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Submission #267135

# Submission time Handle Problem Language Result Execution time Memory
267135 2020-08-15T21:22:06 Z eohomegrownapps Discharging (NOI20_discharging) C++14
100 / 100
 891 ms 6904 KB 
#include <bits/stdc++.h>
using namespace std;

typedef long long ll;
typedef long double ld;

struct Line{
    ll m, c;
    Line(ll _m, ll _c){
        m=_m;c=_c;
    }

    ll f(ll x){
        return m*x+c;
    }

    ld intersectX(Line l){
        return (1.0*l.c-c)/(m-l.m);
    }
};

deque<Line> hull;

bool isBetter(Line l){
    return (l.intersectX(hull[hull.size()-1])<l.intersectX(hull[hull.size()-2]));
}

void add(Line l){
    if (hull.size()>0&&hull.back().m==l.m){
        if (l.c<hull.back().c){
            hull.pop_back();
            hull.push_back(l);
        }
        return;
    }
    while (hull.size()>1&&isBetter(l)){
        hull.pop_back();
    }
    hull.push_back(l);
}

ll query(ll x){
    while (hull.size()>1&&hull[0].f(x)>hull[1].f(x)){
        hull.pop_front();
    }
    return hull.front().f(x);
}

int main(){
    ll n;
    cin>>n;
    add(Line(n,0));
    ll prev = 0;
    ll ans;
    for (ll i = 1; i<=n; i++){
        ll val;
        cin>>val;
        if (val<prev){
            val=prev;
        }
        /*cout<<"val: "<<val<<'\n';
        for (auto h : hull){
            cout<<h.m<<' '<<h.c<<'\n';
        }*/
        prev=val;
        ans = query(val);
        add(Line{n-i,ans});
        //cout<<ans<<'\n';
    }
    cout<<ans<<'\n';
}

Subtask #1
9.0 / 9.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 256 KB Output is correct
2 Correct 1 ms 256 KB Output is correct
3 Correct 1 ms 256 KB Output is correct
4 Correct 0 ms 256 KB Output is correct
5 Correct 0 ms 256 KB Output is correct
6 Correct 1 ms 256 KB Output is correct
7 Correct 1 ms 256 KB Output is correct
8 Correct 0 ms 256 KB Output is correct
9 Correct 1 ms 256 KB Output is correct
10 Correct 0 ms 256 KB Output is correct
11 Correct 1 ms 256 KB Output is correct
12 Correct 0 ms 256 KB Output is correct
13 Correct 0 ms 256 KB Output is correct
14 Correct 1 ms 256 KB Output is correct

Subtask #2
13.0 / 13.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 256 KB Output is correct
2 Correct 1 ms 256 KB Output is correct
3 Correct 1 ms 256 KB Output is correct
4 Correct 1 ms 256 KB Output is correct
5 Correct 1 ms 384 KB Output is correct
6 Correct 1 ms 256 KB Output is correct
7 Correct 1 ms 256 KB Output is correct
8 Correct 2 ms 256 KB Output is correct
9 Correct 2 ms 256 KB Output is correct
10 Correct 2 ms 256 KB Output is correct
11 Correct 2 ms 256 KB Output is correct
12 Correct 1 ms 256 KB Output is correct
13 Correct 1 ms 256 KB Output is correct
14 Correct 2 ms 256 KB Output is correct
15 Correct 2 ms 256 KB Output is correct

Subtask #3
25.0 / 25.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 256 KB Output is correct
2 Correct 1 ms 256 KB Output is correct
3 Correct 1 ms 256 KB Output is correct
4 Correct 1 ms 256 KB Output is correct
5 Correct 1 ms 384 KB Output is correct
6 Correct 1 ms 256 KB Output is correct
7 Correct 1 ms 256 KB Output is correct
8 Correct 2 ms 256 KB Output is correct
9 Correct 2 ms 256 KB Output is correct
10 Correct 2 ms 256 KB Output is correct
11 Correct 2 ms 256 KB Output is correct
12 Correct 1 ms 256 KB Output is correct
13 Correct 1 ms 256 KB Output is correct
14 Correct 2 ms 256 KB Output is correct
15 Correct 2 ms 256 KB Output is correct
16 Correct 528 ms 256 KB Output is correct
17 Correct 608 ms 256 KB Output is correct
18 Correct 482 ms 504 KB Output is correct
19 Correct 590 ms 380 KB Output is correct
20 Correct 581 ms 376 KB Output is correct
21 Correct 585 ms 376 KB Output is correct
22 Correct 552 ms 376 KB Output is correct
23 Correct 638 ms 360 KB Output is correct
24 Correct 605 ms 256 KB Output is correct
25 Correct 624 ms 380 KB Output is correct
26 Correct 683 ms 256 KB Output is correct
27 Correct 551 ms 256 KB Output is correct
28 Correct 592 ms 256 KB Output is correct
29 Correct 610 ms 376 KB Output is correct
30 Correct 625 ms 256 KB Output is correct

Subtask #4
11.0 / 11.0

# Verdict Execution time Memory Grader output
1 Correct 891 ms 356 KB Output is correct
2 Correct 855 ms 356 KB Output is correct
3 Correct 845 ms 376 KB Output is correct
4 Correct 856 ms 356 KB Output is correct
5 Correct 857 ms 376 KB Output is correct
6 Correct 850 ms 376 KB Output is correct
7 Correct 854 ms 376 KB Output is correct
8 Correct 846 ms 356 KB Output is correct
9 Correct 845 ms 376 KB Output is correct
10 Correct 849 ms 360 KB Output is correct

Subtask #5
14.0 / 14.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 256 KB Output is correct
2 Correct 1 ms 256 KB Output is correct
3 Correct 1 ms 256 KB Output is correct
4 Correct 0 ms 256 KB Output is correct
5 Correct 0 ms 256 KB Output is correct
6 Correct 1 ms 256 KB Output is correct
7 Correct 1 ms 256 KB Output is correct
8 Correct 0 ms 256 KB Output is correct
9 Correct 1 ms 256 KB Output is correct
10 Correct 0 ms 256 KB Output is correct
11 Correct 1 ms 256 KB Output is correct
12 Correct 0 ms 256 KB Output is correct
13 Correct 0 ms 256 KB Output is correct
14 Correct 1 ms 256 KB Output is correct
15 Correct 2 ms 256 KB Output is correct
16 Correct 1 ms 256 KB Output is correct
17 Correct 1 ms 256 KB Output is correct
18 Correct 1 ms 256 KB Output is correct
19 Correct 1 ms 384 KB Output is correct
20 Correct 1 ms 256 KB Output is correct
21 Correct 1 ms 256 KB Output is correct
22 Correct 2 ms 256 KB Output is correct
23 Correct 2 ms 256 KB Output is correct
24 Correct 2 ms 256 KB Output is correct
25 Correct 2 ms 256 KB Output is correct
26 Correct 1 ms 256 KB Output is correct
27 Correct 1 ms 256 KB Output is correct
28 Correct 2 ms 256 KB Output is correct
29 Correct 2 ms 256 KB Output is correct
30 Correct 1 ms 384 KB Output is correct
31 Correct 1 ms 256 KB Output is correct
32 Correct 1 ms 256 KB Output is correct
33 Correct 1 ms 256 KB Output is correct
34 Correct 1 ms 256 KB Output is correct
35 Correct 1 ms 384 KB Output is correct
36 Correct 1 ms 256 KB Output is correct
37 Correct 2 ms 256 KB Output is correct
38 Correct 1 ms 256 KB Output is correct
39 Correct 1 ms 256 KB Output is correct
40 Correct 1 ms 256 KB Output is correct
41 Correct 1 ms 384 KB Output is correct
42 Correct 1 ms 256 KB Output is correct
43 Correct 1 ms 256 KB Output is correct
44 Correct 1 ms 256 KB Output is correct
45 Correct 1 ms 256 KB Output is correct
46 Correct 1 ms 256 KB Output is correct
47 Correct 1 ms 256 KB Output is correct
48 Correct 1 ms 384 KB Output is correct
49 Correct 1 ms 256 KB Output is correct
50 Correct 1 ms 384 KB Output is correct

Subtask #6
28.0 / 28.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 256 KB Output is correct
2 Correct 1 ms 256 KB Output is correct
3 Correct 1 ms 256 KB Output is correct
4 Correct 0 ms 256 KB Output is correct
5 Correct 0 ms 256 KB Output is correct
6 Correct 1 ms 256 KB Output is correct
7 Correct 1 ms 256 KB Output is correct
8 Correct 0 ms 256 KB Output is correct
9 Correct 1 ms 256 KB Output is correct
10 Correct 0 ms 256 KB Output is correct
11 Correct 1 ms 256 KB Output is correct
12 Correct 0 ms 256 KB Output is correct
13 Correct 0 ms 256 KB Output is correct
14 Correct 1 ms 256 KB Output is correct
15 Correct 2 ms 256 KB Output is correct
16 Correct 1 ms 256 KB Output is correct
17 Correct 1 ms 256 KB Output is correct
18 Correct 1 ms 256 KB Output is correct
19 Correct 1 ms 384 KB Output is correct
20 Correct 1 ms 256 KB Output is correct
21 Correct 1 ms 256 KB Output is correct
22 Correct 2 ms 256 KB Output is correct
23 Correct 2 ms 256 KB Output is correct
24 Correct 2 ms 256 KB Output is correct
25 Correct 2 ms 256 KB Output is correct
26 Correct 1 ms 256 KB Output is correct
27 Correct 1 ms 256 KB Output is correct
28 Correct 2 ms 256 KB Output is correct
29 Correct 2 ms 256 KB Output is correct
30 Correct 528 ms 256 KB Output is correct
31 Correct 608 ms 256 KB Output is correct
32 Correct 482 ms 504 KB Output is correct
33 Correct 590 ms 380 KB Output is correct
34 Correct 581 ms 376 KB Output is correct
35 Correct 585 ms 376 KB Output is correct
36 Correct 552 ms 376 KB Output is correct
37 Correct 638 ms 360 KB Output is correct
38 Correct 605 ms 256 KB Output is correct
39 Correct 624 ms 380 KB Output is correct
40 Correct 683 ms 256 KB Output is correct
41 Correct 551 ms 256 KB Output is correct
42 Correct 592 ms 256 KB Output is correct
43 Correct 610 ms 376 KB Output is correct
44 Correct 625 ms 256 KB Output is correct
45 Correct 891 ms 356 KB Output is correct
46 Correct 855 ms 356 KB Output is correct
47 Correct 845 ms 376 KB Output is correct
48 Correct 856 ms 356 KB Output is correct
49 Correct 857 ms 376 KB Output is correct
50 Correct 850 ms 376 KB Output is correct
51 Correct 854 ms 376 KB Output is correct
52 Correct 846 ms 356 KB Output is correct
53 Correct 845 ms 376 KB Output is correct
54 Correct 849 ms 360 KB Output is correct
55 Correct 1 ms 384 KB Output is correct
56 Correct 1 ms 256 KB Output is correct
57 Correct 1 ms 256 KB Output is correct
58 Correct 1 ms 256 KB Output is correct
59 Correct 1 ms 256 KB Output is correct
60 Correct 1 ms 384 KB Output is correct
61 Correct 1 ms 256 KB Output is correct
62 Correct 2 ms 256 KB Output is correct
63 Correct 1 ms 256 KB Output is correct
64 Correct 1 ms 256 KB Output is correct
65 Correct 1 ms 256 KB Output is correct
66 Correct 1 ms 384 KB Output is correct
67 Correct 1 ms 256 KB Output is correct
68 Correct 1 ms 256 KB Output is correct
69 Correct 1 ms 256 KB Output is correct
70 Correct 1 ms 256 KB Output is correct
71 Correct 1 ms 256 KB Output is correct
72 Correct 1 ms 256 KB Output is correct
73 Correct 1 ms 384 KB Output is correct
74 Correct 1 ms 256 KB Output is correct
75 Correct 1 ms 384 KB Output is correct
76 Correct 609 ms 6520 KB Output is correct
77 Correct 598 ms 6376 KB Output is correct
78 Correct 558 ms 6008 KB Output is correct
79 Correct 579 ms 6124 KB Output is correct
80 Correct 622 ms 6904 KB Output is correct
81 Correct 559 ms 5880 KB Output is correct
82 Correct 555 ms 5880 KB Output is correct
83 Correct 588 ms 6264 KB Output is correct
84 Correct 582 ms 6132 KB Output is correct
85 Correct 624 ms 6420 KB Output is correct
86 Correct 558 ms 5896 KB Output is correct
87 Correct 552 ms 5752 KB Output is correct
88 Correct 581 ms 6040 KB Output is correct
89 Correct 570 ms 5988 KB Output is correct
90 Correct 569 ms 5736 KB Output is correct
91 Correct 533 ms 5624 KB Output is correct
92 Correct 656 ms 6888 KB Output is correct
93 Correct 616 ms 6136 KB Output is correct
94 Correct 518 ms 5240 KB Output is correct
95 Correct 617 ms 6632 KB Output is correct
96 Correct 563 ms 5608 KB Output is correct
97 Correct 564 ms 6136 KB Output is correct
98 Correct 574 ms 6248 KB Output is correct
99 Correct 560 ms 5752 KB Output is correct
100 Correct 557 ms 5896 KB Output is correct