#include <bits/stdc++.h>
using namespace std;
typedef long long int ll;
typedef long double ld;
#define pb push_back
#define pf push_front
#define fi first
#define se second
const ll mod = 1e9+7, mxn = 1e5+7;
ll dp[mxn], old_dp[mxn], sum = 0, all_pair = 0, ans = 0, pfs_2[mxn];
int n, k, trace[mxn][207], a[mxn], pfs[mxn];
ll get(int l, int r)
{
ll ansx = ((ll)pfs[r]-pfs[l-1])*((ll)pfs[r]-pfs[l-1])-pfs_2[r]+pfs_2[l-1];
return ansx>>1;
}
void dnc(int j, int l, int r, int opt_l, int opt_r)
{
int m = (r+l)>>1;
pair<ll,int> res = {1e18, opt_l};
for (int i = min(m,opt_r); i >= opt_l; i--)
{
ll c = old_dp[i-1]+get(i,m);
if (res.fi > c) {res = {c,i};}
}
dp[m] = res.fi; trace[m][j] = res.se;
if (l <= m-1) dnc(j,l,m-1,opt_l,res.se);
if (m+1 <= r) dnc(j,m+1,r,res.se,opt_r);
}
signed main()
{
ios_base::sync_with_stdio(0); cin.tie(0); cout.tie(0);
// freopen("test.inp","r",stdin); freopen("test.out","w",stdout); freopen("test.err","w",stderr);
cin >> n >> k; k++;
for (int i = 1; i <= n; i++)
{
cin >> a[i];
pfs[i] = pfs[i-1]+a[i];
pfs_2[i] = pfs_2[i-1]+a[i]*a[i];
}
for (int i = 1; i <= n; i++) {dp[i] = get(1,i);}
for (int i = 2; i <= k; i++)
{
for (ll j = 1; j <= n; j++) old_dp[j] = dp[j];
dnc(i,1,n,1,n);
}
cout << get(1,n)-dp[n] << '\n';
vector<int> v;
while (k > 1)
{
v.pb(trace[n][k]-1);
n = trace[n][k]-1;
k--;
}
reverse(v.begin(),v.end());
for (int i : v) cout << i << ' ';
}
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
1 ms |
2392 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 |
1 ms |
348 KB |
contestant found the optimal answer: 1 == 1 |
| 7 |
Correct |
0 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 |
0 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 |
1 ms |
348 KB |
contestant found the optimal answer: 900189994 == 900189994 |
| 17 |
Correct |
0 ms |
428 KB |
contestant found the optimal answer: 999919994 == 999919994 |
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
0 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 |
0 ms |
348 KB |
contestant found the optimal answer: 933702 == 933702 |
| 7 |
Correct |
0 ms |
348 KB |
contestant found the optimal answer: 25082842857 == 25082842857 |
| 8 |
Correct |
0 ms |
348 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 |
0 ms |
604 KB |
contestant found the optimal answer: 610590000 == 610590000 |
| 2 |
Correct |
0 ms |
604 KB |
contestant found the optimal answer: 311760000 == 311760000 |
| 3 |
Correct |
1 ms |
604 KB |
contestant found the optimal answer: 1989216017013 == 1989216017013 |
| 4 |
Correct |
0 ms |
2652 KB |
contestant found the optimal answer: 1499437552673 == 1499437552673 |
| 5 |
Correct |
1 ms |
604 KB |
contestant found the optimal answer: 1019625819 == 1019625819 |
| 6 |
Correct |
2 ms |
600 KB |
contestant found the optimal answer: 107630884 == 107630884 |
| 7 |
Correct |
1 ms |
604 KB |
contestant found the optimal answer: 475357671774 == 475357671774 |
| 8 |
Correct |
1 ms |
600 KB |
contestant found the optimal answer: 193556962 == 193556962 |
| 9 |
Correct |
1 ms |
2652 KB |
contestant found the optimal answer: 482389919803 == 482389919803 |
| 10 |
Correct |
0 ms |
604 KB |
contestant found the optimal answer: 490686959791 == 490686959791 |
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
1 ms |
1112 KB |
contestant found the optimal answer: 21503404 == 21503404 |
| 2 |
Correct |
1 ms |
1116 KB |
contestant found the optimal answer: 140412195 == 140412195 |
| 3 |
Correct |
3 ms |
1336 KB |
contestant found the optimal answer: 49729674225461 == 49729674225461 |
| 4 |
Correct |
0 ms |
1116 KB |
contestant found the optimal answer: 37485571387523 == 37485571387523 |
| 5 |
Correct |
4 ms |
1116 KB |
contestant found the optimal answer: 679388326 == 679388326 |
| 6 |
Correct |
4 ms |
1116 KB |
contestant found the optimal answer: 4699030287 == 4699030287 |
| 7 |
Correct |
4 ms |
1116 KB |
contestant found the optimal answer: 12418819758185 == 12418819758185 |
| 8 |
Correct |
3 ms |
1344 KB |
contestant found the optimal answer: 31093317350 == 31093317350 |
| 9 |
Correct |
2 ms |
1116 KB |
contestant found the optimal answer: 12194625429236 == 12194625429236 |
| 10 |
Correct |
2 ms |
1116 KB |
contestant found the optimal answer: 12345131038664 == 12345131038664 |
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
4 ms |
8796 KB |
contestant found the optimal answer: 1818678304 == 1818678304 |
| 2 |
Correct |
4 ms |
8796 KB |
contestant found the optimal answer: 1326260195 == 1326260195 |
| 3 |
Correct |
44 ms |
8888 KB |
contestant found the optimal answer: 4973126687469639 == 4973126687469639 |
| 4 |
Correct |
4 ms |
8796 KB |
contestant found the optimal answer: 3748491676694116 == 3748491676694116 |
| 5 |
Correct |
49 ms |
8796 KB |
contestant found the optimal answer: 1085432199 == 1085432199 |
| 6 |
Correct |
44 ms |
10856 KB |
contestant found the optimal answer: 514790755404 == 514790755404 |
| 7 |
Correct |
43 ms |
8904 KB |
contestant found the optimal answer: 1256105310476641 == 1256105310476641 |
| 8 |
Correct |
31 ms |
9048 KB |
contestant found the optimal answer: 3099592898816 == 3099592898816 |
| 9 |
Correct |
43 ms |
8796 KB |
contestant found the optimal answer: 1241131419367412 == 1241131419367412 |
| 10 |
Correct |
51 ms |
8796 KB |
contestant found the optimal answer: 1243084101967798 == 1243084101967798 |
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
44 ms |
84568 KB |
contestant found the optimal answer: 19795776960 == 19795776960 |
| 2 |
Correct |
45 ms |
84560 KB |
contestant found the optimal answer: 19874432173 == 19874432173 |
| 3 |
Correct |
479 ms |
84556 KB |
contestant found the optimal answer: 497313449256899208 == 497313449256899208 |
| 4 |
Correct |
38 ms |
84560 KB |
contestant found the optimal answer: 374850090734572421 == 374850090734572421 |
| 5 |
Correct |
891 ms |
84796 KB |
contestant found the optimal answer: 36183271951 == 36183271951 |
| 6 |
Correct |
554 ms |
84564 KB |
contestant found the optimal answer: 51629847150471 == 51629847150471 |
| 7 |
Correct |
501 ms |
84592 KB |
contestant found the optimal answer: 124074747024496432 == 124074747024496432 |
| 8 |
Correct |
362 ms |
84584 KB |
contestant found the optimal answer: 309959349080800 == 309959349080800 |
| 9 |
Correct |
469 ms |
84500 KB |
contestant found the optimal answer: 124113525649823701 == 124113525649823701 |
| 10 |
Correct |
604 ms |
84588 KB |
contestant found the optimal answer: 124309619349406845 == 124309619349406845 |
