqualFreq(self, nums: List[int]) -> int:
		res = 1
		count = defaultdict(int)
		inverseCount = defaultdict(set)
		for i in range(len(nums)):
			if count[nums[i]] in inverseCount:
				inverseCount[count[nums[i]]].remove(nums[i])
				if len(inverseCount[count[nums[i]]]) == 0:
					inverseCount.pop(count[nums[i]])
			count[nums[i]] += 1
			inverseCount[count[nums[i]]].add(nums[i])
			if self.canBeEqualFreq(inverseCount):
				res = i + 1
		return res

	def canBeEqualFreq(self, ic):
		(ickeys, icvalues) = (list(ic.keys()), list(ic.values()))
		if len(ic) == 1:
			return len(icvalues[0]) == 1 or 1 in list(ic.keys())
		if len(ic) > 2:
			return False
		if 1 in ickeys and len(ic[1]) == 1:
			return True
		if ickeys[0] - ickeys[1] == 1 and len(ic[ickeys[0]]) == 1 or (ickeys[1] - ickeys[0] == 1 and len(ic[ickeys[1]]) == 1):
			return True
		return False


class Solution:

	def maxEqualFreq(self, nums: List[int]) -> int:
		freq = collections.Counter()
		counts = collections.Counter()
		res = 0
		for (i, val) in enumerate(nums):
			save = freq[val]
			if save:
				counts[save] -= 1
				if not counts[save]:
					del counts[save]
			freq[val] += 1
			counts[freq[val]] += 1
			if len(counts) == 1 and (counts[1] > 0 or len(freq) == 1):
				res = i + 1
			if len(counts) == 2:
				(a, b) = list(counts.keys())
				if abs(a - b) == 1 and counts[max(a, b)] == 1:
					res = i + 1
				if counts[1] == 1:
					res = i + 1
		return res


class Solution:

	def maxEqualFreq(self, nums) -> int:
		n = len(nums)
		a = Counter(nums)
		for i in range(n - 1, 0, -1):
			if len(a) == 1:
				p = [i for i in list(a.keys())][0]
				return a[p]
			b = Counter(list(a.values()))
			if len(b) > 2:
				a[nums[i]] -= 1
				if not a[nums[i]]:
					a.pop(nums[i])
				continue
			elif len(b) == 1:
				if 1 in list(a.values()):
					return i + 1
				return i
			elif len(b) == 2:
				if 1 in list(b.keys()) and b[1] == 1:
					return i + 1
				if 1 in list(b.values()):
					(mia, aa) = [la for la in list(b.keys())]
					(mia, aa) = (min(mia, aa), max(mia, aa))
					if b[aa] == 1 and aa - mia == 1:
						return i + 1
					a[nums[i]] -= 1
					if not a[nums[i]]:
						a.pop(nums[i])
				else:
					a[nums[i]] -= 1
					if not a[nums[i]]:
						a.pop(nums[i])
					continue


class LinkedList:

	def __init__(self):
		self.map = {}
		self.min = -1
		self.max = -1

	def add_to_key(self, key):
		if key in self.map:
			self.map[key][0] += 1
			new_key = self.map[key][1]
			while new_key >= 1 and self.map[key][0] > self.map[new_key][0]:
				(self.map[key][1], self.map[new_key][1]) = (self.map[new_key][1], key)
				(self.map[new_key][2], self.map[key][2]) = (self.map[key][2], new_key)
				if self.map[new_key][2] > 0:
					self.map[self.map[new_key][2]][1] = new_key
				if self.min == key:
					self.min = new_key
				new_key = self.map[key][1]
			if new_key >= 1:
				self.map[new_key][2] = key
		else:
			self.map[key] = [1, self.min, -1]
			if self.min > 0:
				self.map[self.min][2] = key
			self.min = key
		if self.max <= 0 or self.map[self.max][0] < self.map[key][0]:
			self.max = key

	def check(self):
		A = self.biggest()
		B = self.smallest()
		if A == 1:
			return True
		elif B == 1:
			C = self.unique_min()
			if not C:
				if A == 2 and self.unique_max():
					return True
				else:
					return False
			else:
				next_min = self.map[self.min][1]
				if self.map[next_min][0] == A:
					return True
				else:
					return False
		else:
			D = self.unique_max()
			if D:
				return A == B + 1 or A == B
			else:
				return False

	def smallest(self):
		if self.min == -1:
			return 0
		else:
			return self.map[self.min][0]

	def biggest(self):
		if self.max == -1:
			return 0
		else:
			return self.map[self.max][0]

	def unique_min(self):
		if self.min <= 0:
			return True
		else:
			next_min = self.map[self.min][1]
			return next_min >= 1 and self.map[self.min][0] != self.map[next_min][0]

	def unique_max(self):
		if self.max <= 0:
			return True
		else:
			next_max = self.map[self.max][2]
			if next_max > 0:
				return self.map[self.max][0] != self.map[next_max][0]
			else:
				return True

class Solution:

	def maxEqualFreq(self, nums: List[int]) -> int:
		out = LinkedList()
		result = 2
		for (length, num) in enumerate(nums):
			out.add_to_key(num)
			if out.check():
				result = length + 1
		return result


class Solution:

	def maxEqualFreq(self, nums: List[int]) -> int:
		counterCounter = defaultdict(int)
		numCounter = defaultdict(int)
		ans = 0
		maxRepeat = 0
		for (i, num) in enumerate(nums):
			numCounter[num] += 1
			counterCounter[numCounter[num]] += 1
			maxRepeat = max(numCounter[num], maxRepeat)
			if numCounter[num] > 1:
				counterCounter[numCounter[num] - 1] -= 1
			if counterCounter[maxRepeat] == 1 and (maxRepeat - 1) * (counterCounter[maxRepeat - 1] + 1) == i or (counterCounter[1] == 1 and maxRepeat * counterCounter[maxRepeat] == i):
				ans = i + 1
			if maxRepeat == 1 or maxRepeat == i + 1:
				ans = i + 1
		return ans


class Solution:

	def maxEqualFreq(self, nums: List[int]) -> int:
		r = 0
		c = collections.Counter()
		countToNums = collections.Counter()
		high = 0
		unique = 0
		for i in range(len(nums)):
			if not c[nums[i]]:
				unique += 1
			countToNums[c[nums[i]]] -= 1
			c[nums[i]] += 1
			countToNums[c[nums[i]]] += 1
			if c[nums[i]] > high:
				high = c[nums[i]]
			if countToNums[high] == 1 and countToNums[high - 1] == unique - 1 or (countToNums[1] == 1 and countToNums[high] == unique - 1) or high == 1:
				r = i + 1
		return r


from collections import Counter

class Solution:

	def maxEqualFreq(self, nums: List[int]) -> int:
		cnt = Counter(nums)
		n = len(nums)
		res = n
		if n <= 2:
			return n
		c = set(cnt.values())
		min_c = min(cnt.values())
		max_c = max(cnt.values())
		if len(c) == 2 and (sum([1 for k in cnt if cnt[k] == max_c]) == 1 and max_c == min_c + 1 or (sum([1 for k in cnt if cnt[k] == min_c]) == 1 and min_c == 1)) or (len(c) == 1 and min_c == 1) or len(cnt) == 1:
			return res
		for i in reversed(nums[2:]):
			res -= 1
			cnt[i] -= 1
			if cnt[i] == 0:
				del cnt[i]
			if not cnt:
				return res
			c = set(cnt.values())
			min_c = min(cnt.values())
			max_c = max(cnt.values())
			if len(c) == 2 and (sum([1 for k in cnt if cnt[k] == max_c]) == 1 and max_c == min_c + 1 or (sum([1 for k in cnt if cnt[k] == min_c]) == 1 and min_c == 1)) or (len(c) == 1 and min_c == 1) or len(cnt) == 1:
				return res
		return 2