Submission #996296

# Submission time Handle Problem Language Result Execution time Memory
996296 2024-06-10T11:59:11 Z shmax Feast (NOI19_feast) C++17
100 / 100
139 ms 10508 KB
/*


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 */
/*
 * powered by ANDRIY POPYK
 * in honor of MYSELF and SEGMENT DECOMPOSITION and N^(log(N)) and (Harry Potter and the Methods of Rationality) and Monkie D. Luffy
*/
#include <bits/stdc++.h>
#include <ext/pb_ds/assoc_container.hpp>

//#pragma GCC optimize("O3")
//#pragma GCC target("avx,avx2,fma")
//#pragma GCC optimization ("unroll-loops")
//#pragma GCC target("avx,avx2,sse,sse2,sse3,sse4,popcnt")

using namespace std;
using namespace __gnu_pbds;
#define int long long
#define float long double
#define elif else if
#define endl "\n"
#define mod 1000000007
#define pi acos(-1)
#define eps 0.000000001
#define inf 1000'000'000'000'000'000LL
#define FIXED(a) cout << fixed << setprecision(a)
#define all(x) x.begin(), x.end()
#define rall(x) x.rbegin(), x.rend()
#define time_init auto start = std::chrono::high_resolution_clock::now()
#define time_report                                       \
    auto end = std::chrono::high_resolution_clock::now(); \
    std::cout << std::chrono::duration_cast<std::chrono::milliseconds>(end - start).count() << " ms" << endl
#define debug(x) \
    { cerr << #x << " = " << x << endl; }
#define len(x) (int) x.size()
#define sqr(x) ((x) * (x))
#define cube(x) ((x) * (x) * (x))
#define bit(x, i) (((x) >> (i)) & 1)
#define set_bit(x, i) ((x) | (1LL << (i)))
#define clear_bit(x, i) ((x) & (~(1LL << (i))))
#define toggle_bit(x, i) ((x) ^ (1LL << (i)))
#define low_bit(x) ((x) & (-(x)))
#define count_bit(x) __builtin_popcountll(x)
#define srt(x) sort(all(x))
#define rsrt(x) sort(rall(x))
#define mp make_pair
#define maxel(x) (*max_element(all(x)))
#define minel(x) (*min_element(all(x)))
#define maxelpos(x) (max_element(all(x)) - x.begin())
#define minelpos(x) (min_element(all(x)) - x.begin())
#define sum(x) (accumulate(all(x), 0LL))
#define product(x) (accumulate(all(x), 1LL, multiplies<int>()))
#define gcd __gcd
#define lcm(a, b) ((a) / gcd(a, b) * (b))
#define rev(x) (reverse(all(x)))
#define shift_left(x, k) (rotate(x.begin(), x.begin() + k, x.end()))
#define shift_right(x, k) (rotate(x.rbegin(), x.rbegin() + k, x.rend()))
#define is_sorted(x) (is_sorted_until(all(x)) == x.end())
#define is_even(x) (((x) &1) == 0)
#define is_odd(x) (((x) &1) == 1)
#define pow2(x) (1LL << (x))

struct custom_hash {
    static uint64_t splitmix64(uint64_t x) {
        // http://xorshift.di.unimi.it/splitmix64.c
        x += 0x9e3779b97f4a7c15;
        x = (x ^ (x >> 30)) * 0xbf58476d1ce4e5b9;
        x = (x ^ (x >> 27)) * 0x94d049bb133111eb;
        return x ^ (x >> 31);
    }

    size_t operator()(uint64_t x) const {
        static const uint64_t FIXED_RANDOM = chrono::steady_clock::now().time_since_epoch().count();
        return splitmix64(x + FIXED_RANDOM);
    }
};

template<typename T>
using min_heap = priority_queue<T, vector<T>, greater<T>>;
template<typename T>
using max_heap = priority_queue<T, vector<T>, less<T>>;
template<typename T>
using ordered_set = tree<T, null_type, less<T>, rb_tree_tag, tree_order_statistics_node_update>;
template<typename T>
using ordered_multiset = tree<T, null_type, less_equal<T>, rb_tree_tag, tree_order_statistics_node_update>;
template<typename T>
using matrix = vector<vector<T>>;
template<typename T>
using graph = vector<vector<T>>;
using hashmap = gp_hash_table<int, int, custom_hash>;

template<typename T>
vector<T> vect(int n, T val) {
    return vector<T>(n, val);
}

template<typename T>
vector<vector<T>> vect(int n, int m, T val) {
    return vector<vector<T>>(n, vector<T>(m, val));
}

template<typename T>
vector<vector<vector<T>>> vect(int n, int m, int k, T val) {
    return vector<vector<vector<T>>>(n, vector<vector<T>>(m, vector<T>(k, val)));
}

template<typename T>
vector<vector<vector<vector<T>>>> vect(int n, int m, int k, int l, T val) {
    return vector<vector<vector<vector<T>>>>(n, vector<vector<vector<T>>>(m, vector<vector<T>>(k, vector<T>(l, val))));
}

template<typename T>
matrix<T> new_matrix(int n, int m, T val) {
    return matrix<T>(n, vector<T>(m, val));
}

template<typename T>
graph<T> new_graph(int n) {
    return graph<T>(n);
}

template<class T, class S>
inline bool chmax(T &a, const S &b) {
    return (a < b ? a = b, 1 : 0);
}

template<class T, class S>
inline bool chmin(T &a, const S &b) {
    return (a > b ? a = b, 1 : 0);
}

using i8 = int8_t;
using i16 = int16_t;
using i32 = int32_t;
using i64 = int64_t;
using i128 = __int128_t;
using u8 = uint8_t;
using u16 = uint16_t;
using u32 = uint32_t;
using u64 = uint64_t;
using u128 = __uint128_t;

template<typename T>
using vec = vector<T>;

using pII = pair<int, int>;
template<typename T>
using enumerated = pair<T, int>;


struct state {
    int val;
    int count_groups;
};
int n;
vec<int> a;

bool chset(state &x, const state &y) {
    if (x.val < y.val) {
        x = y;
        return true;
    }

    if (x.val == y.val and x.count_groups > y.count_groups) {
        x = y;
        return true;
    }

    return false;
}

state solve(int pen) {
    vec<state> dp(n + 1);
    dp[0] = {0, 0};
    state best = {0, 0};
    int cur_p = 0;
    for (int i = 1; i <= n; i++) {
        cur_p += a[i - 1];
        dp[i] = best;
        dp[i].val += cur_p - pen;
        dp[i].count_groups++;
        chset(dp[i], dp[i - 1]);
        auto var = dp[i];
        var.val -= cur_p;
        chset(best, var);
    }
    return dp[n];
}


signed main() {
    ios_base::sync_with_stdio(false);
    cin.tie(nullptr);
    cout.tie(nullptr);
    int k;
    cin >> n >> k;
    a.resize(n);
    for (int i = 0; i < n; i++)
        cin >> a[i];
    int tl = 0;
    int tr = 1e15;
    while (tl != tr) {
        int tm = (tl + tr) / 2;
        if (solve(tm).count_groups <= k)
            tr = tm;
        else
            tl = tm + 1;
    }
    cout << solve(tl).val + tl * k << endl;
}
# Verdict Execution time Memory Grader output
1 Correct 56 ms 10060 KB Output is correct
2 Correct 52 ms 10240 KB Output is correct
3 Correct 52 ms 10324 KB Output is correct
4 Correct 50 ms 10284 KB Output is correct
5 Correct 54 ms 10076 KB Output is correct
6 Correct 51 ms 10076 KB Output is correct
7 Correct 54 ms 9952 KB Output is correct
8 Correct 51 ms 10296 KB Output is correct
9 Correct 50 ms 10064 KB Output is correct
10 Correct 54 ms 10072 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 72 ms 8316 KB Output is correct
2 Correct 70 ms 8536 KB Output is correct
3 Correct 70 ms 8320 KB Output is correct
4 Correct 56 ms 8280 KB Output is correct
5 Correct 52 ms 10068 KB Output is correct
6 Correct 58 ms 8412 KB Output is correct
7 Correct 59 ms 8540 KB Output is correct
8 Correct 53 ms 10204 KB Output is correct
9 Correct 51 ms 10076 KB Output is correct
10 Correct 65 ms 8528 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 92 ms 10392 KB Output is correct
2 Correct 91 ms 10288 KB Output is correct
3 Correct 92 ms 10172 KB Output is correct
4 Correct 95 ms 10328 KB Output is correct
5 Correct 92 ms 10332 KB Output is correct
6 Correct 92 ms 10324 KB Output is correct
7 Correct 100 ms 10320 KB Output is correct
8 Correct 92 ms 10184 KB Output is correct
9 Correct 93 ms 10508 KB Output is correct
10 Correct 96 ms 10332 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 1 ms 348 KB Output is correct
2 Correct 0 ms 348 KB Output is correct
3 Correct 1 ms 348 KB Output is correct
4 Correct 0 ms 604 KB Output is correct
5 Correct 0 ms 456 KB Output is correct
6 Correct 1 ms 344 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
# Verdict Execution time Memory Grader output
1 Correct 1 ms 348 KB Output is correct
2 Correct 0 ms 348 KB Output is correct
3 Correct 1 ms 348 KB Output is correct
4 Correct 0 ms 604 KB Output is correct
5 Correct 0 ms 456 KB Output is correct
6 Correct 1 ms 344 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 1 ms 348 KB Output is correct
14 Correct 0 ms 348 KB Output is correct
15 Correct 1 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 0 ms 348 KB Output is correct
20 Correct 1 ms 600 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 1 ms 348 KB Output is correct
2 Correct 0 ms 348 KB Output is correct
3 Correct 1 ms 348 KB Output is correct
4 Correct 0 ms 604 KB Output is correct
5 Correct 0 ms 456 KB Output is correct
6 Correct 1 ms 344 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 1 ms 348 KB Output is correct
14 Correct 0 ms 348 KB Output is correct
15 Correct 1 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 0 ms 348 KB Output is correct
20 Correct 1 ms 600 KB Output is correct
21 Correct 1 ms 344 KB Output is correct
22 Correct 1 ms 348 KB Output is correct
23 Correct 1 ms 468 KB Output is correct
24 Correct 1 ms 348 KB Output is correct
25 Correct 1 ms 600 KB Output is correct
26 Correct 1 ms 344 KB Output is correct
27 Correct 1 ms 348 KB Output is correct
28 Correct 1 ms 348 KB Output is correct
29 Correct 1 ms 348 KB Output is correct
30 Correct 1 ms 348 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 56 ms 10060 KB Output is correct
2 Correct 52 ms 10240 KB Output is correct
3 Correct 52 ms 10324 KB Output is correct
4 Correct 50 ms 10284 KB Output is correct
5 Correct 54 ms 10076 KB Output is correct
6 Correct 51 ms 10076 KB Output is correct
7 Correct 54 ms 9952 KB Output is correct
8 Correct 51 ms 10296 KB Output is correct
9 Correct 50 ms 10064 KB Output is correct
10 Correct 54 ms 10072 KB Output is correct
11 Correct 72 ms 8316 KB Output is correct
12 Correct 70 ms 8536 KB Output is correct
13 Correct 70 ms 8320 KB Output is correct
14 Correct 56 ms 8280 KB Output is correct
15 Correct 52 ms 10068 KB Output is correct
16 Correct 58 ms 8412 KB Output is correct
17 Correct 59 ms 8540 KB Output is correct
18 Correct 53 ms 10204 KB Output is correct
19 Correct 51 ms 10076 KB Output is correct
20 Correct 65 ms 8528 KB Output is correct
21 Correct 92 ms 10392 KB Output is correct
22 Correct 91 ms 10288 KB Output is correct
23 Correct 92 ms 10172 KB Output is correct
24 Correct 95 ms 10328 KB Output is correct
25 Correct 92 ms 10332 KB Output is correct
26 Correct 92 ms 10324 KB Output is correct
27 Correct 100 ms 10320 KB Output is correct
28 Correct 92 ms 10184 KB Output is correct
29 Correct 93 ms 10508 KB Output is correct
30 Correct 96 ms 10332 KB Output is correct
31 Correct 1 ms 348 KB Output is correct
32 Correct 0 ms 348 KB Output is correct
33 Correct 1 ms 348 KB Output is correct
34 Correct 0 ms 604 KB Output is correct
35 Correct 0 ms 456 KB Output is correct
36 Correct 1 ms 344 KB Output is correct
37 Correct 0 ms 348 KB Output is correct
38 Correct 0 ms 348 KB Output is correct
39 Correct 0 ms 348 KB Output is correct
40 Correct 0 ms 348 KB Output is correct
41 Correct 0 ms 348 KB Output is correct
42 Correct 0 ms 348 KB Output is correct
43 Correct 1 ms 348 KB Output is correct
44 Correct 0 ms 348 KB Output is correct
45 Correct 1 ms 348 KB Output is correct
46 Correct 0 ms 348 KB Output is correct
47 Correct 0 ms 348 KB Output is correct
48 Correct 0 ms 348 KB Output is correct
49 Correct 0 ms 348 KB Output is correct
50 Correct 1 ms 600 KB Output is correct
51 Correct 1 ms 344 KB Output is correct
52 Correct 1 ms 348 KB Output is correct
53 Correct 1 ms 468 KB Output is correct
54 Correct 1 ms 348 KB Output is correct
55 Correct 1 ms 600 KB Output is correct
56 Correct 1 ms 344 KB Output is correct
57 Correct 1 ms 348 KB Output is correct
58 Correct 1 ms 348 KB Output is correct
59 Correct 1 ms 348 KB Output is correct
60 Correct 1 ms 348 KB Output is correct
61 Correct 120 ms 10108 KB Output is correct
62 Correct 125 ms 10508 KB Output is correct
63 Correct 105 ms 10120 KB Output is correct
64 Correct 123 ms 10328 KB Output is correct
65 Correct 139 ms 10324 KB Output is correct
66 Correct 120 ms 10332 KB Output is correct
67 Correct 120 ms 10196 KB Output is correct
68 Correct 97 ms 10324 KB Output is correct
69 Correct 91 ms 10196 KB Output is correct
70 Correct 97 ms 10132 KB Output is correct