#include<bits/stdc++.h>
using namespace std;
#define ll long long
#define pll pair<ll,ll>
ll slope(pll x, pll y){
if(x.first<y.first){
swap(x,y);
}
return(y.second-x.second)/(x.first-y.first);
}
int main(){
ios_base::sync_with_stdio(false);
//freopen("input.txt", "r", stdin);
int n;
cin >> n;
vector<ll> v(n+5), dp(n+5);
vector<pair<ll,ll>> q;
for(int i = 1; i <= n; i++){
cin >> v[i];
v[i] = max(v[i], v[i-1]);
}
q.emplace_back(n,0);
int idx=0;
for(int i = 1; i <= n; i++){
dp[i] = (ll)1e9;
if(v[i]==v[i+1]) continue;
while(idx+1 < (int)q.size() and slope(q[idx],q[idx+1]) < v[i]){
idx++;
}
dp[i] = q[idx].second + q[idx].first * v[i];
while(q.size() > 1 and slope(q[q.size()-2], q[q.size()-1]) >= slope(q[q.size()-1], make_pair((ll)n-i, (ll)dp[i]))){
q.pop_back();
}
q.emplace_back(n - i, dp[i]);
}
cout << dp[n] << '\n';
}
| # |
결과 |
실행 시간 |
메모리 |
Grader output |
| 1 |
Correct |
1 ms |
364 KB |
Output is correct |
| 2 |
Correct |
0 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 |
0 ms |
364 KB |
Output is correct |
| 6 |
Correct |
1 ms |
364 KB |
Output is correct |
| 7 |
Correct |
1 ms |
364 KB |
Output is correct |
| 8 |
Correct |
1 ms |
268 KB |
Output is correct |
| 9 |
Correct |
0 ms |
364 KB |
Output is correct |
| 10 |
Correct |
0 ms |
364 KB |
Output is correct |
| 11 |
Correct |
1 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 |
1 ms |
364 KB |
Output is correct |
| # |
결과 |
실행 시간 |
메모리 |
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 |
364 KB |
Output is correct |
| 6 |
Correct |
1 ms |
364 KB |
Output is correct |
| 7 |
Correct |
1 ms |
364 KB |
Output is correct |
| 8 |
Correct |
1 ms |
364 KB |
Output is correct |
| 9 |
Correct |
1 ms |
364 KB |
Output is correct |
| 10 |
Correct |
1 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 |
| # |
결과 |
실행 시간 |
메모리 |
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 |
364 KB |
Output is correct |
| 6 |
Correct |
1 ms |
364 KB |
Output is correct |
| 7 |
Correct |
1 ms |
364 KB |
Output is correct |
| 8 |
Correct |
1 ms |
364 KB |
Output is correct |
| 9 |
Correct |
1 ms |
364 KB |
Output is correct |
| 10 |
Correct |
1 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 |
131 ms |
16484 KB |
Output is correct |
| 17 |
Correct |
127 ms |
16356 KB |
Output is correct |
| 18 |
Correct |
107 ms |
16228 KB |
Output is correct |
| 19 |
Correct |
124 ms |
16228 KB |
Output is correct |
| 20 |
Correct |
126 ms |
16228 KB |
Output is correct |
| 21 |
Correct |
126 ms |
16392 KB |
Output is correct |
| 22 |
Correct |
131 ms |
16356 KB |
Output is correct |
| 23 |
Correct |
155 ms |
16224 KB |
Output is correct |
| 24 |
Correct |
130 ms |
16228 KB |
Output is correct |
| 25 |
Correct |
138 ms |
16228 KB |
Output is correct |
| 26 |
Correct |
154 ms |
16356 KB |
Output is correct |
| 27 |
Correct |
115 ms |
16356 KB |
Output is correct |
| 28 |
Correct |
127 ms |
16288 KB |
Output is correct |
| 29 |
Correct |
130 ms |
16356 KB |
Output is correct |
| 30 |
Correct |
136 ms |
16232 KB |
Output is correct |
| # |
결과 |
실행 시간 |
메모리 |
Grader output |
| 1 |
Correct |
127 ms |
16100 KB |
Output is correct |
| 2 |
Correct |
124 ms |
15980 KB |
Output is correct |
| 3 |
Correct |
126 ms |
15980 KB |
Output is correct |
| 4 |
Correct |
128 ms |
15980 KB |
Output is correct |
| 5 |
Correct |
127 ms |
16104 KB |
Output is correct |
| 6 |
Correct |
124 ms |
16100 KB |
Output is correct |
| 7 |
Correct |
128 ms |
15980 KB |
Output is correct |
| 8 |
Correct |
126 ms |
16100 KB |
Output is correct |
| 9 |
Correct |
126 ms |
16128 KB |
Output is correct |
| 10 |
Correct |
126 ms |
15980 KB |
Output is correct |
| # |
결과 |
실행 시간 |
메모리 |
Grader output |
| 1 |
Correct |
1 ms |
364 KB |
Output is correct |
| 2 |
Correct |
0 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 |
0 ms |
364 KB |
Output is correct |
| 6 |
Correct |
1 ms |
364 KB |
Output is correct |
| 7 |
Correct |
1 ms |
364 KB |
Output is correct |
| 8 |
Correct |
1 ms |
268 KB |
Output is correct |
| 9 |
Correct |
0 ms |
364 KB |
Output is correct |
| 10 |
Correct |
0 ms |
364 KB |
Output is correct |
| 11 |
Correct |
1 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 |
1 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 |
364 KB |
Output is correct |
| 20 |
Correct |
1 ms |
364 KB |
Output is correct |
| 21 |
Correct |
1 ms |
364 KB |
Output is correct |
| 22 |
Correct |
1 ms |
364 KB |
Output is correct |
| 23 |
Correct |
1 ms |
364 KB |
Output is correct |
| 24 |
Correct |
1 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 |
492 KB |
Output is correct |
| 45 |
Correct |
1 ms |
492 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 |
| # |
결과 |
실행 시간 |
메모리 |
Grader output |
| 1 |
Correct |
1 ms |
364 KB |
Output is correct |
| 2 |
Correct |
0 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 |
0 ms |
364 KB |
Output is correct |
| 6 |
Correct |
1 ms |
364 KB |
Output is correct |
| 7 |
Correct |
1 ms |
364 KB |
Output is correct |
| 8 |
Correct |
1 ms |
268 KB |
Output is correct |
| 9 |
Correct |
0 ms |
364 KB |
Output is correct |
| 10 |
Correct |
0 ms |
364 KB |
Output is correct |
| 11 |
Correct |
1 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 |
1 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 |
364 KB |
Output is correct |
| 20 |
Correct |
1 ms |
364 KB |
Output is correct |
| 21 |
Correct |
1 ms |
364 KB |
Output is correct |
| 22 |
Correct |
1 ms |
364 KB |
Output is correct |
| 23 |
Correct |
1 ms |
364 KB |
Output is correct |
| 24 |
Correct |
1 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 |
131 ms |
16484 KB |
Output is correct |
| 31 |
Correct |
127 ms |
16356 KB |
Output is correct |
| 32 |
Correct |
107 ms |
16228 KB |
Output is correct |
| 33 |
Correct |
124 ms |
16228 KB |
Output is correct |
| 34 |
Correct |
126 ms |
16228 KB |
Output is correct |
| 35 |
Correct |
126 ms |
16392 KB |
Output is correct |
| 36 |
Correct |
131 ms |
16356 KB |
Output is correct |
| 37 |
Correct |
155 ms |
16224 KB |
Output is correct |
| 38 |
Correct |
130 ms |
16228 KB |
Output is correct |
| 39 |
Correct |
138 ms |
16228 KB |
Output is correct |
| 40 |
Correct |
154 ms |
16356 KB |
Output is correct |
| 41 |
Correct |
115 ms |
16356 KB |
Output is correct |
| 42 |
Correct |
127 ms |
16288 KB |
Output is correct |
| 43 |
Correct |
130 ms |
16356 KB |
Output is correct |
| 44 |
Correct |
136 ms |
16232 KB |
Output is correct |
| 45 |
Correct |
127 ms |
16100 KB |
Output is correct |
| 46 |
Correct |
124 ms |
15980 KB |
Output is correct |
| 47 |
Correct |
126 ms |
15980 KB |
Output is correct |
| 48 |
Correct |
128 ms |
15980 KB |
Output is correct |
| 49 |
Correct |
127 ms |
16104 KB |
Output is correct |
| 50 |
Correct |
124 ms |
16100 KB |
Output is correct |
| 51 |
Correct |
128 ms |
15980 KB |
Output is correct |
| 52 |
Correct |
126 ms |
16100 KB |
Output is correct |
| 53 |
Correct |
126 ms |
16128 KB |
Output is correct |
| 54 |
Correct |
126 ms |
15980 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 |
492 KB |
Output is correct |
| 70 |
Correct |
1 ms |
492 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 |
107 ms |
16224 KB |
Output is correct |
| 77 |
Correct |
109 ms |
16228 KB |
Output is correct |
| 78 |
Correct |
104 ms |
16356 KB |
Output is correct |
| 79 |
Correct |
110 ms |
16224 KB |
Output is correct |
| 80 |
Correct |
127 ms |
16228 KB |
Output is correct |
| 81 |
Correct |
105 ms |
16356 KB |
Output is correct |
| 82 |
Correct |
104 ms |
16228 KB |
Output is correct |
| 83 |
Correct |
107 ms |
16224 KB |
Output is correct |
| 84 |
Correct |
110 ms |
16352 KB |
Output is correct |
| 85 |
Correct |
111 ms |
16384 KB |
Output is correct |
| 86 |
Correct |
103 ms |
16228 KB |
Output is correct |
| 87 |
Correct |
118 ms |
16356 KB |
Output is correct |
| 88 |
Correct |
105 ms |
16224 KB |
Output is correct |
| 89 |
Correct |
106 ms |
16356 KB |
Output is correct |
| 90 |
Correct |
106 ms |
16356 KB |
Output is correct |
| 91 |
Correct |
115 ms |
16228 KB |
Output is correct |
| 92 |
Correct |
153 ms |
16356 KB |
Output is correct |
| 93 |
Correct |
146 ms |
16280 KB |
Output is correct |
| 94 |
Correct |
103 ms |
16228 KB |
Output is correct |
| 95 |
Correct |
110 ms |
16228 KB |
Output is correct |
| 96 |
Correct |
107 ms |
16276 KB |
Output is correct |
| 97 |
Correct |
107 ms |
16228 KB |
Output is correct |
| 98 |
Correct |
108 ms |
16284 KB |
Output is correct |
| 99 |
Correct |
103 ms |
16356 KB |
Output is correct |
| 100 |
Correct |
105 ms |
16356 KB |
Output is correct |
