Submission #721331

# Submission time Handle Problem Language Result Execution time Memory
721331 2023-04-10T17:10:14 Z n0sk1ll Split the sequence (APIO14_sequence) C++14
100 / 100
1217 ms 81788 KB
#include <bits/stdc++.h>

#define FAST ios_base::sync_with_stdio(false);cin.tie(0);cout.tie(0);cerr.tie(0)
#define mp make_pair
#define xx first
#define yy second
#define pb push_back
#define pf push_front
#define popb pop_back
#define popf pop_front
#define all(x) x.begin(),x.end()
#define ff(i,a,b) for (int i = a; i < b; i++)
#define fff(i,a,b) for (int i = a; i <= b; i++)
#define bff(i,a,b) for (int i = b-1; i >= a; i--)
#define bfff(i,a,b) for (int i = b; i >= a; i--)

using namespace std;
long double typedef ld;
unsigned int typedef ui;
long long int typedef li;
pair<int,int> typedef pii;
pair<li,li> typedef pli;
pair<ld,ld> typedef pld;
vector<vector<int>> typedef graph;
unsigned long long int typedef ull;
//const int mod = 998244353;
const int mod = 1000000007;







//Note to self: Check for overflow

int a[100005];
li pre[100005];

li dp[2][100005];
int gde[204][100005];

li cost(int l, int r)
{
    return (pre[r]-pre[l-1])*(pre[r]-pre[l-1]);
}

void conq(int l, int r, int optl, int optr, bool cur, int k)
{
    if (l>r) return;
    int mid=(l+r)/2;

    dp[cur][mid]=(1ll<<61);
    int opt;
    fff(i,optl,min(mid-1,optr))
    {
        li sta=dp[!cur][i]+cost(i+1,mid);
        if (sta<dp[cur][mid]){
            dp[cur][mid]=sta;
            opt=i;
        }
    }

    //cout<<k<<" "<<mid<<": "<<opt<<endl;

    gde[k][mid]=opt;

    conq(l,mid-1,optl,opt,cur,k);
    conq(mid+1,r,opt,optr,cur,k);
}

void rekurz(int k, int n)
{
    if (k<2) return;
    rekurz(k-1,gde[k][n]);
    cout<<gde[k][n]<<" ";
}

int main()
{
    int n,k; cin>>n>>k; k++;
    fff(i,1,n) cin>>a[i];
    fff(i,1,n) pre[i]=pre[i-1]+a[i];

    bool cur=0;
    fff(i,1,n) dp[cur][i]=cost(1,i);
    fff(j,2,k) cur=!cur,conq(j,n,j-1,n,cur,j);

    li sum=0;
    fff(i,1,n) sum+=a[i];
    cout<<(sum*sum-dp[cur][n])/2<<"\n";
    rekurz(k,n);
}

//Note to self: Check for overflow

/*

7 3
4 1 3 4 0 2 3

7 6
4 1 3 4 0 2 3

4
-1 0
1 0
0 1
0 2

*/

Compilation message

sequence.cpp: In function 'void conq(int, int, int, int, bool, int)':
sequence.cpp:69:9: warning: 'opt' may be used uninitialized in this function [-Wmaybe-uninitialized]
   69 |     conq(mid+1,r,opt,optr,cur,k);
      |     ~~~~^~~~~~~~~~~~~~~~~~~~~~~~
# Verdict Execution time Memory Grader output
1 Correct 1 ms 340 KB contestant found the optimal answer: 108 == 108
2 Correct 1 ms 340 KB contestant found the optimal answer: 999 == 999
3 Correct 1 ms 340 KB contestant found the optimal answer: 0 == 0
4 Correct 1 ms 304 KB contestant found the optimal answer: 1542524 == 1542524
5 Correct 1 ms 340 KB contestant found the optimal answer: 4500000000 == 4500000000
6 Correct 1 ms 304 KB contestant found the optimal answer: 1 == 1
7 Correct 1 ms 340 KB contestant found the optimal answer: 1 == 1
8 Correct 1 ms 340 KB contestant found the optimal answer: 1 == 1
9 Correct 0 ms 304 KB contestant found the optimal answer: 100400096 == 100400096
10 Correct 1 ms 340 KB contestant found the optimal answer: 900320000 == 900320000
11 Correct 1 ms 340 KB contestant found the optimal answer: 3698080248 == 3698080248
12 Correct 1 ms 340 KB contestant found the optimal answer: 3200320000 == 3200320000
13 Correct 1 ms 304 KB contestant found the optimal answer: 140072 == 140072
14 Correct 1 ms 340 KB contestant found the optimal answer: 376041456 == 376041456
15 Correct 1 ms 340 KB contestant found the optimal answer: 805 == 805
16 Correct 1 ms 340 KB contestant found the optimal answer: 900189994 == 900189994
17 Correct 1 ms 340 KB contestant found the optimal answer: 999919994 == 999919994
# Verdict Execution time Memory Grader output
1 Correct 1 ms 340 KB contestant found the optimal answer: 1093956 == 1093956
2 Correct 1 ms 340 KB contestant found the optimal answer: 302460000 == 302460000
3 Correct 1 ms 468 KB contestant found the optimal answer: 122453454361 == 122453454361
4 Correct 1 ms 340 KB contestant found the optimal answer: 93663683509 == 93663683509
5 Correct 1 ms 340 KB contestant found the optimal answer: 1005304678 == 1005304678
6 Correct 1 ms 340 KB contestant found the optimal answer: 933702 == 933702
7 Correct 1 ms 432 KB contestant found the optimal answer: 25082842857 == 25082842857
8 Correct 1 ms 340 KB contestant found the optimal answer: 687136 == 687136
9 Correct 1 ms 340 KB contestant found the optimal answer: 27295930079 == 27295930079
10 Correct 1 ms 340 KB contestant found the optimal answer: 29000419931 == 29000419931
# Verdict Execution time Memory Grader output
1 Correct 1 ms 340 KB contestant found the optimal answer: 610590000 == 610590000
2 Correct 1 ms 308 KB contestant found the optimal answer: 311760000 == 311760000
3 Correct 2 ms 1364 KB contestant found the optimal answer: 1989216017013 == 1989216017013
4 Correct 1 ms 304 KB contestant found the optimal answer: 1499437552673 == 1499437552673
5 Correct 2 ms 980 KB contestant found the optimal answer: 1019625819 == 1019625819
6 Correct 2 ms 1236 KB contestant found the optimal answer: 107630884 == 107630884
7 Correct 2 ms 1364 KB contestant found the optimal answer: 475357671774 == 475357671774
8 Correct 1 ms 596 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 596 KB contestant found the optimal answer: 490686959791 == 490686959791
# Verdict Execution time Memory Grader output
1 Correct 1 ms 340 KB contestant found the optimal answer: 21503404 == 21503404
2 Correct 1 ms 340 KB contestant found the optimal answer: 140412195 == 140412195
3 Correct 6 ms 1948 KB contestant found the optimal answer: 49729674225461 == 49729674225461
4 Correct 1 ms 340 KB contestant found the optimal answer: 37485571387523 == 37485571387523
5 Correct 9 ms 2004 KB contestant found the optimal answer: 679388326 == 679388326
6 Correct 7 ms 1748 KB contestant found the optimal answer: 4699030287 == 4699030287
7 Correct 8 ms 2004 KB contestant found the optimal answer: 12418819758185 == 12418819758185
8 Correct 5 ms 2004 KB contestant found the optimal answer: 31093317350 == 31093317350
9 Correct 3 ms 792 KB contestant found the optimal answer: 12194625429236 == 12194625429236
10 Correct 4 ms 980 KB contestant found the optimal answer: 12345131038664 == 12345131038664
# Verdict Execution time Memory Grader output
1 Correct 4 ms 724 KB contestant found the optimal answer: 1818678304 == 1818678304
2 Correct 3 ms 720 KB contestant found the optimal answer: 1326260195 == 1326260195
3 Correct 53 ms 9264 KB contestant found the optimal answer: 4973126687469639 == 4973126687469639
4 Correct 4 ms 724 KB contestant found the optimal answer: 3748491676694116 == 3748491676694116
5 Correct 70 ms 5784 KB contestant found the optimal answer: 1085432199 == 1085432199
6 Correct 65 ms 6672 KB contestant found the optimal answer: 514790755404 == 514790755404
7 Correct 60 ms 7108 KB contestant found the optimal answer: 1256105310476641 == 1256105310476641
8 Correct 39 ms 5832 KB contestant found the optimal answer: 3099592898816 == 3099592898816
9 Correct 58 ms 6612 KB contestant found the optimal answer: 1241131419367412 == 1241131419367412
10 Correct 73 ms 8392 KB contestant found the optimal answer: 1243084101967798 == 1243084101967798
# Verdict Execution time Memory Grader output
1 Correct 32 ms 4172 KB contestant found the optimal answer: 19795776960 == 19795776960
2 Correct 32 ms 4280 KB contestant found the optimal answer: 19874432173 == 19874432173
3 Correct 554 ms 81788 KB contestant found the optimal answer: 497313449256899208 == 497313449256899208
4 Correct 34 ms 4684 KB contestant found the optimal answer: 374850090734572421 == 374850090734572421
5 Correct 1217 ms 81472 KB contestant found the optimal answer: 36183271951 == 36183271951
6 Correct 754 ms 57976 KB contestant found the optimal answer: 51629847150471 == 51629847150471
7 Correct 618 ms 62156 KB contestant found the optimal answer: 124074747024496432 == 124074747024496432
8 Correct 442 ms 51068 KB contestant found the optimal answer: 309959349080800 == 309959349080800
9 Correct 610 ms 58176 KB contestant found the optimal answer: 124113525649823701 == 124113525649823701
10 Correct 801 ms 73756 KB contestant found the optimal answer: 124309619349406845 == 124309619349406845