Anton has a positive integer n, however, it quite looks like a mess, so he wants to make it beautiful after k swaps of digits.
Let the decimal representation of n as (x1x2... xm)10 satisfying that 1 ≤ x1 ≤ 9, 0 ≤ xi ≤ 9 (2 ≤ i ≤ m), which means . In each swap, Anton can select two digits xi and xj (1 ≤ i ≤ j ≤ m) and then swap them if the integer after this swap has no leading zero.
Could you please tell him the minimum integer and the maximum integer he can obtain after k swaps?
Input The first line contains one integer T, indicating the number of test cases.
Each of the following T lines describes a test case and contains two space-separated integers n and k.
1 ≤ T ≤ 100, 1 ≤ n, k ≤ 109.
Output For each test case, print in one line the minimum integer and the maximum integer which are separated by one space.
Sample 1
5
12 1
213 2
998244353 1
998244353 2
998244353 3
12 21
123 321
298944353 998544323
238944359 998544332
233944859 998544332
WA code
#include <bits/stdc++.h>
#define int long long
#define mod 998244353
#define inf 9187201950435737471
const int maxn=3e5+10;
using namespace std;
int t,k,num[25];
string s;
signed main(){
cin >> t;
while(t--){
cin >> s >> k;
int cnt=k;
for(int i=0;i<s.size();i++){
num[i+1]=s[i]-'0';
}
for(int i=1;i<=s.size();i++){
if(k==0) break;
int x=-1,y=num[i];
for(int j=s.size();j>i;j--){
if(num[j]<y){
if(i==1 && num[j]==0) continue;
y=num[j];
x=j;
}
}
if(x!=-1){
swap(num[i],num[x]);
k--;
}
}
for(int i=1;i<=s.size();i++){
cout << num[i];
}
cout << " ";
k=cnt;
for(int i=0;i<s.size();i++){
num[i+1]=s[i]-'0';
}
for(int i=1;i<=s.size();i++){
if(k==0) break;
int x=-1,y=num[i];
for(int j=s.size();j>i;j--){
if(num[j]>y){
if(i==1 && num[j]==0) continue;
y=num[j];
x=j;
}
}
if(x!=-1){
swap(num[i],num[x]);
k--;
}
}
for(int i=1;i<=s.size();i++){
cout << num[i];
}
cout << endl;
}
return 0;
}