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

import sys


def mat_mul_opt(_mat_info):
    rc_info = list(map(int, _mat_info[0]))
    rc_info.extend(list(map(lambda x: int(x[1]), _mat_info[1:])))

    ans = [[0] * (mat_num + 1) for _ in range(mat_num + 1)]

    for l in range(1, mat_num):
        for i in range(1, mat_num - l + 1):
            j = i + l
            ans[i][j] = 1e7
            for k in range(i, j):
                ans[i][j] = min(ans[i][j], ans[i][k] + ans[k + 1][j] +
                                rc_info[i - 1] * rc_info[k] * rc_info[j])

    return ans[1][mat_num]


if __name__ == '__main__':
    _input = sys.stdin.readlines()
    mat_num = int(_input[0])
    mat_info = tuple(map(lambda x: x.split(), _input[1:]))
    # assert len(mat_info) == mat_num

    print(mat_mul_opt(mat_info))

Python: def Matrix_Chain_Multiplication(M, p, N):
    
    for l in range(2, N + 1):
        for i in range(1, N - l + 1 + 1):
            j = i + l - 1

            M[i][j] = 500000000

            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])
    
    return M[1][N]

def Main():
    N = int(input())

    p = [0 for i in range(N+1)]
    M = [[0]*(N+1) for i in range(N+1) ] 

    i = 0
    for n in range(N):
        r, c = map(int, input().split())

        if n == 0:
            p[i] = r
            i += 1
            p[i] = c
            i += 1
        else:
            p[i] = c
            i += 1

    print(Matrix_Chain_Multiplication(M, p, N))

Main()

Python: def matrixChainMultiplication(n):
    m = [[0 for x in range(n + 1)] for y in range(n + 1)]
    for l in range(2, n + 1):
        for i in range(1, n - l + 2):
            j = i + l - 1
            m[i][j] = 99000001
            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])


p = []

n = int(input())

for i in range(n):
    listed_input = input().split()
    p.append(int(listed_input[0]))

p.append(int(listed_input[1]))

matrixChainMultiplication(n)

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
    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())+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 l in range(2,n):
 for i in range(1,n-l+1):
  j=i+l-1;m[i][j]=1e6
  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-1])

Python: n = int(input())


def memorizer(f):
    memo = [ [None] * n for _ in range(n) ]
    for i in range(n):
        memo[i][i] = 0

    def inner_memo(a, b):
        if memo[a][b] is not None:
            return memo[a][b]
        rslt = memo[a][b] = f(a, b)
        return rslt

    return inner_memo

@memorizer
def minimum(a, b):
    return min(minimum(a, i) + minimum(i + 1, b) + l[a] * l[i + 1] * l[b + 1] for i in range(a, b))



a, b = map(int, input().split())

l = []
l.append(a)
l.append(b)

n1 = n - 1

while n1 != 0:
    a, b = map(int, input().split())
    l.append(b)
    n1 -= 1

print(minimum(0, n - 1))

Python: INF = float("inf")
n = int(input())
m = [[0] * (n + 1) for _ in range(n + 1)]
li = [list(map(int, a.split())) for a in sys.stdin]
z = (li[0][0], ) + list(zip(*li))[1]
for l in range(1, n):
    for i in range(1, n - l + 1):
        j = i + l
        m[i][j] = INF
        for k in range(i, j):
            m[i][j] = min(m[i][j], m[i][k] + m[k + 1][j] + z[i - 1] * z[k] * z[j])
print(m[1][n])

Python: #!/usr/bin/env python3

from pprint import pprint
import sys

sys.setrecursionlimit(10 ** 6)
input = sys.stdin.buffer.readline

n = int(input())
l_dim = []
for _ in range(n):
    row, col = map(int, input().split())
    l_dim.append([row, col])
# print(l_dim)

# dp[i][j]: M_i M_{i+1} ... M_jのスカラー乗算回数の最小値
# M_i M_jのスカラー乗算回数 = row_i * col_j * col_i
# 行列 M_i ... M_k と行列 M_{k+1} ... M_j の積を考え、最小値を更新していく
# dp[i][j]: min(dp[i][j], dp[M_i][M_k] + dp[M_{k+1}][M_j] + row_i * col_j * col_k)
# ただし、i <= k <= j

dp = [[-1 for j in range(n)] for i in range(n)]


def rec_dp(left, right):
    if dp[left][right] >= 0:
        # 既に最小値が決まっている
        return dp[left][right]
    if left == right:
        # dp[i][i] = 0
        return 0

    row_left = l_dim[left][0]
    col_right = l_dim[right][1]
    res = float("inf")
    for k in range(left, right):
        col_k = l_dim[k][1]
        num = row_left * col_right * col_k
        res = min(res, rec_dp(left, k) + rec_dp(k + 1, right) + num)
    dp[left][right] = res

    return dp[left][right]


print(rec_dp(0, n - 1))

Python: N = int(input())
R = [0]*(N)
C = [0]*(N)
for i in range(N):
    R[i], C[i] = map(int, input().split())

dp = [[1<<60]*(N+1) for i in range(N+1)]
for i in range(N+1):
    dp[i][i] = 0

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

        for k in range(i, j):
            tmp = dp[i][k] + dp[k+1][j] + R[i]*C[k]*C[j]
            dp[i][j] = min(dp[i][j], tmp)
print(dp[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(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()