Submission #891825

# Submission time Handle Problem Language Result Execution time Memory
891825 2023-12-24T06:51:17 Z vjudge1 Discharging (NOI20_discharging) C++17
100 / 100
105 ms 15560 KB
/*
#pragma GCC optimize("Ofast,unroll-loops")
#pragma GCC target("avx2,fma,bmi,bmi2,sse4.2,popcnt,lzcnt")
*/
 
#include <bits/stdc++.h>
#define taskname ""
#define all(x) x.begin(), x.end()
#define rall(x) x.rbegin(), x.rend()
#define i64 long long
#define pb push_back
#define ff first
#define ss second
#define isz(x) (int)x.size()
using namespace std;
 
const int mxN = 3e5 + 5;
const int mod = 1e9 + 7;
const i64 oo = 1e18;

struct Line {
    mutable i64 k, m, p;
    bool operator < (const Line &rhs) const { return k < rhs.k; }
    bool operator < (i64 x) const { return p < x; }
};

struct CDuonggsLineContainer : multiset<Line, less<>> {
    const static i64 inf = LLONG_MAX;

    i64 floor_div(i64 a, i64 b) {
        return a / b - ((a ^ b) < 0 && a % b);
    }

    bool isect(iterator x, iterator y) {
        if (y == end()) {
            x->p = inf;
            return false;
        }
        if (x->k == y->k) x->p = (x->m > y->m ? inf : -inf);
        else x->p = floor_div(x->m - y->m, y->k - x->k);
        return x->p >= y->p;
    }

    void add(i64 k, i64 m) {
        k = -k, m = -m;
        auto z = insert({k, m, 0}), 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)->p >= y->p)
            isect(x, erase(y));
    }

    i64 query(i64 x) {
        assert(!empty());
        auto l = *lower_bound(x);
        return -(l.k * x + l.m);
    }
};
 
int n;
vector<pair<int, int>> a;

void solve() {
    cin >> n;
    for (int i = 1; i <= n; ++i) {
        int val; cin >> val;
        if (a.empty() || a.back().ff < val) a.emplace_back(val, 1);
        else ++a.back().ss;
    }
    CDuonggsLineContainer cht;
    int cur = 0;
    i64 pre = 0;
    for (auto [val, len] : a) {
        cht.add(-cur, pre);
        pre = 1ll * val * n + cht.query(val);
        cur += len;
    }
    cout << pre << endl;
}
 
signed main() {
 
#ifndef CDuongg
    if(fopen(taskname".inp", "r"))
        assert(freopen(taskname".inp", "r", stdin)), assert(freopen(taskname".out", "w", stdout));
#else
    freopen("bai3.inp", "r", stdin);
    freopen("bai3.out", "w", stdout);
    auto start = chrono::high_resolution_clock::now();
#endif
 
    ios_base::sync_with_stdio(false);
    cin.tie(nullptr);
    int t = 1; //cin >> t;
    while(t--) solve();
 
#ifdef CDuongg
   auto end = chrono::high_resolution_clock::now();
   cout << "\n"; for(int i = 1; i <= 100; ++i) cout << '=';
   cout << "\nExecution time: " << chrono::duration_cast<chrono::milliseconds> (end - start).count() << "[ms]" << endl;
   cout << "Check array size pls sir" << endl;
#endif
 
}
# Verdict Execution time Memory Grader output
1 Correct 0 ms 344 KB Output is correct
2 Correct 1 ms 348 KB Output is correct
3 Correct 0 ms 348 KB Output is correct
4 Correct 0 ms 348 KB Output is correct
5 Correct 0 ms 348 KB Output is correct
6 Correct 0 ms 348 KB Output is correct
7 Correct 0 ms 452 KB Output is correct
8 Correct 0 ms 348 KB Output is correct
9 Correct 0 ms 348 KB Output is correct
10 Correct 0 ms 348 KB Output is correct
11 Correct 0 ms 348 KB Output is correct
12 Correct 0 ms 348 KB Output is correct
13 Correct 0 ms 348 KB Output is correct
14 Correct 0 ms 348 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 1 ms 348 KB Output is correct
2 Correct 1 ms 348 KB Output is correct
3 Correct 1 ms 348 KB Output is correct
4 Correct 1 ms 348 KB Output is correct
5 Correct 1 ms 348 KB Output is correct
6 Correct 1 ms 348 KB Output is correct
7 Correct 1 ms 348 KB Output is correct
8 Correct 1 ms 348 KB Output is correct
9 Correct 1 ms 348 KB Output is correct
10 Correct 1 ms 348 KB Output is correct
11 Correct 1 ms 500 KB Output is correct
12 Correct 1 ms 348 KB Output is correct
13 Correct 1 ms 348 KB Output is correct
14 Correct 1 ms 472 KB Output is correct
15 Correct 1 ms 348 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 1 ms 348 KB Output is correct
2 Correct 1 ms 348 KB Output is correct
3 Correct 1 ms 348 KB Output is correct
4 Correct 1 ms 348 KB Output is correct
5 Correct 1 ms 348 KB Output is correct
6 Correct 1 ms 348 KB Output is correct
7 Correct 1 ms 348 KB Output is correct
8 Correct 1 ms 348 KB Output is correct
9 Correct 1 ms 348 KB Output is correct
10 Correct 1 ms 348 KB Output is correct
11 Correct 1 ms 500 KB Output is correct
12 Correct 1 ms 348 KB Output is correct
13 Correct 1 ms 348 KB Output is correct
14 Correct 1 ms 472 KB Output is correct
15 Correct 1 ms 348 KB Output is correct
16 Correct 86 ms 10132 KB Output is correct
17 Correct 88 ms 10440 KB Output is correct
18 Correct 69 ms 8572 KB Output is correct
19 Correct 89 ms 9488 KB Output is correct
20 Correct 90 ms 9056 KB Output is correct
21 Correct 87 ms 10384 KB Output is correct
22 Correct 84 ms 10356 KB Output is correct
23 Correct 101 ms 14272 KB Output is correct
24 Correct 95 ms 13764 KB Output is correct
25 Correct 97 ms 15300 KB Output is correct
26 Correct 105 ms 15076 KB Output is correct
27 Correct 76 ms 9428 KB Output is correct
28 Correct 94 ms 9024 KB Output is correct
29 Correct 97 ms 15560 KB Output is correct
30 Correct 103 ms 15004 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 73 ms 8068 KB Output is correct
2 Correct 72 ms 7880 KB Output is correct
3 Correct 73 ms 8016 KB Output is correct
4 Correct 72 ms 8020 KB Output is correct
5 Correct 73 ms 8016 KB Output is correct
6 Correct 77 ms 8108 KB Output is correct
7 Correct 77 ms 7992 KB Output is correct
8 Correct 73 ms 8056 KB Output is correct
9 Correct 72 ms 8020 KB Output is correct
10 Correct 72 ms 8020 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 0 ms 344 KB Output is correct
2 Correct 1 ms 348 KB Output is correct
3 Correct 0 ms 348 KB Output is correct
4 Correct 0 ms 348 KB Output is correct
5 Correct 0 ms 348 KB Output is correct
6 Correct 0 ms 348 KB Output is correct
7 Correct 0 ms 452 KB Output is correct
8 Correct 0 ms 348 KB Output is correct
9 Correct 0 ms 348 KB Output is correct
10 Correct 0 ms 348 KB Output is correct
11 Correct 0 ms 348 KB Output is correct
12 Correct 0 ms 348 KB Output is correct
13 Correct 0 ms 348 KB Output is correct
14 Correct 0 ms 348 KB Output is correct
15 Correct 1 ms 348 KB Output is correct
16 Correct 1 ms 348 KB Output is correct
17 Correct 1 ms 348 KB Output is correct
18 Correct 1 ms 348 KB Output is correct
19 Correct 1 ms 348 KB Output is correct
20 Correct 1 ms 348 KB Output is correct
21 Correct 1 ms 348 KB Output is correct
22 Correct 1 ms 348 KB Output is correct
23 Correct 1 ms 348 KB Output is correct
24 Correct 1 ms 348 KB Output is correct
25 Correct 1 ms 500 KB Output is correct
26 Correct 1 ms 348 KB Output is correct
27 Correct 1 ms 348 KB Output is correct
28 Correct 1 ms 472 KB Output is correct
29 Correct 1 ms 348 KB Output is correct
30 Correct 0 ms 348 KB Output is correct
31 Correct 1 ms 348 KB Output is correct
32 Correct 0 ms 348 KB Output is correct
33 Correct 0 ms 464 KB Output is correct
34 Correct 1 ms 348 KB Output is correct
35 Correct 0 ms 348 KB Output is correct
36 Correct 0 ms 348 KB Output is correct
37 Correct 0 ms 348 KB Output is correct
38 Correct 0 ms 348 KB Output is correct
39 Correct 0 ms 460 KB Output is correct
40 Correct 0 ms 348 KB Output is correct
41 Correct 0 ms 468 KB Output is correct
42 Correct 1 ms 348 KB Output is correct
43 Correct 1 ms 348 KB Output is correct
44 Correct 0 ms 348 KB Output is correct
45 Correct 0 ms 348 KB Output is correct
46 Correct 0 ms 348 KB Output is correct
47 Correct 0 ms 348 KB Output is correct
48 Correct 1 ms 344 KB Output is correct
49 Correct 0 ms 348 KB Output is correct
50 Correct 1 ms 348 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 0 ms 344 KB Output is correct
2 Correct 1 ms 348 KB Output is correct
3 Correct 0 ms 348 KB Output is correct
4 Correct 0 ms 348 KB Output is correct
5 Correct 0 ms 348 KB Output is correct
6 Correct 0 ms 348 KB Output is correct
7 Correct 0 ms 452 KB Output is correct
8 Correct 0 ms 348 KB Output is correct
9 Correct 0 ms 348 KB Output is correct
10 Correct 0 ms 348 KB Output is correct
11 Correct 0 ms 348 KB Output is correct
12 Correct 0 ms 348 KB Output is correct
13 Correct 0 ms 348 KB Output is correct
14 Correct 0 ms 348 KB Output is correct
15 Correct 1 ms 348 KB Output is correct
16 Correct 1 ms 348 KB Output is correct
17 Correct 1 ms 348 KB Output is correct
18 Correct 1 ms 348 KB Output is correct
19 Correct 1 ms 348 KB Output is correct
20 Correct 1 ms 348 KB Output is correct
21 Correct 1 ms 348 KB Output is correct
22 Correct 1 ms 348 KB Output is correct
23 Correct 1 ms 348 KB Output is correct
24 Correct 1 ms 348 KB Output is correct
25 Correct 1 ms 500 KB Output is correct
26 Correct 1 ms 348 KB Output is correct
27 Correct 1 ms 348 KB Output is correct
28 Correct 1 ms 472 KB Output is correct
29 Correct 1 ms 348 KB Output is correct
30 Correct 86 ms 10132 KB Output is correct
31 Correct 88 ms 10440 KB Output is correct
32 Correct 69 ms 8572 KB Output is correct
33 Correct 89 ms 9488 KB Output is correct
34 Correct 90 ms 9056 KB Output is correct
35 Correct 87 ms 10384 KB Output is correct
36 Correct 84 ms 10356 KB Output is correct
37 Correct 101 ms 14272 KB Output is correct
38 Correct 95 ms 13764 KB Output is correct
39 Correct 97 ms 15300 KB Output is correct
40 Correct 105 ms 15076 KB Output is correct
41 Correct 76 ms 9428 KB Output is correct
42 Correct 94 ms 9024 KB Output is correct
43 Correct 97 ms 15560 KB Output is correct
44 Correct 103 ms 15004 KB Output is correct
45 Correct 73 ms 8068 KB Output is correct
46 Correct 72 ms 7880 KB Output is correct
47 Correct 73 ms 8016 KB Output is correct
48 Correct 72 ms 8020 KB Output is correct
49 Correct 73 ms 8016 KB Output is correct
50 Correct 77 ms 8108 KB Output is correct
51 Correct 77 ms 7992 KB Output is correct
52 Correct 73 ms 8056 KB Output is correct
53 Correct 72 ms 8020 KB Output is correct
54 Correct 72 ms 8020 KB Output is correct
55 Correct 0 ms 348 KB Output is correct
56 Correct 1 ms 348 KB Output is correct
57 Correct 0 ms 348 KB Output is correct
58 Correct 0 ms 464 KB Output is correct
59 Correct 1 ms 348 KB Output is correct
60 Correct 0 ms 348 KB Output is correct
61 Correct 0 ms 348 KB Output is correct
62 Correct 0 ms 348 KB Output is correct
63 Correct 0 ms 348 KB Output is correct
64 Correct 0 ms 460 KB Output is correct
65 Correct 0 ms 348 KB Output is correct
66 Correct 0 ms 468 KB Output is correct
67 Correct 1 ms 348 KB Output is correct
68 Correct 1 ms 348 KB Output is correct
69 Correct 0 ms 348 KB Output is correct
70 Correct 0 ms 348 KB Output is correct
71 Correct 0 ms 348 KB Output is correct
72 Correct 0 ms 348 KB Output is correct
73 Correct 1 ms 344 KB Output is correct
74 Correct 0 ms 348 KB Output is correct
75 Correct 1 ms 348 KB Output is correct
76 Correct 58 ms 5460 KB Output is correct
77 Correct 59 ms 5204 KB Output is correct
78 Correct 56 ms 4948 KB Output is correct
79 Correct 56 ms 4804 KB Output is correct
80 Correct 63 ms 5456 KB Output is correct
81 Correct 64 ms 4944 KB Output is correct
82 Correct 56 ms 5016 KB Output is correct
83 Correct 76 ms 5204 KB Output is correct
84 Correct 63 ms 4936 KB Output is correct
85 Correct 58 ms 5204 KB Output is correct
86 Correct 62 ms 5200 KB Output is correct
87 Correct 57 ms 4692 KB Output is correct
88 Correct 57 ms 5040 KB Output is correct
89 Correct 57 ms 4944 KB Output is correct
90 Correct 57 ms 4920 KB Output is correct
91 Correct 56 ms 4784 KB Output is correct
92 Correct 96 ms 10448 KB Output is correct
93 Correct 89 ms 8996 KB Output is correct
94 Correct 53 ms 4436 KB Output is correct
95 Correct 60 ms 5456 KB Output is correct
96 Correct 55 ms 4788 KB Output is correct
97 Correct 57 ms 4944 KB Output is correct
98 Correct 57 ms 4948 KB Output is correct
99 Correct 58 ms 5036 KB Output is correct
100 Correct 62 ms 5204 KB Output is correct