QOJ.ac

QOJ

IDProblemSubmitterResultTimeMemoryLanguageFile sizeSubmit timeJudge time
#328026#833. Cells BlockingHunsterTL 1ms10012kbC++143.2kb2024-02-15 16:18:482024-02-15 16:18:50

Judging History

你现在查看的是最新测评结果

  • [2024-02-15 16:18:50]
  • 评测
  • 测评结果:TL
  • 用时:1ms
  • 内存:10012kb
  • [2024-02-15 16:18:48]
  • 提交

answer

#include <bits/stdc++.h>

using LL = long long;

constexpr int N = 3003;

int n, m;
char map[N][N];
bool vis1[N][N], vis2[N][N];
bool tag[N][N];

void dfs1(int x, int y) {
    vis1[x][y] = 1;
    if (int tx = x + 1, ty = y; tx <= n && map[tx][ty] == '.' && !vis1[tx][ty]) dfs1(tx, ty);
    if (int tx = x, ty = y + 1; ty <= m && map[tx][ty] == '.' && !vis1[tx][ty]) dfs1(tx, ty);
}
void dfs2(int x, int y) {
    vis2[x][y] = 1;
    if (int tx = x - 1, ty = y; tx >= 1 && map[tx][ty] == '.' && !vis2[tx][ty]) dfs2(tx, ty);
    if (int tx = x, ty = y - 1; ty >= 1 && map[tx][ty] == '.' && !vis2[tx][ty]) dfs2(tx, ty);
}

using Path = std::vector<std::pair<int, int>>;
int count(Path a, Path b) {
    int cnt = 0;
    for (int i = 0; i < a.size(); i++) if (a[i] == b[i])
        cnt += !tag[a[i].first][a[i].second];
    return cnt;
}
Path merge(Path a, Path b) {
    for (auto t : b) a.push_back(t);
    return a;
}

Path to_s(int x, int y, bool tag) {
    if (x == 1 && y == 1) return {};
    if (tag) {
        if (int tx = x - 1, ty = y; tx >= 1 && vis1[tx][ty]) return merge(to_s(tx, ty, tag), {{tx, ty}});
        if (int tx = x, ty = y - 1; ty >= 1 && vis1[tx][ty]) return merge(to_s(tx, ty, tag), {{tx, ty}});
    }
    else {
        if (int tx = x, ty = y - 1; ty >= 1 && vis1[tx][ty]) return merge(to_s(tx, ty, tag), {{tx, ty}});
        if (int tx = x - 1, ty = y; tx >= 1 && vis1[tx][ty]) return merge(to_s(tx, ty, tag), {{tx, ty}});
    }
    assert(false);
}
Path to_e(int x, int y, bool tag) {
    if (x == n && y == m) return {};
    if (tag) {
        if (int tx = x + 1, ty = y; tx <= n && vis2[tx][ty]) return merge({{tx, ty}}, to_e(tx, ty, tag));
        if (int tx = x, ty = y + 1; ty <= m && vis2[tx][ty]) return merge({{tx, ty}}, to_e(tx, ty, tag));
    }
    else {
        if (int tx = x, ty = y + 1; ty <= m && vis2[tx][ty]) return merge({{tx, ty}}, to_e(tx, ty, tag));
        if (int tx = x + 1, ty = y; tx <= n && vis2[tx][ty]) return merge({{tx, ty}}, to_e(tx, ty, tag));
    }
    assert(false);
}

int main() {
    scanf("%d%d", &n, &m);
    int cnt = 0;
    for (int i = 1; i <= n; i++) {
        scanf("%s", map[i] + 1);
        for (int j = 1; j <= m; j++) cnt += map[i][j] == '.';
    }
    if ([&] {
        if (map[1][1] == '*' || map[n][m] == '*') return true;      
        dfs1(1, 1);
        dfs2(n, m);
        return !vis1[n][m];
    }()) {
        printf("%lld\n", 1ll * cnt * (cnt - 1) / 2);
        return 0;
    }
    Path fir = merge(to_s(n, m, 0), {{n, m}}), sec = merge(to_s(n, m, 1), {{n, m}});
    int t = 0;
    for (int i = 0; i < fir.size(); i++) if (fir[i] == sec[i]) {
        tag[fir[i].first][fir[i].second] = 1;
        t++;
    }
    LL ans = 1ll * t * (cnt - t) + 1ll * t * (t - 1) / 2;
    for (auto [px, py] : fir) {
        if (tag[px][py]) continue;
        while (true) {
            px--;
            py++;
            if (px < 1 || py > m) break;
            if (!vis1[px][py] || !vis2[px][py]) continue;
            ans += count(merge(merge(to_s(px, py, 0), {{px, py}}), to_e(px, py, 1)), sec);
            break;
        }
    }
    printf("%lld\n", ans);
    return 0;
}

Details

Tip: Click on the bar to expand more detailed information

Test #1:

score: 100
Accepted
time: 0ms
memory: 10012kb

input:

3 3
...
...
...

output:

17

result:

ok 1 number(s): "17"

Test #2:

score: 0
Accepted
time: 0ms
memory: 9952kb

input:

3 3
.**
.*.
...

output:

15

result:

ok 1 number(s): "15"

Test #3:

score: 0
Accepted
time: 1ms
memory: 5808kb

input:

3 4
****
....
****

output:

6

result:

ok 1 number(s): "6"

Test #4:

score: 0
Accepted
time: 1ms
memory: 5796kb

input:

5 5
*....
.*.*.
*****
*.***
..*..

output:

66

result:

ok 1 number(s): "66"

Test #5:

score: 0
Accepted
time: 1ms
memory: 6124kb

input:

10 10
...***.*..
**...*.***
...***.*..
.**...*.*.
.*****..*.
..*.****.*
.**...****
..*..*.*.*
*.*.**....
....**...*

output:

1378

result:

ok 1 number(s): "1378"

Test #6:

score: -100
Time Limit Exceeded

input:

3000 3000
.....................................................................................................................................................................................................................................................................................................

output:


result: