oj.uz

Submission #117913

# Submission time Handle Problem Language Result Execution time Memory
117913 2019-06-17T12:11:23 Z sebinkim None (JOI16_solitaire) C++14
68 / 100
 2000 ms 8296 KB 
#include <bits/stdc++.h>

using namespace std;

typedef long long ll;

const ll mod = 1e9 + 7;

char A[2020], B[2020], C[2020];
ll dp[2020][6060], S[2020];
ll n, ans;

void die() { printf("0\n"); exit(0); }

int main()
{
	ll i, j, k, l, x, s, s1, s2, t1, t2;

	scanf("%lld%s%s%s", &n, A + 1, B + 1, C + 1);

	if(A[1] == 'x' || A[n] == 'x') die();
	if(C[1] == 'x' || C[n] == 'x') die();

	for(i=1; i<n; i++){
		if(A[i] == 'x' && A[i + 1] == 'x') die();
		if(C[i] == 'x' && C[i + 1] == 'x') die();
	}

	dp[0][0] = 1;

	for(i=1; i<=n; i++){
		S[i] = S[i - 1] + (A[i] == 'x') + (B[i] == 'x') + (C[i] == 'x');
		s = S[i];

		if(B[i] == 'o'){
			if(A[i] == 'x' && C[i] == 'x') t1 = 0;
			else if(A[i] == 'x' || C[i] == 'x') t1 = 1;
			else t1 = 2;

			for(k=0; k<=s; k++){
				if(t1 == 0) dp[i][0] = (dp[i][0] + dp[i - 1][k] * s * (s - 1)) % mod;
				else if(t1 == 1) dp[i][0] = (dp[i][0] + dp[i - 1][k] * s) % mod;
				else dp[i][0] = (dp[i][0] + dp[i - 1][k]) % mod;
			}

			if(B[i - 1] == 'o' || i < 3) continue;

			s2 = S[i - 2];
			if(A[i - 1] == 'x' && C[i - 1] == 'x') t2 = 0;
			else if(A[i - 1] == 'x' || C[i - 1] == 'x') t2 = 1;
			else t2 = 2;

			for(k=0; k<=s; k++){
				if(t2 == 0){
					x = k * (s2 - k + 2) * (s2 - k + 1) / 2 * 2 % mod;
					x = (x + (s2 - k + 3) * (s2 - k + 2) * (s2 - k + 1) / 6 * 4) % mod;
				}
				else if(t2 == 1) x = (s2 - k + 2) * (s2 - k + 1) / 2 % mod;
				else x = 0;

				x = x * dp[i - 2][k] % mod;

				if(t1 == 0) dp[i][0] = (dp[i][0] + x * s * (s - 1)) % mod;
				else if(t1 == 1) dp[i][0] = (dp[i][0] + x * s) % mod;
				else dp[i][0] = (dp[i][0] + x) % mod;
			}
		}
		else{
			if(A[i] == 'x' && C[i] == 'x') t1 = 0;
			else if(A[i] == 'x' || C[i] == 'x') t1 = 1;
			else t1 = 2;

			for(j=1; j<=s; j++){
				for(k=0; k<=s; k++){
					if(t1 == 0) dp[i][j] = (dp[i][j] + dp[i - 1][k] * (j - 1) * (j - 2)) % mod;
					else if(t1 == 1) dp[i][j] = (dp[i][j] + dp[i - 1][k] * (j - 1)) % mod;
					else dp[i][j] = (dp[i][j] + dp[i - 1][k]) % mod;
				}
			}

			if(B[i - 1] == 'o' || i < 3) continue;

			s2 = S[i - 2];
			s1 = s2 + S[i] - S[i - 1];
			if(A[i - 1] == 'x' && C[i - 1] == 'x') t2 = 0;
			else if(A[i - 1] == 'x' || C[i - 1] == 'x') t2 = 1;
			else t2 = 2;

			for(j=1; j<=s; j++){
				for(k=0; k<=s; k++){
					if(t1 == 0) x = dp[i - 2][k] * (j - 1) * (j - 2) % mod;
					else if(t1 == 1) x = dp[i - 2][k] * (j - 1) % mod;
					else x = dp[i - 2][k];

					l = max(j, k + 3 - t1);

					if(t2 == 0){
						dp[i][j] = (dp[i][j] + x * (s1 - l + 3) * (s1 - l + 2) * (s1 - l + 1) / 6 * 4) % mod;
						if(j < l) dp[i][j] = (dp[i][j] + x * (l - j) * (s1 - l + 2) * (s1 - l + 1) / 2 * 2) % mod;
						if(j < s) dp[i][j + 1] = (dp[i][j + 1] + x * j * (s1 - l + 2) * (s1 - l + 1) / 2 * 2) % mod;
					}
					else if(t2 == 1) dp[i][j] = (dp[i][j] + x * (s1 - l + 2) * (s1 - l + 1) / 2) % mod;
				}
			}
		}
	}

	s = S[n];

	for(i=0; i<=s; i++){
		ans = (ans + dp[n][i]) % mod;
	}

	printf("%lld\n", ans);

	return 0;
}

Compilation message

solitaire.cpp: In function 'int main()':
solitaire.cpp:19:7: warning: ignoring return value of 'int scanf(const char*, ...)', declared with attribute warn_unused_result [-Wunused-result]
  scanf("%lld%s%s%s", &n, A + 1, B + 1, C + 1);
  ~~~~~^~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

Subtask #1
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 384 KB Output is correct
2 Correct 2 ms 512 KB Output is correct
3 Correct 2 ms 384 KB Output is correct
4 Correct 2 ms 384 KB Output is correct
5 Correct 2 ms 512 KB Output is correct
6 Correct 2 ms 384 KB Output is correct
7 Correct 2 ms 384 KB Output is correct
8 Correct 9 ms 384 KB Output is correct
9 Correct 2 ms 384 KB Output is correct
10 Correct 2 ms 384 KB Output is correct
11 Correct 2 ms 384 KB Output is correct
12 Correct 2 ms 384 KB Output is correct

Subtask #2
0 / 12.0

# Verdict Execution time Memory Grader output
1 Correct 1055 ms 5776 KB Output is correct
2 Execution timed out 2048 ms 8296 KB Time limit exceeded
3 Halted 0 ms 0 KB -

Subtask #3
20.0 / 20.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 384 KB Output is correct
2 Correct 2 ms 384 KB Output is correct
3 Correct 2 ms 384 KB Output is correct
4 Correct 2 ms 512 KB Output is correct
5 Correct 2 ms 512 KB Output is correct
6 Correct 2 ms 384 KB Output is correct
7 Correct 2 ms 512 KB Output is correct
8 Correct 2 ms 384 KB Output is correct
9 Correct 2 ms 384 KB Output is correct
10 Correct 2 ms 512 KB Output is correct
11 Correct 2 ms 384 KB Output is correct
12 Correct 3 ms 384 KB Output is correct
13 Correct 2 ms 512 KB Output is correct
14 Correct 2 ms 512 KB Output is correct
15 Correct 2 ms 384 KB Output is correct
16 Correct 2 ms 384 KB Output is correct
17 Correct 3 ms 512 KB Output is correct
18 Correct 2 ms 512 KB Output is correct
19 Correct 2 ms 512 KB Output is correct
20 Correct 2 ms 512 KB Output is correct
21 Correct 4 ms 640 KB Output is correct
22 Correct 3 ms 512 KB Output is correct
23 Correct 2 ms 512 KB Output is correct
24 Correct 2 ms 384 KB Output is correct

Subtask #4
38.0 / 38.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 384 KB Output is correct
2 Correct 2 ms 512 KB Output is correct
3 Correct 2 ms 384 KB Output is correct
4 Correct 2 ms 384 KB Output is correct
5 Correct 2 ms 512 KB Output is correct
6 Correct 2 ms 384 KB Output is correct
7 Correct 2 ms 384 KB Output is correct
8 Correct 9 ms 384 KB Output is correct
9 Correct 2 ms 384 KB Output is correct
10 Correct 2 ms 384 KB Output is correct
11 Correct 2 ms 384 KB Output is correct
12 Correct 2 ms 384 KB Output is correct
13 Correct 2 ms 384 KB Output is correct
14 Correct 2 ms 384 KB Output is correct
15 Correct 2 ms 384 KB Output is correct
16 Correct 2 ms 512 KB Output is correct
17 Correct 2 ms 512 KB Output is correct
18 Correct 2 ms 384 KB Output is correct
19 Correct 2 ms 512 KB Output is correct
20 Correct 2 ms 384 KB Output is correct
21 Correct 2 ms 384 KB Output is correct
22 Correct 2 ms 512 KB Output is correct
23 Correct 2 ms 384 KB Output is correct
24 Correct 3 ms 384 KB Output is correct
25 Correct 2 ms 512 KB Output is correct
26 Correct 2 ms 512 KB Output is correct
27 Correct 2 ms 384 KB Output is correct
28 Correct 2 ms 384 KB Output is correct
29 Correct 3 ms 512 KB Output is correct
30 Correct 2 ms 512 KB Output is correct
31 Correct 2 ms 512 KB Output is correct
32 Correct 2 ms 512 KB Output is correct
33 Correct 4 ms 640 KB Output is correct
34 Correct 3 ms 512 KB Output is correct
35 Correct 2 ms 512 KB Output is correct
36 Correct 2 ms 384 KB Output is correct
37 Correct 3 ms 768 KB Output is correct
38 Correct 8 ms 1152 KB Output is correct
39 Correct 3 ms 512 KB Output is correct
40 Correct 96 ms 1884 KB Output is correct
41 Correct 25 ms 1660 KB Output is correct
42 Correct 35 ms 1656 KB Output is correct
43 Correct 76 ms 1848 KB Output is correct
44 Correct 24 ms 1664 KB Output is correct
45 Correct 90 ms 1912 KB Output is correct
46 Correct 43 ms 1784 KB Output is correct
47 Correct 59 ms 1788 KB Output is correct
48 Correct 107 ms 1912 KB Output is correct

Subtask #5
0 / 20.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 384 KB Output is correct
2 Correct 2 ms 512 KB Output is correct
3 Correct 2 ms 384 KB Output is correct
4 Correct 2 ms 384 KB Output is correct
5 Correct 2 ms 512 KB Output is correct
6 Correct 2 ms 384 KB Output is correct
7 Correct 2 ms 384 KB Output is correct
8 Correct 9 ms 384 KB Output is correct
9 Correct 2 ms 384 KB Output is correct
10 Correct 2 ms 384 KB Output is correct
11 Correct 2 ms 384 KB Output is correct
12 Correct 2 ms 384 KB Output is correct
13 Correct 1055 ms 5776 KB Output is correct
14 Execution timed out 2048 ms 8296 KB Time limit exceeded
15 Halted 0 ms 0 KB -