//#pragma GCC optimize("O3")
//#pragma GCC target("sse,sse2,sse3,ssse3,sse4,popcnt,abm,mmx,tune=native")
//#pragma GCC optimize ("unroll-loops")
#include <bits/stdc++.h>
using namespace std;
using ll = long long;
using ld = long double;
const int mod = 1e9 + 7;
const int N = 1e5 + 5;
const int K = 205;
struct line {
ll a;
ll b;
int pos;
};
struct CHT {
int last,top;
line ln[N];
inline bool Check(line& a,line& b,line& c) {
return (ld)(a.b-b.b)*(c.a-b.a)<(ld)(b.b-c.b)*(b.a-a.a);
}
inline bool Check2(line& a,line& b,int x) {
return (ll)x*(b.a-a.a)<a.b-b.b;
}
void insert(line u) {
if(top&&ln[top-1].a==u.a&&ln[top-1].b>=u.b) return;
while(top>=2&&!Check(ln[top-2],ln[top-1],u)) top--;
ln[top++]=u;
}
line query(int x) {
last=min(last,top-1);
while(last+1<top&&!Check2(ln[last],ln[last+1],x))last++;
return ln[last];
}
void clear() {
last=0; top=0;
}
}cht;
ll pref[N];
ll dp[2][N];
int way[K][N];
int main() {
ios::sync_with_stdio(false);
cin.tie(nullptr);
cout.tie(nullptr);
int n, k;
cin >> n >> k;
for (int i = 1; i <= n; i++) {
cin >> pref[i];
pref[i] += pref[i - 1];
}
for (int i = 1; i <= k; i++) {
int v = (i - 1) & 1;
cht.clear();
cht.insert({ pref[i], dp[v][i] - pref[i] * pref[i], i });
for (int j = i + 1; j <= n; j++) {
auto p = cht.query(pref[j]);
dp[v ^ 1][j] = p.a * pref[j] + p.b;
way[i][j] = p.pos;
cht.insert({ pref[j], dp[v][j] - pref[j] * pref[j], j });
}
}
cout << dp[k & 1][n] << '\n';
int kek = n;
vector<int> ans;
for (int i = k; i > 0; i--) {
ans.push_back(way[i][kek]);
kek = way[i][kek];
}
reverse(ans.begin(), ans.end());
for (int i : ans) {
cout << i << ' ';
}
return 0;
}
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
2 ms |
376 KB |
contestant found the optimal answer: 108 == 108 |
2 |
Correct |
2 ms |
376 KB |
contestant found the optimal answer: 999 == 999 |
3 |
Correct |
2 ms |
376 KB |
contestant found the optimal answer: 0 == 0 |
4 |
Correct |
2 ms |
376 KB |
contestant found the optimal answer: 1542524 == 1542524 |
5 |
Correct |
2 ms |
376 KB |
contestant found the optimal answer: 4500000000 == 4500000000 |
6 |
Correct |
2 ms |
376 KB |
contestant found the optimal answer: 1 == 1 |
7 |
Correct |
2 ms |
376 KB |
contestant found the optimal answer: 1 == 1 |
8 |
Correct |
2 ms |
376 KB |
contestant found the optimal answer: 1 == 1 |
9 |
Correct |
2 ms |
376 KB |
contestant found the optimal answer: 100400096 == 100400096 |
10 |
Correct |
2 ms |
376 KB |
contestant found the optimal answer: 900320000 == 900320000 |
11 |
Correct |
3 ms |
376 KB |
contestant found the optimal answer: 3698080248 == 3698080248 |
12 |
Correct |
2 ms |
376 KB |
contestant found the optimal answer: 3200320000 == 3200320000 |
13 |
Correct |
2 ms |
376 KB |
contestant found the optimal answer: 140072 == 140072 |
14 |
Correct |
2 ms |
376 KB |
contestant found the optimal answer: 376041456 == 376041456 |
15 |
Correct |
2 ms |
376 KB |
contestant found the optimal answer: 805 == 805 |
16 |
Correct |
3 ms |
376 KB |
contestant found the optimal answer: 900189994 == 900189994 |
17 |
Correct |
2 ms |
376 KB |
contestant found the optimal answer: 999919994 == 999919994 |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
2 ms |
376 KB |
contestant found the optimal answer: 1093956 == 1093956 |
2 |
Correct |
2 ms |
376 KB |
contestant found the optimal answer: 302460000 == 302460000 |
3 |
Correct |
2 ms |
632 KB |
contestant found the optimal answer: 122453454361 == 122453454361 |
4 |
Correct |
2 ms |
376 KB |
contestant found the optimal answer: 93663683509 == 93663683509 |
5 |
Correct |
2 ms |
376 KB |
contestant found the optimal answer: 1005304678 == 1005304678 |
6 |
Correct |
2 ms |
380 KB |
contestant found the optimal answer: 933702 == 933702 |
7 |
Correct |
2 ms |
504 KB |
contestant found the optimal answer: 25082842857 == 25082842857 |
8 |
Correct |
2 ms |
376 KB |
contestant found the optimal answer: 687136 == 687136 |
9 |
Correct |
0 ms |
376 KB |
contestant found the optimal answer: 27295930079 == 27295930079 |
10 |
Correct |
2 ms |
376 KB |
contestant found the optimal answer: 29000419931 == 29000419931 |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
2 ms |
376 KB |
contestant found the optimal answer: 610590000 == 610590000 |
2 |
Correct |
2 ms |
376 KB |
contestant found the optimal answer: 311760000 == 311760000 |
3 |
Correct |
3 ms |
1400 KB |
contestant found the optimal answer: 1989216017013 == 1989216017013 |
4 |
Correct |
2 ms |
376 KB |
contestant found the optimal answer: 1499437552673 == 1499437552673 |
5 |
Correct |
3 ms |
1144 KB |
contestant found the optimal answer: 1019625819 == 1019625819 |
6 |
Correct |
3 ms |
1272 KB |
contestant found the optimal answer: 107630884 == 107630884 |
7 |
Correct |
3 ms |
1400 KB |
contestant found the optimal answer: 475357671774 == 475357671774 |
8 |
Correct |
2 ms |
632 KB |
contestant found the optimal answer: 193556962 == 193556962 |
9 |
Correct |
2 ms |
504 KB |
contestant found the optimal answer: 482389919803 == 482389919803 |
10 |
Correct |
2 ms |
632 KB |
contestant found the optimal answer: 490686959791 == 490686959791 |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
2 ms |
376 KB |
contestant found the optimal answer: 21503404 == 21503404 |
2 |
Correct |
2 ms |
376 KB |
contestant found the optimal answer: 140412195 == 140412195 |
3 |
Correct |
6 ms |
2040 KB |
contestant found the optimal answer: 49729674225461 == 49729674225461 |
4 |
Correct |
2 ms |
504 KB |
contestant found the optimal answer: 37485571387523 == 37485571387523 |
5 |
Correct |
7 ms |
2072 KB |
contestant found the optimal answer: 679388326 == 679388326 |
6 |
Correct |
7 ms |
1784 KB |
contestant found the optimal answer: 4699030287 == 4699030287 |
7 |
Correct |
8 ms |
2040 KB |
contestant found the optimal answer: 12418819758185 == 12418819758185 |
8 |
Correct |
6 ms |
2040 KB |
contestant found the optimal answer: 31093317350 == 31093317350 |
9 |
Correct |
3 ms |
760 KB |
contestant found the optimal answer: 12194625429236 == 12194625429236 |
10 |
Correct |
4 ms |
1144 KB |
contestant found the optimal answer: 12345131038664 == 12345131038664 |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
4 ms |
888 KB |
contestant found the optimal answer: 1818678304 == 1818678304 |
2 |
Correct |
4 ms |
888 KB |
contestant found the optimal answer: 1326260195 == 1326260195 |
3 |
Correct |
42 ms |
9564 KB |
contestant found the optimal answer: 4973126687469639 == 4973126687469639 |
4 |
Correct |
4 ms |
1016 KB |
contestant found the optimal answer: 3748491676694116 == 3748491676694116 |
5 |
Correct |
38 ms |
6008 KB |
contestant found the optimal answer: 1085432199 == 1085432199 |
6 |
Correct |
44 ms |
6904 KB |
contestant found the optimal answer: 514790755404 == 514790755404 |
7 |
Correct |
46 ms |
7356 KB |
contestant found the optimal answer: 1256105310476641 == 1256105310476641 |
8 |
Correct |
31 ms |
6136 KB |
contestant found the optimal answer: 3099592898816 == 3099592898816 |
9 |
Correct |
35 ms |
6908 KB |
contestant found the optimal answer: 1241131419367412 == 1241131419367412 |
10 |
Correct |
43 ms |
8688 KB |
contestant found the optimal answer: 1243084101967798 == 1243084101967798 |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
20 ms |
5752 KB |
contestant found the optimal answer: 19795776960 == 19795776960 |
2 |
Correct |
20 ms |
5752 KB |
contestant found the optimal answer: 19874432173 == 19874432173 |
3 |
Correct |
382 ms |
83820 KB |
contestant found the optimal answer: 497313449256899208 == 497313449256899208 |
4 |
Correct |
26 ms |
6648 KB |
contestant found the optimal answer: 374850090734572421 == 374850090734572421 |
5 |
Correct |
585 ms |
83140 KB |
contestant found the optimal answer: 36183271951 == 36183271951 |
6 |
Correct |
362 ms |
59644 KB |
contestant found the optimal answer: 51629847150471 == 51629847150471 |
7 |
Correct |
452 ms |
64248 KB |
contestant found the optimal answer: 124074747024496432 == 124074747024496432 |
8 |
Correct |
303 ms |
53112 KB |
contestant found the optimal answer: 309959349080800 == 309959349080800 |
9 |
Correct |
308 ms |
60152 KB |
contestant found the optimal answer: 124113525649823701 == 124113525649823701 |
10 |
Correct |
389 ms |
75616 KB |
contestant found the optimal answer: 124309619349406845 == 124309619349406845 |