A9005. Ilya and Roads

Everything is great about Ilya's city, except the roads. The thing is, the only ZooVille road is represented as $n$ holes in a row. We will consider the holes numbered from 1 to $n$ , from left to right.

Ilya is really keep on helping his city. So, he wants to fix at least $k$ holes (perharps he can fix more) on a single ZooVille road.

The city has $m$ building companies, the $i$ -th company needs $c_{i}$ money units to fix a road segment containing holes with numbers of at least $l_{i}$ and at most $r_{i}$ . The companies in ZooVille are very greedy, so, if they fix a segment containing some already fixed holes, they do not decrease the price for fixing the segment.

Determine the minimum money Ilya will need to fix at least $k$ holes.

The first line contains three integers $n,m,k$ $(1<=n<=300,1<=m<=10^{5},1<=k<=n)$ . The next $m$ lines contain the companies' description. The $i$ -th line contains three integers $l_{i},r_{i},c_{i}$ $(1<=l_{i}<=r_{i}<=n,1<=c_{i}<=10^{9})$ .

Print a single integer — the minimum money Ilya needs to fix at least $k$ holes.

If it is impossible to fix at least $k$ holes, print -1.

Please, do not use the %lld specifier to read or write 64-bit integers in С++. It is preferred to use the cin, cout streams or the %I64d specifier.