Physical Address
304 North Cardinal St.
Dorchester Center, MA 02124
re 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
int bulbSwitch(int n) {
int counts = 0;
for (int i=1; i*i<=n; ++i) {
++ counts;
}
return counts;
}
def bulbSwitch(self, n: int) -> int:
return int(n**(1/2))
public class Solution {
public int bulbSwitch(int n) {
return (int)Math.sqrt(n);
}
}
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