CSES - Datatähti 2019 alku

Submission details
Task:	Ruudukko
Sender:	ollpu
Submission time:	2018-10-03 18:14:11 +0300
Language:	Ruby
Status:	READY
Result:	100

Feedback
group	verdict	score
#1	ACCEPTED	31
#2	ACCEPTED	14
#3	ACCEPTED	55

Test results
test	verdict	time	group
#1	ACCEPTED	0.40 s	1	details
#2	ACCEPTED	0.39 s	1	details
#3	ACCEPTED	0.39 s	1	details
#4	ACCEPTED	0.40 s	1	details
#5	ACCEPTED	0.40 s	1	details
#6	ACCEPTED	0.38 s	1	details
#7	ACCEPTED	0.39 s	1	details
#8	ACCEPTED	0.38 s	1	details
#9	ACCEPTED	0.40 s	1	details
#10	ACCEPTED	0.40 s	1	details
#11	ACCEPTED	0.40 s	2	details
#12	ACCEPTED	0.40 s	2	details
#13	ACCEPTED	0.40 s	2	details
#14	ACCEPTED	0.41 s	2	details
#15	ACCEPTED	0.43 s	2	details
#16	ACCEPTED	0.42 s	2	details
#17	ACCEPTED	0.46 s	2	details
#18	ACCEPTED	0.44 s	2	details
#19	ACCEPTED	0.46 s	2	details
#20	ACCEPTED	0.46 s	2	details
#21	ACCEPTED	0.44 s	3	details
#22	ACCEPTED	0.45 s	3	details
#23	ACCEPTED	0.45 s	3	details
#24	ACCEPTED	0.44 s	3	details
#25	ACCEPTED	0.44 s	3	details
#26	ACCEPTED	0.45 s	3	details
#27	ACCEPTED	0.45 s	3	details
#28	ACCEPTED	0.44 s	3	details
#29	ACCEPTED	0.44 s	3	details
#30	ACCEPTED	0.44 s	3	details

Code

M = Integer(1e9+7)
N = 500
fac = [1]
N.times do |i|
  fac << fac[-1]*fac.size
end

h = Array.new(N+1) { Array.new(N+1, 0) }
nCr = Array.new(N+1) { Array.new(N+1, 0) }
for i in 0..N
  h[i][0] = fac[i]
  nCr[i][0] = 1
end
for i in 1..N
  for j in 1..i
    h[i][j] = (i-1)*h[i-1][j-1]
    h[i][j] += (j-1)*h[i-2][j-2] if j >= 2
    nCr[i][j] = (nCr[i-1][j]+nCr[i-1][j-1])%M
  end
end

n = gets.strip.to_i
ac, bc, r, br, o, u = [0]*6
pos = Array.new(n) { [nil]*4 }
n.times do |i|
  s = gets
  n.times do |j|
    case s[j]
    when 'A'
      ac += 1
      pos[i][0b00] = j
      pos[j][0b01] = i
    when 'B'
      bc += 1
      pos[i][0b10] = j
      pos[j][0b11] = i
    end
  end
end

n.times do |i|
  if !pos[i][0b00] && !pos[i][0b10]
    r += 1
  elsif pos[i][0b00] && pos[i][0b10]
    o += 1 unless pos[pos[i][0b10]][0b01]
  elsif pos[i][0b00]
    br += 1 unless pos[pos[i][0b00]][0b11]
  else
    u += 1 unless pos[pos[i][0b10]][0b01]
  end
end
res = 0
for x in 0..r
  for y in 0..r-x
    next if r-x-y > o
    ml = fac[r]*nCr[o][r-x-y]%M*nCr[u][x]%M*nCr[n-ac-o-u][y]%M
    res += ml*h[n-ac-r][u-x]%M*h[n-bc][br+y]
    res %= M
  end
end

puts res

Test details

Test 1

Group: 1

Verdict: ACCEPTED

input
`2 .. ..` view save

correct output
`2` view save

user output
`2` view save

Test 2

Group: 1

Verdict: ACCEPTED

input
`2 .. A.` view save

correct output
`1` view save

user output
`1` view save

Test 3

Group: 1

Verdict: ACCEPTED

input
`2 B. .A` view save

correct output
`0` view save

user output
`0` view save

Test 4

Group: 1

Verdict: ACCEPTED

input
`3 ... ... ...` view save

correct output
`12` view save

user output
`12` view save

Test 5

Group: 1

Verdict: ACCEPTED

input
`4 .... .... .... ....` view save

correct output
`216` view save

user output
`216` view save

Test 6

Group: 1

Verdict: ACCEPTED

input
`5 ..... ..... ..... ..... ...` view save

correct output
`5280` view save

user output
`5280` view save

Test 7

Group: 1

Verdict: ACCEPTED

input
`5 ....A ..... ..... ..... ...` view save

correct output
`264` view save

user output
`264` view save

Test 8

Group: 1

Verdict: ACCEPTED

input
`5 B.... ..... ..... .A.B. ...` view save

correct output
`22` view save

user output
`22` view save

Test 9

Group: 1

Verdict: ACCEPTED

input
`5 B.A.. ....A ..... A.B.. ...` view save

correct output
`2` view save

user output
`2` view save

Test 10

Group: 1

Verdict: ACCEPTED

input
`5 A.B.. BA... .B.A. ...BA ...` view save

correct output
`1` view save

user output
`1` view save

Test 11

Group: 2

Verdict: ACCEPTED

input
`10 .......... .......... .......... .......... ...` view save

correct output
`306442892` view save

user output
`306442892` view save

Test 12

Group: 2

Verdict: ACCEPTED

input
`50 .................................` view save

correct output
`694861480` view save

user output
`694861480` view save

Test 13

Group: 2

Verdict: ACCEPTED

input
`111 .................................` view save

correct output
`555319110` view save

user output
`555319110` view save

Test 14

Group: 2

Verdict: ACCEPTED

input
`222 .................................` view save

correct output
`108372237` view save

user output
`108372237` view save

Test 15

Group: 2

Verdict: ACCEPTED

input
`333 .................................` view save

correct output
`259107857` view save

user output
`259107857` view save

Test 16

Group: 2

Verdict: ACCEPTED

input
`444 .................................` view save

correct output
`19906314` view save

user output
`19906314` view save

Test 17

Group: 2

Verdict: ACCEPTED

input
`497 .................................` view save

correct output
`224313667` view save

user output
`224313667` view save

Test 18

Group: 2

Verdict: ACCEPTED

input
`498 .................................` view save

correct output
`929574601` view save

user output
`929574601` view save

Test 19

Group: 2

Verdict: ACCEPTED

input
`499 .................................` view save

correct output
`600226043` view save

user output
`600226043` view save

Test 20

Group: 2

Verdict: ACCEPTED

input
`500 .................................` view save

correct output
`198353194` view save

user output
`198353194` view save

Test 21

Group: 3

Verdict: ACCEPTED

input
`499 .................................` view save

correct output
`840243733` view save

user output
`840243733` view save

Test 22

Group: 3

Verdict: ACCEPTED

input
`499 ........................A........` view save

correct output
`4146290` view save

user output
`4146290` view save

Test 23

Group: 3

Verdict: ACCEPTED

input
`499 B.........A......................` view save

correct output
`173518884` view save

user output
`173518884` view save

Test 24

Group: 3

Verdict: ACCEPTED

input
`499 ...A....B........................` view save

correct output
`20044800` view save

user output
`20044800` view save

Test 25

Group: 3

Verdict: ACCEPTED

input
`499 AB...............................` view save

correct output
`2` view save

user output
`2` view save

Test 26

Group: 3

Verdict: ACCEPTED

input
`500 .................................` view save

correct output
`121064146` view save

user output
`121064146` view save

Test 27

Group: 3

Verdict: ACCEPTED

input
`500 .................................` view save

correct output
`848435259` view save

user output
`848435259` view save

Test 28

Group: 3

Verdict: ACCEPTED

input
`500 .....B........A..................` view save

correct output
`296240911` view save

user output
`296240911` view save

Test 29

Group: 3

Verdict: ACCEPTED

input
`500 .A......B........................` view save

correct output
`2196` view save

user output
`2196` view save

Test 30

Group: 3

Verdict: ACCEPTED

input
`500 ...AB............................` view save

correct output
`1` view save

user output
`1` view save

Datatähti 2019 alku

Ruudukko

Code

Test details

Test 1

Test 2

Test 3

Test 4

Test 5

Test 6

Test 7

Test 8

Test 9

Test 10

Test 11

Test 12

Test 13

Test 14

Test 15

Test 16

Test 17

Test 18

Test 19

Test 20

Test 21

Test 22

Test 23

Test 24

Test 25

Test 26

Test 27

Test 28

Test 29

Test 30

Tasks

Submissions (ollpu)