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)])
	}
}

C++: #include <bits/stdc++.h>

using namespace std;

int solve(string &s, string &t, vector<vector<int>> &memo, int i = 0,
          int j = 0) {
  if (i >= s.size() || j >= t.size()) {
    return 0;
  }

  if (memo[i][j] < 0) {
    if (*(s.end() - i - 1) == *(t.end() - j - 1)) {
      memo[i][j] = solve(s, t, memo, i + 1, j + 1) + 1;
    } else {
      memo[i][j] =
          max(solve(s, t, memo, i + 1, j), solve(s, t, memo, i, j + 1));
    }
  }

  return memo[i][j];
}
int main(int argc, char *argv[]) {
  int n;
  cin >> n;
  for (int i = 0; i < n; ++i) {
    string s, t;
    cin >> s >> t;
    vector<vector<int>> memo(s.size(), vector<int>(t.size(), -1));
    cout << solve(s, t, memo) << '\n';
  }

  return 0;
}

C++: #include<cstdio>
#include<cstring>
#include<algorithm>

using namespace std;

int map[2000][2000];

int main(void) {
    int q;
    scanf("%d",&q);
    for(int i=0; i<q; i++) {
        char x[2000], y[2000];
        scanf("%s%s",x,y);
        int xl=strlen(x),yl=strlen(y);

        for(int m=0; m<xl; m++)
            map[m][0] = 0;
        for(int n=0; n<yl; n++)
            map[0][n] = 0;
        for(int m=1; m<=xl; m++)
            for(int n=1; n<=yl; n++) {
                if(x[m] == y[n])
                    map[m][n] = max(max(map[m-1][n-1]+1, map[m-1][n]), map[m][n-1]);
                else
                    map[m][n] = max(max(map[m-1][n-1]+0, map[m-1][n]), map[m][n-1]);
            }
        printf("%d\n", map[xl][yl]);
    }
    return 0;
}

C++: #include <iostream>
#include <string>
#include <algorithm>

constexpr int MAX_XY = 1000;

int lx, ly, q, dp[MAX_XY][MAX_XY];
std::string sx, sy;

void fill_dp(){
    for(int i = 1; i <= lx; ++i){
        for(int j = 1; j <= ly; ++j){
            if(sx[i - 1] == sy[j - 1]) dp[i][j] = dp[i - 1][j - 1] + 1;
            else dp[i][j] = std::max(dp[i - 1][j], dp[i][j - 1]);
        }
    }
}

void solve(){
    fill_dp();
    std::cout << dp[lx][ly] << std::endl;
    return;
}

int main(){
    std::cin >> q;
    
    for(int i = 0; i < q; ++i){
        std::cin >> sx >> sy;
        lx = sx.size(), ly = sy.size();
        solve();
    }
    return 0;
}

C++: #include <bits/stdc++.h>
#define REP(i, n) for(int i = 0; i < n; i++)
#define REPP(i, n) for(int i = 1; i <= n; i++)
#define REPR(i, n) for(int i = n; i >= 0; i--)
#define FOR(i, m, n) for(int i = m; i < n; i++)
#define ALL(v) v.begin(), v.end()
#define UNIQUE(v) v.erase(unique(v.begin(), v.end()), v.end());
using namespace std;
typedef long long ll;
typedef pair<ll, ll> p;
const ll MOD = 1000000007;

ll lcs(string s, string t) {
    int n = s.length();
    int m = t.length();
    vector<vector<int>> dp(n+1, vector<int>(m+1, 0));
    dp[0][0] = 0;
    REPP(i,n) {
        REPP(j,m) {
            if(s[i-1]==t[j-1]) dp[i][j] = dp[i-1][j-1] + 1;
            else dp[i][j] = max(dp[i][j-1], dp[i-1][j]);
        }
    }
    return dp[n][m];
}

int main() {
    int q; cin >> q;
    REP(i,q) {
        string S,T; cin >> S >> T;
        cout << lcs(S,T) << endl;
    }
    return 0;
}

C++: #include <iostream>
#include <algorithm>
#include <set>
#include <vector>
#include <math.h>
using namespace std;
typedef long long ll;

int linersearch(int a[], int n, int x);
void insetrtionsort(int a[], int n);
void printarray(int n, int a[]);
void babblesort(int n, int a[]);
void selectionsort(int n, int a[]);
void countingsort(int n, int a[]);
void minimumcostsort(int n, int a[]);

int linersearch(int a[], int n, int x)
{
    int ret = 0;
    for (int i = 1; i < n; i++)
    {
        if (a[i] == x)
        {
            ret = 1;
            break;
        }
    }
    return ret;
}

void insetrtionsort(int a[], int n)
{
    int j, v;
    for (int i = 1; i < n; i++)
    {
        v = a[i];
        j = i - 1;
        while (j >= 0 && a[j] > v)
        {
            a[j + 1] = a[j];
            j--;
        }
        a[j + 1] = v;
        for (int i = 0; i < n; i++)
        {
            cout << a[i] << " ";
        }
        cout << endl;
    }
}

void babblesort(int n, int a[])
{
    int flag = 1;
    int counter = 0;
    int tmp;
    while (flag)
    {
        flag = 0;
        for (int j = n - 1; j > 0; j--)
        {
            if (a[j] < a[j - 1])
            {
                swap(a[j], a[j - 1]);
                counter++;
                flag = 1;
            }
        }
    }
    printarray(n, a);
    cout << counter << endl;
}

void selectionsort(int n, int a[])
{
    int minj;
    int counter = 0;
    for (int i = 0; i < n; i++)
    {
        minj = i;
        for (int j = i; j < n; j++)
        {
            if (a[j] < a[minj])
                minj = j;
        }
        if (i != minj)
        {
            swap(a[minj], a[i]);
            counter++;
        }
    }
    printarray(n, a);
    cout << counter << endl;
}

void countingsort(int n, int a[])
{
    int b[n] = {};
    int k = 0;
    for (int i = 0; i < n; i++)
        k = max(a[i], k);
    int c[k + 1] = {};
    for (int i = 0; i < n; i++)
        c[a[i]]++;
    for (int i = 1; i < k + 1; i++)
        c[i] += c[i - 1];
    for (int i = n - 1; i > -1; i--)
    {

        b[c[a[i]] - 1] = a[i];
        c[a[i]]--;
    }
    printarray(n, b);
}

void minimumcostsort(int n, int a[])
{
    int maxa, maxindex, cost;
    cost = 0;
    for (int i = n - 1; i > 0; i--)
    {
        maxa = a[0];
        maxindex = 0;
        for (int j = 1; j <= i; j++)
        {
            if (a[j] > maxa)
            {
                maxa = a[j];
                maxindex = j;
            }
        }
        if (maxindex != i)
        {
            cost += maxa + a[i];
            swap(a[maxindex], a[i]);
        }
    }
    cout << cost << endl;
}

void printarray(int n, int a[])
{
    for (int i = 0; i < n; i++)
    {
        cout << a[i];
        if (i != n - 1)
            cout << " ";
    }
    cout << endl;
}

int gcd(int a, int b)
{
    if (a < b)
    {
        int t = a;
        a = b;
        b = t;
    }
    cout << a << " " << b << endl;
    if (b == 0)
        return a;
    else
        return gcd(b, b % a);
}

ll fib(int x){
    if (x == 0 || x == 1)
        return 1;
    else;
        return fib(x - 1) + fib(x - 2);
}

int lcs(string s, string t)
{
    int la = s.size();
    int lb = t.size();
    int lcs[la + 1][lb + 1] = {};
    for (int i = 0; i < la; i++)
    {
        for (int j = 0; j < lb; j++)
        {
            if (s[i] == t[j])
            {
                lcs[i + 1][j + 1] = lcs[i][j] + 1;
            }
            else
            {
                lcs[i + 1][j + 1] = max(lcs[i][j + 1], lcs[i + 1][j]);
            }
        }
    }

    return lcs[la][lb];
}

int main()
{
    int q, m, ans;
    string s, t;
    cin >> q;
    for (int i = 0; i < q; i++)
    {
        cin >> s >> t;
        cout << lcs(s, t) <<endl;
    }
    return 0;
}