oj.uz

Submission #318299

# Submission time Handle Problem Language Result Execution time Memory
318299 2020-11-01T02:49:12 Z ryangohca Discharging (NOI20_discharging) C++17
100 / 100
 446 ms 25828 KB 
#include <bits/stdc++.h>
#define int long long
using namespace std;
int nums[1000001], dp[1000001];
deque<pair<int,int> > dq;
int f(pair<int,int> line, int x){
     return line.first*x + line.second;
}
int query(int x){
    while(dq.size()>1){ //to prevent seg fault when accessing dq[1]
        if(f(dq[0],x)<f(dq[1],x)) //the next line is better
            dq.pop_front(); //remove useless line
        else break;
    }
    return f(dq[0],x);
}
double intersect(int m1, int c1, int m2, int c2){
      return (double)(c2-c1)/(m1-m2);
}
double intersect(pair<int,int> p1, pair<int,int> p2){
      return intersect(p1.first,p1.second,p2.first,p2.second);
}
void insert(int m,int c) {//insert line y=mx+c
     pair<int,int> line = make_pair(m,c);
     while (dq.size()>1) { //to prevent seg fault
         int s = dq.size();
         if (intersect(dq[s-1], line) <= intersect(dq[s-2], line))
            dq.pop_back(); //removes useless line
        else break;
     }
     dq.push_back(line);
}
main(){
    int n; cin >> n;
    for (int i = 1; i <= n; i++){
        dp[i] = 1e16;
        cin >> nums[i];
        nums[i] = max(nums[i], nums[i - 1]);
    }
    for (int i = 1; i <= n; i++){
        insert(i, -dp[i - 1]);
        dp[i] = -query(nums[i]) + nums[i] * n + nums[i];
        /*
        for (int j = 1; j <= i; j++){
            dp[i] = min(dp[i], - nums[i] * j + dp[j - 1] + nums[i] * n + nums[i]));
        }
        */
    }
    cout << dp[n] << '\n';
}

Compilation message

Discharging.cpp:33:6: warning: ISO C++ forbids declaration of 'main' with no type [-Wreturn-type]
   33 | main(){
      |      ^

Subtask #1
9.0 / 9.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 364 KB Output is correct
2 Correct 0 ms 364 KB Output is correct
3 Correct 0 ms 364 KB Output is correct
4 Correct 0 ms 364 KB Output is correct
5 Correct 0 ms 364 KB Output is correct
6 Correct 0 ms 364 KB Output is correct
7 Correct 0 ms 364 KB Output is correct
8 Correct 0 ms 364 KB Output is correct
9 Correct 1 ms 364 KB Output is correct
10 Correct 0 ms 364 KB Output is correct
11 Correct 0 ms 364 KB Output is correct
12 Correct 0 ms 364 KB Output is correct
13 Correct 1 ms 364 KB Output is correct
14 Correct 0 ms 364 KB Output is correct

Subtask #2
13.0 / 13.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 364 KB Output is correct
2 Correct 1 ms 364 KB Output is correct
3 Correct 1 ms 364 KB Output is correct
4 Correct 1 ms 364 KB Output is correct
5 Correct 1 ms 512 KB Output is correct
6 Correct 1 ms 364 KB Output is correct
7 Correct 1 ms 364 KB Output is correct
8 Correct 2 ms 364 KB Output is correct
9 Correct 1 ms 364 KB Output is correct
10 Correct 2 ms 364 KB Output is correct
11 Correct 1 ms 364 KB Output is correct
12 Correct 1 ms 364 KB Output is correct
13 Correct 1 ms 364 KB Output is correct
14 Correct 1 ms 364 KB Output is correct
15 Correct 1 ms 364 KB Output is correct

Subtask #3
25.0 / 25.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 364 KB Output is correct
2 Correct 1 ms 364 KB Output is correct
3 Correct 1 ms 364 KB Output is correct
4 Correct 1 ms 364 KB Output is correct
5 Correct 1 ms 512 KB Output is correct
6 Correct 1 ms 364 KB Output is correct
7 Correct 1 ms 364 KB Output is correct
8 Correct 2 ms 364 KB Output is correct
9 Correct 1 ms 364 KB Output is correct
10 Correct 2 ms 364 KB Output is correct
11 Correct 1 ms 364 KB Output is correct
12 Correct 1 ms 364 KB Output is correct
13 Correct 1 ms 364 KB Output is correct
14 Correct 1 ms 364 KB Output is correct
15 Correct 1 ms 364 KB Output is correct
16 Correct 304 ms 16100 KB Output is correct
17 Correct 330 ms 21936 KB Output is correct
18 Correct 280 ms 20524 KB Output is correct
19 Correct 327 ms 21860 KB Output is correct
20 Correct 326 ms 21732 KB Output is correct
21 Correct 332 ms 21732 KB Output is correct
22 Correct 315 ms 21364 KB Output is correct
23 Correct 350 ms 22372 KB Output is correct
24 Correct 332 ms 21984 KB Output is correct
25 Correct 345 ms 22452 KB Output is correct
26 Correct 363 ms 22756 KB Output is correct
27 Correct 302 ms 21092 KB Output is correct
28 Correct 332 ms 21980 KB Output is correct
29 Correct 339 ms 22116 KB Output is correct
30 Correct 350 ms 22372 KB Output is correct

Subtask #4
11.0 / 11.0

# Verdict Execution time Memory Grader output
1 Correct 435 ms 15908 KB Output is correct
2 Correct 442 ms 25700 KB Output is correct
3 Correct 442 ms 25700 KB Output is correct
4 Correct 446 ms 25700 KB Output is correct
5 Correct 440 ms 25692 KB Output is correct
6 Correct 443 ms 25688 KB Output is correct
7 Correct 443 ms 25828 KB Output is correct
8 Correct 441 ms 25700 KB Output is correct
9 Correct 444 ms 25700 KB Output is correct
10 Correct 442 ms 25700 KB Output is correct

Subtask #5
14.0 / 14.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 364 KB Output is correct
2 Correct 0 ms 364 KB Output is correct
3 Correct 0 ms 364 KB Output is correct
4 Correct 0 ms 364 KB Output is correct
5 Correct 0 ms 364 KB Output is correct
6 Correct 0 ms 364 KB Output is correct
7 Correct 0 ms 364 KB Output is correct
8 Correct 0 ms 364 KB Output is correct
9 Correct 1 ms 364 KB Output is correct
10 Correct 0 ms 364 KB Output is correct
11 Correct 0 ms 364 KB Output is correct
12 Correct 0 ms 364 KB Output is correct
13 Correct 1 ms 364 KB Output is correct
14 Correct 0 ms 364 KB Output is correct
15 Correct 1 ms 364 KB Output is correct
16 Correct 1 ms 364 KB Output is correct
17 Correct 1 ms 364 KB Output is correct
18 Correct 1 ms 364 KB Output is correct
19 Correct 1 ms 512 KB Output is correct
20 Correct 1 ms 364 KB Output is correct
21 Correct 1 ms 364 KB Output is correct
22 Correct 2 ms 364 KB Output is correct
23 Correct 1 ms 364 KB Output is correct
24 Correct 2 ms 364 KB Output is correct
25 Correct 1 ms 364 KB Output is correct
26 Correct 1 ms 364 KB Output is correct
27 Correct 1 ms 364 KB Output is correct
28 Correct 1 ms 364 KB Output is correct
29 Correct 1 ms 364 KB Output is correct
30 Correct 1 ms 364 KB Output is correct
31 Correct 1 ms 364 KB Output is correct
32 Correct 1 ms 364 KB Output is correct
33 Correct 1 ms 364 KB Output is correct
34 Correct 1 ms 364 KB Output is correct
35 Correct 1 ms 364 KB Output is correct
36 Correct 1 ms 364 KB Output is correct
37 Correct 1 ms 364 KB Output is correct
38 Correct 1 ms 364 KB Output is correct
39 Correct 1 ms 364 KB Output is correct
40 Correct 1 ms 364 KB Output is correct
41 Correct 1 ms 364 KB Output is correct
42 Correct 1 ms 364 KB Output is correct
43 Correct 1 ms 364 KB Output is correct
44 Correct 1 ms 364 KB Output is correct
45 Correct 1 ms 364 KB Output is correct
46 Correct 1 ms 364 KB Output is correct
47 Correct 1 ms 364 KB Output is correct
48 Correct 1 ms 364 KB Output is correct
49 Correct 1 ms 364 KB Output is correct
50 Correct 1 ms 364 KB Output is correct

Subtask #6
28.0 / 28.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 364 KB Output is correct
2 Correct 0 ms 364 KB Output is correct
3 Correct 0 ms 364 KB Output is correct
4 Correct 0 ms 364 KB Output is correct
5 Correct 0 ms 364 KB Output is correct
6 Correct 0 ms 364 KB Output is correct
7 Correct 0 ms 364 KB Output is correct
8 Correct 0 ms 364 KB Output is correct
9 Correct 1 ms 364 KB Output is correct
10 Correct 0 ms 364 KB Output is correct
11 Correct 0 ms 364 KB Output is correct
12 Correct 0 ms 364 KB Output is correct
13 Correct 1 ms 364 KB Output is correct
14 Correct 0 ms 364 KB Output is correct
15 Correct 1 ms 364 KB Output is correct
16 Correct 1 ms 364 KB Output is correct
17 Correct 1 ms 364 KB Output is correct
18 Correct 1 ms 364 KB Output is correct
19 Correct 1 ms 512 KB Output is correct
20 Correct 1 ms 364 KB Output is correct
21 Correct 1 ms 364 KB Output is correct
22 Correct 2 ms 364 KB Output is correct
23 Correct 1 ms 364 KB Output is correct
24 Correct 2 ms 364 KB Output is correct
25 Correct 1 ms 364 KB Output is correct
26 Correct 1 ms 364 KB Output is correct
27 Correct 1 ms 364 KB Output is correct
28 Correct 1 ms 364 KB Output is correct
29 Correct 1 ms 364 KB Output is correct
30 Correct 304 ms 16100 KB Output is correct
31 Correct 330 ms 21936 KB Output is correct
32 Correct 280 ms 20524 KB Output is correct
33 Correct 327 ms 21860 KB Output is correct
34 Correct 326 ms 21732 KB Output is correct
35 Correct 332 ms 21732 KB Output is correct
36 Correct 315 ms 21364 KB Output is correct
37 Correct 350 ms 22372 KB Output is correct
38 Correct 332 ms 21984 KB Output is correct
39 Correct 345 ms 22452 KB Output is correct
40 Correct 363 ms 22756 KB Output is correct
41 Correct 302 ms 21092 KB Output is correct
42 Correct 332 ms 21980 KB Output is correct
43 Correct 339 ms 22116 KB Output is correct
44 Correct 350 ms 22372 KB Output is correct
45 Correct 435 ms 15908 KB Output is correct
46 Correct 442 ms 25700 KB Output is correct
47 Correct 442 ms 25700 KB Output is correct
48 Correct 446 ms 25700 KB Output is correct
49 Correct 440 ms 25692 KB Output is correct
50 Correct 443 ms 25688 KB Output is correct
51 Correct 443 ms 25828 KB Output is correct
52 Correct 441 ms 25700 KB Output is correct
53 Correct 444 ms 25700 KB Output is correct
54 Correct 442 ms 25700 KB Output is correct
55 Correct 1 ms 364 KB Output is correct
56 Correct 1 ms 364 KB Output is correct
57 Correct 1 ms 364 KB Output is correct
58 Correct 1 ms 364 KB Output is correct
59 Correct 1 ms 364 KB Output is correct
60 Correct 1 ms 364 KB Output is correct
61 Correct 1 ms 364 KB Output is correct
62 Correct 1 ms 364 KB Output is correct
63 Correct 1 ms 364 KB Output is correct
64 Correct 1 ms 364 KB Output is correct
65 Correct 1 ms 364 KB Output is correct
66 Correct 1 ms 364 KB Output is correct
67 Correct 1 ms 364 KB Output is correct
68 Correct 1 ms 364 KB Output is correct
69 Correct 1 ms 364 KB Output is correct
70 Correct 1 ms 364 KB Output is correct
71 Correct 1 ms 364 KB Output is correct
72 Correct 1 ms 364 KB Output is correct
73 Correct 1 ms 364 KB Output is correct
74 Correct 1 ms 364 KB Output is correct
75 Correct 1 ms 364 KB Output is correct
76 Correct 334 ms 22116 KB Output is correct
77 Correct 324 ms 21988 KB Output is correct
78 Correct 308 ms 21476 KB Output is correct
79 Correct 316 ms 21732 KB Output is correct
80 Correct 339 ms 22372 KB Output is correct
81 Correct 311 ms 21472 KB Output is correct
82 Correct 311 ms 21476 KB Output is correct
83 Correct 328 ms 21988 KB Output is correct
84 Correct 323 ms 21892 KB Output is correct
85 Correct 332 ms 21988 KB Output is correct
86 Correct 310 ms 21604 KB Output is correct
87 Correct 311 ms 21360 KB Output is correct
88 Correct 321 ms 22008 KB Output is correct
89 Correct 310 ms 21476 KB Output is correct
90 Correct 315 ms 21520 KB Output is correct
91 Correct 317 ms 21476 KB Output is correct
92 Correct 396 ms 22652 KB Output is correct
93 Correct 326 ms 21860 KB Output is correct
94 Correct 292 ms 21092 KB Output is correct
95 Correct 337 ms 22500 KB Output is correct
96 Correct 303 ms 21348 KB Output is correct
97 Correct 317 ms 21860 KB Output is correct
98 Correct 323 ms 21860 KB Output is correct
99 Correct 312 ms 21604 KB Output is correct
100 Correct 313 ms 21604 KB Output is correct