답안 #117931

#	제출 시각	아이디	문제	언어	결과	실행 시간	메모리
117931	2019-06-17T12:52:45 Z	sebinkim	Solitaire (JOI16_solitaire)	C++14	80 / 100	77 ms	24184 KB

solitaire

#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) % mod * (s1 - k + t1 - 1) * (s1 - k + t1 - 2)) % 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 * X3[l1] * 2) % mod;
					dp[i][j + 1] = (dp[i][j + 1] + x * j * 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;
	}

	ans = (ans + mod) % 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

#	결과	실행 시간	메모리	Grader output
1	Correct	2 ms	384 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	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	8 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

#	결과	실행 시간	메모리	Grader output
1	Correct	13 ms	5760 KB	Output is correct
2	Correct	36 ms	13816 KB	Output is correct
3	Correct	10 ms	4608 KB	Output is correct
4	Correct	57 ms	19320 KB	Output is correct
5	Correct	52 ms	17784 KB	Output is correct
6	Correct	51 ms	16888 KB	Output is correct
7	Correct	32 ms	12664 KB	Output is correct
8	Correct	58 ms	19320 KB	Output is correct
9	Correct	59 ms	19704 KB	Output is correct
10	Correct	30 ms	12288 KB	Output is correct
11	Correct	41 ms	14840 KB	Output is correct
12	Correct	56 ms	19704 KB	Output is correct
13	Correct	74 ms	24156 KB	Output is correct
14	Correct	77 ms	24148 KB	Output is correct
15	Correct	75 ms	24144 KB	Output is correct
16	Correct	77 ms	24184 KB	Output is correct
17	Correct	76 ms	24168 KB	Output is correct
18	Correct	75 ms	24064 KB	Output is correct
19	Correct	77 ms	24184 KB	Output is correct
20	Correct	76 ms	24164 KB	Output is correct
21	Correct	76 ms	24160 KB	Output is correct
22	Correct	74 ms	24160 KB	Output is correct
23	Correct	74 ms	24104 KB	Output is correct
24	Correct	74 ms	24056 KB	Output is correct
25	Correct	74 ms	24048 KB	Output is correct

Subtask #3
20.0 / 20.0

#	결과	실행 시간	메모리	Grader output
1	Correct	2 ms	384 KB	Output is correct
2	Correct	2 ms	512 KB	Output is correct
3	Correct	2 ms	480 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	2 ms	512 KB	Output is correct
11	Correct	0 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

#	결과	실행 시간	메모리	Grader output
1	Correct	2 ms	384 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	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	8 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	512 KB	Output is correct
15	Correct	2 ms	480 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	0 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	768 KB	Output is correct
38	Correct	3 ms	1152 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	1792 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	5 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
0 / 20.0

#	결과	실행 시간	메모리	Grader output
1	Correct	2 ms	384 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	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	8 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	13 ms	5760 KB	Output is correct
14	Correct	36 ms	13816 KB	Output is correct
15	Correct	10 ms	4608 KB	Output is correct
16	Correct	57 ms	19320 KB	Output is correct
17	Correct	52 ms	17784 KB	Output is correct
18	Correct	51 ms	16888 KB	Output is correct
19	Correct	32 ms	12664 KB	Output is correct
20	Correct	58 ms	19320 KB	Output is correct
21	Correct	59 ms	19704 KB	Output is correct
22	Correct	30 ms	12288 KB	Output is correct
23	Correct	41 ms	14840 KB	Output is correct
24	Correct	56 ms	19704 KB	Output is correct
25	Correct	74 ms	24156 KB	Output is correct
26	Correct	77 ms	24148 KB	Output is correct
27	Correct	75 ms	24144 KB	Output is correct
28	Correct	77 ms	24184 KB	Output is correct
29	Correct	76 ms	24168 KB	Output is correct
30	Correct	75 ms	24064 KB	Output is correct
31	Correct	77 ms	24184 KB	Output is correct
32	Correct	76 ms	24164 KB	Output is correct
33	Correct	76 ms	24160 KB	Output is correct
34	Correct	74 ms	24160 KB	Output is correct
35	Correct	74 ms	24104 KB	Output is correct
36	Correct	74 ms	24056 KB	Output is correct
37	Correct	74 ms	24048 KB	Output is correct
38	Correct	2 ms	384 KB	Output is correct
39	Correct	2 ms	512 KB	Output is correct
40	Correct	2 ms	480 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	2 ms	512 KB	Output is correct
48	Correct	0 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	768 KB	Output is correct
63	Correct	3 ms	1152 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	1792 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	5 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	43 ms	14196 KB	Output is correct
75	Correct	12 ms	4608 KB	Output is correct
76	Correct	19 ms	7692 KB	Output is correct
77	Incorrect	74 ms	22492 KB	Output isn't correct
78	Halted	0 ms	0 KB	-

답안 #117931

Compilation message

Subtask #1 10.0 / 10.0

Subtask #2 12.0 / 12.0

Subtask #3 20.0 / 20.0

Subtask #4 38.0 / 38.0

Subtask #5 0 / 20.0

Subtask #1
10.0 / 10.0

Subtask #2
12.0 / 12.0

Subtask #3
20.0 / 20.0

Subtask #4
38.0 / 38.0

Subtask #5
0 / 20.0