Submission #996998

# Submission time Handle Problem Language Result Execution time Memory
996998 2024-06-11T14:50:03 Z cpptowin Discharging (NOI20_discharging) C++17
100 / 100
116 ms 25840 KB
#include <bits/stdc++.h>
#define fo(i, d, c) for (int i = d; i <= c; i++)
#define fod(i, c, d) for (int i = c; i >= d; i--)
#define maxn 1000010
#define N 1010
#define fi first
#define se second
#define pb emplace_back
#define en cout << "\n";
#define int long long
#define inf (int)1e18
#define pii pair<int, int>
#define vii vector<pii>
#define lb(x) x & -x
#define bit(i, j) ((i >> j) & 1)
#define offbit(i, j) (i ^ (1LL << j))
#define onbit(i, j) (i | (1LL << j))
#define vi vector<int>
#define all(x) x.begin(),x.end()
template <typename T1, typename T2>
bool minimize(T1 &a, T2 b)
{
    if (a > b)
    {
        a = b;
        return true;
    }
    return false;
}
template <typename T1, typename T2>
bool maximize(T1 &a, T2 b)
{
    if (a < b)
    {
        a = b;
        return true;
    }
    return false;
}
using namespace std;
const int nsqrt = 450;
const int mod = 1e9 + 7;
vii line;
int pos;
int eval(pii a,int x)
{
    return a.fi * x + a.se;
}
bool bad(pii a,pii b,pii c)
{
    return (double)(b.se - a.se) / (a.fi - b.fi) >= (double)(c.se - a.se) / (a.fi - c.fi);
}
void add(pii newline)
{
    line.pb(newline);
    while(line.size() > 2 && bad(line[line.size() - 3],line[line.size() - 2],line.back()))
        line.erase(line.end() - 2);
}
int get(int x)
{
    if(pos >= line.size()) pos = line.size() - 1;
    while(pos < line.size() - 1 && eval(line[pos],x) > eval(line[pos + 1],x)) pos++;
    return eval(line[pos],x);
}
int f[maxn];
int n,a[maxn];
main()
{
#define name "TASK"
    if (fopen(name ".inp", "r"))
    {
        freopen(name ".inp", "r", stdin);
        freopen(name ".out", "w", stdout);
    }
    ios_base::sync_with_stdio(false);
    cin.tie(NULL);
    cin >> n;
    fo(i,1,n)
    {
        cin >> a[i];
        maximize(a[i],a[i - 1]);
        f[i] = inf;
    }
    add({0,0});
    fo(i,1,n)
    {
        f[i] = get(a[i]) + n * a[i];
        add({-i,f[i]});
    }
    cout << f[n];
}

Compilation message

Discharging.cpp: In function 'long long int get(long long int)':
Discharging.cpp:61:12: warning: comparison of integer expressions of different signedness: 'long long int' and 'std::vector<std::pair<long long int, long long int> >::size_type' {aka 'long unsigned int'} [-Wsign-compare]
   61 |     if(pos >= line.size()) pos = line.size() - 1;
      |        ~~~~^~~~~~~~~~~~~~
Discharging.cpp:62:15: warning: comparison of integer expressions of different signedness: 'long long int' and 'std::vector<std::pair<long long int, long long int> >::size_type' {aka 'long unsigned int'} [-Wsign-compare]
   62 |     while(pos < line.size() - 1 && eval(line[pos],x) > eval(line[pos + 1],x)) pos++;
      |           ~~~~^~~~~~~~~~~~~~~~~
Discharging.cpp: At global scope:
Discharging.cpp:67:1: warning: ISO C++ forbids declaration of 'main' with no type [-Wreturn-type]
   67 | main()
      | ^~~~
Discharging.cpp: In function 'int main()':
Discharging.cpp:72:16: warning: ignoring return value of 'FILE* freopen(const char*, const char*, FILE*)' declared with attribute 'warn_unused_result' [-Wunused-result]
   72 |         freopen(name ".inp", "r", stdin);
      |         ~~~~~~~^~~~~~~~~~~~~~~~~~~~~~~~~
Discharging.cpp:73:16: warning: ignoring return value of 'FILE* freopen(const char*, const char*, FILE*)' declared with attribute 'warn_unused_result' [-Wunused-result]
   73 |         freopen(name ".out", "w", stdout);
      |         ~~~~~~~^~~~~~~~~~~~~~~~~~~~~~~~~~
# Verdict Execution time Memory Grader output
1 Correct 1 ms 2396 KB Output is correct
2 Correct 1 ms 2396 KB Output is correct
3 Correct 1 ms 2396 KB Output is correct
4 Correct 0 ms 2396 KB Output is correct
5 Correct 0 ms 2392 KB Output is correct
6 Correct 1 ms 2396 KB Output is correct
7 Correct 0 ms 2396 KB Output is correct
8 Correct 0 ms 2504 KB Output is correct
9 Correct 1 ms 2396 KB Output is correct
10 Correct 1 ms 2396 KB Output is correct
11 Correct 1 ms 2396 KB Output is correct
12 Correct 0 ms 2396 KB Output is correct
13 Correct 1 ms 2396 KB Output is correct
14 Correct 0 ms 2512 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 1 ms 2392 KB Output is correct
2 Correct 1 ms 2396 KB Output is correct
3 Correct 1 ms 2396 KB Output is correct
4 Correct 1 ms 2396 KB Output is correct
5 Correct 1 ms 2396 KB Output is correct
6 Correct 1 ms 2396 KB Output is correct
7 Correct 1 ms 2396 KB Output is correct
8 Correct 1 ms 2396 KB Output is correct
9 Correct 1 ms 2396 KB Output is correct
10 Correct 1 ms 2396 KB Output is correct
11 Correct 1 ms 2392 KB Output is correct
12 Correct 1 ms 2396 KB Output is correct
13 Correct 1 ms 2396 KB Output is correct
14 Correct 1 ms 2520 KB Output is correct
15 Correct 1 ms 2396 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 1 ms 2392 KB Output is correct
2 Correct 1 ms 2396 KB Output is correct
3 Correct 1 ms 2396 KB Output is correct
4 Correct 1 ms 2396 KB Output is correct
5 Correct 1 ms 2396 KB Output is correct
6 Correct 1 ms 2396 KB Output is correct
7 Correct 1 ms 2396 KB Output is correct
8 Correct 1 ms 2396 KB Output is correct
9 Correct 1 ms 2396 KB Output is correct
10 Correct 1 ms 2396 KB Output is correct
11 Correct 1 ms 2392 KB Output is correct
12 Correct 1 ms 2396 KB Output is correct
13 Correct 1 ms 2396 KB Output is correct
14 Correct 1 ms 2520 KB Output is correct
15 Correct 1 ms 2396 KB Output is correct
16 Correct 73 ms 21144 KB Output is correct
17 Correct 77 ms 21884 KB Output is correct
18 Correct 70 ms 20308 KB Output is correct
19 Correct 75 ms 21840 KB Output is correct
20 Correct 76 ms 21588 KB Output is correct
21 Correct 78 ms 21844 KB Output is correct
22 Correct 75 ms 21364 KB Output is correct
23 Correct 80 ms 22352 KB Output is correct
24 Correct 75 ms 21840 KB Output is correct
25 Correct 79 ms 22356 KB Output is correct
26 Correct 84 ms 22612 KB Output is correct
27 Correct 77 ms 21256 KB Output is correct
28 Correct 84 ms 21876 KB Output is correct
29 Correct 80 ms 22100 KB Output is correct
30 Correct 86 ms 22256 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 116 ms 25668 KB Output is correct
2 Correct 86 ms 25576 KB Output is correct
3 Correct 89 ms 25596 KB Output is correct
4 Correct 90 ms 25708 KB Output is correct
5 Correct 86 ms 25708 KB Output is correct
6 Correct 93 ms 25700 KB Output is correct
7 Correct 87 ms 25684 KB Output is correct
8 Correct 89 ms 25708 KB Output is correct
9 Correct 94 ms 25684 KB Output is correct
10 Correct 94 ms 25840 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 1 ms 2396 KB Output is correct
2 Correct 1 ms 2396 KB Output is correct
3 Correct 1 ms 2396 KB Output is correct
4 Correct 0 ms 2396 KB Output is correct
5 Correct 0 ms 2392 KB Output is correct
6 Correct 1 ms 2396 KB Output is correct
7 Correct 0 ms 2396 KB Output is correct
8 Correct 0 ms 2504 KB Output is correct
9 Correct 1 ms 2396 KB Output is correct
10 Correct 1 ms 2396 KB Output is correct
11 Correct 1 ms 2396 KB Output is correct
12 Correct 0 ms 2396 KB Output is correct
13 Correct 1 ms 2396 KB Output is correct
14 Correct 0 ms 2512 KB Output is correct
15 Correct 1 ms 2392 KB Output is correct
16 Correct 1 ms 2396 KB Output is correct
17 Correct 1 ms 2396 KB Output is correct
18 Correct 1 ms 2396 KB Output is correct
19 Correct 1 ms 2396 KB Output is correct
20 Correct 1 ms 2396 KB Output is correct
21 Correct 1 ms 2396 KB Output is correct
22 Correct 1 ms 2396 KB Output is correct
23 Correct 1 ms 2396 KB Output is correct
24 Correct 1 ms 2396 KB Output is correct
25 Correct 1 ms 2392 KB Output is correct
26 Correct 1 ms 2396 KB Output is correct
27 Correct 1 ms 2396 KB Output is correct
28 Correct 1 ms 2520 KB Output is correct
29 Correct 1 ms 2396 KB Output is correct
30 Correct 1 ms 2396 KB Output is correct
31 Correct 0 ms 2396 KB Output is correct
32 Correct 0 ms 2396 KB Output is correct
33 Correct 1 ms 2396 KB Output is correct
34 Correct 1 ms 2396 KB Output is correct
35 Correct 1 ms 2396 KB Output is correct
36 Correct 0 ms 2396 KB Output is correct
37 Correct 1 ms 2396 KB Output is correct
38 Correct 1 ms 2396 KB Output is correct
39 Correct 0 ms 2396 KB Output is correct
40 Correct 1 ms 2396 KB Output is correct
41 Correct 1 ms 2524 KB Output is correct
42 Correct 1 ms 2524 KB Output is correct
43 Correct 1 ms 2396 KB Output is correct
44 Correct 1 ms 2396 KB Output is correct
45 Correct 1 ms 2396 KB Output is correct
46 Correct 1 ms 2396 KB Output is correct
47 Correct 0 ms 2396 KB Output is correct
48 Correct 0 ms 2396 KB Output is correct
49 Correct 0 ms 2396 KB Output is correct
50 Correct 1 ms 2520 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 1 ms 2396 KB Output is correct
2 Correct 1 ms 2396 KB Output is correct
3 Correct 1 ms 2396 KB Output is correct
4 Correct 0 ms 2396 KB Output is correct
5 Correct 0 ms 2392 KB Output is correct
6 Correct 1 ms 2396 KB Output is correct
7 Correct 0 ms 2396 KB Output is correct
8 Correct 0 ms 2504 KB Output is correct
9 Correct 1 ms 2396 KB Output is correct
10 Correct 1 ms 2396 KB Output is correct
11 Correct 1 ms 2396 KB Output is correct
12 Correct 0 ms 2396 KB Output is correct
13 Correct 1 ms 2396 KB Output is correct
14 Correct 0 ms 2512 KB Output is correct
15 Correct 1 ms 2392 KB Output is correct
16 Correct 1 ms 2396 KB Output is correct
17 Correct 1 ms 2396 KB Output is correct
18 Correct 1 ms 2396 KB Output is correct
19 Correct 1 ms 2396 KB Output is correct
20 Correct 1 ms 2396 KB Output is correct
21 Correct 1 ms 2396 KB Output is correct
22 Correct 1 ms 2396 KB Output is correct
23 Correct 1 ms 2396 KB Output is correct
24 Correct 1 ms 2396 KB Output is correct
25 Correct 1 ms 2392 KB Output is correct
26 Correct 1 ms 2396 KB Output is correct
27 Correct 1 ms 2396 KB Output is correct
28 Correct 1 ms 2520 KB Output is correct
29 Correct 1 ms 2396 KB Output is correct
30 Correct 73 ms 21144 KB Output is correct
31 Correct 77 ms 21884 KB Output is correct
32 Correct 70 ms 20308 KB Output is correct
33 Correct 75 ms 21840 KB Output is correct
34 Correct 76 ms 21588 KB Output is correct
35 Correct 78 ms 21844 KB Output is correct
36 Correct 75 ms 21364 KB Output is correct
37 Correct 80 ms 22352 KB Output is correct
38 Correct 75 ms 21840 KB Output is correct
39 Correct 79 ms 22356 KB Output is correct
40 Correct 84 ms 22612 KB Output is correct
41 Correct 77 ms 21256 KB Output is correct
42 Correct 84 ms 21876 KB Output is correct
43 Correct 80 ms 22100 KB Output is correct
44 Correct 86 ms 22256 KB Output is correct
45 Correct 116 ms 25668 KB Output is correct
46 Correct 86 ms 25576 KB Output is correct
47 Correct 89 ms 25596 KB Output is correct
48 Correct 90 ms 25708 KB Output is correct
49 Correct 86 ms 25708 KB Output is correct
50 Correct 93 ms 25700 KB Output is correct
51 Correct 87 ms 25684 KB Output is correct
52 Correct 89 ms 25708 KB Output is correct
53 Correct 94 ms 25684 KB Output is correct
54 Correct 94 ms 25840 KB Output is correct
55 Correct 1 ms 2396 KB Output is correct
56 Correct 0 ms 2396 KB Output is correct
57 Correct 0 ms 2396 KB Output is correct
58 Correct 1 ms 2396 KB Output is correct
59 Correct 1 ms 2396 KB Output is correct
60 Correct 1 ms 2396 KB Output is correct
61 Correct 0 ms 2396 KB Output is correct
62 Correct 1 ms 2396 KB Output is correct
63 Correct 1 ms 2396 KB Output is correct
64 Correct 0 ms 2396 KB Output is correct
65 Correct 1 ms 2396 KB Output is correct
66 Correct 1 ms 2524 KB Output is correct
67 Correct 1 ms 2524 KB Output is correct
68 Correct 1 ms 2396 KB Output is correct
69 Correct 1 ms 2396 KB Output is correct
70 Correct 1 ms 2396 KB Output is correct
71 Correct 1 ms 2396 KB Output is correct
72 Correct 0 ms 2396 KB Output is correct
73 Correct 0 ms 2396 KB Output is correct
74 Correct 0 ms 2396 KB Output is correct
75 Correct 1 ms 2520 KB Output is correct
76 Correct 78 ms 22096 KB Output is correct
77 Correct 94 ms 22128 KB Output is correct
78 Correct 72 ms 21328 KB Output is correct
79 Correct 77 ms 21744 KB Output is correct
80 Correct 82 ms 22216 KB Output is correct
81 Correct 77 ms 21500 KB Output is correct
82 Correct 79 ms 21372 KB Output is correct
83 Correct 78 ms 21844 KB Output is correct
84 Correct 76 ms 21844 KB Output is correct
85 Correct 85 ms 22128 KB Output is correct
86 Correct 81 ms 21332 KB Output is correct
87 Correct 74 ms 21332 KB Output is correct
88 Correct 93 ms 21588 KB Output is correct
89 Correct 73 ms 21632 KB Output is correct
90 Correct 75 ms 21440 KB Output is correct
91 Correct 70 ms 21328 KB Output is correct
92 Correct 83 ms 22620 KB Output is correct
93 Correct 79 ms 21844 KB Output is correct
94 Correct 86 ms 20972 KB Output is correct
95 Correct 79 ms 22384 KB Output is correct
96 Correct 72 ms 21236 KB Output is correct
97 Correct 72 ms 21584 KB Output is correct
98 Correct 75 ms 22096 KB Output is correct
99 Correct 74 ms 21340 KB Output is correct
100 Correct 72 ms 21588 KB Output is correct