Submission #285146

# Submission time Handle Problem Language Result Execution time Memory
285146 2020-08-28T11:14:18 Z 3zp Discharging (NOI20_discharging) C++14
100 / 100
144 ms 38264 KB
#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