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>
#define ll long long
#define oo 1e9
#define pii pair<int, int>
using namespace std;
const int MAX = 2e6;
int n, k;
bool arr[MAX];
int hashString(string s){
int a = 0;
int b = 1;
for (int i = s.size() - 1; i >= 0; i--)
{
a += (s[i] - '1') * b;
b *= 3;
}
return a;
}
void solve(){
cin >> n >> k;
string cards[n];
for (int i = 0; i < n; i++)
{
cin >> cards[i];
arr[hashString(cards[i])] = true;
}
ll ans = 0;
for(string s:cards){
char others[k][2];
for (int i = 0; i < k; i++)
{
if(s[i] == '1'){
others[i][0] = '2';
others[i][1] = '3';
}
if(s[i] == '2'){
others[i][0] = '1';
others[i][1] = '3';
}
if(s[i] == '3'){
others[i][0] = '1';
others[i][1] = '2';
}
}
for (int mask = 1; mask < (1 << k); mask++)
{
for (int subMask = mask; subMask >= 0; subMask = (subMask - 1) & mask)
{
string a, b;
for (int i = 0; i < k; i++)
{
if(!(mask & (1 << i))){
a += s[i];
b += s[i];
}
else if(subMask & (1 << i)){
a += others[i][1];
b += others[i][0];
}
else{
a += others[i][0];
b += others[i][1];
}
}
ans += (arr[hashString(a)] & arr[hashString(b)]);
if(subMask == 0) break;
}
}
}
cout << ans / 6 << '\n';
}
int main()
{
solve();
}
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