Go: // n×nの成長度表に現れる数字を重複を許してm-1個選んで掛け合わせる時の最大値を求める
// ->掛け算型のDP

package main

import (
	"bufio"
	"os"
	"strings"
	"strconv"
	"log"
	"fmt"
)

var scanner = bufio.NewScanner(os.Stdin)

func main() {
	for scanner.Scan(){
		buf := strings.Split(scanner.Text(), " ")
		n, _ := strconv.Atoi(buf[0])
		m, _ := strconv.Atoi(buf[1])
		if n == 0 && m == 0 {
			break
		}
		growth_table := make([][]float64, n)
		for i := range growth_table {
			scanner.Scan()
			buf_ := strings.Split(scanner.Text(), " ")
			tmp := make([]float64, n)
			for j := range tmp {
				tmp[j], _ = strconv.ParseFloat(buf_[j], 64)
			}
			growth_table[i] = tmp
		}
		dp := make([][]float64, m)
		for i := range dp {
			dp[i] = make([]float64, n)
		}
		for i := range dp {
			dp[0][i] = 1
		}
		for k := 1; k < m; k++ {
			// k個使うとき...
			for i := 0; i < n; i++ {
				for j := 0; j < n; j++ {
					// 新たにgrowth_table[i][jを使うかどうか
					dp[k][j] = max(dp[k][j], dp[k-1][i]*growth_table[i][j])
					// check(dp)
				}
			}
		}
		ans := 0.0
		for i := 0; i < n; i++ {
			if dp[m-1][i] > ans {
				ans = dp[m-1][i]
			}
		}
		fmt.Printf("%.2f\n", ans)
	}
}

func max(a, b float64) float64 {
	if a < b {
		return b
	}
	return a
}

func check(dp [][]float64) {
	log.Println()
	for i := range dp {
		log.Println(dp[i])
	}
	log.Println()
}

C++: #include<iostream>
#include<vector>
#include<string>
#include<algorithm>	
#include<map>
#include<set>
#include<utility>
#include<cmath>
#include<cstring>
#include<queue>
#include<cstdio>
#include<sstream>
#include<iomanip>
#define loop(i,a,b) for(int i=a;i<b;i++) 
#define rep(i,a) loop(i,0,a)
#define pb push_back
#define mp make_pair
#define all(in) in.begin(),in.end()
#define shosu(x) fixed<<setprecision(x)
using namespace std;
//kaewasuretyuui
typedef long long ll;
typedef pair<int,int> pii;
typedef vector<int> vi;
typedef vector<vi> vvi;
typedef vector<pii> vp;
typedef vector<vp> vvp;
typedef pair<int,pii> pip;
typedef vector<pip>vip;
const double PI=acos(-1);
const double EPS=1e-8;
const int inf=1<<30;
int main(){
	int n,m;
	while(cin>>n>>m,n+m){
		double in[110][110]={0},dp[110][110]={0};
		rep(i,n)rep(j,n)cin>>in[i][j];
		rep(i,n)dp[0][i]=1;
		rep(i,m-1)rep(j,n)rep(k,n)
			dp[i+1][k]=max(dp[i+1][j],dp[i][j]*in[j][k]);
		double out=0;
		rep(i,n)out=max(out,dp[m-1][i]);
		cout<<shosu(2)<<out<<endl;
	}
}

C++: #include <iostream>
#include <cstdio>
#include <vector>
#include <algorithm>
#include <cstring>

using namespace std;

typedef unsigned long long ull;

#define pb push_back
#define loop(i,a,b) for(int i=(a);i<ull(b);++i)
#define rep(i,n) loop(i,0,n)

int main(){
    int n, m;
    while(cin >> n >> m, n+m){
        vector<vector<double> > v;
        rep(i, n){
            vector<double> d; double p;
            rep(j, n){cin >> p; d.pb(p);}
            v.pb(d);
        }

        double dp[110][110];
        memset(dp, 0, sizeof(dp));
        dp[0][0] = dp[0][1] = dp[0][2] = 1;
        for(int i=1; i <= m; i++){
            for(int j=0; j < n; j++){
                for(int k=0; k < n; k++){
                    dp[i][j] = max(dp[i][j], dp[i-1][k]*v[k][j]);
                }
            }
        }
        printf("%.9f\n",max(dp[m-1][0], max(dp[m-1][1], dp[m-1][2])));
    }
}

C++: #include<iostream>
#include<algorithm>
#include<ios>
using namespace std;
int n,m;
double dp[101][100];
double g[100][100];
main()
{
	while(cin>>n>>m,n)
	{
		for(int i=0;i<n;i++)
		{
			for(int j=0;j<n;j++)cin>>g[i][j];
			for(int j=0;j<=m;j++)dp[j][i]=1;
		}
		for(int i=0;i<m-1;i++)
		{
			for(int j=0;j<n;j++)
			{
				for(int k=0;k<n;k++)
				{
					dp[i+1][j]=max(dp[i+1][j],dp[i][k]*g[k][j]);
				}
			}
		}
		double ans=0;
		for(int i=0;i<n;i++)ans=max(ans,dp[m-1][i]);
		printf("%.02f\n",ans);
	}
}

C++: #include <iostream>
#include <vector>
#include <stack>
#include <queue>
#include <map>
#include <bitset>
#include <algorithm>
#include <cstdio>
#include <cstdlib>
#include <cmath>
#include <cstring>
using namespace std;
double key[100][100];
double table[100][100];

void Init(int n, int m){
	for(int i = 0; i < n; i++) for(int j = 0; j < m; j++) table[i][j] = 0;
}

double memo(int cur, int count, int limit, int kind){
	if(table[cur][count]) return table[cur][count];
	if(count==limit) return 1.0;
	double Max = 0;
	int prev = 0;
	for(int i = 0; i < kind; i++){
		double tmp = memo(i, count+1, limit, kind);
		if(Max <= tmp){
			//if(Max*key[prev][cur] < tmp*key[i][cur]){
				Max = tmp;
				prev = i;
			//}
		}
	}
	table[cur][count] = Max*key[prev][cur];
	return table[cur][count];
}

int main(){
	int n, m;
	while(cin >> n >> m && ((n!=0)||(m!=0))){
		Init(n, m);
		for(int i = 0; i < n; i++) for(int j = 0; j < n; j++) cin >> key[i][j];
		for(int i = 0; i < n; i++) table[i][0] = memo(i, 0, m, n);
		double max = 0;
		for(int i = 0; i < n; i++) if(max < table[i][0]) max = table[i][0];
		printf("%0.2f\n", max);
	}

	return 0;
}

C++: #include <iostream>
#include <algorithm>

using namespace std;

int main()
{
	int n, m;
	long double r, a[101][101], dp[101][101];
	
	while(cin>>n>>m && (m+n)){
		for(int i = 0; i < n; i++){
			for(int j = 0; j < n; j++){
				cin >> a[i][j];
			}
		}
		fill(&dp[0][0], &dp[100][100], 0);
		
		for(int i = 0; i < n; i++){
			dp[i][0] = 1.0;
		}
		
		for(int k = 1; k < m; k++){
			for(int i = 0; i < n; i++){
				for(int j = 0; j < n; j++){
					dp[i][k] = max(dp[i][k], dp[i][k-1]*a[j][i]);
				}
			}
		}
		
		r = 0.0;
		for(int j = 0; j < n; j++){
			r = max(r, dp[j][m-1]);
		}
		
		printf("%.2f\n", r);
	}
	
	return 0;
}

C++: #include <iostream>
#include <vector>
#include <algorithm>
#include <string>
#include <climits>
#include <stdio.h>

using namespace std;

typedef vector < double > VI;
typedef vector < VI > VVI;

int main () {
	int n, m;

	while ( true ) {
		cin >> n >> m;

		if ( !n && !m ) {
			break;
		}

		VVI g(n + 1, VI(n + 1, 0));
		VVI dp(m + 1, VI(n + 1, 0));

		for(int i = 1; i <= n; i++) {
			for(int j = 1; j <= n; j++) {
				cin >> g[i][j];
			}
		}

		for(int i = 0; i <= n; i++) {
			dp[0][i] = 1;
		}

		for(int i = 0; i < m; i++) {
			for(int j = 0; j <= n; j++) {
				if(dp[i][j] > dp[i + 1][j]) {
					for(int k = 0; k <= n; k++) {
						dp[i + 1][k] = max(dp[i + 1][k], dp[i][j] * g[j][k]);
					}
				}
			}
		}

		double ans = 0;

		for(int i = 0; i <= n; i++) {
			ans = max(ans, dp[n - 1][i]);
		}

	/*	for(int i = 0; i <= n; i++) {
			for(int j = 0; j <= m; j++){
				cout << dp[i][j] << " ";
			}
			cout << endl;
		}*/

		printf("%.2f\n", ans);
	}
}

C++: #include<iostream>
#include<algorithm>
#include<cstdio>
#include<iomanip>

using namespace std;

int n, m;
double grow[100][100];
double dp[100][3];//

int main() {
	while (cin >> n >> m, n * m) {
		for (int i = 0; i < n; i++) {
			for (int j = 0; j < n; j++) {
				cin >> grow[i][j];
			}
		}
		for (int i = 0; i < n; i++)dp[0][i] = 1;
		for (int i = 1; i < m; i++) {
			for (int j = 0; j < n; j++) {
				double M = 0;
				for (int k = 0; k < m; k++) {
					M = max(M, dp[i - 1][k] * grow[k][j]);
				}
				dp[i][j] = M;
			}
		}
		double ans = 0;
		for (int i = 0; i < n; i++) {
			ans = max(ans, dp[m - 1][i]);
		}
		int a = ans * 100;
		ans = a / 100;
		cout << fixed << setprecision(2) << ans << endl;
		for (int i = 0; i < n; i++)for (int j = 0; j < n; j++)grow[i][j] = 0;
		for (int i = 0; i < m; i++)for (int j = 0; j < n; j++)dp[i][j] = 0;
	}
	return 0;
}