oj.uz

Submission #118219

# Submission time Handle Problem Language Result Execution time Memory
118219 2019-06-18T11:27:44 Z sebinkim None (JOI16_solitaire) C++14
80 / 100
 92 ms 35192 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;
					if(dp[i][j] < 0) return 1 / 0;
				}
				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;
					if(dp[i][j] < 0) for(; ; );
				}
			}
 
			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:121:32: warning: division by zero [-Wdiv-by-zero]
      if(dp[i][j] < 0) return 1 / 0;
                              ~~^~~
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 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 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 356 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 13 ms 5760 KB Output is correct
2 Correct 38 ms 13808 KB Output is correct
3 Correct 9 ms 4608 KB Output is correct
4 Correct 56 ms 19320 KB Output is correct
5 Correct 50 ms 17784 KB Output is correct
6 Correct 46 ms 16888 KB Output is correct
7 Correct 32 ms 12540 KB Output is correct
8 Correct 56 ms 19320 KB Output is correct
9 Correct 58 ms 19832 KB Output is correct
10 Correct 30 ms 12280 KB Output is correct
11 Correct 39 ms 14840 KB Output is correct
12 Correct 58 ms 19704 KB Output is correct
13 Correct 75 ms 24184 KB Output is correct
14 Correct 77 ms 24312 KB Output is correct
15 Correct 75 ms 24184 KB Output is correct
16 Correct 80 ms 24184 KB Output is correct
17 Correct 78 ms 24184 KB Output is correct
18 Correct 80 ms 24184 KB Output is correct
19 Correct 79 ms 24184 KB Output is correct
20 Correct 76 ms 24184 KB Output is correct
21 Correct 79 ms 24184 KB Output is correct
22 Correct 77 ms 24256 KB Output is correct
23 Correct 76 ms 24184 KB Output is correct
24 Correct 76 ms 24184 KB Output is correct
25 Correct 76 ms 24056 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 2 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 3 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 2 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 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 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 356 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 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 3 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
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 2 ms 640 KB Output is correct
38 Correct 3 ms 1152 KB Output is correct
39 Correct 2 ms 640 KB Output is correct
40 Correct 4 ms 1920 KB Output is correct
41 Correct 3 ms 1664 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 4 ms 1920 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 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 356 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 13 ms 5760 KB Output is correct
14 Correct 38 ms 13808 KB Output is correct
15 Correct 9 ms 4608 KB Output is correct
16 Correct 56 ms 19320 KB Output is correct
17 Correct 50 ms 17784 KB Output is correct
18 Correct 46 ms 16888 KB Output is correct
19 Correct 32 ms 12540 KB Output is correct
20 Correct 56 ms 19320 KB Output is correct
21 Correct 58 ms 19832 KB Output is correct
22 Correct 30 ms 12280 KB Output is correct
23 Correct 39 ms 14840 KB Output is correct
24 Correct 58 ms 19704 KB Output is correct
25 Correct 75 ms 24184 KB Output is correct
26 Correct 77 ms 24312 KB Output is correct
27 Correct 75 ms 24184 KB Output is correct
28 Correct 80 ms 24184 KB Output is correct
29 Correct 78 ms 24184 KB Output is correct
30 Correct 80 ms 24184 KB Output is correct
31 Correct 79 ms 24184 KB Output is correct
32 Correct 76 ms 24184 KB Output is correct
33 Correct 79 ms 24184 KB Output is correct
34 Correct 77 ms 24256 KB Output is correct
35 Correct 76 ms 24184 KB Output is correct
36 Correct 76 ms 24184 KB Output is correct
37 Correct 76 ms 24056 KB Output is correct
38 Correct 2 ms 512 KB Output is correct
39 Correct 2 ms 512 KB Output is correct
40 Correct 2 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 3 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 2 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 2 ms 640 KB Output is correct
63 Correct 3 ms 1152 KB Output is correct
64 Correct 2 ms 640 KB Output is correct
65 Correct 4 ms 1920 KB Output is correct
66 Correct 3 ms 1664 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 4 ms 1920 KB Output is correct
74 Correct 46 ms 14208 KB Output is correct
75 Correct 12 ms 4608 KB Output is correct
76 Correct 20 ms 7672 KB Output is correct
77 Runtime error 92 ms 35192 KB Execution killed with signal 4 (could be triggered by violating memory limits)
78 Halted 0 ms 0 KB -