#include <bits/stdc++.h>
using namespace std;
using ll = long long;
#define MAXN (1000005)
struct ConvexHull {
deque<pair<ll,ll> > dq;
ll f(pair<ll,ll> line,ll x){
return line.first * x + line.second;
}
ll query(ll x){
while(dq.size() > 1){
if(f(dq[0],x) < f(dq[1],x)){
dq.pop_front();
}else{
break;
}
}
return f(dq[0],x);
}
long double Intersect(ll a,ll b,ll c,ll d){
return (long double)(d - b) / (a - c);
}
long double intersect(pair<ll,ll> p1,pair<ll,ll> p2){
return Intersect(p1.first,p1.second,p2.first,p2.second);
}
void ins(ll m,ll c){
pair<ll,ll> line = make_pair(m,c);
while(dq.size() > 1){
ll s = dq.size();
if(intersect(dq[s - 1],line) <= intersect(dq[s - 2],line)){
dq.pop_back();
}else{
break;
}
}
dq.push_back(line);
}
} CH; //returns maximum y
int main() {
ios_base::sync_with_stdio(false);cin.tie(0);
ll N;
cin>>N;
ll T[N + 1];
for(ll i = 1;i <= N;i++){
cin>>T[i];
}
T[0] = 0;
ll premaxT[N + 1];
premaxT[0] = 0;
for(ll i = 1;i <= N;i++){
premaxT[i] = max(premaxT[i - 1],T[i]);
}
ll dp[N + 1];
dp[0] = 0;
CH.dq.clear();
CH.ins(-N,0);
for(ll i = 1;i <= N;i++){
if(premaxT[i - 1] < T[i]){
dp[i] = -CH.query(T[i]);
ll ptr = i;
while(ptr < N && T[ptr] <= T[i]){
ptr++;
}
CH.ins(ptr - N - 1,-dp[i]);
}else{
dp[i] = dp[i - 1];
}
}
cout<<dp[N]<<'\n';
}
| # |
결과 |
실행 시간 |
메모리 |
Grader output |
| 1 |
Correct |
1 ms |
212 KB |
Output is correct |
| 2 |
Correct |
1 ms |
212 KB |
Output is correct |
| 3 |
Correct |
1 ms |
212 KB |
Output is correct |
| 4 |
Correct |
1 ms |
320 KB |
Output is correct |
| 5 |
Correct |
1 ms |
212 KB |
Output is correct |
| 6 |
Correct |
1 ms |
212 KB |
Output is correct |
| 7 |
Correct |
1 ms |
212 KB |
Output is correct |
| 8 |
Correct |
1 ms |
212 KB |
Output is correct |
| 9 |
Correct |
1 ms |
320 KB |
Output is correct |
| 10 |
Correct |
1 ms |
212 KB |
Output is correct |
| 11 |
Correct |
1 ms |
212 KB |
Output is correct |
| 12 |
Correct |
1 ms |
212 KB |
Output is correct |
| 13 |
Correct |
1 ms |
212 KB |
Output is correct |
| 14 |
Correct |
1 ms |
212 KB |
Output is correct |
| # |
결과 |
실행 시간 |
메모리 |
Grader output |
| 1 |
Correct |
1 ms |
340 KB |
Output is correct |
| 2 |
Correct |
1 ms |
324 KB |
Output is correct |
| 3 |
Correct |
1 ms |
324 KB |
Output is correct |
| 4 |
Correct |
1 ms |
324 KB |
Output is correct |
| 5 |
Correct |
1 ms |
340 KB |
Output is correct |
| 6 |
Correct |
1 ms |
340 KB |
Output is correct |
| 7 |
Correct |
1 ms |
340 KB |
Output is correct |
| 8 |
Correct |
1 ms |
336 KB |
Output is correct |
| 9 |
Correct |
1 ms |
340 KB |
Output is correct |
| 10 |
Correct |
1 ms |
424 KB |
Output is correct |
| 11 |
Correct |
1 ms |
340 KB |
Output is correct |
| 12 |
Correct |
1 ms |
340 KB |
Output is correct |
| 13 |
Correct |
1 ms |
340 KB |
Output is correct |
| 14 |
Correct |
1 ms |
340 KB |
Output is correct |
| 15 |
Correct |
1 ms |
340 KB |
Output is correct |
| # |
결과 |
실행 시간 |
메모리 |
Grader output |
| 1 |
Correct |
1 ms |
340 KB |
Output is correct |
| 2 |
Correct |
1 ms |
324 KB |
Output is correct |
| 3 |
Correct |
1 ms |
324 KB |
Output is correct |
| 4 |
Correct |
1 ms |
324 KB |
Output is correct |
| 5 |
Correct |
1 ms |
340 KB |
Output is correct |
| 6 |
Correct |
1 ms |
340 KB |
Output is correct |
| 7 |
Correct |
1 ms |
340 KB |
Output is correct |
| 8 |
Correct |
1 ms |
336 KB |
Output is correct |
| 9 |
Correct |
1 ms |
340 KB |
Output is correct |
| 10 |
Correct |
1 ms |
424 KB |
Output is correct |
| 11 |
Correct |
1 ms |
340 KB |
Output is correct |
| 12 |
Correct |
1 ms |
340 KB |
Output is correct |
| 13 |
Correct |
1 ms |
340 KB |
Output is correct |
| 14 |
Correct |
1 ms |
340 KB |
Output is correct |
| 15 |
Correct |
1 ms |
340 KB |
Output is correct |
| 16 |
Correct |
100 ms |
28840 KB |
Output is correct |
| 17 |
Correct |
99 ms |
29624 KB |
Output is correct |
| 18 |
Correct |
81 ms |
28096 KB |
Output is correct |
| 19 |
Correct |
93 ms |
29488 KB |
Output is correct |
| 20 |
Correct |
106 ms |
29392 KB |
Output is correct |
| 21 |
Correct |
93 ms |
29496 KB |
Output is correct |
| 22 |
Correct |
97 ms |
29104 KB |
Output is correct |
| 23 |
Correct |
114 ms |
30228 KB |
Output is correct |
| 24 |
Correct |
99 ms |
29616 KB |
Output is correct |
| 25 |
Correct |
110 ms |
30012 KB |
Output is correct |
| 26 |
Correct |
116 ms |
30384 KB |
Output is correct |
| 27 |
Correct |
100 ms |
28856 KB |
Output is correct |
| 28 |
Correct |
103 ms |
29644 KB |
Output is correct |
| 29 |
Correct |
106 ms |
29872 KB |
Output is correct |
| 30 |
Correct |
105 ms |
30128 KB |
Output is correct |
| # |
결과 |
실행 시간 |
메모리 |
Grader output |
| 1 |
Correct |
104 ms |
33580 KB |
Output is correct |
| 2 |
Correct |
120 ms |
33336 KB |
Output is correct |
| 3 |
Correct |
138 ms |
33416 KB |
Output is correct |
| 4 |
Correct |
103 ms |
33344 KB |
Output is correct |
| 5 |
Correct |
113 ms |
33464 KB |
Output is correct |
| 6 |
Correct |
128 ms |
33460 KB |
Output is correct |
| 7 |
Correct |
106 ms |
33464 KB |
Output is correct |
| 8 |
Correct |
109 ms |
33340 KB |
Output is correct |
| 9 |
Correct |
130 ms |
33592 KB |
Output is correct |
| 10 |
Correct |
116 ms |
33596 KB |
Output is correct |
| # |
결과 |
실행 시간 |
메모리 |
Grader output |
| 1 |
Correct |
1 ms |
212 KB |
Output is correct |
| 2 |
Correct |
1 ms |
212 KB |
Output is correct |
| 3 |
Correct |
1 ms |
212 KB |
Output is correct |
| 4 |
Correct |
1 ms |
320 KB |
Output is correct |
| 5 |
Correct |
1 ms |
212 KB |
Output is correct |
| 6 |
Correct |
1 ms |
212 KB |
Output is correct |
| 7 |
Correct |
1 ms |
212 KB |
Output is correct |
| 8 |
Correct |
1 ms |
212 KB |
Output is correct |
| 9 |
Correct |
1 ms |
320 KB |
Output is correct |
| 10 |
Correct |
1 ms |
212 KB |
Output is correct |
| 11 |
Correct |
1 ms |
212 KB |
Output is correct |
| 12 |
Correct |
1 ms |
212 KB |
Output is correct |
| 13 |
Correct |
1 ms |
212 KB |
Output is correct |
| 14 |
Correct |
1 ms |
212 KB |
Output is correct |
| 15 |
Correct |
1 ms |
340 KB |
Output is correct |
| 16 |
Correct |
1 ms |
324 KB |
Output is correct |
| 17 |
Correct |
1 ms |
324 KB |
Output is correct |
| 18 |
Correct |
1 ms |
324 KB |
Output is correct |
| 19 |
Correct |
1 ms |
340 KB |
Output is correct |
| 20 |
Correct |
1 ms |
340 KB |
Output is correct |
| 21 |
Correct |
1 ms |
340 KB |
Output is correct |
| 22 |
Correct |
1 ms |
336 KB |
Output is correct |
| 23 |
Correct |
1 ms |
340 KB |
Output is correct |
| 24 |
Correct |
1 ms |
424 KB |
Output is correct |
| 25 |
Correct |
1 ms |
340 KB |
Output is correct |
| 26 |
Correct |
1 ms |
340 KB |
Output is correct |
| 27 |
Correct |
1 ms |
340 KB |
Output is correct |
| 28 |
Correct |
1 ms |
340 KB |
Output is correct |
| 29 |
Correct |
1 ms |
340 KB |
Output is correct |
| 30 |
Correct |
0 ms |
340 KB |
Output is correct |
| 31 |
Correct |
1 ms |
328 KB |
Output is correct |
| 32 |
Correct |
1 ms |
340 KB |
Output is correct |
| 33 |
Correct |
1 ms |
340 KB |
Output is correct |
| 34 |
Correct |
1 ms |
320 KB |
Output is correct |
| 35 |
Correct |
1 ms |
340 KB |
Output is correct |
| 36 |
Correct |
1 ms |
340 KB |
Output is correct |
| 37 |
Correct |
1 ms |
340 KB |
Output is correct |
| 38 |
Correct |
1 ms |
340 KB |
Output is correct |
| 39 |
Correct |
1 ms |
320 KB |
Output is correct |
| 40 |
Correct |
1 ms |
340 KB |
Output is correct |
| 41 |
Correct |
1 ms |
328 KB |
Output is correct |
| 42 |
Correct |
1 ms |
340 KB |
Output is correct |
| 43 |
Correct |
1 ms |
340 KB |
Output is correct |
| 44 |
Correct |
1 ms |
340 KB |
Output is correct |
| 45 |
Correct |
1 ms |
340 KB |
Output is correct |
| 46 |
Correct |
1 ms |
340 KB |
Output is correct |
| 47 |
Correct |
1 ms |
340 KB |
Output is correct |
| 48 |
Correct |
1 ms |
340 KB |
Output is correct |
| 49 |
Correct |
1 ms |
304 KB |
Output is correct |
| 50 |
Correct |
1 ms |
340 KB |
Output is correct |
| # |
결과 |
실행 시간 |
메모리 |
Grader output |
| 1 |
Correct |
1 ms |
212 KB |
Output is correct |
| 2 |
Correct |
1 ms |
212 KB |
Output is correct |
| 3 |
Correct |
1 ms |
212 KB |
Output is correct |
| 4 |
Correct |
1 ms |
320 KB |
Output is correct |
| 5 |
Correct |
1 ms |
212 KB |
Output is correct |
| 6 |
Correct |
1 ms |
212 KB |
Output is correct |
| 7 |
Correct |
1 ms |
212 KB |
Output is correct |
| 8 |
Correct |
1 ms |
212 KB |
Output is correct |
| 9 |
Correct |
1 ms |
320 KB |
Output is correct |
| 10 |
Correct |
1 ms |
212 KB |
Output is correct |
| 11 |
Correct |
1 ms |
212 KB |
Output is correct |
| 12 |
Correct |
1 ms |
212 KB |
Output is correct |
| 13 |
Correct |
1 ms |
212 KB |
Output is correct |
| 14 |
Correct |
1 ms |
212 KB |
Output is correct |
| 15 |
Correct |
1 ms |
340 KB |
Output is correct |
| 16 |
Correct |
1 ms |
324 KB |
Output is correct |
| 17 |
Correct |
1 ms |
324 KB |
Output is correct |
| 18 |
Correct |
1 ms |
324 KB |
Output is correct |
| 19 |
Correct |
1 ms |
340 KB |
Output is correct |
| 20 |
Correct |
1 ms |
340 KB |
Output is correct |
| 21 |
Correct |
1 ms |
340 KB |
Output is correct |
| 22 |
Correct |
1 ms |
336 KB |
Output is correct |
| 23 |
Correct |
1 ms |
340 KB |
Output is correct |
| 24 |
Correct |
1 ms |
424 KB |
Output is correct |
| 25 |
Correct |
1 ms |
340 KB |
Output is correct |
| 26 |
Correct |
1 ms |
340 KB |
Output is correct |
| 27 |
Correct |
1 ms |
340 KB |
Output is correct |
| 28 |
Correct |
1 ms |
340 KB |
Output is correct |
| 29 |
Correct |
1 ms |
340 KB |
Output is correct |
| 30 |
Correct |
100 ms |
28840 KB |
Output is correct |
| 31 |
Correct |
99 ms |
29624 KB |
Output is correct |
| 32 |
Correct |
81 ms |
28096 KB |
Output is correct |
| 33 |
Correct |
93 ms |
29488 KB |
Output is correct |
| 34 |
Correct |
106 ms |
29392 KB |
Output is correct |
| 35 |
Correct |
93 ms |
29496 KB |
Output is correct |
| 36 |
Correct |
97 ms |
29104 KB |
Output is correct |
| 37 |
Correct |
114 ms |
30228 KB |
Output is correct |
| 38 |
Correct |
99 ms |
29616 KB |
Output is correct |
| 39 |
Correct |
110 ms |
30012 KB |
Output is correct |
| 40 |
Correct |
116 ms |
30384 KB |
Output is correct |
| 41 |
Correct |
100 ms |
28856 KB |
Output is correct |
| 42 |
Correct |
103 ms |
29644 KB |
Output is correct |
| 43 |
Correct |
106 ms |
29872 KB |
Output is correct |
| 44 |
Correct |
105 ms |
30128 KB |
Output is correct |
| 45 |
Correct |
104 ms |
33580 KB |
Output is correct |
| 46 |
Correct |
120 ms |
33336 KB |
Output is correct |
| 47 |
Correct |
138 ms |
33416 KB |
Output is correct |
| 48 |
Correct |
103 ms |
33344 KB |
Output is correct |
| 49 |
Correct |
113 ms |
33464 KB |
Output is correct |
| 50 |
Correct |
128 ms |
33460 KB |
Output is correct |
| 51 |
Correct |
106 ms |
33464 KB |
Output is correct |
| 52 |
Correct |
109 ms |
33340 KB |
Output is correct |
| 53 |
Correct |
130 ms |
33592 KB |
Output is correct |
| 54 |
Correct |
116 ms |
33596 KB |
Output is correct |
| 55 |
Correct |
0 ms |
340 KB |
Output is correct |
| 56 |
Correct |
1 ms |
328 KB |
Output is correct |
| 57 |
Correct |
1 ms |
340 KB |
Output is correct |
| 58 |
Correct |
1 ms |
340 KB |
Output is correct |
| 59 |
Correct |
1 ms |
320 KB |
Output is correct |
| 60 |
Correct |
1 ms |
340 KB |
Output is correct |
| 61 |
Correct |
1 ms |
340 KB |
Output is correct |
| 62 |
Correct |
1 ms |
340 KB |
Output is correct |
| 63 |
Correct |
1 ms |
340 KB |
Output is correct |
| 64 |
Correct |
1 ms |
320 KB |
Output is correct |
| 65 |
Correct |
1 ms |
340 KB |
Output is correct |
| 66 |
Correct |
1 ms |
328 KB |
Output is correct |
| 67 |
Correct |
1 ms |
340 KB |
Output is correct |
| 68 |
Correct |
1 ms |
340 KB |
Output is correct |
| 69 |
Correct |
1 ms |
340 KB |
Output is correct |
| 70 |
Correct |
1 ms |
340 KB |
Output is correct |
| 71 |
Correct |
1 ms |
340 KB |
Output is correct |
| 72 |
Correct |
1 ms |
340 KB |
Output is correct |
| 73 |
Correct |
1 ms |
340 KB |
Output is correct |
| 74 |
Correct |
1 ms |
304 KB |
Output is correct |
| 75 |
Correct |
1 ms |
340 KB |
Output is correct |
| 76 |
Correct |
95 ms |
29752 KB |
Output is correct |
| 77 |
Correct |
107 ms |
29744 KB |
Output is correct |
| 78 |
Correct |
89 ms |
29112 KB |
Output is correct |
| 79 |
Correct |
87 ms |
29356 KB |
Output is correct |
| 80 |
Correct |
107 ms |
30004 KB |
Output is correct |
| 81 |
Correct |
80 ms |
29232 KB |
Output is correct |
| 82 |
Correct |
86 ms |
29240 KB |
Output is correct |
| 83 |
Correct |
96 ms |
29740 KB |
Output is correct |
| 84 |
Correct |
86 ms |
29504 KB |
Output is correct |
| 85 |
Correct |
94 ms |
29752 KB |
Output is correct |
| 86 |
Correct |
113 ms |
29220 KB |
Output is correct |
| 87 |
Correct |
83 ms |
29116 KB |
Output is correct |
| 88 |
Correct |
87 ms |
29492 KB |
Output is correct |
| 89 |
Correct |
86 ms |
29244 KB |
Output is correct |
| 90 |
Correct |
81 ms |
29236 KB |
Output is correct |
| 91 |
Correct |
84 ms |
28976 KB |
Output is correct |
| 92 |
Correct |
113 ms |
30384 KB |
Output is correct |
| 93 |
Correct |
100 ms |
29500 KB |
Output is correct |
| 94 |
Correct |
95 ms |
28732 KB |
Output is correct |
| 95 |
Correct |
91 ms |
30132 KB |
Output is correct |
| 96 |
Correct |
95 ms |
29228 KB |
Output is correct |
| 97 |
Correct |
90 ms |
29388 KB |
Output is correct |
| 98 |
Correct |
85 ms |
29496 KB |
Output is correct |
| 99 |
Correct |
81 ms |
29132 KB |
Output is correct |
| 100 |
Correct |
84 ms |
29244 KB |
Output is correct |
