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devu-and-good-strings.cpp
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// By Aman Jain(jainaman224)
// 3/4/16
#include <iostream>
#include <vector>
// #include <queue>
using namespace std;
int main(){
//queue <string> v;
vector <string> a;
a.push_back("a");
a.push_back("b");
a.push_back("c");
int t,c,k,l,m,i,j,co;
string s,temp;
//string a[675276]={"a","b","c"};
long x=3,y=0;
while(x<675276){
//cout << temp2 << v.front().length() << " " << s.length() << " " << v.size() << endl;
temp = "a" + a[y];
co=0;
for(i=1;i<=(temp.length()-1)/2;i++){
if(temp[i]==temp[2*i] && temp[i]==temp[0]){
co = 1;
break;
}
}
if(co==0){
a.push_back(temp);
x++;
}
temp = "b" + a[y];
co=0;
for(i=1;i<=(temp.length()-1)/2;i++){
if(temp[i]==temp[2*i] && temp[i]==temp[0]){
co = 1;
break;
}
}
if(co==0){
a.push_back(temp);
x++;
}
temp = "c" + a[y];
co=0;
for(i=1;i<=(temp.length()-1)/2;i++){
if(temp[i]==temp[2*i] && temp[i]==temp[0]){
co = 1;
break;
}
}
if(co==0){
a.push_back(temp);
x++;
}
y++;
}
long b[27]={0,3,12,36,102,270,696,1626,3588,7194,14238,26028,45630,75252,120570,178014,252468,337920,433440,518256,589836,640404,663426,672114,674916,675228,675276};
string a1[2]= {"a" ,"b" };
string a2[4]= {"aa" ,"ab" ,"ba" ,"bb" };
string a3[6]= {"aab" ,"aba" ,"abb" ,"baa" ,"bab" ,"bba" };
string a4[10]={"aaba" ,"aabb" ,"abaa" ,"abab" ,"abba" ,"baab" ,"baba" ,"babb" ,"bbaa" ,"bbab" };
string a5[14]={"aabaa" ,"aabab" ,"aabba" ,"abaab" ,"ababb" ,"abbaa" ,"abbab" ,"baaba" ,"baabb" ,"babaa" ,"babba" ,"bbaab" ,"bbaba" ,"bbabb" };
string a6[20]={"aabaab" ,"aababb" ,"aabbaa" ,"aabbab" ,"abaaba" ,"abaabb" ,"ababba" ,"abbaab" ,"abbaba" ,"abbabb" ,"baabaa" ,"baabab" ,"baabba" ,"babaab" ,"babbaa" ,"babbab" ,"bbaaba" ,"bbaabb" ,"bbabaa" ,"bbabba" };
string a7[16]={"aabaabb" ,"aabbaab" ,"aabbaba" ,"aabbabb" ,"abaabab" ,"ababbaa" ,"ababbab" ,"abbaabb" ,"baabbaa" ,"babaaba" ,"babaabb" ,"babbaba" ,"bbaabaa" ,"bbaabab" ,"bbaabba" ,"bbabbaa" };
string a8[6]= {"aabbaabb","ababbaba","abbaabba","baabbaab","babaabab","bbaabbaa"};
cin >> t;
while(t--){
cin >> c >> k;
cin >> s;
if(c==1){
if(s.length() > 2)
cout << 0 << endl;
else
cout << 1 << endl;
}
else if(c==2){
if(s.length()>8)
cout << 0 << endl;
else if(s.length()==1 && k==1)
cout << 2 << endl;
else if(s.length()==1 && k==0)
cout << 1 << endl;
else{
l=0;
/* while(!v.empty())
v.pop();
v.push("aa");
v.push("ab");
v.push("ba");
v.push("bb");
while(v.front().length() != s.length()){
//cout << temp2 << v.front().length() << " " << s.length() << " " << v.size() << endl;
temp = "a" + v.front();
co=0;
for(i=1;i<=(temp.length()-1)/2;i++){
if(temp[i]==temp[2*i] && temp[i]==temp[0]){
co = 1;
break;
}
}
if(co==0)
v.push(temp);
temp = "b" + v.front();
co=0;
for(i=1;i<=(temp.length()-1)/2;i++){
if(temp[i]==temp[2*i] && temp[i]==temp[0]){
co = 1;
break;
}
}
if(co==0)
v.push(temp);
v.pop();
}
l=0;
while(!v.empty()){
m=0;
temp = v.front();
//cout << temp2 << endl;
v.pop();
for(i=0;i<s.length();i++){
if(temp[i]!=s[i])
m++;
}
if(m<=k)
l++;
}
cout << l << endl; */
if(s.length()==1){
for(i=0;i<2;i++){
m=0;
for(j=0;j<1;j++){
if(s[j]!=a1[i][j])
m++;
}
if(m<=k)
l++;
}
}
else if(s.length()==2){
for(i=0;i<4;i++){
m=0;
for(j=0;j<2;j++){
if(s[j]!=a2[i][j])
m++;
}
if(m<=k)
l++;
}
}
else if(s.length()==3){
for(i=0;i<6;i++){
m=0;
for(j=0;j<3;j++){
if(s[j]!=a3[i][j])
m++;
}
if(m<=k)
l++;
}
}
else if(s.length()==4){
for(i=0;i<10;i++){
m=0;
for(j=0;j<4;j++){
if(s[j]!=a4[i][j])
m++;
}
if(m<=k)
l++;
}
}
else if(s.length()==5){
for(i=0;i<14;i++){
m=0;
for(j=0;j<5;j++){
if(s[j]!=a5[i][j])
m++;
}
if(m<=k)
l++;
}
}
else if(s.length()==6){
for(i=0;i<20;i++){
m=0;
for(j=0;j<6;j++){
if(s[j]!=a6[i][j])
m++;
}
if(m<=k)
l++;
}
}
else if(s.length()==7){
for(i=0;i<16;i++){
m=0;
for(j=0;j<7;j++){
if(s[j]!=a7[i][j])
m++;
}
if(m<=k)
l++;
}
}
else if(s.length()==8){
for(i=0;i<6;i++){
m=0;
for(j=0;j<8;j++){
if(s[j]!=a8[i][j])
m++;
}
if(m<=k)
l++;
}
}
cout << l << endl;
}
}
else{
if(s.length()>26)
cout << 0 << endl;
else if(s.length()==1 && k==1)
cout << 3 << endl;
else if(s.length()==1 && k==0)
cout << 1 << endl;
else{
/* while(!v.empty())
v.pop();
v.push("aa");
v.push("ab");
v.push("ac");
v.push("ba");
v.push("bb");
v.push("bc");
v.push("ca");
v.push("cb");
v.push("cc"); */
/* while(v.front().length() != s.length()){
//cout << temp2 << v.front().length() << " " << s.length() << " " << v.size() << endl;
temp = "a" + v.front();
co=0;
for(i=1;i<=(temp.length()-1)/2;i++){
if(temp[i]==temp[2*i] && temp[i]==temp[0]){
co = 1;
break;
}
}
if(co==0)
v.push(temp);
temp = "b" + v.front();
co=0;
for(i=1;i<=(temp.length()-1)/2;i++){
if(temp[i]==temp[2*i] && temp[i]==temp[0]){
co = 1;
break;
}
}
if(co==0)
v.push(temp);
temp = "c" + v.front();
co=0;
for(i=1;i<=(temp.length()-1)/2;i++){
if(temp[i]==temp[2*i] && temp[i]==temp[0]){
co = 1;
break;
}
}
if(co==0)
v.push(temp);
v.pop();
} */
l=0;
x = b[s.length()-1];
y = b[s.length()];
while(x<y){
m=0;
temp = a[x];
for(i=0;i<s.length();i++)
if(temp[i]!=s[i])
m++;
if(m<=k)
l++;
x++;
}
/* while(!v.empty()){
m=0;
temp = v.front();
//cout << temp2 << endl;
v.pop();
for(i=0;i<s.length();i++){
if(temp[i]!=s[i])
m++;
}
if(m<=k)
l++;
} */
cout << l << endl;
}
}
}
return 0;
}