Submission #703787

# Submission time Handle Problem Language Result Execution time Memory
703787 2023-02-28T11:57:31 Z piOOE Sightseeing in Kyoto (JOI22_kyoto) C++17
40 / 100
430 ms 1048576 KB
#include <bits/stdc++.h>

using namespace std;
using ll = long long;

int main() {
    ios::sync_with_stdio(false);
    cin.tie(nullptr);

    int h, w;
    cin >> h >> w;

    vector<int> a(h), b(w);

    for (int i = 0; i < h; ++i) {
        cin >> a[i];
    }

    for (int j = 0; j < w; ++j) {
        cin >> b[j];
    }

    constexpr int inf = 1e9 + 7;

    vector<int> pref(h + 1, inf), suf(h + 1, inf);

    vector<int> rows, columns;

    for (int i = 0; i < h; ++i) {
        pref[i + 1] = min(pref[i], a[i]);
    }

    for (int i = h - 1; i >= 0; --i) {
        suf[i] = min(a[i], suf[i + 1]);
    }

    for (int i = 0; i < h; ++i) {
        if (pref[i] > a[i] || suf[i + 1] > a[i]) {
            rows.push_back(i);
        }
    }

    pref.assign(w + 1, inf), suf.assign(w + 1, inf);

    for (int i = 0; i < w; ++i) {
        pref[i + 1] = min(pref[i], b[i]);
    }

    for (int i = w - 1; i >= 0; --i) {
        suf[i] = min(b[i], suf[i + 1]);
    }

    for (int i = 0; i < w; ++i) {
        if (pref[i] > b[i] || suf[i + 1] > b[i]) {
            columns.push_back(i);
        }
    }

    int cnt_same = 0;

    for (int i = 0; i + 1 < rows.size(); ++i) {
        if (a[rows[i]] == a[rows[i + 1]]) {
            assert(++cnt_same <= 1);
        }
    }

    cnt_same = 0;

    for (int i = 0; i + 1 < columns.size(); ++i) {
        if (b[columns[i]] == b[columns[i + 1]]) {
            assert(++cnt_same <= 1);
        }
    }

    int n = rows.size(), m = columns.size();

    vector dp(n, vector<ll>(m));

    for (int i = 0; i < n; ++i) {
        for (int j = 0; j < m; ++j) {
            if (i == 0 && j == 0) {
                continue;
            }

            dp[i][j] = 1e18;

            if (i > 0) {
                dp[i][j] = dp[i - 1][j] + 1LL * b[columns[j]] * (rows[i] - rows[i - 1]);
            }

            if (j > 0) {
                dp[i][j] = min(dp[i][j], dp[i][j - 1] + 1LL * a[rows[i]] * (columns[j] - columns[j - 1]));
            }
        }
    }

    cout << dp[n - 1][m - 1] << '\n';

    return 0;
}

Compilation message

kyoto.cpp: In function 'int main()':
kyoto.cpp:61:27: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
   61 |     for (int i = 0; i + 1 < rows.size(); ++i) {
      |                     ~~~~~~^~~~~~~~~~~~~
kyoto.cpp:69:27: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
   69 |     for (int i = 0; i + 1 < columns.size(); ++i) {
      |                     ~~~~~~^~~~~~~~~~~~~~~~
# Verdict Execution time Memory Grader output
1 Correct 1 ms 212 KB Output is correct
2 Correct 0 ms 212 KB Output is correct
3 Correct 0 ms 212 KB Output is correct
4 Correct 1 ms 212 KB Output is correct
5 Correct 0 ms 212 KB Output is correct
6 Correct 1 ms 212 KB Output is correct
7 Correct 0 ms 212 KB Output is correct
8 Correct 0 ms 212 KB Output is correct
9 Correct 1 ms 212 KB Output is correct
10 Correct 1 ms 340 KB Output is correct
11 Correct 1 ms 340 KB Output is correct
12 Correct 1 ms 340 KB Output is correct
13 Correct 9 ms 8148 KB Output is correct
14 Correct 1 ms 340 KB Output is correct
15 Correct 0 ms 340 KB Output is correct
16 Correct 8 ms 8148 KB Output is correct
17 Correct 1 ms 212 KB Output is correct
18 Correct 0 ms 212 KB Output is correct
19 Correct 0 ms 212 KB Output is correct
20 Correct 0 ms 212 KB Output is correct
21 Correct 0 ms 212 KB Output is correct
22 Correct 0 ms 212 KB Output is correct
23 Correct 0 ms 212 KB Output is correct
24 Correct 0 ms 212 KB Output is correct
25 Correct 0 ms 212 KB Output is correct
26 Correct 0 ms 212 KB Output is correct
27 Correct 0 ms 212 KB Output is correct
28 Correct 0 ms 212 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 0 ms 212 KB Output is correct
2 Correct 1 ms 212 KB Output is correct
3 Correct 3 ms 2772 KB Output is correct
4 Correct 6 ms 1492 KB Output is correct
5 Correct 8 ms 3156 KB Output is correct
6 Correct 4 ms 724 KB Output is correct
7 Correct 13 ms 1880 KB Output is correct
8 Correct 13 ms 1876 KB Output is correct
9 Correct 15 ms 3660 KB Output is correct
10 Correct 17 ms 3456 KB Output is correct
11 Correct 44 ms 34112 KB Output is correct
12 Correct 16 ms 3800 KB Output is correct
13 Correct 15 ms 3796 KB Output is correct
14 Correct 44 ms 33556 KB Output is correct
15 Correct 16 ms 2764 KB Output is correct
16 Correct 1 ms 212 KB Output is correct
17 Correct 1 ms 212 KB Output is correct
18 Correct 1 ms 212 KB Output is correct
19 Correct 1 ms 340 KB Output is correct
20 Correct 1 ms 212 KB Output is correct
21 Correct 0 ms 212 KB Output is correct
22 Correct 0 ms 212 KB Output is correct
23 Correct 1 ms 212 KB Output is correct
24 Correct 1 ms 212 KB Output is correct
25 Correct 1 ms 212 KB Output is correct
26 Correct 1 ms 212 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 1 ms 212 KB Output is correct
2 Correct 0 ms 212 KB Output is correct
3 Correct 0 ms 212 KB Output is correct
4 Correct 1 ms 212 KB Output is correct
5 Correct 0 ms 212 KB Output is correct
6 Correct 1 ms 212 KB Output is correct
7 Correct 0 ms 212 KB Output is correct
8 Correct 0 ms 212 KB Output is correct
9 Correct 1 ms 212 KB Output is correct
10 Correct 1 ms 340 KB Output is correct
11 Correct 1 ms 340 KB Output is correct
12 Correct 1 ms 340 KB Output is correct
13 Correct 9 ms 8148 KB Output is correct
14 Correct 1 ms 340 KB Output is correct
15 Correct 0 ms 340 KB Output is correct
16 Correct 8 ms 8148 KB Output is correct
17 Correct 1 ms 212 KB Output is correct
18 Correct 0 ms 212 KB Output is correct
19 Correct 0 ms 212 KB Output is correct
20 Correct 0 ms 212 KB Output is correct
21 Correct 0 ms 212 KB Output is correct
22 Correct 0 ms 212 KB Output is correct
23 Correct 0 ms 212 KB Output is correct
24 Correct 0 ms 212 KB Output is correct
25 Correct 0 ms 212 KB Output is correct
26 Correct 0 ms 212 KB Output is correct
27 Correct 0 ms 212 KB Output is correct
28 Correct 0 ms 212 KB Output is correct
29 Correct 0 ms 212 KB Output is correct
30 Correct 1 ms 212 KB Output is correct
31 Correct 3 ms 2772 KB Output is correct
32 Correct 6 ms 1492 KB Output is correct
33 Correct 8 ms 3156 KB Output is correct
34 Correct 4 ms 724 KB Output is correct
35 Correct 13 ms 1880 KB Output is correct
36 Correct 13 ms 1876 KB Output is correct
37 Correct 15 ms 3660 KB Output is correct
38 Correct 17 ms 3456 KB Output is correct
39 Correct 44 ms 34112 KB Output is correct
40 Correct 16 ms 3800 KB Output is correct
41 Correct 15 ms 3796 KB Output is correct
42 Correct 44 ms 33556 KB Output is correct
43 Correct 16 ms 2764 KB Output is correct
44 Correct 1 ms 212 KB Output is correct
45 Correct 1 ms 212 KB Output is correct
46 Correct 1 ms 212 KB Output is correct
47 Correct 1 ms 340 KB Output is correct
48 Correct 1 ms 212 KB Output is correct
49 Correct 0 ms 212 KB Output is correct
50 Correct 0 ms 212 KB Output is correct
51 Correct 1 ms 212 KB Output is correct
52 Correct 1 ms 212 KB Output is correct
53 Correct 1 ms 212 KB Output is correct
54 Correct 1 ms 212 KB Output is correct
55 Correct 9 ms 2132 KB Output is correct
56 Correct 1 ms 340 KB Output is correct
57 Correct 1 ms 468 KB Output is correct
58 Correct 4 ms 980 KB Output is correct
59 Correct 24 ms 3780 KB Output is correct
60 Correct 25 ms 3788 KB Output is correct
61 Correct 22 ms 5188 KB Output is correct
62 Correct 23 ms 5188 KB Output is correct
63 Runtime error 430 ms 1048576 KB Execution killed with signal 9
64 Halted 0 ms 0 KB -