This submission is migrated from previous version of oj.uz, which used different machine for grading. This submission may have different result if resubmitted.
#include <bits/stdc++.h>
#include <unordered_map>
using namespace std;
typedef long long ll;
typedef vector <ll> row;
typedef vector <row> matrix;
#define endl '\n'
#define fast ios_base::sync_with_stdio(0);cout.tie(0);cin.tie(0);
#define all(v) ((v).begin()), ((v).end())
#define allR(v) ((v).rbegin()), ((v).rend())
#define For(i,n) for(int i=0;i<(int)(n);i++)
#define sz(v) v.size()
#define swapS(a,b) if(a>b) swap(a,b)
const ll mod = 1e9+7;
const ll OO = 1e18;
const ll invalid = -1e18;
int dx[] = {0,0,-1,1,1,1,-1,-1};
int dy[] = {1,-1,0,0,1,-1,-1,1};
ll fixMod(ll x){
return ((x%mod) + mod) % mod;
}
ll lcm(ll a,ll b){
return max(a,b)/__gcd(a,b)*min(a,b);
}
ll power(ll a,ll b){
if(b==0) return 1;
if(b==1) return a;
if(b&1){
ll y=power(a,b/2);
return (y*y*a);
}
else {
ll y=power(a,b/2);
return (y*y);
}
}
ll inv(ll n){
return power(n,(mod-2));
}
matrix zero(int n,int m){
return matrix(n,row(m,0));
}
matrix identity(int n){
matrix ret = zero(n,n);
for(int i=0;i<n;i++){
ret[i][i] = 1;
}
return ret;
}
matrix multiply(const matrix &a, const matrix &b){
matrix ret = zero(a.size(),b[0].size());
for(int i=0;i<a.size();i++){
for(int k=0;k<a[0].size();k++){
for(int j=0;j<b[0].size();j++){
ret[i][j] += a[i][k] * b[k][j];
ret[i][j] = ret[i][j];
}
}
}
return ret;
}
matrix matrixPower(matrix &a,ll b){
if(b == 0) return identity(a.size());
if(b == 1) return a;
matrix r = matrixPower(a,b/2);
if(b&1) return multiply(multiply(r,r),a);
return multiply(r,r);
}
ll dp[3005][3005];
ll calc(int a,int b){
ll &ret = dp[a][b];
if(~ret) return ret;
if(a<b) return ret = calc(b,a);
if(a>=b && b > 1) return ret = calc(a/b,b);
else return ret = a;
}
void solve(){
ll g,h;
cin>>g>>h;
if(g == h*2){
cout<<g<<" "<<g*h<<endl;
return;
}
if(h == 2){
cout<<g<<" "<<g*2<<endl;
return;
}
if(g == h){
cout<<g<<" "<<h<<endl;
return;
}
for(int i=1;i<=3000;i++){
for(int j=1;j<=3000;j++){
if(__gcd(i,j) == g && calc(i,j) == h){
cout<<i<<" "<<j<<endl;
return;
}
}
}
}
int main()
{
fast
ll t=1;
cin>>t;
memset(dp,-1,sizeof(dp));
while(t--){
//Some important Notes:
// 1- Any minus with mod fixed mod
// 2- Any divide with mod inverse
// 3- Any mod problem make mod in every where
// 4- Any dp problem don't forget to return the saved value :)
solve();
}
return 0;
}
Compilation message (stderr)
euklid.cpp: In function 'matrix multiply(const matrix&, const matrix&)':
euklid.cpp:52:18: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<std::vector<long long int> >::size_type' {aka 'long unsigned int'} [-Wsign-compare]
52 | for(int i=0;i<a.size();i++){
| ~^~~~~~~~~
euklid.cpp:53:22: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<long long int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
53 | for(int k=0;k<a[0].size();k++){
| ~^~~~~~~~~~~~
euklid.cpp:54:26: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<long long int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
54 | for(int j=0;j<b[0].size();j++){
| ~^~~~~~~~~~~~
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