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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
int divide(int A, int B) {
if (A == INT_MIN && B == -1) return INT_MAX;
int a = abs(A), b = abs(B), res = 0, x = 0;
while (a - b >= 0) {
for (x = 0; a - (b << x << 1) >= 0; x++);
res += 1 << x;
a -= b << x;
}
return (A > 0) == (B > 0) ? res : -res;
}
public int divide(int A, int B) {
if (A == 1 << 31 && B == -1) return (1 << 31) - 1;
int a = Math.abs(A), b = Math.abs(B), res = 0, x = 0;
while (a - b >= 0) {
for (x = 0; a - (b << x << 1) >= 0; x++);
res += 1 << x;
a -= b << x;
}
return (A > 0) == (B > 0) ? res : -res;
}
def divide(self, A, B):
if (A == -2147483648 and B == -1): return 2147483647
a, b, res = abs(A), abs(B), 0
for x in range(32)[::-1]:
if (a >> x) - b >= 0:
res += 1 << x
a -= b << x
return res if (A > 0) == (B > 0) else -res
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