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"
		"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 <algorithm>

const int MAX_NM = 100;

int N, M;
double table[MAX_NM][MAX_NM];
double dp[MAX_NM][MAX_NM];

int main(){

    while(true){
        std::cin >> N >> M;
    
        if(N == 0 && M == 0)
            break;

        for(int i = 0; i < N; ++i){
            for(int j = 0; j < N; ++j)
                std::cin >> table[i][j];
        }

        for(int i = 0; i < M; ++i){
            for(int j = 0; j < N; ++j){
                if(i == 0){
                    dp[i][j] = 1;
                }
                else{
                    int max = 0;
                    for(int k = 0; k < N; ++k){
                        max = std::max((double)max, table[k][j] * dp[i - 1][k]);
                    }

                    dp[i][j] = max;
                }
            }
        }
        
        int ans = 0;

        for(int i = 0; i < N; ++i)
            ans = std::max(dp[M - 1][i], (double)ans);
        
        std::cout << ans << std::endl;

    }
    return 0;
}

C++: #include <bits/stdc++.h>
#define rep(i,n) for(int i = 0; i < (int)(n); i++)
using namespace std;

double dp[2][111];
double g[111][111];

int main(){
    int n,m;
    while(cin >> n >> m && n){
        rep(i,n)rep(j,n) cin >> g[i][j];
        rep(i,111) dp[0][i] = 1;
        rep(i,111) dp[1][i] = 0;
        m--;
        rep(i,m){
            auto cur = dp[i&1], nx = dp[(i&1)^1];
            rep(i,111) nx[i] = 0;
            rep(i,n){ // cur
                rep(j,n){ // use
                    nx[j] = max(nx[j], cur[i]*g[i][j]);
                }
            }
            // rep(i,m) cout << nx[i] << " ";
            // cout << endl;
        }
        double ans = 0;
        rep(i,111) ans = max(ans, dp[m&1][i]);
        // ans *= 100;
        // int d = (int)(ans)%10;
        // ans = floor(ans);
        // if(d >= 5) ans += 1;
        // ans /= 100;
        printf("%.2lf\n", ans);
    }
}

C++: #include <vector>
#include <map>
#include <set>
#include <stack>
#include <queue>
#include <algorithm>
#include <numeric>
#include <utility>
#include <sstream>
#include <iostream>
#include <iomanip>
#include <cstdio>
#include <cmath>
#include <string>
#include <cstring>
#include <complex>
#include <ctime>
#include <cstdlib>

using namespace std;

inline int to_int(string s) {int v; istringstream sin(s); sin >> v; return v;}
template<class T> inline string to_str(T x) {ostringstream sout; sout << x; return sout.str();}

typedef long long ll;
const int INF = 1 << 30;

int main()
{
	long double T[128][128], dp[128][128];
	int n, m;

	while(cin >> n >> m)
	{
		if(n == 0 && m == 0)
		{
			break;
		}

		for(int i = 0; i < n; i++)
		{
			for(int j = 0; j < n; j++)
			{
				cin >> T[i][j];
			}
		}
		
		memset(dp, -1, sizeof(dp));
	
		for(int i = 0; i < n; i++)
		{
			dp[0][i] = 1.0;
		}

		for(int i = 1; i < m; i++)
		{
			for(int j = 0; j < n; j++)
			{
				for(int k = 0; k < n; k++)
				{
					//dp[i][j] : i回目で肥料kを使った時の最大の苗木の大きさ
					dp[i][j] = max(dp[i][j], dp[i-1][k]*T[k][j]);
				}
			}
		}

		long double res = -1; 
		for(int i = 0; i < n; i++)
		{
			res = max(res, dp[m-1][i]);
		}
	
		printf("%.2Lf\n",res);
	}
}

C++: #include <iostream>
#include<iomanip>
#include<algorithm>
#define shosu(x) fixed<<setprecision(x)
using namespace std;

int n,m;
double ef[105][105];

double func(){
	double tmp=0,ans=0,dp[105][105];
	for(int i=0;i<m;i++){
		dp[0][i]=1;
	}
	for(int i=1;i<n;i++){
		for(int j=0;j<m;j++){
			for(int k=0;k<m;k++){
				tmp=max(tmp,dp[i-1][k]*ef[k][j]);
			}
			dp[i][j]=tmp;
		}
	}
	for(int i=0;i<m;i++){
		ans=max(ans,dp[n-1][i]);
	}
	return ans;
}

int main(){
	cout<<shosu(2);
	while(1){
		cin>>n>>m;
		if(n==0&&m==0) break;
		for(int i=0;i<n;i++){
			for(int j=0;j<n;j++){
				cin>>ef[i][j];
			}
		}
		cout<<func()<<endl;
	}
}

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

using namespace std;

struct Data {
	int idx;
	double point;
};

int n, m;
Data data[100];
double Max;

void search( int prev, double point, int count )
{
	if(count == m) {
		if(Max < point) {
			Max = point;
		}
		return;
	}
	search(data[prev].idx, point*data[prev].point, count + 1);
}

int main( void )
{
	while(cin >> n >> m, n | m) {
		Max = 0;
		for(int i=0; i < 100; ++i) data[i].point = 0;
		for(int i=0; i < n; ++i)
			for(int j=0; j < m; ++j) {
				double point;
				cin >> point;
				if(point > data[i].point) {
					data[i].idx = i;
					data[i].point = point;
				}
			}
		for(int i=0; i < n; ++i)
			search(i, 1.0, 1);
		int tmp = Max * 1000;
		Max = tmp / 1000.0;
		printf("%.2f\n", Max);
	}
	return 0;
}

C++: #include <vector>
#include <map>
#include <set>
#include <stack>
#include <queue>
#include <algorithm>
#include <numeric>
#include <utility>
#include <sstream>
#include <iostream>
#include <iomanip>
#include <cstdio>
#include <cmath>
#include <string>
#include <cstring>
#include <complex>
#include <ctime>
#include <cstdlib>

using namespace std;

inline int to_int(string s) {int v; istringstream sin(s); sin >> v; return v;}
template<class T> inline string to_str(T x) {ostringstream sout; sout << x; return sout.str();}

typedef long long ll;
const int INF = 1 << 30;

int main()
{
	long double T[128][128], dp[128][128];
	int n, m;

	while(cin >> n >> m)
	{
		if(n == 0 && m == 0)
		{
			break;
		}

		for(int i = 0; i < n; i++)
		{
			for(int j = 0; j < n; j++)
			{
				cin >> T[i][j];
			}
		}
		
		memset(dp, 0, sizeof(dp));
	
		for(int i = 0; i < n; i++)
		{
			dp[0][i] = 1.0;
		}

		for(int i = 1; i < m; i++)
		{
			for(int j = 0; j < n; j++)
			{
				for(int k = 0; k < n; k++)
				{
					//dp[i][j] : i回目で肥料jを使った時の最大の苗木の大きさ
					dp[i][j] = max(dp[i][j], dp[i-1][k]*T[k][j]);
				}
			}
		}

		long double res = -1; 
		for(int i = 0; i < n; i++)
		{
			res = max(res, dp[m-1][i]);
		}
	
		printf("%.2Lf\n",res);
	}
}

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[n][m], 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[j][k-1]*a[j][i]);
				}
			}
		}
		
		r = 0.0;
		for(int j = 0; j < n; j++){
			r = max(r, dp[j][m-1]);
		}
		
		printf("%.2Lf\n", r);
	}
	
	return 0;
}