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 = 3Output: 3Explanation: 10/3 = 3.33333.. which is truncated to 3.Example 2:Input: dividend = 7, divisor = -3Output: -2Explanation: 7/-3 = -2.33333.. which is truncated to -2. Constraints:-231 <= dividend, divisor <= 231 - 1divisor != 0
Question
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 = 3Output: 3Explanation: 10/3 = 3.33333.. which is truncated to 3.Example 2:Input: dividend = 7, divisor = -3Output: -2Explanation: 7/-3 = -2.33333.. which is truncated to -2. Constraints:-231 <= dividend, divisor <= 231 - 1divisor != 0
Solution 1
Here is a step-by-step solution to the problem:
- First, we need to handle some special cases. If the dividend is 0, the result is 0. If the dividend is less than the divisor, the result is also 0. If the dividend equals the divisor, the result is 1. If the dividend is INT_MIN (the smallest integer) and the divisor
Solution 2
Sure, here is a Python solution for the problem:
def divide(dividend: int, divisor: int) -> int:
# Handle overflow
if dividend == -2147483648 and divisor == -1:
return 2147483647
# Determine if the result is negative
negative = (dividend < 0) != (divisor < 0)
dividend, divisor = abs(dividend), abs(divisor)
# Count the number of times the divisor can be subtracted from the dividend
quotient = 0
while dividend >= divisor:
temp, i = divisor, 1
while dividend >= temp:
dividend -= temp
quotient += i
i <<= 1
temp <<= 1
return -quotient if negative else quotient
This function works by repeatedly subtracting the divisor from the dividend and counting the number of times it can do so. It uses bit shifting to double the divisor and the count each time, which speeds up the process for large dividends. The function also handles the special case where the result would overflow the 32-bit integer range.
Similar Questions
Divide two integers A and B, without using multiplication, division, and mod operator.Return the floor of the result of the division.Also, consider if there can be overflow cases. For overflow cases, return INT_MAX.Note: INT_MAX = 2^31 - 1Problem ConstraintsINT_MIN <= A, B <= INT_MAXB != 0Input FormatThe first argument is an integer A.The second argument is an integer B.Output FormatReturn an integer equal to A / B.Example InputA = 5B = 2
When you divide a negative integer by a positive integer, the quotient is always negative.
Dividing Mixed Numbers
Divide the given two numbers and print the quotient without using / operator.Input Format:Accept two integers as inputOutput Format:Print the quotient of input1 and input2 as output
Problem Statement:Accept two integers and print quotient with 16 decimal places and print the remainder in next line.Input Format:Accept two integers as inputOutput Format:Print Quotient and Remainder as follows:The quotient when NUM1 is divided by NUM2 is QUOTIENT_VALThe remainder when NUM1 is divided by NUM2 is REM_VALConstraints:1<=N1,N2<=10^15Sample Input 1:54 65Sample Output 1:The quotient when 54 is divided by 65 is 0.8307692307692308The remainder when 54 is divided by 65 is 54Sample Input 2:23 78Sample Output 2:The quotient when 23 is divided by 78 is 0.2948717948717949The remainder when 23 is divided by 78 is 23
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