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: 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))

Python: def lcs(x, y):
    a = len(x)
    b = len(y)
    c1 = [0] * (b + 1)
    for i in range(a):
        c2 = c1[:]
        for j in range(b):
            if x[i] == 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: q = int(input())

for _ in range(q):
    X = input()
    Y = input()
    NX = len(X)
    NY = len(Y)
    dp = [[0] * (NY+1) for _ in range(NX+1)]
    for x in range(NX):
        for y in range(NY):
            if X[x] == Y[y]:
                dp[x+1][y+1] = dp[x][y] + 1
            else:
                dp[x+1][y+1] = max(dp[x][y+1], dp[x+1][y])
    print(dp[NX][NY])

Python: q = int(input())

for k in range(q):
    x = input()
    y = input()
    lcs = [0 for i in range(len(x)+1)] 
    for i in range(1,len(y) + 1):
        lcs_2 = lcs[:]
        for j in range(1,len(x) + 1):
            if x[j-1] == y[i-1]:
                lcs[j] = lcs_2[j-1] + 1  
            elif lcs[j] < lcs[j-1]:
                lcs[j] = lcs[j-1]
    print(lcs[len(x)])