Task: | Ruudukko |
Sender: | jarvenp |
Submission time: | 2019-01-07 17:43:46 +0200 |
Language: | C++ |
Status: | READY |
Result: | 100 |
group | verdict | score |
---|---|---|
#1 | ACCEPTED | 31 |
#2 | ACCEPTED | 14 |
#3 | ACCEPTED | 55 |
test | verdict | time | group | |
---|---|---|---|---|
#1 | ACCEPTED | 0.03 s | 1 | details |
#2 | ACCEPTED | 0.01 s | 1 | details |
#3 | ACCEPTED | 0.02 s | 1 | details |
#4 | ACCEPTED | 0.02 s | 1 | details |
#5 | ACCEPTED | 0.01 s | 1 | details |
#6 | ACCEPTED | 0.02 s | 1 | details |
#7 | ACCEPTED | 0.03 s | 1 | details |
#8 | ACCEPTED | 0.02 s | 1 | details |
#9 | ACCEPTED | 0.02 s | 1 | details |
#10 | ACCEPTED | 0.03 s | 1 | details |
#11 | ACCEPTED | 0.02 s | 2 | details |
#12 | ACCEPTED | 0.01 s | 2 | details |
#13 | ACCEPTED | 0.03 s | 2 | details |
#14 | ACCEPTED | 0.04 s | 2 | details |
#15 | ACCEPTED | 0.05 s | 2 | details |
#16 | ACCEPTED | 0.06 s | 2 | details |
#17 | ACCEPTED | 0.06 s | 2 | details |
#18 | ACCEPTED | 0.06 s | 2 | details |
#19 | ACCEPTED | 0.07 s | 2 | details |
#20 | ACCEPTED | 0.07 s | 2 | details |
#21 | ACCEPTED | 0.29 s | 3 | details |
#22 | ACCEPTED | 0.04 s | 3 | details |
#23 | ACCEPTED | 0.02 s | 3 | details |
#24 | ACCEPTED | 0.03 s | 3 | details |
#25 | ACCEPTED | 0.03 s | 3 | details |
#26 | ACCEPTED | 0.20 s | 3 | details |
#27 | ACCEPTED | 0.03 s | 3 | details |
#28 | ACCEPTED | 0.04 s | 3 | details |
#29 | ACCEPTED | 0.03 s | 3 | details |
#30 | ACCEPTED | 0.02 s | 3 | details |
Code
#include <bits/stdc++.h>#include <stdint.h>using namespace std;int64_t n;int64_t taikaluvut[501];const int64_t M = (1e9+7);int64_t calculatefact(int64_t val){int64_t ans=1;for(int64_t i=1; i<=val; i++){ans *= i;ans %=M;}return ans;}int64_t factvals[501];int64_t fact(int64_t val){return factvals[val];}int64_t potenssi(int64_t a, int64_t b){if(b == 1){return a;}int64_t v = potenssi(a,b/2);v*=v;v %= M;if(b%2 == 1){v *= a;v %= M;}return v;}int64_t modulo(int64_t a, int64_t b){return ((a%M)*potenssi(b,M-2))%M;}int64_t factDiv(int64_t val1, int64_t val2, int64_t val3){/*if(val2 < val3){int64_t temp = val3;val3 = val2;val2 = temp;}int64_t factors[501];for(int64_t i=0; i<501; i++){factors[i] = 0;}factors[1] = 1;for(int64_t i=val2+1; i<=val1; i++){for(int64_t i2=0; primes[i][i2] != -1; i2++){factors[primes[i][i2]]++;}}for(int64_t i=2; i<=val3; i++){for(int64_t i2=0; primes[i][i2] != -1; i2++){factors[primes[i][i2]]--;}}int64_t ans = 1;for(int64_t i=1; i<=val1; i++){for(int64_t i2=0; i2<factors[i]; i2++){ans*= i;ans %= M;}}return ans;*/return modulo(fact(val1),(fact(val2)*fact(val3))%M);}int64_t perm(int64_t howMany, int64_t size){if(howMany > size){return 0;}//return((fact(size)/(fact(howMany)*fact(size-howMany)))%M);return (factDiv(size, howMany, (size-howMany)));}int64_t solutions(int64_t size, int64_t blocks){if(size < blocks){return 0;}int64_t ans = (int64_t)taikaluvut[size];for(int64_t i=1; i <= (size-blocks); i++){ans += (int64_t)(perm(i,(size-blocks))*(int64_t)taikaluvut[size-i])%M;ans %= M;}return ans;}int main(){/* for(int64_t i=1; i<501; i++){int64_t num = i;int64_t index = 0;for(int64_t i2=2; num > 1; i2++){while(num%i2 == 0){num/= i2;primes[i][index] = i2;index++;}}primes[i][index] = -1;}primes[1][0] = 1;primes[1][1] = -1;*/for(int64_t i=0; i <= 500; i++){factvals[i] = calculatefact(i);}taikaluvut[0] = 1;taikaluvut[1] = 0;taikaluvut[2] = 1;for(int64_t i=3; i<501; i++){taikaluvut[i] = (((taikaluvut[i-1]+taikaluvut[i-2])%M)*(i-1))%M;}cin >> n;char goal[505][505];for(int64_t i=0; i<n; i++){cin >> goal[i];}int64_t aAmount = 0;for(int64_t i=0; i<n; i++){for(int64_t i2=0; i2<n; i2++){if(goal[i][i2] == 'A'){aAmount++;}}}/*int64_t bAmount = 0;for(int64_t i=0; i<n; i++){for(int64_t i2=0; i2<n; i2++){if(goal[i][i2] == 'B'){bAmount++;}}}*/int64_t xSize = n-aAmount;int64_t ySize = n-aAmount;int64_t aSize = n-aAmount;int64_t extraB = 0;int64_t taulSize = n;for(int64_t i=0; i<n; i++){for(int64_t i2=0; i2<n; i2++){if(goal[i][i2] == 'B'){int64_t aX = 0;int64_t aY = 0;for(int64_t i3=0; i3<n; i3++){if(goal[i][i3] == 'A'){aX = 1;goal[i][i3] = 'C';break;}else if(goal[i][i3] == 'C'){aX = 2;break;}}for(int64_t i3=0; i3<n; i3++){if(goal[i3][i2] == 'A'){aY = 1;goal[i3][i2] = 'C';break;}else if(goal[i3][i2] == 'C'){aY = 2;break;}}taulSize--;if((aY==0) && (aX==0)){xSize--;ySize--;extraB++;}else if((aY!=0)&&(aX!=0)){if(aY == 1){aAmount--;}if(aX == 1){aAmount--;}}else if(aY == 1){aAmount--;xSize--;}else if(aY == 2){xSize--;}else if(aX==1){aAmount--;ySize--;}else if(aX == 2){ySize--;}}}}// cout << aAmount<<" "<< xSize<<" " << ySize<<" "<<aSize<<" "<<extraB<<" "<<taulSize<<"\n";if(xSize < ySize){int64_t temp = xSize;xSize = ySize;ySize = temp;}int64_t ans=0;for(int64_t i=0; i <= ySize; i++){// uint64_t b = ((fact(ySize)/fact(ySize-i))*perm(i,xSize))%M;int64_t b = (factDiv(ySize,(ySize-i),1)*perm(i,xSize))%M;// cout <<b <<"\n";int64_t tempY = ySize-i;int64_t tempX = xSize-i;int64_t temp = 0;for(int64_t i2=0; (i2 <= tempX)&&(i2 <= aAmount); i2++){if((taulSize-ySize-(aAmount-i2)) >= tempX){int64_t temp1 = (((perm(i2, aAmount)*(perm(tempX-i2,taulSize-ySize-aAmount)))%M)*fact(tempX))%M;for(int64_t i3=0; (i3 <= tempY)&& (i3 <= (aAmount-i2)); i3++){if((taulSize-xSize-(aAmount-i2-i3)) >= tempY){int64_t temp2 = (((perm(i3,aAmount-i2)*(perm(tempY-i3,taulSize-xSize-(aAmount-i2))))%M)*fact(tempY))%M;temp += ((((temp1*temp2)%M)*solutions(taulSize-i-tempX-tempY, aAmount-i2-i3))%M);temp %= M;}}}}// cout <<i<<" "<<b<<" "<< temp<<"\n";ans += ((((b*temp)%M)*solutions(aSize, i+extraB))%M);ans %= M;}cout <<ans<<"\n";}
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: ACCEPTED
input |
---|
5 B.... ..... ..... .A.B. ... |
correct output |
---|
22 |
user output |
---|
22 |
Test 9
Group: 1
Verdict: ACCEPTED
input |
---|
5 B.A.. ....A ..... A.B.. ... |
correct output |
---|
2 |
user output |
---|
2 |
Test 10
Group: 1
Verdict: ACCEPTED
input |
---|
5 A.B.. BA... .B.A. ...BA ... |
correct output |
---|
1 |
user output |
---|
1 |
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: ACCEPTED
input |
---|
499 ................................. |
correct output |
---|
840243733 |
user output |
---|
840243733 |
Test 22
Group: 3
Verdict: ACCEPTED
input |
---|
499 ........................A........ |
correct output |
---|
4146290 |
user output |
---|
4146290 |
Test 23
Group: 3
Verdict: ACCEPTED
input |
---|
499 B.........A...................... |
correct output |
---|
173518884 |
user output |
---|
173518884 |
Test 24
Group: 3
Verdict: ACCEPTED
input |
---|
499 ...A....B........................ |
correct output |
---|
20044800 |
user output |
---|
20044800 |
Test 25
Group: 3
Verdict: ACCEPTED
input |
---|
499 AB............................... |
correct output |
---|
2 |
user output |
---|
2 |
Test 26
Group: 3
Verdict: ACCEPTED
input |
---|
500 ................................. |
correct output |
---|
121064146 |
user output |
---|
121064146 |
Test 27
Group: 3
Verdict: ACCEPTED
input |
---|
500 ................................. |
correct output |
---|
848435259 |
user output |
---|
848435259 |
Test 28
Group: 3
Verdict: ACCEPTED
input |
---|
500 .....B........A.................. |
correct output |
---|
296240911 |
user output |
---|
296240911 |
Test 29
Group: 3
Verdict: ACCEPTED
input |
---|
500 .A......B........................ |
correct output |
---|
2196 |
user output |
---|
2196 |
Test 30
Group: 3
Verdict: ACCEPTED
input |
---|
500 ...AB............................ |
correct output |
---|
1 |
user output |
---|
1 |