Go: package main

import (
	. "fmt"
    "math"
)

// func init() { Println("----------------------------------------") }

func main() {
    const L_MAX = 1003

	var q int
	Scanf("%d", &q)
	X := make([]string, 0, 150)
	Y := make([]string, 0, 150)
	for i := 0; i < 2 * q; i++ {
	    var tmp string
	    Scanf("%s", &tmp)

	    if i % 2 == 0 {
	        X = append(X, tmp)
	    } else {
	        Y = append(Y, tmp)
	    }
	}

    for i := 0; i < q; i++ {
        dp := make([][]int, L_MAX)
        for k, _ := range dp {
            dp[k] = make([]int, L_MAX)
        }

        x, y := X[i], Y[i]

        // init
        isXFound := false
        for c := 0; c < len(x); c++ {
            if isXFound || y[0] == x[c] {
                dp[0][c] = 1
                isXFound = true
            }
        }
        isYFound := false
        for r := 0; r < len(y); r++ {
            if isYFound || x[0] == y[r] {
                dp[r][0] = 1
                isYFound = true
            }
        }

        for r := 1; r < len(y); r++ {
            for c := 1; c < len(x); c++ {
                // dp[r][c]
                if x[c] == y[r] {
                    dp[r][c] = int(math.Max(float64(dp[r - 1][c - 1] + 1), float64(dp[r][c])))
                }

                dp[r][c] = int(math.Max(float64(dp[r][c]), math.Max(float64(dp[r - 1][c]), float64(dp[r][c - 1]))))
            }
        }
        Println(dp[len(y) - 1][len(x) - 1])

        // LCSも求めておく
        // ans := ""
        // r, c := len(y) - 1, len(x) - 1
        // for r >= 0 && c >= 0 {
        //     if y[r] == x[c] {
        //         ans = string(x[c]) + ans
        //         r--
        //         c--
        //     } else {
        //         if dp[r - 1][c] > dp[r][c - 1] {
        //             r--
        //         } else {
        //             c--
        //         }
        //     }
        // }
        // Println(ans)
    }
}

Python: q = int(input())

def lcss(x,y):
    
    lcs = [0]*(len(x)+1)
    for i in range(len(y)):
        w1 = y[i]
        lcs_2 = lcs[:]
        for j in range(len(x)):
            if x[j] == w1:
                lcs[j+1] = lcs_2[j] + 1  
            elif lcs[j+1] < lcs[j]:
                lcs[j+1] = lcs[j]
    return lcs[-1]

ret = []
for i in range(q):
    x = input()
    y = input()
    ret.append(lcss())
print(*ret,sep= "\n")

Python: # -*- coding: utf-8 -*-
import numpy as np

def lcs_sol(x, y):
    n = len(x)
    m = len(y)
    dp = np.zeros((n + 1) * (m + 1), dtype=int).reshape(n + 1, m + 1)

    for i in range(1, n + 1):
        for j in range(1, m + 1):
            if x[i - 1] == y[j - 1]:
                dp[i][j] = dp[i - 1][j - 1] + 1
            else:
                dp[i][j] = max(dp[i - 1][j], dp[i][j - 1])

    return dp[n][m]


if __name__ == '__main__':
    import sys
    q = int(sys.stdin.readline().strip())
    for i in range(q):
        x = sys.stdin.readline().strip()
        y = sys.stdin.readline().strip()
        print(lcs_sol(x, y))

Python: #!/usr/bin/env python
# -*- coding: utf-8 -*-
"""
input:
3
abcbdab
bdcaba
abc
abc
abc
bc

output:
4
3
2

"""
import sys


def lcs(A, B):
    m, n = len(A), len(B)
    count_list = [[0] * (n + 1) for _ in range(m + 1)]

    for i in range(1, m + 1):
        for j in range(1, n + 1):
            if A[i - 1] == B[j - 1]:
                count_list[i][j] = count_list[i - 1][j - 1] + 1
            elif count_list[i - 1][j] >= count_list[i][j - 1]:
                count_list[i][j] = count_list[i - 1][j]
            else:
                count_list[i][j] = count_list[i][j - 1]

    return count_list[m][n]


if __name__ == '__main__':
    _input = sys.stdin.readlines()
    pair_num = int(_input[0])

    word_list = _input[1:]
    # assert len(word_list) == 2 * pair_num
    for k in range(0, len(word_list), 2):
        print(lcs(word_list[k].strip(), word_list[k + 1].strip()))

Python: def m():
 e=input
 a=''
 for _ in[0]*int(e()):
  X,z=e(),[]
  for y in e():
   s=i=0
   for k in z:
    t=X.find(y,s)+1
    if t<1:break
    if t<k:z[i]=t
    s=k;i+=1
   else:
    t=X.find(y,s)+1
    if t:z+=[t]
  a+=f'\n{len(z)}'
 print(a[1:])
if'__main__'==__name__:m()

Python: def solve(X, Y):
    dp = [[0 for j in range(len(Y)+1)] for i in range(len(X)+1)]
    for i in range(1,len(X)+1):
        for j in range(1,len(Y)+1):
            targetX = X[i-1]
            targetY = Y[j-1]
            if targetX == targetY:
                dp[i][j] = dp[i-1][j-1] + 1
            else:
                dp[i][j] = max(dp[i-1][j], dp[i][j-1])
    return dp[len(X)][len(Y)]

num = int(input())
for i in range(num):
    X = input()
    Y = input()
    print(solve(X,Y))

Python: def lcs(x, y):
    a = len(x)
    b = len(y)
    c1 = [0] * (b + 1)
    for i in range(a):
        e1 = x[i]
        c2 = c1[:]
        for j in range(b):
            if e1 == y[j]:
                c1[j+1] = c2[j] + 1
            elif c1[j+1] < c1[j]:
                c1[j+1] = c1[j]
    return c1[-1]
   
n = int(input().rstrip())
ret = []
for i in range(n):
    s1 = input().rstrip()
    s2 = input().rstrip()
    ret.append(lcs(s1, s2))
print(*ret, sep="\n")

Python: # 最長共通部分列

def lcs(x, y):
    m = len(x)
    n = len(y)
    c = [0] * (n + 1)
    for i in range(m):
        c2 = c[:]
        for j in range(n):
            if x[i] == y[j]:
                c[j + 1] = c2[j] + 1
            elif c[j + 1] < c[j]:
                c[j + 1] = c[j]
    return c[-1]


n = int(input())
Z = [0] * n
for i in range(n):
    X = input()
    Y = input()
    Z[i] = lcs(X, Y)
for z in Z:
    print(z)

Python: def lcs(x, y):
    ans = [[0]*(len(y)+1) for _ in range(len(x)+1)]
    for i, cx in enumerate(x, 1):
        ao = ans[i-1]
        old = ans[i][0]
        for j, cy in enumerate(y, 1):
            if cx == cy:
                old = ao[j-1] + 1
            else:
                a1, a2 = old, ao[j]
                old = a1 if a1 > a2 else a2
            ans[i][j] = old
    return ans[-1][-1]

def main():
    n = int(input())
    a = []
    for _ in range(n):
        X = input()
        Y = input()
        a.append(lcs(X, Y))
    print('\n'.join(list(map(str, a))))

if __name__ == "__main__":
    main()

Python: from __future__ import print_function
from sys import stdin
def lcs(x, y):
    m = len(x)
    n = len(y)
    c = [[0]*(n + 1) for a in range(m + 2)]
    for i in range(1, m + 1):
        for j in range(1, n + 1):
            if x[i-1] == y[j-1]:
                c[i][j] = c[i - 1][j - 1] + 1
            else:
                c[i][j] = max(c[i - 1][j], c[i][j - 1])
    return max(max(c))

n = int(raw_input().rstrip())
strs = stdin.readlines()
ret = []
for i in range(n):
    s1 = strs[i*2].rstrip()
    s2 = strs[i*2+1].rstrip()
    ret.append(lcs(s1, s2))
print(*ret, sep="\n")

Python: def edit_distance(s, t):
 s = raw_input()
 t = raw_input()
 dp = {}
 for i in range(len(s) + 1):
  dp[i] = {0: i}
 for j in range(len(t) + 1):
  dp[0][j] = j
 for i in range(1, len(s) + 1):
  for j in range(1, len(t) + 1):
   if (s[i-1] == t[j-1]): 
    d = 0
   else:
    dp[i][j] = min(dp[i-1][j] + 1, dp[i][j-1] + 1, dp[i-1][j-1] + d)
 return dp[len(s)][len(t)]

Python: n = int(input())

cnt=[0 for i in range(n)]

for i in range(n):
	A = []
	A = input()
	B = []
	B = input()

	DP = [[0 for k in range(len(B)+1)] for j in range(len(A)+1)]

	for j in range(len(A)):
		for k in range(len(B)):
			if A[j]==B[k]:
				DP[j+1][k+1]=DP[j][k]+1
			else:
				DP[j+1][k+1]=max(DP[j+1][k], DP[j][k+1])
	cnt[i]=DP[len(A)][len(B)]


for i in range(n):
	print(cnt[i])