Go: package main

import "fmt"

func initialize_grid(width int,height int)[][]int{
	var grid [][]int
	for i:=0;i<height+1;i++{
		var grid_row  []int
		for j:=0;j<width+1;j++{
			grid_row = append(grid_row,0)
		}
		grid = append(grid,grid_row[:])
	}
	return grid
}

func ma(x int,y int)int{
	if x >= y{
		return x
	}else{
		return y
	}
}

func main()  {
	//Take input
	var num int
	var st1,st2 string
	var string_pairs [][]string
	fmt.Scan(&num)
	for i:=0;i<num;i++{
		var string_pair []string
		fmt.Scan(&st1)
		fmt.Scan(&st2)
		string_pair = append(string_pair,st1,st2)
		string_pairs = append(string_pairs,string_pair)
	}
	//DP
	//initialize grid
	for i:=0;i<num;i++{
		string_1 := string_pairs[i][0]
		string_2 := string_pairs[i][1]

		dp := initialize_grid(len(string_2),len(string_1))

		for j:=1;j<len(string_1)+1;j++{
			for k:=1;k<len(string_2)+1;k++{
				if string_1[j-1] == string_2[k-1]{
					dp[j][k] = dp[j-1][k-1] + 1
				}else{
					dp[j][k] = ma(dp[j-1][k],dp[j][k-1])
				}
			}
		}
		fmt.Println(dp[len(string_1)][len(string_2)])
	}
}

Python: from sys import stdin
input = stdin.readline

N = 1000

def lcs(X, Y):
    c = [[0]*(N+1) for _ in range(N+1)]
    maxl = 0
    X = ' ' + X # 1オリジンにする
    Y = ' ' + Y
    pre_row = c[0]
    for i, x in enumerate(X):
        if i == 0:
            continue
        row = c[i]
        for j, y in enumerate(Y):
            if j == 0:
                continue
            if x == y:
                value = pre_row[j-1] + 1
                row[j] = value
                if maxl < value: # maxlの更新はこの時しか起こらない
                    maxl = value
            else:
                pre_row_j = pre_row[j]
                row_j_1 = row[j-1]
                value = row_j_1
                if pre_row_j > row_j_1:
                    value = pre_row_j # max関数だと、とても遅い
                row[j] = value
        pre_row = row # 今の列が次の列にとって一つ前の列になる

    return maxl

n = int(input())
for _ in range(n):
    s1 = input()[:-1]
    s2 = input()[:-1]
    print(lcs(s1, s2))

Python: def len_LCS(X,Y):
    x_l = len(X)
    y_l = len(Y)
    lcs_row = [0 for _ in range(x_l+1)]
    for yc in Y:
        lcs_row_p = lcs_row[:]
        # lcs_row_p: [i] [i+1]
        # lcs_row  : [i] [i+1]
        for i in range(x_l):
            if X[i] == yc:
                lcs_row[i+1] = lcs_row_p[i] + 1
            elif lcs_row[i] > lcs_row_p[i+1]:
                lcs_row[i+1] = lcs_row[i]
    return lcs_row[-1]
        
if __name__=='__main__':
    n = int(input())
    for _ in range(n):
        X = input()
        Y = input()
        print(len_LCS(X,Y))

Python: import sys
sys.setrecursionlimit(200000)
from collections import defaultdict
from bisect import bisect_left, bisect, insort_left, insort
q = int(input())
for _ in range(q):
    x = input()
    y = input()
    len_x = len(x)
    len_y = len(y)
    if len_x < len_y:
        len_x, len_y = len_y, len_x
        x, y = y, x
    c = defaultdict(list)
    for i, s in enumerate(x):
        c[s].append(i)
    ans = 0
    def f(x_i, y_i, cnt):
        if x_i >= len_x or y_i >= len_y:
            global ans
            if ans < cnt:
                ans = cnt
            return
        f(x_i, y_i + 1, cnt)
        s = bisect_left(c[y[y_i]], x_i)
        if s < len(c[y[y_i]]) and c[y[y_i]][s] < len_x:
            f(c[y[y_i]][s] + 1, y_i + 1, cnt + 1)
    f(0, 0, 0)
    print(ans)

Python: def ask(X,Y):

 a=len(X)
 b=len(Y)
 Z=[]
 for n in range(a):
  z=0
  c=0
  for i in range(n,a):
   for j in range(c,b):
    if(c==b-1):
     break
    if(X[i]==Y[j]):
     z+=1
     c=j
     break
     
  Z.append(z)

 Z.sort();
 return Z[a-1]


q=int(input())
Z=[]
for p in range(q):
 x=input()
 X=list(x)
 y=input()
 Y=list(y)
 z=ask(X,Y)
 Z.append(z)

for p in range(q):
 print(Z[p])

Python: def num_substr(s, t):
    sl = len(s)
    tl = len(t)
    dp = {}
    for i in range(sl + 1):
        dp[i] = {0: 0}
    for j in range(sl + 1):
        dp[0][j] = 0
     
    for i in range(1,sl+1):
        si_1 = s[i-1]
        dpi = dp[i]
        dpi_1 = dp[i-1]
        for j in range(1,tl+1):
            d=1 if si_1 == t[j-1] and dpi_1[j-1] == dpi[j-1] else 0
            dp[i][j] = max(dpi_1[j] ,
                           dpi[j-1] +d)
    return dp[len(s)][len(t)]
 
n = int(input())
for i in range(n):
    s = input()
    t = input()
    print(num_substr(s,t))

Python: for _ in range(int(input())):
    x = list(input())
    y = list(input())
    dp = [[0] * (len(y) + 1) for i in range(len(x) + 1)]
    for i in range(len(x)):
        for j in range(len(y)):
            if x[i] == y[j]:
                dp[i + 1][j + 1] = dp[i][j] + 1
            else:
                dp[i + 1][j + 1] = max(dp[i + 1][j], dp[i][j + 1])
    print(dp[-1][-1])

Python: def lcs_len(X,Y):
    m,n=len(X),len(Y)
    LCS=[0 for _ in range(m+1)]
    for y in Y:
        previous=LCS[:]
        for i,x in enumerate(X):
            if x==y:
                LCS[i+1]=previous[i]+1
            elif LCS[i]>previous[i+1]:
                LCS[i+1]=LCS[i]
    return LCS[-1]

q=int(input())
for _ in range(q):
    X=list(input())
    Y=list(input())
    print(lcs_len(X,Y))

Python: m = int(input())
for i in range(m):
    str1 = input()
    str2 = input()
    A = [[0 for j in range(len(str1)+1)]for k in range(len(str2)+1)]
    for j in range(len(str2)):
        for k in range(len(str1)):
            if(str1[k]==str2[j]):
                A[j+1][k+1] = A[j][k]+1
            else:
                if(A[j+1][k] < A[j][k+1]):
                    A[j+1][k+1] = A[j][k+1]
                else:
                    A[j+1][k+1] = A[j+1][k]
    print(A[len(str2)][len(str1)])

Python: # coding: utf-8

def array2d(d1, d2, init = None):
    return [[init for _ in range(d2)] for _ in range(d1)]


def solve():
    x = input().strip()
    y = input().strip()

    # dp[i][j]: x[:i], y[:j] ???LCS
    # dp[i][j] = max(dp[i-1][j], dp[i][j-1], dp[i-1][j-1]+1(if x[i]==y[j]))
    dp = array2d(len(x), len(y), 0)
    dp[0][0] = int(x[0] == y[0])
    for j in range(1, len(y)):
        dp[0][j] = max(dp[0][j-1], int(x[0] == y[j]))
    for i in range(1, len(x)):
        dp[i][0] = max(dp[i-1][0], int(x[i] == y[0]))
        for j in range(1, len(y)):
            dp[i][j] = max(dp[i-1][j], dp[i][j-1])
            if x[i] == y[j]:
                dp[i][j] = max(dp[i][j], dp[i-1][j-1] + 1)
    return dp[-1][-1]


def main():
    cases = int(input())
    for i in range(cases):
        print(solve())

main()

Python: query = int(input())
for _ in range(query):
    A = input().strip()
    B = input().strip()
    dp = [[0 for n in range(len(A) + 1)] for m in range(len(B) + 1)]
    for i in range(len(B) + 1):
        for inner in range(len(A) + 1):
            if i == 0:
                continue
            elif inner == 0:
                choice = dp[i - 1][inner]
            else:
                choice = max(dp[i][inner - 1], dp[i - 1][inner], dp[i - 1][inner - 1] + int(A[inner - 1] == B[i - 1]))
            dp[i][inner] = choice
#                 print(i, inner, A[inner - 1], B[i - 1])
#         print(dp)
    print(dp[len(B)][len(A)])

Python: import sys


def lcs(x, y):
    # Creating len(x + 1) * len(y + 1) table
    x = ' ' + x  # Add Space
    y = ' ' + y  # Add Space
    len_x = len(x)
    len_y = len(y)
    table = []
    for _ in range(len_y):
        table.append([0] * len_x)

    maxl = 0
    for i, x_ch in enumerate(x):
        if i == 0: continue
        for j, y_ch in enumerate(y):
            if j == 0: continue
            if x[i] == y[j]:
                table[j][i] = table[j - 1][i - 1] + 1
            else:
                table[j][i] = max(table[j - 1][i], table[j][i - 1])
            maxl = max(maxl, table[j][i])

    return maxl


if __name__ == "__main__":
    lines = [line.strip() for line in sys.stdin.readlines()[1:]]
    for sequence_pair in zip(lines[::2], lines[1::2]):
        print(lcs(*sequence_pair))