oj.uz

Submission #117918

# Submission time Handle Problem Language Result Execution time Memory
117918 2019-06-17T12:25:16 Z sebinkim None (JOI16_solitaire) C++14
68 / 100
 2000 ms 8144 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, 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];

					if(j < k + 3 - t1){
						if(t2 == 0){
							dp[i][j] = (dp[i][j] + x * (s1 - k + t1) * (s1 - k + t1 - 1) * (s1 - k + t1 - 2) / 6 * 4) % mod;
							dp[i][j] = (dp[i][j] + x * (k + 3 - t1 - j) * (s1 - k + t1 - 1) * (s1 - k + t1 - 2) / 2 * 2) % mod;
							dp[i][j + 1] = (dp[i][j + 1] + x * j * (s1 - k + t1 - 1) * (s1 - k + t1 - 2) / 2 * 2) % mod;
						}
						else if(t2 == 1){
							dp[i][j] = (dp[i][j] + x * (s1 - k + t1 - 1) * (s1 - k + t1 - 2) / 2) % mod;
						}
					}
					else{
						if(t2 == 0){
							dp[i][j] = (dp[i][j] + x * (s1 - j + 3) * (s1 - j + 2) * (s1 - j + 1) / 6 * 4) % mod;
							dp[i][j + 1] = (dp[i][j + 1] + x * j * (s1 - j + 2) * (s1 - j + 1) / 2 * 2) % mod;
						}
						else if(t2 == 1){
							dp[i][j] = (dp[i][j] + x * (s1 - j + 2) * (s1 - j + 1) / 2) % mod;			
						}
					}
				}
			}

			dp[i][s + 1] = 0;
		}
	}

	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 384 KB Output is correct
3 Correct 2 ms 384 KB Output is correct
4 Correct 2 ms 384 KB Output is correct
5 Correct 3 ms 384 KB Output is correct
6 Correct 2 ms 384 KB Output is correct
7 Correct 2 ms 384 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 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 1060 ms 5768 KB Output is correct
2 Execution timed out 2048 ms 8144 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 512 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 512 KB Output is correct
8 Correct 2 ms 384 KB Output is correct
9 Correct 1 ms 512 KB Output is correct
10 Correct 2 ms 512 KB Output is correct
11 Correct 2 ms 384 KB Output is correct
12 Correct 2 ms 640 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 512 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 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 2 ms 512 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 512 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 384 KB Output is correct
3 Correct 2 ms 384 KB Output is correct
4 Correct 2 ms 384 KB Output is correct
5 Correct 3 ms 384 KB Output is correct
6 Correct 2 ms 384 KB Output is correct
7 Correct 2 ms 384 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 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 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 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 1 ms 512 KB Output is correct
22 Correct 2 ms 512 KB Output is correct
23 Correct 2 ms 384 KB Output is correct
24 Correct 2 ms 640 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 512 KB Output is correct
28 Correct 2 ms 512 KB Output is correct
29 Correct 2 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 2 ms 512 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 512 KB Output is correct
37 Correct 3 ms 640 KB Output is correct
38 Correct 8 ms 1024 KB Output is correct
39 Correct 2 ms 512 KB Output is correct
40 Correct 94 ms 1784 KB Output is correct
41 Correct 23 ms 1664 KB Output is correct
42 Correct 36 ms 1784 KB Output is correct
43 Correct 75 ms 1784 KB Output is correct
44 Correct 21 ms 1664 KB Output is correct
45 Correct 91 ms 1792 KB Output is correct
46 Correct 43 ms 1784 KB Output is correct
47 Correct 60 ms 1784 KB Output is correct
48 Correct 108 ms 1784 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 384 KB Output is correct
3 Correct 2 ms 384 KB Output is correct
4 Correct 2 ms 384 KB Output is correct
5 Correct 3 ms 384 KB Output is correct
6 Correct 2 ms 384 KB Output is correct
7 Correct 2 ms 384 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 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 1060 ms 5768 KB Output is correct
14 Execution timed out 2048 ms 8144 KB Time limit exceeded
15 Halted 0 ms 0 KB -