답안 #99162 :: oj.uz

#	제출 시각	아이디	문제	언어	결과	실행 시간	메모리
99162	2019-03-01T07:18:02 Z	diamond_duke	Security Gate (JOI18_security_gate)	C++11	100 / 100	2049 ms	774684 KB

securitygate

#include <algorithm>
#include <cstring>
#include <cstdio>
using ll = long long;
constexpr int MOD = 1e9 + 7;
inline void upd(int &x, int y) { (x += y) >= MOD ? (x -= MOD) : 0; }
int arr[305], all[305][305], dp_l[155][305][305][2], dp_r[305][305][605][3];
inline int solve(int n, int off)
{
	memset(all, 0, sizeof(all));
	all[n][0] = 1;
	for (int i = n - 1; i >= 0; i--)
	{
		for (int j = 0; j <= n; j++)
		{
			if (!all[i + 1][j])
				continue;
			if (arr[i] != 1 && j != n)
				upd(all[i][j + 1], all[i + 1][j]);
			if (arr[i] != -1 && j)
				upd(all[i][j - 1], all[i + 1][j]);
		}
	}
	memset(dp_l, 0, sizeof(dp_l));
	for (int x = 0; x < n / 2; x++)
	{
		auto dp = dp_l[x];
		dp[0][0][!x] = 1;
		for (int i = 0; i < n; i++)
		{
			for (int j = 0; j <= x; j++)
			{
				for (int flg = 0; flg < 2; flg++)
				{
					if (!dp[i][j][flg])
						continue;
					if (arr[i] != 1 && j)
						upd(dp[i + 1][j - 1][flg], dp[i][j][flg]);
					if (arr[i] != -1 && j != x)
						upd(dp[i + 1][j + 1][flg || j + 1 == x], dp[i][j][flg]);
				}
			}
		}
	}
	memset(dp_r, 0, sizeof(dp_r));
	for (int x = 0; x < n; x++)
	{
		auto dp = dp_r[x];
		dp[n][0][!x] = 1;
		for (int i = n - 1; i >= 0; i--)
		{
			for (int j = 0; j <= n; j++)
			{
				if (!dp[i + 1][j][0])
					continue;
				if (arr[i] != 1 && j < n)
					upd(dp[i][j + 1][0], dp[i + 1][j][0]);
				if (arr[i] != -1 && j)
					upd(dp[i][j - 1][0], dp[i + 1][j][0]);
			}
			if (arr[i] != 1 && x)
				upd(dp[i][x][1], dp[i + 1][x - 1][0]);
			if (arr[i] != -1 && x < n)
				upd(dp[i][x][1], dp[i + 1][x + 1][0]);
			for (int j = x; j <= std::min(x * 2, n - 1); j++)
			{
				if (!dp[i + 1][j][1])
					continue;
				if (arr[i] != 1)
					upd(dp[i][j + 1][1], dp[i + 1][j][1]);
				if (arr[i] != -1 && j >= x + 2)
					upd(dp[i][j - 1][1], dp[i + 1][j][1]);
			}
		}
	}
	int res = 0;
	for (int a = 0; a <= n / 2; a++)
	{
		for (int b = 1; a + b <= n / 2; b++)
		{
			for (int pos = 0; pos < n; pos += 2)
			{
				if (arr[pos] == 1)
					continue;
				int val = a >= b ? all[pos + 1][2 * b - 1] : dp_r[a + b][pos + 1][2 * b - 1][1];
				res = (res + (ll)dp_l[a][pos][0][1] * val) % MOD;
			}
		}
	}
	memset(dp_r, 0, sizeof(dp_r));
	for (int x = 0; x < n / 2; x++)
	{
		auto dp = dp_r[x];
		dp[n][n][!(x + off)] = 1;
		for (int i = n - 1; i >= 0; i--)
		{
			for (int j = 0; j <= n; j++)
			{
				if (!dp[i + 1][j + n][0])
					continue;
				if (arr[i] != 1 && j < n)
					upd(dp[i][j + 1 + n][j + 1 == x + off], dp[i + 1][j + n][0]);
				if (arr[i] != -1)
					upd(dp[i][j - 1 + n][0], dp[i + 1][j + n][0]);
			}
			for (int j = 0; j <= n; j++)
			{
				if (!dp[i + 1][j + n][1])
					continue;
				if (arr[i] != 1)
					upd(dp[i][j + 1 + n][1], dp[i + 1][j + n][1]);
				if (arr[i] != -1)
					upd(dp[i][j - 1 + n][1 + !j], dp[i + 1][j + n][1]);
			}
			for (int j = -n; j <= std::min(x * 2, n - 1); j++)
			{
				if (!dp[i + 1][j + n][2])
					continue;
				if (arr[i] != 1 && j != x * 2)
					upd(dp[i][j + 1 + n][2], dp[i + 1][j + n][2]);
				if (arr[i] != -1 && j != -n)
					upd(dp[i][j - 1 + n][2], dp[i + 1][j + n][2]);
			}
		}
	}
	for (int a = 0; a <= n / 2; a++)
	{
		for (int b = -n / 2 + 1; b < n / 2; b++)
		{
			if (a + b < 0 || a + (b < 0 ? -b : b) >= n / 2)
				continue;
			for (int pos = 0; pos < n; pos += 2)
			{
				if (arr[pos] == 1)
					continue;
				res = (res + (ll)dp_l[a][pos][0][1] * dp_r[a + b][pos + 1][b * 2 - 1 + n][2]) % MOD;
			}
		}
	}
	return res;
}
char str[305];
int main()
{
	int n;
	scanf("%d%s", &n, str);
	for (int i = 0; i < n; i++)
		arr[i] = str[i] == '(' ? 1 : str[i] == ')' ? -1 : 0;
	int ans = solve(n, 0);
	upd(ans, all[0][0]);
	for (int i = 0; i < n; i++)
		arr[i] *= -1;
	std::reverse(arr, arr + n);
	upd(ans, solve(n, 1));
	printf("%d\n", ans);
	return 0;
}

Compilation message

securitygate.cpp: In function 'int main()':
securitygate.cpp:146:7: warning: ignoring return value of 'int scanf(const char*, ...)', declared with attribute warn_unused_result [-Wunused-result]
  scanf("%d%s", &n, str);
  ~~~~~^~~~~~~~~~~~~~~~~

Subtask #1
4.0 / 4.0

#	결과	실행 시간	메모리	Grader output
1	Correct	1448 ms	774684 KB	Output is correct
2	Correct	1316 ms	774408 KB	Output is correct
3	Correct	1318 ms	774532 KB	Output is correct
4	Correct	1150 ms	774416 KB	Output is correct
5	Correct	1102 ms	774548 KB	Output is correct
6	Correct	1160 ms	774480 KB	Output is correct
7	Correct	1177 ms	774492 KB	Output is correct
8	Correct	1135 ms	774492 KB	Output is correct
9	Correct	1186 ms	774520 KB	Output is correct
10	Correct	1191 ms	774368 KB	Output is correct
11	Correct	1166 ms	774452 KB	Output is correct
12	Correct	1243 ms	774520 KB	Output is correct
13	Correct	1178 ms	774520 KB	Output is correct
14	Correct	1129 ms	774476 KB	Output is correct
15	Correct	1172 ms	774528 KB	Output is correct
16	Correct	1175 ms	774492 KB	Output is correct
17	Correct	1247 ms	774440 KB	Output is correct

Subtask #2
8.0 / 8.0

#	결과	실행 시간	메모리	Grader output
1	Correct	1448 ms	774684 KB	Output is correct
2	Correct	1316 ms	774408 KB	Output is correct
3	Correct	1318 ms	774532 KB	Output is correct
4	Correct	1150 ms	774416 KB	Output is correct
5	Correct	1102 ms	774548 KB	Output is correct
6	Correct	1160 ms	774480 KB	Output is correct
7	Correct	1177 ms	774492 KB	Output is correct
8	Correct	1135 ms	774492 KB	Output is correct
9	Correct	1186 ms	774520 KB	Output is correct
10	Correct	1191 ms	774368 KB	Output is correct
11	Correct	1166 ms	774452 KB	Output is correct
12	Correct	1243 ms	774520 KB	Output is correct
13	Correct	1178 ms	774520 KB	Output is correct
14	Correct	1129 ms	774476 KB	Output is correct
15	Correct	1172 ms	774528 KB	Output is correct
16	Correct	1175 ms	774492 KB	Output is correct
17	Correct	1247 ms	774440 KB	Output is correct
18	Correct	1279 ms	774536 KB	Output is correct
19	Correct	1262 ms	774504 KB	Output is correct
20	Correct	1212 ms	774392 KB	Output is correct
21	Correct	1157 ms	774612 KB	Output is correct
22	Correct	1155 ms	774492 KB	Output is correct
23	Correct	1267 ms	774492 KB	Output is correct
24	Correct	1204 ms	774416 KB	Output is correct
25	Correct	1154 ms	774476 KB	Output is correct
26	Correct	1177 ms	774544 KB	Output is correct
27	Correct	1185 ms	774424 KB	Output is correct
28	Correct	1214 ms	774544 KB	Output is correct
29	Correct	1202 ms	774468 KB	Output is correct
30	Correct	1159 ms	774536 KB	Output is correct
31	Correct	1232 ms	774528 KB	Output is correct

Subtask #3
18.0 / 18.0

#	결과	실행 시간	메모리	Grader output
1	Correct	1448 ms	774684 KB	Output is correct
2	Correct	1316 ms	774408 KB	Output is correct
3	Correct	1318 ms	774532 KB	Output is correct
4	Correct	1150 ms	774416 KB	Output is correct
5	Correct	1102 ms	774548 KB	Output is correct
6	Correct	1160 ms	774480 KB	Output is correct
7	Correct	1177 ms	774492 KB	Output is correct
8	Correct	1135 ms	774492 KB	Output is correct
9	Correct	1186 ms	774520 KB	Output is correct
10	Correct	1191 ms	774368 KB	Output is correct
11	Correct	1166 ms	774452 KB	Output is correct
12	Correct	1243 ms	774520 KB	Output is correct
13	Correct	1178 ms	774520 KB	Output is correct
14	Correct	1129 ms	774476 KB	Output is correct
15	Correct	1172 ms	774528 KB	Output is correct
16	Correct	1175 ms	774492 KB	Output is correct
17	Correct	1247 ms	774440 KB	Output is correct
18	Correct	1279 ms	774536 KB	Output is correct
19	Correct	1262 ms	774504 KB	Output is correct
20	Correct	1212 ms	774392 KB	Output is correct
21	Correct	1157 ms	774612 KB	Output is correct
22	Correct	1155 ms	774492 KB	Output is correct
23	Correct	1267 ms	774492 KB	Output is correct
24	Correct	1204 ms	774416 KB	Output is correct
25	Correct	1154 ms	774476 KB	Output is correct
26	Correct	1177 ms	774544 KB	Output is correct
27	Correct	1185 ms	774424 KB	Output is correct
28	Correct	1214 ms	774544 KB	Output is correct
29	Correct	1202 ms	774468 KB	Output is correct
30	Correct	1159 ms	774536 KB	Output is correct
31	Correct	1232 ms	774528 KB	Output is correct
32	Correct	1164 ms	774472 KB	Output is correct
33	Correct	1262 ms	774528 KB	Output is correct
34	Correct	1140 ms	774392 KB	Output is correct
35	Correct	1210 ms	774420 KB	Output is correct
36	Correct	1188 ms	774508 KB	Output is correct
37	Correct	1235 ms	774468 KB	Output is correct
38	Correct	1241 ms	774472 KB	Output is correct
39	Correct	1204 ms	774512 KB	Output is correct
40	Correct	1247 ms	774556 KB	Output is correct
41	Correct	1147 ms	774496 KB	Output is correct
42	Correct	1209 ms	774344 KB	Output is correct
43	Correct	1243 ms	774392 KB	Output is correct
44	Correct	1287 ms	774520 KB	Output is correct
45	Correct	1287 ms	774520 KB	Output is correct

Subtask #4
43.0 / 43.0

#	결과	실행 시간	메모리	Grader output
1	Correct	1448 ms	774684 KB	Output is correct
2	Correct	1316 ms	774408 KB	Output is correct
3	Correct	1318 ms	774532 KB	Output is correct
4	Correct	1150 ms	774416 KB	Output is correct
5	Correct	1102 ms	774548 KB	Output is correct
6	Correct	1160 ms	774480 KB	Output is correct
7	Correct	1177 ms	774492 KB	Output is correct
8	Correct	1135 ms	774492 KB	Output is correct
9	Correct	1186 ms	774520 KB	Output is correct
10	Correct	1191 ms	774368 KB	Output is correct
11	Correct	1166 ms	774452 KB	Output is correct
12	Correct	1243 ms	774520 KB	Output is correct
13	Correct	1178 ms	774520 KB	Output is correct
14	Correct	1129 ms	774476 KB	Output is correct
15	Correct	1172 ms	774528 KB	Output is correct
16	Correct	1175 ms	774492 KB	Output is correct
17	Correct	1247 ms	774440 KB	Output is correct
18	Correct	1279 ms	774536 KB	Output is correct
19	Correct	1262 ms	774504 KB	Output is correct
20	Correct	1212 ms	774392 KB	Output is correct
21	Correct	1157 ms	774612 KB	Output is correct
22	Correct	1155 ms	774492 KB	Output is correct
23	Correct	1267 ms	774492 KB	Output is correct
24	Correct	1204 ms	774416 KB	Output is correct
25	Correct	1154 ms	774476 KB	Output is correct
26	Correct	1177 ms	774544 KB	Output is correct
27	Correct	1185 ms	774424 KB	Output is correct
28	Correct	1214 ms	774544 KB	Output is correct
29	Correct	1202 ms	774468 KB	Output is correct
30	Correct	1159 ms	774536 KB	Output is correct
31	Correct	1232 ms	774528 KB	Output is correct
32	Correct	1164 ms	774472 KB	Output is correct
33	Correct	1262 ms	774528 KB	Output is correct
34	Correct	1140 ms	774392 KB	Output is correct
35	Correct	1210 ms	774420 KB	Output is correct
36	Correct	1188 ms	774508 KB	Output is correct
37	Correct	1235 ms	774468 KB	Output is correct
38	Correct	1241 ms	774472 KB	Output is correct
39	Correct	1204 ms	774512 KB	Output is correct
40	Correct	1247 ms	774556 KB	Output is correct
41	Correct	1147 ms	774496 KB	Output is correct
42	Correct	1209 ms	774344 KB	Output is correct
43	Correct	1243 ms	774392 KB	Output is correct
44	Correct	1287 ms	774520 KB	Output is correct
45	Correct	1287 ms	774520 KB	Output is correct
46	Correct	1156 ms	774520 KB	Output is correct
47	Correct	1242 ms	774412 KB	Output is correct
48	Correct	1158 ms	774392 KB	Output is correct
49	Correct	1208 ms	774332 KB	Output is correct
50	Correct	1221 ms	774444 KB	Output is correct
51	Correct	1175 ms	774400 KB	Output is correct
52	Correct	1243 ms	774532 KB	Output is correct
53	Correct	1182 ms	774464 KB	Output is correct
54	Correct	1201 ms	774520 KB	Output is correct
55	Correct	1143 ms	774392 KB	Output is correct
56	Correct	1235 ms	774492 KB	Output is correct
57	Correct	1156 ms	774464 KB	Output is correct
58	Correct	1199 ms	774416 KB	Output is correct
59	Correct	1241 ms	774392 KB	Output is correct
60	Correct	1229 ms	774520 KB	Output is correct
61	Correct	1187 ms	774460 KB	Output is correct

Subtask #5
27.0 / 27.0

#	결과	실행 시간	메모리	Grader output
1	Correct	1448 ms	774684 KB	Output is correct
2	Correct	1316 ms	774408 KB	Output is correct
3	Correct	1318 ms	774532 KB	Output is correct
4	Correct	1150 ms	774416 KB	Output is correct
5	Correct	1102 ms	774548 KB	Output is correct
6	Correct	1160 ms	774480 KB	Output is correct
7	Correct	1177 ms	774492 KB	Output is correct
8	Correct	1135 ms	774492 KB	Output is correct
9	Correct	1186 ms	774520 KB	Output is correct
10	Correct	1191 ms	774368 KB	Output is correct
11	Correct	1166 ms	774452 KB	Output is correct
12	Correct	1243 ms	774520 KB	Output is correct
13	Correct	1178 ms	774520 KB	Output is correct
14	Correct	1129 ms	774476 KB	Output is correct
15	Correct	1172 ms	774528 KB	Output is correct
16	Correct	1175 ms	774492 KB	Output is correct
17	Correct	1247 ms	774440 KB	Output is correct
18	Correct	1279 ms	774536 KB	Output is correct
19	Correct	1262 ms	774504 KB	Output is correct
20	Correct	1212 ms	774392 KB	Output is correct
21	Correct	1157 ms	774612 KB	Output is correct
22	Correct	1155 ms	774492 KB	Output is correct
23	Correct	1267 ms	774492 KB	Output is correct
24	Correct	1204 ms	774416 KB	Output is correct
25	Correct	1154 ms	774476 KB	Output is correct
26	Correct	1177 ms	774544 KB	Output is correct
27	Correct	1185 ms	774424 KB	Output is correct
28	Correct	1214 ms	774544 KB	Output is correct
29	Correct	1202 ms	774468 KB	Output is correct
30	Correct	1159 ms	774536 KB	Output is correct
31	Correct	1232 ms	774528 KB	Output is correct
32	Correct	1164 ms	774472 KB	Output is correct
33	Correct	1262 ms	774528 KB	Output is correct
34	Correct	1140 ms	774392 KB	Output is correct
35	Correct	1210 ms	774420 KB	Output is correct
36	Correct	1188 ms	774508 KB	Output is correct
37	Correct	1235 ms	774468 KB	Output is correct
38	Correct	1241 ms	774472 KB	Output is correct
39	Correct	1204 ms	774512 KB	Output is correct
40	Correct	1247 ms	774556 KB	Output is correct
41	Correct	1147 ms	774496 KB	Output is correct
42	Correct	1209 ms	774344 KB	Output is correct
43	Correct	1243 ms	774392 KB	Output is correct
44	Correct	1287 ms	774520 KB	Output is correct
45	Correct	1287 ms	774520 KB	Output is correct
46	Correct	1156 ms	774520 KB	Output is correct
47	Correct	1242 ms	774412 KB	Output is correct
48	Correct	1158 ms	774392 KB	Output is correct
49	Correct	1208 ms	774332 KB	Output is correct
50	Correct	1221 ms	774444 KB	Output is correct
51	Correct	1175 ms	774400 KB	Output is correct
52	Correct	1243 ms	774532 KB	Output is correct
53	Correct	1182 ms	774464 KB	Output is correct
54	Correct	1201 ms	774520 KB	Output is correct
55	Correct	1143 ms	774392 KB	Output is correct
56	Correct	1235 ms	774492 KB	Output is correct
57	Correct	1156 ms	774464 KB	Output is correct
58	Correct	1199 ms	774416 KB	Output is correct
59	Correct	1241 ms	774392 KB	Output is correct
60	Correct	1229 ms	774520 KB	Output is correct
61	Correct	1187 ms	774460 KB	Output is correct
62	Correct	1514 ms	774520 KB	Output is correct
63	Correct	1482 ms	774516 KB	Output is correct
64	Correct	1282 ms	774500 KB	Output is correct
65	Correct	1298 ms	774444 KB	Output is correct
66	Correct	1883 ms	774512 KB	Output is correct
67	Correct	1910 ms	774520 KB	Output is correct
68	Correct	2049 ms	774504 KB	Output is correct
69	Correct	1272 ms	774520 KB	Output is correct
70	Correct	1363 ms	774520 KB	Output is correct
71	Correct	1229 ms	774444 KB	Output is correct
72	Correct	1298 ms	774436 KB	Output is correct
73	Correct	1998 ms	774468 KB	Output is correct
74	Correct	1824 ms	774496 KB	Output is correct

답안 #99162

Compilation message

Subtask #1 4.0 / 4.0

Subtask #2 8.0 / 8.0

Subtask #3 18.0 / 18.0

Subtask #4 43.0 / 43.0

Subtask #5 27.0 / 27.0

Subtask #1
4.0 / 4.0

Subtask #2
8.0 / 8.0

Subtask #3
18.0 / 18.0

Subtask #4
43.0 / 43.0

Subtask #5
27.0 / 27.0