oj.uz

Submission #406281

# Submission time Handle Problem Language Result Execution time Memory
406281 2021-05-17T10:19:17 Z arujbansal Discharging (NOI20_discharging) C++17
100 / 100
 341 ms 16564 KB 
    #include <bits/stdc++.h>
    using namespace std;
    #define int long long
     
    const int inf = 1e15;
    const int N = 1502;
     
    template<typename T> 
    struct li_chao_min {
        static const T identity = numeric_limits<T>::max();
    
        struct Line {
            T m, c;
    
            Line() {
                m = 0;
                c = identity;
            }
    
            Line(T m, T c) : m(m), c(c) {}
    
            T val(T x) { return m * x + c; }
        };
    
        struct Node {
            Line line;
            Node *lc, *rc;
    
            Node() : lc(0), rc(0) {}        
        };
    
        T L, R, eps;
        deque<Node> buffer;
        Node* root;
    
        Node* new_node() {
            buffer.emplace_back();
            return &buffer.back();
        }
    
        li_chao_min() {}
    
        li_chao_min(T _L, T _R, T _eps) {
            init(_L, _R, _eps);
        }
    
        void init(T _L, T _R, T _eps) {
            L = _L;
            R = _R;
            eps = _eps;
    
            root = new_node();
        }
    
        void insert(Node* &cur, T l, T r, Line line) {
            if (!cur) {
                cur = new_node();
                cur->line = line;
                return;
            }
    
            T mid = l + (r - l) / 2;
            if (r - l <= eps) return;
    
            if (line.val(mid) < cur->line.val(mid))
                swap(line, cur->line);
    
            if (line.val(l) < cur->line.val(l)) insert(cur->lc, l, mid, line);
            else insert(cur->rc, mid + 1, r, line);
        }
    
        T query(Node* &cur, T l, T r, T x) {
            if (!cur) return identity;
    
            T mid = l + (r - l) / 2;
            T res = cur->line.val(x);
            if (r - l <= eps) return res;
    
            if (x <= mid) return min(res, query(cur->lc, l, mid, x));
            else return min(res, query(cur->rc, mid + 1, r, x));
        }
    
        void insert(T m, T c) { insert(root, L, R, Line(m, c)); }
    
        T query(T x) { return query(root, L, R, x); }
    };
     
    signed main() {
        std::ios::sync_with_stdio(0);
        std::cout.tie(0);
        std::cin.tie(0);
        int n; cin >> n;
        vector<int> a(n + 1), dp(n + 1);
        for(int i = 1; i <= n; i++) cin >> a[i];
        li_chao_min<int> lct(1, 1000000000, 0);
        dp[1] = a[1] * n;
        lct.insert(n, 0); //querying all n at one time
        int mx = a[1];
        for(int i = 2; i <= n; i++) {
            mx = max(mx, a[i]);
            lct.insert(n - i + 1, dp[i - 1]);
            dp[i] = lct.query(mx);
            //we can qry for mx cuz the x coordinate has to be atleast mx (all under same time mx)
        }
        cout << dp[n] << '\n';
        return 0;
    }

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 204 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 332 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 1 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 332 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 332 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 1 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 332 KB Output is correct
14 Correct 1 ms 332 KB Output is correct
15 Correct 1 ms 332 KB Output is correct
16 Correct 284 ms 16168 KB Output is correct
17 Correct 295 ms 16348 KB Output is correct
18 Correct 266 ms 16252 KB Output is correct
19 Correct 283 ms 16232 KB Output is correct
20 Correct 280 ms 16224 KB Output is correct
21 Correct 304 ms 16224 KB Output is correct
22 Correct 294 ms 16240 KB Output is correct
23 Correct 285 ms 16304 KB Output is correct
24 Correct 279 ms 16252 KB Output is correct
25 Correct 286 ms 16564 KB Output is correct
26 Correct 285 ms 16224 KB Output is correct
27 Correct 284 ms 16228 KB Output is correct
28 Correct 312 ms 16328 KB Output is correct
29 Correct 294 ms 16316 KB Output is correct
30 Correct 283 ms 16272 KB Output is correct

Subtask #4
11.0 / 11.0

# Verdict Execution time Memory Grader output
1 Correct 324 ms 15964 KB Output is correct
2 Correct 341 ms 15980 KB Output is correct
3 Correct 316 ms 16072 KB Output is correct
4 Correct 317 ms 15956 KB Output is correct
5 Correct 308 ms 16068 KB Output is correct
6 Correct 316 ms 15880 KB Output is correct
7 Correct 314 ms 15968 KB Output is correct
8 Correct 303 ms 15948 KB Output is correct
9 Correct 319 ms 15956 KB Output is correct
10 Correct 320 ms 15968 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 204 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 332 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 1 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 332 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 332 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 332 KB Output is correct
39 Correct 1 ms 332 KB Output is correct
40 Correct 1 ms 332 KB Output is correct
41 Correct 2 ms 332 KB Output is correct
42 Correct 2 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 204 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 332 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 1 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 332 KB Output is correct
28 Correct 1 ms 332 KB Output is correct
29 Correct 1 ms 332 KB Output is correct
30 Correct 284 ms 16168 KB Output is correct
31 Correct 295 ms 16348 KB Output is correct
32 Correct 266 ms 16252 KB Output is correct
33 Correct 283 ms 16232 KB Output is correct
34 Correct 280 ms 16224 KB Output is correct
35 Correct 304 ms 16224 KB Output is correct
36 Correct 294 ms 16240 KB Output is correct
37 Correct 285 ms 16304 KB Output is correct
38 Correct 279 ms 16252 KB Output is correct
39 Correct 286 ms 16564 KB Output is correct
40 Correct 285 ms 16224 KB Output is correct
41 Correct 284 ms 16228 KB Output is correct
42 Correct 312 ms 16328 KB Output is correct
43 Correct 294 ms 16316 KB Output is correct
44 Correct 283 ms 16272 KB Output is correct
45 Correct 324 ms 15964 KB Output is correct
46 Correct 341 ms 15980 KB Output is correct
47 Correct 316 ms 16072 KB Output is correct
48 Correct 317 ms 15956 KB Output is correct
49 Correct 308 ms 16068 KB Output is correct
50 Correct 316 ms 15880 KB Output is correct
51 Correct 314 ms 15968 KB Output is correct
52 Correct 303 ms 15948 KB Output is correct
53 Correct 319 ms 15956 KB Output is correct
54 Correct 320 ms 15968 KB Output is correct
55 Correct 1 ms 332 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 332 KB Output is correct
64 Correct 1 ms 332 KB Output is correct
65 Correct 1 ms 332 KB Output is correct
66 Correct 2 ms 332 KB Output is correct
67 Correct 2 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 296 ms 15936 KB Output is correct
77 Correct 251 ms 15968 KB Output is correct
78 Correct 259 ms 15972 KB Output is correct
79 Correct 247 ms 16068 KB Output is correct
80 Correct 284 ms 15976 KB Output is correct
81 Correct 249 ms 15968 KB Output is correct
82 Correct 243 ms 15964 KB Output is correct
83 Correct 284 ms 16096 KB Output is correct
84 Correct 242 ms 15964 KB Output is correct
85 Correct 260 ms 16036 KB Output is correct
86 Correct 248 ms 15976 KB Output is correct
87 Correct 244 ms 15964 KB Output is correct
88 Correct 252 ms 15976 KB Output is correct
89 Correct 244 ms 16072 KB Output is correct
90 Correct 258 ms 15968 KB Output is correct
91 Correct 246 ms 15948 KB Output is correct
92 Correct 287 ms 16228 KB Output is correct
93 Correct 285 ms 16236 KB Output is correct
94 Correct 242 ms 15952 KB Output is correct
95 Correct 258 ms 16072 KB Output is correct
96 Correct 266 ms 16088 KB Output is correct
97 Correct 248 ms 15948 KB Output is correct
98 Correct 249 ms 16068 KB Output is correct
99 Correct 250 ms 15948 KB Output is correct
100 Correct 252 ms 15972 KB Output is correct