Submission #923779

# Submission time Handle Problem Language Result Execution time Memory
923779 2024-02-07T18:30:05 Z Karoot Feast (NOI19_feast) C++17
100 / 100
261 ms 25180 KB
#pragma GCC optimize("Ofast,inline") 
#pragma GCC optimize ("unroll-loops")

#include <iostream>
#include <cmath>
#include <unordered_map>
#include <map>
#include <set>
#include <queue>
#include <vector>
#include <string>
#include <iomanip>
#include <algorithm>
#include <chrono>

#define all(x)  (x).begin(), (x).end()
#define rall(x)  (x).rbegin(), (x).rend()

using namespace std;

typedef long long ll;

ll linf = 1e15+1;

inline void scoobydoobydoo(){
    ios::sync_with_stdio(false);
    ios_base::sync_with_stdio(false);
    cin.tie(NULL); cout.tie(NULL);
}

const int MAXN = 3e5+3;
ll arr[MAXN];
pair<long double, ll> mem[MAXN][2];
ll n, k; 
bool isVisited[MAXN][2];

long double lambda;

pair<long double, ll> dp(){
    mem[0][0] = {0, 0};
    mem[0][1] = {arr[0]-lambda, 1};
    for (int i = 1; i < n; i++){
        // 0
        mem[i][0] = max(mem[i-1][0], mem[i-1][1]);

        //buy from 0, continue 1

        mem[i][1] = max(make_pair(mem[i-1][0].first+arr[i]-lambda, mem[i-1][0].second+1), make_pair(mem[i-1][1].first+arr[i], mem[i-1][1].second));
    }
    return max(mem[n-1][0], mem[n-1][1]);
}

bool check(long double la){
    lambda = la;
    for (int i = 0; i < n; i++){
        isVisited[i][0] = false;
        isVisited[i][1] = false;
    }
    //cout << la << " " << dp(0, 0).first << " " << dp(0, 0).second << endl;
    return dp().second >= k; 
}

int main(){
    scoobydoobydoo();
    cin >> n >> k;
    for (int i = 0; i < n; i++)cin >> arr[i];

    long double b = 0;
    for (int i = 0; i < n; i++)b += abs(arr[i]);

    long double a = 0;

    chrono::time_point<chrono::system_clock> start, end;

    start = chrono::system_clock::now();

    while (a+(1e-3) < b){
        long double mid = (a+b)/2.0;
        if (check(mid)){
            a = mid;
        } else {
            b = mid;
        }
        end = chrono::system_clock::now();
        chrono::duration<double> elapsed_seconds = end - start;
        if (elapsed_seconds.count() > 0.9)break;
    }

    check(a);

    ll ans = round(a*k + max(mem[n-1][0], mem[n-1][1]).first);
    
    cout << ans << endl;


    return 0;
}
# Verdict Execution time Memory Grader output
1 Correct 147 ms 22084 KB Output is correct
2 Correct 145 ms 22108 KB Output is correct
3 Correct 144 ms 22096 KB Output is correct
4 Correct 135 ms 22144 KB Output is correct
5 Correct 156 ms 21960 KB Output is correct
6 Correct 147 ms 22096 KB Output is correct
7 Correct 138 ms 22088 KB Output is correct
8 Correct 147 ms 22136 KB Output is correct
9 Correct 163 ms 22104 KB Output is correct
10 Correct 147 ms 22100 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 98 ms 22104 KB Output is correct
2 Correct 99 ms 22156 KB Output is correct
3 Correct 94 ms 22108 KB Output is correct
4 Correct 100 ms 22120 KB Output is correct
5 Correct 137 ms 21844 KB Output is correct
6 Correct 105 ms 22104 KB Output is correct
7 Correct 97 ms 22152 KB Output is correct
8 Correct 158 ms 22152 KB Output is correct
9 Correct 146 ms 22084 KB Output is correct
10 Correct 105 ms 22144 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 185 ms 22056 KB Output is correct
2 Correct 192 ms 22100 KB Output is correct
3 Correct 196 ms 22124 KB Output is correct
4 Correct 184 ms 22104 KB Output is correct
5 Correct 179 ms 22108 KB Output is correct
6 Correct 195 ms 22140 KB Output is correct
7 Correct 186 ms 22144 KB Output is correct
8 Correct 181 ms 21980 KB Output is correct
9 Correct 206 ms 22152 KB Output is correct
10 Correct 187 ms 22152 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 1 ms 4444 KB Output is correct
2 Correct 1 ms 4444 KB Output is correct
3 Correct 1 ms 4508 KB Output is correct
4 Correct 1 ms 4444 KB Output is correct
5 Correct 1 ms 4444 KB Output is correct
6 Correct 1 ms 4444 KB Output is correct
7 Correct 1 ms 4444 KB Output is correct
8 Correct 1 ms 4444 KB Output is correct
9 Correct 1 ms 4444 KB Output is correct
10 Correct 1 ms 4444 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 1 ms 4444 KB Output is correct
2 Correct 1 ms 4444 KB Output is correct
3 Correct 1 ms 4508 KB Output is correct
4 Correct 1 ms 4444 KB Output is correct
5 Correct 1 ms 4444 KB Output is correct
6 Correct 1 ms 4444 KB Output is correct
7 Correct 1 ms 4444 KB Output is correct
8 Correct 1 ms 4444 KB Output is correct
9 Correct 1 ms 4444 KB Output is correct
10 Correct 1 ms 4444 KB Output is correct
11 Correct 1 ms 4444 KB Output is correct
12 Correct 1 ms 4444 KB Output is correct
13 Correct 1 ms 4444 KB Output is correct
14 Correct 1 ms 4444 KB Output is correct
15 Correct 1 ms 4444 KB Output is correct
16 Correct 1 ms 4444 KB Output is correct
17 Correct 1 ms 4444 KB Output is correct
18 Correct 1 ms 4444 KB Output is correct
19 Correct 1 ms 4444 KB Output is correct
20 Correct 1 ms 4444 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 1 ms 4444 KB Output is correct
2 Correct 1 ms 4444 KB Output is correct
3 Correct 1 ms 4508 KB Output is correct
4 Correct 1 ms 4444 KB Output is correct
5 Correct 1 ms 4444 KB Output is correct
6 Correct 1 ms 4444 KB Output is correct
7 Correct 1 ms 4444 KB Output is correct
8 Correct 1 ms 4444 KB Output is correct
9 Correct 1 ms 4444 KB Output is correct
10 Correct 1 ms 4444 KB Output is correct
11 Correct 1 ms 4444 KB Output is correct
12 Correct 1 ms 4444 KB Output is correct
13 Correct 1 ms 4444 KB Output is correct
14 Correct 1 ms 4444 KB Output is correct
15 Correct 1 ms 4444 KB Output is correct
16 Correct 1 ms 4444 KB Output is correct
17 Correct 1 ms 4444 KB Output is correct
18 Correct 1 ms 4444 KB Output is correct
19 Correct 1 ms 4444 KB Output is correct
20 Correct 1 ms 4444 KB Output is correct
21 Correct 2 ms 4444 KB Output is correct
22 Correct 2 ms 4444 KB Output is correct
23 Correct 2 ms 4444 KB Output is correct
24 Correct 2 ms 4696 KB Output is correct
25 Correct 2 ms 4568 KB Output is correct
26 Correct 2 ms 4444 KB Output is correct
27 Correct 2 ms 4444 KB Output is correct
28 Correct 2 ms 4444 KB Output is correct
29 Correct 2 ms 4440 KB Output is correct
30 Correct 2 ms 4444 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 147 ms 22084 KB Output is correct
2 Correct 145 ms 22108 KB Output is correct
3 Correct 144 ms 22096 KB Output is correct
4 Correct 135 ms 22144 KB Output is correct
5 Correct 156 ms 21960 KB Output is correct
6 Correct 147 ms 22096 KB Output is correct
7 Correct 138 ms 22088 KB Output is correct
8 Correct 147 ms 22136 KB Output is correct
9 Correct 163 ms 22104 KB Output is correct
10 Correct 147 ms 22100 KB Output is correct
11 Correct 98 ms 22104 KB Output is correct
12 Correct 99 ms 22156 KB Output is correct
13 Correct 94 ms 22108 KB Output is correct
14 Correct 100 ms 22120 KB Output is correct
15 Correct 137 ms 21844 KB Output is correct
16 Correct 105 ms 22104 KB Output is correct
17 Correct 97 ms 22152 KB Output is correct
18 Correct 158 ms 22152 KB Output is correct
19 Correct 146 ms 22084 KB Output is correct
20 Correct 105 ms 22144 KB Output is correct
21 Correct 185 ms 22056 KB Output is correct
22 Correct 192 ms 22100 KB Output is correct
23 Correct 196 ms 22124 KB Output is correct
24 Correct 184 ms 22104 KB Output is correct
25 Correct 179 ms 22108 KB Output is correct
26 Correct 195 ms 22140 KB Output is correct
27 Correct 186 ms 22144 KB Output is correct
28 Correct 181 ms 21980 KB Output is correct
29 Correct 206 ms 22152 KB Output is correct
30 Correct 187 ms 22152 KB Output is correct
31 Correct 1 ms 4444 KB Output is correct
32 Correct 1 ms 4444 KB Output is correct
33 Correct 1 ms 4508 KB Output is correct
34 Correct 1 ms 4444 KB Output is correct
35 Correct 1 ms 4444 KB Output is correct
36 Correct 1 ms 4444 KB Output is correct
37 Correct 1 ms 4444 KB Output is correct
38 Correct 1 ms 4444 KB Output is correct
39 Correct 1 ms 4444 KB Output is correct
40 Correct 1 ms 4444 KB Output is correct
41 Correct 1 ms 4444 KB Output is correct
42 Correct 1 ms 4444 KB Output is correct
43 Correct 1 ms 4444 KB Output is correct
44 Correct 1 ms 4444 KB Output is correct
45 Correct 1 ms 4444 KB Output is correct
46 Correct 1 ms 4444 KB Output is correct
47 Correct 1 ms 4444 KB Output is correct
48 Correct 1 ms 4444 KB Output is correct
49 Correct 1 ms 4444 KB Output is correct
50 Correct 1 ms 4444 KB Output is correct
51 Correct 2 ms 4444 KB Output is correct
52 Correct 2 ms 4444 KB Output is correct
53 Correct 2 ms 4444 KB Output is correct
54 Correct 2 ms 4696 KB Output is correct
55 Correct 2 ms 4568 KB Output is correct
56 Correct 2 ms 4444 KB Output is correct
57 Correct 2 ms 4444 KB Output is correct
58 Correct 2 ms 4444 KB Output is correct
59 Correct 2 ms 4440 KB Output is correct
60 Correct 2 ms 4444 KB Output is correct
61 Correct 241 ms 22108 KB Output is correct
62 Correct 255 ms 22152 KB Output is correct
63 Correct 214 ms 22112 KB Output is correct
64 Correct 249 ms 22136 KB Output is correct
65 Correct 260 ms 25180 KB Output is correct
66 Correct 256 ms 25168 KB Output is correct
67 Correct 261 ms 25076 KB Output is correct
68 Correct 189 ms 25100 KB Output is correct
69 Correct 181 ms 25076 KB Output is correct
70 Correct 182 ms 25028 KB Output is correct