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 python3
# -*- coding: utf-8 -*-

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

def dbg(*args):
    print("DBG: ", file=sys.stderr, end="")
    print(*args, file=sys.stderr)

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
            #cost_min = float("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: # 連鎖行列積 Matrix chain multiplication

n = int(input())
p = [-1 for i in range(n + 1)]
M = [[-1 for i in range(n + 1)] for i in range(n + 1)]

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

for i in range(1, 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] = 2000000000
        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: #!/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:])))

    for l in range(2, mat_num + 1):
        for i in range(1, mat_num - l + 2):
            j = i + l - 1
            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

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

Python: n = int(input())
p = [0]*(n+1)

INF = 1000000000

for i in range(n):
    if i == 0:
        p[0],p[1] = map(int,input().split())
    else:
        tmp,p[i+1] = map(int,input().split())

dp = [[-1]*(n+2) for _ in range(n+2)]

def DFS(i,j):
    if dp[i][j] != -1:
        return dp[i][j]
    else:
        if j-i == 2:
            dp[i][j] = p[i]*p[i+1]*p[i+2]
            return dp[i][j]
        elif j-i == 1:
            dp[i][j] = 0
            return 0
        else:
            calculation_amount = INF
            for k in range(i+1,j):
                tmp = DFS(i,k) + DFS(k,j) + p[i]*p[j]*p[k] 
                calculation_amount = min(calculation_amount,tmp)
            dp[i][j] = calculation_amount
            return calculation_amount

print(DFS(0,n))

Python: n = int(input())
data = list(list(map(int, input().split())) for _ in range(n))
m = [[None for _ in range(n+1)]for _ in range(n+1)]
p = []
INF = 1000000000

for i in range(1, n+1):
    m[i][i] = 0

p.append(data[0][0])
for i in range(n):
    p.append(data[i][1])

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

#print(p)
#print(data)
print(m[1][n])

Python: n = int(input())
p = [0] * (n + 1)
for i in range(1, n + 1):
    r, c = [int(v) for v in input().split()]
    p[i-1] = r
    p[i] = c

N_MAX = 100
M_MAX = 1 << 21
m = [[-1] * (n+1) for i in range(n+1)]

for i in range(1, 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] = M_MAX
        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: 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])
s()

Python: def matrix_chain_order(p):
    n = len(p)
    m = {}
    for length in range(1, n + 1):
        for i in range(n - length + 1):
            j = i + length - 1
            if i == j:
                m[(i, j)] = 0
            else:
                q = None
                for k in range(i, j):
                    c = m[(i, k)] + m[(k+1, j)] + p[i][0] * p[k][1] * p[j][1]
                    if q is None or c < q:
                        q = c
                m[(i, j)] = q
    return m[(0, n-1)]

if __name__ == '__main__':
    import sys

    p = []
    n = int(input())
    for _ in range(n):
        p.append(tuple(map(int, sys.stdin.readline().split())))
    print(matrix_chain_order(p))

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 - 1][0] * P[k][1] * P[j][1])

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