Algorithm
Problem Name: 319. Bulb Switcher
There are n
bulbs that are initially off. You first turn on all the bulbs, then you turn off every second bulb.
On the third round, you toggle every third bulb (turning on if it's off or turning off if it's on). For the ith
round, you toggle every i
bulb. For the nth
round, you only toggle the last bulb.
Return the number of bulbs that are on after n
rounds.
Example 1:
Input: n = 3 Output: 1 Explanation: At first, the three bulbs are [off, off, off]. After the first round, the three bulbs are [on, on, on]. After the second round, the three bulbs are [on, off, on]. After the third round, the three bulbs are [on, off, off]. So you should return 1 because there is only one bulb is on.
Example 2:
Input: n = 0 Output: 0
Example 3:
Input: n = 1 Output: 1
Constraints:
0 <= n <= 109
Code Examples
#1 Code Example with Java Programming
Code -
Java Programming
class Solution {
public int bulbSwitch(int n) {
return (int) Math.sqrt(n);
}
}
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#2 Code Example with Javascript Programming
Code -
Javascript Programming
const bulbSwitch = function(n) {
return Math.floor(Math.sqrt(n));
};
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#3 Code Example with Python Programming
Code -
Python Programming
class Solution:
def bulbSwitch(self, n):
return int(n ** 0.5)
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