#include<bits/stdc++.h>
using namespace std;
typedef pair<int, int> pii;
const int mod = 1e9 + 7;
const int MN = 6010;
int exp(int x, int n) {
int ret = 1;
while(n) {
if(n & 1) ret = 1LL * ret * x % mod;
x = 1LL * x * x % mod;
n >>= 1;
}
return ret;
}
int inv(int x) {
return exp(x, mod - 2);
}
int fact[MN], invf[MN];
int comb(int n, int k) {
if(n < k) return 0;
return 1LL * fact[n] * invf[k] % mod * invf[n - k] % mod;
}
int H(int n, int k) {
if(k == 0) return 1;
return comb(n + k - 1, k);
}
int N, L, R;
char G[3][MN];
int psum[MN];
int calc(int l, int r) {
if(l > r) return 0;
return psum[r] - (l? psum[l - 1] : 0);
}
int dp1(int t, int r, int pre);
vector<vector<int> > cc3[3][3];
int dp3(int a, int b, int r, int pre) {
int &ret = cc3[a][b][r][pre];
if(ret != -1) return ret;
int tr = L + r;
int rem = calc(L, tr - 1);
if(rem < pre) return ret = 0;
ret = 0;
if(pre < rem) {
ret += dp3(a, b, r, pre + 1);
ret %= mod;
}
ret += 1LL * dp1(1, r - 1, pre) * fact[a] % mod * fact[b] % mod * H(pre + 1, a) % mod * H(rem - pre + 1, b) % mod;
ret %= mod;
return ret;
}
vector<vector<int> > cc2[3][3];
int dp2(int a, int b, int r, int pre) {
if(pre < 0) return 0;
int &ret = cc2[a][b][r][pre];
if(ret != -1) return ret;
int tr = L + r;
int rem = calc(L, tr - 1);
ret = 0;
if(pre) {
ret += dp2(a, b, r, pre - 1);
ret %= mod;
}
ret += 1LL * dp1(0, r - 1, pre) * fact[a] % mod * fact[b] % mod * H(pre + 1, a) % mod * H(rem - pre + 1, b) % mod;
ret %= mod;
return ret;
}
vector<vector<int> > cc1[2];
int dp1(int t, int r, int pre) {
if(r == -1) {
if(L) return pre == 0;
else return pre == 0 && t == 0;
}
int &ret = cc1[t][r][pre];
if(ret != -1) return ret;
int tr = r + L;
int rem = calc(L, tr - 1);
int cnt = (G[0][tr] == 'x') + (G[2][tr] == 'x');
ret = 0;
if(t) {
ret += dp2(cnt, 0, r, min(rem, pre - 1 - cnt)) % mod;
ret %= mod;
return ret;
}
else {
ret += dp2(cnt, 0, r, rem);
ret %= mod;
for(int i = 0; i < cnt; i++) {
ret += 1LL * comb(cnt, i) * dp3(i, cnt - i, r, max(0, pre - i)) % mod;
ret %= mod;
}
return ret;
}
}
int proc(int l, int r) {
L = l;
R = r;
int tot = 0;
for(int i = 0; i < 3; i++) {
for(int j = L; j <= R; j++) {
tot += G[i][j] == 'x';
}
}
cc1[0] = cc1[1] = vector<vector<int> >(R - L + 1, vector<int>(MN, -1));
for(int i = 0; i < 3; i++) {
for(int j = 0; j < 3; j++) {
cc2[i][j] = cc3[i][j] = vector<vector<int> >(R - L + 1, vector<int>(MN, -1));
}
}
int ret;
if(r == N - 1) ret = dp1(0, R - L, tot);
else ret = dp1(0, R - L, 0);
//cout << l << ' ' << r << ' ' << ret << endl;
return ret;
}
int main() {
fact[0] = 1;
for(int i = 1; i < MN; i++) {
fact[i] = 1LL * fact[i - 1] * i % mod;
}
for(int i = 0; i < MN; i++) {
invf[i] = inv(fact[i]);
}
scanf("%d", &N);
int sum = 0;
for(int i = 0; i < 3; i++) {
scanf("\n");
for(int j = 0; j < N; j++) {
scanf("%c", &G[i][j]);
if(G[i][j] == 'x') sum++;
}
}
for(int i = 0; i < N; i++) {
for(int j = 0; j < 3; j++) {
psum[i] += G[j][i] == 'x';
}
if(i) psum[i] += psum[i - 1];
}
if(G[0][0] == 'x' || G[0][N - 1] == 'x' || G[2][0] == 'x' || G[2][N - 1] == 'x') {
printf("0");
return 0;
}
for(int i = 0; i < N - 1; i++) {
if(G[0][i] == 'x' && G[0][i + 1] == 'x') {
printf("0");
return 0;
}
if(G[2][i] == 'x' && G[2][i + 1] == 'x') {
printf("0");
return 0;
}
}
vector<int> ind;
vector<pii> prob;
int s = 0;
for(int i = 0; i < N; i++) {
if(G[1][i] == 'o') {
if(s < i) {
int cnt = 0;
for(int j = s; j < i; j++) {
for(int k = 0; k < 3; k++) cnt += G[k][j] == 'x';
}
ind.push_back(cnt);
prob.push_back(pii(s, i - 1));
}
s = i + 1;
}
}
if(s < N) {
int cnt = 0;
for(int j = s; j < N; j++) {
for(int k = 0; k < 3; k++) cnt += G[k][j] == 'x';
}
ind.push_back(cnt);
prob.push_back(pii(s, N - 1));
}
int ans = fact[sum];
for(int i = 0; i < ind.size(); i++) {
ans = 1LL * ans * invf[ ind[i] ] % mod;
}
for(int i = 0; i < prob.size(); i++) {
ans = 1LL * ans * proc(prob[i].first, prob[i].second) % mod;
}
printf("%d", ans);
}
Compilation message
solitaire.cpp: In function 'int main()':
solitaire.cpp:208:22: warning: comparison between signed and unsigned integer expressions [-Wsign-compare]
for(int i = 0; i < ind.size(); i++) {
~~^~~~~~~~~~~~
solitaire.cpp:211:22: warning: comparison between signed and unsigned integer expressions [-Wsign-compare]
for(int i = 0; i < prob.size(); i++) {
~~^~~~~~~~~~~~~
solitaire.cpp:149:10: warning: ignoring return value of 'int scanf(const char*, ...)', declared with attribute warn_unused_result [-Wunused-result]
scanf("%d", &N);
~~~~~^~~~~~~~~~
solitaire.cpp:153:14: warning: ignoring return value of 'int scanf(const char*, ...)', declared with attribute warn_unused_result [-Wunused-result]
scanf("\n");
~~~~~^~~~~~
solitaire.cpp:155:18: warning: ignoring return value of 'int scanf(const char*, ...)', declared with attribute warn_unused_result [-Wunused-result]
scanf("%c", &G[i][j]);
~~~~~^~~~~~~~~~~~~~~~
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
5 ms |
2780 KB |
Output is correct |
2 |
Correct |
5 ms |
2296 KB |
Output is correct |
3 |
Correct |
4 ms |
888 KB |
Output is correct |
4 |
Correct |
5 ms |
1884 KB |
Output is correct |
5 |
Correct |
6 ms |
2296 KB |
Output is correct |
6 |
Correct |
5 ms |
2296 KB |
Output is correct |
7 |
Correct |
5 ms |
1912 KB |
Output is correct |
8 |
Correct |
6 ms |
3264 KB |
Output is correct |
9 |
Correct |
5 ms |
2808 KB |
Output is correct |
10 |
Correct |
6 ms |
3260 KB |
Output is correct |
11 |
Correct |
6 ms |
3320 KB |
Output is correct |
12 |
Correct |
5 ms |
2808 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
58 ms |
7080 KB |
Output is correct |
2 |
Correct |
71 ms |
5224 KB |
Output is correct |
3 |
Correct |
26 ms |
3708 KB |
Output is correct |
4 |
Correct |
137 ms |
6720 KB |
Output is correct |
5 |
Correct |
89 ms |
5720 KB |
Output is correct |
6 |
Correct |
85 ms |
5768 KB |
Output is correct |
7 |
Correct |
66 ms |
3220 KB |
Output is correct |
8 |
Correct |
138 ms |
8756 KB |
Output is correct |
9 |
Correct |
150 ms |
9492 KB |
Output is correct |
10 |
Correct |
60 ms |
3796 KB |
Output is correct |
11 |
Correct |
87 ms |
4728 KB |
Output is correct |
12 |
Correct |
123 ms |
8652 KB |
Output is correct |
13 |
Correct |
335 ms |
160468 KB |
Output is correct |
14 |
Correct |
351 ms |
204128 KB |
Output is correct |
15 |
Runtime error |
348 ms |
262148 KB |
Execution killed with signal 9 (could be triggered by violating memory limits) |
16 |
Halted |
0 ms |
0 KB |
- |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
6 ms |
2816 KB |
Output is correct |
2 |
Correct |
6 ms |
3320 KB |
Output is correct |
3 |
Correct |
7 ms |
2872 KB |
Output is correct |
4 |
Correct |
6 ms |
1852 KB |
Output is correct |
5 |
Correct |
5 ms |
1848 KB |
Output is correct |
6 |
Correct |
6 ms |
2812 KB |
Output is correct |
7 |
Correct |
7 ms |
3328 KB |
Output is correct |
8 |
Correct |
6 ms |
2808 KB |
Output is correct |
9 |
Correct |
5 ms |
1912 KB |
Output is correct |
10 |
Correct |
6 ms |
2856 KB |
Output is correct |
11 |
Correct |
5 ms |
2296 KB |
Output is correct |
12 |
Correct |
6 ms |
3192 KB |
Output is correct |
13 |
Correct |
15 ms |
14584 KB |
Output is correct |
14 |
Correct |
16 ms |
14560 KB |
Output is correct |
15 |
Correct |
15 ms |
14584 KB |
Output is correct |
16 |
Correct |
15 ms |
14584 KB |
Output is correct |
17 |
Correct |
16 ms |
14608 KB |
Output is correct |
18 |
Correct |
15 ms |
14584 KB |
Output is correct |
19 |
Correct |
15 ms |
14584 KB |
Output is correct |
20 |
Correct |
16 ms |
14584 KB |
Output is correct |
21 |
Correct |
15 ms |
14584 KB |
Output is correct |
22 |
Correct |
16 ms |
14504 KB |
Output is correct |
23 |
Correct |
15 ms |
14556 KB |
Output is correct |
24 |
Correct |
16 ms |
14592 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
5 ms |
2780 KB |
Output is correct |
2 |
Correct |
5 ms |
2296 KB |
Output is correct |
3 |
Correct |
4 ms |
888 KB |
Output is correct |
4 |
Correct |
5 ms |
1884 KB |
Output is correct |
5 |
Correct |
6 ms |
2296 KB |
Output is correct |
6 |
Correct |
5 ms |
2296 KB |
Output is correct |
7 |
Correct |
5 ms |
1912 KB |
Output is correct |
8 |
Correct |
6 ms |
3264 KB |
Output is correct |
9 |
Correct |
5 ms |
2808 KB |
Output is correct |
10 |
Correct |
6 ms |
3260 KB |
Output is correct |
11 |
Correct |
6 ms |
3320 KB |
Output is correct |
12 |
Correct |
5 ms |
2808 KB |
Output is correct |
13 |
Correct |
6 ms |
2816 KB |
Output is correct |
14 |
Correct |
6 ms |
3320 KB |
Output is correct |
15 |
Correct |
7 ms |
2872 KB |
Output is correct |
16 |
Correct |
6 ms |
1852 KB |
Output is correct |
17 |
Correct |
5 ms |
1848 KB |
Output is correct |
18 |
Correct |
6 ms |
2812 KB |
Output is correct |
19 |
Correct |
7 ms |
3328 KB |
Output is correct |
20 |
Correct |
6 ms |
2808 KB |
Output is correct |
21 |
Correct |
5 ms |
1912 KB |
Output is correct |
22 |
Correct |
6 ms |
2856 KB |
Output is correct |
23 |
Correct |
5 ms |
2296 KB |
Output is correct |
24 |
Correct |
6 ms |
3192 KB |
Output is correct |
25 |
Correct |
15 ms |
14584 KB |
Output is correct |
26 |
Correct |
16 ms |
14560 KB |
Output is correct |
27 |
Correct |
15 ms |
14584 KB |
Output is correct |
28 |
Correct |
15 ms |
14584 KB |
Output is correct |
29 |
Correct |
16 ms |
14608 KB |
Output is correct |
30 |
Correct |
15 ms |
14584 KB |
Output is correct |
31 |
Correct |
15 ms |
14584 KB |
Output is correct |
32 |
Correct |
16 ms |
14584 KB |
Output is correct |
33 |
Correct |
15 ms |
14584 KB |
Output is correct |
34 |
Correct |
16 ms |
14504 KB |
Output is correct |
35 |
Correct |
15 ms |
14556 KB |
Output is correct |
36 |
Correct |
16 ms |
14592 KB |
Output is correct |
37 |
Correct |
6 ms |
1448 KB |
Output is correct |
38 |
Correct |
10 ms |
2328 KB |
Output is correct |
39 |
Correct |
7 ms |
3192 KB |
Output is correct |
40 |
Correct |
23 ms |
7528 KB |
Output is correct |
41 |
Correct |
12 ms |
2352 KB |
Output is correct |
42 |
Correct |
13 ms |
2848 KB |
Output is correct |
43 |
Correct |
21 ms |
4612 KB |
Output is correct |
44 |
Correct |
14 ms |
2388 KB |
Output is correct |
45 |
Correct |
25 ms |
6624 KB |
Output is correct |
46 |
Correct |
21 ms |
5144 KB |
Output is correct |
47 |
Correct |
17 ms |
4664 KB |
Output is correct |
48 |
Correct |
28 ms |
4788 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
5 ms |
2780 KB |
Output is correct |
2 |
Correct |
5 ms |
2296 KB |
Output is correct |
3 |
Correct |
4 ms |
888 KB |
Output is correct |
4 |
Correct |
5 ms |
1884 KB |
Output is correct |
5 |
Correct |
6 ms |
2296 KB |
Output is correct |
6 |
Correct |
5 ms |
2296 KB |
Output is correct |
7 |
Correct |
5 ms |
1912 KB |
Output is correct |
8 |
Correct |
6 ms |
3264 KB |
Output is correct |
9 |
Correct |
5 ms |
2808 KB |
Output is correct |
10 |
Correct |
6 ms |
3260 KB |
Output is correct |
11 |
Correct |
6 ms |
3320 KB |
Output is correct |
12 |
Correct |
5 ms |
2808 KB |
Output is correct |
13 |
Correct |
58 ms |
7080 KB |
Output is correct |
14 |
Correct |
71 ms |
5224 KB |
Output is correct |
15 |
Correct |
26 ms |
3708 KB |
Output is correct |
16 |
Correct |
137 ms |
6720 KB |
Output is correct |
17 |
Correct |
89 ms |
5720 KB |
Output is correct |
18 |
Correct |
85 ms |
5768 KB |
Output is correct |
19 |
Correct |
66 ms |
3220 KB |
Output is correct |
20 |
Correct |
138 ms |
8756 KB |
Output is correct |
21 |
Correct |
150 ms |
9492 KB |
Output is correct |
22 |
Correct |
60 ms |
3796 KB |
Output is correct |
23 |
Correct |
87 ms |
4728 KB |
Output is correct |
24 |
Correct |
123 ms |
8652 KB |
Output is correct |
25 |
Correct |
335 ms |
160468 KB |
Output is correct |
26 |
Correct |
351 ms |
204128 KB |
Output is correct |
27 |
Runtime error |
348 ms |
262148 KB |
Execution killed with signal 9 (could be triggered by violating memory limits) |
28 |
Halted |
0 ms |
0 KB |
- |