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0029. Divide Two Integers.js
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0029. Divide Two Integers.js
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// Given two integers dividend and divisor, divide two integers without using multiplication, division and mod operator.
// Return the quotient after dividing dividend by divisor.
// The integer division should truncate toward zero.
//
// Example 1:
//
// Input: dividend = 10, divisor = 3
// Output: 3
//
// Example 2:
//
// Input: dividend = 7, divisor = -3
// Output: -2
//
// Note:
//
// Both dividend and divisor will be 32-bit signed integers.
// The divisor will never be 0.
// Assume we are dealing with an environment which could only store integers within the 32-bit signed integer range: [−2^31, 2^31 − 1]. For the purpose of this problem, assume that your function returns 2^31 − 1 when the division res overflows.
/**
* @param {number} dividend
* @param {number} divisor
* @return {number}
*/
/** 1) Cheating */
const divide1 = (dividend, divisor) => {
if (dividend === -(2 ** 31) && divisor === -1) return 2 ** 31 - 1;
return ~~(dividend / divisor);
};
/** 2) */
// https://leetcode.com/problems/divide-two-integers/discuss/13407/Detailed-Explained-8ms-C++-solution
const divide = (dividend, divisor) => {
if (dividend === -(2 ** 31) && divisor === -1) return 2 ** 31 - 1;
const sign = Math.sign(dividend) * Math.sign(divisor);
divisor = Math.abs(divisor);
dividend = Math.abs(dividend);
let multiple = 1;
let res = 0;
let tmp;
while (dividend >= divisor) {
multiple = 1;
tmp = divisor;
while (tmp <= (dividend >> 1)) {
tmp = tmp << 1;
multiple = multiple << 1;
}
res += multiple;
dividend -= tmp;
}
return sign * res;
};