Is killing an innocent person strictly wrong? ~ Victor, 2019
Victor has become obsessed with the Trolley Problem! Victor found the original trolley problem too boring, so he has devised his own version. In Victor's trolley problem, there is initially an array of trolleys, days, and the th trolley contains people. On the th day, Victor lines up all the remaining trolleys, and picks a number . He will then partition his array into two subarrays, and (where is the total number of trolleys on day ). If , then Victor will snap all the trolleys in out of existence and set equal to . Otherwise, he will snap all the trolleys in out of existence and set equal to .
Calculate the number of people Victor snaps on each day!
- for all .
- The order of the trolleys will always remain the same.
- for all .
The first line will contain two space-separated integers and , denoting the initial number of trolleys and the number of days respectively.
The next line will contain space-separated integers , denoting the number of people in each trolley.
The next lines will each contain a single integer .
For each day, output the number of people that Victor will snap out of existence on a new line.
8 3 6 1 3 2 9 10 2 4 4 1 1
25 6 5
Explanation of Sample Output
On the first day, and . Then, and . Since , Victor will snap trolleys to out of existence, leaving as our array of trolleys.
On the second day, and . Then, and . Since , Victor will snap the first trolley and leave as our array.
On the third and last day, and . Then, and . Since , Victor will snap the last two trolleys and leave as our array.