oj.uz

Submission #426929

# Submission time Handle Problem Language Result Execution time Memory
426929 2021-06-14T10:55:52 Z egekabas Discharging (NOI20_discharging) C++14
100 / 100
 216 ms 34356 KB 
#include <bits/stdc++.h>
#define all(x) (x).begin(), (x).end()
#define ff first
#define ss second
#define pb push_back
#define mp make_pair
using namespace std;
typedef long long ll;
typedef unsigned long long ull;
typedef long double ld;
typedef pair<ll, ll> pll;
typedef pair<ull, ull> pull;
typedef pair<int, int> pii;
typedef pair<ld, ld> pld;
ll n, a[1000009];
struct line{
    ll a, b;
    ll get(ll x){
        return a*x+b;
    }
};
ld inter(line x, line y){
    return ld(y.b-x.b)/ld(x.a-y.a);
}
vector<line> vec;
void add(line x){
    while(vec.size() >= 2){
        if(inter(vec[vec.size()-2], x) <= inter(vec[vec.size()-2], vec.back()))
            vec.pop_back();
        else
            break;
    }
    vec.pb(x);
}
ll get(ll lim, ll x){
    ll l = 0, r = vec.size()-1;
    while(l < r){
        ll m = (l+r)/2;
        if(-vec[m].a < lim || vec[m+1].get(x) < vec[m].get(x))
            l = m+1;
        else
            r = m;
    }
    return vec[l].get(x);
}
int main() {
    ios_base::sync_with_stdio(false);
    cin.tie(nullptr);
    
    //freopen("in.txt", "r", stdin);
    //freopen("out.txt", "w", stdout);

    cin >> n;
    for(ll i = 1; i <= n; ++i)
        cin >> a[i];
    a[0] = -1;
    add({0, 0});
    vector<pll> bigs;
    bigs.pb({0, 0});
    for(ll i = 1; i <= n; ++i){
        while(bigs.size() && a[bigs.back().ff] <= a[i]){
            bigs.pop_back();
        }
        ll lim = 0;
        ll dp = 1e18;
        if(bigs.size()){
            lim = bigs.back().ff;
            dp = bigs.back().ss;
        }
        
        dp = min(get(lim, a[i])+a[i]*n, dp);
        add({-i, dp});
        bigs.pb({i, dp});
    }
    cout << bigs.back().ss << '\n';
}

Subtask #1
9.0 / 9.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 204 KB Output is correct
2 Correct 1 ms 204 KB Output is correct
3 Correct 1 ms 204 KB Output is correct
4 Correct 1 ms 204 KB Output is correct
5 Correct 1 ms 204 KB Output is correct
6 Correct 1 ms 204 KB Output is correct
7 Correct 1 ms 204 KB Output is correct
8 Correct 1 ms 204 KB Output is correct
9 Correct 1 ms 204 KB Output is correct
10 Correct 1 ms 204 KB Output is correct
11 Correct 1 ms 204 KB Output is correct
12 Correct 1 ms 204 KB Output is correct
13 Correct 1 ms 204 KB Output is correct
14 Correct 1 ms 324 KB Output is correct

Subtask #2
13.0 / 13.0

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

Subtask #3
25.0 / 25.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 332 KB Output is correct
2 Correct 1 ms 332 KB Output is correct
3 Correct 1 ms 332 KB Output is correct
4 Correct 1 ms 332 KB Output is correct
5 Correct 1 ms 332 KB Output is correct
6 Correct 1 ms 328 KB Output is correct
7 Correct 1 ms 332 KB Output is correct
8 Correct 1 ms 332 KB Output is correct
9 Correct 1 ms 332 KB Output is correct
10 Correct 2 ms 332 KB Output is correct
11 Correct 1 ms 332 KB Output is correct
12 Correct 1 ms 332 KB Output is correct
13 Correct 1 ms 340 KB Output is correct
14 Correct 1 ms 332 KB Output is correct
15 Correct 1 ms 332 KB Output is correct
16 Correct 153 ms 13180 KB Output is correct
17 Correct 168 ms 13984 KB Output is correct
18 Correct 144 ms 12448 KB Output is correct
19 Correct 171 ms 13840 KB Output is correct
20 Correct 159 ms 13764 KB Output is correct
21 Correct 167 ms 13884 KB Output is correct
22 Correct 157 ms 13472 KB Output is correct
23 Correct 183 ms 14500 KB Output is correct
24 Correct 174 ms 14000 KB Output is correct
25 Correct 167 ms 14384 KB Output is correct
26 Correct 182 ms 14656 KB Output is correct
27 Correct 149 ms 13172 KB Output is correct
28 Correct 174 ms 13960 KB Output is correct
29 Correct 216 ms 14176 KB Output is correct
30 Correct 185 ms 14536 KB Output is correct

Subtask #4
11.0 / 11.0

# Verdict Execution time Memory Grader output
1 Correct 176 ms 34356 KB Output is correct
2 Correct 195 ms 34344 KB Output is correct
3 Correct 215 ms 34352 KB Output is correct
4 Correct 170 ms 34304 KB Output is correct
5 Correct 169 ms 34352 KB Output is correct
6 Correct 176 ms 34332 KB Output is correct
7 Correct 189 ms 34352 KB Output is correct
8 Correct 177 ms 34332 KB Output is correct
9 Correct 181 ms 34348 KB Output is correct
10 Correct 180 ms 34308 KB Output is correct

Subtask #5
14.0 / 14.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 204 KB Output is correct
2 Correct 1 ms 204 KB Output is correct
3 Correct 1 ms 204 KB Output is correct
4 Correct 1 ms 204 KB Output is correct
5 Correct 1 ms 204 KB Output is correct
6 Correct 1 ms 204 KB Output is correct
7 Correct 1 ms 204 KB Output is correct
8 Correct 1 ms 204 KB Output is correct
9 Correct 1 ms 204 KB Output is correct
10 Correct 1 ms 204 KB Output is correct
11 Correct 1 ms 204 KB Output is correct
12 Correct 1 ms 204 KB Output is correct
13 Correct 1 ms 204 KB Output is correct
14 Correct 1 ms 324 KB Output is correct
15 Correct 1 ms 332 KB Output is correct
16 Correct 1 ms 332 KB Output is correct
17 Correct 1 ms 332 KB Output is correct
18 Correct 1 ms 332 KB Output is correct
19 Correct 1 ms 332 KB Output is correct
20 Correct 1 ms 328 KB Output is correct
21 Correct 1 ms 332 KB Output is correct
22 Correct 1 ms 332 KB Output is correct
23 Correct 1 ms 332 KB Output is correct
24 Correct 2 ms 332 KB Output is correct
25 Correct 1 ms 332 KB Output is correct
26 Correct 1 ms 332 KB Output is correct
27 Correct 1 ms 340 KB Output is correct
28 Correct 1 ms 332 KB Output is correct
29 Correct 1 ms 332 KB Output is correct
30 Correct 1 ms 236 KB Output is correct
31 Correct 1 ms 332 KB Output is correct
32 Correct 1 ms 332 KB Output is correct
33 Correct 1 ms 332 KB Output is correct
34 Correct 1 ms 332 KB Output is correct
35 Correct 1 ms 332 KB Output is correct
36 Correct 1 ms 332 KB Output is correct
37 Correct 1 ms 332 KB Output is correct
38 Correct 1 ms 324 KB Output is correct
39 Correct 1 ms 384 KB Output is correct
40 Correct 1 ms 332 KB Output is correct
41 Correct 1 ms 332 KB Output is correct
42 Correct 1 ms 332 KB Output is correct
43 Correct 1 ms 332 KB Output is correct
44 Correct 1 ms 332 KB Output is correct
45 Correct 1 ms 332 KB Output is correct
46 Correct 1 ms 332 KB Output is correct
47 Correct 1 ms 332 KB Output is correct
48 Correct 1 ms 332 KB Output is correct
49 Correct 1 ms 332 KB Output is correct
50 Correct 1 ms 332 KB Output is correct

Subtask #6
28.0 / 28.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 204 KB Output is correct
2 Correct 1 ms 204 KB Output is correct
3 Correct 1 ms 204 KB Output is correct
4 Correct 1 ms 204 KB Output is correct
5 Correct 1 ms 204 KB Output is correct
6 Correct 1 ms 204 KB Output is correct
7 Correct 1 ms 204 KB Output is correct
8 Correct 1 ms 204 KB Output is correct
9 Correct 1 ms 204 KB Output is correct
10 Correct 1 ms 204 KB Output is correct
11 Correct 1 ms 204 KB Output is correct
12 Correct 1 ms 204 KB Output is correct
13 Correct 1 ms 204 KB Output is correct
14 Correct 1 ms 324 KB Output is correct
15 Correct 1 ms 332 KB Output is correct
16 Correct 1 ms 332 KB Output is correct
17 Correct 1 ms 332 KB Output is correct
18 Correct 1 ms 332 KB Output is correct
19 Correct 1 ms 332 KB Output is correct
20 Correct 1 ms 328 KB Output is correct
21 Correct 1 ms 332 KB Output is correct
22 Correct 1 ms 332 KB Output is correct
23 Correct 1 ms 332 KB Output is correct
24 Correct 2 ms 332 KB Output is correct
25 Correct 1 ms 332 KB Output is correct
26 Correct 1 ms 332 KB Output is correct
27 Correct 1 ms 340 KB Output is correct
28 Correct 1 ms 332 KB Output is correct
29 Correct 1 ms 332 KB Output is correct
30 Correct 153 ms 13180 KB Output is correct
31 Correct 168 ms 13984 KB Output is correct
32 Correct 144 ms 12448 KB Output is correct
33 Correct 171 ms 13840 KB Output is correct
34 Correct 159 ms 13764 KB Output is correct
35 Correct 167 ms 13884 KB Output is correct
36 Correct 157 ms 13472 KB Output is correct
37 Correct 183 ms 14500 KB Output is correct
38 Correct 174 ms 14000 KB Output is correct
39 Correct 167 ms 14384 KB Output is correct
40 Correct 182 ms 14656 KB Output is correct
41 Correct 149 ms 13172 KB Output is correct
42 Correct 174 ms 13960 KB Output is correct
43 Correct 216 ms 14176 KB Output is correct
44 Correct 185 ms 14536 KB Output is correct
45 Correct 176 ms 34356 KB Output is correct
46 Correct 195 ms 34344 KB Output is correct
47 Correct 215 ms 34352 KB Output is correct
48 Correct 170 ms 34304 KB Output is correct
49 Correct 169 ms 34352 KB Output is correct
50 Correct 176 ms 34332 KB Output is correct
51 Correct 189 ms 34352 KB Output is correct
52 Correct 177 ms 34332 KB Output is correct
53 Correct 181 ms 34348 KB Output is correct
54 Correct 180 ms 34308 KB Output is correct
55 Correct 1 ms 236 KB Output is correct
56 Correct 1 ms 332 KB Output is correct
57 Correct 1 ms 332 KB Output is correct
58 Correct 1 ms 332 KB Output is correct
59 Correct 1 ms 332 KB Output is correct
60 Correct 1 ms 332 KB Output is correct
61 Correct 1 ms 332 KB Output is correct
62 Correct 1 ms 332 KB Output is correct
63 Correct 1 ms 324 KB Output is correct
64 Correct 1 ms 384 KB Output is correct
65 Correct 1 ms 332 KB Output is correct
66 Correct 1 ms 332 KB Output is correct
67 Correct 1 ms 332 KB Output is correct
68 Correct 1 ms 332 KB Output is correct
69 Correct 1 ms 332 KB Output is correct
70 Correct 1 ms 332 KB Output is correct
71 Correct 1 ms 332 KB Output is correct
72 Correct 1 ms 332 KB Output is correct
73 Correct 1 ms 332 KB Output is correct
74 Correct 1 ms 332 KB Output is correct
75 Correct 1 ms 332 KB Output is correct
76 Correct 164 ms 14128 KB Output is correct
77 Correct 164 ms 14088 KB Output is correct
78 Correct 152 ms 13552 KB Output is correct
79 Correct 151 ms 13768 KB Output is correct
80 Correct 167 ms 14384 KB Output is correct
81 Correct 147 ms 13604 KB Output is correct
82 Correct 156 ms 13548 KB Output is correct
83 Correct 171 ms 13964 KB Output is correct
84 Correct 156 ms 13920 KB Output is correct
85 Correct 165 ms 14148 KB Output is correct
86 Correct 149 ms 13512 KB Output is correct
87 Correct 148 ms 13380 KB Output is correct
88 Correct 162 ms 13844 KB Output is correct
89 Correct 162 ms 13648 KB Output is correct
90 Correct 182 ms 13580 KB Output is correct
91 Correct 153 ms 13308 KB Output is correct
92 Correct 181 ms 14648 KB Output is correct
93 Correct 174 ms 13860 KB Output is correct
94 Correct 148 ms 13048 KB Output is correct
95 Correct 167 ms 14496 KB Output is correct
96 Correct 151 ms 13372 KB Output is correct
97 Correct 183 ms 13672 KB Output is correct
98 Correct 168 ms 13800 KB Output is correct
99 Correct 149 ms 13560 KB Output is correct
100 Correct 148 ms 13544 KB Output is correct