oj.uz

Submission #661077

# Submission time Handle Problem Language Result Execution time Memory
661077 2022-11-24T08:25:58 Z lunchbox1 Chess Rush (CEOI20_chessrush) C++17
100 / 100
 300 ms 8268 KB 
// 100p
#include <array>
#include <iostream>
#include <cmath>
using namespace std;

const int N = 1000, P = 1e9 + 7;

int solve(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 m;

struct mat {
 array<array<int, N>, N> f;

 void identity() {
  for (int i = 0; i < m; i++) {
   fill(f[i].begin(), f[i].end(), 0);
   f[i][i] = 1;
  }
 }
 void square() {
  static array<array<int, N>, N> g;
  for (int i = 0; i < m; i++)
   fill(g[i].begin(), g[i].end(), 0);
  for (int j = 0; j < m; j++)
   for (int i = 0; i < m; i++)
    g[0][j] = (g[0][j] + (long long) f[0][i] * f[i][j]) % P;
  for (int i = 0; i < m; i++)
   g[i][0] = g[0][i];
  for (int i = 1; i < m; i++)
   for (int j = 1; i + j < m; j++)
    g[i][j] = (g[i - 1][j - 1] + g[0][i + j]) % P;
  for (int i = 0; i < m; i++)
   for (int j = 0; i + j < m; j++)
    g[m - 1 - i][m - 1 - j] = g[i][j];
  f = g;
 }
 void once() {
  static array<int, N> g;
  for (int i = 0; i < m; i++) {
   g = f[i];
   for (int j = 0; j < m; j++) {
    f[i][j] = g[j];
    if (j > 0)
     f[i][j] = (f[i][j] + g[j - 1]) % P;
    if (j < m - 1)
     f[i][j] = (f[i][j] + g[j + 1]) % P;
   }
  }
 }
 void power(int k) {
  if (k == 0)
   identity();
  else {
   power(k / 2);
   square();
   if (k & 1)
    once();
  }
 }
} dp;

int v[N + 1];

int ch(int n, int k) {
 return k == 0 ? 1 : 1LL * ch(n - 1, k - 1) * n % P * v[k] % P;
}

int main() {
 ios::sync_with_stdio(0), cin.tie(0);
 v[1] = 1;
 for (int i = 2; i <= N; i++)
  v[i] = 1LL * v[i - P % i] * (P / i + 1) % P;
 int n, q;
 cin >> n >> m >> q;
 dp.power(n - 1);
 while (q--) {
  char t;
  int j1, jn;
  cin >> t >> j1 >> jn, j1--, jn--;
  if (t == 'P') {
   if (j1 == jn)
    cout << n - 1 << ' ' << 1 << '\n';
   else
    cout << 0 << ' ' << 0 << '\n';
  } else if (t == 'R') {
   if (j1 == jn)
    cout << 1 << ' ' << 1 << '\n';
   else
    cout << 2 << ' ' << 2 << '\n';
  } else if (t == 'Q') {
   if (j1 == jn || (n == m && ((j1 == 0 && jn == m - 1) || (j1 == m - 1 && jn == 0))))
    cout << 1 << ' ' << 1 << '\n';
   else {
    int c = 4; // ll, ll, dl, dl
    if (n == m && (j1 == 0 || j1 == m - 1 || jn == 0 || jn == m - 1)) // ld
     c++;
    if ((0 + j1) % 2 == (n - 1 + jn) % 2) { // dd
     int x, y;
     x = ((0 + j1) + (n - 1 - jn)) / 2, y = ((0 + j1) - (n - 1 - jn)) / 2;
     c += x >= 0 && x < n && y >= 0 && y < m;
     x = ((0 - j1) + (n - 1 - jn)) / 2, y = ((n - 1 - jn) - (0 - j1)) / 2;
     c += x >= 0 && x < n && y >= 0 && y < m;
    }
    cout << 2 << ' ' << c << '\n';
   }
  } else if (t == 'B') {
   if ((0 + j1) % 2 != (n - 1 + jn) % 2)
    cout << 0 << ' ' << 0 << '\n';
   else if (((j1 == 0 && jn == 0) || (j1 == m - 1 && jn == m - 1)) && ((n - 1) % ((m - 1) * 2) == 0))
    cout << (n - 1) / (m - 1) << ' ' << 1 << '\n';
   else if (((j1 == 0 && jn == m - 1) || (j1 == m - 1 && jn == 0)) && (((n - 1) % ((m - 1) * 2)) == m - 1))
    cout << (n - 1) / (m - 1) << ' ' << 1 << '\n';
   else {
    int d = solve(m, j1, n - 1, jn), c = 0, x, y;
    if (d % 2) {
     if ((x = n - 1 + jn) <= (y = (m - 1) * (d - 1) + j1 + 0))
      c = (c + ch((y - x) / 2 + d - 2, (y - x) / 2)) % P;
     if ((x = n - 1 - jn) <= (y = (m - 1) * (d - 1) + m - 1 - j1 - (m - 1)))
      c = (c + ch((y - x) / 2 + d - 2, (y - x) / 2)) % P;
    } else {
     if ((x = n - 1 + jn) <= (y = (m - 1) * (d - 1) + m - 1 - j1 + 0))
      c = (c + ch((y - x) / 2 + d - 2, (y - x) / 2)) % P;
     if ((x = n - 1 - jn) <= (y = (m - 1) * (d - 1) + j1 - (m - 1)))
      c = (c + ch((y - x) / 2 + d - 2, (y - x) / 2)) % P;
    }
    cout << d << ' ' << c << '\n';
   }
  } else
   cout << n - 1 << ' ' << dp.f[j1][jn] << '\n';
 }
 return 0;
}

Subtask #1
0.0 / 0.0

# Verdict Execution time Memory Grader output
1 Correct 3 ms 4180 KB Output is correct
2 Correct 120 ms 7380 KB Output is correct

Subtask #2
8.0 / 8.0

# Verdict Execution time Memory Grader output
1 Correct 3 ms 4284 KB Output is correct
2 Correct 6 ms 4304 KB Output is correct
3 Correct 3 ms 4180 KB Output is correct
4 Correct 17 ms 5716 KB Output is correct

Subtask #3
15.0 / 15.0

# Verdict Execution time Memory Grader output
1 Correct 3 ms 4180 KB Output is correct
2 Correct 4 ms 4180 KB Output is correct
3 Correct 3 ms 4180 KB Output is correct
4 Correct 3 ms 4308 KB Output is correct

Subtask #4
22.0 / 22.0

# Verdict Execution time Memory Grader output
1 Correct 3 ms 4180 KB Output is correct
2 Correct 4 ms 4180 KB Output is correct
3 Correct 3 ms 4180 KB Output is correct
4 Correct 3 ms 4308 KB Output is correct
5 Correct 100 ms 8148 KB Output is correct
6 Correct 51 ms 6200 KB Output is correct
7 Correct 9 ms 4308 KB Output is correct
8 Correct 282 ms 8268 KB Output is correct
9 Correct 7 ms 4180 KB Output is correct
10 Correct 10 ms 4596 KB Output is correct

Subtask #5
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 4 ms 4308 KB Output is correct
2 Correct 4 ms 4564 KB Output is correct
3 Correct 4 ms 4564 KB Output is correct
4 Correct 3 ms 4180 KB Output is correct

Subtask #6
8.0 / 8.0

# Verdict Execution time Memory Grader output
1 Correct 4 ms 4308 KB Output is correct
2 Correct 4 ms 4564 KB Output is correct
3 Correct 4 ms 4564 KB Output is correct
4 Correct 3 ms 4180 KB Output is correct
5 Correct 4 ms 4308 KB Output is correct
6 Correct 4 ms 4308 KB Output is correct
7 Correct 5 ms 4612 KB Output is correct
8 Correct 5 ms 4560 KB Output is correct

Subtask #7
15.0 / 15.0

# Verdict Execution time Memory Grader output
1 Correct 4 ms 4308 KB Output is correct
2 Correct 4 ms 4564 KB Output is correct
3 Correct 4 ms 4564 KB Output is correct
4 Correct 3 ms 4180 KB Output is correct
5 Correct 4 ms 4308 KB Output is correct
6 Correct 4 ms 4308 KB Output is correct
7 Correct 5 ms 4612 KB Output is correct
8 Correct 5 ms 4560 KB Output is correct
9 Correct 6 ms 4304 KB Output is correct
10 Correct 7 ms 4308 KB Output is correct
11 Correct 13 ms 4564 KB Output is correct
12 Correct 11 ms 4652 KB Output is correct
13 Correct 7 ms 4308 KB Output is correct
14 Correct 6 ms 4176 KB Output is correct

Subtask #8
20.0 / 20.0

# Verdict Execution time Memory Grader output
1 Correct 4 ms 4308 KB Output is correct
2 Correct 4 ms 4564 KB Output is correct
3 Correct 4 ms 4564 KB Output is correct
4 Correct 3 ms 4180 KB Output is correct
5 Correct 4 ms 4308 KB Output is correct
6 Correct 4 ms 4308 KB Output is correct
7 Correct 5 ms 4612 KB Output is correct
8 Correct 5 ms 4560 KB Output is correct
9 Correct 6 ms 4304 KB Output is correct
10 Correct 7 ms 4308 KB Output is correct
11 Correct 13 ms 4564 KB Output is correct
12 Correct 11 ms 4652 KB Output is correct
13 Correct 7 ms 4308 KB Output is correct
14 Correct 6 ms 4176 KB Output is correct
15 Correct 8 ms 4308 KB Output is correct
16 Correct 9 ms 4380 KB Output is correct
17 Correct 293 ms 8160 KB Output is correct
18 Correct 300 ms 8264 KB Output is correct
19 Correct 231 ms 8012 KB Output is correct
20 Correct 238 ms 8148 KB Output is correct

Subtask #9
7.0 / 7.0

# Verdict Execution time Memory Grader output
1 Correct 3 ms 4180 KB Output is correct
2 Correct 120 ms 7380 KB Output is correct
3 Correct 3 ms 4284 KB Output is correct
4 Correct 6 ms 4304 KB Output is correct
5 Correct 3 ms 4180 KB Output is correct
6 Correct 17 ms 5716 KB Output is correct
7 Correct 3 ms 4180 KB Output is correct
8 Correct 4 ms 4180 KB Output is correct
9 Correct 3 ms 4180 KB Output is correct
10 Correct 3 ms 4308 KB Output is correct
11 Correct 100 ms 8148 KB Output is correct
12 Correct 51 ms 6200 KB Output is correct
13 Correct 9 ms 4308 KB Output is correct
14 Correct 282 ms 8268 KB Output is correct
15 Correct 7 ms 4180 KB Output is correct
16 Correct 10 ms 4596 KB Output is correct
17 Correct 4 ms 4308 KB Output is correct
18 Correct 4 ms 4564 KB Output is correct
19 Correct 4 ms 4564 KB Output is correct
20 Correct 3 ms 4180 KB Output is correct
21 Correct 4 ms 4308 KB Output is correct
22 Correct 4 ms 4308 KB Output is correct
23 Correct 5 ms 4612 KB Output is correct
24 Correct 5 ms 4560 KB Output is correct
25 Correct 6 ms 4304 KB Output is correct
26 Correct 7 ms 4308 KB Output is correct
27 Correct 13 ms 4564 KB Output is correct
28 Correct 11 ms 4652 KB Output is correct
29 Correct 7 ms 4308 KB Output is correct
30 Correct 6 ms 4176 KB Output is correct
31 Correct 8 ms 4308 KB Output is correct
32 Correct 9 ms 4380 KB Output is correct
33 Correct 293 ms 8160 KB Output is correct
34 Correct 300 ms 8264 KB Output is correct
35 Correct 231 ms 8012 KB Output is correct
36 Correct 238 ms 8148 KB Output is correct
37 Correct 265 ms 8156 KB Output is correct
38 Correct 297 ms 8148 KB Output is correct
39 Correct 286 ms 8152 KB Output is correct
40 Correct 3 ms 4308 KB Output is correct
41 Correct 243 ms 8144 KB Output is correct
42 Correct 3 ms 4308 KB Output is correct