#include<bits/stdc++.h>
#include <ext/pb_ds/assoc_container.hpp>
#include <ext/pb_ds/tree_policy.hpp>
using namespace std;
typedef int ll;
using namespace __gnu_pbds;
typedef tree<int, null_type, less<int>, rb_tree_tag, tree_order_statistics_node_update> pbds;
#pragma GCC target ("avx2")
#pragma GCC optimization ("O3")
#pragma GCC optimization ("unroll-loops")
#define ios ios_base::sync_with_stdio(0) ; cin.tie(0) ; cout.tie(0)
#define so sizeof
#define pb push_back
#define cl clear() ;
#define vl vector<ll>
#define sz size()
#define len length()
#define emp empty()
#define el endl;cout.flush()
#define be begin()
#define fi first
#define se second
#define br break
#define en end()
#define ro return 0
#define eb emplace_back
#define con continue
#define ms(x) memset(x , 0ll, so x)
#define all(x) (x).be , (x).en
#define acc(x) accumulate((x).be , (x).en , 0ll)
#define forn(i,a,b) for(ll i=a;i<=b;++i)
#define rng_58 mt19937 rng(chrono::steady_clock::now().time_since_epoch().count())
#define vll vector<pair<ll,ll> >
#define pll pair<ll,ll>
#define plll pair<ll,pair<ll,ll>>
#define plvl pair<pair<ll,ll> ,ll>
#define mp make_pair
#define trace3(a,b,c) cerr <<"a is " << a << " b is " << b << " c is " << c << el;
#define trace4(a,b,c,d) cerr <<"a is " << a << " b is " << b << " c is " << c <<" d is " << d << el ;
#define trace5(a,b,c,d,e) cerr <<"a is " << a << " b is " << b << " c is " << c <<" d is " << d << " e is " << e << el;
#define trace6(a,b,c,d,e,f) cerr <<"a is " << a << " b is " << b << " c is " << c <<" d is " << d << " e is " << e << " f is " << f << el ;
string Solution::SmallestString(string A, int B, int C) {
string s = "";
s = s + A;
ll r = B ;
ll a = C;
if(a >= 10){
a = a % 10 ;
}
ll n = s.len;
unordered_map<string , ll > mpp;
mpp.cl;
mpp[s] = 1;
queue<string> q;
while(q.emp == false) q.pop();
q.push(s);
vector<string> ways ;
ways.cl ;
ways.pb(s);
while(q.emp == false){
string curr = q.front();
q.pop();
string rot = "";
string add = "";
add = add + curr;
/// rotate it
{
string left = "" , right = "" ;
forn(i , 0 , n - r - 1) left = left + curr[i] ;
forn(i , n - r , n - 1 ) right = right + curr[i] ;
rot = rot + right + left;
}
if(mpp[rot] == 0){
++mpp[rot];
q.push(rot);
ways.pb(rot);
}
/// add a to all indices ;
if(a > 0 ) {
forn(i , 0 , n - 1 ) {
if(i % 2 == 1 ) {
char c = add[i] ;
ll num = c - '0';
num = num + a;
if(num >= 10){
num = num % 10;
}
char x = num + 48;
add[i] = x;
}
}
}
if(mpp[add] == 0){
++mpp[add];
q.push(add);
ways.pb(add);
}
}
sort(all(ways));
string coo = "";
coo = coo + ways[0] ;
return coo ;
}
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