oj.uz

Submission #415725

# Submission time Handle Problem Language Result Execution time Memory
415725 2021-06-01T12:13:09 Z dolphingarlic Chess Rush (CEOI20_chessrush) C++14
100 / 100
 1332 ms 222020 KB 
#include <bits/stdc++.h>

#include "arithmetics.h"
typedef long long ll;
using namespace std;

const int MOD = 1e9 + 7;

int pow(int base, int exp) {
    base %= MOD;
    int result = 1;
    while (exp > 0) {
        if (exp & 1) result = (1ll * result * base) % MOD;
        base = (1ll * base * base) % MOD;
        exp >>= 1;
    }
    return result;
}

pair<int, int> solve_bishop(int x, int y, int r, int c) {
    int moves = 1 + (r - x + c - 2) / (c - 1);
    x--, y--;
    int end_col = 1 + (r - x + c - 3) % (c - 1);
    if (moves & 1) y = c - y - 1;
    int rem;
    if (end_col <= y)
        rem = (y - end_col) / 2;
    else {
        moves++;
        rem = c - 1 - (end_col + y) / 2;
    }
    int ways = 1;
    for (int i = 1; i <= rem; i++)
        ways = Div(Mul(ways, moves + rem - 1 - i), i);
    return {moves, ways};
}

vector<vector<int>> precompute_king(int r, int c) {
    vector<vector<int>> nxt(c + 2, vector<int>(c + 2, 0));
    if (r == 2) {
        for (int i = 1; i <= c; i++)
            nxt[i][i - 1] = nxt[i][i] = nxt[i][i + 1] = 1;
        for (int i = 1; i <= c; i++)
            nxt[i][0] = nxt[i][c + 1] = nxt[0][i] = nxt[c + 1][i] = 0;
    } else if (r & 1) {
        vector<vector<int>> dp = precompute_king(r / 2 + 1, c);
        for (int j = 1; j <= c; j++)
            for (int k = 1; k <= c; k++) {
                nxt[1][j] = Add(nxt[1][j], Mul(dp[1][k], dp[k][j]));
                nxt[j][1] = nxt[1][j];
            }
        for (int i = 2; i <= c; i++)
            for (int j = 2; j <= c; j++)
                if (i + j <= c + 1)
                    nxt[i][j] = Add(nxt[i - 1][j - 1], nxt[1][i + j - 1]);
        for (int i = 2; i <= c; i++)
            for (int j = 2; j <= c; j++)
                if (i + j > c + 1)
                    nxt[i][j] = nxt[c + 1 - i][c + 1 - j];
    } else {
        vector<vector<int>> dp = precompute_king(r - 1, c);
        for (int i = 1; i <= c; i++)
            for (int j = 1; j <= c; j++)
                nxt[i][j] = Add(dp[i][j - 1], Add(dp[i][j], dp[i][j + 1]));
    }
    return nxt;
}

int dp[1002][1002][2];

int main() {
    cin.tie(0)->sync_with_stdio(0);
    int r, c, q;
    cin >> r >> c >> q;
    vector<vector<int>> dp = precompute_king(r, c);
    while (q--) {
        char p;
        int x, y;
        cin >> p >> x >> y;
        switch (p) {
            case 'P':
                if (x == y)
                    cout << r - 1 << " 1\n";
                else
                    cout << "0 0\n";
                break;
            case 'R':
                if (x == y)
                    cout << "1 1\n";
                else
                    cout << "2 2\n";
                break;
            case 'Q':
                if (x == y || x + r - 1 == y || x - r + 1 == y)
                    cout << "1 1\n";
                else {
                    int ways = 4;
                    // Extremities
                    if (r == c && (y == 1 || y == r || x == 1 || x == r))
                        ways++;
                    if (x + y + r & 1) {
                        // Double diagonal
                        if (r - x < y) ways++;
                        if (r - c + x - 1 < c - y + 1) ways++;
                    }
                    cout << "2 " << ways << '\n';
                }
                break;
            case 'B':
                if (x + y + r & 1) {
                    if (r == c && ((x == 1 && y == c) || (x == c && y == 1)))
                        cout << "1 1\n";
                    else {
                        pair<int, int> move_left = solve_bishop(x, y, r, c);
                        pair<int, int> move_right =
                            solve_bishop(c - x + 1, c - y + 1, r, c);
                        if (move_left.first > move_right.first)
                            move_left = move_right;
                        else if (move_left.first == move_right.first) {
                            move_left.second = Add(move_left.second, move_right.second);
                        }
                        cout << move_left.first << ' ' << move_left.second
                             << '\n';
                    }
                } else
                    cout << "0 0\n";
                break;
            case 'K':
                cout << r - 1 << ' ' << dp[x][y] << '\n';
                break;
        }
    }
    return 0;
}

Compilation message

chessrush.cpp: In function 'int main()':
chessrush.cpp:101:31: warning: suggest parentheses around '+' in operand of '&' [-Wparentheses]
  101 |                     if (x + y + r & 1) {
      |                         ~~~~~~^~~
chessrush.cpp:110:27: warning: suggest parentheses around '+' in operand of '&' [-Wparentheses]
  110 |                 if (x + y + r & 1) {
      |                     ~~~~~~^~~

Subtask #1
0.0 / 0.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 204 KB Output is correct
2 Correct 474 ms 79232 KB Output is correct

Subtask #2
8.0 / 8.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 204 KB Output is correct
2 Correct 2 ms 332 KB Output is correct
3 Correct 1 ms 204 KB Output is correct
4 Correct 47 ms 7500 KB Output is correct

Subtask #3
15.0 / 15.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 204 KB Output is correct
2 Correct 2 ms 204 KB Output is correct
3 Correct 1 ms 204 KB Output is correct
4 Correct 2 ms 204 KB Output is correct

Subtask #4
22.0 / 22.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 204 KB Output is correct
2 Correct 2 ms 204 KB Output is correct
3 Correct 1 ms 204 KB Output is correct
4 Correct 2 ms 204 KB Output is correct
5 Correct 420 ms 67600 KB Output is correct
6 Correct 216 ms 31380 KB Output is correct
7 Correct 4 ms 460 KB Output is correct
8 Correct 1224 ms 194404 KB Output is correct
9 Correct 2 ms 332 KB Output is correct
10 Correct 16 ms 1856 KB Output is correct

Subtask #5
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 3 ms 332 KB Output is correct
2 Correct 3 ms 684 KB Output is correct
3 Correct 4 ms 560 KB Output is correct
4 Correct 1 ms 300 KB Output is correct

Subtask #6
8.0 / 8.0

# Verdict Execution time Memory Grader output
1 Correct 3 ms 332 KB Output is correct
2 Correct 3 ms 684 KB Output is correct
3 Correct 4 ms 560 KB Output is correct
4 Correct 1 ms 300 KB Output is correct
5 Correct 2 ms 332 KB Output is correct
6 Correct 2 ms 332 KB Output is correct
7 Correct 4 ms 588 KB Output is correct
8 Correct 4 ms 716 KB Output is correct

Subtask #7
15.0 / 15.0

# Verdict Execution time Memory Grader output
1 Correct 3 ms 332 KB Output is correct
2 Correct 3 ms 684 KB Output is correct
3 Correct 4 ms 560 KB Output is correct
4 Correct 1 ms 300 KB Output is correct
5 Correct 2 ms 332 KB Output is correct
6 Correct 2 ms 332 KB Output is correct
7 Correct 4 ms 588 KB Output is correct
8 Correct 4 ms 716 KB Output is correct
9 Correct 3 ms 460 KB Output is correct
10 Correct 4 ms 560 KB Output is correct
11 Correct 15 ms 2856 KB Output is correct
12 Correct 14 ms 2528 KB Output is correct
13 Correct 2 ms 460 KB Output is correct
14 Correct 1 ms 332 KB Output is correct

Subtask #8
20.0 / 20.0

# Verdict Execution time Memory Grader output
1 Correct 3 ms 332 KB Output is correct
2 Correct 3 ms 684 KB Output is correct
3 Correct 4 ms 560 KB Output is correct
4 Correct 1 ms 300 KB Output is correct
5 Correct 2 ms 332 KB Output is correct
6 Correct 2 ms 332 KB Output is correct
7 Correct 4 ms 588 KB Output is correct
8 Correct 4 ms 716 KB Output is correct
9 Correct 3 ms 460 KB Output is correct
10 Correct 4 ms 560 KB Output is correct
11 Correct 15 ms 2856 KB Output is correct
12 Correct 14 ms 2528 KB Output is correct
13 Correct 2 ms 460 KB Output is correct
14 Correct 1 ms 332 KB Output is correct
15 Correct 3 ms 588 KB Output is correct
16 Correct 3 ms 588 KB Output is correct
17 Correct 1169 ms 194344 KB Output is correct
18 Correct 1332 ms 222020 KB Output is correct
19 Correct 983 ms 160852 KB Output is correct
20 Correct 1042 ms 166628 KB Output is correct

Subtask #9
7.0 / 7.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 204 KB Output is correct
2 Correct 474 ms 79232 KB Output is correct
3 Correct 2 ms 204 KB Output is correct
4 Correct 2 ms 332 KB Output is correct
5 Correct 1 ms 204 KB Output is correct
6 Correct 47 ms 7500 KB Output is correct
7 Correct 1 ms 204 KB Output is correct
8 Correct 2 ms 204 KB Output is correct
9 Correct 1 ms 204 KB Output is correct
10 Correct 2 ms 204 KB Output is correct
11 Correct 420 ms 67600 KB Output is correct
12 Correct 216 ms 31380 KB Output is correct
13 Correct 4 ms 460 KB Output is correct
14 Correct 1224 ms 194404 KB Output is correct
15 Correct 2 ms 332 KB Output is correct
16 Correct 16 ms 1856 KB Output is correct
17 Correct 3 ms 332 KB Output is correct
18 Correct 3 ms 684 KB Output is correct
19 Correct 4 ms 560 KB Output is correct
20 Correct 1 ms 300 KB Output is correct
21 Correct 2 ms 332 KB Output is correct
22 Correct 2 ms 332 KB Output is correct
23 Correct 4 ms 588 KB Output is correct
24 Correct 4 ms 716 KB Output is correct
25 Correct 3 ms 460 KB Output is correct
26 Correct 4 ms 560 KB Output is correct
27 Correct 15 ms 2856 KB Output is correct
28 Correct 14 ms 2528 KB Output is correct
29 Correct 2 ms 460 KB Output is correct
30 Correct 1 ms 332 KB Output is correct
31 Correct 3 ms 588 KB Output is correct
32 Correct 3 ms 588 KB Output is correct
33 Correct 1169 ms 194344 KB Output is correct
34 Correct 1332 ms 222020 KB Output is correct
35 Correct 983 ms 160852 KB Output is correct
36 Correct 1042 ms 166628 KB Output is correct
37 Correct 1170 ms 186364 KB Output is correct
38 Correct 1233 ms 222020 KB Output is correct
39 Correct 1224 ms 198468 KB Output is correct
40 Correct 2 ms 332 KB Output is correct
41 Correct 1045 ms 174424 KB Output is correct
42 Correct 2 ms 332 KB Output is correct