oj.uz

Submission #234016

# Submission time Handle Problem Language Result Execution time Memory
234016 2020-05-22T19:58:32 Z dolphingarlic Soccer (JOI17_soccer) C++14
100 / 100
 627 ms 24804 KB 
/*
JOI 2017 Soccer
- First, find the minimum distance to any player for each coordinate
- Notice how the game will look like
    - Run a few steps
    - Kick the ball
    - Another player goes to the ball
    - Repeat
- Then we just do Dijkstra
- Complexity: O(H^3)
*/

#include <bits/stdc++.h>
#define FOR(i, x, y) for (int i = x; i < y; i++)
typedef long long ll;
using namespace std;

struct Ball {
    int x, y, d;
    ll f;
};

bool operator<(Ball A, Ball B) { return A.f > B.f; }

int h, w;
ll vert[501][501], to_p[501][501], dp[501][501][6];
bool visited[501][501][6];
int dx[6]{0, 0, 0, 0, 1, -1}, dy[6]{0, 0, 1, -1, 0, 0};

bool inside(int x, int y) { return (~x && ~y && x <= h && y <= w); }

int main() {
    ios_base::sync_with_stdio(0);
    cin.tie(0);
    int n;
    ll a, b, c;
    Ball dest;
    priority_queue<Ball> pq;
    cin >> h >> w >> a >> b >> c >> n;

    memset(vert, 0x3f, sizeof(vert));
    memset(to_p, 0x3f, sizeof(to_p));
    memset(dp, 0x3f, sizeof(dp));
    FOR(i, 0, n) {
        int x, y;
        cin >> x >> y;
        vert[x][y] = 0;
        if (!i) pq.push({x, y, 1, 0}), dp[x][y][1] = 0;
        if (i == n - 1) dest = {x, y, 0, 0};
    }

    FOR(i, 0, h + 1) FOR(j, 0, w + 1) {
        if (i) {
            vert[i][j] = min(vert[i][j], vert[i - 1][j] + 1);
            vert[h - i][j] = min(vert[h - i][j], vert[h - i + 1][j] + 1);
        }
    }
    FOR(i, 0, h + 1) FOR(j, 0, w + 1) FOR(k, 0, w + 1) {
        to_p[i][j] = min(to_p[i][j], vert[i][k] + abs(j - k));
    }

    while (pq.size()) {
        Ball curr = pq.top();
        pq.pop();

        if (!visited[curr.x][curr.y][curr.d]) {
            visited[curr.x][curr.y][curr.d] = true;

            // Ball is at (x, y)
            if (!curr.d) {  // Nearest player runs to ball
                if (curr.f + to_p[curr.x][curr.y] * c < dp[curr.x][curr.y][1]) {
                    dp[curr.x][curr.y][1] = curr.f + to_p[curr.x][curr.y] * c;
                    pq.push({curr.x, curr.y, 1, curr.f + to_p[curr.x][curr.y] * c});
                }
            } else if (curr.d == 1) {  // Player has ball
                FOR(i, 2, 6) {
                    // Player runs in direction i with the ball
                    int nx = curr.x + dx[i], ny = curr.y + dy[i];
                    if (inside(nx, ny) && curr.f + c < dp[nx][ny][1]) {
                        dp[nx][ny][1] = curr.f + c;
                        pq.push({nx, ny, 1, curr.f + c});
                    }
                    // Player kicks the ball in direction i
                    if (curr.f + b < dp[curr.x][curr.y][i]) {
                        dp[curr.x][curr.y][i] = curr.f + b;
                        pq.push({curr.x, curr.y, i, curr.f + b});
                    }
                }
            } else {  // Ball is/was moving in direction d
                // Ball continues in the direction
                int nx = curr.x + dx[curr.d], ny = curr.y + dy[curr.d];
                if (inside(nx, ny) && curr.f + a < dp[nx][ny][curr.d]) {
                    dp[nx][ny][curr.d] = curr.f + a;
                    pq.push({nx, ny, curr.d, curr.f + a});
                }
                // Ball stops
                if (curr.f < dp[curr.x][curr.y][0]) {
                    dp[curr.x][curr.y][0] = curr.f;
                    pq.push({curr.x, curr.y, 0, curr.f});
                }
            }
        }
    }

    ll ans = LLONG_MAX;
    FOR(i, 0, 6) ans = min(ans, dp[dest.x][dest.y][i]);
    cout << ans;
    return 0;
}

Compilation message

soccer.cpp: In function 'int main()':
soccer.cpp:37:10: warning: 'dest.Ball::x' may be used uninitialized in this function [-Wmaybe-uninitialized]
     Ball dest;
          ^~~~
soccer.cpp:37:10: warning: 'dest.Ball::y' may be used uninitialized in this function [-Wmaybe-uninitialized]

Subtask #1
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 105 ms 18672 KB Output is correct
2 Correct 13 ms 16128 KB Output is correct
3 Correct 465 ms 23648 KB Output is correct
4 Correct 492 ms 23936 KB Output is correct
5 Correct 100 ms 17144 KB Output is correct

Subtask #2
30.0 / 30.0

# Verdict Execution time Memory Grader output
1 Correct 494 ms 23908 KB Output is correct
2 Correct 499 ms 23780 KB Output is correct
3 Correct 382 ms 23524 KB Output is correct
4 Correct 430 ms 24040 KB Output is correct
5 Correct 372 ms 23784 KB Output is correct
6 Correct 461 ms 23872 KB Output is correct
7 Correct 505 ms 23780 KB Output is correct
8 Correct 491 ms 23780 KB Output is correct
9 Correct 517 ms 23900 KB Output is correct
10 Correct 62 ms 19192 KB Output is correct
11 Correct 501 ms 23780 KB Output is correct
12 Correct 510 ms 23908 KB Output is correct
13 Correct 347 ms 23524 KB Output is correct
14 Correct 487 ms 23904 KB Output is correct
15 Correct 370 ms 24032 KB Output is correct

Subtask #3
65.0 / 65.0

# Verdict Execution time Memory Grader output
1 Correct 105 ms 18672 KB Output is correct
2 Correct 13 ms 16128 KB Output is correct
3 Correct 465 ms 23648 KB Output is correct
4 Correct 492 ms 23936 KB Output is correct
5 Correct 100 ms 17144 KB Output is correct
6 Correct 494 ms 23908 KB Output is correct
7 Correct 499 ms 23780 KB Output is correct
8 Correct 382 ms 23524 KB Output is correct
9 Correct 430 ms 24040 KB Output is correct
10 Correct 372 ms 23784 KB Output is correct
11 Correct 461 ms 23872 KB Output is correct
12 Correct 505 ms 23780 KB Output is correct
13 Correct 491 ms 23780 KB Output is correct
14 Correct 517 ms 23900 KB Output is correct
15 Correct 62 ms 19192 KB Output is correct
16 Correct 501 ms 23780 KB Output is correct
17 Correct 510 ms 23908 KB Output is correct
18 Correct 347 ms 23524 KB Output is correct
19 Correct 487 ms 23904 KB Output is correct
20 Correct 370 ms 24032 KB Output is correct
21 Correct 126 ms 17396 KB Output is correct
22 Correct 607 ms 23776 KB Output is correct
23 Correct 549 ms 20812 KB Output is correct
24 Correct 617 ms 20712 KB Output is correct
25 Correct 561 ms 23908 KB Output is correct
26 Correct 578 ms 23904 KB Output is correct
27 Correct 412 ms 18360 KB Output is correct
28 Correct 400 ms 18472 KB Output is correct
29 Correct 537 ms 21356 KB Output is correct
30 Correct 380 ms 18296 KB Output is correct
31 Correct 545 ms 23904 KB Output is correct
32 Correct 620 ms 24804 KB Output is correct
33 Correct 479 ms 23776 KB Output is correct
34 Correct 627 ms 23956 KB Output is correct
35 Correct 329 ms 18424 KB Output is correct