#include <bits/stdc++.h>
#define X first
#define Y second
#define ll long long
#define MP make_pair
using namespace std;
const int N = 1e5 + 123;
const ll INF = 1e18;
typedef pair<ll, ll> Line;
ll f(Line me, ll x) {
return me.X * x + me.Y;
}
Line cf[N];
int n, k, his[N][202], CHT[N];
ll s[N], dp[N];
bool bad(int x, int y, int z) {
return (cf[x].Y - cf[y].Y) * 1.0 / (cf[y].X - cf[x].X) >= (cf[x].Y - cf[z].Y) * 1.0 / (cf[z].X - cf[x].X);
}
void solve(int st) {
CHT[1] = st - 1;
cf[st - 1] = {s[st - 1], dp[st - 1] - s[st - 1] * s[st - 1]};
for(int i = st, l = 1, r = 1;i <= n;i++) {
while(l < r && f(cf[CHT[l]], s[i]) <= f(cf[CHT[l + 1]], s[i]))
l++;
cf[i] = {s[i], dp[i] - s[i] * s[i]};
dp[i] = f(cf[CHT[l]], s[i]), his[i][st] = CHT[l];
while(l < r && bad(CHT[r - 1], CHT[r], i))
r--;
CHT[++r] = i;
}
}
int main () {
ios::sync_with_stdio(0);
cin.tie(0);
cout.tie(0);
cin >> n >> k;
for(int i = 1;i <= n;i++)
cin >> s[i], s[i] += s[i - 1];
k += 1;
for(int i = 2;i <= k;i++) {
solve(i);
}
cout << dp[n] << "\n";
int pos = n;
for(int i = k;i >= 2;i--) {
pos = his[pos][i];
cout << pos << " ";
}
}
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
332 KB |
contestant found the optimal answer: 108 == 108 |
2 |
Correct |
1 ms |
332 KB |
contestant found the optimal answer: 999 == 999 |
3 |
Correct |
1 ms |
332 KB |
contestant found the optimal answer: 0 == 0 |
4 |
Correct |
1 ms |
332 KB |
contestant found the optimal answer: 1542524 == 1542524 |
5 |
Correct |
1 ms |
332 KB |
contestant found the optimal answer: 4500000000 == 4500000000 |
6 |
Correct |
1 ms |
332 KB |
contestant found the optimal answer: 1 == 1 |
7 |
Correct |
1 ms |
256 KB |
contestant found the optimal answer: 1 == 1 |
8 |
Correct |
1 ms |
332 KB |
contestant found the optimal answer: 1 == 1 |
9 |
Correct |
1 ms |
332 KB |
contestant found the optimal answer: 100400096 == 100400096 |
10 |
Correct |
0 ms |
332 KB |
contestant found the optimal answer: 900320000 == 900320000 |
11 |
Correct |
1 ms |
332 KB |
contestant found the optimal answer: 3698080248 == 3698080248 |
12 |
Correct |
0 ms |
332 KB |
contestant found the optimal answer: 3200320000 == 3200320000 |
13 |
Correct |
0 ms |
320 KB |
contestant found the optimal answer: 140072 == 140072 |
14 |
Correct |
1 ms |
332 KB |
contestant found the optimal answer: 376041456 == 376041456 |
15 |
Correct |
1 ms |
332 KB |
contestant found the optimal answer: 805 == 805 |
16 |
Correct |
1 ms |
332 KB |
contestant found the optimal answer: 900189994 == 900189994 |
17 |
Correct |
1 ms |
332 KB |
contestant found the optimal answer: 999919994 == 999919994 |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
332 KB |
contestant found the optimal answer: 1093956 == 1093956 |
2 |
Correct |
1 ms |
332 KB |
contestant found the optimal answer: 302460000 == 302460000 |
3 |
Correct |
1 ms |
332 KB |
contestant found the optimal answer: 122453454361 == 122453454361 |
4 |
Correct |
0 ms |
332 KB |
contestant found the optimal answer: 93663683509 == 93663683509 |
5 |
Correct |
0 ms |
332 KB |
contestant found the optimal answer: 1005304678 == 1005304678 |
6 |
Correct |
1 ms |
332 KB |
contestant found the optimal answer: 933702 == 933702 |
7 |
Correct |
1 ms |
332 KB |
contestant found the optimal answer: 25082842857 == 25082842857 |
8 |
Correct |
1 ms |
332 KB |
contestant found the optimal answer: 687136 == 687136 |
9 |
Correct |
1 ms |
388 KB |
contestant found the optimal answer: 27295930079 == 27295930079 |
10 |
Correct |
1 ms |
332 KB |
contestant found the optimal answer: 29000419931 == 29000419931 |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
460 KB |
contestant found the optimal answer: 610590000 == 610590000 |
2 |
Correct |
1 ms |
460 KB |
contestant found the optimal answer: 311760000 == 311760000 |
3 |
Correct |
1 ms |
460 KB |
contestant found the optimal answer: 1989216017013 == 1989216017013 |
4 |
Correct |
1 ms |
460 KB |
contestant found the optimal answer: 1499437552673 == 1499437552673 |
5 |
Correct |
1 ms |
460 KB |
contestant found the optimal answer: 1019625819 == 1019625819 |
6 |
Correct |
1 ms |
460 KB |
contestant found the optimal answer: 107630884 == 107630884 |
7 |
Correct |
1 ms |
460 KB |
contestant found the optimal answer: 475357671774 == 475357671774 |
8 |
Correct |
1 ms |
460 KB |
contestant found the optimal answer: 193556962 == 193556962 |
9 |
Correct |
1 ms |
460 KB |
contestant found the optimal answer: 482389919803 == 482389919803 |
10 |
Correct |
1 ms |
460 KB |
contestant found the optimal answer: 490686959791 == 490686959791 |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
1100 KB |
contestant found the optimal answer: 21503404 == 21503404 |
2 |
Correct |
1 ms |
1100 KB |
contestant found the optimal answer: 140412195 == 140412195 |
3 |
Correct |
5 ms |
1100 KB |
contestant found the optimal answer: 49729674225461 == 49729674225461 |
4 |
Correct |
1 ms |
1100 KB |
contestant found the optimal answer: 37485571387523 == 37485571387523 |
5 |
Correct |
6 ms |
1100 KB |
contestant found the optimal answer: 679388326 == 679388326 |
6 |
Correct |
5 ms |
1100 KB |
contestant found the optimal answer: 4699030287 == 4699030287 |
7 |
Correct |
6 ms |
1100 KB |
contestant found the optimal answer: 12418819758185 == 12418819758185 |
8 |
Correct |
4 ms |
1100 KB |
contestant found the optimal answer: 31093317350 == 31093317350 |
9 |
Correct |
2 ms |
1100 KB |
contestant found the optimal answer: 12194625429236 == 12194625429236 |
10 |
Correct |
3 ms |
1100 KB |
contestant found the optimal answer: 12345131038664 == 12345131038664 |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
7 ms |
8524 KB |
contestant found the optimal answer: 1818678304 == 1818678304 |
2 |
Correct |
5 ms |
8524 KB |
contestant found the optimal answer: 1326260195 == 1326260195 |
3 |
Correct |
50 ms |
8524 KB |
contestant found the optimal answer: 4973126687469639 == 4973126687469639 |
4 |
Correct |
6 ms |
8640 KB |
contestant found the optimal answer: 3748491676694116 == 3748491676694116 |
5 |
Correct |
42 ms |
8592 KB |
contestant found the optimal answer: 1085432199 == 1085432199 |
6 |
Correct |
45 ms |
8524 KB |
contestant found the optimal answer: 514790755404 == 514790755404 |
7 |
Correct |
47 ms |
8628 KB |
contestant found the optimal answer: 1256105310476641 == 1256105310476641 |
8 |
Correct |
33 ms |
8636 KB |
contestant found the optimal answer: 3099592898816 == 3099592898816 |
9 |
Correct |
39 ms |
8524 KB |
contestant found the optimal answer: 1241131419367412 == 1241131419367412 |
10 |
Correct |
50 ms |
8616 KB |
contestant found the optimal answer: 1243084101967798 == 1243084101967798 |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
48 ms |
82848 KB |
contestant found the optimal answer: 19795776960 == 19795776960 |
2 |
Correct |
58 ms |
83008 KB |
contestant found the optimal answer: 19874432173 == 19874432173 |
3 |
Correct |
564 ms |
83512 KB |
contestant found the optimal answer: 497313449256899208 == 497313449256899208 |
4 |
Correct |
51 ms |
83268 KB |
contestant found the optimal answer: 374850090734572421 == 374850090734572421 |
5 |
Correct |
695 ms |
83004 KB |
contestant found the optimal answer: 36183271951 == 36183271951 |
6 |
Correct |
480 ms |
82944 KB |
contestant found the optimal answer: 51629847150471 == 51629847150471 |
7 |
Correct |
512 ms |
83396 KB |
contestant found the optimal answer: 124074747024496432 == 124074747024496432 |
8 |
Correct |
372 ms |
83256 KB |
contestant found the optimal answer: 309959349080800 == 309959349080800 |
9 |
Correct |
441 ms |
83268 KB |
contestant found the optimal answer: 124113525649823701 == 124113525649823701 |
10 |
Correct |
563 ms |
83200 KB |
contestant found the optimal answer: 124309619349406845 == 124309619349406845 |