#include <bits/stdc++.h>
using namespace std;
#define int long long
typedef pair<int, int32_t> pii;
#define N 100001
#define K 201
int ps[N];
int32_t dp[N][K];
struct Frac {
int n, d;
Frac(int num, int den) : n{num}, d{den} { if (d < 0) n = -n, d = -d; }
bool operator < (const Frac &o) const { return __int128_t(n)*__int128_t(o.d) < __int128_t(o.n)*__int128_t(d); }
};
struct Line {
int m, c, i;
Frac isect(const Line &o) const { return {c - o.c, o.m - m}; }
int operator () (const int x) const { return m*x + c; }
};
struct CHT {
deque<Line> hull;
void add(Line l){
while (hull.size() >= 2 && hull[1].isect(l) < hull[1].isect(hull[0]))
hull.pop_front();
hull.push_front(l);
}
pii query(int x){
while (hull.size() >= 2 && hull.back()(x) <= hull[hull.size()-2](x))
hull.pop_back();
return {hull.back()(x), hull.back().i};
}
};
int32_t main(){
ios_base::sync_with_stdio(false);
cin.tie(NULL);
int n, k; cin >> n >> k;
for (int i = 1; i <= n; i++){
cin >> ps[i];
ps[i] += ps[i-1];
}
ps[0] = -1;
CHT prv;
for (int i = 1; i < n; i++)
if (ps[i] != ps[i-1])
prv.add({ps[i], -ps[i]*ps[i], i});
int ans = 0;
for (int l = 1; l <= k; l++){
CHT curr;
for (int i = 1; i <= n; i++){
if (ps[i] == ps[i-1]) continue;
auto [v, j] = prv.query(ps[i]);
dp[i][l] = j;
ans = v;
if (i < n)
curr.add({ps[i], v - ps[i]*ps[i], i});
}
prv = curr;
}
cout << ans << '\n';
int curr = n;
for (int i = k; i > 0; i--){
while (ps[curr] == ps[curr-1]) curr--;
cout << dp[curr][i] << ' ';
curr = dp[curr][i];
}
cout << '\n';
return 0;
}
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
0 ms |
344 KB |
contestant found the optimal answer: 108 == 108 |
| 2 |
Correct |
0 ms |
348 KB |
contestant found the optimal answer: 999 == 999 |
| 3 |
Correct |
0 ms |
348 KB |
contestant found the optimal answer: 0 == 0 |
| 4 |
Correct |
0 ms |
348 KB |
contestant found the optimal answer: 1542524 == 1542524 |
| 5 |
Correct |
0 ms |
348 KB |
contestant found the optimal answer: 4500000000 == 4500000000 |
| 6 |
Correct |
0 ms |
348 KB |
contestant found the optimal answer: 1 == 1 |
| 7 |
Correct |
1 ms |
348 KB |
contestant found the optimal answer: 1 == 1 |
| 8 |
Correct |
0 ms |
348 KB |
contestant found the optimal answer: 1 == 1 |
| 9 |
Correct |
0 ms |
348 KB |
contestant found the optimal answer: 100400096 == 100400096 |
| 10 |
Correct |
1 ms |
348 KB |
contestant found the optimal answer: 900320000 == 900320000 |
| 11 |
Correct |
0 ms |
348 KB |
contestant found the optimal answer: 3698080248 == 3698080248 |
| 12 |
Correct |
0 ms |
348 KB |
contestant found the optimal answer: 3200320000 == 3200320000 |
| 13 |
Correct |
0 ms |
348 KB |
contestant found the optimal answer: 140072 == 140072 |
| 14 |
Correct |
0 ms |
348 KB |
contestant found the optimal answer: 376041456 == 376041456 |
| 15 |
Correct |
0 ms |
348 KB |
contestant found the optimal answer: 805 == 805 |
| 16 |
Correct |
0 ms |
348 KB |
contestant found the optimal answer: 900189994 == 900189994 |
| 17 |
Correct |
1 ms |
348 KB |
contestant found the optimal answer: 999919994 == 999919994 |
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
1 ms |
348 KB |
contestant found the optimal answer: 1093956 == 1093956 |
| 2 |
Correct |
0 ms |
348 KB |
contestant found the optimal answer: 302460000 == 302460000 |
| 3 |
Correct |
0 ms |
348 KB |
contestant found the optimal answer: 122453454361 == 122453454361 |
| 4 |
Correct |
0 ms |
348 KB |
contestant found the optimal answer: 93663683509 == 93663683509 |
| 5 |
Correct |
0 ms |
348 KB |
contestant found the optimal answer: 1005304678 == 1005304678 |
| 6 |
Correct |
1 ms |
344 KB |
contestant found the optimal answer: 933702 == 933702 |
| 7 |
Correct |
1 ms |
348 KB |
contestant found the optimal answer: 25082842857 == 25082842857 |
| 8 |
Correct |
1 ms |
600 KB |
contestant found the optimal answer: 687136 == 687136 |
| 9 |
Correct |
0 ms |
348 KB |
contestant found the optimal answer: 27295930079 == 27295930079 |
| 10 |
Correct |
0 ms |
348 KB |
contestant found the optimal answer: 29000419931 == 29000419931 |
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
1 ms |
604 KB |
contestant found the optimal answer: 610590000 == 610590000 |
| 2 |
Correct |
1 ms |
604 KB |
contestant found the optimal answer: 311760000 == 311760000 |
| 3 |
Correct |
2 ms |
604 KB |
contestant found the optimal answer: 1989216017013 == 1989216017013 |
| 4 |
Correct |
0 ms |
604 KB |
contestant found the optimal answer: 1499437552673 == 1499437552673 |
| 5 |
Correct |
1 ms |
604 KB |
contestant found the optimal answer: 1019625819 == 1019625819 |
| 6 |
Incorrect |
2 ms |
604 KB |
position 199 occurs twice in split scheme |
| 7 |
Halted |
0 ms |
0 KB |
- |
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
1 ms |
2652 KB |
contestant found the optimal answer: 21503404 == 21503404 |
| 2 |
Correct |
1 ms |
2860 KB |
contestant found the optimal answer: 140412195 == 140412195 |
| 3 |
Correct |
6 ms |
2652 KB |
contestant found the optimal answer: 49729674225461 == 49729674225461 |
| 4 |
Correct |
1 ms |
2652 KB |
contestant found the optimal answer: 37485571387523 == 37485571387523 |
| 5 |
Correct |
6 ms |
2652 KB |
contestant found the optimal answer: 679388326 == 679388326 |
| 6 |
Correct |
5 ms |
2652 KB |
contestant found the optimal answer: 4699030287 == 4699030287 |
| 7 |
Correct |
7 ms |
2652 KB |
contestant found the optimal answer: 12418819758185 == 12418819758185 |
| 8 |
Correct |
6 ms |
2748 KB |
contestant found the optimal answer: 31093317350 == 31093317350 |
| 9 |
Correct |
2 ms |
2652 KB |
contestant found the optimal answer: 12194625429236 == 12194625429236 |
| 10 |
Correct |
3 ms |
2648 KB |
contestant found the optimal answer: 12345131038664 == 12345131038664 |
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
5 ms |
9240 KB |
contestant found the optimal answer: 1818678304 == 1818678304 |
| 2 |
Correct |
3 ms |
9052 KB |
contestant found the optimal answer: 1326260195 == 1326260195 |
| 3 |
Correct |
71 ms |
9396 KB |
contestant found the optimal answer: 4973126687469639 == 4973126687469639 |
| 4 |
Correct |
3 ms |
9304 KB |
contestant found the optimal answer: 3748491676694116 == 3748491676694116 |
| 5 |
Correct |
37 ms |
9288 KB |
contestant found the optimal answer: 1085432199 == 1085432199 |
| 6 |
Correct |
40 ms |
9052 KB |
contestant found the optimal answer: 514790755404 == 514790755404 |
| 7 |
Correct |
57 ms |
9304 KB |
contestant found the optimal answer: 1256105310476641 == 1256105310476641 |
| 8 |
Correct |
39 ms |
9408 KB |
contestant found the optimal answer: 3099592898816 == 3099592898816 |
| 9 |
Correct |
47 ms |
9360 KB |
contestant found the optimal answer: 1241131419367412 == 1241131419367412 |
| 10 |
Correct |
55 ms |
9308 KB |
contestant found the optimal answer: 1243084101967798 == 1243084101967798 |
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
28 ms |
83768 KB |
contestant found the optimal answer: 19795776960 == 19795776960 |
| 2 |
Correct |
26 ms |
83616 KB |
contestant found the optimal answer: 19874432173 == 19874432173 |
| 3 |
Correct |
679 ms |
84784 KB |
contestant found the optimal answer: 497313449256899208 == 497313449256899208 |
| 4 |
Correct |
29 ms |
84556 KB |
contestant found the optimal answer: 374850090734572421 == 374850090734572421 |
| 5 |
Correct |
749 ms |
83936 KB |
contestant found the optimal answer: 36183271951 == 36183271951 |
| 6 |
Correct |
478 ms |
83036 KB |
contestant found the optimal answer: 51629847150471 == 51629847150471 |
| 7 |
Correct |
570 ms |
84572 KB |
contestant found the optimal answer: 124074747024496432 == 124074747024496432 |
| 8 |
Correct |
470 ms |
84728 KB |
contestant found the optimal answer: 309959349080800 == 309959349080800 |
| 9 |
Correct |
487 ms |
84412 KB |
contestant found the optimal answer: 124113525649823701 == 124113525649823701 |
| 10 |
Correct |
622 ms |
84312 KB |
contestant found the optimal answer: 124309619349406845 == 124309619349406845 |
