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Submission #503429

# Submission time Handle Problem Language Result Execution time Memory
503429 2022-01-07T23:34:06 Z maximumSHOT Feast (NOI19_feast) C++17
100 / 100
 392 ms 16456 KB 
#include <bits/stdc++.h>

using namespace std;

using ll = long long;
using ui = unsigned int;
using ull = unsigned long long;
using ld = long double;
using pii = pair<int, int>;
using pll = pair<long long, long long>;

const int inf = 1e9;
const ll inf64 = 1e18;

struct output {
    ll res;

    void print() {
        cout << res << "\n";
    }

    bool operator == (const output& o) const {
        return res == o.res;
    }
};

struct input {
    int n, k;
    vector<int> a;
    vector<ll> pref;

    input() = default;

    void read() {
        cin >> n >> k;
        a.resize(n + 1);
        for (int i = 1; i <= n; i++)
            cin >> a[i];
    }

    void print() {
        cout << n << " " << k << "\n";
        for (int i = 1; i <= n; i++)
            cout << a[i] << " ";
        cout << "\n";
    }

    void gen() {
        static mt19937 rnd(42);
        const int MAXN = 10;
        const int MAXX = 10;
        n = rnd() % MAXN + 1;
        k = rnd() % n + 1;
        a.resize(n + 1);
        for (int i = 1; i <= n; i++)
            a[i] = rnd() % (2 * MAXX + 1) - MAXX;
    }

    void gen_max_test() {

    }

    pair<ll, int> check(ll lambda) {
        vector<pair<ll, int>> dp(n + 1, make_pair(-inf64, -inf)), pr = dp;
        pr[0] = {0, 0};
        pair<ll, int> mx = {pr[0].first - pref[0], pr[0].second};
        for (int i = 1; i <= n; i++) {
            {
                pair<ll, int> tmp = {
                    mx.first + (pref[i]) - lambda,
                    mx.second + 1
                };
                dp[i] = max(dp[i], tmp);
            }
            pr[i] = max(pr[i - 1], dp[i]);
            mx = max(mx, make_pair(pr[i].first - pref[i], pr[i].second));
        }
        pair<ll, int> res = {-inf64, -inf};
        for (int i = 1; i <= n; i++)
            res = max(res, dp[i]);
        return res;
    }

    output fast() {
        pref.assign(n + 1, 0);
        for (int i = 1; i <= n; i++)
            pref[i] = pref[i - 1] + a[i];
        ll bl = 0, br = inf64 / 3, bm;
        while (br - bl > 1) {
            bm = bl + (br - bl) / 2;
            auto tmp = check(bm);
            if (tmp.second >= k) bl = bm;
            else br = bm;
        }
        ll res = 0;
        auto tmp = check(bl);
        res = max(res, tmp.first + 1ll * bl * k);
        return output{res};
    }

    output slow() {
#ifndef DEBUG
        throw;
#endif

        vector<vector<ll>> dp(n + 1, vector<ll>(k + 1, -inf64));
        dp[0][0] = 0;
        for (int i = 1; i <= n; i++) {
            for (int c = 0; c <= k; c++) {
                dp[i][c] = max(dp[i - 1][c], c ? dp[i][c - 1] : -inf64);
                ll sm = 0;
                for (int j = i; j >= 1; j--) {
                    sm += a[j];
                    dp[i][c] = max(dp[i][c], (c ? dp[j - 1][c - 1] : -inf64) + sm);
                }
            }
        }

        return output{dp[n][k]};
    }
};

void test_case() {
    input in;
    in.read();
    output res = in.fast();
    res.print();
}

void work() {
    int t = 1;
    while (t--)
        test_case();
}

void test() {
    for (int t = 1;;t++) {
        input in;
        in.gen();
        input in_fs = in;
        input in_sl = in;
        output fs = in_fs.fast();
        output sl = in_sl.slow();
        if (fs == sl) {
            cout << "OK" << endl;
            fs.print();
            cout << "\n=========" << endl;
        } else {
            cout << "WA " << t << "\n";
            cout << "exp\n";
            sl.print();
            cout << "\n=========\n";
            cout << "fnd\n";
            fs.print();
            cout << "\n=========\n";
            in.print();
            break;
        }
    }
}

void max_test() {
    input in;
    in.gen_max_test();
    input in_fs = in;
    output fs = in_fs.fast();
    fs.print();
}

int main() {

#ifdef DEBUG
    freopen("input.txt", "r", stdin);
#endif

    ios_base::sync_with_stdio(0);
    cin.tie(0);

    work();
//    test();
//    max_test();

    return 0;
}

Compilation message

feast.cpp: In function 'void max_test()':
feast.cpp:27:8: warning: 'in.input::n' is used uninitialized in this function [-Wuninitialized]
   27 | struct input {
      |        ^~~~~
feast.cpp:27:8: warning: 'in' is used uninitialized in this function [-Wuninitialized]

Subtask #1
4.0 / 4.0

# Verdict Execution time Memory Grader output
1 Correct 276 ms 15508 KB Output is correct
2 Correct 278 ms 16036 KB Output is correct
3 Correct 292 ms 16260 KB Output is correct
4 Correct 277 ms 16072 KB Output is correct
5 Correct 294 ms 16112 KB Output is correct
6 Correct 269 ms 15764 KB Output is correct
7 Correct 271 ms 15800 KB Output is correct
8 Correct 307 ms 16084 KB Output is correct
9 Correct 288 ms 15828 KB Output is correct
10 Correct 282 ms 15992 KB Output is correct

Subtask #2
8.0 / 8.0

# Verdict Execution time Memory Grader output
1 Correct 292 ms 14164 KB Output is correct
2 Correct 307 ms 14480 KB Output is correct
3 Correct 289 ms 14120 KB Output is correct
4 Correct 297 ms 14376 KB Output is correct
5 Correct 300 ms 15760 KB Output is correct
6 Correct 292 ms 14108 KB Output is correct
7 Correct 286 ms 14460 KB Output is correct
8 Correct 317 ms 16440 KB Output is correct
9 Correct 293 ms 15712 KB Output is correct
10 Correct 296 ms 14504 KB Output is correct

Subtask #3
18.0 / 18.0

# Verdict Execution time Memory Grader output
1 Correct 310 ms 15728 KB Output is correct
2 Correct 327 ms 16100 KB Output is correct
3 Correct 342 ms 16132 KB Output is correct
4 Correct 334 ms 16136 KB Output is correct
5 Correct 313 ms 16140 KB Output is correct
6 Correct 330 ms 16308 KB Output is correct
7 Correct 320 ms 16260 KB Output is correct
8 Correct 310 ms 16152 KB Output is correct
9 Correct 320 ms 16380 KB Output is correct
10 Correct 337 ms 16288 KB Output is correct

Subtask #4
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 204 KB Output is correct
2 Correct 0 ms 312 KB Output is correct
3 Correct 0 ms 204 KB Output is correct
4 Correct 0 ms 208 KB Output is correct
5 Correct 0 ms 204 KB Output is correct
6 Correct 1 ms 292 KB Output is correct
7 Correct 1 ms 204 KB Output is correct
8 Correct 0 ms 308 KB Output is correct
9 Correct 0 ms 312 KB Output is correct
10 Correct 1 ms 308 KB Output is correct

Subtask #5
11.0 / 11.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 204 KB Output is correct
2 Correct 0 ms 312 KB Output is correct
3 Correct 0 ms 204 KB Output is correct
4 Correct 0 ms 208 KB Output is correct
5 Correct 0 ms 204 KB Output is correct
6 Correct 1 ms 292 KB Output is correct
7 Correct 1 ms 204 KB Output is correct
8 Correct 0 ms 308 KB Output is correct
9 Correct 0 ms 312 KB Output is correct
10 Correct 1 ms 308 KB Output is correct
11 Correct 1 ms 332 KB Output is correct
12 Correct 0 ms 332 KB Output is correct
13 Correct 0 ms 204 KB Output is correct
14 Correct 1 ms 204 KB Output is correct
15 Correct 1 ms 312 KB Output is correct
16 Correct 1 ms 204 KB Output is correct
17 Correct 1 ms 332 KB Output is correct
18 Correct 0 ms 332 KB Output is correct
19 Correct 0 ms 204 KB Output is correct
20 Correct 1 ms 332 KB Output is correct

Subtask #6
20.0 / 20.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 204 KB Output is correct
2 Correct 0 ms 312 KB Output is correct
3 Correct 0 ms 204 KB Output is correct
4 Correct 0 ms 208 KB Output is correct
5 Correct 0 ms 204 KB Output is correct
6 Correct 1 ms 292 KB Output is correct
7 Correct 1 ms 204 KB Output is correct
8 Correct 0 ms 308 KB Output is correct
9 Correct 0 ms 312 KB Output is correct
10 Correct 1 ms 308 KB Output is correct
11 Correct 1 ms 332 KB Output is correct
12 Correct 0 ms 332 KB Output is correct
13 Correct 0 ms 204 KB Output is correct
14 Correct 1 ms 204 KB Output is correct
15 Correct 1 ms 312 KB Output is correct
16 Correct 1 ms 204 KB Output is correct
17 Correct 1 ms 332 KB Output is correct
18 Correct 0 ms 332 KB Output is correct
19 Correct 0 ms 204 KB Output is correct
20 Correct 1 ms 332 KB Output is correct
21 Correct 2 ms 332 KB Output is correct
22 Correct 2 ms 324 KB Output is correct
23 Correct 2 ms 332 KB Output is correct
24 Correct 1 ms 332 KB Output is correct
25 Correct 1 ms 332 KB Output is correct
26 Correct 1 ms 332 KB Output is correct
27 Correct 2 ms 332 KB Output is correct
28 Correct 1 ms 332 KB Output is correct
29 Correct 1 ms 332 KB Output is correct
30 Correct 1 ms 332 KB Output is correct

Subtask #7
29.0 / 29.0

# Verdict Execution time Memory Grader output
1 Correct 276 ms 15508 KB Output is correct
2 Correct 278 ms 16036 KB Output is correct
3 Correct 292 ms 16260 KB Output is correct
4 Correct 277 ms 16072 KB Output is correct
5 Correct 294 ms 16112 KB Output is correct
6 Correct 269 ms 15764 KB Output is correct
7 Correct 271 ms 15800 KB Output is correct
8 Correct 307 ms 16084 KB Output is correct
9 Correct 288 ms 15828 KB Output is correct
10 Correct 282 ms 15992 KB Output is correct
11 Correct 292 ms 14164 KB Output is correct
12 Correct 307 ms 14480 KB Output is correct
13 Correct 289 ms 14120 KB Output is correct
14 Correct 297 ms 14376 KB Output is correct
15 Correct 300 ms 15760 KB Output is correct
16 Correct 292 ms 14108 KB Output is correct
17 Correct 286 ms 14460 KB Output is correct
18 Correct 317 ms 16440 KB Output is correct
19 Correct 293 ms 15712 KB Output is correct
20 Correct 296 ms 14504 KB Output is correct
21 Correct 310 ms 15728 KB Output is correct
22 Correct 327 ms 16100 KB Output is correct
23 Correct 342 ms 16132 KB Output is correct
24 Correct 334 ms 16136 KB Output is correct
25 Correct 313 ms 16140 KB Output is correct
26 Correct 330 ms 16308 KB Output is correct
27 Correct 320 ms 16260 KB Output is correct
28 Correct 310 ms 16152 KB Output is correct
29 Correct 320 ms 16380 KB Output is correct
30 Correct 337 ms 16288 KB Output is correct
31 Correct 1 ms 204 KB Output is correct
32 Correct 0 ms 312 KB Output is correct
33 Correct 0 ms 204 KB Output is correct
34 Correct 0 ms 208 KB Output is correct
35 Correct 0 ms 204 KB Output is correct
36 Correct 1 ms 292 KB Output is correct
37 Correct 1 ms 204 KB Output is correct
38 Correct 0 ms 308 KB Output is correct
39 Correct 0 ms 312 KB Output is correct
40 Correct 1 ms 308 KB Output is correct
41 Correct 1 ms 332 KB Output is correct
42 Correct 0 ms 332 KB Output is correct
43 Correct 0 ms 204 KB Output is correct
44 Correct 1 ms 204 KB Output is correct
45 Correct 1 ms 312 KB Output is correct
46 Correct 1 ms 204 KB Output is correct
47 Correct 1 ms 332 KB Output is correct
48 Correct 0 ms 332 KB Output is correct
49 Correct 0 ms 204 KB Output is correct
50 Correct 1 ms 332 KB Output is correct
51 Correct 2 ms 332 KB Output is correct
52 Correct 2 ms 324 KB Output is correct
53 Correct 2 ms 332 KB Output is correct
54 Correct 1 ms 332 KB Output is correct
55 Correct 1 ms 332 KB Output is correct
56 Correct 1 ms 332 KB Output is correct
57 Correct 2 ms 332 KB Output is correct
58 Correct 1 ms 332 KB Output is correct
59 Correct 1 ms 332 KB Output is correct
60 Correct 1 ms 332 KB Output is correct
61 Correct 376 ms 15960 KB Output is correct
62 Correct 391 ms 16456 KB Output is correct
63 Correct 334 ms 16108 KB Output is correct
64 Correct 381 ms 16268 KB Output is correct
65 Correct 378 ms 16436 KB Output is correct
66 Correct 392 ms 16204 KB Output is correct
67 Correct 373 ms 16432 KB Output is correct
68 Correct 306 ms 16284 KB Output is correct
69 Correct 298 ms 15956 KB Output is correct
70 Correct 315 ms 16012 KB Output is correct