oj.uz

Submission #261330

# Submission time Handle Problem Language Result Execution time Memory
261330 2020-08-11T16:16:46 Z Nightlight Discharging (NOI20_discharging) C++14
100 / 100
 248 ms 30052 KB 
#include <bits/stdc++.h>
#define pii pair<long long, long long>
#define inter second
#define slope first
using namespace std;

int N;
long long A[1000005], ans = LLONG_MAX;
long long T[1000005];
long long pos[1000005];
long long dp[1000005];
pii CHT[100005];
int sz, pointer;
int p;

inline double isect(pii a, pii b) {return (a.inter - b.inter) / (b.slope - a.slope);}
inline bool bad(pii a, pii b, pii c) {return isect(c, a) < isect(a, b);}
inline long long val(long long X, int id) {return CHT[id].slope * X + CHT[id].inter;}

void insert(long long m, long long b) {
  pii L = {m, b};
  while(sz > 1 && bad(CHT[sz - 1], CHT[sz], L)) sz--;
  CHT[++sz] = L;
}

long long query(long long X) {
  long long res = LLONG_MAX;
//  cout << X << "\n";
  for(int i = 1; i <= sz; i++) {
    res = min(res, val(X, i));
//    cout << CHT[i].first << ": " << val(X, i) << "\n";
  }
//  cout << "\n";
  return res;
}

int main() {
  scanf("%d", &N);
  for(int i = 1; i <= N; i++) {
    scanf("%lld", &T[i]);
    if(T[i] > A[p]) {
      A[++p] = T[i];
      pos[p] = i;
    }
  }
  dp[p] = A[p] * (N - pos[p] + 1);
  ans = A[p] * N;
  insert(A[p], dp[p] + A[p] * pos[p]);
  for(int i = p - 1; i > 0; i--) {
    dp[i] = A[i] * (N - pos[i] + 1) + query(-pos[i + 1]);
    insert(A[i], dp[i] + A[i] * pos[i]);
    ans = min(ans, dp[i] + A[i] * (pos[i] - 1));    
  }
  printf("%lld\n", ans);
  cin >> N;
}

Compilation message

Discharging.cpp: In function 'int main()':
Discharging.cpp:38:8: warning: ignoring return value of 'int scanf(const char*, ...)', declared with attribute warn_unused_result [-Wunused-result]
   scanf("%d", &N);
   ~~~~~^~~~~~~~~~
Discharging.cpp:40:10: warning: ignoring return value of 'int scanf(const char*, ...)', declared with attribute warn_unused_result [-Wunused-result]
     scanf("%lld", &T[i]);
     ~~~~~^~~~~~~~~~~~~~~

Subtask #1
9.0 / 9.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 384 KB Output is correct
2 Correct 1 ms 384 KB Output is correct
3 Correct 1 ms 384 KB Output is correct
4 Correct 1 ms 384 KB Output is correct
5 Correct 1 ms 384 KB Output is correct
6 Correct 1 ms 384 KB Output is correct
7 Correct 1 ms 384 KB Output is correct
8 Correct 1 ms 384 KB Output is correct
9 Correct 1 ms 384 KB Output is correct
10 Correct 1 ms 384 KB Output is correct
11 Correct 1 ms 384 KB Output is correct
12 Correct 0 ms 384 KB Output is correct
13 Correct 1 ms 372 KB Output is correct
14 Correct 1 ms 384 KB Output is correct

Subtask #2
13.0 / 13.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 384 KB Output is correct
2 Correct 1 ms 384 KB Output is correct
3 Correct 1 ms 384 KB Output is correct
4 Correct 1 ms 384 KB Output is correct
5 Correct 1 ms 384 KB Output is correct
6 Correct 1 ms 384 KB Output is correct
7 Correct 1 ms 384 KB Output is correct
8 Correct 1 ms 384 KB Output is correct
9 Correct 1 ms 384 KB Output is correct
10 Correct 1 ms 384 KB Output is correct
11 Correct 2 ms 384 KB Output is correct
12 Correct 1 ms 384 KB Output is correct
13 Correct 1 ms 384 KB Output is correct
14 Correct 1 ms 432 KB Output is correct
15 Correct 1 ms 384 KB Output is correct

Subtask #3
25.0 / 25.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 384 KB Output is correct
2 Correct 1 ms 384 KB Output is correct
3 Correct 1 ms 384 KB Output is correct
4 Correct 1 ms 384 KB Output is correct
5 Correct 1 ms 384 KB Output is correct
6 Correct 1 ms 384 KB Output is correct
7 Correct 1 ms 384 KB Output is correct
8 Correct 1 ms 384 KB Output is correct
9 Correct 1 ms 384 KB Output is correct
10 Correct 1 ms 384 KB Output is correct
11 Correct 2 ms 384 KB Output is correct
12 Correct 1 ms 384 KB Output is correct
13 Correct 1 ms 384 KB Output is correct
14 Correct 1 ms 432 KB Output is correct
15 Correct 1 ms 384 KB Output is correct
16 Correct 234 ms 22484 KB Output is correct
17 Correct 187 ms 24572 KB Output is correct
18 Correct 160 ms 19192 KB Output is correct
19 Correct 201 ms 24444 KB Output is correct
20 Correct 234 ms 25428 KB Output is correct
21 Correct 222 ms 24500 KB Output is correct
22 Correct 200 ms 23160 KB Output is correct
23 Correct 220 ms 28664 KB Output is correct
24 Correct 200 ms 26616 KB Output is correct
25 Correct 216 ms 26920 KB Output is correct
26 Correct 224 ms 30052 KB Output is correct
27 Correct 206 ms 21472 KB Output is correct
28 Correct 206 ms 25080 KB Output is correct
29 Correct 214 ms 27128 KB Output is correct
30 Correct 231 ms 29176 KB Output is correct

Subtask #4
11.0 / 11.0

# Verdict Execution time Memory Grader output
1 Correct 177 ms 17952 KB Output is correct
2 Correct 172 ms 17784 KB Output is correct
3 Correct 205 ms 17800 KB Output is correct
4 Correct 173 ms 17880 KB Output is correct
5 Correct 168 ms 17860 KB Output is correct
6 Correct 189 ms 17792 KB Output is correct
7 Correct 188 ms 17760 KB Output is correct
8 Correct 180 ms 17808 KB Output is correct
9 Correct 175 ms 17780 KB Output is correct
10 Correct 185 ms 17772 KB Output is correct

Subtask #5
14.0 / 14.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 384 KB Output is correct
2 Correct 1 ms 384 KB Output is correct
3 Correct 1 ms 384 KB Output is correct
4 Correct 1 ms 384 KB Output is correct
5 Correct 1 ms 384 KB Output is correct
6 Correct 1 ms 384 KB Output is correct
7 Correct 1 ms 384 KB Output is correct
8 Correct 1 ms 384 KB Output is correct
9 Correct 1 ms 384 KB Output is correct
10 Correct 1 ms 384 KB Output is correct
11 Correct 1 ms 384 KB Output is correct
12 Correct 0 ms 384 KB Output is correct
13 Correct 1 ms 372 KB Output is correct
14 Correct 1 ms 384 KB Output is correct
15 Correct 1 ms 384 KB Output is correct
16 Correct 1 ms 384 KB Output is correct
17 Correct 1 ms 384 KB Output is correct
18 Correct 1 ms 384 KB Output is correct
19 Correct 1 ms 384 KB Output is correct
20 Correct 1 ms 384 KB Output is correct
21 Correct 1 ms 384 KB Output is correct
22 Correct 1 ms 384 KB Output is correct
23 Correct 1 ms 384 KB Output is correct
24 Correct 1 ms 384 KB Output is correct
25 Correct 2 ms 384 KB Output is correct
26 Correct 1 ms 384 KB Output is correct
27 Correct 1 ms 384 KB Output is correct
28 Correct 1 ms 432 KB Output is correct
29 Correct 1 ms 384 KB Output is correct
30 Correct 1 ms 384 KB Output is correct
31 Correct 1 ms 384 KB Output is correct
32 Correct 1 ms 384 KB Output is correct
33 Correct 1 ms 384 KB Output is correct
34 Correct 1 ms 384 KB Output is correct
35 Correct 1 ms 384 KB Output is correct
36 Correct 1 ms 384 KB Output is correct
37 Correct 1 ms 384 KB Output is correct
38 Correct 1 ms 384 KB Output is correct
39 Correct 1 ms 384 KB Output is correct
40 Correct 1 ms 384 KB Output is correct
41 Correct 1 ms 384 KB Output is correct
42 Correct 1 ms 384 KB Output is correct
43 Correct 1 ms 384 KB Output is correct
44 Correct 2 ms 384 KB Output is correct
45 Correct 2 ms 416 KB Output is correct
46 Correct 1 ms 384 KB Output is correct
47 Correct 1 ms 384 KB Output is correct
48 Correct 1 ms 384 KB Output is correct
49 Correct 1 ms 384 KB Output is correct
50 Correct 1 ms 384 KB Output is correct

Subtask #6
28.0 / 28.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 384 KB Output is correct
2 Correct 1 ms 384 KB Output is correct
3 Correct 1 ms 384 KB Output is correct
4 Correct 1 ms 384 KB Output is correct
5 Correct 1 ms 384 KB Output is correct
6 Correct 1 ms 384 KB Output is correct
7 Correct 1 ms 384 KB Output is correct
8 Correct 1 ms 384 KB Output is correct
9 Correct 1 ms 384 KB Output is correct
10 Correct 1 ms 384 KB Output is correct
11 Correct 1 ms 384 KB Output is correct
12 Correct 0 ms 384 KB Output is correct
13 Correct 1 ms 372 KB Output is correct
14 Correct 1 ms 384 KB Output is correct
15 Correct 1 ms 384 KB Output is correct
16 Correct 1 ms 384 KB Output is correct
17 Correct 1 ms 384 KB Output is correct
18 Correct 1 ms 384 KB Output is correct
19 Correct 1 ms 384 KB Output is correct
20 Correct 1 ms 384 KB Output is correct
21 Correct 1 ms 384 KB Output is correct
22 Correct 1 ms 384 KB Output is correct
23 Correct 1 ms 384 KB Output is correct
24 Correct 1 ms 384 KB Output is correct
25 Correct 2 ms 384 KB Output is correct
26 Correct 1 ms 384 KB Output is correct
27 Correct 1 ms 384 KB Output is correct
28 Correct 1 ms 432 KB Output is correct
29 Correct 1 ms 384 KB Output is correct
30 Correct 234 ms 22484 KB Output is correct
31 Correct 187 ms 24572 KB Output is correct
32 Correct 160 ms 19192 KB Output is correct
33 Correct 201 ms 24444 KB Output is correct
34 Correct 234 ms 25428 KB Output is correct
35 Correct 222 ms 24500 KB Output is correct
36 Correct 200 ms 23160 KB Output is correct
37 Correct 220 ms 28664 KB Output is correct
38 Correct 200 ms 26616 KB Output is correct
39 Correct 216 ms 26920 KB Output is correct
40 Correct 224 ms 30052 KB Output is correct
41 Correct 206 ms 21472 KB Output is correct
42 Correct 206 ms 25080 KB Output is correct
43 Correct 214 ms 27128 KB Output is correct
44 Correct 231 ms 29176 KB Output is correct
45 Correct 177 ms 17952 KB Output is correct
46 Correct 172 ms 17784 KB Output is correct
47 Correct 205 ms 17800 KB Output is correct
48 Correct 173 ms 17880 KB Output is correct
49 Correct 168 ms 17860 KB Output is correct
50 Correct 189 ms 17792 KB Output is correct
51 Correct 188 ms 17760 KB Output is correct
52 Correct 180 ms 17808 KB Output is correct
53 Correct 175 ms 17780 KB Output is correct
54 Correct 185 ms 17772 KB Output is correct
55 Correct 1 ms 384 KB Output is correct
56 Correct 1 ms 384 KB Output is correct
57 Correct 1 ms 384 KB Output is correct
58 Correct 1 ms 384 KB Output is correct
59 Correct 1 ms 384 KB Output is correct
60 Correct 1 ms 384 KB Output is correct
61 Correct 1 ms 384 KB Output is correct
62 Correct 1 ms 384 KB Output is correct
63 Correct 1 ms 384 KB Output is correct
64 Correct 1 ms 384 KB Output is correct
65 Correct 1 ms 384 KB Output is correct
66 Correct 1 ms 384 KB Output is correct
67 Correct 1 ms 384 KB Output is correct
68 Correct 1 ms 384 KB Output is correct
69 Correct 2 ms 384 KB Output is correct
70 Correct 2 ms 416 KB Output is correct
71 Correct 1 ms 384 KB Output is correct
72 Correct 1 ms 384 KB Output is correct
73 Correct 1 ms 384 KB Output is correct
74 Correct 1 ms 384 KB Output is correct
75 Correct 1 ms 384 KB Output is correct
76 Correct 201 ms 14200 KB Output is correct
77 Correct 228 ms 14200 KB Output is correct
78 Correct 213 ms 13580 KB Output is correct
79 Correct 164 ms 13844 KB Output is correct
80 Correct 238 ms 14532 KB Output is correct
81 Correct 174 ms 13692 KB Output is correct
82 Correct 146 ms 13728 KB Output is correct
83 Correct 168 ms 14156 KB Output is correct
84 Correct 163 ms 14008 KB Output is correct
85 Correct 165 ms 14200 KB Output is correct
86 Correct 147 ms 13668 KB Output is correct
87 Correct 146 ms 13560 KB Output is correct
88 Correct 174 ms 13860 KB Output is correct
89 Correct 171 ms 13692 KB Output is correct
90 Correct 173 ms 13668 KB Output is correct
91 Correct 196 ms 13348 KB Output is correct
92 Correct 232 ms 26876 KB Output is correct
93 Correct 248 ms 24704 KB Output is correct
94 Correct 167 ms 13056 KB Output is correct
95 Correct 173 ms 14464 KB Output is correct
96 Correct 165 ms 13432 KB Output is correct
97 Correct 187 ms 13808 KB Output is correct
98 Correct 205 ms 13944 KB Output is correct
99 Correct 144 ms 13560 KB Output is correct
100 Correct 156 ms 13728 KB Output is correct