/*
dp[i][j]=max(dp[k][j-1]+(s[i]-s[k])*s[k])
for j-1<=k<i
s[i]*s[k]-s[k]^2+dp[k][j-1]
a=s[k]
b=-s[k]*s[k]+dp[k][j-1]
*/
#include <bits/stdc++.h>
#define sz(x) ((int)x.size())
#define all(x) (x).begin(), (x).end()
#define fi first
#define se second
using namespace std;
typedef long long ll;
typedef long double ld;
typedef pair<int,int> pii;
typedef pair<ll,ll> pll;
struct line {
int a;ll b;int i;
};
struct CHT {
int last,top;
line ln[100010];
inline bool Check(line& a,line& b,line& c) {
return (double)(a.b-b.b)*(c.a-b.a)<(double)(b.b-c.b)*(b.a-a.a);
}
inline bool Check2(line& a,line& b,int x) {
return (ll)x*(b.a-a.a)<a.b-b.b;
}
void insert(line u) {
if(top&&ln[top-1].a==u.a&&ln[top-1].b>=u.b) return;
while(top>=2&&!Check(ln[top-2],ln[top-1],u)) top--;
ln[top++]=u;
}
line query(int x) {
last=min(last,top-1);
while(last+1<top&&!Check2(ln[last],ln[last+1],x))last++;
return ln[last];
}
void clear() {
last=0; top=0;
}
}cht;
int n,k,s[100010],tr[202][100010];
ll dp[100010];
int main() {
scanf("%d%d",&n,&k);k++;
int i,j;
for(i=1;i<=n;i++) {
scanf("%d",s+i);
s[i]+=s[i-1];
}
line v;
for(j=2;j<=k;j++) {
cht.clear();
cht.insert({s[j-1],-(ll)s[j-1]*s[j-1]+dp[j-1],j-1});
for(i=j;i<=n;i++) {
v=cht.query(s[i]);
cht.insert({s[i],-(ll)s[i]*s[i]+dp[i],i});
dp[i]=(ll)v.a*s[i]+v.b;
tr[j][i]=v.i;
}
}
printf("%lld\n",dp[n]);
vector<int> idx;
while(k>1) {
idx.push_back(tr[k][n]);
n=tr[k][n]; k--;
}
reverse(all(idx));
for(auto& it:idx) printf("%d ",it);
return 0;
}
Compilation message
sequence.cpp: In function 'int main()':
sequence.cpp:48:7: warning: ignoring return value of 'int scanf(const char*, ...)', declared with attribute warn_unused_result [-Wunused-result]
scanf("%d%d",&n,&k);k++;
~~~~~^~~~~~~~~~~~~~
sequence.cpp:51:8: warning: ignoring return value of 'int scanf(const char*, ...)', declared with attribute warn_unused_result [-Wunused-result]
scanf("%d",s+i);
~~~~~^~~~~~~~~~
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
2 ms |
376 KB |
contestant found the optimal answer: 108 == 108 |
| 2 |
Correct |
2 ms |
376 KB |
contestant found the optimal answer: 999 == 999 |
| 3 |
Correct |
2 ms |
376 KB |
contestant found the optimal answer: 0 == 0 |
| 4 |
Correct |
2 ms |
376 KB |
contestant found the optimal answer: 1542524 == 1542524 |
| 5 |
Correct |
2 ms |
376 KB |
contestant found the optimal answer: 4500000000 == 4500000000 |
| 6 |
Correct |
2 ms |
376 KB |
contestant found the optimal answer: 1 == 1 |
| 7 |
Correct |
2 ms |
376 KB |
contestant found the optimal answer: 1 == 1 |
| 8 |
Correct |
2 ms |
376 KB |
contestant found the optimal answer: 1 == 1 |
| 9 |
Correct |
2 ms |
376 KB |
contestant found the optimal answer: 100400096 == 100400096 |
| 10 |
Correct |
2 ms |
348 KB |
contestant found the optimal answer: 900320000 == 900320000 |
| 11 |
Correct |
2 ms |
376 KB |
contestant found the optimal answer: 3698080248 == 3698080248 |
| 12 |
Correct |
2 ms |
376 KB |
contestant found the optimal answer: 3200320000 == 3200320000 |
| 13 |
Correct |
2 ms |
376 KB |
contestant found the optimal answer: 140072 == 140072 |
| 14 |
Correct |
2 ms |
376 KB |
contestant found the optimal answer: 376041456 == 376041456 |
| 15 |
Correct |
2 ms |
376 KB |
contestant found the optimal answer: 805 == 805 |
| 16 |
Correct |
2 ms |
376 KB |
contestant found the optimal answer: 900189994 == 900189994 |
| 17 |
Correct |
2 ms |
376 KB |
contestant found the optimal answer: 999919994 == 999919994 |
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
2 ms |
376 KB |
contestant found the optimal answer: 1093956 == 1093956 |
| 2 |
Correct |
2 ms |
376 KB |
contestant found the optimal answer: 302460000 == 302460000 |
| 3 |
Correct |
2 ms |
632 KB |
contestant found the optimal answer: 122453454361 == 122453454361 |
| 4 |
Correct |
2 ms |
376 KB |
contestant found the optimal answer: 93663683509 == 93663683509 |
| 5 |
Correct |
2 ms |
376 KB |
contestant found the optimal answer: 1005304678 == 1005304678 |
| 6 |
Correct |
2 ms |
376 KB |
contestant found the optimal answer: 933702 == 933702 |
| 7 |
Correct |
2 ms |
504 KB |
contestant found the optimal answer: 25082842857 == 25082842857 |
| 8 |
Correct |
2 ms |
376 KB |
contestant found the optimal answer: 687136 == 687136 |
| 9 |
Correct |
2 ms |
376 KB |
contestant found the optimal answer: 27295930079 == 27295930079 |
| 10 |
Correct |
2 ms |
376 KB |
contestant found the optimal answer: 29000419931 == 29000419931 |
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
2 ms |
376 KB |
contestant found the optimal answer: 610590000 == 610590000 |
| 2 |
Correct |
2 ms |
376 KB |
contestant found the optimal answer: 311760000 == 311760000 |
| 3 |
Correct |
3 ms |
1400 KB |
contestant found the optimal answer: 1989216017013 == 1989216017013 |
| 4 |
Correct |
3 ms |
376 KB |
contestant found the optimal answer: 1499437552673 == 1499437552673 |
| 5 |
Correct |
3 ms |
1016 KB |
contestant found the optimal answer: 1019625819 == 1019625819 |
| 6 |
Correct |
3 ms |
1272 KB |
contestant found the optimal answer: 107630884 == 107630884 |
| 7 |
Correct |
3 ms |
1400 KB |
contestant found the optimal answer: 475357671774 == 475357671774 |
| 8 |
Correct |
4 ms |
632 KB |
contestant found the optimal answer: 193556962 == 193556962 |
| 9 |
Correct |
2 ms |
476 KB |
contestant found the optimal answer: 482389919803 == 482389919803 |
| 10 |
Correct |
3 ms |
636 KB |
contestant found the optimal answer: 490686959791 == 490686959791 |
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
2 ms |
376 KB |
contestant found the optimal answer: 21503404 == 21503404 |
| 2 |
Correct |
2 ms |
376 KB |
contestant found the optimal answer: 140412195 == 140412195 |
| 3 |
Correct |
7 ms |
2168 KB |
contestant found the optimal answer: 49729674225461 == 49729674225461 |
| 4 |
Correct |
2 ms |
376 KB |
contestant found the optimal answer: 37485571387523 == 37485571387523 |
| 5 |
Correct |
8 ms |
2168 KB |
contestant found the optimal answer: 679388326 == 679388326 |
| 6 |
Correct |
7 ms |
1840 KB |
contestant found the optimal answer: 4699030287 == 4699030287 |
| 7 |
Correct |
9 ms |
2140 KB |
contestant found the optimal answer: 12418819758185 == 12418819758185 |
| 8 |
Correct |
7 ms |
2168 KB |
contestant found the optimal answer: 31093317350 == 31093317350 |
| 9 |
Correct |
3 ms |
760 KB |
contestant found the optimal answer: 12194625429236 == 12194625429236 |
| 10 |
Correct |
4 ms |
1144 KB |
contestant found the optimal answer: 12345131038664 == 12345131038664 |
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
4 ms |
760 KB |
contestant found the optimal answer: 1818678304 == 1818678304 |
| 2 |
Correct |
4 ms |
760 KB |
contestant found the optimal answer: 1326260195 == 1326260195 |
| 3 |
Correct |
44 ms |
9336 KB |
contestant found the optimal answer: 4973126687469639 == 4973126687469639 |
| 4 |
Correct |
4 ms |
888 KB |
contestant found the optimal answer: 3748491676694116 == 3748491676694116 |
| 5 |
Correct |
41 ms |
5852 KB |
contestant found the optimal answer: 1085432199 == 1085432199 |
| 6 |
Correct |
39 ms |
6652 KB |
contestant found the optimal answer: 514790755404 == 514790755404 |
| 7 |
Correct |
48 ms |
7264 KB |
contestant found the optimal answer: 1256105310476641 == 1256105310476641 |
| 8 |
Correct |
32 ms |
6008 KB |
contestant found the optimal answer: 3099592898816 == 3099592898816 |
| 9 |
Correct |
37 ms |
6776 KB |
contestant found the optimal answer: 1241131419367412 == 1241131419367412 |
| 10 |
Correct |
47 ms |
8540 KB |
contestant found the optimal answer: 1243084101967798 == 1243084101967798 |
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
21 ms |
4600 KB |
contestant found the optimal answer: 19795776960 == 19795776960 |
| 2 |
Correct |
21 ms |
4600 KB |
contestant found the optimal answer: 19874432173 == 19874432173 |
| 3 |
Correct |
416 ms |
82076 KB |
contestant found the optimal answer: 497313449256899208 == 497313449256899208 |
| 4 |
Correct |
22 ms |
5536 KB |
contestant found the optimal answer: 374850090734572421 == 374850090734572421 |
| 5 |
Correct |
616 ms |
81912 KB |
contestant found the optimal answer: 36183271951 == 36183271951 |
| 6 |
Correct |
376 ms |
58488 KB |
contestant found the optimal answer: 51629847150471 == 51629847150471 |
| 7 |
Correct |
458 ms |
63100 KB |
contestant found the optimal answer: 124074747024496432 == 124074747024496432 |
| 8 |
Correct |
316 ms |
52088 KB |
contestant found the optimal answer: 309959349080800 == 309959349080800 |
| 9 |
Correct |
326 ms |
58884 KB |
contestant found the optimal answer: 124113525649823701 == 124113525649823701 |
| 10 |
Correct |
415 ms |
74468 KB |
contestant found the optimal answer: 124309619349406845 == 124309619349406845 |
