Bowling Strategy SOLUTIONS BOWLERS

Bowling Strategy SOLUTIONS BOWLERS

Consider a cricket match-up with a progression of $N$ overs (numbered $1$ through $N$) played by $K$ players (numbered $1$ through $K$). Every player might be the bowler for at most $L$ overs altogether, yet a similar player may not be the bowler for any two successive overs. Appoint precisely one bowler to each over so that these principles are fulfilled or establish that no such task exists. 
 
Information 
 
The primary line of the information contains a solitary whole number $T$ signifying the quantity of experiments. The depiction of $T$ experiments follows. 
 
The sole line of each experiment contains three space-isolated whole numbers $N$, $K$ and $L$. 
 
Yield 
 
For each experiment: 
 
In the event that there is no legitimate task of bowlers to overs, print a solitary line containing the number $-1$. 
 
Something else, print a solitary line containing $N$ space-isolated whole numbers. For each substantial $i$, the $i$-th of these whole numbers ought to be the quantity of the player alloted as the bowler for the $i$-th over. 
 
Imperatives 
 
$1 le T le 30$ 
 
$1 le N, K, L le 10,000$ 
 
Model Input 
 
 
4 3 2 
 
5 4 1 
 
Model Output 
 
1 2 3 2 
 
– 1 
 
Clarification 
 
Model case 1: coming up next is a substantial task: 
 
Bowler 1 dishes the $1$-st over. 
 
Bowler 2 dishes the $2$-nd and $4$-th overs. 
 
Bowler 3 dishes the $3$-rd over. 
 
It is legitimate since no bowler bowls more than $2$ overs and every two continuous overs have various bowlers. 
 
Model case 2: There is no legitimate task wherein each of $4$ players astounds all things considered $1$ out of $5$.

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