Problem:
Score : 300 points

Problem

Takahashi, who is a novice in competitive programming, wants to learn M algorithms.
Initially, his understanding level of each of the M algorithms is 0.

Takahashi is visiting a bookstore, where he finds N books on algorithms.
The i-th book (1\leq i\leq N) is sold for C_i yen (the currency of Japan). If he buys and reads it, his understanding level of the j-th algorithm will increase by A_{i,j} for each j (1\leq j\leq M).
There is no other way to increase the understanding levels of the algorithms.

Takahashi's objective is to make his understanding levels of all the M algorithms X or higher. Determine whether this objective is achievable. If it is achievable, find the minimum amount of money needed to achieve it.

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.

Sample Input 1

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

Sample Output 1

120

Buying the second and third books makes his understanding levels of all the algorithms 10 or higher, at the minimum cost possible.

Sample Input 2

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

Sample Output 2

-1

Buying all the books is still not enough to make his understanding levels of all the algorithms 10 or higher.

Sample Input 3

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

Sample Output 3

1067

Solution in Java (OpenJDK 11.0.6) (judge verdict: Accepted)

import java.util.*;
import java.io.*;

 public class Main{
// taking inputs
static BufferedReader s1;
static BufferedWriter out;
static String read() throws IOException{String line="";while(line.length()==0){line=s1.readLine();continue;}return line;}
static int int_v (String s1){return Integer.parseInt(s1);}
static long long_v(String s1){return Long.parseLong(s1);}
static int[] int_arr() throws IOException{String[] a=read().split(" ");int[] b=new int[a.length];for(int i=0;i<a.length;i++){b[i]=int_v(a[i]);}return b;}
static long[] long_arr() throws IOException{String[] a=read().split(" ");long[] b=new long[a.length];for(int i=0;i<a.length;i++){b[i]=long_v(a[i]);}return b;}
static void assign(){s1=new BufferedReader(new InputStreamReader(System.in));out=new BufferedWriter(new OutputStreamWriter(System.out));}

//......................................@uthor_Alx..............................................
//Atlanta       83 71  8  0 1 6 1
//Atlanta       83 71  8  0 1 6 1
   public static void main(String[] args) throws  IOException{
	        		  assign();
	        		  int[] n1=int_arr();
	        		  int n=n1[0],m=n1[1],x=n1[2];//,k=n1[3];
	        		 // int[] arr=int_arr();

	        		 int res=100000000;
	        		 int[][] d=new int[n][m+1];
	        		 for(int i=0;i<n;i++){d[i]=int_arr();}
	        		 for(int i=0;i<1<<n;i++){
	        		 	int[] tmp=new int[m];
	        		 	int tc=0;
	        		 	for(int j=0;j<12;j++){
	        		 		if((i&1<<j)!=0){
	        		 			tc+=d[j][0];
	        		 			for(int k=0;k<m;k++){
	        		 				tmp[k]+=d[j][k+1];
	        		 			}
	        		 		}
	        		 	}
	        		 	boolean bb=true;
	        		 	for(int k=0;k<m;k++){
	        		 		if(tmp[k]<x){bb=false;break;}
	        		 	}
	        		 	if(bb){res=Math.min(res,tc);}
	        		 	else{continue;}
	        		 }
	        		 if(res==100000000){out.write("-1");}
	        		 else{out.write(res+"");}
	        		  
	        		  
	        	
                      out.flush();
	        		 
	}
}