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Link for the Problem – Divide Two Integers– LeetCode Problem
Divide Two Integers– LeetCode Problem
Problem:
Given two integers dividend
and divisor
, divide two integers without using multiplication, division, and mod operator.
The integer division should truncate toward zero, which means losing its fractional part. For example, 8.345
would be truncated to 8
, and -2.7335
would be truncated to -2
.
Return the quotient after dividing dividend
by divisor
.
Note: Assume we are dealing with an environment that could only store integers within the 32-bit signed integer range: [−231, 231 − 1]
. For this problem, if the quotient is strictly greater than 231 - 1
, then return 231 - 1
, and if the quotient is strictly less than -231
, then return -231
.
Example 1:
Input: dividend = 10, divisor = 3 Output: 3 Explanation: 10/3 = 3.33333.. which is truncated to 3.
Example 2:
Input: dividend = 7, divisor = -3 Output: -2 Explanation: 7/-3 = -2.33333.. which is truncated to -2.
Constraints:
-231 <= dividend, divisor <= 231 - 1
divisor != 0
Divide Two Integers
– LeetCode Solutions
class Solution { public: int divide(int dividend, int divisor) { // -2^{31} / -1 = 2^31 -> overflow so return 2^31 - 1 if (dividend == INT_MIN && divisor == -1) return INT_MAX; const int sign = dividend > 0 ^ divisor > 0 ? -1 : 1; long ans = 0; long dvd = labs(dividend); long dvs = labs(divisor); while (dvd >= dvs) { long k = 1; while (k * 2 * dvs <= dvd) k *= 2; dvd -= k * dvs; ans += k; } return sign * ans; } };
class Solution { public int divide(long dividend, long divisor) { // -2^{31} / -1 = 2^31 -> overflow so return 2^31 - 1 if (dividend == Integer.MIN_VALUE && divisor == -1) return Integer.MAX_VALUE; final int sign = dividend > 0 ^ divisor > 0 ? -1 : 1; long ans = 0; long dvd = Math.abs(dividend); long dvs = Math.abs(divisor); while (dvd >= dvs) { long k = 1; while (k * 2 * dvs <= dvd) k *= 2; dvd -= k * dvs; ans += k; } return sign * (int) ans; } }
class Solution: def divide(self, dividend: int, divisor: int) -> int: if dividend == -2**31 and divisor == -1: return 2**31 - 1 sign = -1 if (dividend > 0) ^ (divisor > 0) else 1 ans = 0 dvd = abs(dividend) dvs = abs(divisor) while dvd >= dvs: k = 1 while k * 2 * dvs <= dvd: k <<= 1 dvd -= k * dvs ans += k return sign * ans
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