/*
* LMIO 2019 Cards
* Main Idea : Inclusion Exclusion
* Explanations are in the code
*/
#include <iostream>
#include <vector>
#include <string>
using namespace std;
#define ll long long
ll ans;
ll up[26 * 26 + 5], dn[26 * 26 + 5], lf[26 * 26 + 5], rg[26 * 26 + 5];
int oc[(26 * 26 + 5) * (26 * 26 + 5)];
int hash2(int a, int b){return 26 * a + b;}
int hash4(int a, int b, int c, int d){
return 26 * 26 * 26 * a + 26 * 26 * b + 26 * c + d;
}
int n;
vector<string> v;
int main(){
ios_base::sync_with_stdio(0);
cin.tie(0); cout.tie(0);
cin >> n;
for(int i = 0; i < n; i ++){
string a, b;
cin >> a >> b;
v.push_back(a + b);
}
for(string i : v){
oc[hash4(i[0] - 'A', i[1] - 'A', i[2] - 'A', i[3] - 'A')] ++;
up[hash2(i[0] - 'A', i[1] - 'A')] ++;
dn[hash2(i[2] - 'A', i[3] - 'A')] ++;
lf[hash2(i[0] - 'A', i[2] - 'A')] ++;
rg[hash2(i[1] - 'A', i[3] - 'A')] ++;
}
//all cases (+)
for(int i = 0; i < 26 * 26; i ++)
ans += up[i] * dn[i] + lf[i] * rg[i];
//two duplicate opposite (-)
for(int a = 0; a < 26; a ++) for(int b = 0; b < 26; b ++){
for(int c = 0; c < 26; c ++) for(int d = 0; d < 26; d ++){
int fi = hash4(a, b, c, d), sc = hash4(b, a, d, c);
if(fi < sc) ans -= oc[fi] * oc[sc];
sc = hash4(c, d, a, b);
if(fi < sc) ans -= oc[fi] * oc[sc];
}
}
//two duplicate adjacent (-)
for(int a = 0; a < 26; a ++) for(int b = 0; b < 26; b ++){
for(int c = 0; c < 26; c ++) for(int d = 0; d < 26; d ++){
int fi = hash4(c, a, a, b), sc = hash4(a, b, b, d);
if(fi != sc) ans -= oc[fi] * oc[sc];
fi = hash4(a, b, c, a), sc = hash4(b, d, a, b);
if(fi != sc) ans -= oc[fi] * oc[sc];
}
}
//four duplicate (+)
for(int a = 0; a < 26; a ++) for(int b = a + 1; b < 26; b ++){
int fi = hash4(a, b, b, a), sc = hash4(b, a, a, b);
ans += 3 * oc[fi] * oc[sc];
}
//self intersecting (-)
for(int a = 0; a < 26; a ++)
ans -= 2 * oc[hash4(a, a, a, a)];
for(int a = 0; a < 26; a ++) for(int b = 0; b < 26; b ++) if(a != b){
ans -= oc[hash4(a, b, a, b)] + oc[hash4(a, a, b, b)];
}
cout << ans << endl;
return 0;
}
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
3 ms |
384 KB |
Output is correct |
2 |
Correct |
2 ms |
384 KB |
Output is correct |
3 |
Correct |
3 ms |
512 KB |
Output is correct |
4 |
Correct |
3 ms |
512 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
3 ms |
384 KB |
Output is correct |
2 |
Correct |
4 ms |
1664 KB |
Output is correct |
3 |
Correct |
3 ms |
768 KB |
Output is correct |
4 |
Correct |
4 ms |
2432 KB |
Output is correct |
5 |
Correct |
4 ms |
1792 KB |
Output is correct |
6 |
Correct |
4 ms |
2176 KB |
Output is correct |
7 |
Correct |
3 ms |
384 KB |
Output is correct |
8 |
Correct |
3 ms |
384 KB |
Output is correct |
9 |
Correct |
2 ms |
384 KB |
Output is correct |
10 |
Correct |
3 ms |
512 KB |
Output is correct |
11 |
Correct |
3 ms |
512 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
107 ms |
19264 KB |
Output is correct |
2 |
Correct |
111 ms |
19264 KB |
Output is correct |
3 |
Correct |
113 ms |
19352 KB |
Output is correct |
4 |
Correct |
116 ms |
19136 KB |
Output is correct |
5 |
Correct |
110 ms |
19188 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
3 ms |
384 KB |
Output is correct |
2 |
Correct |
14 ms |
4212 KB |
Output is correct |
3 |
Correct |
79 ms |
18648 KB |
Output is correct |
4 |
Correct |
51 ms |
9732 KB |
Output is correct |
5 |
Correct |
46 ms |
9700 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
3 ms |
384 KB |
Output is correct |
2 |
Correct |
4 ms |
1664 KB |
Output is correct |
3 |
Correct |
3 ms |
768 KB |
Output is correct |
4 |
Correct |
4 ms |
2432 KB |
Output is correct |
5 |
Correct |
4 ms |
1792 KB |
Output is correct |
6 |
Correct |
4 ms |
2176 KB |
Output is correct |
7 |
Correct |
3 ms |
384 KB |
Output is correct |
8 |
Correct |
3 ms |
384 KB |
Output is correct |
9 |
Correct |
2 ms |
384 KB |
Output is correct |
10 |
Correct |
3 ms |
512 KB |
Output is correct |
11 |
Correct |
3 ms |
512 KB |
Output is correct |
12 |
Correct |
107 ms |
19264 KB |
Output is correct |
13 |
Correct |
111 ms |
19264 KB |
Output is correct |
14 |
Correct |
113 ms |
19352 KB |
Output is correct |
15 |
Correct |
116 ms |
19136 KB |
Output is correct |
16 |
Correct |
110 ms |
19188 KB |
Output is correct |
17 |
Correct |
14 ms |
4212 KB |
Output is correct |
18 |
Correct |
79 ms |
18648 KB |
Output is correct |
19 |
Correct |
51 ms |
9732 KB |
Output is correct |
20 |
Correct |
46 ms |
9700 KB |
Output is correct |
21 |
Correct |
27 ms |
6000 KB |
Output is correct |
22 |
Correct |
93 ms |
18644 KB |
Output is correct |
23 |
Correct |
66 ms |
10708 KB |
Output is correct |
24 |
Correct |
57 ms |
10852 KB |
Output is correct |