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())
}

Python: n = int(input())
p = list(range(n+2))

for i in range(1,n+1):
    p[i], p[n+1] = map(int, input().split())

# table[i][j] : M_i??????M_j??????????????????????°?????????°
table = [[0] * (n+1) for i in range(n+1)]

# ??£????????£???2????????????????????????
for i in range(1,n):  # 1<=i,i+1<=n
    table[i][i+1] = p[i]*p[i+1]*p[i+2]


for k in range(3, n+1):    # ?????????k???????????????????????????3<=k<=n
    for i in range(1,n+2-k): # M_i?????????1<=i<=n-k+1
        j = i + k - 1      # M_j?????§???k??????

        table[i][j] = float('inf')

        for x in range(i, j+1): # M_i~M_x??¨M_(x+1)~M_j??§????????????(i<=x,x+1<=j<=n)
            print(i, x, j)
            cost = table[i][x] + table[x+1][j] + p[i]*p[x+1]*p[j+1]
            table[i][j] = min(table[i][j], cost)
            

print(table[1][n])

Python: n = int(input())
INF = 10**9
P = [list(map(int, input().split())) for i in range(n)]
m = [[0]*n for i in range(n)]

for l in range(2, n + 1):
    for i in range(n - l + 1):
        j = i + l - 1
        m[i][j] = INF
        for k in range(i, j):
            m[i][j] = min(m[i][j], m[i][k] + m[k + 1][j] + P[i][0] * P[k][1] * P[j][1])

print(m[0][n - 1])

Python: def s():
 n=int(input())+1
 e=[input().split()for _  in[0]*~-n]
 p=[int(e[0][0])]+list(int(x[1])for x in e)
 m=[[0]*n for _ in[0]*n]
 for i in range(1,n):
  for r in range(n-i-1):
   c=r+i+1
   for j in range(r+1,c):
    x=m[r][j]+m[j][c]+p[r]*p[j]*p[c]
    if 1>m[r][c]or m[r][c]>x:m[r][c]=x
 print(m[r][c])
if'__main__'==__name__:s()

Python: import sys
 
n = int(input())
 
mlist = [0]*(n+1)
#print(mlist)
mlist[0],mlist[1] = map(int,input().split())
#print(mlist)
for i in range(2,n+1):
    mlist[i] = int(input().split()[1])
    #print(mlist)
dp = [[sys.maxsize]*(n+1) for i in range(n+1)]
 
for i in range(1,n+1):
    dp[i][i] = 0
 
for l in range(2,n+1) :
    for i in range(1,n-l+2):
        j = i +l - 1
        for k in range(i,j):
            dp[i][j] = min(dp[i][j],dp[i][k]+
                           dp[k+1][j]+mlist[i-1]*mlist[k]*mlist[j])
 
print(dp[1][n])

Python: import sys

def get_min_cost(n, p):
	m = [[0 for x in range(n+1)] for x in range(n+1)]
	for s in range(n):
		i = 1
		for j in range(s+2, n+1):
			m[i][j] = sys.maxsize
			for k in range(i, j):
				m[i][j] = min(m[i][j], m[i][k]+m[k+1][j]+p[i-1]*p[k]*p[j])
			i+=1	
	return m[1][n]

n = int(input())
p = [0] * (n+1)
j = 0
for i in range(n):
	a = list(map(int, input().split()))
	if i == 0:
		p[j] = a[0]
		j += 1
	p[j] = a[1]
	j += 1
print(get_min_cost(n, p))

Python: import functools
 
 
@functools.lru_cache(maxsize=None)
def rec(l, r):
    # [l, r)
    if l+1 == r:
        return 0
    ret = INF
    for mid in range(l+1, r):
        ret = min(ret, rec(l, mid) + rec(mid, r) + R[l] * R[mid] * C[r-1])
    return ret
 
INF = 10**9
N = int(input())
R, C = [], []
for i in range(N):
    r, c = map(int, input().split())
    R.append(r), C.append(c)
print(rec(0, N))

Python: def s():
 n=int(input())+1
 e=[input().split()for _  in[0]*~-n]
 p=[int(e[0][0])]+list(int(x[1])for x in e)
 m=[[0]*n for _ in[0]*n]
 for i in range(n):
  for r in range(n-i-1):
   c=r+i+1
   for j in range(r+1,c):
    x=m[r][j]+m[j][c]+p[r]*p[j]*p[c]
    if 1>m[r][c]or m[r][c]>x:m[r][c]=x
 print(m[r][c])
if'__main__'==__name__:s()

Python: n = int(input())
p = [0]*(n+1)
m = [[None for _ in range(n+1)] for _ in range(n+1)]
for i in range(1,n+1):
    p[i-1],p[i] = map(int,input().split())
    m[i][i] = 0
for l in range(2,n+1):
    for i in range(1,n-l+2):
        j = i+l-1
        m[i][j] = float("inf")
        for k in range(i,j):
            m[i][j] = min(m[i][j],m[i][k] + m[k+1][j] + p[i-1]*p[k]*p[j])
print(m[1][n])

Python: import sys
import math
from collections import defaultdict, deque
from copy import deepcopy
    
input = sys.stdin.readline
def RD(): return input().rstrip()
def F(): return float(input().rstrip())
def I(): return int(input().rstrip())
def MI(): return map(int, input().split())
def MF(): return map(float,input().split())
def LI(): return list(map(int, input().split()))
def LF(): return list(map(float,input().split()))
def Init(H, W, num): return [[num for i in range(W)] for j in range(H)]
def end_of_loop():raise StopIteration
    
    
def main():
    N = I()
    A = [0]*N
    B = [0]*N
    if N == 0:
        sys.exit()
    for i in range(N):
        a, b = MI()
        A[i] = a
        B[i] = b

    D = Init(N, N, 0)
    #tableの初期化
    for num1 in range(N-1):
        num2 = num1+1
        a,b,c = A[num1], B[num1], B[num2]
        D[num1][num2] = a*b*c
        D[num2][num1] = a*b*c

    for length in range(2, N):
        for num1 in range(N-length):
            num2 = num1+length
            #num1からnum2-1までの組み合わせで最小値を求める
            a = A[num1]
            c = B[num2]
            result = float('inf')
            for num3 in range(num1, num2):
                result = min(result, a*B[num3]*c + D[num1][num3] + D[num3+1][num2])
            D[num1][num2] = result
            D[num2][num1] = result
    print(D[0][N-1])
            
if __name__ == "__main__":
    main()

Python: # Matrix Chain Multiplication
N, *A = map(int, open(0).read().split())
A = A[0::2]+[A[-1]]

INF = float('inf')
dp = [[INF]*(N) for _ in [0]*(N)]
# dp[i][j]: a_iからa_jまでの積に必要な最小の乗算回数

rg = range(N)

for i in rg:
    dp[i][i] = 0


for l in range(1, N):
    for i in rg:
        j = i + l
        if j >= N:
            continue
        for k in range(i, j):
            dp[i][j] = min(
                dp[i][j],
                dp[i][k] + dp[k+1][j] + A[i]*A[k+1]*A[j+1]
            )

print(dp[0][N-1])