#include<bits/stdc++.h>
#define ll long long
using namespace std;
ll t[1000009],dp[1000009],Next[1000009],Prev[1000009];
stack<ll> S;
void rem(ll i){
Next[Prev[i]] = Next[i];
Prev[Next[i]] = Prev[i];
}
void ad(ll i){
if(S.size() && t[S.top()] == t[i]) {rem(i); return;}
while(S.size() >= 2){
ll j = S.top(); S.pop();
ll k = S.top();
if(1.0*(dp[i+1] - dp[j+1]) * (t[k] - t[i]) <= 1.0*(dp[i+1] - dp[k+1]) * (t[j] - t[i])){
rem(j);
continue;
}
S.push(j);
break;
}
S.push(i);
}
ll cnt(ll i, ll x){
return x * t[i]+ dp[i+1];
}
main(){
ios_base::sync_with_stdio(false);
cin.tie(0);
ll n;
cin>>n;
for(ll i = 1;i <= n;i++){
cin >> t[i];
t[i] = max(t[i], t[i-1]);
Next[i] = i+1;
Prev[i] = i-1;
}
dp[n] = t[n];
ad(n);
ll j = n;
ll u = 1;
for(ll i = n-1; i >= 1; i--){
u++;
ad(i);
while(Prev[j] >= i && cnt(j, u) >= cnt(Prev[j], u))
j = Prev[j];
dp[i] = cnt(j, u);
}
cout<<dp[1]<<endl;
}
Compilation message
Discharging.cpp:28:6: warning: ISO C++ forbids declaration of 'main' with no type [-Wreturn-type]
28 | main(){
| ^
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
0 ms |
384 KB |
Output is correct |
2 |
Correct |
0 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 |
0 ms |
384 KB |
Output is correct |
6 |
Correct |
0 ms |
384 KB |
Output is correct |
7 |
Correct |
0 ms |
384 KB |
Output is correct |
8 |
Correct |
0 ms |
384 KB |
Output is correct |
9 |
Correct |
0 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 |
0 ms |
384 KB |
Output is correct |
14 |
Correct |
0 ms |
384 KB |
Output is correct |
# |
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 |
1 ms |
384 KB |
Output is correct |
13 |
Correct |
1 ms |
384 KB |
Output is correct |
14 |
Correct |
1 ms |
384 KB |
Output is correct |
15 |
Correct |
1 ms |
384 KB |
Output is correct |
# |
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 |
1 ms |
384 KB |
Output is correct |
13 |
Correct |
1 ms |
384 KB |
Output is correct |
14 |
Correct |
1 ms |
384 KB |
Output is correct |
15 |
Correct |
1 ms |
384 KB |
Output is correct |
16 |
Correct |
118 ms |
33268 KB |
Output is correct |
17 |
Correct |
122 ms |
37496 KB |
Output is correct |
18 |
Correct |
115 ms |
36088 KB |
Output is correct |
19 |
Correct |
123 ms |
37368 KB |
Output is correct |
20 |
Correct |
124 ms |
37240 KB |
Output is correct |
21 |
Correct |
124 ms |
37368 KB |
Output is correct |
22 |
Correct |
121 ms |
36984 KB |
Output is correct |
23 |
Correct |
128 ms |
38008 KB |
Output is correct |
24 |
Correct |
126 ms |
37496 KB |
Output is correct |
25 |
Correct |
126 ms |
37884 KB |
Output is correct |
26 |
Correct |
134 ms |
38264 KB |
Output is correct |
27 |
Correct |
124 ms |
36728 KB |
Output is correct |
28 |
Correct |
121 ms |
37624 KB |
Output is correct |
29 |
Correct |
127 ms |
37752 KB |
Output is correct |
30 |
Correct |
126 ms |
38008 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
136 ms |
31608 KB |
Output is correct |
2 |
Correct |
131 ms |
31608 KB |
Output is correct |
3 |
Correct |
144 ms |
31584 KB |
Output is correct |
4 |
Correct |
131 ms |
31684 KB |
Output is correct |
5 |
Correct |
131 ms |
31608 KB |
Output is correct |
6 |
Correct |
129 ms |
31608 KB |
Output is correct |
7 |
Correct |
132 ms |
31608 KB |
Output is correct |
8 |
Correct |
134 ms |
31608 KB |
Output is correct |
9 |
Correct |
132 ms |
31608 KB |
Output is correct |
10 |
Correct |
130 ms |
31608 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
0 ms |
384 KB |
Output is correct |
2 |
Correct |
0 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 |
0 ms |
384 KB |
Output is correct |
6 |
Correct |
0 ms |
384 KB |
Output is correct |
7 |
Correct |
0 ms |
384 KB |
Output is correct |
8 |
Correct |
0 ms |
384 KB |
Output is correct |
9 |
Correct |
0 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 |
0 ms |
384 KB |
Output is correct |
14 |
Correct |
0 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 |
1 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 |
384 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 |
416 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 |
1 ms |
384 KB |
Output is correct |
45 |
Correct |
1 ms |
384 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 |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
0 ms |
384 KB |
Output is correct |
2 |
Correct |
0 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 |
0 ms |
384 KB |
Output is correct |
6 |
Correct |
0 ms |
384 KB |
Output is correct |
7 |
Correct |
0 ms |
384 KB |
Output is correct |
8 |
Correct |
0 ms |
384 KB |
Output is correct |
9 |
Correct |
0 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 |
0 ms |
384 KB |
Output is correct |
14 |
Correct |
0 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 |
1 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 |
384 KB |
Output is correct |
29 |
Correct |
1 ms |
384 KB |
Output is correct |
30 |
Correct |
118 ms |
33268 KB |
Output is correct |
31 |
Correct |
122 ms |
37496 KB |
Output is correct |
32 |
Correct |
115 ms |
36088 KB |
Output is correct |
33 |
Correct |
123 ms |
37368 KB |
Output is correct |
34 |
Correct |
124 ms |
37240 KB |
Output is correct |
35 |
Correct |
124 ms |
37368 KB |
Output is correct |
36 |
Correct |
121 ms |
36984 KB |
Output is correct |
37 |
Correct |
128 ms |
38008 KB |
Output is correct |
38 |
Correct |
126 ms |
37496 KB |
Output is correct |
39 |
Correct |
126 ms |
37884 KB |
Output is correct |
40 |
Correct |
134 ms |
38264 KB |
Output is correct |
41 |
Correct |
124 ms |
36728 KB |
Output is correct |
42 |
Correct |
121 ms |
37624 KB |
Output is correct |
43 |
Correct |
127 ms |
37752 KB |
Output is correct |
44 |
Correct |
126 ms |
38008 KB |
Output is correct |
45 |
Correct |
136 ms |
31608 KB |
Output is correct |
46 |
Correct |
131 ms |
31608 KB |
Output is correct |
47 |
Correct |
144 ms |
31584 KB |
Output is correct |
48 |
Correct |
131 ms |
31684 KB |
Output is correct |
49 |
Correct |
131 ms |
31608 KB |
Output is correct |
50 |
Correct |
129 ms |
31608 KB |
Output is correct |
51 |
Correct |
132 ms |
31608 KB |
Output is correct |
52 |
Correct |
134 ms |
31608 KB |
Output is correct |
53 |
Correct |
132 ms |
31608 KB |
Output is correct |
54 |
Correct |
130 ms |
31608 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 |
416 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 |
1 ms |
384 KB |
Output is correct |
70 |
Correct |
1 ms |
384 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 |
116 ms |
37644 KB |
Output is correct |
77 |
Correct |
114 ms |
37624 KB |
Output is correct |
78 |
Correct |
109 ms |
37056 KB |
Output is correct |
79 |
Correct |
114 ms |
37368 KB |
Output is correct |
80 |
Correct |
116 ms |
38008 KB |
Output is correct |
81 |
Correct |
111 ms |
37144 KB |
Output is correct |
82 |
Correct |
111 ms |
37112 KB |
Output is correct |
83 |
Correct |
112 ms |
37624 KB |
Output is correct |
84 |
Correct |
113 ms |
37496 KB |
Output is correct |
85 |
Correct |
113 ms |
37752 KB |
Output is correct |
86 |
Correct |
109 ms |
37112 KB |
Output is correct |
87 |
Correct |
113 ms |
36984 KB |
Output is correct |
88 |
Correct |
114 ms |
37368 KB |
Output is correct |
89 |
Correct |
113 ms |
37160 KB |
Output is correct |
90 |
Correct |
110 ms |
37112 KB |
Output is correct |
91 |
Correct |
107 ms |
36856 KB |
Output is correct |
92 |
Correct |
127 ms |
38264 KB |
Output is correct |
93 |
Correct |
121 ms |
37368 KB |
Output is correct |
94 |
Correct |
107 ms |
36600 KB |
Output is correct |
95 |
Correct |
117 ms |
38008 KB |
Output is correct |
96 |
Correct |
110 ms |
36984 KB |
Output is correct |
97 |
Correct |
109 ms |
37240 KB |
Output is correct |
98 |
Correct |
118 ms |
37424 KB |
Output is correct |
99 |
Correct |
132 ms |
37116 KB |
Output is correct |
100 |
Correct |
109 ms |
37112 KB |
Output is correct |