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Submission #545939

# Submission time Handle Problem Language Result Execution time Memory
545939 2022-04-05T16:15:06 Z rainboy Chess Rush (CEOI20_chessrush) C
100 / 100
 292 ms 8120 KB 
/* https://codeforces.com/blog/entry/82022?#comment-687998 (Benq) */
#include <stdio.h>
#include <string.h>

#define N	1000
#define MD	1000000007

int abs_(int a) { return a > 0 ? a : -a; }

int vv[N + 1];

void init() {
	int i;

	for (i = 1; i <= N; i++)
		vv[i] = i == 1 ? 1 : (long long) vv[i - MD % i] * (MD / i + 1) % MD;
}

int choose(int n, int k) {
	return k == 0 ? 1 : (long long) choose(n - 1, k - 1) * n % MD * vv[k] % MD;
}

void apply(int dp[][N], int n) {
	static int aa[N];
	int i, j;

	for (i = 0; i < n; i++) {
		memcpy(aa, dp[i], n * sizeof *dp[i]);
		for (j = 0; j < n; j++)
			dp[i][j] = ((long long) (j == 0 ? 0 : aa[j - 1]) + aa[j] + (j + 1 == n ? 0 : aa[j + 1])) % MD;
	}
}

void square(int dp[][N], int n) {
	static int dq[N][N];
	int i, j;

	for (i = 0; i < n; i++)
		memset(dq[i], 0, n * sizeof *dq[i]);
	for (j = 0; j < n; j++)
		for (i = 0; i < n; i++)
			dq[0][j] = (dq[0][j] + (long long) dp[0][i] * dp[i][j]) % MD;
	for (i = 0; i < n; i++)
		dq[i][0] = dq[0][i];
	for (i = 1; i < n; i++)
		for (j = 1; i + j < n; j++)
			dq[i][j] = (dq[i - 1][j - 1] + dq[0][i + j]) % MD;
	for (i = 0; i < n; i++)
		for (j = 0; i + j < n; j++)
			dq[n - 1 - i][n - 1 - j] = dq[i][j];
	for (i = 0; i < n; i++)
		memcpy(dp[i], dq[i], n * sizeof *dq[i]);
}

void power(int dp[][N], int n, int k) {
	if (k == 0) {
		int i, j;

		for (i = 0; i < n; i++)
			for (j = 0; j < n; j++)
				dp[i][j] = i == j;
		return;
	}
	power(dp, n, k / 2);
	square(dp, n);
	if (k & 1)
		apply(dp, n);
}

int dist(int m, int j1, int i2, int j2) {
	int d = i2 / (m - 1);

	if (d % 2 == 0 && i2 % (m - 1) > abs_(j1 - j2) || d % 2 == 1 && i2 % (m - 1) > abs_(m - 1 - j1 - j2))
		d++;
	return d + 1;
}

int main() {
	static int dp[N][N];
	int n, m, q;

	init();
	scanf("%d%d%d", &n, &m, &q);
	power(dp, m, n - 1);
	while (q--) {
		static char s[2];
		int j1, j2;

		scanf("%s%d%d", s, &j1, &j2), j1--, j2--;
		if (s[0] == 'P') {
			if (j1 == j2)
				printf("%d 1\n", n - 1);
			else
				printf("0 0\n");
		} else if (s[0] == 'R') {
			if (j1 == j2)
				printf("1 1\n");
			else
				printf("2 2\n");
		} else if (s[0] == 'Q') {
			if (j1 == j2 || n == m && (j1 == 0 && j2 == m - 1 || j1 == m - 1 && j2 == 0))
				printf("1 1\n");
			else {
				int cnt;

				cnt = 4;
				if (n == m && (j1 == 0 || j1 == m - 1 || j2 == 0 || j2 == m - 1))
					cnt++;
				if (j1 % 2 == (n - 1 - j2) % 2) {
					int i_, j_;

					i_ = ((0 + j1) + (n - 1 - j2)) / 2, j_ = ((0 + j1) - (n - 1 - j2)) / 2;
					if (i_ >= 0 && i_ < n && j_ >= 0 && j_ < m)
						cnt++;
					i_ = ((0 - j1) + (n - 1 - j2)) / 2, j_ = ((n - 1 - j2) - (0 - j1)) / 2;
					if (i_ >= 0 && i_ < n && j_ >= 0 && j_ < m)
						cnt++;
				}
				printf("2 %d\n", cnt);
			}
		} else if (s[0] == 'B') {
			if (j1 % 2 != (n - 1 - j2) % 2) {
				printf("0 0\n");
			} else if ((j1 == 0 && j2 == 0 || j1 == m - 1 && j2 == m - 1)
					&& ((n - 1) % ((m - 1) * 2) == 0)
					|| (j1 == 0 && j2 == m - 1 || j1 == m - 1 && j2 == 0)
					&& ((n - 1) % ((m - 1) * 2)) == m - 1) {
				printf("%d 1\n", (n - 1) / (m - 1));
			} else {
				int d = dist(m, j1, n - 1, j2), k, x, y;

				if (d % 2 == 1) {
					k = 0;
					if ((x = n - 1 + j2) <= (y = (m - 1) * (d - 1) + j1 + 0))
						k = (k + choose((y - x) / 2 + d - 2, (y - x) / 2)) % MD;
					if ((x = n - 1 - j2) <= (y = (m - 1) * (d - 1) + m - 1 - j1 - (m - 1)))
						k = (k + choose((y - x) / 2 + d - 2, (y - x) / 2)) % MD;
				} else {
					k = 0;
					if ((x = n - 1 + j2) <= (y = (m - 1) * (d - 1) + m - 1 - j1 + 0))
						k = (k + choose((y - x) / 2 + d - 2, (y - x) / 2)) % MD;
					if ((x = n - 1 - j2) <= (y = (m - 1) * (d - 1) + j1 - (m - 1)))
						k = (k + choose((y - x) / 2 + d - 2, (y - x) / 2)) % MD;
				}
				printf("%d %d\n", d, k);
			}
		} else
			printf("%d %d\n", n - 1, dp[j1][j2]);
	}
	return 0;
}

Compilation message

chessrush.c: In function 'dist':
chessrush.c:73:17: warning: suggest parentheses around '&&' within '||' [-Wparentheses]
   73 |  if (d % 2 == 0 && i2 % (m - 1) > abs_(j1 - j2) || d % 2 == 1 && i2 % (m - 1) > abs_(m - 1 - j1 - j2))
      |      ~~~~~~~~~~~^~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
chessrush.c: In function 'main':
chessrush.c:101:39: warning: suggest parentheses around '&&' within '||' [-Wparentheses]
  101 |    if (j1 == j2 || n == m && (j1 == 0 && j2 == m - 1 || j1 == m - 1 && j2 == 0))
      |                               ~~~~~~~~^~~~~~~~~~~~~~
chessrush.c:101:27: warning: suggest parentheses around '&&' within '||' [-Wparentheses]
  101 |    if (j1 == j2 || n == m && (j1 == 0 && j2 == m - 1 || j1 == m - 1 && j2 == 0))
      |                    ~~~~~~~^~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
chessrush.c:124:24: warning: suggest parentheses around '&&' within '||' [-Wparentheses]
  124 |    } else if ((j1 == 0 && j2 == 0 || j1 == m - 1 && j2 == m - 1)
      |                ~~~~~~~~^~~~~~~~~~
chessrush.c:126:18: warning: suggest parentheses around '&&' within '||' [-Wparentheses]
  126 |      || (j1 == 0 && j2 == m - 1 || j1 == m - 1 && j2 == 0)
      |          ~~~~~~~~^~~~~~~~~~~~~~
chessrush.c:125:6: warning: suggest parentheses around '&&' within '||' [-Wparentheses]
  124 |    } else if ((j1 == 0 && j2 == 0 || j1 == m - 1 && j2 == m - 1)
      |               ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
  125 |      && ((n - 1) % ((m - 1) * 2) == 0)
      |      ^~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
chessrush.c:83:2: warning: ignoring return value of 'scanf' declared with attribute 'warn_unused_result' [-Wunused-result]
   83 |  scanf("%d%d%d", &n, &m, &q);
      |  ^~~~~~~~~~~~~~~~~~~~~~~~~~~
chessrush.c:89:3: warning: ignoring return value of 'scanf' declared with attribute 'warn_unused_result' [-Wunused-result]
   89 |   scanf("%s%d%d", s, &j1, &j2), j1--, j2--;
      |   ^~~~~~~~~~~~~~~~~~~~~~~~~~~~

Subtask #1
0.0 / 0.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 340 KB Output is correct
2 Correct 114 ms 6552 KB Output is correct

Subtask #2
8.0 / 8.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 340 KB Output is correct
2 Correct 1 ms 340 KB Output is correct
3 Correct 1 ms 256 KB Output is correct
4 Correct 13 ms 3412 KB Output is correct

Subtask #3
15.0 / 15.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 212 KB Output is correct
2 Correct 1 ms 296 KB Output is correct
3 Correct 0 ms 296 KB Output is correct
4 Correct 1 ms 340 KB Output is correct

Subtask #4
22.0 / 22.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 212 KB Output is correct
2 Correct 1 ms 296 KB Output is correct
3 Correct 0 ms 296 KB Output is correct
4 Correct 1 ms 340 KB Output is correct
5 Correct 100 ms 8104 KB Output is correct
6 Correct 47 ms 4196 KB Output is correct
7 Correct 2 ms 468 KB Output is correct
8 Correct 280 ms 8108 KB Output is correct
9 Correct 1 ms 340 KB Output is correct
10 Correct 3 ms 936 KB Output is correct

Subtask #5
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 468 KB Output is correct
2 Correct 1 ms 980 KB Output is correct
3 Correct 1 ms 980 KB Output is correct
4 Correct 0 ms 340 KB Output is correct

Subtask #6
8.0 / 8.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 468 KB Output is correct
2 Correct 1 ms 980 KB Output is correct
3 Correct 1 ms 980 KB Output is correct
4 Correct 0 ms 340 KB Output is correct
5 Correct 1 ms 468 KB Output is correct
6 Correct 1 ms 468 KB Output is correct
7 Correct 4 ms 980 KB Output is correct
8 Correct 4 ms 980 KB Output is correct

Subtask #7
15.0 / 15.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 468 KB Output is correct
2 Correct 1 ms 980 KB Output is correct
3 Correct 1 ms 980 KB Output is correct
4 Correct 0 ms 340 KB Output is correct
5 Correct 1 ms 468 KB Output is correct
6 Correct 1 ms 468 KB Output is correct
7 Correct 4 ms 980 KB Output is correct
8 Correct 4 ms 980 KB Output is correct
9 Correct 1 ms 556 KB Output is correct
10 Correct 1 ms 556 KB Output is correct
11 Correct 4 ms 980 KB Output is correct
12 Correct 4 ms 1068 KB Output is correct
13 Correct 1 ms 468 KB Output is correct
14 Correct 0 ms 212 KB Output is correct

Subtask #8
20.0 / 20.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 468 KB Output is correct
2 Correct 1 ms 980 KB Output is correct
3 Correct 1 ms 980 KB Output is correct
4 Correct 0 ms 340 KB Output is correct
5 Correct 1 ms 468 KB Output is correct
6 Correct 1 ms 468 KB Output is correct
7 Correct 4 ms 980 KB Output is correct
8 Correct 4 ms 980 KB Output is correct
9 Correct 1 ms 556 KB Output is correct
10 Correct 1 ms 556 KB Output is correct
11 Correct 4 ms 980 KB Output is correct
12 Correct 4 ms 1068 KB Output is correct
13 Correct 1 ms 468 KB Output is correct
14 Correct 0 ms 212 KB Output is correct
15 Correct 1 ms 468 KB Output is correct
16 Correct 1 ms 552 KB Output is correct
17 Correct 269 ms 8116 KB Output is correct
18 Correct 292 ms 8112 KB Output is correct
19 Correct 246 ms 7808 KB Output is correct
20 Correct 250 ms 8120 KB Output is correct

Subtask #9
7.0 / 7.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 340 KB Output is correct
2 Correct 114 ms 6552 KB Output is correct
3 Correct 1 ms 340 KB Output is correct
4 Correct 1 ms 340 KB Output is correct
5 Correct 1 ms 256 KB Output is correct
6 Correct 13 ms 3412 KB Output is correct
7 Correct 0 ms 212 KB Output is correct
8 Correct 1 ms 296 KB Output is correct
9 Correct 0 ms 296 KB Output is correct
10 Correct 1 ms 340 KB Output is correct
11 Correct 100 ms 8104 KB Output is correct
12 Correct 47 ms 4196 KB Output is correct
13 Correct 2 ms 468 KB Output is correct
14 Correct 280 ms 8108 KB Output is correct
15 Correct 1 ms 340 KB Output is correct
16 Correct 3 ms 936 KB Output is correct
17 Correct 1 ms 468 KB Output is correct
18 Correct 1 ms 980 KB Output is correct
19 Correct 1 ms 980 KB Output is correct
20 Correct 0 ms 340 KB Output is correct
21 Correct 1 ms 468 KB Output is correct
22 Correct 1 ms 468 KB Output is correct
23 Correct 4 ms 980 KB Output is correct
24 Correct 4 ms 980 KB Output is correct
25 Correct 1 ms 556 KB Output is correct
26 Correct 1 ms 556 KB Output is correct
27 Correct 4 ms 980 KB Output is correct
28 Correct 4 ms 1068 KB Output is correct
29 Correct 1 ms 468 KB Output is correct
30 Correct 0 ms 212 KB Output is correct
31 Correct 1 ms 468 KB Output is correct
32 Correct 1 ms 552 KB Output is correct
33 Correct 269 ms 8116 KB Output is correct
34 Correct 292 ms 8112 KB Output is correct
35 Correct 246 ms 7808 KB Output is correct
36 Correct 250 ms 8120 KB Output is correct
37 Correct 244 ms 8120 KB Output is correct
38 Correct 258 ms 8116 KB Output is correct
39 Correct 258 ms 8104 KB Output is correct
40 Correct 1 ms 340 KB Output is correct
41 Correct 228 ms 8108 KB Output is correct
42 Correct 2 ms 340 KB Output is correct