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: import sys

def len_lcs(s1, s2):
    """Find length of the longest common sequence(LCS) of strings s1 and s2.
    The complexity is ~MN.

    >>> len_lcs("abc", "abc")
    3
    >>> len_lcs("abcbdaba", "bdcaba")
    5
    """
    len1 = len(s1)
    len2 = len(s2)
    if len1 == 0 or len2 == 0:
        return 0

    primary = [0] * len1
    secondary = [0] * len1

    for i in range(len2):
        for j in range(len1):
            if s1[j] == s2[i]:
                match = 1
            else:
                match = 0
            if j == 0:
                if primary[j] > match:
                    secondary[j] = primary[j]
                else:
                    secondary[j] = match
            else:
                sc1, p1, p2 = secondary[j-1], primary[j-1] + match, primary[j]
                if sc1 > p1:
                    if p1 > p2:
                        secondary[j] = sc1
                    elif p2 > sc1:
                        secondary[j] = p2
                    else:
                        secondary[j] = sc1
                else:
                    if sc1 > p2:
                        secondary[j] = p1
                    elif p1 > p2:
                        secondary[j] = p1
                    else:
                        secondary[j] = p2
                # secondary[j] = max(secondary[j-1], primary[j],
                #                    primary[j-1] + match)

        primary, secondary = secondary, primary

    return primary[len1-1]


def run():
    input()
    s = []
    for line in sys.stdin:
        s.append(line.strip())
    for i in range(0, len(s), 2):
        print(len_lcs(s[i], s[i+1]))


if __name__ == '__main__':
    run()

Python: def solve_L():
    X = input()
    Y = input()
   
    a = len(X)
    b = len(Y)
    c1 = [0 for i in range(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())
ans = [[] for i in range(n)]
for i in range(n):
    ans[i] = solve_L()
for i in range(n):
  print(ans[i])

Python: def lcs(x, y):

    l1, l2 = len(x), len(y)

    dp = [0] * (l2+1)
    #dp = [[0]*(l2+1) for i in range(l1+1)]

    for i in range(l1):
        prev = dp[:]
        for j in range(l2):
            if x[i] == y[j]:
                dp[j+1] = prev[j] + 1
                #dp[i+1][j+1] = dp[i][j] + 1   
            elif dp[j+1] < dp[j]:
                dp[j+1] = dp[j]
    
    return dp[l2]

N = int(input())
ans = []
for i in range(N):
    x = input()
    y = input()
    ans.append(lcs(x,y))
for i in range(N):
    print(ans[i])

Python: #!/usr/bin/env python
from __future__ import division, print_function
from sys import stdin


def main():
    n = int(stdin.readline())

    for _ in range(n):
        x = stdin.readline().rstrip()
        y = stdin.readline().rstrip()

        m = len(x)
        n = len(y)

        c = [[0]*(n+1) for _ in range(m+1)]

        cim1 = c[0]
        for i, xi in enumerate(x, start=1):
            ci = c[i]
            for j, yj in enumerate(y, start=1):
                if xi == yj:
                    ci[j] = cim1[j-1] + 1
                elif cim1[j] >= ci[j-1]:
                    ci[j] = cim1[j]
                else:
                    ci[j] = ci[j-1]
            cim1 = ci

        print(c[-1][-1])


main()

Python: def lcs_hs(s1, s2):
    from bisect import bisect_left

    p = []
    append_p = p.append
    for i, c in enumerate(s1):
        j = s2.find(c)+1
        while j:
            append_p((i, -j))
            j = s2.find(c, j)+1

    lis, result = [], 0
    append_lis = lis.append
    for _, y in sorted(p):
        i = bisect_left(lis, -y)
        if i >= result:
            append_lis(-y)
            result += 1
        else:
            lis[i] = -y

    return result


print(*(lcs_hs(input(), input()) for _ in [0]*int(input())), sep="\n")

Python: from collections import defaultdict
INF = 10000
def lcs(s1, s2):
    c = defaultdict(list)
    for i, s in enumerate(s1):
        c[s].append(i)
    for s in set(s2):
        c[s].append(INF)
    def g(li, a):
        for i in li:
            if i >= a:
                return i
        return -1
    dp = []
    for s2_k in s2:
        bgn_idx = 0
        for i, cur_idx in enumerate(dp):
            chr_idx = g(c[s2_k], bgn_idx)
            if chr_idx == INF:
                continue
            dp[i] = min(cur_idx, chr_idx + 1)
            bgn_idx = cur_idx
        else:
            chr_idx = g(c[s2_k], bgn_idx)
            if chr_idx != INF:
                dp.append(chr_idx + 1)
    return len(dp)
def solve():
    N = int(input())
    for _ in range(N):
        x = input()
        y = input()
        print(lcs(x, y))

Python: def lcs(s1_raw, s2_raw):
    dp = []
    for s2 in s2_raw:
        start = 0
        for i, cnt in enumerate(dp):
            index = s1_raw.find(s2, start) + 1
            if not index:
                break
            else:
                dp[i]  = min(cnt , index)
                start = cnt
        index = s1_raw.find(s2, start) + 1
        if index:
            dp.append(index)
    return len(dp)


if __name__ == "__main__":
    q = int(input())
    for _ in range(q):
        x = input()
        y = input()
        print(lcs(x, y))

Python: a=''
for _ in[0]*int(input()):
 X,z=input(),[]
 for y in input():
  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:])

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: # -*- coding: utf-8 -*-
"""
Created on Fri May  4 20:33:37 2018
ALDS1_10_C
@author: maezawa
"""

def longest(x, y):
    m = len(x)
    n = len(y)
    c = [[0 for _ in range(n+1)] for _ in range(m+1)]
    for i in range(m):
        for j in range(n):
            #print(i,j)
            if x[i] == y[j]:
                c[i][j] = c[i-1][j-1] + 1
            elif c[i-1][j] >= c[i][j-1]:
                c[i][j] = c[i-1][j]
            else:
                c[i][j] = c[i][j-1]
    return c[m-1][n-1]

q = int(input())
for i in range(q):
    x = input()
    y = input()
    print(longest(x, y))