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Submission #1017648

# Submission time Handle Problem Language Result Execution time Memory
1017648 2024-07-09T09:19:27 Z vjudge1 Feast (NOI19_feast) C++17
100 / 100
 216 ms 2924 KB 
#include <bits/stdc++.h>
#define F first
#define S second
#define ll long long
#define pii pair<ll,ll>
const int mxN = 3e5 + 5;
const int mod = 1e9 + 7;
using namespace std;
bool operator>(pair<ll,int> a,pair<ll,int>b){
    return make_pair(a.F,-1 * a.S) > make_pair(b.F, -1 * b.S);
}
bool operator<(pair<ll,int> a,pair<ll,int>b){
    return make_pair(a.F,-1 * a.S) < make_pair(b.F, -1 * b.S);
}
int n,k;
ll a[mxN];
pair<ll,int> dp[2][2];
pair<ll,int> num;
ll ans;
bool solve(ll lam){
    // cout<<lam<<'\n';
    for(int i = 0;i <= 1;i++){
        dp[i][0] = make_pair(0,0);
        dp[i][1] = make_pair(0,0);
    }
    for(int i = 1;i <= n;i++){
        // cout<<(i & 1)<<' '<<(~i & 1)<<'\n';
        dp[(i & 1)][0] = max(dp[(~i & 1)][0],dp[(~i & 1)][1]);
        dp[(i & 1)][1] = make_pair(dp[(~i & 1)][0].F + a[i] - lam,dp[~i & 1][0].S + 1);
        if(i > 1) dp[(i & 1)][1] = max(dp[(i & 1)][1],make_pair(dp[~i & 1][1].F + a[i],dp[~i & 1][1].S));
        // cout<<dp[(i & 1)][0].F<<' '<<dp[(i & 1)][0].S<<' '<<dp[(i & 1)][1].F<<' '<<dp[(i & 1)][1].S<<'\n';
    }
    num = max(dp[n & 1][0],dp[n & 1][1]);
    // cout<<num.F<<' '<<num.S<<'\n';
    return (num.S <= k);
}
signed main(){
    // cout<<"TEST";
    cin >>n>>k;
    for(int i = 1;i <= n;i++) cin >>a[i];
    ll l = 0,r = 1e16,md;
    while(l < r){
        md = (l + r) / 2;
        if(solve(md)){
            r = md;
            ans = num.F + num.S * md;
        }else l = md + 1;
    }
    cout<<ans;
}

Subtask #1
4.0 / 4.0

# Verdict Execution time Memory Grader output
1 Correct 119 ms 2640 KB Output is correct
2 Correct 118 ms 2492 KB Output is correct
3 Correct 120 ms 2640 KB Output is correct
4 Correct 118 ms 2640 KB Output is correct
5 Correct 118 ms 2716 KB Output is correct
6 Correct 117 ms 2644 KB Output is correct
7 Correct 116 ms 2644 KB Output is correct
8 Correct 120 ms 2728 KB Output is correct
9 Correct 116 ms 2604 KB Output is correct
10 Correct 122 ms 2644 KB Output is correct

Subtask #2
8.0 / 8.0

# Verdict Execution time Memory Grader output
1 Correct 83 ms 2624 KB Output is correct
2 Correct 84 ms 2640 KB Output is correct
3 Correct 90 ms 2640 KB Output is correct
4 Correct 86 ms 2700 KB Output is correct
5 Correct 127 ms 2496 KB Output is correct
6 Correct 85 ms 2924 KB Output is correct
7 Correct 86 ms 2640 KB Output is correct
8 Correct 132 ms 2640 KB Output is correct
9 Correct 115 ms 2524 KB Output is correct
10 Correct 84 ms 2644 KB Output is correct

Subtask #3
18.0 / 18.0

# Verdict Execution time Memory Grader output
1 Correct 148 ms 2644 KB Output is correct
2 Correct 147 ms 2628 KB Output is correct
3 Correct 152 ms 2544 KB Output is correct
4 Correct 149 ms 2900 KB Output is correct
5 Correct 150 ms 2640 KB Output is correct
6 Correct 150 ms 2716 KB Output is correct
7 Correct 149 ms 2572 KB Output is correct
8 Correct 162 ms 2640 KB Output is correct
9 Correct 150 ms 2644 KB Output is correct
10 Correct 167 ms 2644 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 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 #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 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 364 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 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 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 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 364 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 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 348 KB Output is correct
21 Correct 1 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 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 348 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 2640 KB Output is correct
2 Correct 118 ms 2492 KB Output is correct
3 Correct 120 ms 2640 KB Output is correct
4 Correct 118 ms 2640 KB Output is correct
5 Correct 118 ms 2716 KB Output is correct
6 Correct 117 ms 2644 KB Output is correct
7 Correct 116 ms 2644 KB Output is correct
8 Correct 120 ms 2728 KB Output is correct
9 Correct 116 ms 2604 KB Output is correct
10 Correct 122 ms 2644 KB Output is correct
11 Correct 83 ms 2624 KB Output is correct
12 Correct 84 ms 2640 KB Output is correct
13 Correct 90 ms 2640 KB Output is correct
14 Correct 86 ms 2700 KB Output is correct
15 Correct 127 ms 2496 KB Output is correct
16 Correct 85 ms 2924 KB Output is correct
17 Correct 86 ms 2640 KB Output is correct
18 Correct 132 ms 2640 KB Output is correct
19 Correct 115 ms 2524 KB Output is correct
20 Correct 84 ms 2644 KB Output is correct
21 Correct 148 ms 2644 KB Output is correct
22 Correct 147 ms 2628 KB Output is correct
23 Correct 152 ms 2544 KB Output is correct
24 Correct 149 ms 2900 KB Output is correct
25 Correct 150 ms 2640 KB Output is correct
26 Correct 150 ms 2716 KB Output is correct
27 Correct 149 ms 2572 KB Output is correct
28 Correct 162 ms 2640 KB Output is correct
29 Correct 150 ms 2644 KB Output is correct
30 Correct 167 ms 2644 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 0 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 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 364 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 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 348 KB Output is correct
51 Correct 1 ms 348 KB Output is correct
52 Correct 1 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 348 KB Output is correct
60 Correct 1 ms 348 KB Output is correct
61 Correct 174 ms 2552 KB Output is correct
62 Correct 174 ms 2644 KB Output is correct
63 Correct 160 ms 2640 KB Output is correct
64 Correct 180 ms 2500 KB Output is correct
65 Correct 188 ms 2572 KB Output is correct
66 Correct 216 ms 2716 KB Output is correct
67 Correct 181 ms 2640 KB Output is correct
68 Correct 155 ms 2644 KB Output is correct
69 Correct 149 ms 2644 KB Output is correct
70 Correct 150 ms 2640 KB Output is correct