#include <bits/stdc++.h>
using namespace std;
#define FAST_IO ios_base::sync_with_stdio(0); cin.tie(nullptr)
#define FOR(i, a, b) for (int i = (a); i <= (b); i++)
#define REP(n) FOR(O, 1, (n))
#define f first
#define s second
#define pb push_back
typedef long long ll;
typedef vector<int> vi;
typedef pair<int, int> pii;
typedef long double ld;
mt19937 rng(chrono::steady_clock::now().time_since_epoch().count());
const int MAXN = 100100;
const ll INF = 1e16;
/*struct line {
ll k, b;
int id;
line (ll _k, ll _b, int _id) : k (_k), b (_b), id (_id) {}
ll operator() (ll x) {
return k * x + b;
}
};*/
/*ld intersection (line p, line q) {
ld dy = ((ld)(q.b - p.b));
ld dx = ((ld)(p.k - q.k));
return dy / dx;
}*/
ld intersection (pair<pair<ll, ll>, int> p, pair<pair<ll, ll>, int> q) {
ld dy = ((ld)(q.f.s - p.f.s));
ld dx = ((ld)(p.f.f - q.f.f));
return dy / dx;
}
//ll dp[210][MAXN];
int pr[210][MAXN];
int n, k;
ll a[MAXN], pref[MAXN];
deque<pair<pair<ll, ll>, int>> dq[210];
//int lstId[210];
void ins (int g, int id, ll dp) {
ll k = pref[id];
ll b = dp - pref[id] * pref[id];
// line newL (k, b, id);
pair<pair<ll, ll>, int> newL = {{k, b}, id};
while (dq[g].size() > 0 && dq[g][dq[g].size()-1].f.f == newL.f.f) {
dq[g].pop_back();
}
while (dq[g].size() > 1 &&
intersection(dq[g][dq[g].size()-2], newL) < intersection(dq[g][dq[g].size()-2], dq[g][dq[g].size()-1])) {
dq[g].pop_back();
}
dq[g].push_back(newL);
}
pair<int, ll> getMaxId (int g, ll x) {
while (dq[g].size() > 1 && x >= intersection(dq[g][0], dq[g][1])) {
dq[g].pop_front();
}
return {dq[g][0].s, dq[g][0].f.f * x + dq[g][0].f.s};
}
int main()
{
FAST_IO;
cin >> n >> k;
FOR(i, 1, n) cin >> a[i];
FOR(i, 1, n) pref[i] = pref[i-1] + a[i];
ins(0, 0, 0);
FOR(i, 1, n) for (int g = k+1; g > 0; g--) {
if (i < g) continue;
ll x = pref[i];
auto p = getMaxId(g-1, x);
int j = p.f;
ll dp = p.s;
pr[g][i] = j;
//lstDp = dp;
if (i == n && g == k+1)
cout << dp << "\n";
//cout << " i = " << i << " g = " << g << " dp = " << dp << endl;
ins(g, i, dp);
}
//cout << lstDp << "\n";
int g = k+1, i = n;
while (g > 0) {
i = pr[g][i];
g--;
if (g > 0) cout << i << " ";
}
cout << "\n";
return 0;
}
/*
7 3
4 1 3 4 0 2 3
*/
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
1 ms |
468 KB |
contestant found the optimal answer: 108 == 108 |
2 |
Correct |
1 ms |
468 KB |
contestant found the optimal answer: 999 == 999 |
3 |
Correct |
1 ms |
468 KB |
contestant found the optimal answer: 0 == 0 |
4 |
Correct |
1 ms |
476 KB |
contestant found the optimal answer: 1542524 == 1542524 |
5 |
Correct |
1 ms |
468 KB |
contestant found the optimal answer: 4500000000 == 4500000000 |
6 |
Correct |
1 ms |
480 KB |
contestant found the optimal answer: 1 == 1 |
7 |
Correct |
1 ms |
468 KB |
contestant found the optimal answer: 1 == 1 |
8 |
Correct |
1 ms |
468 KB |
contestant found the optimal answer: 1 == 1 |
9 |
Correct |
1 ms |
468 KB |
contestant found the optimal answer: 100400096 == 100400096 |
10 |
Correct |
1 ms |
468 KB |
contestant found the optimal answer: 900320000 == 900320000 |
11 |
Correct |
1 ms |
476 KB |
contestant found the optimal answer: 3698080248 == 3698080248 |
12 |
Correct |
0 ms |
468 KB |
contestant found the optimal answer: 3200320000 == 3200320000 |
13 |
Correct |
1 ms |
468 KB |
contestant found the optimal answer: 140072 == 140072 |
14 |
Correct |
1 ms |
468 KB |
contestant found the optimal answer: 376041456 == 376041456 |
15 |
Correct |
1 ms |
476 KB |
contestant found the optimal answer: 805 == 805 |
16 |
Correct |
1 ms |
468 KB |
contestant found the optimal answer: 900189994 == 900189994 |
17 |
Correct |
1 ms |
468 KB |
contestant found the optimal answer: 999919994 == 999919994 |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
0 ms |
468 KB |
contestant found the optimal answer: 1093956 == 1093956 |
2 |
Correct |
1 ms |
472 KB |
contestant found the optimal answer: 302460000 == 302460000 |
3 |
Correct |
1 ms |
724 KB |
contestant found the optimal answer: 122453454361 == 122453454361 |
4 |
Correct |
1 ms |
468 KB |
contestant found the optimal answer: 93663683509 == 93663683509 |
5 |
Correct |
1 ms |
480 KB |
contestant found the optimal answer: 1005304678 == 1005304678 |
6 |
Correct |
1 ms |
468 KB |
contestant found the optimal answer: 933702 == 933702 |
7 |
Correct |
1 ms |
600 KB |
contestant found the optimal answer: 25082842857 == 25082842857 |
8 |
Correct |
1 ms |
476 KB |
contestant found the optimal answer: 687136 == 687136 |
9 |
Correct |
1 ms |
468 KB |
contestant found the optimal answer: 27295930079 == 27295930079 |
10 |
Correct |
1 ms |
468 KB |
contestant found the optimal answer: 29000419931 == 29000419931 |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
1 ms |
468 KB |
contestant found the optimal answer: 610590000 == 610590000 |
2 |
Correct |
1 ms |
468 KB |
contestant found the optimal answer: 311760000 == 311760000 |
3 |
Correct |
2 ms |
1500 KB |
contestant found the optimal answer: 1989216017013 == 1989216017013 |
4 |
Correct |
1 ms |
480 KB |
contestant found the optimal answer: 1499437552673 == 1499437552673 |
5 |
Correct |
2 ms |
1236 KB |
contestant found the optimal answer: 1019625819 == 1019625819 |
6 |
Correct |
2 ms |
1372 KB |
contestant found the optimal answer: 107630884 == 107630884 |
7 |
Correct |
2 ms |
1492 KB |
contestant found the optimal answer: 475357671774 == 475357671774 |
8 |
Correct |
1 ms |
724 KB |
contestant found the optimal answer: 193556962 == 193556962 |
9 |
Correct |
1 ms |
596 KB |
contestant found the optimal answer: 482389919803 == 482389919803 |
10 |
Correct |
1 ms |
724 KB |
contestant found the optimal answer: 490686959791 == 490686959791 |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
1 ms |
468 KB |
contestant found the optimal answer: 21503404 == 21503404 |
2 |
Correct |
1 ms |
596 KB |
contestant found the optimal answer: 140412195 == 140412195 |
3 |
Correct |
10 ms |
2212 KB |
contestant found the optimal answer: 49729674225461 == 49729674225461 |
4 |
Correct |
1 ms |
596 KB |
contestant found the optimal answer: 37485571387523 == 37485571387523 |
5 |
Correct |
10 ms |
2280 KB |
contestant found the optimal answer: 679388326 == 679388326 |
6 |
Correct |
9 ms |
2008 KB |
contestant found the optimal answer: 4699030287 == 4699030287 |
7 |
Correct |
11 ms |
2260 KB |
contestant found the optimal answer: 12418819758185 == 12418819758185 |
8 |
Correct |
10 ms |
2540 KB |
contestant found the optimal answer: 31093317350 == 31093317350 |
9 |
Correct |
3 ms |
852 KB |
contestant found the optimal answer: 12194625429236 == 12194625429236 |
10 |
Correct |
5 ms |
1236 KB |
contestant found the optimal answer: 12345131038664 == 12345131038664 |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
4 ms |
1236 KB |
contestant found the optimal answer: 1818678304 == 1818678304 |
2 |
Correct |
4 ms |
1384 KB |
contestant found the optimal answer: 1326260195 == 1326260195 |
3 |
Correct |
112 ms |
10828 KB |
contestant found the optimal answer: 4973126687469639 == 4973126687469639 |
4 |
Correct |
4 ms |
1364 KB |
contestant found the optimal answer: 3748491676694116 == 3748491676694116 |
5 |
Correct |
74 ms |
7180 KB |
contestant found the optimal answer: 1085432199 == 1085432199 |
6 |
Correct |
89 ms |
7628 KB |
contestant found the optimal answer: 514790755404 == 514790755404 |
7 |
Correct |
99 ms |
8484 KB |
contestant found the optimal answer: 1256105310476641 == 1256105310476641 |
8 |
Correct |
79 ms |
7548 KB |
contestant found the optimal answer: 3099592898816 == 3099592898816 |
9 |
Correct |
84 ms |
7960 KB |
contestant found the optimal answer: 1241131419367412 == 1241131419367412 |
10 |
Correct |
104 ms |
9748 KB |
contestant found the optimal answer: 1243084101967798 == 1243084101967798 |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
32 ms |
7704 KB |
contestant found the optimal answer: 19795776960 == 19795776960 |
2 |
Correct |
30 ms |
8072 KB |
contestant found the optimal answer: 19874432173 == 19874432173 |
3 |
Correct |
1256 ms |
96044 KB |
contestant found the optimal answer: 497313449256899208 == 497313449256899208 |
4 |
Correct |
35 ms |
9132 KB |
contestant found the optimal answer: 374850090734572421 == 374850090734572421 |
5 |
Correct |
1282 ms |
94164 KB |
contestant found the optimal answer: 36183271951 == 36183271951 |
6 |
Correct |
888 ms |
65764 KB |
contestant found the optimal answer: 51629847150471 == 51629847150471 |
7 |
Correct |
1076 ms |
75040 KB |
contestant found the optimal answer: 124074747024496432 == 124074747024496432 |
8 |
Correct |
821 ms |
63052 KB |
contestant found the optimal answer: 309959349080800 == 309959349080800 |
9 |
Correct |
887 ms |
69912 KB |
contestant found the optimal answer: 124113525649823701 == 124113525649823701 |
10 |
Correct |
1090 ms |
86076 KB |
contestant found the optimal answer: 124309619349406845 == 124309619349406845 |