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
	} else if len(matrices) == 2 {
		return calcMultiplication(matrices[0], matrices[1])
	}

	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
		}
	}
	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;//行列のやつ
const long long  INF = 999999999;
vector<int> p;
vector<vector<int>> dp;
int matrix(){
    int n = p.size()-1;
    for(int i=1;i<=n;i++){
        dp[i][i] = 0;
    }
    for(int l=2;l<=n;l++){
        for(int i=1;i<=n-l+1;i++){
            int j = i+l-1;
            dp[i][j] = INF;
            for(int k=i;k<=j-1;k++){
                int q = dp[i][k]+dp[k+1][j]+p[i-1]*p[k]*p[j];
                dp[i][j] = min(q,dp[i][j]);
            }
        }
    }
    
    return dp[1][n];
}
int main(){
    int n;cin >> n;
    p.resize(n+1);
    dp.assign(n+1,vector<int>(n+1));
    for(int i=0;i<n;i++){
        cin >> p[i] >> p[i+1];
    }
    
    cout << matrix() << endl;
}
/*
 *
 * 連鎖行列積
n 個の行列の連鎖 M1,M2,M3,...,Mn が与えられたとき、スカラー乗算の回数が最小になるように積 M1M2M3...Mn の計算順序を決定する問題を連鎖行列積問題(Matrix-Chain Multiplication problem)と言います。

n 個の行列について、行列 Mi の次元が与えられたとき、積 M1M2...Mn の計算に必要なスカラー乗算の最小の回数を求めるプログラムを作成してください。

入力
入力の最初の行に、行列の数 n が与えられます。続く n 行で行列 Mi(i=1...n) の次元が空白区切りの２つの整数 r、c で与えられます。r は行列の行の数、c は行列の列の数を表します。

出力
最小の回数を１行に出力してください。

制約
*/
/*
1≤n≤100
1≤r,c≤100
入力例 1
6
30 35
35 15
15 5
5 10
10 20
20 25
出力例 1
15125
*/

C++: #include<iostream>
#include<algorithm>
using namespace std;
const int N = 100;
int main()
{
	int n, dimen[N + 1], cost[N + 1][N + 1];
	cin >> n;
	for (int i = 1; i <= n; i++)
		cin >> dimen[i - 1] >> dimen[i];
	for (int i = 1; i <= n; i++)
		cost[i][i] = 0;
	for (int cnt = 2; cnt <= n; cnt++)
	{
		for (int i = 1; i <= n - cnt + 1; i++)
		{
			int j = i + cnt - 1;
			cost[i][j] = (1 << 21);
			for (int k = i; k <= j - 1; k++)
				cost[i][j] = min(cost[i][j], cost[i][k]+cost[k + 1][j] + dimen[i - 1] * dimen[k] * dimen[j]);
		}
	}
	cout << cost[1][n] << endl;
}

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

const int N = 110;
int x[N],y[N];
int dp[N][N];

int matrix(int l,int r){
  if(dp[l][r] > -1) return dp[l][r];
  int res = (1 << 30);
  for(int i = l; i < r; i++){
    res = min(res,matrix(l,i)+matrix(i+1,r)+y[l]*x[i]*x[r]);
  }
  return dp[l][r] = res;
}

signed main(){
  cin.tie(0);
  ios::sync_with_stdio(false);

  int n; cin >> n;
  for(int i = 0; i < n; i++){
    cin >> y[i] >> x[i];
  }

  fill(dp[0],dp[N],-1);
  for(int i = 0; i < N; i++) dp[i][i] = 0;
  cout << matrix(0,n-1) << endl;

  return 0;
}

C++: #include<iostream>
#include<cstdio>
#include<algorithm>
#define Lens 105

using namespace std;
int p[Lens];
int C[Lens][Lens];
int N;

int main()
{
	cin >> N;
	for (int i = 1; i <= N; i++)
	{
		cin >> p[i - 1] >> p[i];
		C[i][i] = 0;
	}
	for (int k = 1; k < N; k++)
	{
		for (int i = 1; i <= N-k; i++)
		{
			int j = i + k;
			C[i][j] = C[i][i] + C[i + 1][j]+p[i-1]*p[i]*p[j];
			for (int t = i+1; t < j; t++)
			{                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                
				C[i][j] = min(C[i][j], C[i][t] + C[t+1][j] + p[i - 1] * p[t] * p[j]);
			}
		}
	}
	cout << C[1][N]<<endl;

	return 0;

}

C++: // #define _GLIBCXX_DEBUG
#include <bits/stdc++.h>
using namespace std;
#define rep(i, n) for (int i = 0; i < (int)(n); i++)
#define all(v) v.begin(), v.end()
#define Graph vector<vector<int>>
typedef long long ll;
const ll INF = 1000000007;

vector< vector<ll> > M(110, vector<ll>(110, 0));
vector<ll> P(110);
int N;

ll multiplication(){
    for(int l = 2; l <= N; l++){
        for(int i = 1; i <= N - l + 1; i++){
            int j = i + l - 1;
            M[i][j] = INF * INF;
            for(int k = i; k < j; k++){
                M[i][j] = min(M[i][j], M[i][k] + M[k+1][j] + P[i-1] * P[k] * P[j]);
            }
        }
    }
    return M[1][N];
}

int main(){
    cin >> N;
    rep(i, N){
        cin >> P[i] >> P[i+1];
    }
    cout << multiplication() << endl;
}

C++: #include <iostream>

using namespace std;

int p[101], dp[101][101];

int main() {
	int n; cin >> n;
	for (int i = 1; i <= n; ++i) cin >> p[i - 1] >> p[i];
	for (int i = 2; i <= n; ++i) {
		for (int j = 1; j <= n - i + 1; ++j) {
			int k = i + j - 1;
			dp[j][k] = 1e9;
			for (int l = j; l <= k - 1; ++l)
				dp[j][k] = min(dp[j][k], dp[j][l] + dp[l + 1][k] + p[j - 1] * p[l] * p[k]);
		}
	}
	cout << dp[1][n] << endl;

	return 0;
}

C++: #include <bits/stdc++.h>
#define FOR(i, a, b) for (int i = (a), i##_max = (b); i < i##_max; ++i)
#define RFOR(i, a, b) for (int i = (b)-1, i##_min = (a); i >= i##_min; --i)
#define REP(i, n) for (int i = 0, i##_len = (n); i < i##_len; ++i)
#define RREP(i, n) for (int i = (n)-1; i >= 0; --i)
#define ALL(obj) (obj).begin(), (obj).end()

using namespace std;
using vi = vector<int>;
using vd = vector<double>;
using i64 = int64_t;

constexpr int INF = 1 << 30;
constexpr int MOD = 1000000007;

template <typename T>
void print(vector<T> &v) {
  REP(i, v.size()) {
    if (i) cout << " ";
    cout << v[i];
  }
  cout << endl;
}

int main() {
  int n;
  cin >> n;
  vector<vi> dp(n + 1, vi(n, 0));
  vi p(n + 1);
  REP(i, n) cin >> p[i] >> p[i + 1];
  FOR(s, 2, n + 1) {     // 掛ける個数
    REP(l, n - s + 1) {  // 掛け始めるidx
      dp[s][l] = INF;
      FOR(ls, 1, s) {  // 分割
        auto r = l + ls;
        auto rs = s - ls;
        dp[s][l] =
            min(dp[s][l], dp[ls][l] + dp[rs][r] + p[l] * p[r] * p[l + s]);
      }
    }
  }
  cout << dp[n][0] << endl;
}