p02683 AtCoder Beginner Contest 167 - Skill Up
Constraints

* All values in input are integers.
* 1\leq N, M\leq 12
* 1\leq X\leq 10^5
* 1\leq C_i \leq 10^5
* 0\leq A_{i, j} \leq 10^5

Input

Input is given from Standard Input in the following format:


N M X
C_1 A_{1,1} A_{1,2} \cdots A_{1,M}
C_2 A_{2,1} A_{2,2} \cdots A_{2,M}
\vdots
C_N A_{N,1} A_{N,2} \cdots A_{N,M}


Output

If the objective is not achievable, print `-1`; otherwise, print the minimum amount of money needed to achieve it.

Examples

Input

3 3 10
60 2 2 4
70 8 7 9
50 2 3 9


Output

120


Input

3 3 10
100 3 1 4
100 1 5 9
100 2 6 5


Output

-1


Input

8 5 22
100 3 7 5 3 1
164 4 5 2 7 8
334 7 2 7 2 9
234 4 7 2 8 2
541 5 4 3 3 6
235 4 8 6 9 7
394 3 6 1 6 2
872 8 4 3 7 2


Output

1067
```python
from itertools import combinations
n, m, x = map(int, input().split())
ca = [list(map(int, input().split())) for _ in range(n)]

ans = 10**9
for i in range(1,n+1):
  for j in combinations(ca, i):
    s = [0]*(m+1)
    for k in j:
      for l in range(m+1):
        s[l] += k[l]
    if min(s[1:]) >= x:
      ans = min(ans, s[0])
if ans == 10**9:
  print(-1)
else:
  print(ans)
```