A1328 | [COCI-2015_2016-contest7]#5 PROSTI

Mirko and his older brother Slavko are playing a game. At the beginning of the game, they pick three numbers K, L, M. In the first and only step of the game, each of them picks their own K consecutive integers.
Slavko always picks the first K integers (numbers 1, 2, ..., K). Mirko has a special demand – he wants to choose his numbers in a way that there are exactly L happy numbers among them. He considers a number happy if it meets at least one of the following requirements:
• the number is smaller than or equal to M
• the number is prime Out of respect to his older brother, L will be smaller than or equal to the total number of happy numbers in Slavko’s array of numbers.
They will play a total of Q games with different values K, L, M. For each game, help Mirko find an array that meets his demand.

The first line of input contains Q (1 6 Q 6 100 000). Each of the following Q lines contains three integers, the i th line containing integers Ki , Li , Mi (1 6 Ki , Mi 6 150, 0 6 Li 6 Ki) that determine the values K, L, M that will be used in the i th game.

Output Q lines, the i th line containing an integer, the initial number of Mirko’s array in the i th game.
If an array with the initial number being smaller than or equal to 10 000 000 does not exist, output −
1. If there are multiple possible solutions, output any.