oj.uz

Submission #697503

# Submission time Handle Problem Language Result Execution time Memory
697503 2023-02-10T07:00:57 Z LeVanThuc Discharging (NOI20_discharging) C++17
100 / 100
 175 ms 30260 KB 
#include<bits/stdc++.h>
using namespace std;
#define ll long long
#define fi first
#define se second
#define p(x,y) pair<ll,ll>(x,y)
#define BIT(i,x) ((x>>i)&1)
#define MASK(x) (1<<x)
#define ld long double
#define __builtin_popcount __builtin_popcountll
#define pll pair<ll,ll>
template<class T1,class T2>
bool maximize(T1 &x,const T2 &y)
{
    if(x<y)
    {
        x=y;
        return 1;
    }
    return 0;
}
template<class T1,class T2>
bool minimize(T1 &x,const T2 &y)
{
    if(x>y)
    {
        x=y;
        return 1;
    }
    return 0;
}
void online()
{
    std::ios_base::sync_with_stdio(0);
    cin.tie(0);
}
struct plane
{
    struct line
    {
        ll m,c;
        line(ll _m=0,ll _c=0)
        {
            this->m = _m;
            this->c = _c;
        }
        ll intersect(line &other)
        {
            return (this->c - other.c + other.m - this->m +1) / (other.m - this->m);
        }
        ll vl(ll x)
        {
            return this->m * x + this->c;
        }
    };

    deque<pair<line,ll>> dq;
    void insert(ll m,ll c)
    {
        line nex(m,c);
        if(this->dq.empty())
        {
            this->dq.push_back(pair<line,ll>(nex,0));
            return;
        }
        while(!this->dq.empty())
        {
            line pre=this->dq.back().fi;
            ll x=this->dq.back().se;
            if(nex.m==pre.m)
            {
                if(nex.c>pre.c) return;
            }
            else if(nex.intersect(pre)>x) break;
            this->dq.pop_back();

        }
        if(this->dq.empty())
        {
            this->dq.push_back(pair<line,ll>(nex,0));
            return;
        }
        dq.push_back(pair<line,ll>(nex,nex.intersect(dq.back().fi)));
    }

    ll query(ll x)
    {
        ll m = this->dq.size();
        while(m > 1 && dq[1].se <= x)
        {
            this->dq.pop_front();
            m--;
        }
        return this->dq.front().fi.vl(x);
    }

};
const ll N=1e6+10;
ll n,k;
ll ar[N],f[N],seg[N];
int main()
{
    online();
    cin>>n;
    for(int i=1;i<=n;i++)
    {
        cin>>ar[i];
    }
    seg[1]=1;
    for(int i=2;i<=n;i++)
    {
        if(ar[i]>ar[seg[i-1]]) seg[i]=i;
        else seg[i]=seg[i-1];
    }
    plane P;
    for(int i=1;i<=n;i++)
    {
        P.insert(n-i+1,f[i-1]);
        f[i]=P.query(ar[seg[i]]);
    }
    cout<<f[n];
}

Subtask #1
9.0 / 9.0

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

Subtask #2
13.0 / 13.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 340 KB Output is correct
2 Correct 1 ms 340 KB Output is correct
3 Correct 1 ms 340 KB Output is correct
4 Correct 1 ms 340 KB Output is correct
5 Correct 0 ms 340 KB Output is correct
6 Correct 0 ms 340 KB Output is correct
7 Correct 1 ms 340 KB Output is correct
8 Correct 0 ms 340 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 0 ms 340 KB Output is correct
13 Correct 1 ms 340 KB Output is correct
14 Correct 1 ms 340 KB Output is correct
15 Correct 1 ms 340 KB Output is correct

Subtask #3
25.0 / 25.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 340 KB Output is correct
2 Correct 1 ms 340 KB Output is correct
3 Correct 1 ms 340 KB Output is correct
4 Correct 1 ms 340 KB Output is correct
5 Correct 0 ms 340 KB Output is correct
6 Correct 0 ms 340 KB Output is correct
7 Correct 1 ms 340 KB Output is correct
8 Correct 0 ms 340 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 0 ms 340 KB Output is correct
13 Correct 1 ms 340 KB Output is correct
14 Correct 1 ms 340 KB Output is correct
15 Correct 1 ms 340 KB Output is correct
16 Correct 94 ms 23748 KB Output is correct
17 Correct 99 ms 23720 KB Output is correct
18 Correct 105 ms 23716 KB Output is correct
19 Correct 105 ms 23884 KB Output is correct
20 Correct 98 ms 23696 KB Output is correct
21 Correct 98 ms 23708 KB Output is correct
22 Correct 96 ms 23780 KB Output is correct
23 Correct 105 ms 23736 KB Output is correct
24 Correct 106 ms 23740 KB Output is correct
25 Correct 106 ms 23756 KB Output is correct
26 Correct 110 ms 23808 KB Output is correct
27 Correct 94 ms 23688 KB Output is correct
28 Correct 106 ms 23724 KB Output is correct
29 Correct 111 ms 23772 KB Output is correct
30 Correct 102 ms 23728 KB Output is correct

Subtask #4
11.0 / 11.0

# Verdict Execution time Memory Grader output
1 Correct 118 ms 23732 KB Output is correct
2 Correct 123 ms 23712 KB Output is correct
3 Correct 134 ms 23868 KB Output is correct
4 Correct 124 ms 23692 KB Output is correct
5 Correct 175 ms 23756 KB Output is correct
6 Correct 118 ms 23756 KB Output is correct
7 Correct 120 ms 23884 KB Output is correct
8 Correct 117 ms 23728 KB Output is correct
9 Correct 118 ms 23684 KB Output is correct
10 Correct 119 ms 23680 KB Output is correct

Subtask #5
14.0 / 14.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 340 KB Output is correct
2 Correct 0 ms 340 KB Output is correct
3 Correct 0 ms 340 KB Output is correct
4 Correct 0 ms 340 KB Output is correct
5 Correct 1 ms 340 KB Output is correct
6 Correct 0 ms 340 KB Output is correct
7 Correct 1 ms 340 KB Output is correct
8 Correct 0 ms 340 KB Output is correct
9 Correct 1 ms 340 KB Output is correct
10 Correct 0 ms 340 KB Output is correct
11 Correct 0 ms 340 KB Output is correct
12 Correct 1 ms 340 KB Output is correct
13 Correct 0 ms 340 KB Output is correct
14 Correct 1 ms 340 KB Output is correct
15 Correct 1 ms 340 KB Output is correct
16 Correct 1 ms 340 KB Output is correct
17 Correct 1 ms 340 KB Output is correct
18 Correct 1 ms 340 KB Output is correct
19 Correct 0 ms 340 KB Output is correct
20 Correct 0 ms 340 KB Output is correct
21 Correct 1 ms 340 KB Output is correct
22 Correct 0 ms 340 KB Output is correct
23 Correct 1 ms 340 KB Output is correct
24 Correct 1 ms 340 KB Output is correct
25 Correct 1 ms 340 KB Output is correct
26 Correct 0 ms 340 KB Output is correct
27 Correct 1 ms 340 KB Output is correct
28 Correct 1 ms 340 KB Output is correct
29 Correct 1 ms 340 KB Output is correct
30 Correct 1 ms 340 KB Output is correct
31 Correct 0 ms 340 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 0 ms 340 KB Output is correct
36 Correct 0 ms 340 KB Output is correct
37 Correct 1 ms 340 KB Output is correct
38 Correct 0 ms 340 KB Output is correct
39 Correct 0 ms 340 KB Output is correct
40 Correct 0 ms 340 KB Output is correct
41 Correct 1 ms 340 KB Output is correct
42 Correct 1 ms 340 KB Output is correct
43 Correct 1 ms 340 KB Output is correct
44 Correct 0 ms 340 KB Output is correct
45 Correct 0 ms 340 KB Output is correct
46 Correct 1 ms 340 KB Output is correct
47 Correct 1 ms 340 KB Output is correct
48 Correct 0 ms 340 KB Output is correct
49 Correct 0 ms 284 KB Output is correct
50 Correct 0 ms 340 KB Output is correct

Subtask #6
28.0 / 28.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 340 KB Output is correct
2 Correct 0 ms 340 KB Output is correct
3 Correct 0 ms 340 KB Output is correct
4 Correct 0 ms 340 KB Output is correct
5 Correct 1 ms 340 KB Output is correct
6 Correct 0 ms 340 KB Output is correct
7 Correct 1 ms 340 KB Output is correct
8 Correct 0 ms 340 KB Output is correct
9 Correct 1 ms 340 KB Output is correct
10 Correct 0 ms 340 KB Output is correct
11 Correct 0 ms 340 KB Output is correct
12 Correct 1 ms 340 KB Output is correct
13 Correct 0 ms 340 KB Output is correct
14 Correct 1 ms 340 KB Output is correct
15 Correct 1 ms 340 KB Output is correct
16 Correct 1 ms 340 KB Output is correct
17 Correct 1 ms 340 KB Output is correct
18 Correct 1 ms 340 KB Output is correct
19 Correct 0 ms 340 KB Output is correct
20 Correct 0 ms 340 KB Output is correct
21 Correct 1 ms 340 KB Output is correct
22 Correct 0 ms 340 KB Output is correct
23 Correct 1 ms 340 KB Output is correct
24 Correct 1 ms 340 KB Output is correct
25 Correct 1 ms 340 KB Output is correct
26 Correct 0 ms 340 KB Output is correct
27 Correct 1 ms 340 KB Output is correct
28 Correct 1 ms 340 KB Output is correct
29 Correct 1 ms 340 KB Output is correct
30 Correct 94 ms 23748 KB Output is correct
31 Correct 99 ms 23720 KB Output is correct
32 Correct 105 ms 23716 KB Output is correct
33 Correct 105 ms 23884 KB Output is correct
34 Correct 98 ms 23696 KB Output is correct
35 Correct 98 ms 23708 KB Output is correct
36 Correct 96 ms 23780 KB Output is correct
37 Correct 105 ms 23736 KB Output is correct
38 Correct 106 ms 23740 KB Output is correct
39 Correct 106 ms 23756 KB Output is correct
40 Correct 110 ms 23808 KB Output is correct
41 Correct 94 ms 23688 KB Output is correct
42 Correct 106 ms 23724 KB Output is correct
43 Correct 111 ms 23772 KB Output is correct
44 Correct 102 ms 23728 KB Output is correct
45 Correct 118 ms 23732 KB Output is correct
46 Correct 123 ms 23712 KB Output is correct
47 Correct 134 ms 23868 KB Output is correct
48 Correct 124 ms 23692 KB Output is correct
49 Correct 175 ms 23756 KB Output is correct
50 Correct 118 ms 23756 KB Output is correct
51 Correct 120 ms 23884 KB Output is correct
52 Correct 117 ms 23728 KB Output is correct
53 Correct 118 ms 23684 KB Output is correct
54 Correct 119 ms 23680 KB Output is correct
55 Correct 1 ms 340 KB Output is correct
56 Correct 0 ms 340 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 0 ms 340 KB Output is correct
61 Correct 0 ms 340 KB Output is correct
62 Correct 1 ms 340 KB Output is correct
63 Correct 0 ms 340 KB Output is correct
64 Correct 0 ms 340 KB Output is correct
65 Correct 0 ms 340 KB Output is correct
66 Correct 1 ms 340 KB Output is correct
67 Correct 1 ms 340 KB Output is correct
68 Correct 1 ms 340 KB Output is correct
69 Correct 0 ms 340 KB Output is correct
70 Correct 0 ms 340 KB Output is correct
71 Correct 1 ms 340 KB Output is correct
72 Correct 1 ms 340 KB Output is correct
73 Correct 0 ms 340 KB Output is correct
74 Correct 0 ms 284 KB Output is correct
75 Correct 0 ms 340 KB Output is correct
76 Correct 102 ms 23660 KB Output is correct
77 Correct 101 ms 23748 KB Output is correct
78 Correct 97 ms 29132 KB Output is correct
79 Correct 98 ms 29476 KB Output is correct
80 Correct 111 ms 30028 KB Output is correct
81 Correct 97 ms 29240 KB Output is correct
82 Correct 108 ms 29200 KB Output is correct
83 Correct 103 ms 29760 KB Output is correct
84 Correct 112 ms 29644 KB Output is correct
85 Correct 109 ms 29832 KB Output is correct
86 Correct 98 ms 29260 KB Output is correct
87 Correct 99 ms 29136 KB Output is correct
88 Correct 98 ms 29512 KB Output is correct
89 Correct 100 ms 29264 KB Output is correct
90 Correct 100 ms 29148 KB Output is correct
91 Correct 94 ms 28920 KB Output is correct
92 Correct 109 ms 30260 KB Output is correct
93 Correct 105 ms 29648 KB Output is correct
94 Correct 103 ms 28680 KB Output is correct
95 Correct 109 ms 30192 KB Output is correct
96 Correct 98 ms 28960 KB Output is correct
97 Correct 104 ms 29388 KB Output is correct
98 Correct 100 ms 29548 KB Output is correct
99 Correct 98 ms 29160 KB Output is correct
100 Correct 97 ms 29228 KB Output is correct