oj.uz

Submission #118213

# Submission time Handle Problem Language Result Execution time Memory
118213 2019-06-18T11:17:23 Z sebinkim None (JOI16_solitaire) C++14
80 / 100
 2000 ms 24208 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 X1[6060], X2[6060], X3[6060], Y[6060];
ll n, ans;

void die() { printf("0\n"); exit(0); }
 
int main()
{
	ll i, j, k, x, s, s1, s2, t1, t2;
	ll l1, l2, y;
 
	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;
 
			y = 0;
			for(k=0; k<=s; k++){
				y = (y + dp[i - 1][k]) % mod;
			}
 
			for(j=1; j<=s; j++){
				if(t1 == 0) dp[i][j] = (dp[i][j] + y * (j - 1) * (j - 2)) % mod;
				else if(t1 == 1) dp[i][j] = (dp[i][j] + y * (j - 1)) % mod;
				else dp[i][j] = (dp[i][j] + y) % 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;
 
			X1[s + 1] = X2[s + 1] = X3[s + 1] = 0;
			for(k=s; k>=0; k--){
				X1[k] = (X1[k + 1] + dp[i - 2][k] * ((s1 - k + t1) * (s1 - k + t1 - 1) * (s1 - k + t1 - 2) / 6 * 4 % mod)) % mod;
				X2[k] = (X2[k + 1] + dp[i - 2][k] * ((k + 3 - t1) * (s1 - k + t1 - 1) * (s1 - k + t1 - 2) % mod)) % mod;
				X3[k] = (X3[k + 1] + dp[i - 2][k] * (s1 - k + t1 - 1) * (s1 - k + t1 - 2) / 2) % mod;
			}
 
			Y[0] = dp[i - 2][0];
			for(k=1; k<=s; k++){
				Y[k] = (Y[k - 1] + dp[i - 2][k]) % mod;
			}
 
			for(j=1; j<=s; j++){
				if(t1 == 0) x = (j - 1) * (j - 2) % mod;
				else if(t1 == 1) x = (j - 1) % mod;
				else x = 1;
				
				l1 = max(j + t1 - 2, 0ll);
				l2 = max(l1 - 1, 0ll);
 
				if(t2 == 0){
					dp[i][j] = (dp[i][j] + x * X1[l1]) % mod;
					dp[i][j] = (dp[i][j] + x * X2[l1] - j * x % mod * X3[l1] * 2 % mod + mod) % mod;
					dp[i][j + 1] = (dp[i][j + 1] + x * j % mod * X3[l1] * 2) % mod;
 
					dp[i][j] = (dp[i][j] + x * Y[l2] % mod * ((s1 - j + 3) * (s1 - j + 2) * (s1 - j + 1) / 6 * 4) % mod) % mod;
					dp[i][j + 1] = (dp[i][j + 1] + x * Y[l2] % mod * (j * (s1 - j + 2) * (s1 - j + 1) % mod)) % mod;
				}
				else if(t2 == 1){
					dp[i][j] = (dp[i][j] + x * X3[l1]) % mod;
 
					dp[i][j] = (dp[i][j] + x * Y[l2] % mod * (s1 - j + 2) * (s1 - j + 1) / 2) % mod;
				}
			}
 
			dp[i][s + 1] = 0;
		}
		
		for(j=0; j<=s; j++){
			if(dp[i][j] >= mod || dp[i][j] < 0) for(; ; );
		}
	}
 
	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:21:7: 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 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 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 3 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
12.0 / 12.0

# Verdict Execution time Memory Grader output
1 Correct 14 ms 5760 KB Output is correct
2 Correct 37 ms 13796 KB Output is correct
3 Correct 10 ms 4608 KB Output is correct
4 Correct 59 ms 19292 KB Output is correct
5 Correct 51 ms 17756 KB Output is correct
6 Correct 53 ms 17016 KB Output is correct
7 Correct 33 ms 12664 KB Output is correct
8 Correct 59 ms 19320 KB Output is correct
9 Correct 63 ms 19832 KB Output is correct
10 Correct 31 ms 12152 KB Output is correct
11 Correct 40 ms 14840 KB Output is correct
12 Correct 58 ms 19704 KB Output is correct
13 Correct 78 ms 24184 KB Output is correct
14 Correct 77 ms 24184 KB Output is correct
15 Correct 79 ms 24184 KB Output is correct
16 Correct 77 ms 24120 KB Output is correct
17 Correct 78 ms 24184 KB Output is correct
18 Correct 77 ms 24184 KB Output is correct
19 Correct 78 ms 24184 KB Output is correct
20 Correct 78 ms 24208 KB Output is correct
21 Correct 77 ms 24056 KB Output is correct
22 Correct 77 ms 24184 KB Output is correct
23 Correct 78 ms 24184 KB Output is correct
24 Correct 81 ms 24184 KB Output is correct
25 Correct 80 ms 24184 KB Output is correct

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 3 ms 512 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 512 KB Output is correct
7 Correct 2 ms 512 KB Output is correct
8 Correct 2 ms 512 KB Output is correct
9 Correct 2 ms 512 KB Output is correct
10 Correct 3 ms 512 KB Output is correct
11 Correct 2 ms 512 KB Output is correct
12 Correct 2 ms 512 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 2 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 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 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 3 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 3 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
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 2 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 768 KB Output is correct
38 Correct 3 ms 1024 KB Output is correct
39 Correct 2 ms 512 KB Output is correct
40 Correct 5 ms 1920 KB Output is correct
41 Correct 4 ms 1792 KB Output is correct
42 Correct 4 ms 1792 KB Output is correct
43 Correct 5 ms 1920 KB Output is correct
44 Correct 4 ms 1664 KB Output is correct
45 Correct 4 ms 1920 KB Output is correct
46 Correct 4 ms 1792 KB Output is correct
47 Correct 4 ms 1792 KB Output is correct
48 Correct 5 ms 1920 KB Output is correct

Subtask #5
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 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 3 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 14 ms 5760 KB Output is correct
14 Correct 37 ms 13796 KB Output is correct
15 Correct 10 ms 4608 KB Output is correct
16 Correct 59 ms 19292 KB Output is correct
17 Correct 51 ms 17756 KB Output is correct
18 Correct 53 ms 17016 KB Output is correct
19 Correct 33 ms 12664 KB Output is correct
20 Correct 59 ms 19320 KB Output is correct
21 Correct 63 ms 19832 KB Output is correct
22 Correct 31 ms 12152 KB Output is correct
23 Correct 40 ms 14840 KB Output is correct
24 Correct 58 ms 19704 KB Output is correct
25 Correct 78 ms 24184 KB Output is correct
26 Correct 77 ms 24184 KB Output is correct
27 Correct 79 ms 24184 KB Output is correct
28 Correct 77 ms 24120 KB Output is correct
29 Correct 78 ms 24184 KB Output is correct
30 Correct 77 ms 24184 KB Output is correct
31 Correct 78 ms 24184 KB Output is correct
32 Correct 78 ms 24208 KB Output is correct
33 Correct 77 ms 24056 KB Output is correct
34 Correct 77 ms 24184 KB Output is correct
35 Correct 78 ms 24184 KB Output is correct
36 Correct 81 ms 24184 KB Output is correct
37 Correct 80 ms 24184 KB Output is correct
38 Correct 2 ms 512 KB Output is correct
39 Correct 2 ms 512 KB Output is correct
40 Correct 3 ms 512 KB Output is correct
41 Correct 2 ms 512 KB Output is correct
42 Correct 2 ms 512 KB Output is correct
43 Correct 2 ms 512 KB Output is correct
44 Correct 2 ms 512 KB Output is correct
45 Correct 2 ms 512 KB Output is correct
46 Correct 2 ms 512 KB Output is correct
47 Correct 3 ms 512 KB Output is correct
48 Correct 2 ms 512 KB Output is correct
49 Correct 2 ms 512 KB Output is correct
50 Correct 2 ms 512 KB Output is correct
51 Correct 2 ms 512 KB Output is correct
52 Correct 2 ms 512 KB Output is correct
53 Correct 2 ms 512 KB Output is correct
54 Correct 2 ms 512 KB Output is correct
55 Correct 2 ms 512 KB Output is correct
56 Correct 2 ms 512 KB Output is correct
57 Correct 2 ms 512 KB Output is correct
58 Correct 2 ms 512 KB Output is correct
59 Correct 2 ms 512 KB Output is correct
60 Correct 2 ms 512 KB Output is correct
61 Correct 2 ms 512 KB Output is correct
62 Correct 3 ms 768 KB Output is correct
63 Correct 3 ms 1024 KB Output is correct
64 Correct 2 ms 512 KB Output is correct
65 Correct 5 ms 1920 KB Output is correct
66 Correct 4 ms 1792 KB Output is correct
67 Correct 4 ms 1792 KB Output is correct
68 Correct 5 ms 1920 KB Output is correct
69 Correct 4 ms 1664 KB Output is correct
70 Correct 4 ms 1920 KB Output is correct
71 Correct 4 ms 1792 KB Output is correct
72 Correct 4 ms 1792 KB Output is correct
73 Correct 5 ms 1920 KB Output is correct
74 Correct 43 ms 14200 KB Output is correct
75 Correct 12 ms 4608 KB Output is correct
76 Correct 19 ms 7680 KB Output is correct
77 Execution timed out 2045 ms 17656 KB Time limit exceeded
78 Halted 0 ms 0 KB -