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Submission #673857

# Submission time Handle Problem Language Result Execution time Memory
673857 2022-12-22T09:46:35 Z Duy_e Nautilus (BOI19_nautilus) C++14
100 / 100
 205 ms 158272 KB 
#include <bits/stdc++.h>
#define ll long long
#define pii pair<ll, ll>
#define st first
#define nd second
#define file "test"
#define rep(i, begin, end) for (ll i = (begin); i <= (end); i ++)
#define rrep(i, begin, end) for (ll i = (begin); i >= (end); i --)
using namespace std;
const long long INF = 1e18;
const long long N = 500 + 5;

char a[N][N];
string s;
int R, C, M;

struct node {
    int x, y, i;
    node(int _x, int _y, int _i) {
        x = _x; y = _y; i = _i;
    }

    bool legal() {
        return x >= 1 && x <= R && y >= 1 && y <= C && i <= M && a[x][y] == '.';
    }
};


namespace sub12 {
    
    int dr[] = {-1, 1, 0, 0}, dc[] = {0, 0, -1, 1};
    int dir[300];

    bool dp[N][N][N];

    void init() {
        dir['N'] = 0;
        dir['S'] = 1;
        dir['E'] = 3;
        dir['W'] = 2; 
        dir['?'] = -1;
    }

    node nxt(node x, char ch) {
        int d = dir[ch];
        x.x += dr[d];
        x.y += dc[d];
        x.i ++;
        return x;
    }

    void solve() {
        init();
        queue <node> q;
        
        string direction = "WENS";

        rep(i, 1, R) rep(j, 1, C) if (a[i][j] == '.')
            q.push(node(i, j, 0)), dp[i][j][0] = 1;

        while (q.size()) {
            node u = q.front(); q.pop();
            if (u.i == M) continue;

            char ch = s[u.i];
            for (char x: direction) if (ch == '?' || x == ch) {
                node v = nxt(u, x);
                if (v.legal()) {
                    if (!dp[v.x][v.y][v.i]) {
                        dp[v.x][v.y][v.i] = true;
                        q.push(v);
                    }
                }
            }
        }

        int ans = 0;
        rep(i, 1, R) rep(j, 1, C) if (dp[i][j][M]) ans ++;
    
        cout << ans << '\n';
    }
};

namespace sub3 { // using bitset to speed up dp
    const long long Max = 5e3 + 5;
    bitset <N> sea[N], dp[N][Max];

    void init() {
        rep(i, 1, R) rep(j, 1, C) if (a[i][j] == '.') 
            sea[i].set(j);

        // init each row of the sea
    }

    string direction = "WESN";

    void solve() {
       
        // E, W move in the same row -> (>> 1) or (<< 1)
        init();
        rep(i, 1, R) 
            dp[i][0] = sea[i];

        rep(t, 0, M - 1) {
            for (char ch: direction) if (ch == s[t] || s[t] == '?') {
                rep(i, 1, R) {
                    if (ch == 'W')
                        dp[i][t + 1] |= (dp[i][t] >> 1) & sea[i];
                    
                    if (ch == 'E')
                        dp[i][t + 1] |= (dp[i][t] << 1) & sea[i];

                    if (ch == 'S')
                        dp[i + 1][t + 1] |= dp[i][t] & sea[i + 1];
                    
                    if (ch == 'N')
                        dp[i - 1][t + 1] |= dp[i][t] & sea[i - 1];
                }
            }
        }

        ll ans = 0;
        rep(i, 1, R) ans += dp[i][M].count();

        cout << ans << '\n';
    }
};  

int main()
{
    ios_base::sync_with_stdio(0); cin.tie(0); cout.tie(0);
    // #ifndef ONLINE_JUDGE
    //     freopen(file".inp", "r", stdin); freopen(file".out", "w", stdout);
    // #endif
    
    cin >> R >> C >> M;

    rep(i, 1, R) rep(j, 1, C) 
        cin >> a[i][j];

    cin >> s;
    // if (M <= 500)
    //     sub12 :: solve();
    // else 
    sub3 :: solve();
    return 0;
}

Compilation message

nautilus.cpp: In function 'node sub12::nxt(node, char)':
nautilus.cpp:45:21: warning: array subscript has type 'char' [-Wchar-subscripts]
   45 |         int d = dir[ch];
      |                     ^~

Subtask #1
29.0 / 29.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 1492 KB Output is correct
2 Correct 1 ms 1492 KB Output is correct
3 Correct 1 ms 1492 KB Output is correct
4 Correct 1 ms 1500 KB Output is correct
5 Correct 1 ms 1492 KB Output is correct
6 Correct 1 ms 1496 KB Output is correct

Subtask #2
37.0 / 37.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 1492 KB Output is correct
2 Correct 1 ms 1492 KB Output is correct
3 Correct 1 ms 1492 KB Output is correct
4 Correct 1 ms 1500 KB Output is correct
5 Correct 1 ms 1492 KB Output is correct
6 Correct 1 ms 1496 KB Output is correct
7 Correct 1 ms 1492 KB Output is correct
8 Correct 1 ms 1492 KB Output is correct
9 Correct 1 ms 1492 KB Output is correct
10 Correct 1 ms 1492 KB Output is correct
11 Correct 1 ms 1492 KB Output is correct
12 Correct 2 ms 1492 KB Output is correct
13 Correct 1 ms 1496 KB Output is correct
14 Correct 2 ms 1496 KB Output is correct
15 Correct 2 ms 1496 KB Output is correct
16 Correct 1 ms 1492 KB Output is correct
17 Correct 2 ms 1492 KB Output is correct
18 Correct 2 ms 1492 KB Output is correct
19 Correct 2 ms 1492 KB Output is correct
20 Correct 2 ms 1492 KB Output is correct
21 Correct 2 ms 1496 KB Output is correct

Subtask #3
34.0 / 34.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 1492 KB Output is correct
2 Correct 1 ms 1492 KB Output is correct
3 Correct 1 ms 1492 KB Output is correct
4 Correct 1 ms 1500 KB Output is correct
5 Correct 1 ms 1492 KB Output is correct
6 Correct 1 ms 1496 KB Output is correct
7 Correct 1 ms 1492 KB Output is correct
8 Correct 1 ms 1492 KB Output is correct
9 Correct 1 ms 1492 KB Output is correct
10 Correct 1 ms 1492 KB Output is correct
11 Correct 1 ms 1492 KB Output is correct
12 Correct 2 ms 1492 KB Output is correct
13 Correct 1 ms 1496 KB Output is correct
14 Correct 2 ms 1496 KB Output is correct
15 Correct 2 ms 1496 KB Output is correct
16 Correct 1 ms 1492 KB Output is correct
17 Correct 2 ms 1492 KB Output is correct
18 Correct 2 ms 1492 KB Output is correct
19 Correct 2 ms 1492 KB Output is correct
20 Correct 2 ms 1492 KB Output is correct
21 Correct 2 ms 1496 KB Output is correct
22 Correct 132 ms 158188 KB Output is correct
23 Correct 132 ms 158132 KB Output is correct
24 Correct 140 ms 158156 KB Output is correct
25 Correct 170 ms 158168 KB Output is correct
26 Correct 130 ms 158116 KB Output is correct
27 Correct 169 ms 158092 KB Output is correct
28 Correct 173 ms 158148 KB Output is correct
29 Correct 181 ms 158096 KB Output is correct
30 Correct 170 ms 158084 KB Output is correct
31 Correct 173 ms 158148 KB Output is correct
32 Correct 205 ms 158180 KB Output is correct
33 Correct 200 ms 158272 KB Output is correct
34 Correct 204 ms 158156 KB Output is correct
35 Correct 196 ms 158104 KB Output is correct
36 Correct 201 ms 158128 KB Output is correct