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Formatted question description: https://leetcode.ca/all/2117.html
2117. Abbreviating the Product of a Range
 Difficulty: Hard.
 Related Topics: Math.
 Similar Questions: Factorial Trailing Zeroes, Maximum Trailing Zeros in a Cornered Path.
Problem
You are given two positive integers left
and right
with left <= right
. Calculate the product of all integers in the inclusive range [left, right]
.
Since the product may be very large, you will abbreviate it following these steps:
Count all **trailing** zeros in the product and **remove** them. Let us denote this count as ```C```.

For example, there are
3
trailing zeros in1000
, and there are0
trailing zeros in546
.Denote the remaining number of digits in the product as
d
. Ifd > 10
, then express the product as<pre>...<suf>
where<pre>
denotes the first5
digits of the product, and<suf>
denotes the last5
digits of the product after removing all trailing zeros. Ifd <= 10
, we keep it unchanged. 
For example, we express
1234567654321
as12345...54321
, but1234567
is represented as1234567
.Finally, represent the product as a string
"<pre>...<suf>eC"
. 
For example,
12345678987600000
will be represented as"12345...89876e5"
.
Return a string denoting the **abbreviated product of all integers in the inclusive range** [left, right]
.
Example 1:
Input: left = 1, right = 4
Output: "24e0"
Explanation: The product is 1 × 2 × 3 × 4 = 24.
There are no trailing zeros, so 24 remains the same. The abbreviation will end with "e0".
Since the number of digits is 2, which is less than 10, we do not have to abbreviate it further.
Thus, the final representation is "24e0".
Example 2:
Input: left = 2, right = 11
Output: "399168e2"
Explanation: The product is 39916800.
There are 2 trailing zeros, which we remove to get 399168. The abbreviation will end with "e2".
The number of digits after removing the trailing zeros is 6, so we do not abbreviate it further.
Hence, the abbreviated product is "399168e2".
Example 3:
Input: left = 371, right = 375
Output: "7219856259e3"
Explanation: The product is 7219856259000.
Constraints:
1 <= left <= right <= 104
Solution

class Solution { public String abbreviateProduct(int left, int right) { long threshold0 = 100_000_000_000_000L; long threshold1 = 10_000_000_000L; long threshold2 = 100_000; long curr = 1; int i; int zerosCount = 0; for (i = left; i <= right && curr < threshold0; i++) { curr *= i; while (curr % 10 == 0) { curr /= 10; zerosCount++; } } if (curr < threshold1) { return String.format("%de%d", curr, zerosCount); } long low = curr % threshold1; double high = curr; while (high > threshold1) { high /= 10; } for (; i <= right; i++) { low *= i; high *= i; while (low % 10 == 0) { low /= 10; zerosCount++; } if (low >= threshold1) { low %= threshold1; } while (high > threshold1) { high /= 10; } } while (high >= threshold2) { high /= 10; } low %= threshold2; return String.format("%d...%05de%d", (int) high, low, zerosCount); } }

# 2117. Abbreviating the Product of a Range # https://leetcode.com/problems/abbreviatingtheproductofarange class Solution: def abbreviateProduct(self, left: int, right: int) > str: prefixM, suffixM = 10 ** 12, 10 ** 10 prefix = suffix = 1 needSplit = False trailing = 0 for x in range(left, right + 1): prefix *= x while prefix > prefixM: prefix //= 10 suffix *= x while suffix % 10 == 0: suffix //= 10 trailing += 1 if suffix >= suffixM: suffix %= suffixM needSplit = True if not needSplit: return f"{suffix}e{trailing}" return f"{str(prefix)[:5]}...{str(suffix)[5:]}e{trailing}"
Explain:
nope.
Complexity:
 Time complexity : O(n).
 Space complexity : O(n).