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Submission #406276

# Submission time Handle Problem Language Result Execution time Memory
406276 2021-05-17T10:13:21 Z saarang123 Discharging (NOI20_discharging) C++17
100 / 100
 246 ms 25680 KB 
#include <bits/stdc++.h>
using namespace std;
#define int long long
 
const int inf = 1e15;
const int N = 1502;
 
struct line {
    mutable long long m, b, l;
    line(long long _m, long long _b) : m(_m), b(_b), l(0) {}
    bool operator<(const line& other) const { return m < other.m; }
    bool operator<(const long long x) const { return l < x; }
};
template<bool GET_MAX = false>
struct CHT : multiset<line, less<>> {
    // double: inf = 1/.0, div(a, b) = a / b
    static const long long inf = 1e15;
    long long div(long long a, long long b) { return a / b - ((a ^ b) < 0 && a & b); }
    bool isect(iterator x, iterator y) {
        if (y == end()) { x->l = inf; return false; }
        if (x->m == y->m) x->l = x->b > y->b ? inf : -inf;
        else x->l = div(y->b - x->b, x->m - y->m);
        return x->l >= y->l;
    }
    void add(line l) {
        if (!GET_MAX) l.m = -l.m, l.b = -l.b; 
        auto z = insert(l), y = z++, x = y;
        while(isect(y, z)) z = erase(z);
        if (x != begin() && isect(--x, y)) isect(x, y = erase(y));
        while ((y = x) != begin() && (--x)->l >= y->l) isect(x, erase(y));
    }
    long long qry(long long x) {
        auto l = *lower_bound(x);
        return (l.m * x + l.b) * (GET_MAX ? 1 : -1);
    }
};

 
 
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];
    CHT<> cht;
    dp[1] = a[1] * n;
    cht.add({n, 0}); //querying all n at one time
    int mx = a[1];
    for(int i = 2; i <= n; i++) {
        mx = max(mx, a[i]);
        cht.add({n - i + 1, dp[i - 1]});
        dp[i] = cht.qry(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 324 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 328 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 324 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 328 KB Output is correct
14 Correct 1 ms 332 KB Output is correct
15 Correct 1 ms 332 KB Output is correct
16 Correct 195 ms 21192 KB Output is correct
17 Correct 203 ms 21724 KB Output is correct
18 Correct 192 ms 20448 KB Output is correct
19 Correct 199 ms 21844 KB Output is correct
20 Correct 201 ms 21572 KB Output is correct
21 Correct 205 ms 21704 KB Output is correct
22 Correct 190 ms 21316 KB Output is correct
23 Correct 246 ms 22352 KB Output is correct
24 Correct 200 ms 21840 KB Output is correct
25 Correct 201 ms 22236 KB Output is correct
26 Correct 209 ms 22468 KB Output is correct
27 Correct 187 ms 21076 KB Output is correct
28 Correct 210 ms 21884 KB Output is correct
29 Correct 208 ms 21960 KB Output is correct
30 Correct 217 ms 22304 KB Output is correct

Subtask #4
11.0 / 11.0

# Verdict Execution time Memory Grader output
1 Correct 204 ms 25656 KB Output is correct
2 Correct 201 ms 25544 KB Output is correct
3 Correct 198 ms 25560 KB Output is correct
4 Correct 195 ms 25540 KB Output is correct
5 Correct 206 ms 25556 KB Output is correct
6 Correct 198 ms 25540 KB Output is correct
7 Correct 200 ms 25672 KB Output is correct
8 Correct 194 ms 25540 KB Output is correct
9 Correct 200 ms 25560 KB Output is correct
10 Correct 195 ms 25680 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 324 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 328 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 2 ms 312 KB Output is correct
38 Correct 1 ms 332 KB Output is correct
39 Correct 1 ms 320 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 2 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 308 KB Output is correct
48 Correct 1 ms 316 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 324 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 328 KB Output is correct
28 Correct 1 ms 332 KB Output is correct
29 Correct 1 ms 332 KB Output is correct
30 Correct 195 ms 21192 KB Output is correct
31 Correct 203 ms 21724 KB Output is correct
32 Correct 192 ms 20448 KB Output is correct
33 Correct 199 ms 21844 KB Output is correct
34 Correct 201 ms 21572 KB Output is correct
35 Correct 205 ms 21704 KB Output is correct
36 Correct 190 ms 21316 KB Output is correct
37 Correct 246 ms 22352 KB Output is correct
38 Correct 200 ms 21840 KB Output is correct
39 Correct 201 ms 22236 KB Output is correct
40 Correct 209 ms 22468 KB Output is correct
41 Correct 187 ms 21076 KB Output is correct
42 Correct 210 ms 21884 KB Output is correct
43 Correct 208 ms 21960 KB Output is correct
44 Correct 217 ms 22304 KB Output is correct
45 Correct 204 ms 25656 KB Output is correct
46 Correct 201 ms 25544 KB Output is correct
47 Correct 198 ms 25560 KB Output is correct
48 Correct 195 ms 25540 KB Output is correct
49 Correct 206 ms 25556 KB Output is correct
50 Correct 198 ms 25540 KB Output is correct
51 Correct 200 ms 25672 KB Output is correct
52 Correct 194 ms 25540 KB Output is correct
53 Correct 200 ms 25560 KB Output is correct
54 Correct 195 ms 25680 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 2 ms 312 KB Output is correct
63 Correct 1 ms 332 KB Output is correct
64 Correct 1 ms 320 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 2 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 308 KB Output is correct
73 Correct 1 ms 316 KB Output is correct
74 Correct 1 ms 332 KB Output is correct
75 Correct 1 ms 332 KB Output is correct
76 Correct 182 ms 21968 KB Output is correct
77 Correct 201 ms 21980 KB Output is correct
78 Correct 175 ms 21316 KB Output is correct
79 Correct 177 ms 21572 KB Output is correct
80 Correct 185 ms 22336 KB Output is correct
81 Correct 182 ms 21528 KB Output is correct
82 Correct 178 ms 21456 KB Output is correct
83 Correct 179 ms 21836 KB Output is correct
84 Correct 186 ms 21844 KB Output is correct
85 Correct 191 ms 21972 KB Output is correct
86 Correct 173 ms 21324 KB Output is correct
87 Correct 179 ms 21336 KB Output is correct
88 Correct 177 ms 21572 KB Output is correct
89 Correct 177 ms 21580 KB Output is correct
90 Correct 175 ms 21444 KB Output is correct
91 Correct 178 ms 21196 KB Output is correct
92 Correct 203 ms 22480 KB Output is correct
93 Correct 195 ms 21756 KB Output is correct
94 Correct 177 ms 20820 KB Output is correct
95 Correct 189 ms 22236 KB Output is correct
96 Correct 173 ms 21316 KB Output is correct
97 Correct 180 ms 21584 KB Output is correct
98 Correct 181 ms 21744 KB Output is correct
99 Correct 176 ms 21444 KB Output is correct
100 Correct 180 ms 21472 KB Output is correct