답안 #49750 :: oj.uz

#	제출 시각	아이디	문제	언어	결과	실행 시간	메모리
49750	2018-06-02T16:04:29 Z	model_code	Solitaire (JOI16_solitaire)	C++11	100 / 100	241 ms	180716 KB

solitaire

#include<iostream>
#include<algorithm>
#include<vector>
#include<cstdio>
#include<map>
using namespace std;

typedef long long Int;
typedef pair<Int, Int> P;
#define MOD 1000000007

Int dp[2006][6006][2];
Int c[4001][4001];
Int cnt[4001];
char board[3][2000];

vector<P> block;
void init(){
	for(Int i = 0;i < 4001;i++){
		for(Int j = 0;j <= i;j++){
			if(i == 0 || j == 0)c[i][j] = 1;
			else c[i][j] = c[i-1][j] + c[i-1][j-1];
			c[i][j] %= MOD;
		}
	}
}

void go(vector<Int> &vec){
	Int n = vec.size();
	if(n == 0)return;
	for(Int i = 0;i <= n;i++){
		for(Int j = 0;j <= 3 * (i+1);j++){
			dp[i][j][0] = dp[i][j][1] = 0;
		} 
	}

	vector<Int>sum = vec;
	for(Int i = 1;i < n;i++)sum[i] += sum[i-1];
	for(Int i = 0;i < n;i++){
		if(i == 0){
			if(vec[i] == 1){
				dp[0][1][1] = 1;
			}
			if(vec[i] == 2){                  
				dp[0][1][0] = 1;
				dp[0][2][1] = 1;
			}
			if(vec[i] == 3){                  
				dp[0][1][0] = 2;              
				dp[0][2][0] = 2;
				dp[0][3][1] = 2;
			}
			continue;
		}
		for(Int j = 1;j <= 3 * (i+1);j++){
			dp[i-1][j][1] += dp[i-1][j-1][1];
			dp[i-1][j][0] += dp[i-1][j-1][0];
		}
		if(vec[i] == 1){
			for(Int j = 1;j <= sum[i];j++){
				dp[i][j][1] += dp[i-1][sum[i-1]][1];
				dp[i][j][1] += dp[i-1][sum[i-1]][0] - dp[i-1][j-1][0];
				dp[i][j][1] %= MOD;
			}
		}
		
		
		if(vec[i] == 2){
			for(Int j = 1;j <= sum[i];j++){
//				dp[i][j][0] += dp[i-1][j-1][0] * (sum[i] - j);
				dp[i][j][0] += dp[i-1][j-1][1] * (sum[i] - j);
				dp[i][j][0] %= MOD;
				
				dp[i][j][1] += (dp[i-1][sum[i-1]][0] - dp[i-1][j-2][0]) * (j-1);
				dp[i][j][1] += dp[i-1][sum[i-1]][1] * (j-1);
				dp[i][j][1] %= MOD;
			}
		}
		
		
		if(vec[i] == 3){
			for(Int j = 1;j <= sum[i];j++){
//				dp[i][j][0] += dp[i-1][j-1][0] * (sum[i] - j) % MOD * (sum[i] - j - 1);
				dp[i][j][0] += dp[i-1][j-1][1] * (sum[i] - j) % MOD * (sum[i] - j - 1);
				dp[i][j][0] %= MOD;
				
				
//				if(j >= 2)dp[i][j][0] += dp[i-1][j-2][0] * (j-1) % MOD * (sum[i] - j) * 2;
				if(j >= 2)dp[i][j][0] += dp[i-1][j-2][1] * (j-1) % MOD * (sum[i] - j) * 2;
				dp[i][j][0] %= MOD;
				
				
				dp[i][j][1] += (dp[i-1][sum[i-1]][0] - dp[i-1][j-1][0]) * (j-1) % MOD * (j-2);
				dp[i][j][1] += dp[i-1][sum[i-1]][1] * (j-1) % MOD * (j-2);
				dp[i][j][1] %= MOD;
			}
		}
	}    
	
	Int res = 0;
	for(Int i = 1;i <= sum[n-1];i++){
		res += dp[n-1][i][0];
		res += dp[n-1][i][1];
		res %= MOD;
	}
	block.push_back(P(res, sum[n-1]));
}





int main(){
	init();
	Int black = 0;
	Int n;
	cin >> n;

	for(Int i = 0;i < 3;i++){
		for(Int j = 0;j < n;j++){
			cin >> board[i][j];
			if(board[i][j] == 'x')cnt[j]++, black++;
			if(board[i][j] != 'o' && board[i][j] != 'x' ){
//				cerr << "oxoxo" << endl;
//				exit(10);
			}
		}
	}
	if(board[0][0] == 'x' || board[2][0] == 'x' || board[0][n-1] == 'x' || board[2][n-1] == 'x'){
		cout << 0 << endl;
		return 0;
	}

	for(Int i = 0;i < n;i++){
		if(i == 0)continue;
		if(board[0][i-1] == 'x' && board[0][i] == 'x'){
			cout << 0 << endl;
			return 0;
		}
		if(board[2][i-1] == 'x' && board[2][i] == 'x'){
			cout << 0 << endl;
			return 0;
		}
	}	

	vector<Int> tmp;
	for(Int i = 0;i < n;i++){
		if(board[1][i] == 'o'){
			go(tmp);
			tmp.clear();
			if(board[0][i] == 'x')block.push_back(P(1, 1));
			if(board[2][i] == 'x')block.push_back(P(1, 1));
		}
		else{
			tmp.push_back(cnt[i]);
		}
	}
	go(tmp);
	
	Int res = 1;
	
	for(Int i = 0;i < block.size();i++){
		Int a = block[i].first;
		Int b = block[i].second;
		res *= a;res %= MOD;
		res *= c[black][b];res %= MOD;
		black -= b;
	}
	
	if(black != 0)cout << "PYA" << endl;
	res %= MOD;
	if(res < 0)res += MOD;
	cout << res << endl;
	return 0;
}

Compilation message

solitaire.cpp: In function 'int main()':
solitaire.cpp:162:18: warning: comparison between signed and unsigned integer expressions [-Wsign-compare]
  for(Int i = 0;i < block.size();i++){
                ~~^~~~~~~~~~~~~~

Subtask #1
10.0 / 10.0

#	결과	실행 시간	메모리	Grader output
1	Correct	72 ms	78072 KB	Output is correct
2	Correct	75 ms	78188 KB	Output is correct
3	Correct	80 ms	78256 KB	Output is correct
4	Correct	70 ms	78256 KB	Output is correct
5	Correct	75 ms	78288 KB	Output is correct
6	Correct	73 ms	78288 KB	Output is correct
7	Correct	76 ms	78288 KB	Output is correct
8	Correct	77 ms	78312 KB	Output is correct
9	Correct	73 ms	78396 KB	Output is correct
10	Correct	72 ms	78440 KB	Output is correct
11	Correct	95 ms	78440 KB	Output is correct
12	Correct	83 ms	78440 KB	Output is correct

Subtask #2
12.0 / 12.0

#	결과	실행 시간	메모리	Grader output
1	Correct	68 ms	78440 KB	Output is correct
2	Correct	82 ms	78440 KB	Output is correct
3	Correct	82 ms	78440 KB	Output is correct
4	Correct	93 ms	78448 KB	Output is correct
5	Correct	94 ms	78448 KB	Output is correct
6	Correct	76 ms	78448 KB	Output is correct
7	Correct	69 ms	78448 KB	Output is correct
8	Correct	69 ms	78448 KB	Output is correct
9	Correct	67 ms	78516 KB	Output is correct
10	Correct	70 ms	78516 KB	Output is correct
11	Correct	67 ms	78516 KB	Output is correct
12	Correct	77 ms	78516 KB	Output is correct
13	Correct	83 ms	82180 KB	Output is correct
14	Correct	98 ms	84096 KB	Output is correct
15	Correct	110 ms	91520 KB	Output is correct
16	Correct	101 ms	91520 KB	Output is correct
17	Correct	80 ms	91520 KB	Output is correct
18	Correct	77 ms	91520 KB	Output is correct
19	Correct	82 ms	91520 KB	Output is correct
20	Correct	88 ms	91520 KB	Output is correct
21	Correct	79 ms	91520 KB	Output is correct
22	Correct	92 ms	92928 KB	Output is correct
23	Correct	85 ms	92928 KB	Output is correct
24	Correct	83 ms	92928 KB	Output is correct
25	Correct	85 ms	92928 KB	Output is correct

Subtask #3
20.0 / 20.0

#	결과	실행 시간	메모리	Grader output
1	Correct	66 ms	92928 KB	Output is correct
2	Correct	82 ms	92928 KB	Output is correct
3	Correct	72 ms	92928 KB	Output is correct
4	Correct	69 ms	92928 KB	Output is correct
5	Correct	70 ms	92928 KB	Output is correct
6	Correct	69 ms	92928 KB	Output is correct
7	Correct	67 ms	92928 KB	Output is correct
8	Correct	80 ms	92928 KB	Output is correct
9	Correct	71 ms	92928 KB	Output is correct
10	Correct	76 ms	92928 KB	Output is correct
11	Correct	78 ms	92928 KB	Output is correct
12	Correct	79 ms	92928 KB	Output is correct
13	Correct	73 ms	92928 KB	Output is correct
14	Correct	88 ms	92928 KB	Output is correct
15	Correct	70 ms	92928 KB	Output is correct
16	Correct	69 ms	92928 KB	Output is correct
17	Correct	75 ms	92928 KB	Output is correct
18	Correct	85 ms	92928 KB	Output is correct
19	Correct	76 ms	92928 KB	Output is correct
20	Correct	78 ms	92928 KB	Output is correct
21	Correct	74 ms	92928 KB	Output is correct
22	Correct	72 ms	92928 KB	Output is correct
23	Correct	72 ms	92928 KB	Output is correct
24	Correct	72 ms	92928 KB	Output is correct

Subtask #4
38.0 / 38.0

#	결과	실행 시간	메모리	Grader output
1	Correct	72 ms	78072 KB	Output is correct
2	Correct	75 ms	78188 KB	Output is correct
3	Correct	80 ms	78256 KB	Output is correct
4	Correct	70 ms	78256 KB	Output is correct
5	Correct	75 ms	78288 KB	Output is correct
6	Correct	73 ms	78288 KB	Output is correct
7	Correct	76 ms	78288 KB	Output is correct
8	Correct	77 ms	78312 KB	Output is correct
9	Correct	73 ms	78396 KB	Output is correct
10	Correct	72 ms	78440 KB	Output is correct
11	Correct	95 ms	78440 KB	Output is correct
12	Correct	83 ms	78440 KB	Output is correct
13	Correct	66 ms	92928 KB	Output is correct
14	Correct	82 ms	92928 KB	Output is correct
15	Correct	72 ms	92928 KB	Output is correct
16	Correct	69 ms	92928 KB	Output is correct
17	Correct	70 ms	92928 KB	Output is correct
18	Correct	69 ms	92928 KB	Output is correct
19	Correct	67 ms	92928 KB	Output is correct
20	Correct	80 ms	92928 KB	Output is correct
21	Correct	71 ms	92928 KB	Output is correct
22	Correct	76 ms	92928 KB	Output is correct
23	Correct	78 ms	92928 KB	Output is correct
24	Correct	79 ms	92928 KB	Output is correct
25	Correct	73 ms	92928 KB	Output is correct
26	Correct	88 ms	92928 KB	Output is correct
27	Correct	70 ms	92928 KB	Output is correct
28	Correct	69 ms	92928 KB	Output is correct
29	Correct	75 ms	92928 KB	Output is correct
30	Correct	85 ms	92928 KB	Output is correct
31	Correct	76 ms	92928 KB	Output is correct
32	Correct	78 ms	92928 KB	Output is correct
33	Correct	74 ms	92928 KB	Output is correct
34	Correct	72 ms	92928 KB	Output is correct
35	Correct	72 ms	92928 KB	Output is correct
36	Correct	72 ms	92928 KB	Output is correct
37	Correct	93 ms	92928 KB	Output is correct
38	Correct	76 ms	92928 KB	Output is correct
39	Correct	70 ms	92928 KB	Output is correct
40	Correct	70 ms	92928 KB	Output is correct
41	Correct	66 ms	92928 KB	Output is correct
42	Correct	80 ms	92928 KB	Output is correct
43	Correct	74 ms	92928 KB	Output is correct
44	Correct	76 ms	92928 KB	Output is correct
45	Correct	73 ms	92928 KB	Output is correct
46	Correct	74 ms	92928 KB	Output is correct
47	Correct	72 ms	92928 KB	Output is correct
48	Correct	71 ms	92928 KB	Output is correct

Subtask #5
20.0 / 20.0

#	결과	실행 시간	메모리	Grader output
1	Correct	72 ms	78072 KB	Output is correct
2	Correct	75 ms	78188 KB	Output is correct
3	Correct	80 ms	78256 KB	Output is correct
4	Correct	70 ms	78256 KB	Output is correct
5	Correct	75 ms	78288 KB	Output is correct
6	Correct	73 ms	78288 KB	Output is correct
7	Correct	76 ms	78288 KB	Output is correct
8	Correct	77 ms	78312 KB	Output is correct
9	Correct	73 ms	78396 KB	Output is correct
10	Correct	72 ms	78440 KB	Output is correct
11	Correct	95 ms	78440 KB	Output is correct
12	Correct	83 ms	78440 KB	Output is correct
13	Correct	68 ms	78440 KB	Output is correct
14	Correct	82 ms	78440 KB	Output is correct
15	Correct	82 ms	78440 KB	Output is correct
16	Correct	93 ms	78448 KB	Output is correct
17	Correct	94 ms	78448 KB	Output is correct
18	Correct	76 ms	78448 KB	Output is correct
19	Correct	69 ms	78448 KB	Output is correct
20	Correct	69 ms	78448 KB	Output is correct
21	Correct	67 ms	78516 KB	Output is correct
22	Correct	70 ms	78516 KB	Output is correct
23	Correct	67 ms	78516 KB	Output is correct
24	Correct	77 ms	78516 KB	Output is correct
25	Correct	83 ms	82180 KB	Output is correct
26	Correct	98 ms	84096 KB	Output is correct
27	Correct	110 ms	91520 KB	Output is correct
28	Correct	101 ms	91520 KB	Output is correct
29	Correct	80 ms	91520 KB	Output is correct
30	Correct	77 ms	91520 KB	Output is correct
31	Correct	82 ms	91520 KB	Output is correct
32	Correct	88 ms	91520 KB	Output is correct
33	Correct	79 ms	91520 KB	Output is correct
34	Correct	92 ms	92928 KB	Output is correct
35	Correct	85 ms	92928 KB	Output is correct
36	Correct	83 ms	92928 KB	Output is correct
37	Correct	85 ms	92928 KB	Output is correct
38	Correct	66 ms	92928 KB	Output is correct
39	Correct	82 ms	92928 KB	Output is correct
40	Correct	72 ms	92928 KB	Output is correct
41	Correct	69 ms	92928 KB	Output is correct
42	Correct	70 ms	92928 KB	Output is correct
43	Correct	69 ms	92928 KB	Output is correct
44	Correct	67 ms	92928 KB	Output is correct
45	Correct	80 ms	92928 KB	Output is correct
46	Correct	71 ms	92928 KB	Output is correct
47	Correct	76 ms	92928 KB	Output is correct
48	Correct	78 ms	92928 KB	Output is correct
49	Correct	79 ms	92928 KB	Output is correct
50	Correct	73 ms	92928 KB	Output is correct
51	Correct	88 ms	92928 KB	Output is correct
52	Correct	70 ms	92928 KB	Output is correct
53	Correct	69 ms	92928 KB	Output is correct
54	Correct	75 ms	92928 KB	Output is correct
55	Correct	85 ms	92928 KB	Output is correct
56	Correct	76 ms	92928 KB	Output is correct
57	Correct	78 ms	92928 KB	Output is correct
58	Correct	74 ms	92928 KB	Output is correct
59	Correct	72 ms	92928 KB	Output is correct
60	Correct	72 ms	92928 KB	Output is correct
61	Correct	72 ms	92928 KB	Output is correct
62	Correct	93 ms	92928 KB	Output is correct
63	Correct	76 ms	92928 KB	Output is correct
64	Correct	70 ms	92928 KB	Output is correct
65	Correct	70 ms	92928 KB	Output is correct
66	Correct	66 ms	92928 KB	Output is correct
67	Correct	80 ms	92928 KB	Output is correct
68	Correct	74 ms	92928 KB	Output is correct
69	Correct	76 ms	92928 KB	Output is correct
70	Correct	73 ms	92928 KB	Output is correct
71	Correct	74 ms	92928 KB	Output is correct
72	Correct	72 ms	92928 KB	Output is correct
73	Correct	71 ms	92928 KB	Output is correct
74	Correct	66 ms	92928 KB	Output is correct
75	Correct	78 ms	92928 KB	Output is correct
76	Correct	76 ms	92928 KB	Output is correct
77	Correct	77 ms	92928 KB	Output is correct
78	Correct	92 ms	92928 KB	Output is correct
79	Correct	71 ms	92928 KB	Output is correct
80	Correct	76 ms	92928 KB	Output is correct
81	Correct	80 ms	92928 KB	Output is correct
82	Correct	72 ms	92928 KB	Output is correct
83	Correct	77 ms	92928 KB	Output is correct
84	Correct	72 ms	92928 KB	Output is correct
85	Correct	87 ms	92928 KB	Output is correct
86	Correct	241 ms	180608 KB	Output is correct
87	Correct	200 ms	180608 KB	Output is correct
88	Correct	180 ms	180608 KB	Output is correct
89	Correct	191 ms	180608 KB	Output is correct
90	Correct	201 ms	180608 KB	Output is correct
91	Correct	211 ms	180716 KB	Output is correct
92	Correct	185 ms	180716 KB	Output is correct
93	Correct	185 ms	180716 KB	Output is correct
94	Correct	180 ms	180716 KB	Output is correct
95	Correct	174 ms	180716 KB	Output is correct
96	Correct	188 ms	180716 KB	Output is correct
97	Correct	170 ms	180716 KB	Output is correct

답안 #49750

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 20.0 / 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
20.0 / 20.0