Go: package main

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

var cache [100][100]int

func main() {
	sc := bufio.NewScanner(os.Stdin)
	sc.Split(bufio.ScanWords)
	sc.Scan()
	num, _ := strconv.Atoi(sc.Text())
	tables := []table{}
	for i := 0; i < num; i++ {
		sc.Scan()
		num1, _ := strconv.Atoi(sc.Text())
		sc.Scan()
		num2, _ := strconv.Atoi(sc.Text())
		t := table{num1, num2}
		tables = append(tables, t)
	}

	fmt.Println(minimum(0, len(tables)-1, tables))
}

type table struct {
	v int
	h int
}

func minimum(i int, j int, t []table) int {
	if i == j {
		return 0
	}

	// fmt.Printf("i:%v j:%v\n", i, j)
	if cache[i][j] != 0 {
		return cache[i][j]
	}

	min := math.MaxInt64
	for k := i; k < j; k++ {
		p := t[i].v
		n := t[k].h
		q := t[j].h
		val := minimum(i, k, t) + minimum(k+1, j, t) + p*n*q
		if val < min {
			min = val
		}
	}

	cache[i][j] = min
	return min
}

Python: import sys

n = int(input())

c = [0]*(n+1)
c[0],c[1] = map(int,input().split())

for i in range(2,n+1):
    c[i] = int(input().split()[1])

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) :#length of chain j-i+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]+c[i-1]*c[k]*c[j])


print(dp[1][n])

Python: #区間[l,r]での最小値は?
#区間[l,l+mid]の最小値+[l+mid+1,r]の最小値+midに依存した計算回数
#(Mi Mj)*(Mj Mk)の計算回数はijk

def kuDP(l,r):
  global dp
  
  if dp[l][r] != -1:
    return dp[l][r]
  
  if l == r:
    dp[l][r] = 0
    return 0
  
  if l+1 == r:
    c = M[l][0]*M[l][1]*M[r][1]
    dp[l][r] = c
    return c
  
  midl = [10**10]*(r-l)
  for mid in range(r-l):
    midl[mid] = kuDP(l,l+mid) + kuDP(l+mid+1,r) + M[l][0]*M[l+mid][1]*M[r][1]
    
  c = min(midl)
  
  dp[l][r] = c
  
  return c

N = int(input())
M = [list(map(int,input().split())) for _ in range(N)]
dp = [[-1]*N for _ in range(N)]
print(kuDP(0,N-1))

Python: #!/usr/bin/env python
from __future__ import division, print_function
from sys import stdin


def main():
    num_mat = int(stdin.readline())
    data = [int(s) for s in stdin.readline().split()]
    for _ in range(num_mat-1):
        _, row = (int(s) for s in stdin.readline().split())
        data.append(row)
    num_dat = len(data)

    bin_op = tuple(data[i]*data[i+1]*data[i+2] for i in range(num_dat-2))
    parts = [(data[0]*data[1], data[-2]*data[-1]), bin_op]

    for j in range(3, num_mat):
        part = parts[-1]
        new_part = []
        for i in range(num_dat-j):
            a = data[i]
            b = data[i+1]
            c = data[i+j-1]
            d = data[i+j]
            new_part.append(min(part[i] + a*c*d, part[i+1] + a*b*d))
        parts.append(new_part)

    L = data
    if num_mat < 2:
        print(0)
    elif num_mat < 3:
        print(data[0]*data[1]*data[2])
    else:
        print(min(parts[i][0] + parts[-(i+1)][-1] +
                  L[0]*L[i+1]*L[-1] for i in range(len(parts))))


main()

Python: n = int(input())
p0, p1 = list(map(int, input().split()))
p = [p0, p1]
for i in range(n-1):
    pi = list(map(int, input().split()))
    p.append(pi[1])
    
dp = [[10**10]*(n+2) for _ in range(n+2)]

for i in range(0, n+2):
    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]+p[i-1]*p[k]*p[j]])

print(dp[1][n])

Python: #!/usr/bin/env python3
# -*- coding: utf-8 -*-

import sys
import re
import math
import collections
import itertools
import functools
import logging

logging.basicConfig(level=logging.DEBUG, format="DBG: %(message)s")

def dbg(msg, *args, **kwargs):
    logging.debug(msg, *args, **kwargs)

Mat = collections.namedtuple("Mat", "r c")

def mat_mul(ms):
    return Mat(ms[0].r, ms[-1].c)

def cost(m1, m2):
    return m1.r * m1.c * m2.c

def solve(n, ms):
    if n == 1: return 0

    dp = {}
    for i in range(n):
        dp[(i,i)] = 0

    for l in range(2, n+1):
        for i in range(n-l+1):
            cost_min = math.inf
            for j in range(l-1):
                dbg("l, i, j: %d %d %d", l, i, j)
                m_lhs = mat_mul(ms[i:i+j+1])
                m_rhs = mat_mul(ms[i+j+1:i+l])
                dbg("m_lhs, m_rhs: %r %r", m_lhs, m_rhs)
                cost_lhs = dp[(i,i+j)]
                cost_rhs = dp[(i+j+1,i+l-1)]
                dbg("cost_lhs, cost_rhs: %d %d", cost_lhs, cost_rhs)
                cost_mul = cost(m_lhs, m_rhs)
                dbg("cost_mul: %d", cost_mul)
                cost_now = cost_mul + cost_lhs + cost_rhs
                dbg("cost_now: %d", cost_now)
                if cost_min > cost_now:
                    cost_min = cost_now
            dp[(i,i+l-1)] = cost_min

    dbg(dp)
    return dp[(0,n-1)]

def main():
    n = int(input())

    ms = []
    for _ in range(n):
        r,c = map(int, input().split())
        ms.append(Mat(r,c))

    print(solve(n, ms))

if __name__ == "__main__": main()

Python: # -*- coding: utf-8 -*-
import functools
INF = 10**9
n = int(input())
p = list(map(int, input().split()))
for i in range(n - 1):
    p.append(int(input().split()[1]))


@functools.lru_cache(maxsize=None)
def matrix_chain_multiplication(i, j):
    if i == j:
        return 0

    tmp = INF
    for k in range(i, j):
        tmp = min(
            tmp,
            matrix_chain_multiplication(i, k) +
            matrix_chain_multiplication(k + 1, j) + p[i - 1] * p[k] * p[j])
    return tmp


print(matrix_chain_multiplication(0, n - 1))

Python: import sys

sys.setrecursionlimit(10 ** 6)
int1 = lambda x: int(x) - 1
p2D = lambda x: print(*x, sep="\n")

def main():
    def get_cost(l,r):
        if r-l==1:return 0
        if r-l==2:return rc[l][0]*rc[r-1][0]*rc[r-1][1]
        if cost[l][r]!=-1:
            return cost[l][r]
        res=cost[l][r]=min(get_cost(l,m)+get_cost(m,r)
                           +rc[l][0]*rc[m][0]*rc[r-1][1] for m in range(l+1,r))
        return res

    n=int(input())
    rc=[list(map(int,input().split())) for _ in range(n)]
    cost=[[-1]*(n+1) for _ in range(n)]
    print(get_cost(0,n))

main()

Python: n = int(input())
p = [item for sublist in [[int(input().split()[1])] if i != 0 else list(map(int, input().split())) for i in range(n)] for item in sublist]

def memolize(f):
    cache = {}

    def helper(x, y):
        if (x, y) not in cache:
            cache[(x, y)] = f(x, y)
        return cache[(x, y)]
    return helper

@memolize
def calcMatrixOrder(i, j):
    if i == j :
        return 0
    return min([calcMatrixOrder(i, k) + calcMatrixOrder(k + 1, j) + p[i]*p[k+1]*p[j + 1] for k in range(i, j)])

print(calcMatrixOrder(0, n - 1))

Python: global memo

def find_memo(m,l):#memoのm行l列の値を返す.data
                            #data[l]から続くm+1個の要素からなる部分リスト
    if(memo[m][l]!=0):
        return memo[m][l]
    
    if(m<2):
        return memo[m][l]
    

    tmp_min=999999999
    for i in range(1,m):
        left=find_memo(i,l)
        right=find_memo(m-i,l+i)
        middle=memo[0][l]*memo[0][l+i]*memo[0][l+m]
        if(left + right + middle< tmp_min):
            tmp_min = left + right + middle
    memo[m][l]=tmp_min
    return tmp_min




tmp_min=9999999999
n=int(input())
memo=[[0]*(n+1-i) for i in range(n+1)]#memo[i][j]はdata[j]から続くi+1個の要素からなる部分リストの最小計算コストを表す

memo[0][0],memo[0][1]=map(int,input().split())
for i in range(2,n+1):
    dummy,memo[0][i]= map(int,input().split())

for i in range(n-1):
    memo[2][i] = memo[0][i]*memo[0][i+1]*memo[0][i+2]

print(find_memo(n,0))