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())
}

Python: def solve(n,mat):
    dp=[[0]*n for _ in range(n)]
    for kukan in range(1,n):
        for i in range(n-kukan):
            dp[i][i+kukan]=min([dp[i][mid]+dp[mid+1][i+kukan]+mat[i][0]*mat[mid+1][0]*mat[i+kukan][1] for mid in range(i,i+kukan)])
    return dp[0][n-1]

n=int(input())
mat=[tuple(map(int,input().split())) for _ in range(n)]
print(solve(n,mat))

Python: # -*- coding: utf-8 -*-

n = int(input())
p = []
m = dict()
for _ in range(n):
    r, c = map(int, input().split())
    p.append(r)
    if _ == n-1:
        p.append(c)

for i in range(n+1):
    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')
        #print(l,i,j)
        for k in range(i, j):
            value = m[(i, k)] + m[(k+1, j)] + p[i-1]*p[k]*p[j]
            m[(i, j)] = min(m[(i, j)], value)

print(m[(1, n)])

Python: N = int(input())
RC = [tuple(map(int, input().split())) for _ in range(N)]
INF = 10**18
# dp[i][j]: iからjの区間における最小回数
dp = [[INF]*N for _ in range(N)]
for i in range(N):
    for j in range(N):
        if i == j:
            dp[i][j] = 0
for diff in range(2, N+1):
    for i in range(N-diff+1):
        j = i+diff-1
        for k in range(i, j):
            dp[i][j] = min(dp[i][j], dp[i][k]+dp[k+1][j]+RC[i][0]*RC[k][1]*RC[j][1])
print(dp[0][N-1])

Python: import sys
input = sys.stdin.readline
a = []
dp = []

#l <= x < rまでの行列せきの最小値
def rec(l, r):
	if dp[l][r] != -1:
		return dp[l][r]
	if l+1 == r:
		dp[l][r] = 0
		return dp[l][r]
	if l+2 == r:
		dp[l][r] = a[l][0] * a[l][1] * a[l+1][1]
		return dp[l][r]

	m = 100000000
	for i in range(l+1, r):
		m = min(m, rec(l, i) + rec(i, r) + a[l][0] * a[i][0] * a[r-1][1])
	dp[l][r] = m
	return dp[l][r]

def main():
	global a, dp
	n = int(input().strip())
	for i in range(n):
		a.append(tuple(map(int, input().strip().split())))
	dp = [[-1] * (n+1) for _ in range(n)]
	print(rec(0, n))

if __name__ == '__main__':
	main()

Python: import sys


class Mat(object):

  def __init__(self, row, col):
    self.row = row
    self.col = col
    
def get_min_mult_cnt_dp(i, j, mat_list):

  multp = [[sys.maxsize for i in range(len(mat_list))] for i in range(len(mat_list))]

  

  # 長さ0連鎖の演算量
  for i in range(len(mat_list)):
    multp[i][i] = 0

  for le in range(1, len(mat_list)):
    for i in range(len(mat_list)-le):
      j = i + le

      tmp = sys.maxsize
      for k in range(i, j):
        p = mat_list[i].row
        n = mat_list[k].col
        q = mat_list[j].col
        tmp = multp[i][k] + multp[k+1][j] + p*n*q

        if (tmp < multp[i][j]):
          multp[i][j] = tmp
    
  
  return multp[i][j]
mat_list = []
num = int(input())
for i in range(num):
    a,b = map(int,input().split())
    mat_list.append(Mat(a,b))



print(int(get_min_mult_cnt_dp(0, num-1, mat_list)))

Python: import sys
read = sys.stdin.read
readline = sys.stdin.buffer.readline
sys.setrecursionlimit(10 ** 8)
INF = float('inf')
MOD = 10 ** 9 + 7

def matrixChainMultiplication(n,p):
    dp = [[0]*(n+1) for _ in range(n + 1)]
    for l in range(2, n + 1):
        for i in range(1, n - l + 2):
            j = i + l - 1
            dp[i][j] = INF
            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])
    return dp[1][n]


def main():
    N = int(readline())
    P = []

    for _ in range(N):
        r, c = map(int, readline().split())
        P.append(r)
    P.append(c)

    print(matrixChainMultiplication(N,P))

    


if __name__ == '__main__':
    main()

Python: if __name__ == '__main__':
    from sys import stdin
    input = stdin.readline

    N = 100
    p = [0]*(N+1)
    m = [[0]*(N+1) for _ in range(N+1)]

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

    for l in range(2, n+1):
        for i in range(1, n-l+2):
            j = i + l - 1
            m[i][j] = 2**21 # 十分大きい数
            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

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):
			m[i][j] = sys.maxsize
			for k in range(i, j+1):
				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: n = int(input())

M = []
for i in range(n):
    r, c = map(int, input().split())
    if i == 0: M.append(r)
    M.append(c)

dp = [[float("inf")] * (n+1) for _ 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] + M[i-1]*M[k]*M[j])

print(dp[1][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 not 0<m[r][c]<x:m[r][c]=x
 print(m[r][c])
if'__main__'==__name__:s()

Python: import sys
input = sys.stdin.readline
n = int(input())
p0, p1 = map(int, input().split())
p = [p0, p1]
for _ in range(1, n):
    _, tmp = map(int, input().split())
    p.append(tmp)
# M[i]: p[i-1] * p[i]size

dp = [[0]*(n+1) for _ in range(n+1)]
#dp[i][j]: M[i]...M[j] の掛け算最小回数

for i in range(0, n+1):
    dp[i][i] = 0
# for i in range(1, n+1):
#     for j in range(i+1, n+1):
#         for k in range(i, j):
#             # M[i]...M[k], M[k+1]...M[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])

for w in range(2, n+1):
    for i in range(1, n+1):
        j = i+w-1
        if j >= n+1:
            continue
        res = 1e30
        for k in range(i, j):
            res = min(
                res,
                dp[i][k] + dp[k+1][j] + p[i-1] * p[k] * p[j]
            )
        dp[i][j] = res
print(dp[1][n])