oj.uz

Submission #118221

# Submission time Handle Problem Language Result Execution time Memory
118221 2019-06-18T11:30:09 Z sebinkim None (JOI16_solitaire) C++14
100 / 100
 142 ms 35044 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;
		}
	}
 
	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 640 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 3 ms 384 KB Output is correct
9 Correct 2 ms 384 KB Output is correct
10 Correct 4 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 37 ms 13824 KB Output is correct
3 Correct 10 ms 4608 KB Output is correct
4 Correct 55 ms 19320 KB Output is correct
5 Correct 49 ms 17760 KB Output is correct
6 Correct 46 ms 16828 KB Output is correct
7 Correct 32 ms 12672 KB Output is correct
8 Correct 58 ms 19320 KB Output is correct
9 Correct 60 ms 19836 KB Output is correct
10 Correct 32 ms 12280 KB Output is correct
11 Correct 42 ms 14840 KB Output is correct
12 Correct 60 ms 19704 KB Output is correct
13 Correct 75 ms 24184 KB Output is correct
14 Correct 79 ms 24224 KB Output is correct
15 Correct 104 ms 24196 KB Output is correct
16 Correct 77 ms 24184 KB Output is correct
17 Correct 74 ms 24312 KB Output is correct
18 Correct 74 ms 24184 KB Output is correct
19 Correct 74 ms 24188 KB Output is correct
20 Correct 74 ms 24184 KB Output is correct
21 Correct 74 ms 24056 KB Output is correct
22 Correct 75 ms 24252 KB Output is correct
23 Correct 74 ms 24296 KB Output is correct
24 Correct 76 ms 24072 KB Output is correct
25 Correct 76 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 10 ms 512 KB Output is correct
3 Correct 0 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 3 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 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 640 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 3 ms 384 KB Output is correct
9 Correct 2 ms 384 KB Output is correct
10 Correct 4 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 10 ms 512 KB Output is correct
15 Correct 0 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 3 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
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 640 KB Output is correct
38 Correct 3 ms 1072 KB Output is correct
39 Correct 2 ms 640 KB Output is correct
40 Correct 5 ms 1920 KB Output is correct
41 Correct 4 ms 1664 KB Output is correct
42 Correct 4 ms 1792 KB Output is correct
43 Correct 4 ms 1920 KB Output is correct
44 Correct 4 ms 1664 KB Output is correct
45 Correct 4 ms 1792 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
20.0 / 20.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 640 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 3 ms 384 KB Output is correct
9 Correct 2 ms 384 KB Output is correct
10 Correct 4 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 37 ms 13824 KB Output is correct
15 Correct 10 ms 4608 KB Output is correct
16 Correct 55 ms 19320 KB Output is correct
17 Correct 49 ms 17760 KB Output is correct
18 Correct 46 ms 16828 KB Output is correct
19 Correct 32 ms 12672 KB Output is correct
20 Correct 58 ms 19320 KB Output is correct
21 Correct 60 ms 19836 KB Output is correct
22 Correct 32 ms 12280 KB Output is correct
23 Correct 42 ms 14840 KB Output is correct
24 Correct 60 ms 19704 KB Output is correct
25 Correct 75 ms 24184 KB Output is correct
26 Correct 79 ms 24224 KB Output is correct
27 Correct 104 ms 24196 KB Output is correct
28 Correct 77 ms 24184 KB Output is correct
29 Correct 74 ms 24312 KB Output is correct
30 Correct 74 ms 24184 KB Output is correct
31 Correct 74 ms 24188 KB Output is correct
32 Correct 74 ms 24184 KB Output is correct
33 Correct 74 ms 24056 KB Output is correct
34 Correct 75 ms 24252 KB Output is correct
35 Correct 74 ms 24296 KB Output is correct
36 Correct 76 ms 24072 KB Output is correct
37 Correct 76 ms 24184 KB Output is correct
38 Correct 2 ms 512 KB Output is correct
39 Correct 10 ms 512 KB Output is correct
40 Correct 0 ms 384 KB Output is correct
41 Correct 2 ms 512 KB Output is correct
42 Correct 2 ms 512 KB Output is correct
43 Correct 3 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 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 3 ms 640 KB Output is correct
63 Correct 3 ms 1072 KB Output is correct
64 Correct 2 ms 640 KB Output is correct
65 Correct 5 ms 1920 KB Output is correct
66 Correct 4 ms 1664 KB Output is correct
67 Correct 4 ms 1792 KB Output is correct
68 Correct 4 ms 1920 KB Output is correct
69 Correct 4 ms 1664 KB Output is correct
70 Correct 4 ms 1792 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 44 ms 14232 KB Output is correct
75 Correct 12 ms 4608 KB Output is correct
76 Correct 19 ms 7704 KB Output is correct
77 Correct 74 ms 22520 KB Output is correct
78 Correct 80 ms 23096 KB Output is correct
79 Correct 41 ms 14840 KB Output is correct
80 Correct 75 ms 22264 KB Output is correct
81 Correct 61 ms 19104 KB Output is correct
82 Correct 73 ms 22264 KB Output is correct
83 Correct 41 ms 15184 KB Output is correct
84 Correct 36 ms 13688 KB Output is correct
85 Correct 64 ms 19636 KB Output is correct
86 Correct 142 ms 34936 KB Output is correct
87 Correct 135 ms 34784 KB Output is correct
88 Correct 133 ms 34524 KB Output is correct
89 Correct 134 ms 34680 KB Output is correct
90 Correct 138 ms 34524 KB Output is correct
91 Correct 142 ms 35044 KB Output is correct
92 Correct 141 ms 34908 KB Output is correct
93 Correct 140 ms 34680 KB Output is correct
94 Correct 134 ms 34780 KB Output is correct
95 Correct 133 ms 34680 KB Output is correct
96 Correct 138 ms 34680 KB Output is correct
97 Correct 139 ms 34512 KB Output is correct