Package for this problem was not updated by the problem writer or Codeforces administration after we’ve upgraded the judging servers. To adjust the time limit constraint, solution execution time will be multiplied by 2. For example, if your solution works for 400 ms on judging servers, then value 800 ms will be displayed and used to determine the verdict.

Virtual contest is a way to take part in past contest, as close as possible to participation on time. It is supported only ACM-ICPC mode for virtual contests.
If you've seen these problems, a virtual contest is not for you - solve these problems in the archive.
If you just want to solve some problem from a contest, a virtual contest is not for you - solve this problem in the archive.
Never use someone else's code, read the tutorials or communicate with other person during a virtual contest.

No tag edit access

D. Ilya and Roads

time limit per test

3 secondsmemory limit per test

256 megabytesinput

standard inputoutput

standard outputEverything 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.

Input

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}).

Output

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.

Examples

Input

10 4 6

7 9 11

6 9 13

7 7 7

3 5 6

Output

17

Input

10 7 1

3 4 15

8 9 8

5 6 8

9 10 6

1 4 2

1 4 10

8 10 13

Output

2

Input

10 1 9

5 10 14

Output

-1

Codeforces (c) Copyright 2010-2019 Mike Mirzayanov

The only programming contests Web 2.0 platform

Server time: Jul/18/2019 21:42:03 (g1).

Desktop version, switch to mobile version.

Supported by

User lists

Name |
---|