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: Runtime Error)

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

 
 public class Main	{
   static class Pair implements Comparable<Pair>{
   int a;
   int b;
   public Pair(int x,int y){a=x;b=y;}
   public Pair(){}
   public int compareTo(Pair p){
     return a  - p.a ;
   }
 }
static class TrieNode{
  TrieNode[]child;
  int w;
  boolean term;
  TrieNode(){
    child = new TrieNode[26];  
  }
}
  public static int gcd(int a,int b)
  {
    if(a<b)

      return gcd(b,a);
    if(b==0)
      return a;
    return gcd(b,a%b);
    
  }
  //static long ans = 0;
  static int mod =(int)(1e9+7); //998244353;//
   
    public static void main(String[] args) throws Exception {
       new Thread(null, null, "Anshum Gupta", 999999999) {
            public void run() {
                try {
                    solve();
                } catch(Exception e) {
                    e.printStackTrace();
                    System.exit(1);
                }
            }
        }.start();
    }

static long pow(long x,long y){
    if(y == 0)return 1;
    if(y==1)return x;
    long a = pow(x,y/2);
    a = (a*a)%mod;
    if(y%2==0){
        return a;
    }
    return (a*x)%mod;
}

static long mxx;
static int mxN = (int)(1e5+5);
static long[]fact,inv_fact;
static long my_inv(long a) {
	return pow(a,mod-2);
}
static long bin(int a,int b) {
    return ((1L*fact[a]*inv_fact[a-b])%mod * inv_fact[b])%mod;
}

static ArrayList<ArrayList<Integer>>adj ;
static boolean[]vis;
static void dfs(int sv,int d,int[]dis) {
	vis[sv] = true;
	dis[sv] = d;
	for(int i=0;i<adj.get(sv).size();++i) {
		int x = adj.get(sv).get(i);
		if(!vis[x]) {
			dfs(x,d+1,dis);
		}
	}
	
}
static int n,m,x;
static int[]c;
static int[][]a;
static boolean done(int[]arr) {
	for(int j=0;j<m;j++) {
		if(arr[j] < x)return false;
	}
	return true;
}
static int rec(int i,int[] arr) {
	if(i==n) {
		for(int j=0;j<m;j++) {
			if(arr[j] < x) {
				return (int)(1e9);
			}
		}
		return 0;
	}
	else {
		  if(done(arr)) {
			  return 0;
		  }
		  int o1 = rec(i+1,arr);
		  for(int j=0;j<m;j++) {
			  arr[j] += a[i][j];
		  }
		  int o2 = rec(i+1,arr)+c[i];
		  for(int j=0;j<m;j++) {
			  arr[j] -= a[i][j];
		  }
		  return Math.min(o1, o2);
		  
	}
}
 public static void solve() throws Exception {
   // solve the problem here
   MyScanner s = new MyScanner();
        out = new PrintWriter(new BufferedOutputStream(System.out), true);
        int tc = 1;//s.nextInt();
        mxx = (long)(1e18+5);
 
        while(tc-->0){
        	n = s.nextInt();
        	m = s.nextInt();
        	x = s.nextInt();
        	c=new int[n];
        	a=new int[n][m];
        	for(int i=0;i<n;i++) {
        		c[i] = s.nextInt();
        		for(int j=0;j<m;j++) {
        			a[i][j] = s.nextInt();
        		}
        	}
        	int ans = rec(0,new int[n]);
        	if(ans ==  (int)1e9) {
        		out.println("-1");
        	}else out.println(ans);
        }
        
           
        out.flush();
}
 
     
 
 
 
    //-----------PrintWriter for faster output---------------------------------
    public static PrintWriter out;
 
    //-----------MyScanner class for faster input----------
    public static class MyScanner {
        BufferedReader br;
        StringTokenizer st;
 
        public MyScanner() {
            br = new BufferedReader(new InputStreamReader(System.in));
        }
 
        String next() {
            while (st == null || !st.hasMoreElements()) {
                try {
                    st = new StringTokenizer(br.readLine());
                } catch (IOException e) {
                    e.printStackTrace();
                }
            }
            return st.nextToken();
        }
 
        int nextInt() { return Integer.parseInt(next()); }
        long nextLong() { return Long.parseLong(next()); }
        double nextDouble() { return Double.parseDouble(next()); }
         
        String nextLine(){
            String str = "";
            try {
                str = br.readLine();
            } catch (IOException e) {
                e.printStackTrace();
            }
            return str;
        }
    }
    //--------------------------------------------------------
}