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Submission #575901

# Submission time Handle Problem Language Result Execution time Memory
575901 2022-06-11T15:13:11 Z JovanB Discharging (NOI20_discharging) C++17
100 / 100
 265 ms 87540 KB 
#include <bits/stdc++.h>
using namespace std;

using ll = long long;
using ld = long double;

const int N = 1000000;
const ll INF = 1000000000000000000LL;

ll a[N+5];
ll dp[N+5];

struct line{
    ll k, n;
    ll eval(int x){ return k*x + n; }
} seg[4*N+5];

ll query(int node, int l, int r, int i){
    ll g = seg[node].eval(i);
    if(l == r) return g;
    int mid = (l+r)/2;
    if(i <= mid) return min(g, query(node*2, l, mid, i));
    return min(g, query(node*2+1, mid+1, r, i));
}

void upd(int node, int l, int r, line g){
    int mid = (l+r)/2;
    if(g.eval(mid) < seg[node].eval(mid)){
        swap(g, seg[node]);
    }
    if(l == r) return;
    if(seg[node].eval(l) > g.eval(l)) upd(node*2, l, mid, g);
    else upd(node*2+1, mid+1, r, g);
}

int main(){
    ios_base::sync_with_stdio(false), cin.tie(0);
    cout.precision(10);
    cout << fixed;

    int n;
    cin >> n;
    for(int i=1; i<=n; i++){
        cin >> a[i];
    }
    reverse(a+1, a+1+n);
    for(int i=1; i<=4*n; i++) seg[i].n = INF;
    vector <pair <int, int>> vec;
    for(int i=n; i>=1; i--){
        if(vec.empty() || vec.back().second < a[i]){
            vec.push_back({i, a[i]});
        }
    }
    reverse(vec.begin(), vec.end());
    for(int i=0; i<vec.size(); i++){
        int id, h;
        tie(id, h) = vec[i];
        line g;
        g.k = a[id];
        g.n = 0;
        if(i) g.n = dp[i-1];
        upd(1, 1, n, g);
        dp[i] = query(1, 1, n, id);
    }
    cout << dp[vec.size() - 1] << "\n";
    return 0;
}

Compilation message

Discharging.cpp: In function 'int main()':
Discharging.cpp:55:19: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<std::pair<int, int> >::size_type' {aka 'long unsigned int'} [-Wsign-compare]
   55 |     for(int i=0; i<vec.size(); i++){
      |                  ~^~~~~~~~~~~

Subtask #1
9.0 / 9.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 340 KB Output is correct
2 Correct 1 ms 332 KB Output is correct
3 Correct 0 ms 340 KB Output is correct
4 Correct 1 ms 340 KB Output is correct
5 Correct 1 ms 324 KB Output is correct
6 Correct 1 ms 340 KB Output is correct
7 Correct 1 ms 340 KB Output is correct
8 Correct 1 ms 328 KB Output is correct
9 Correct 1 ms 340 KB Output is correct
10 Correct 1 ms 340 KB Output is correct
11 Correct 1 ms 340 KB Output is correct
12 Correct 1 ms 340 KB Output is correct
13 Correct 1 ms 340 KB Output is correct
14 Correct 0 ms 340 KB Output is correct

Subtask #2
13.0 / 13.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 468 KB Output is correct
2 Correct 1 ms 468 KB Output is correct
3 Correct 1 ms 468 KB Output is correct
4 Correct 1 ms 468 KB Output is correct
5 Correct 1 ms 464 KB Output is correct
6 Correct 1 ms 468 KB Output is correct
7 Correct 1 ms 468 KB Output is correct
8 Correct 1 ms 468 KB Output is correct
9 Correct 1 ms 468 KB Output is correct
10 Correct 1 ms 468 KB Output is correct
11 Correct 1 ms 468 KB Output is correct
12 Correct 1 ms 468 KB Output is correct
13 Correct 1 ms 468 KB Output is correct
14 Correct 1 ms 464 KB Output is correct
15 Correct 1 ms 468 KB Output is correct

Subtask #3
25.0 / 25.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 468 KB Output is correct
2 Correct 1 ms 468 KB Output is correct
3 Correct 1 ms 468 KB Output is correct
4 Correct 1 ms 468 KB Output is correct
5 Correct 1 ms 464 KB Output is correct
6 Correct 1 ms 468 KB Output is correct
7 Correct 1 ms 468 KB Output is correct
8 Correct 1 ms 468 KB Output is correct
9 Correct 1 ms 468 KB Output is correct
10 Correct 1 ms 468 KB Output is correct
11 Correct 1 ms 468 KB Output is correct
12 Correct 1 ms 468 KB Output is correct
13 Correct 1 ms 468 KB Output is correct
14 Correct 1 ms 464 KB Output is correct
15 Correct 1 ms 468 KB Output is correct
16 Correct 190 ms 82060 KB Output is correct
17 Correct 191 ms 83780 KB Output is correct
18 Correct 139 ms 79680 KB Output is correct
19 Correct 187 ms 83608 KB Output is correct
20 Correct 188 ms 84168 KB Output is correct
21 Correct 184 ms 83624 KB Output is correct
22 Correct 179 ms 82604 KB Output is correct
23 Correct 265 ms 86692 KB Output is correct
24 Correct 195 ms 85028 KB Output is correct
25 Correct 206 ms 85472 KB Output is correct
26 Correct 221 ms 87540 KB Output is correct
27 Correct 160 ms 81336 KB Output is correct
28 Correct 196 ms 84008 KB Output is correct
29 Correct 206 ms 85500 KB Output is correct
30 Correct 216 ms 87008 KB Output is correct

Subtask #4
11.0 / 11.0

# Verdict Execution time Memory Grader output
1 Correct 152 ms 80564 KB Output is correct
2 Correct 117 ms 80412 KB Output is correct
3 Correct 119 ms 80372 KB Output is correct
4 Correct 117 ms 80312 KB Output is correct
5 Correct 123 ms 80332 KB Output is correct
6 Correct 119 ms 80368 KB Output is correct
7 Correct 126 ms 80328 KB Output is correct
8 Correct 125 ms 80320 KB Output is correct
9 Correct 123 ms 80356 KB Output is correct
10 Correct 124 ms 80336 KB Output is correct

Subtask #5
14.0 / 14.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 340 KB Output is correct
2 Correct 1 ms 332 KB Output is correct
3 Correct 0 ms 340 KB Output is correct
4 Correct 1 ms 340 KB Output is correct
5 Correct 1 ms 324 KB Output is correct
6 Correct 1 ms 340 KB Output is correct
7 Correct 1 ms 340 KB Output is correct
8 Correct 1 ms 328 KB Output is correct
9 Correct 1 ms 340 KB Output is correct
10 Correct 1 ms 340 KB Output is correct
11 Correct 1 ms 340 KB Output is correct
12 Correct 1 ms 340 KB Output is correct
13 Correct 1 ms 340 KB Output is correct
14 Correct 0 ms 340 KB Output is correct
15 Correct 1 ms 468 KB Output is correct
16 Correct 1 ms 468 KB Output is correct
17 Correct 1 ms 468 KB Output is correct
18 Correct 1 ms 468 KB Output is correct
19 Correct 1 ms 464 KB Output is correct
20 Correct 1 ms 468 KB Output is correct
21 Correct 1 ms 468 KB Output is correct
22 Correct 1 ms 468 KB Output is correct
23 Correct 1 ms 468 KB Output is correct
24 Correct 1 ms 468 KB Output is correct
25 Correct 1 ms 468 KB Output is correct
26 Correct 1 ms 468 KB Output is correct
27 Correct 1 ms 468 KB Output is correct
28 Correct 1 ms 464 KB Output is correct
29 Correct 1 ms 468 KB Output is correct
30 Correct 1 ms 340 KB Output is correct
31 Correct 1 ms 324 KB Output is correct
32 Correct 1 ms 340 KB Output is correct
33 Correct 1 ms 340 KB Output is correct
34 Correct 1 ms 340 KB Output is correct
35 Correct 1 ms 340 KB Output is correct
36 Correct 1 ms 340 KB Output is correct
37 Correct 1 ms 340 KB Output is correct
38 Correct 1 ms 340 KB Output is correct
39 Correct 1 ms 340 KB Output is correct
40 Correct 1 ms 340 KB Output is correct
41 Correct 1 ms 460 KB Output is correct
42 Correct 1 ms 340 KB Output is correct
43 Correct 1 ms 468 KB Output is correct
44 Correct 1 ms 336 KB Output is correct
45 Correct 1 ms 340 KB Output is correct
46 Correct 1 ms 336 KB Output is correct
47 Correct 1 ms 340 KB Output is correct
48 Correct 1 ms 340 KB Output is correct
49 Correct 1 ms 340 KB Output is correct
50 Correct 1 ms 340 KB Output is correct

Subtask #6
28.0 / 28.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 340 KB Output is correct
2 Correct 1 ms 332 KB Output is correct
3 Correct 0 ms 340 KB Output is correct
4 Correct 1 ms 340 KB Output is correct
5 Correct 1 ms 324 KB Output is correct
6 Correct 1 ms 340 KB Output is correct
7 Correct 1 ms 340 KB Output is correct
8 Correct 1 ms 328 KB Output is correct
9 Correct 1 ms 340 KB Output is correct
10 Correct 1 ms 340 KB Output is correct
11 Correct 1 ms 340 KB Output is correct
12 Correct 1 ms 340 KB Output is correct
13 Correct 1 ms 340 KB Output is correct
14 Correct 0 ms 340 KB Output is correct
15 Correct 1 ms 468 KB Output is correct
16 Correct 1 ms 468 KB Output is correct
17 Correct 1 ms 468 KB Output is correct
18 Correct 1 ms 468 KB Output is correct
19 Correct 1 ms 464 KB Output is correct
20 Correct 1 ms 468 KB Output is correct
21 Correct 1 ms 468 KB Output is correct
22 Correct 1 ms 468 KB Output is correct
23 Correct 1 ms 468 KB Output is correct
24 Correct 1 ms 468 KB Output is correct
25 Correct 1 ms 468 KB Output is correct
26 Correct 1 ms 468 KB Output is correct
27 Correct 1 ms 468 KB Output is correct
28 Correct 1 ms 464 KB Output is correct
29 Correct 1 ms 468 KB Output is correct
30 Correct 190 ms 82060 KB Output is correct
31 Correct 191 ms 83780 KB Output is correct
32 Correct 139 ms 79680 KB Output is correct
33 Correct 187 ms 83608 KB Output is correct
34 Correct 188 ms 84168 KB Output is correct
35 Correct 184 ms 83624 KB Output is correct
36 Correct 179 ms 82604 KB Output is correct
37 Correct 265 ms 86692 KB Output is correct
38 Correct 195 ms 85028 KB Output is correct
39 Correct 206 ms 85472 KB Output is correct
40 Correct 221 ms 87540 KB Output is correct
41 Correct 160 ms 81336 KB Output is correct
42 Correct 196 ms 84008 KB Output is correct
43 Correct 206 ms 85500 KB Output is correct
44 Correct 216 ms 87008 KB Output is correct
45 Correct 152 ms 80564 KB Output is correct
46 Correct 117 ms 80412 KB Output is correct
47 Correct 119 ms 80372 KB Output is correct
48 Correct 117 ms 80312 KB Output is correct
49 Correct 123 ms 80332 KB Output is correct
50 Correct 119 ms 80368 KB Output is correct
51 Correct 126 ms 80328 KB Output is correct
52 Correct 125 ms 80320 KB Output is correct
53 Correct 123 ms 80356 KB Output is correct
54 Correct 124 ms 80336 KB Output is correct
55 Correct 1 ms 340 KB Output is correct
56 Correct 1 ms 324 KB Output is correct
57 Correct 1 ms 340 KB Output is correct
58 Correct 1 ms 340 KB Output is correct
59 Correct 1 ms 340 KB Output is correct
60 Correct 1 ms 340 KB Output is correct
61 Correct 1 ms 340 KB Output is correct
62 Correct 1 ms 340 KB Output is correct
63 Correct 1 ms 340 KB Output is correct
64 Correct 1 ms 340 KB Output is correct
65 Correct 1 ms 340 KB Output is correct
66 Correct 1 ms 460 KB Output is correct
67 Correct 1 ms 340 KB Output is correct
68 Correct 1 ms 468 KB Output is correct
69 Correct 1 ms 336 KB Output is correct
70 Correct 1 ms 340 KB Output is correct
71 Correct 1 ms 336 KB Output is correct
72 Correct 1 ms 340 KB Output is correct
73 Correct 1 ms 340 KB Output is correct
74 Correct 1 ms 340 KB Output is correct
75 Correct 1 ms 340 KB Output is correct
76 Correct 105 ms 76788 KB Output is correct
77 Correct 105 ms 76796 KB Output is correct
78 Correct 98 ms 76136 KB Output is correct
79 Correct 97 ms 76364 KB Output is correct
80 Correct 101 ms 77020 KB Output is correct
81 Correct 103 ms 76372 KB Output is correct
82 Correct 100 ms 76236 KB Output is correct
83 Correct 100 ms 76628 KB Output is correct
84 Correct 103 ms 76556 KB Output is correct
85 Correct 99 ms 76748 KB Output is correct
86 Correct 95 ms 76108 KB Output is correct
87 Correct 102 ms 76004 KB Output is correct
88 Correct 97 ms 76368 KB Output is correct
89 Correct 98 ms 76272 KB Output is correct
90 Correct 100 ms 76108 KB Output is correct
91 Correct 94 ms 75920 KB Output is correct
92 Correct 202 ms 85452 KB Output is correct
93 Correct 189 ms 83780 KB Output is correct
94 Correct 99 ms 75600 KB Output is correct
95 Correct 100 ms 77000 KB Output is correct
96 Correct 109 ms 75996 KB Output is correct
97 Correct 98 ms 76248 KB Output is correct
98 Correct 107 ms 76500 KB Output is correct
99 Correct 93 ms 76108 KB Output is correct
100 Correct 95 ms 76236 KB Output is correct