Submission #305187

# Submission time Handle Problem Language Result Execution time Memory
305187 2020-09-22T17:12:11 Z MarcoMeijer Split the sequence (APIO14_sequence) C++14
71 / 100
145 ms 131076 KB
#include <bits/stdc++.h>
using namespace std;

// macros
typedef long long ll;
typedef long double ld;
typedef pair<int, int> ii;
typedef pair<ll, ll> lll;
typedef tuple<int, int, int> iii;
typedef vector<int> vi;
typedef vector<ii> vii;
typedef vector<iii> viii;
typedef vector<ll> vll;
typedef vector<lll> vlll;
#define REP(a,b,c) for(int a=int(b); a<int(c); a++)
#define RE(a,c) REP(a,0,c)
#define RE1(a,c) REP(a,1,c+1)
#define REI(a,b,c) REP(a,b,c+1)
#define REV(a,b,c) for(int a=int(c-1); a>=int(b); a--)
#define FOR(a,b) for(auto& a : b)
#define all(a) a.begin(), a.end()
#define INF 1e18
#define EPS 1e-9
#define pb push_back
#define popb pop_back
#define fi first
#define se second
#define sz size()
mt19937_64 rng(chrono::steady_clock::now().time_since_epoch().count());

// input
template<class T> void IN(T& x) {cin >> x;}
template<class H, class... T> void IN(H& h, T&... t) {IN(h); IN(t...); }

// output
template<class T1, class T2> void OUT(const pair<T1,T2>& x);
template<class T> void OUT(const vector<T>& x);
template<class T> void OUT(const T& x) {cout << x;}
template<class H, class... T> void OUT(const H& h, const T&... t) {OUT(h); OUT(t...); }
template<class T1, class T2> void OUT(const pair<T1,T2>& x) {OUT(x.fi,' ',x.se);}
template<class T> void OUT(const vector<T>& x) {RE(i,x.size()) OUT(i==0?"":" ",x[i]);}
template<class... T> void OUTL(const T&... t) {OUT(t..., "\n"); }
template<class H> void OUTLS(const H& h) {OUTL(h); }
template<class H, class... T> void OUTLS(const H& h, const T&... t) {OUT(h,' '); OUTLS(t...); }

//===================//
//  Added libraries  //
//===================//

//===================//
//end added libraries//
//===================//

void program();
int main() {
    ios_base::sync_with_stdio(false);
    cin.tie(NULL);
    cout.tie(NULL);
    program();
}


//===================//
//   begin program   //
//===================//

const int MX = 2e5;

ll n, k;
vll seq;
ll a[MX], sm[MX];
ll dp[MX][250], dpr[MX][250];

ll get(int i, int j) {
    if(j < 0) return 0ll;
    return dp[i][j];
}
void fillSeq(int i, int j) {
    if(j < 0) return;
    seq.pb(dpr[i][j]+1);
    fillSeq(dpr[i][j], j-1);
}
void daq(int j, int l, int r, int lopt, int ropt) {
    if(r<l) return;

    int m=(l+r)/2;

    dp[m][j] = -INF;
    REP(i,lopt,min(m,ropt)+1) {
        ll ndp = (sm[m+1]-sm[i])*sm[i] + get(i-1,j-1);
        if(ndp > dp[m][j]) {
            dp [m][j] = ndp;
            dpr[m][j] = i-1;
        }
    }

    int opt = dpr[m][j]+1;
    daq(j,l,m-1,lopt,opt);
    daq(j,m+1,r,opt,ropt);
}

void program() {
    IN(n,k);
    RE(i,n) IN(a[i]);
    
    sm[0]=0;
    RE(i,n) sm[i+1]=sm[i]+a[i];

    RE(j,k) daq(j,0,n-1,1,n-1);

    OUTL(dp[n-1][k-1]);
    fillSeq(n-1, k-1);
    OUTLS(seq);
}
# Verdict Execution time Memory Grader output
1 Correct 1 ms 384 KB contestant found the optimal answer: 108 == 108
2 Correct 0 ms 384 KB contestant found the optimal answer: 999 == 999
3 Correct 1 ms 384 KB contestant found the optimal answer: 0 == 0
4 Correct 0 ms 384 KB contestant found the optimal answer: 1542524 == 1542524
5 Correct 1 ms 384 KB contestant found the optimal answer: 4500000000 == 4500000000
6 Correct 1 ms 384 KB contestant found the optimal answer: 1 == 1
7 Correct 0 ms 384 KB contestant found the optimal answer: 1 == 1
8 Correct 0 ms 384 KB contestant found the optimal answer: 1 == 1
9 Correct 1 ms 384 KB contestant found the optimal answer: 100400096 == 100400096
10 Correct 1 ms 384 KB contestant found the optimal answer: 900320000 == 900320000
11 Correct 0 ms 384 KB contestant found the optimal answer: 3698080248 == 3698080248
12 Correct 1 ms 384 KB contestant found the optimal answer: 3200320000 == 3200320000
13 Correct 0 ms 384 KB contestant found the optimal answer: 140072 == 140072
14 Correct 0 ms 384 KB contestant found the optimal answer: 376041456 == 376041456
15 Correct 0 ms 384 KB contestant found the optimal answer: 805 == 805
16 Correct 0 ms 384 KB contestant found the optimal answer: 900189994 == 900189994
17 Correct 1 ms 384 KB contestant found the optimal answer: 999919994 == 999919994
# Verdict Execution time Memory Grader output
1 Correct 1 ms 512 KB contestant found the optimal answer: 1093956 == 1093956
2 Correct 1 ms 512 KB contestant found the optimal answer: 302460000 == 302460000
3 Correct 1 ms 512 KB contestant found the optimal answer: 122453454361 == 122453454361
4 Correct 1 ms 512 KB contestant found the optimal answer: 93663683509 == 93663683509
5 Correct 1 ms 512 KB contestant found the optimal answer: 1005304678 == 1005304678
6 Correct 1 ms 512 KB contestant found the optimal answer: 933702 == 933702
7 Correct 1 ms 512 KB contestant found the optimal answer: 25082842857 == 25082842857
8 Correct 1 ms 512 KB contestant found the optimal answer: 687136 == 687136
9 Correct 1 ms 512 KB contestant found the optimal answer: 27295930079 == 27295930079
10 Correct 1 ms 512 KB contestant found the optimal answer: 29000419931 == 29000419931
# Verdict Execution time Memory Grader output
1 Correct 1 ms 1152 KB contestant found the optimal answer: 610590000 == 610590000
2 Correct 1 ms 1152 KB contestant found the optimal answer: 311760000 == 311760000
3 Correct 2 ms 1152 KB contestant found the optimal answer: 1989216017013 == 1989216017013
4 Correct 1 ms 1152 KB contestant found the optimal answer: 1499437552673 == 1499437552673
5 Correct 2 ms 1152 KB contestant found the optimal answer: 1019625819 == 1019625819
6 Correct 2 ms 1152 KB contestant found the optimal answer: 107630884 == 107630884
7 Correct 2 ms 1152 KB contestant found the optimal answer: 475357671774 == 475357671774
8 Correct 1 ms 1152 KB contestant found the optimal answer: 193556962 == 193556962
9 Correct 1 ms 1152 KB contestant found the optimal answer: 482389919803 == 482389919803
10 Correct 2 ms 1152 KB contestant found the optimal answer: 490686959791 == 490686959791
# Verdict Execution time Memory Grader output
1 Correct 3 ms 4328 KB contestant found the optimal answer: 21503404 == 21503404
2 Correct 3 ms 4224 KB contestant found the optimal answer: 140412195 == 140412195
3 Correct 10 ms 4352 KB contestant found the optimal answer: 49729674225461 == 49729674225461
4 Correct 3 ms 4224 KB contestant found the optimal answer: 37485571387523 == 37485571387523
5 Correct 13 ms 4352 KB contestant found the optimal answer: 679388326 == 679388326
6 Correct 11 ms 4352 KB contestant found the optimal answer: 4699030287 == 4699030287
7 Correct 11 ms 4352 KB contestant found the optimal answer: 12418819758185 == 12418819758185
8 Correct 9 ms 4352 KB contestant found the optimal answer: 31093317350 == 31093317350
9 Correct 5 ms 4224 KB contestant found the optimal answer: 12194625429236 == 12194625429236
10 Correct 6 ms 4224 KB contestant found the optimal answer: 12345131038664 == 12345131038664
# Verdict Execution time Memory Grader output
1 Correct 24 ms 39680 KB contestant found the optimal answer: 1818678304 == 1818678304
2 Correct 25 ms 39680 KB contestant found the optimal answer: 1326260195 == 1326260195
3 Correct 136 ms 39704 KB contestant found the optimal answer: 4973126687469639 == 4973126687469639
4 Correct 24 ms 39680 KB contestant found the optimal answer: 3748491676694116 == 3748491676694116
5 Correct 121 ms 39680 KB contestant found the optimal answer: 1085432199 == 1085432199
6 Correct 120 ms 39672 KB contestant found the optimal answer: 514790755404 == 514790755404
7 Correct 122 ms 39680 KB contestant found the optimal answer: 1256105310476641 == 1256105310476641
8 Correct 99 ms 39800 KB contestant found the optimal answer: 3099592898816 == 3099592898816
9 Correct 116 ms 39800 KB contestant found the optimal answer: 1241131419367412 == 1241131419367412
10 Correct 145 ms 39928 KB contestant found the optimal answer: 1243084101967798 == 1243084101967798
# Verdict Execution time Memory Grader output
1 Runtime error 76 ms 131076 KB Execution killed with signal 9 (could be triggered by violating memory limits)
2 Halted 0 ms 0 KB -