#include <bits/stdc++.h>
using namespace std;
#define int ll
#define endl '\n' //comment for interactive
#define fast_io ios::sync_with_stdio(0); cin.tie(0); cout.tie(0)
#define pb push_back
#define re resize
#define ff first
#define ss second
#define all(x) (x).begin(), (x).end()
#define all1(x) (x).begin()+1, (x).end()
#define loop(i, n) for(int i = 0; i < n; i++)
#define loop1(i, n) for(int i = 1; i <= n; i++)
#define print(x) cout << #x << ": " << x << endl << flush
typedef long long ll;
typedef vector<int> vi;
typedef array<int, 2> ii;
typedef array<int, 3> ti;
typedef vector<ii> vii;
typedef vector<ti> vti;
typedef vector<vi> vvi;
typedef priority_queue<int> pq;
template<class T> bool ckmin(T&a, T b) { bool B = a > b; a = min(a, b); return B; }
template<class T> bool ckmax(T&a, T b) { bool B = a < b; a = max(a, b); return B; }
const int inf = 1e17;
signed pos[100005][205];
int res;
struct line {
int m, c, id;
int eval(int x) { return m*x + c; }
};
double isect(line a, line b) {
assert(b.m != a.m);
return (double) (a.c - b.c) / (b.m - a.m);
}
void solve() {
int n, k; cin >> n >> k;
k++;
vi a(n+1);
loop1(i, n) cin >> a[i];
vi pref(n+1);
loop1(i, n)
pref[i] = pref[i-1] + a[i];
deque<line> dq[k+1];
dq[0].pb({0, 0, 0});
pos[0][0] = 0;
loop1(i, n) for(int j = k; j >= 1; j--) if(!dq[j-1].empty()) {
// query
while(dq[j-1].size() >= 2) {
line a = dq[j-1][0];
line b = dq[j-1][1];
if(a.eval(pref[i]) < b.eval(pref[i]))
dq[j-1].pop_front();
else break;
}
int ans = dq[j-1].front().eval(pref[i]);
if(i == n and j == k) res = ans;
pos[i][j] = dq[j-1].front().id;
// update
line nl = {pref[i], ans - pref[i] * pref[i], i};
while(!dq[j].empty()) {
if(dq[j].back().m == nl.m)
dq[j].pop_back();
else break;
}
while(dq[j].size() >= 2) {
line a = dq[j][dq[j].size()-1];
line b = dq[j][dq[j].size()-2];
if(isect(nl, a) <= isect(nl, b))
dq[j].pop_back();
else break;
}
dq[j].pb(nl);
}
cout << res << endl;
int x = n;
int l = k;
while(l > 1) {
x = pos[x][l];
l--;
cout << x << " ";
}
cout << endl;
}
signed main() {
fast_io;
int t = 1; //cin >> t;
while(t--)
solve();
return 0;
}
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
1 ms |
360 KB |
contestant found the optimal answer: 108 == 108 |
| 2 |
Correct |
0 ms |
212 KB |
contestant found the optimal answer: 999 == 999 |
| 3 |
Correct |
1 ms |
212 KB |
contestant found the optimal answer: 0 == 0 |
| 4 |
Correct |
1 ms |
212 KB |
contestant found the optimal answer: 1542524 == 1542524 |
| 5 |
Correct |
0 ms |
340 KB |
contestant found the optimal answer: 4500000000 == 4500000000 |
| 6 |
Correct |
0 ms |
212 KB |
contestant found the optimal answer: 1 == 1 |
| 7 |
Correct |
1 ms |
212 KB |
contestant found the optimal answer: 1 == 1 |
| 8 |
Correct |
1 ms |
212 KB |
contestant found the optimal answer: 1 == 1 |
| 9 |
Correct |
1 ms |
340 KB |
contestant found the optimal answer: 100400096 == 100400096 |
| 10 |
Correct |
1 ms |
340 KB |
contestant found the optimal answer: 900320000 == 900320000 |
| 11 |
Correct |
0 ms |
212 KB |
contestant found the optimal answer: 3698080248 == 3698080248 |
| 12 |
Correct |
1 ms |
212 KB |
contestant found the optimal answer: 3200320000 == 3200320000 |
| 13 |
Correct |
1 ms |
212 KB |
contestant found the optimal answer: 140072 == 140072 |
| 14 |
Correct |
1 ms |
212 KB |
contestant found the optimal answer: 376041456 == 376041456 |
| 15 |
Correct |
0 ms |
340 KB |
contestant found the optimal answer: 805 == 805 |
| 16 |
Correct |
0 ms |
340 KB |
contestant found the optimal answer: 900189994 == 900189994 |
| 17 |
Correct |
1 ms |
212 KB |
contestant found the optimal answer: 999919994 == 999919994 |
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
0 ms |
340 KB |
contestant found the optimal answer: 1093956 == 1093956 |
| 2 |
Correct |
0 ms |
340 KB |
contestant found the optimal answer: 302460000 == 302460000 |
| 3 |
Correct |
1 ms |
340 KB |
contestant found the optimal answer: 122453454361 == 122453454361 |
| 4 |
Correct |
0 ms |
340 KB |
contestant found the optimal answer: 93663683509 == 93663683509 |
| 5 |
Correct |
0 ms |
340 KB |
contestant found the optimal answer: 1005304678 == 1005304678 |
| 6 |
Correct |
0 ms |
340 KB |
contestant found the optimal answer: 933702 == 933702 |
| 7 |
Correct |
1 ms |
340 KB |
contestant found the optimal answer: 25082842857 == 25082842857 |
| 8 |
Correct |
1 ms |
340 KB |
contestant found the optimal answer: 687136 == 687136 |
| 9 |
Correct |
0 ms |
340 KB |
contestant found the optimal answer: 27295930079 == 27295930079 |
| 10 |
Correct |
0 ms |
340 KB |
contestant found the optimal answer: 29000419931 == 29000419931 |
| # |
Verdict |
Execution time |
Memory |
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 |
596 KB |
contestant found the optimal answer: 1989216017013 == 1989216017013 |
| 4 |
Correct |
1 ms |
488 KB |
contestant found the optimal answer: 1499437552673 == 1499437552673 |
| 5 |
Correct |
1 ms |
596 KB |
contestant found the optimal answer: 1019625819 == 1019625819 |
| 6 |
Correct |
1 ms |
596 KB |
contestant found the optimal answer: 107630884 == 107630884 |
| 7 |
Correct |
1 ms |
596 KB |
contestant found the optimal answer: 475357671774 == 475357671774 |
| 8 |
Correct |
1 ms |
468 KB |
contestant found the optimal answer: 193556962 == 193556962 |
| 9 |
Correct |
1 ms |
468 KB |
contestant found the optimal answer: 482389919803 == 482389919803 |
| 10 |
Correct |
1 ms |
468 KB |
contestant found the optimal answer: 490686959791 == 490686959791 |
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
1 ms |
1108 KB |
contestant found the optimal answer: 21503404 == 21503404 |
| 2 |
Correct |
1 ms |
1108 KB |
contestant found the optimal answer: 140412195 == 140412195 |
| 3 |
Correct |
10 ms |
1356 KB |
contestant found the optimal answer: 49729674225461 == 49729674225461 |
| 4 |
Correct |
2 ms |
1108 KB |
contestant found the optimal answer: 37485571387523 == 37485571387523 |
| 5 |
Correct |
10 ms |
1340 KB |
contestant found the optimal answer: 679388326 == 679388326 |
| 6 |
Correct |
9 ms |
1364 KB |
contestant found the optimal answer: 4699030287 == 4699030287 |
| 7 |
Correct |
8 ms |
1428 KB |
contestant found the optimal answer: 12418819758185 == 12418819758185 |
| 8 |
Correct |
5 ms |
1620 KB |
contestant found the optimal answer: 31093317350 == 31093317350 |
| 9 |
Correct |
2 ms |
1236 KB |
contestant found the optimal answer: 12194625429236 == 12194625429236 |
| 10 |
Correct |
4 ms |
1236 KB |
contestant found the optimal answer: 12345131038664 == 12345131038664 |
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
5 ms |
8788 KB |
contestant found the optimal answer: 1818678304 == 1818678304 |
| 2 |
Correct |
6 ms |
9044 KB |
contestant found the optimal answer: 1326260195 == 1326260195 |
| 3 |
Correct |
70 ms |
10096 KB |
contestant found the optimal answer: 4973126687469639 == 4973126687469639 |
| 4 |
Correct |
10 ms |
8916 KB |
contestant found the optimal answer: 3748491676694116 == 3748491676694116 |
| 5 |
Correct |
51 ms |
9832 KB |
contestant found the optimal answer: 1085432199 == 1085432199 |
| 6 |
Correct |
50 ms |
9408 KB |
contestant found the optimal answer: 514790755404 == 514790755404 |
| 7 |
Correct |
68 ms |
9880 KB |
contestant found the optimal answer: 1256105310476641 == 1256105310476641 |
| 8 |
Correct |
49 ms |
10132 KB |
contestant found the optimal answer: 3099592898816 == 3099592898816 |
| 9 |
Correct |
66 ms |
9776 KB |
contestant found the optimal answer: 1241131419367412 == 1241131419367412 |
| 10 |
Correct |
79 ms |
9804 KB |
contestant found the optimal answer: 1243084101967798 == 1243084101967798 |
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
49 ms |
86004 KB |
contestant found the optimal answer: 19795776960 == 19795776960 |
| 2 |
Correct |
51 ms |
86240 KB |
contestant found the optimal answer: 19874432173 == 19874432173 |
| 3 |
Correct |
850 ms |
97340 KB |
contestant found the optimal answer: 497313449256899208 == 497313449256899208 |
| 4 |
Correct |
57 ms |
87648 KB |
contestant found the optimal answer: 374850090734572421 == 374850090734572421 |
| 5 |
Correct |
770 ms |
95288 KB |
contestant found the optimal answer: 36183271951 == 36183271951 |
| 6 |
Correct |
558 ms |
90696 KB |
contestant found the optimal answer: 51629847150471 == 51629847150471 |
| 7 |
Correct |
648 ms |
95988 KB |
contestant found the optimal answer: 124074747024496432 == 124074747024496432 |
| 8 |
Correct |
558 ms |
94984 KB |
contestant found the optimal answer: 309959349080800 == 309959349080800 |
| 9 |
Correct |
614 ms |
94864 KB |
contestant found the optimal answer: 124113525649823701 == 124113525649823701 |
| 10 |
Correct |
718 ms |
95324 KB |
contestant found the optimal answer: 124309619349406845 == 124309619349406845 |
