CSES - Datatähti 2019 alku - Results
Submission details
Task:Ruudukko
Sender:Katajisto
Submission time:2018-10-07 21:57:19 +0300
Language:C++
Status:READY
Result:14
Feedback
groupverdictscore
#10
#2ACCEPTED14
#30
Test results
testverdicttimegroup
#1ACCEPTED0.02 s1details
#2ACCEPTED0.01 s1details
#3ACCEPTED0.01 s1details
#4ACCEPTED0.01 s1details
#5ACCEPTED0.01 s1details
#6ACCEPTED0.03 s1details
#7ACCEPTED0.01 s1details
#80.02 s1details
#90.02 s1details
#100.03 s1details
#11ACCEPTED0.01 s2details
#12ACCEPTED0.02 s2details
#13ACCEPTED0.02 s2details
#14ACCEPTED0.02 s2details
#15ACCEPTED0.03 s2details
#16ACCEPTED0.03 s2details
#17ACCEPTED0.02 s2details
#18ACCEPTED0.03 s2details
#19ACCEPTED0.02 s2details
#20ACCEPTED0.03 s2details
#210.03 s3details
#220.03 s3details
#230.02 s3details
#240.03 s3details
#250.03 s3details
#260.04 s3details
#270.02 s3details
#280.03 s3details
#290.02 s3details
#300.02 s3details

Code

// Los_toteutus.cpp

#include<bits/stdc++.h>
using namespace std;

long m = 1e9+7;
long mod = m;

unordered_map<long long, long long> c;

long long aa(long long d) {
  if(d == 0) return 1;
  if(d == 1) return 0;
  if(c.count(d) != 0) return c[d];
  long long b = (d-1)*((aa(d-1)%mod)+(aa(d-2)%mod)); b %= mod;
  c[d] = b;
  return b;
}

long f(long a) {
  long ans = 1;
  for(long i = 1; i <= a; i++) {
    ans *= i; ans %= m;
  }
  return ans;
}

long nc(long n, long k) {
  if(k == 0) return 1;
  return ((n * nc(n-1,k-1))/k)%m;
}



int main() {
  int n; cin >> n;
  string s[n]; for(int i = 0; i < n; i++) cin >> s[i];
  bool xa[500], xb[500], ya[500], yb[500];
  int ac = 0; int bc = 0; int acc = 0; int bcc = 0;
  for(int i = 0; i < 500; i++) { xa[i] = false; xb[i] = false; ya[i] = false; yb[i] = false; }
  for(int i = 0; i < n; i++) {
    for(int j = 0; j < n; j++) {
      if(s[i][j] == 'B') {
	xb[j] = true;
	yb[i] = true;
	bc++; bcc++;
      }
      if(s[i][j] == 'A') {
	xa[j] = true;
	ya[i] = true;
	ac++; acc++;
      }
    }
  }
  for(int i = 0; i < n; i++) {
    for(int j = 0; j < n; j++) {
      if(s[i][j] == 'B') {
	if(xa[j] || ya[i]) bcc--;
      }
      if(s[i][j] == 'A') {
	if(xb[j] || yb[i]) acc--;
      }
    }
  }
  long balku = f(n-bc);
  bool flip = false;
  for(int i = 1; i <= acc; i++) {
    if(!flip) balku -= f(n-bc-i)*nc(acc,i);
    else balku += nc(acc,i)*f(n-bc-i);
    flip = !flip;
    if(balku < 0) balku += m;
    balku %= m;
  }
  long aalku = f(n-ac);
  flip = false;
  for(int i = 1; i <= bcc; i++) {
    if(!flip) aalku -= f(n-ac-i)*nc(bcc,i);
    else aalku += nc(bcc,i)*f(n-ac-i);
    flip = !flip;
    if(aalku < 0) aalku += m;
    aalku %= m;
  }
  if(aalku == 0) {
    cout << (balku*aa(n))%m;
  }
  else {
    cout << (aalku*aa(n))%m;
  }
}

Test details

Test 1

Group: 1

Verdict: ACCEPTED

input
2
..
..

correct output
2

user output
2

Test 2

Group: 1

Verdict: ACCEPTED

input
2
..
A.

correct output
1

user output
1

Test 3

Group: 1

Verdict: ACCEPTED

input
2
B.
.A

correct output
0

user output
0

Test 4

Group: 1

Verdict: ACCEPTED

input
3
...
...
...

correct output
12

user output
12

Test 5

Group: 1

Verdict: ACCEPTED

input
4
....
....
....
....

correct output
216

user output
216

Test 6

Group: 1

Verdict: ACCEPTED

input
5
.....
.....
.....
.....
...

correct output
5280

user output
5280

Test 7

Group: 1

Verdict: ACCEPTED

input
5
....A
.....
.....
.....
...

correct output
264

user output
264

Test 8

Group: 1

Verdict:

input
5
B....
.....
.....
.A.B.
...

correct output
22

user output
792

Test 9

Group: 1

Verdict:

input
5
B.A..
....A
.....
A.B..
...

correct output
2

user output
88

Test 10

Group: 1

Verdict:

input
5
A.B..
BA...
.B.A.
...BA
...

correct output
1

user output
44

Test 11

Group: 2

Verdict: ACCEPTED

input
10
..........
..........
..........
..........
...

correct output
306442892

user output
306442892

Test 12

Group: 2

Verdict: ACCEPTED

input
50
.................................

correct output
694861480

user output
694861480

Test 13

Group: 2

Verdict: ACCEPTED

input
111
.................................

correct output
555319110

user output
555319110

Test 14

Group: 2

Verdict: ACCEPTED

input
222
.................................

correct output
108372237

user output
108372237

Test 15

Group: 2

Verdict: ACCEPTED

input
333
.................................

correct output
259107857

user output
259107857

Test 16

Group: 2

Verdict: ACCEPTED

input
444
.................................

correct output
19906314

user output
19906314

Test 17

Group: 2

Verdict: ACCEPTED

input
497
.................................

correct output
224313667

user output
224313667

Test 18

Group: 2

Verdict: ACCEPTED

input
498
.................................

correct output
929574601

user output
929574601

Test 19

Group: 2

Verdict: ACCEPTED

input
499
.................................

correct output
600226043

user output
600226043

Test 20

Group: 2

Verdict: ACCEPTED

input
500
.................................

correct output
198353194

user output
198353194

Test 21

Group: 3

Verdict:

input
499
.................................

correct output
840243733

user output
407523877

Test 22

Group: 3

Verdict:

input
499
........................A........

correct output
4146290

user output
831467582

Test 23

Group: 3

Verdict:

input
499
B.........A......................

correct output
173518884

user output
922890712

Test 24

Group: 3

Verdict:

input
499
...A....B........................

correct output
20044800

user output
618708169

Test 25

Group: 3

Verdict:

input
499
AB...............................

correct output
2

user output
314928061

Test 26

Group: 3

Verdict:

input
500
.................................

correct output
121064146

user output
675373767

Test 27

Group: 3

Verdict:

input
500
.................................

correct output
848435259

user output
411804630

Test 28

Group: 3

Verdict:

input
500
.....B........A..................

correct output
296240911

user output
980477871

Test 29

Group: 3

Verdict:

input
500
.A......B........................

correct output
2196

user output
273411190

Test 30

Group: 3

Verdict:

input
500
...AB............................

correct output
1

user output
732014705