Submission #870955

# Submission time Handle Problem Language Result Execution time Memory
870955 2023-11-09T15:17:25 Z EJIC_B_KEDAX Sightseeing in Kyoto (JOI22_kyoto) C++17
40 / 100
2000 ms 16636 KB
#ifdef LOCAL
    //#define _GLIBCXX_DEBUG
#endif
#include <bits/stdc++.h>

#ifndef LOCAL
    // #pragma GCC optimize("O3")
    // #pragma GCC optimize("Ofast")
    // #pragma GCC optimize("unroll-loops")
    // #pragma GCC target("avx,avx2,bmi,bmi2,popcnt,lzcnt")
#endif
using namespace std;
using ll = long long;
using ld = long double;
#define x first
#define y second
#define all(x) x.begin(), x.end()
#define rall(x) x.rbegin(), x.rend()



mt19937_64 mt(time(0));

void solve();
void init();

int32_t main() {
#ifndef LOCAL
    cin.tie(nullptr)->sync_with_stdio(false);
#else
    freopen("input.txt", "r", stdin);
#endif
    init();
    int t = 1;
    // cin >> t;
    while (t--) {
        solve();
    }
}

void init() {}

#define int ll

void solve() {
    int h, w;
    cin >> h >> w;
    vector<pair<ll, ll>> a1(h), b1(w), a, b, af, bf, as, bs;
    for (int i = 0; i < h; i++) {
        cin >> a1[i].x;
        a1[i].y = 1;
    }
    for (int i = 0; i < w; i++) {
        cin >> b1[i].x;
        b1[i].y = 1;
    }
    for (int i = 0; i < h; i++) {
        while (a.size() >= 2) {
            auto ff = a.back();
            a.pop_back();
            if (!(a1[i].x <= ff.x && a.back().x <= ff.x)) {
                a.push_back(ff);
                break;
            } else {
                a.back().y += ff.y;
            }
        }
        a.push_back(a1[i]);
    }
    for (int i = 0; i < w; i++) {
        while (b.size() >= 2) {
            auto ff = b.back();
            b.pop_back();
            if (!(b1[i].x <= ff.x && b.back().x <= ff.x)) {
                b.push_back(ff);
                break;
            } else {
                b.back().y += ff.y;
            }
        }
        b.push_back(b1[i]);
    }
    ll ans = 0;
    h = a.size();
    w = b.size();
    af.push_back(a[0]);
    bf.push_back(b[0]);
    for (int i = 1; i < h; i++) {
        if (a[i] > a[i - 1]) {
            as.push_back(a[i]);
        } else {
            af.push_back(a[i]);
        }
    }
    for (int i = 1; i < w; i++) {
        if (b[i] > b[i - 1]) {
            bs.push_back(b[i]);
        } else {
            bf.push_back(b[i]);
        }
    }
    // as.insert(as.begin(), af.back());
    // bs.insert(bs.begin(), bf.back());
    reverse(all(as));
    reverse(all(bs));
    as.push_back(af.back());
    bs.push_back(bf.back());
    for (int i = 0; i < as.size(); i++) {
        as[i].y = as[(i + 1) % as.size()].y;
    }
    for (int i = 0; i < bs.size(); i++) {
        bs[i].y = bs[(i + 1) % bs.size()].y;
    }
    // for (auto i : a) {
    //     cout << i.x << ' ';
    // }
    // cout << '\n';
    // for (auto i : b) {
    //     cout << i.x << ' ';
    // }
    // cout << '\n';
    // for (auto i : af) {
    //     cout << i.x << ' ';
    // }
    // cout << '\n';
    // for (auto i : bf) {
    //     cout << i.x << ' ';
    // }
    // cout << '\n';
    // for (auto i : as) {
    //     cout << i.x << ' ';
    // }
    // cout << '\n';
    // for (auto i : bs) {
    //     cout << i.x << ' ';
    // }
    // cout << '\n';
    // a = af;
    a.clear();
    for (int i = 0; i < af.size(); i++) {
        while (a.size() >= 2) {
            auto ff = a.back();
            a.pop_back();
            if ((ff.x - af[i].x) * a.back().y < (a.back().x - ff.x) * ff.y) {
                a.push_back(ff);
                break;
            } else {
                a.back().y += ff.y;
            }
        }
        a.push_back(af[i]);
    }
    // b = bf;
    b.clear();
    for (int i = 0; i < bf.size(); i++) {
        while (b.size() >= 2) {
            auto ff = b.back();
            b.pop_back();
            if ((ff.x - bf[i].x) * b.back().y < (b.back().x - ff.x) * ff.y) {
                b.push_back(ff);
                break;
            } else {
                b.back().y += ff.y;
            }
        }
        b.push_back(bf[i]);
    }
    h = a.size();
    w = b.size();
    ll dp[2][100100]{}, ax[100100]{}, bx[100100]{}, ay[100100]{}, by[100100]{};
    // vector<ll> ax(100100), bx(100100), ay(100100), by(100100);
    // vector<vector<ll>> dp(2, vector<ll>(w + 1, INT64_MAX));
    for (int j = 0; j < w + 1; j++) {
        dp[0][j] = INT64_MAX;
    }
    for (int i = 0; i < h; i++) {
        ax[i] = a[i].x;
        ay[i] = a[i].y;
    }
    for (int i = 0; i < w; i++) {
        bx[i] = b[i].x;
        by[i] = b[i].y;
    }
    dp[0][0] = 0;
    // assert(h <= 3e4 && w <= 3e4);
    for (int i = 0; i < h; i++) {
        for (int j = 0; j < w + 1; j++) {
            dp[1][j] = INT64_MAX;
        }
        for (int j = 0; j < w; j++) {
            dp[1][j] = min(dp[1][j], dp[0][j] + bx[j] * ay[i]);
            dp[0][j + 1] = min(dp[0][j + 1], dp[0][j] + ax[i] * by[j]);
        }
        swap(dp[0], dp[1]);
    }
    ans += dp[1][w - 1];
    // cout << dp[0][w - 1] << '\n';
    a.clear();
    for (int i = 0; i < as.size(); i++) {
        while (a.size() >= 2) {
            auto ff = a.back();
            a.pop_back();
            if ((ff.x - as[i].x) * a.back().y < (a.back().x - ff.x) * ff.y) {
                a.push_back(ff);
                break;
            } else {
                a.back().y += ff.y;
            }
        }
        a.push_back(as[i]);
    }
    // b = bf;
    b.clear();
    for (int i = 0; i < bs.size(); i++) {
        while (b.size() >= 2) {
            auto ff = b.back();
            b.pop_back();
            if ((ff.x - bs[i].x) * b.back().y < (b.back().x - ff.x) * ff.y) {
                b.push_back(ff);
                break;
            } else {
                b.back().y += ff.y;
            }
        }
        b.push_back(bs[i]);
    }
    h = a.size();
    w = b.size();
    for (int j = 0; j < w + 1; j++) {
        dp[0][j] = INT64_MAX;
    }
    for (int i = 0; i < h; i++) {
        ax[i] = a[i].x;
        ay[i] = a[i].y;
    }
    for (int i = 0; i < w; i++) {
        bx[i] = b[i].x;
        by[i] = b[i].y;
    }
    dp[0][0] = 0;
    assert(h <= 4e4 && w <= 4e4);
    for (int i = 0; i < h; i++) {
        for (int j = 0; j < w + 1; j++) {
            dp[1][j] = INT64_MAX;
        }
        for (int j = 0; j < w; j++) {
            dp[1][j] = min(dp[1][j], dp[0][j] + bx[j] * ay[i]);
            dp[0][j + 1] = min(dp[0][j + 1], dp[0][j] + ax[i] * by[j]);
        }
        swap(dp[0], dp[1]);
    }
    ans += dp[1][w - 1];
    // cout << dp[0][w - 1] << '\n';
    cout << ans << '\n';
}

Compilation message

kyoto.cpp: In function 'void solve()':
kyoto.cpp:108:23: warning: comparison of integer expressions of different signedness: 'll' {aka 'long long int'} and 'std::vector<std::pair<long long int, long long int> >::size_type' {aka 'long unsigned int'} [-Wsign-compare]
  108 |     for (int i = 0; i < as.size(); i++) {
      |                     ~~^~~~~~~~~~~
kyoto.cpp:111:23: warning: comparison of integer expressions of different signedness: 'll' {aka 'long long int'} and 'std::vector<std::pair<long long int, long long int> >::size_type' {aka 'long unsigned int'} [-Wsign-compare]
  111 |     for (int i = 0; i < bs.size(); i++) {
      |                     ~~^~~~~~~~~~~
kyoto.cpp:140:23: warning: comparison of integer expressions of different signedness: 'll' {aka 'long long int'} and 'std::vector<std::pair<long long int, long long int> >::size_type' {aka 'long unsigned int'} [-Wsign-compare]
  140 |     for (int i = 0; i < af.size(); i++) {
      |                     ~~^~~~~~~~~~~
kyoto.cpp:155:23: warning: comparison of integer expressions of different signedness: 'll' {aka 'long long int'} and 'std::vector<std::pair<long long int, long long int> >::size_type' {aka 'long unsigned int'} [-Wsign-compare]
  155 |     for (int i = 0; i < bf.size(); i++) {
      |                     ~~^~~~~~~~~~~
kyoto.cpp:199:23: warning: comparison of integer expressions of different signedness: 'll' {aka 'long long int'} and 'std::vector<std::pair<long long int, long long int> >::size_type' {aka 'long unsigned int'} [-Wsign-compare]
  199 |     for (int i = 0; i < as.size(); i++) {
      |                     ~~^~~~~~~~~~~
kyoto.cpp:214:23: warning: comparison of integer expressions of different signedness: 'll' {aka 'long long int'} and 'std::vector<std::pair<long long int, long long int> >::size_type' {aka 'long unsigned int'} [-Wsign-compare]
  214 |     for (int i = 0; i < bs.size(); i++) {
      |                     ~~^~~~~~~~~~~
# Verdict Execution time Memory Grader output
1 Correct 3 ms 4952 KB Output is correct
2 Correct 3 ms 4956 KB Output is correct
3 Correct 3 ms 4956 KB Output is correct
4 Correct 3 ms 4956 KB Output is correct
5 Correct 4 ms 4948 KB Output is correct
6 Correct 3 ms 4956 KB Output is correct
7 Correct 3 ms 4952 KB Output is correct
8 Correct 3 ms 4956 KB Output is correct
9 Correct 4 ms 4956 KB Output is correct
10 Correct 4 ms 4956 KB Output is correct
11 Correct 4 ms 4956 KB Output is correct
12 Correct 4 ms 4952 KB Output is correct
13 Correct 69 ms 5256 KB Output is correct
14 Correct 4 ms 4956 KB Output is correct
15 Correct 4 ms 4956 KB Output is correct
16 Correct 4 ms 5212 KB Output is correct
17 Correct 3 ms 4956 KB Output is correct
18 Correct 3 ms 4956 KB Output is correct
19 Correct 3 ms 5080 KB Output is correct
20 Correct 3 ms 4956 KB Output is correct
21 Correct 3 ms 4956 KB Output is correct
22 Correct 3 ms 4952 KB Output is correct
23 Correct 4 ms 4956 KB Output is correct
24 Correct 3 ms 4956 KB Output is correct
25 Correct 4 ms 5212 KB Output is correct
26 Correct 3 ms 4956 KB Output is correct
27 Correct 4 ms 4956 KB Output is correct
28 Correct 3 ms 4956 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 3 ms 4956 KB Output is correct
2 Correct 3 ms 4956 KB Output is correct
3 Correct 8 ms 5208 KB Output is correct
4 Correct 11 ms 6232 KB Output is correct
5 Correct 11 ms 6232 KB Output is correct
6 Correct 6 ms 5468 KB Output is correct
7 Correct 19 ms 8304 KB Output is correct
8 Correct 17 ms 8296 KB Output is correct
9 Correct 19 ms 8284 KB Output is correct
10 Correct 20 ms 8284 KB Output is correct
11 Correct 47 ms 8284 KB Output is correct
12 Correct 16 ms 8284 KB Output is correct
13 Correct 19 ms 8196 KB Output is correct
14 Correct 22 ms 8280 KB Output is correct
15 Correct 15 ms 8300 KB Output is correct
16 Correct 3 ms 5208 KB Output is correct
17 Correct 4 ms 4956 KB Output is correct
18 Correct 3 ms 4956 KB Output is correct
19 Correct 3 ms 4956 KB Output is correct
20 Correct 3 ms 4952 KB Output is correct
21 Correct 3 ms 4956 KB Output is correct
22 Correct 4 ms 4952 KB Output is correct
23 Correct 3 ms 4956 KB Output is correct
24 Correct 3 ms 4956 KB Output is correct
25 Correct 3 ms 4956 KB Output is correct
26 Correct 3 ms 4956 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 3 ms 4952 KB Output is correct
2 Correct 3 ms 4956 KB Output is correct
3 Correct 3 ms 4956 KB Output is correct
4 Correct 3 ms 4956 KB Output is correct
5 Correct 4 ms 4948 KB Output is correct
6 Correct 3 ms 4956 KB Output is correct
7 Correct 3 ms 4952 KB Output is correct
8 Correct 3 ms 4956 KB Output is correct
9 Correct 4 ms 4956 KB Output is correct
10 Correct 4 ms 4956 KB Output is correct
11 Correct 4 ms 4956 KB Output is correct
12 Correct 4 ms 4952 KB Output is correct
13 Correct 69 ms 5256 KB Output is correct
14 Correct 4 ms 4956 KB Output is correct
15 Correct 4 ms 4956 KB Output is correct
16 Correct 4 ms 5212 KB Output is correct
17 Correct 3 ms 4956 KB Output is correct
18 Correct 3 ms 4956 KB Output is correct
19 Correct 3 ms 5080 KB Output is correct
20 Correct 3 ms 4956 KB Output is correct
21 Correct 3 ms 4956 KB Output is correct
22 Correct 3 ms 4952 KB Output is correct
23 Correct 4 ms 4956 KB Output is correct
24 Correct 3 ms 4956 KB Output is correct
25 Correct 4 ms 5212 KB Output is correct
26 Correct 3 ms 4956 KB Output is correct
27 Correct 4 ms 4956 KB Output is correct
28 Correct 3 ms 4956 KB Output is correct
29 Correct 3 ms 4956 KB Output is correct
30 Correct 3 ms 4956 KB Output is correct
31 Correct 8 ms 5208 KB Output is correct
32 Correct 11 ms 6232 KB Output is correct
33 Correct 11 ms 6232 KB Output is correct
34 Correct 6 ms 5468 KB Output is correct
35 Correct 19 ms 8304 KB Output is correct
36 Correct 17 ms 8296 KB Output is correct
37 Correct 19 ms 8284 KB Output is correct
38 Correct 20 ms 8284 KB Output is correct
39 Correct 47 ms 8284 KB Output is correct
40 Correct 16 ms 8284 KB Output is correct
41 Correct 19 ms 8196 KB Output is correct
42 Correct 22 ms 8280 KB Output is correct
43 Correct 15 ms 8300 KB Output is correct
44 Correct 3 ms 5208 KB Output is correct
45 Correct 4 ms 4956 KB Output is correct
46 Correct 3 ms 4956 KB Output is correct
47 Correct 3 ms 4956 KB Output is correct
48 Correct 3 ms 4952 KB Output is correct
49 Correct 3 ms 4956 KB Output is correct
50 Correct 4 ms 4952 KB Output is correct
51 Correct 3 ms 4956 KB Output is correct
52 Correct 3 ms 4956 KB Output is correct
53 Correct 3 ms 4956 KB Output is correct
54 Correct 3 ms 4956 KB Output is correct
55 Correct 12 ms 6488 KB Output is correct
56 Correct 3 ms 4956 KB Output is correct
57 Correct 6 ms 5212 KB Output is correct
58 Correct 8 ms 5464 KB Output is correct
59 Correct 25 ms 8440 KB Output is correct
60 Correct 22 ms 8280 KB Output is correct
61 Correct 25 ms 8328 KB Output is correct
62 Correct 30 ms 8284 KB Output is correct
63 Execution timed out 2067 ms 16636 KB Time limit exceeded
64 Halted 0 ms 0 KB -