oj.uz

Submission #998435

# Submission time Handle Problem Language Result Execution time Memory
998435 2024-06-14T01:49:18 Z HUECTRUM Feast (NOI19_feast) C++14
100 / 100
 198 ms 15188 KB 
#include <iostream>
#include <utility>
#include <vector>
#include <algorithm>
#include <numeric>
#include <map>
#include <unordered_set>
#include <iostream>
#include <utility>
#include <vector>
#include <algorithm>
#include <numeric>
#include <map>
#include <unordered_set>
#include <unordered_map>
#include <queue>
#include <set>
#include <stack>
#include <fstream>
#include <ext/pb_ds/assoc_container.hpp>
#include <ext/pb_ds/tree_policy.hpp>
#include <bitset>
#include <sstream>
#include <ext/rope>
#include <ctime>
#include <random>
#include <cstdlib>
#include <complex>

using namespace std;
using namespace __gnu_pbds;
using namespace __gnu_cxx;

/* clang-format off */

/* TYPES  */
#define ll long long
#define pii pair<int, int>
#define pll pair<long long, long long>
#define vi vector<int>
#define vll vector<long long>
#define vpii vector<pair<int, int>>
#define vpii vector<pair<int, int>>
#define vvpii vector<vector<pair<int, int>>>
#define vpll vector<pair<long long, long long>>
#define vvpll vector<vector<pair<long long, long long>>>
#define vvi vector<vector<int>>
#define vvll vector<vector<long long>>
#define mii map<int, int>
#define si set<int>
#define sc set<char>



/* FUNCTIONS */
#define feach(el, v) for(auto &el: v)
#define rep(i, n) for(int i=0;i<n;i++)
#define reprv(i, n) for(int i=n-1;i>=0;i--)
#define reps(i, s, e) for(int i=s;i<e;i++)
#define reprve(i, e, s) for(int i=e-1;i>=s;i--)
#define repe(x, y) for (auto &x: y)
#define repe2(x, a, y) for (auto &[x,a]: y)

typedef tree<int, null_type, less_equal<>, rb_tree_tag, tree_order_statistics_node_update> oSet;

const ll mod = 1e9 + 7;

template<ll mod = 1000000007>
struct ModInt {
    ll p;

    ModInt() : p(0) {}

    ModInt(ll x) { p = x >= 0 ? x % mod : x + (-x + mod - 1) / mod * mod; }

    ModInt &operator+=(const ModInt &y) {
        p = p + *y - ((p + *y) >= mod ? mod : 0);
        return *this;
    }

    ModInt &operator-=(const ModInt &y) {
        p = p - *y + (p - *y < 0 ? mod : 0);
        return *this;
    }

    ModInt &operator*=(const ModInt &y) {
        p = (p * *y) % mod;
        return *this;
    }

    ModInt &operator%=(const ModInt &y) {
        if (y)p %= *y;
        return *this;
    }

    ModInt operator+(const ModInt &y) const {
        ModInt x = *this;
        return x += y;
    }

    ModInt operator-(const ModInt &y) const {
        ModInt x = *this;
        return x -= y;
    }

    ModInt operator*(const ModInt &y) const {
        ModInt x = *this;
        return x *= y;
    }

    ModInt operator%(const ModInt &y) const {
        ModInt x = *this;
        return x %= y;
    }

    ModInt binpow(const ModInt &y, ll pow) const {
        pow %= mod - 1;
        ModInt res = 1, a = y;
        while (pow) {
            if (pow & 1) res *= a;
            a *= a, pow >>= 1;
        }
        return res;
    }

    ModInt inv() const { return binpow(*this, mod - 2); }

    ModInt &operator/=(const ModInt &y) {
        p = (p * y.inv().p) % mod;
        return *this;
    }

    ModInt operator/(const ModInt &y) const {
        ModInt x = *this;
        return x /= y;
    }

    friend istream &operator>>(istream &is, ModInt &a) {
        int v;
        is >> v;
        a = ModInt(v);
        return is;
    }

    friend ostream &operator<<(ostream &os, const ModInt &a) { return os << a.p; }

    ModInt &operator++() {
        p = (p + 1) % mod;
        return *this;
    }

    ModInt &operator--() {
        p = (p - 1 + mod) % mod;
        return *this;
    }

    bool operator==(const ModInt &y) const { return p == *y; }

    bool operator!=(const ModInt &y) const { return p != *y; }

    const ll &operator*() const { return p; }

    ll &operator*() { return p; }

};

using Mint = ModInt<>;
#define vmint vector<Mint>

#pragma GCC target("popcnt")

//////////////////////////////////////////////////////////////////////////
int n;
vll v;

pll solve(ll lambda) {
    pair<ll, ll> dp[n][2];

    dp[0][0] = {0, 0}, dp[0][1] = {v[0] - lambda, 1};

    reps(i, 1, n) {
        dp[i][0] = max(dp[i - 1][0], dp[i - 1][1]);
        dp[i][1] = max(
                make_pair(dp[i - 1][0].first + v[i] - lambda, dp[i - 1][0].second + 1),
                make_pair(dp[i - 1][1].first + v[i], dp[i - 1][1].second)
        );
    }

    return max(dp[n - 1][0], dp[n - 1][1]);
}

int main() {
    int k; cin >> n >> k;

    v = vll(n); rep(i, n) cin >> v[i];

    ll l = 0, r = 1e18;
    while (r - l > 1) {
        ll mid = (l + r + 1) / 2;
        pll sol = solve(mid);

        if (sol.second >= k) l = mid;
        else r = mid - 1;
    }

    cout << solve(l).first + k * l;
}

Subtask #1
4.0 / 4.0

# Verdict Execution time Memory Grader output
1 Correct 119 ms 11656 KB Output is correct
2 Correct 122 ms 14672 KB Output is correct
3 Correct 124 ms 14924 KB Output is correct
4 Correct 128 ms 14672 KB Output is correct
5 Correct 124 ms 14628 KB Output is correct
6 Correct 121 ms 14420 KB Output is correct
7 Correct 128 ms 14416 KB Output is correct
8 Correct 124 ms 14772 KB Output is correct
9 Correct 122 ms 14596 KB Output is correct
10 Correct 121 ms 14628 KB Output is correct

Subtask #2
8.0 / 8.0

# Verdict Execution time Memory Grader output
1 Correct 93 ms 11860 KB Output is correct
2 Correct 87 ms 13140 KB Output is correct
3 Correct 84 ms 12880 KB Output is correct
4 Correct 85 ms 12884 KB Output is correct
5 Correct 123 ms 14600 KB Output is correct
6 Correct 84 ms 12884 KB Output is correct
7 Correct 89 ms 13140 KB Output is correct
8 Correct 122 ms 14932 KB Output is correct
9 Correct 119 ms 14568 KB Output is correct
10 Correct 95 ms 13100 KB Output is correct

Subtask #3
18.0 / 18.0

# Verdict Execution time Memory Grader output
1 Correct 153 ms 11964 KB Output is correct
2 Correct 152 ms 14852 KB Output is correct
3 Correct 154 ms 14880 KB Output is correct
4 Correct 155 ms 15028 KB Output is correct
5 Correct 151 ms 14776 KB Output is correct
6 Correct 151 ms 14936 KB Output is correct
7 Correct 151 ms 14932 KB Output is correct
8 Correct 149 ms 14932 KB Output is correct
9 Correct 152 ms 14928 KB Output is correct
10 Correct 154 ms 14928 KB Output is correct

Subtask #4
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 348 KB Output is correct
2 Correct 0 ms 348 KB Output is correct
3 Correct 0 ms 348 KB Output is correct
4 Correct 1 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 1 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 #5
11.0 / 11.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 348 KB Output is correct
2 Correct 0 ms 348 KB Output is correct
3 Correct 0 ms 348 KB Output is correct
4 Correct 1 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 1 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 348 KB Output is correct
15 Correct 0 ms 436 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 360 KB Output is correct
19 Correct 0 ms 348 KB Output is correct
20 Correct 0 ms 348 KB Output is correct

Subtask #6
20.0 / 20.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 348 KB Output is correct
2 Correct 0 ms 348 KB Output is correct
3 Correct 0 ms 348 KB Output is correct
4 Correct 1 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 1 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 348 KB Output is correct
15 Correct 0 ms 436 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 360 KB Output is correct
19 Correct 0 ms 348 KB Output is correct
20 Correct 0 ms 348 KB Output is correct
21 Correct 1 ms 344 KB Output is correct
22 Correct 2 ms 348 KB Output is correct
23 Correct 1 ms 348 KB Output is correct
24 Correct 1 ms 348 KB Output is correct
25 Correct 1 ms 348 KB Output is correct
26 Correct 1 ms 348 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 476 KB Output is correct
30 Correct 1 ms 348 KB Output is correct

Subtask #7
29.0 / 29.0

# Verdict Execution time Memory Grader output
1 Correct 119 ms 11656 KB Output is correct
2 Correct 122 ms 14672 KB Output is correct
3 Correct 124 ms 14924 KB Output is correct
4 Correct 128 ms 14672 KB Output is correct
5 Correct 124 ms 14628 KB Output is correct
6 Correct 121 ms 14420 KB Output is correct
7 Correct 128 ms 14416 KB Output is correct
8 Correct 124 ms 14772 KB Output is correct
9 Correct 122 ms 14596 KB Output is correct
10 Correct 121 ms 14628 KB Output is correct
11 Correct 93 ms 11860 KB Output is correct
12 Correct 87 ms 13140 KB Output is correct
13 Correct 84 ms 12880 KB Output is correct
14 Correct 85 ms 12884 KB Output is correct
15 Correct 123 ms 14600 KB Output is correct
16 Correct 84 ms 12884 KB Output is correct
17 Correct 89 ms 13140 KB Output is correct
18 Correct 122 ms 14932 KB Output is correct
19 Correct 119 ms 14568 KB Output is correct
20 Correct 95 ms 13100 KB Output is correct
21 Correct 153 ms 11964 KB Output is correct
22 Correct 152 ms 14852 KB Output is correct
23 Correct 154 ms 14880 KB Output is correct
24 Correct 155 ms 15028 KB Output is correct
25 Correct 151 ms 14776 KB Output is correct
26 Correct 151 ms 14936 KB Output is correct
27 Correct 151 ms 14932 KB Output is correct
28 Correct 149 ms 14932 KB Output is correct
29 Correct 152 ms 14928 KB Output is correct
30 Correct 154 ms 14928 KB Output is correct
31 Correct 0 ms 348 KB Output is correct
32 Correct 0 ms 348 KB Output is correct
33 Correct 0 ms 348 KB Output is correct
34 Correct 1 ms 348 KB Output is correct
35 Correct 0 ms 348 KB Output is correct
36 Correct 0 ms 348 KB Output is correct
37 Correct 1 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 0 ms 348 KB Output is correct
44 Correct 0 ms 348 KB Output is correct
45 Correct 0 ms 436 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 360 KB Output is correct
49 Correct 0 ms 348 KB Output is correct
50 Correct 0 ms 348 KB Output is correct
51 Correct 1 ms 344 KB Output is correct
52 Correct 2 ms 348 KB Output is correct
53 Correct 1 ms 348 KB Output is correct
54 Correct 1 ms 348 KB Output is correct
55 Correct 1 ms 348 KB Output is correct
56 Correct 1 ms 348 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 476 KB Output is correct
60 Correct 1 ms 348 KB Output is correct
61 Correct 198 ms 14672 KB Output is correct
62 Correct 183 ms 15188 KB Output is correct
63 Correct 161 ms 14676 KB Output is correct
64 Correct 181 ms 15188 KB Output is correct
65 Correct 186 ms 14928 KB Output is correct
66 Correct 189 ms 14928 KB Output is correct
67 Correct 181 ms 14672 KB Output is correct
68 Correct 153 ms 14928 KB Output is correct
69 Correct 151 ms 14588 KB Output is correct
70 Correct 147 ms 14672 KB Output is correct