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Link for the Problem – Divide Two Integersโ LeetCode Problem
Divide Two Integersโ 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: [โ231, 231 โ 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
โ 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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๊ทธ๋์… ๋ฐ์ฟ ์ฌ๋๋ค์ ๋ง์นจ๋ด ์๋์ ํ์จ์ ์ฌ์์ต๋๋ค.
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์๋ฌด๋ ๋์ ์ฐ๊ณผ ํฉ์ ๋ฅผ ์ด์ฉํ์ฌ ์์ ์ ๊ธธ์ ๊ฐ์ง ์์ ๊ฒ์ด๋ผ๊ณ ๋ณด์ฅํ ์ ์์ต๋๋ค.
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๊ทธ๋ ์ฝ๊ฐ ๋ฏธ์๋ฅผ ์ง์๊ณ ์๊ฐํ์ง ์๊ณ ์ง์ ์ผ์ต๋๋ค.
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Zhu Houzhao์ Fang Jifan์ ์จ์ ์ฃฝ์ด๊ณ ๋์ ๋ฐฉ์์ ๋ฐ๋นด์ต๋๋ค.
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Zhu Xiurong์ ๊ฑฑ์ ์ค๋ฌ์ด ๋ ์๋ Fang Jifan์ด ๋ ๋ฌ์ต๋๋ค.
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์ด์ Fang Jifan์ ์๋ช ์ ๊ตฌํ๋ ์งํธ๋ผ๊ธฐ์ด๋ฉฐ ๊ทธ์ ์ ์ ๋ฏฟ๊ธฐ ์ด๋ ต์ต๋๋ค.
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Liu Kuan์ ๋ฌด์์์ ์ผ๋ก ๋งํ์ต๋๋ค. “๊ทธ๋ผ ์ก๋ ๊ฒ์ด ์ข์ต๋๋ค!”
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Chang Wei๋ ๋ฌธ์ ๋ฅผ ์ผ์ผํค๊ณ ์ถ์ง ์์๊ณ ๋ฌธ์ ๋ ์ฃผ์ธ์๊ฒ ๋ฌธ์ ๊ฐ ๋ ๊ฒ์ ๋๋ค.
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๊ณ ํต์ด ๋๋ ํ์๋ White Lotus Sect์ ๋์ ์ด ๋ง์ฐํ๊ณ ์ฌ์ ํ ๋์ง์ผ๋ก ์ํดํ๊ณ ์ถ์ต๋๊น?
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Zhou Yi๋ ์ ์ ์นจ๋ฌตํ๊ณ ์๋๋ฌ ๋์ ์๋ค๊ณ ๋งํ ์ ์์ด์ ๊ณ ๊ฐ๋ฅผ ๋๋์์ต๋๋ค.
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๊ทธ๊ฐ ๋งํ๋ฉด์ ๊ทธ๋ Liu Jian์ ๋ฐ๋ผ๋ณด๋ฉฐ “์ ์ ๋ถ์ Shangshu, Wang Shouren์ ์ด๋์ ์์ต๋๊น?”
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๋ถ๋ช ํ ์ Liu An๋ง์ด ์์ฒ ๋ช ์ ๊ฐ๋ํ ์ฌ๋๋ค์ ๋ํํฉ๋๋ค.
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์ด ์ธ Juren์ ๋ชจ๋ ๊ทธ์ ์ ์์ด๋ฉฐ ๊ทธ์ค ํ๋๋ Jie Yuan์ ๋๋ค!
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์ด ์๋์ ๋๋ค์์ ์ฌ๋๋ค์ด ์ฌ์ ํ ๋นํฉํ๊ณ ์์ต๋๋ค.
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ํ์ง๋ง ์ ๋ฌธ์ฉ ์๋๋ฝ๊ฐ์ธ ๊ทธ๋ ๊ทธ์ ํ ์ ๊ฐ๋ ์ํ์ ๋๋์ ์ฆ๊ธด๋ค.
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Fang Jifan์ “ํํ๊ฐ ๋งํ๋ ๊ฒ์ด ๋ฌด์์ธ์ง ๋ชจ๋ฅด๊ฒ ์ต๋๋ค …”๋ผ๊ณ ๋งํ์ต๋๋ค.
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์ด๋ฒ์ Fang Jifan์ Xie Qian์ ๋ฐ๋ผ ๋ณด๋ ๊ฒ์ ๋์ธ ์ ์์์ต๋๋ค.
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ํ์ง๋ง ๋ฐฉ๋ฒ์ด ์์ด์ Qi Guogong์๊ฒ ์ ๋ฌผ์ ์ฃผ๊ธฐ๋ก ๋์ํ์ต๋๋ค.
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Wang Bushi๋ ๋งค์ฐ ๋ถํธํ๊ณ ์ค๋ซ๋์ ์ฃผ์ ์์ “Deng Jian”์ด๋ผ๊ณ ๋ฎ์ ๋ชฉ์๋ฆฌ๋ก ๋งํ์ต๋๋ค.
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Xiao Jing์ ํ๋ณตํ๊ณ ๋์ ์ต๊ด์ … Fang Jifan์ … ๊ฝค ํฅ๋ฏธ ๋กญ์ต๋๋ค.