https://codeforces.net/contest/1353/problem/E

On input 6 9 2 010001010 9 3 111100000 7 4 1111111 10 3 1001110101 1 1 1 1 1 0

Output is 1 2 5 4 0 0

In the second testcase, how is the output 2?

if we swithc all off all lamps, 4 moves if we switch on lamps on index 0 3 6 , moves 3 (switch off {1,2} switch on{6})

if we switch on lamps on index 1 4 7 , moves 4 (switch off {0,2,3} switch on{7})

if we switch on lamps on index 2 5 8 , moves 4 (switch off {0,1,3} switch on{8})

So , how is the minimum required moves 2?