Go: package main

import (
	"bufio"
	"fmt"
	"math"
	"os"
	"strconv"
)

type Matrix struct {
	r int // num of row
	c int // num of column
}

type Range struct {
	start int // index, inclusive
	end   int // index, inclusive
}

func calcMultiplication(x, y Matrix) (Matrix, int) {
	if x.c != y.r {
		panic("cannnot calculate")
	}
	return Matrix{x.r, y.c}, x.r * y.c * x.c
}

func calcMinMatrixChainMultiplication(matrices []Matrix, r Range, memo map[Range]int) (Matrix, int) {
	if v, ok := memo[r]; ok {
		return Matrix{matrices[0].r, matrices[len(matrices)-1].c}, v
	}
	if len(matrices) == 0 {
		panic("must not be empty")
	} else if len(matrices) == 1 {
		return matrices[0], 0
	}

	var minCount int = math.MaxInt32

	for i := 0; i < len(matrices)-1; i++ {
		formerMatrices := matrices[:i+1]
		latterMatrices := matrices[i+1:]
		matF, countF := calcMinMatrixChainMultiplication(formerMatrices, Range{0, i}, memo)
		matL, countL := calcMinMatrixChainMultiplication(latterMatrices, Range{i + 1, len(matrices) - 1}, memo)
		_, countFL := calcMultiplication(matF, matL)
		count := countF + countL + countFL
		if count < minCount {
			minCount = count
		}
	}
	memo[r] = minCount
	return Matrix{matrices[0].r, matrices[len(matrices)-1].c}, minCount
}

func main() {
	sc := bufio.NewScanner(os.Stdin)
	sc.Split(bufio.ScanWords)
	n, _ := nextInt(sc)
	matrices := make([]Matrix, n)
	for i := 0; i < n; i++ {
		r, _ := nextInt(sc)
		c, _ := nextInt(sc)
		matrices[i] = Matrix{r, c}
	}
	memo := make(map[Range]int)
	_, resultCount := calcMinMatrixChainMultiplication(matrices, Range{0, len(matrices) - 1}, memo)
	fmt.Println(resultCount)
}

func nextInt(sc *bufio.Scanner) (int, error) {
	sc.Scan()
	return strconv.Atoi(sc.Text())
}

C++: #include <bits/stdc++.h>
using namespace std;

// m[i][j]はM_i...M_jの最小コスト
vector<vector<int> > m(101, vector<int>(101));
// M_iはP[i-1]xP[i]行列
vector<int> P(101);

int n;

void solve()
{
  // M_iの最小コストをメモ
  for (int i = 1; i <= n; i++)
  {
    m.at(i).at(i) = 0;
  }
  for (int l = 2; l <= n; l++)
  {
    // 長さlの行列積の最小コストをメモ
    for (int i = 1; i <= n - l + 1; i++)
    {
      int j = i + l - 1;
      // M_i...M_jの最小コストを、M_i...M_kの最小コストとM_k...M_jの最小コストを参照して計算する
      m.at(i).at(j) = (1 << 21); // 2の21乗
      for (int k = i; k <= j - 1; k++)
      {
        m.at(i).at(j) = min(m.at(i).at(j), m.at(i).at(k) + m.at(k + 1).at(j) + P.at(i - 1) * P.at(k) * P.at(j));
      }
    }
  }
}

int main()
{
  cin >> n;
  for (int i = 0; i < n; i++)
  {
    int r, c;
    if (i == 0)
    {
      cin >> r >> c;
      P.at(0) = r;
      P.at(1) = c;
    }
    else
    {
      cin >> r >> c;
      P.at(i + 1) = c;
    }
  }

  solve();

  cout << m.at(1).at(n) << endl;
}

C++: #include <iostream>
#include<climits>
#include<vector>
using namespace std;
 
int MCM(int p[],int n) {
    vector<vector<int>> m(n,vector<int>(n));
    for (int i = 0; i <= n; i++)
        m[i][i] = 0;
    for (int l = 2; l <= n; l++) {
        for (int i = 1; i <= n - l + 1; i++) {
            int j = i + l - 1;
            m[i][j] = INT_MAX;
            for (int k = i; k <= j-1; k++) {
                int q = m[i][k] + m[k + 1][j] + p[i - 1] * p[k] * p[j];
                if (m[i][j] > q) {
                    m[i][j] = q;
                }
 
            }
        }
 
    }
    return m[1][n];
}
 
int main() {
    int n, p[200];
    cin >> n;
    for (int i = 0; i < n; i++) {
        cin >> p[i] >> p[i + 1];
    }
    cout << MCM(p, n) << endl;
    return 0;
}

C++: #include<stdio.h>

#define N 100
int A[N + 1][N + 1];
int p[N + 1];

int solve(int i, int j)
{
    if(!(A[i][j] < 0)){ return A[i][j]; }
    if(j == i){ A[i][i] = 0; return 0; }
    if(j == i + 1){
        A[i][j] = p[i - 1] * p[i] * p[i + 1];
        return A[i][j];
    }
    int min = -1, x;
    for(int k = i; k < j; k++){
        x = solve(i, k) + solve(k + 1, j) + p[i - 1] * p[k] * p[j];
        if(min < 0){ min = x; }
        else{ if(min > x) min = x; }
    }
    A[i][j] = min;
    return min;
}

int main()
{
    int i, j, n;
    scanf("%d", &n);
    for(i = 1; i <= n; i++){
        scanf("%d %d", &p[i - 1], &p[i]);
        for(j = 1; j <= n; j++){
            A[i][j] = -1;
        }
    }
    printf("%d\n", solve(1, n));
    return 0;
}

C++: // http://algorithms.blog55.fc2.com/blog-entry-66.html

#include <iostream>
using namespace std;
#include <stdio.h>

#define MAX 100
#define INFTY (1 << 21)

int SIZE;
int R[MAX + 2];
int C[MAX+1][MAX+1]; // cost table
int B[MAX+1][MAX+1]; // best table

void compute(){
    for ( int i = 1; i <= SIZE; i++ )
    for ( int j = 1; j <= SIZE; j++ ) C[i][j] = INFTY;
    
    for ( int i = 1; i <= SIZE; i++ ) C[i][i] = 0;
    
    for ( int j = 1; j <= SIZE - 1; j++ ){
        for ( int i = 1; i <= SIZE - j; i++ ){
            for ( int k = i + 1; k <= i + j; k++ ){
                // C[i][i+j] = min( C[i][i+j], 
                //                  C[i][k-1] + C[k][i+j] + R[i]*R[k]*R[i+j+1]);
                int cost = C[i][k-1] + C[k][i+j] + R[i]*R[k]*R[i+j+1];
                if ( cost < C[i][i+j] ){
                    C[i][i+j] =  cost;
                    B[i][i+j] = k;
                }
                
            }
        }
    }
}

void order( int i, int j ){
    if ( i == j ) cout << "M" << i;
    else{
        cout << "(";
        order( i, B[i][j]-1 ); order(B[i][j], j);
        cout << ")";
    }
}

void input(){
    cin >> SIZE;
	int z,i=1;
    for (; i <= SIZE; i++ ) cin >> R[i]>>z;
	R[i]=z;
	//SIZE++;
}

void output(){
    cout <<  C[1][SIZE] << endl;
    //order(1, SIZE);
    //cout << endl;
}

main(){
    input();
    compute();
    output();
}

C++: #include <iostream>
#include <algorithm>
#include <cstring>
#include <vector>
using namespace std;
#define rep(i,n) for (int i = 0; i < (n); ++i)
#define NIL -1
#define MAX 1000

static const int N = 1000;

int main()
{
    int n, m[N+1][N+1], p[N+1];

    cin >> n;
    rep(i, n){
        cin >> p[i] >> p[i+1];
    }

    for(int i = 1; i <= n; ++i) m[i][i] = 0;
    for(int l = 2; l <= n; ++l){
        for(int i = 1; i <= n-1; ++i){
            int j =  i + l - 1;
            m[i][j] = (1 << 21);
            for (int k = i; k <= j-1; ++k){
                m[i][j] = min(m[i][j], m[i][k] + m[k+1][j] + p[i-1] * p[k] * p[j]);
            }
        }
    }

    cout << m[1][n] << endl;

    return 0;
}

C++: #include <iostream>
#include <algorithm>
using namespace std;

void DP(int i, int j, long long dp[101][101], int r[], int c[]){
    if(i == j) dp[i][j] = 0;
    else if (j - i == 1){
        dp[i][j] = r[i] * c[i] * c[j];
    } else {
        int tmp = i;
        dp[i][j] = dp[i][tmp] + dp[tmp+1][j] + r[i] * r[tmp+1] * c[j];
        // cout <<  "i: "<< i <<" tmp: " << tmp <<" " << r[i] * r[tmp+1] * c[j] <<endl;
        tmp++;
        while(tmp != j){
            dp[i][j] = min(dp[i][j], dp[i][tmp] + dp[tmp + 1][j] + r[i] * r[tmp+1] * c[j]);
            // cout <<  "i: "<<i<<" tmp: " << tmp <<" " << r[i] * r[tmp+1] * c[j] <<endl;
            tmp++;
        }
    }
    
    // cout << "i, j: " << i << ", " << j << " " <<  dp[i][j] << endl;
}

void solve(){
    int n; cin >> n;
    int r[n+1], c[n+1];
    r[0] = 0; c[0] = 0;
    for(int i = 1; i <= n; ++i) {
        cin >> r[i] >> c[i];
    }
    long long dp[101][101] = {};
 
    for(int i = 1; i < n; i ++){
        int tmp = 1;
        for(int j = i + tmp; j <= n; j++, tmp++){
            DP(tmp, j, dp, r, c);
        }
    }
    cout << dp[1][n] << endl;
}

int main (){
    solve();
    return 0;
}

C++: def edit_distance(d)
 n =len(d)
 A=[[0 for i inrange(n)] for j in range(n)]
 for long in range(0,n+1-long):
  k=i-1+long
  def f(i,j,k):
   return A[i][j-1]+A[j][k]+]+M[i][0]*M[j-1][1]*M[k][1]
   A[i][k] = min([f(i,j,k) for j in range(i+1,k+1)])
 return A[0][n-1]
n = input()
M = []
for i in range(n):
 M.append(map(int, raw_input().split()))
print edit_distance (M)