oj.uz

Submission #949759

# Submission time Handle Problem Language Result Execution time Memory
949759 2024-03-19T16:03:09 Z steveonalex Discharging (NOI20_discharging) C++14
100 / 100
 87 ms 22612 KB 
#include <bits/stdc++.h>
using namespace std;
 
typedef long long ll;
typedef unsigned long long ull;
 
#define MASK(i) (1ULL << (i))
#define GETBIT(mask, i) (((mask) >> (i)) & 1)
#define ALL(v) (v).begin(), (v).end()
 
ll max(ll a, ll b){return (a > b) ? a : b;}
ll min(ll a, ll b){return (a < b) ? a : b;}
 
ll LASTBIT(ll mask){return (mask) & (-mask);}
int pop_cnt(ll mask){return __builtin_popcountll(mask);}
int ctz(ull mask){return __builtin_ctzll(mask);}
int logOf(ull mask){return 63 - __builtin_clzll(mask);}
 
// mt19937_64 rng(chrono::high_resolution_clock::now().time_since_epoch().count());
mt19937_64 rng(69);
ll rngesus(ll l, ll r){return l + (ull) rng() % (r - l + 1);}
 
template <class T1, class T2>
    bool maximize(T1 &a, T2 b){
        if (a < b) {a = b; return true;}
        return false;
    }
 
template <class T1, class T2>
    bool minimize(T1 &a, T2 b){
        if (a > b) {a = b; return true;}
        return false;
    }
 
template <class T>
    void printArr(T& container, string separator = " ", string finish = "\n", ostream &out = cout){
        for(auto item: container) out << item << separator;
        out << finish;
    }
 
template <class T>
    void remove_dup(vector<T> &a){
        sort(ALL(a));
        a.resize(unique(ALL(a)) - a.begin());
    }

const int N = 1e6 + 69;
const ll INF = 1e18 + 69;
int n;
ll a[N];
ll dp[N];

namespace Sub2{
    void solve(){
        reverse(a + 1, a + n + 1);
        memset(dp, 63, sizeof dp);
        dp[0] = 0;
        for(int i = 1; i<=n; ++i){
            ll ma = 0;
            for(int j = i; j>=1; --j){
                maximize(ma, a[j]);
                minimize(dp[i], dp[j-1] + 1LL * ma * i);
            }
        }

        cout << dp[n] << "\n";
        exit(0);
    }
}
namespace Sub4{
    bool check(){
        for(int i = 1; i<n; ++i) if (a[i] < a[i+1]) return false;
        return true;
    }

    void solve(){
        cout << a[1] * n << "\n";
        exit(0);
    }
}

namespace Sub6{
    struct CHT{
        #define Line pair<ll, ll>

        vector<Line> a;
        vector<double> bubble;

        CHT(){
        }

        double get_intersection(Line a, Line b){
            return (double) (b.second - a.second) / (a.first - b.first);
        }

        void add(Line f){
            if (a.size() && a.back().first == f.first) return;
            if (a.empty()) {a.push_back(f); return;}
            while(bubble.size()){
                double x = bubble.back(), y = get_intersection(a.back(), f);
                if (x >= y){
                    a.pop_back(); bubble.pop_back();
                }
                else break;
            }
            bubble.push_back(get_intersection(a.back(), f));
            a.push_back(f);
        }

        ll get(ll x){
            int idx = lower_bound(ALL(bubble), x) - bubble.begin();
            return a[idx].first * x + a[idx].second;
        }
    };

    void solve(){
        reverse(a + 1, a + n + 1);
        CHT hull_min;
        memset(dp, 63, sizeof dp);
        dp[0] = 0;
        for(int i = n-1; i>=1; --i) maximize(a[i], a[i+1]);
        for(int i = 1; i<=n; ++i){
            hull_min.add(make_pair(a[i], dp[i-1]));
            dp[i] = hull_min.get(i);
        }

        cout << dp[n] << "\n";

        exit(0);
    }
}

int main(void){
    ios::sync_with_stdio(0); cin.tie(0); cout.tie(0);

    cin >> n;
    for(int i= 1; i<=n; ++i) cin >> a[i];

    Sub6::solve();

    return 0;
}

Subtask #1
9.0 / 9.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 8796 KB Output is correct
2 Correct 2 ms 8796 KB Output is correct
3 Correct 2 ms 8796 KB Output is correct
4 Correct 2 ms 8796 KB Output is correct
5 Correct 2 ms 9048 KB Output is correct
6 Correct 2 ms 8796 KB Output is correct
7 Correct 2 ms 8796 KB Output is correct
8 Correct 2 ms 8796 KB Output is correct
9 Correct 2 ms 8796 KB Output is correct
10 Correct 2 ms 8792 KB Output is correct
11 Correct 2 ms 8796 KB Output is correct
12 Correct 2 ms 8796 KB Output is correct
13 Correct 2 ms 8796 KB Output is correct
14 Correct 1 ms 8796 KB Output is correct

Subtask #2
13.0 / 13.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 8796 KB Output is correct
2 Correct 2 ms 8796 KB Output is correct
3 Correct 2 ms 8796 KB Output is correct
4 Correct 3 ms 8796 KB Output is correct
5 Correct 2 ms 8796 KB Output is correct
6 Correct 2 ms 8796 KB Output is correct
7 Correct 2 ms 8796 KB Output is correct
8 Correct 2 ms 8796 KB Output is correct
9 Correct 3 ms 8796 KB Output is correct
10 Correct 2 ms 8792 KB Output is correct
11 Correct 2 ms 8796 KB Output is correct
12 Correct 2 ms 8620 KB Output is correct
13 Correct 2 ms 8796 KB Output is correct
14 Correct 3 ms 8796 KB Output is correct
15 Correct 2 ms 8796 KB Output is correct

Subtask #3
25.0 / 25.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 8796 KB Output is correct
2 Correct 2 ms 8796 KB Output is correct
3 Correct 2 ms 8796 KB Output is correct
4 Correct 3 ms 8796 KB Output is correct
5 Correct 2 ms 8796 KB Output is correct
6 Correct 2 ms 8796 KB Output is correct
7 Correct 2 ms 8796 KB Output is correct
8 Correct 2 ms 8796 KB Output is correct
9 Correct 3 ms 8796 KB Output is correct
10 Correct 2 ms 8792 KB Output is correct
11 Correct 2 ms 8796 KB Output is correct
12 Correct 2 ms 8620 KB Output is correct
13 Correct 2 ms 8796 KB Output is correct
14 Correct 3 ms 8796 KB Output is correct
15 Correct 2 ms 8796 KB Output is correct
16 Correct 70 ms 15956 KB Output is correct
17 Correct 73 ms 15940 KB Output is correct
18 Correct 73 ms 15896 KB Output is correct
19 Correct 86 ms 16080 KB Output is correct
20 Correct 84 ms 16324 KB Output is correct
21 Correct 73 ms 16084 KB Output is correct
22 Correct 69 ms 15956 KB Output is correct
23 Correct 80 ms 16088 KB Output is correct
24 Correct 81 ms 15952 KB Output is correct
25 Correct 81 ms 16220 KB Output is correct
26 Correct 80 ms 15956 KB Output is correct
27 Correct 66 ms 16076 KB Output is correct
28 Correct 73 ms 15952 KB Output is correct
29 Correct 79 ms 16072 KB Output is correct
30 Correct 87 ms 16096 KB Output is correct

Subtask #4
11.0 / 11.0

# Verdict Execution time Memory Grader output
1 Correct 81 ms 16076 KB Output is correct
2 Correct 81 ms 16168 KB Output is correct
3 Correct 78 ms 15956 KB Output is correct
4 Correct 84 ms 16160 KB Output is correct
5 Correct 78 ms 16080 KB Output is correct
6 Correct 78 ms 15952 KB Output is correct
7 Correct 78 ms 16076 KB Output is correct
8 Correct 78 ms 15956 KB Output is correct
9 Correct 85 ms 16084 KB Output is correct
10 Correct 79 ms 15956 KB Output is correct

Subtask #5
14.0 / 14.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 8796 KB Output is correct
2 Correct 2 ms 8796 KB Output is correct
3 Correct 2 ms 8796 KB Output is correct
4 Correct 2 ms 8796 KB Output is correct
5 Correct 2 ms 9048 KB Output is correct
6 Correct 2 ms 8796 KB Output is correct
7 Correct 2 ms 8796 KB Output is correct
8 Correct 2 ms 8796 KB Output is correct
9 Correct 2 ms 8796 KB Output is correct
10 Correct 2 ms 8792 KB Output is correct
11 Correct 2 ms 8796 KB Output is correct
12 Correct 2 ms 8796 KB Output is correct
13 Correct 2 ms 8796 KB Output is correct
14 Correct 1 ms 8796 KB Output is correct
15 Correct 2 ms 8796 KB Output is correct
16 Correct 2 ms 8796 KB Output is correct
17 Correct 2 ms 8796 KB Output is correct
18 Correct 3 ms 8796 KB Output is correct
19 Correct 2 ms 8796 KB Output is correct
20 Correct 2 ms 8796 KB Output is correct
21 Correct 2 ms 8796 KB Output is correct
22 Correct 2 ms 8796 KB Output is correct
23 Correct 3 ms 8796 KB Output is correct
24 Correct 2 ms 8792 KB Output is correct
25 Correct 2 ms 8796 KB Output is correct
26 Correct 2 ms 8620 KB Output is correct
27 Correct 2 ms 8796 KB Output is correct
28 Correct 3 ms 8796 KB Output is correct
29 Correct 2 ms 8796 KB Output is correct
30 Correct 2 ms 8796 KB Output is correct
31 Correct 2 ms 8796 KB Output is correct
32 Correct 1 ms 8796 KB Output is correct
33 Correct 2 ms 8796 KB Output is correct
34 Correct 2 ms 8796 KB Output is correct
35 Correct 2 ms 8796 KB Output is correct
36 Correct 2 ms 8796 KB Output is correct
37 Correct 2 ms 8796 KB Output is correct
38 Correct 1 ms 8796 KB Output is correct
39 Correct 2 ms 8796 KB Output is correct
40 Correct 2 ms 8796 KB Output is correct
41 Correct 1 ms 8796 KB Output is correct
42 Correct 2 ms 8796 KB Output is correct
43 Correct 3 ms 8796 KB Output is correct
44 Correct 2 ms 8852 KB Output is correct
45 Correct 2 ms 8796 KB Output is correct
46 Correct 2 ms 8796 KB Output is correct
47 Correct 1 ms 8796 KB Output is correct
48 Correct 2 ms 8796 KB Output is correct
49 Correct 2 ms 8776 KB Output is correct
50 Correct 1 ms 8796 KB Output is correct

Subtask #6
28.0 / 28.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 8796 KB Output is correct
2 Correct 2 ms 8796 KB Output is correct
3 Correct 2 ms 8796 KB Output is correct
4 Correct 2 ms 8796 KB Output is correct
5 Correct 2 ms 9048 KB Output is correct
6 Correct 2 ms 8796 KB Output is correct
7 Correct 2 ms 8796 KB Output is correct
8 Correct 2 ms 8796 KB Output is correct
9 Correct 2 ms 8796 KB Output is correct
10 Correct 2 ms 8792 KB Output is correct
11 Correct 2 ms 8796 KB Output is correct
12 Correct 2 ms 8796 KB Output is correct
13 Correct 2 ms 8796 KB Output is correct
14 Correct 1 ms 8796 KB Output is correct
15 Correct 2 ms 8796 KB Output is correct
16 Correct 2 ms 8796 KB Output is correct
17 Correct 2 ms 8796 KB Output is correct
18 Correct 3 ms 8796 KB Output is correct
19 Correct 2 ms 8796 KB Output is correct
20 Correct 2 ms 8796 KB Output is correct
21 Correct 2 ms 8796 KB Output is correct
22 Correct 2 ms 8796 KB Output is correct
23 Correct 3 ms 8796 KB Output is correct
24 Correct 2 ms 8792 KB Output is correct
25 Correct 2 ms 8796 KB Output is correct
26 Correct 2 ms 8620 KB Output is correct
27 Correct 2 ms 8796 KB Output is correct
28 Correct 3 ms 8796 KB Output is correct
29 Correct 2 ms 8796 KB Output is correct
30 Correct 70 ms 15956 KB Output is correct
31 Correct 73 ms 15940 KB Output is correct
32 Correct 73 ms 15896 KB Output is correct
33 Correct 86 ms 16080 KB Output is correct
34 Correct 84 ms 16324 KB Output is correct
35 Correct 73 ms 16084 KB Output is correct
36 Correct 69 ms 15956 KB Output is correct
37 Correct 80 ms 16088 KB Output is correct
38 Correct 81 ms 15952 KB Output is correct
39 Correct 81 ms 16220 KB Output is correct
40 Correct 80 ms 15956 KB Output is correct
41 Correct 66 ms 16076 KB Output is correct
42 Correct 73 ms 15952 KB Output is correct
43 Correct 79 ms 16072 KB Output is correct
44 Correct 87 ms 16096 KB Output is correct
45 Correct 81 ms 16076 KB Output is correct
46 Correct 81 ms 16168 KB Output is correct
47 Correct 78 ms 15956 KB Output is correct
48 Correct 84 ms 16160 KB Output is correct
49 Correct 78 ms 16080 KB Output is correct
50 Correct 78 ms 15952 KB Output is correct
51 Correct 78 ms 16076 KB Output is correct
52 Correct 78 ms 15956 KB Output is correct
53 Correct 85 ms 16084 KB Output is correct
54 Correct 79 ms 15956 KB Output is correct
55 Correct 2 ms 8796 KB Output is correct
56 Correct 2 ms 8796 KB Output is correct
57 Correct 1 ms 8796 KB Output is correct
58 Correct 2 ms 8796 KB Output is correct
59 Correct 2 ms 8796 KB Output is correct
60 Correct 2 ms 8796 KB Output is correct
61 Correct 2 ms 8796 KB Output is correct
62 Correct 2 ms 8796 KB Output is correct
63 Correct 1 ms 8796 KB Output is correct
64 Correct 2 ms 8796 KB Output is correct
65 Correct 2 ms 8796 KB Output is correct
66 Correct 1 ms 8796 KB Output is correct
67 Correct 2 ms 8796 KB Output is correct
68 Correct 3 ms 8796 KB Output is correct
69 Correct 2 ms 8852 KB Output is correct
70 Correct 2 ms 8796 KB Output is correct
71 Correct 2 ms 8796 KB Output is correct
72 Correct 1 ms 8796 KB Output is correct
73 Correct 2 ms 8796 KB Output is correct
74 Correct 2 ms 8776 KB Output is correct
75 Correct 1 ms 8796 KB Output is correct
76 Correct 66 ms 15956 KB Output is correct
77 Correct 80 ms 21968 KB Output is correct
78 Correct 65 ms 21536 KB Output is correct
79 Correct 65 ms 21704 KB Output is correct
80 Correct 70 ms 22208 KB Output is correct
81 Correct 65 ms 21588 KB Output is correct
82 Correct 66 ms 21460 KB Output is correct
83 Correct 67 ms 21960 KB Output is correct
84 Correct 72 ms 21840 KB Output is correct
85 Correct 70 ms 21960 KB Output is correct
86 Correct 69 ms 21572 KB Output is correct
87 Correct 67 ms 21328 KB Output is correct
88 Correct 64 ms 21584 KB Output is correct
89 Correct 64 ms 21584 KB Output is correct
90 Correct 71 ms 21332 KB Output is correct
91 Correct 67 ms 21332 KB Output is correct
92 Correct 76 ms 22612 KB Output is correct
93 Correct 73 ms 21840 KB Output is correct
94 Correct 62 ms 21032 KB Output is correct
95 Correct 68 ms 22356 KB Output is correct
96 Correct 65 ms 21332 KB Output is correct
97 Correct 68 ms 21584 KB Output is correct
98 Correct 70 ms 21844 KB Output is correct
99 Correct 67 ms 21308 KB Output is correct
100 Correct 85 ms 21592 KB Output is correct