oj.uz

Submission #951827

# Submission time Handle Problem Language Result Execution time Memory
951827 2024-03-22T17:51:11 Z EJIC_B_KEDAX Colouring a rectangle (eJOI19_colouring) C++17
50 / 100
 2000 ms 31876 KB 
#include <bits/stdc++.h>
#include <random>
 
#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 dd = double;
using ld = long double;
using uii = unsigned int;
#define x first
#define y second
#define all(x) x.begin(), x.end()
#define rall(x) x.rbegin(), x.rend()
 
 
void solve();
 
mt19937_64 mt(373);
 
int32_t main() {
#ifdef LOCAL
    freopen("input.in", "r", stdin);
    freopen("output.out", "w", stdout);
#else
    ios::sync_with_stdio(false);
    cin.tie(nullptr); cout.tie(nullptr);
    //freopen("amusing.in", "r", stdin);
    //freopen("amusing.out", "w", stdout);
#endif
    cout << fixed << setprecision(30);
    int tests = 1;
    //cin >> tests;
    while (tests--) {
        solve();
    }
}
 
#define int ll
 
ll get_seg(int l, int r, vector<ll>& pref) {
    if (l > r) {
        return 0;
    }
    return pref[r + 1] - pref[l];
}
 
ll get_seg(pair<int, int>& a, vector<ll>& pref) {
    return pref[a.y + 1] - pref[a.x];
}
 
void solve() {
    int n, m;
    cin >> n >> m;
    vector<int> a[2], b[2];
    for (int i = 0; i < n + m - 1; i++) {
        int c;
        cin >> c;
        b[(m - 1 + i) % 2].push_back(c);
    }
    for (int i = 0; i < n + m - 1; i++) {
        int c;
        cin >> c;
        a[i % 2].push_back(c);
    }
    if (n == 1 && m == 1) {
        cout << min(a[0][0], b[0][0]) << '\n';
        return;
    }
    int sz[2] = {(int)a[0].size(), (int)a[1].size()};
    vector<pair<int, int>> seg[2];
    seg[0].resize(sz[0]);
    seg[1].resize(sz[1]);
    seg[0][0] = {(m - 1) / 2, (m - 1) / 2};
    seg[1][0] = {(m - 2) / 2, m / 2};
    for (int i = 1; i < sz[0]; i++) {
        seg[0][i].x = max((2 * i - m + 1) / 2, seg[0][i - 1].x - 1);
        seg[0][i].y = min((int)b[0].size() - (2 * i - n + 1) / 2 - 1, seg[0][i - 1].y + 1);
    }
    for (int i = 1; i < sz[1]; i++) {
        seg[1][i].x = max((2 * i - m + 2) / 2, seg[1][i - 1].x - 1);
        seg[1][i].y = min((int)b[1].size() - (2 * i - n + 2) / 2 - 1, seg[1][i - 1].y + 1);
    }
    seg[0].emplace_back(0, -1);
    seg[1].emplace_back(0, -1);
    vector<ll> dp[2], pref[2];
    dp[0].resize(sz[0]);
    dp[1].resize(sz[1]);
    pref[0].resize(b[0].size() + 1);
    pref[1].resize(b[1].size() + 1);
    pref[0][0] = 0;
    pref[1][0] = 0;
    for (int i = 0; i < b[0].size(); i++) {
        pref[0][i + 1] = pref[0][i] + b[0][i];
    }
    for (int i = 0; i < b[1].size(); i++) {
        pref[1][i + 1] = pref[1][i] + b[1][i];
    }
//    dp[0][0] = min(get_seg(seg[0][0], pref[0]), (ll) a[0][0]);
//    dp[1][0] = min(get_seg(seg[1][0], pref[1]), (ll) a[1][0]);
    for (int i = 0; i < sz[0]; i++) {
        dp[0][i] = INT64_MAX;
        ll sm = 0;
        int l1 = seg[0][i + 1].x, r1 = seg[0][i + 1].y;
        for (int j = i; j >= 0; j--) {
            if (j > 0) {
                dp[0][i] = min(dp[0][i], sm + get_seg(seg[0][j], pref[0]) - get_seg(max(l1, seg[0][j].x), min(r1, seg[0][j].y), pref[0]) + dp[0][j - 1]);
            } else {
                dp[0][i] = min(dp[0][i], sm + get_seg(seg[0][j], pref[0]) - get_seg(max(l1, seg[0][j].x), min(r1, seg[0][j].y), pref[0]));
            }
            sm += a[0][j];
        }
        dp[0][i] = min(dp[0][i], sm);
        int l = INT32_MAX, r = INT32_MIN;
        for (int j = i; j >= 0; j--) {
            l = min(l, seg[0][j].x);
            r = max(r, seg[0][j].y);
            if (j > 0) {
                dp[0][i] = min(dp[0][i], get_seg(l, r, pref[0]) - get_seg(max(l1, l), min(r1, r), pref[0]) + dp[0][j - 1]);
            } else {
                dp[0][i] = min(dp[0][i], get_seg(l, r, pref[0]) - get_seg(max(l1, l), min(r1, r), pref[0]));
            }
        }
    }
    for (int i = 0; i < sz[1]; i++) {
        dp[1][i] = INT64_MAX;
        ll sm = 0;
        int l1 = seg[1][i + 1].x, r1 = seg[1][i + 1].y;
        for (int j = i; j >= 0; j--) {
            if (j > 0) {
                dp[1][i] = min(dp[1][i], sm + get_seg(seg[1][j], pref[1]) - get_seg(max(l1, seg[1][j].x), min(r1, seg[1][j].y), pref[1]) + dp[1][j - 1]);
            } else {
                dp[1][i] = min(dp[1][i], sm + get_seg(seg[1][j], pref[1]) - get_seg(max(l1, seg[1][j].x), min(r1, seg[1][j].y), pref[1]));
            }
            sm += a[1][j];
        }
        dp[1][i] = min(dp[1][i], sm);
        int l = INT32_MAX, r = INT32_MIN;
        for (int j = i; j >= 0; j--) {
            l = min(l, seg[1][j].x);
            r = max(r, seg[1][j].y);
            if (j > 0) {
                dp[1][i] = min(dp[1][i], get_seg(l, r, pref[1]) - get_seg(max(l1, l), min(r1, r), pref[1]) + dp[1][j - 1]);
            } else {
                dp[1][i] = min(dp[1][i], get_seg(l, r, pref[1]) - get_seg(max(l1, l), min(r1, r), pref[1]));
            }
        }
    }
    cout << dp[0].back() + dp[1].back() << '\n';
}

Compilation message

colouring.cpp: In function 'void solve()':
colouring.cpp:97:23: warning: comparison of integer expressions of different signedness: 'll' {aka 'long long int'} and 'std::vector<long long int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
   97 |     for (int i = 0; i < b[0].size(); i++) {
      |                     ~~^~~~~~~~~~~~~
colouring.cpp:100:23: warning: comparison of integer expressions of different signedness: 'll' {aka 'long long int'} and 'std::vector<long long int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
  100 |     for (int i = 0; i < b[1].size(); i++) {
      |                     ~~^~~~~~~~~~~~~

Subtask #1
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 344 KB Output is correct
2 Correct 0 ms 348 KB Output is correct
3 Correct 0 ms 348 KB Output is correct
4 Correct 0 ms 348 KB Output is correct
5 Correct 0 ms 348 KB Output is correct
6 Correct 0 ms 348 KB Output is correct
7 Correct 0 ms 348 KB Output is correct
8 Correct 0 ms 348 KB Output is correct
9 Correct 0 ms 348 KB Output is correct
10 Correct 0 ms 348 KB Output is correct

Subtask #2
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 344 KB Output is correct
2 Correct 0 ms 348 KB Output is correct
3 Correct 0 ms 348 KB Output is correct
4 Correct 0 ms 348 KB Output is correct
5 Correct 0 ms 348 KB Output is correct
6 Correct 0 ms 348 KB Output is correct
7 Correct 0 ms 348 KB Output is correct
8 Correct 0 ms 348 KB Output is correct
9 Correct 0 ms 348 KB Output is correct
10 Correct 0 ms 348 KB Output is correct
11 Correct 0 ms 348 KB Output is correct
12 Correct 0 ms 348 KB Output is correct
13 Correct 0 ms 348 KB Output is correct
14 Correct 0 ms 448 KB Output is correct
15 Correct 0 ms 348 KB Output is correct
16 Correct 0 ms 348 KB Output is correct
17 Correct 0 ms 348 KB Output is correct
18 Correct 0 ms 348 KB Output is correct
19 Correct 1 ms 348 KB Output is correct

Subtask #3
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 344 KB Output is correct
2 Correct 0 ms 348 KB Output is correct
3 Correct 0 ms 348 KB Output is correct
4 Correct 0 ms 348 KB Output is correct
5 Correct 0 ms 348 KB Output is correct
6 Correct 0 ms 348 KB Output is correct
7 Correct 0 ms 348 KB Output is correct
8 Correct 0 ms 348 KB Output is correct
9 Correct 0 ms 348 KB Output is correct
10 Correct 0 ms 348 KB Output is correct
11 Correct 0 ms 348 KB Output is correct
12 Correct 0 ms 348 KB Output is correct
13 Correct 0 ms 348 KB Output is correct
14 Correct 0 ms 448 KB Output is correct
15 Correct 0 ms 348 KB Output is correct
16 Correct 0 ms 348 KB Output is correct
17 Correct 0 ms 348 KB Output is correct
18 Correct 0 ms 348 KB Output is correct
19 Correct 1 ms 348 KB Output is correct
20 Correct 1 ms 604 KB Output is correct
21 Correct 0 ms 348 KB Output is correct
22 Correct 1 ms 348 KB Output is correct
23 Correct 1 ms 348 KB Output is correct
24 Correct 0 ms 348 KB Output is correct
25 Correct 1 ms 348 KB Output is correct
26 Correct 0 ms 348 KB Output is correct
27 Correct 0 ms 348 KB Output is correct
28 Correct 0 ms 348 KB Output is correct
29 Correct 0 ms 348 KB Output is correct

Subtask #4
20.0 / 20.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 344 KB Output is correct
2 Correct 0 ms 348 KB Output is correct
3 Correct 0 ms 348 KB Output is correct
4 Correct 0 ms 348 KB Output is correct
5 Correct 0 ms 348 KB Output is correct
6 Correct 0 ms 348 KB Output is correct
7 Correct 0 ms 348 KB Output is correct
8 Correct 0 ms 348 KB Output is correct
9 Correct 0 ms 348 KB Output is correct
10 Correct 0 ms 348 KB Output is correct
11 Correct 0 ms 348 KB Output is correct
12 Correct 0 ms 348 KB Output is correct
13 Correct 0 ms 348 KB Output is correct
14 Correct 0 ms 448 KB Output is correct
15 Correct 0 ms 348 KB Output is correct
16 Correct 0 ms 348 KB Output is correct
17 Correct 0 ms 348 KB Output is correct
18 Correct 0 ms 348 KB Output is correct
19 Correct 1 ms 348 KB Output is correct
20 Correct 1 ms 604 KB Output is correct
21 Correct 0 ms 348 KB Output is correct
22 Correct 1 ms 348 KB Output is correct
23 Correct 1 ms 348 KB Output is correct
24 Correct 0 ms 348 KB Output is correct
25 Correct 1 ms 348 KB Output is correct
26 Correct 0 ms 348 KB Output is correct
27 Correct 0 ms 348 KB Output is correct
28 Correct 0 ms 348 KB Output is correct
29 Correct 0 ms 348 KB Output is correct
30 Correct 20 ms 760 KB Output is correct
31 Correct 20 ms 856 KB Output is correct
32 Correct 20 ms 852 KB Output is correct
33 Correct 13 ms 604 KB Output is correct
34 Correct 12 ms 860 KB Output is correct
35 Correct 5 ms 600 KB Output is correct
36 Correct 5 ms 600 KB Output is correct
37 Correct 5 ms 524 KB Output is correct
38 Correct 5 ms 600 KB Output is correct
39 Correct 5 ms 468 KB Output is correct
40 Correct 6 ms 604 KB Output is correct
41 Correct 7 ms 644 KB Output is correct
42 Correct 6 ms 604 KB Output is correct

Subtask #5
0 / 10.0

# Verdict Execution time Memory Grader output
1 Execution timed out 2062 ms 14776 KB Time limit exceeded
2 Halted 0 ms 0 KB -

Subtask #6
0 / 20.0

# Verdict Execution time Memory Grader output
1 Execution timed out 2027 ms 31876 KB Time limit exceeded
2 Halted 0 ms 0 KB -

Subtask #7
0 / 20.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 344 KB Output is correct
2 Correct 0 ms 348 KB Output is correct
3 Correct 0 ms 348 KB Output is correct
4 Correct 0 ms 348 KB Output is correct
5 Correct 0 ms 348 KB Output is correct
6 Correct 0 ms 348 KB Output is correct
7 Correct 0 ms 348 KB Output is correct
8 Correct 0 ms 348 KB Output is correct
9 Correct 0 ms 348 KB Output is correct
10 Correct 0 ms 348 KB Output is correct
11 Correct 0 ms 348 KB Output is correct
12 Correct 0 ms 348 KB Output is correct
13 Correct 0 ms 348 KB Output is correct
14 Correct 0 ms 448 KB Output is correct
15 Correct 0 ms 348 KB Output is correct
16 Correct 0 ms 348 KB Output is correct
17 Correct 0 ms 348 KB Output is correct
18 Correct 0 ms 348 KB Output is correct
19 Correct 1 ms 348 KB Output is correct
20 Correct 1 ms 604 KB Output is correct
21 Correct 0 ms 348 KB Output is correct
22 Correct 1 ms 348 KB Output is correct
23 Correct 1 ms 348 KB Output is correct
24 Correct 0 ms 348 KB Output is correct
25 Correct 1 ms 348 KB Output is correct
26 Correct 0 ms 348 KB Output is correct
27 Correct 0 ms 348 KB Output is correct
28 Correct 0 ms 348 KB Output is correct
29 Correct 0 ms 348 KB Output is correct
30 Correct 20 ms 760 KB Output is correct
31 Correct 20 ms 856 KB Output is correct
32 Correct 20 ms 852 KB Output is correct
33 Correct 13 ms 604 KB Output is correct
34 Correct 12 ms 860 KB Output is correct
35 Correct 5 ms 600 KB Output is correct
36 Correct 5 ms 600 KB Output is correct
37 Correct 5 ms 524 KB Output is correct
38 Correct 5 ms 600 KB Output is correct
39 Correct 5 ms 468 KB Output is correct
40 Correct 6 ms 604 KB Output is correct
41 Correct 7 ms 644 KB Output is correct
42 Correct 6 ms 604 KB Output is correct
43 Execution timed out 2062 ms 14776 KB Time limit exceeded
44 Halted 0 ms 0 KB -