Once Gazu went to a power house on a school field trip. There he saw a room where n number of light bulbs were placed horizontally, he found the switch board labelled for all bulbs (1,....,n) and switched on all the bulbs. Then he toggled (on to off or off to on) every ith bulb where i goes from 2 to n. Now he realizes his class teacher is coming to look for him, he wants to turn off all the bulbs immediately but the switches looks exactly the same irrespective of their state (on or off). You have to help him by telling him the index of the bulbs which are switched on.
INPUT First line contains number of testcases 0<t<1001, next t lines contains total number of light bulbs that were present in the room 1<n<10^6+1
OUTPUT For each test case print a new line containing the indices of all the light bulbs that were in ON state followed by single whitespace.
For second test case when n=5, the transition of bulbs will be like
1 2 3 4 5 (bulb indices) OFF OFF OFF OFF OFF (initially) ON ON ON ON ON (all the bulbs are ON) ON OFF ON OFF ON (i=2) [he toggled every bulb multiple of 2] ON OFF OFF OFF ON (i=3) [he toggled every bulb multiple of 3] ON OFF OFF ON ON (i=4) [he toggled every bulb multiple of 4] ON OFF OFF ON OFF (i=5=n) [he toggled every bulb multiple of 5, which is equal to ‘n’ so he stopped]
So in the end bulb1 and bulb4 were in ON state only