Submission #36803

# Submission time Handle Problem Language Result Execution time Memory
36803 2017-12-14T19:01:06 Z imaxblue Split the sequence (APIO14_sequence) C++14
100 / 100
1493 ms 93000 KB
#include <bits/stdc++.h>
using namespace std;
#define ll long long
#define mp make_pair
#define pb push_back
#define x first
#define y second
#define pii pair<ll, ll>
#define p3i pair<pii, ll>
#define pll pair<ll, int>
#define p3l pair<pll, ll>
#define lseg L, (L+R)/2, N*2+1
#define rseg (L+R)/2+1, R, N*2+2
#define ub upper_bound
#define lb lower_bound
#define p_q priority_queue
#define MN 1000000009

int pre[100005][205], l2, n, k, a, p[205], lst;
ll ans=-1, t, psa[100005];
deque<pair<ll, int> > mon[205];
void out(int P, int K){
    if (K!=0) out(pre[P][K], K-1);
    printf("%i ", P);
}
ll cross(pll A, pll O, pll B){
    return (A.x-O.x)*(-psa[B.y]+psa[O.y])-(B.x-O.x)*(-psa[A.y]+psa[O.y]);
}
void add(ll K, pair<ll, int> P){
    while(mon[K].size()>p[K]+1 && cross(mon[K][mon[K].size()-2], mon[K].back(), P)<=0){
        mon[K].pop_back();
    }
    mon[K].pb(P);
}
int main(){
    mon[0].pb(mp(0, 0));
    cin >> n >> k;
    for (int l=1; l<=n; ++l){
        cin >> a; psa[l]=a+psa[l-1];
    }
    for (int l=1; l<=n; ++l){
        for (l2=k-1; l2>=0; --l2){
            if (mon[l2].empty()) continue;
            while(p[l2]+1<mon[l2].size() &&
                (psa[n]-psa[l])*(psa[l]-psa[mon[l2][p[l2]].y])+mon[l2][p[l2]].x<=
                (psa[n]-psa[l])*(psa[l]-psa[mon[l2][p[l2]+1].y])+mon[l2][p[l2]+1].x)
                mon[l2].pop_front();//, cout << "*";
            pre[l][l2]=mon[l2][p[l2]].y;
            t=(psa[n]-psa[l])*(psa[l]-psa[mon[l2][p[l2]].y])+mon[l2][p[l2]].x;
            //cout << t << ' ' ;
            if (l2==k-1 && t>ans){
                ans=t; lst=l;
            }
            add(l2+1, mp(t, l));
        }
        //cout << endl;
    }
    cout << ans << endl;
    if (lst!=-1) out(lst, k-1);
    return 0;
}

Compilation message

sequence.cpp: In function 'void add(long long int, std::pair<long long int, int>)':
sequence.cpp:30:24: warning: comparison between signed and unsigned integer expressions [-Wsign-compare]
     while(mon[K].size()>p[K]+1 && cross(mon[K][mon[K].size()-2], mon[K].back(), P)<=0){
                        ^
sequence.cpp: In function 'int main()':
sequence.cpp:44:26: warning: comparison between signed and unsigned integer expressions [-Wsign-compare]
             while(p[l2]+1<mon[l2].size() &&
                          ^
# Verdict Execution time Memory Grader output
1 Correct 0 ms 83092 KB contestant found the optimal answer: 108 == 108
2 Correct 0 ms 83092 KB contestant found the optimal answer: 999 == 999
3 Correct 0 ms 83092 KB contestant found the optimal answer: 0 == 0
4 Correct 0 ms 83092 KB contestant found the optimal answer: 1542524 == 1542524
5 Correct 0 ms 83092 KB contestant found the optimal answer: 4500000000 == 4500000000
6 Correct 0 ms 83092 KB contestant found the optimal answer: 1 == 1
7 Correct 0 ms 83092 KB contestant found the optimal answer: 1 == 1
8 Correct 0 ms 83092 KB contestant found the optimal answer: 1 == 1
9 Correct 0 ms 83092 KB contestant found the optimal answer: 100400096 == 100400096
10 Correct 0 ms 83092 KB contestant found the optimal answer: 900320000 == 900320000
11 Correct 0 ms 83092 KB contestant found the optimal answer: 3698080248 == 3698080248
12 Correct 0 ms 83092 KB contestant found the optimal answer: 3200320000 == 3200320000
13 Correct 0 ms 83092 KB contestant found the optimal answer: 140072 == 140072
14 Correct 0 ms 83092 KB contestant found the optimal answer: 376041456 == 376041456
15 Correct 0 ms 83092 KB contestant found the optimal answer: 805 == 805
16 Correct 0 ms 83092 KB contestant found the optimal answer: 900189994 == 900189994
17 Correct 0 ms 83092 KB contestant found the optimal answer: 999919994 == 999919994
# Verdict Execution time Memory Grader output
1 Correct 0 ms 83092 KB contestant found the optimal answer: 1093956 == 1093956
2 Correct 0 ms 83092 KB contestant found the optimal answer: 302460000 == 302460000
3 Correct 0 ms 83092 KB contestant found the optimal answer: 122453454361 == 122453454361
4 Correct 0 ms 83092 KB contestant found the optimal answer: 93663683509 == 93663683509
5 Correct 0 ms 83092 KB contestant found the optimal answer: 1005304678 == 1005304678
6 Correct 0 ms 83092 KB contestant found the optimal answer: 933702 == 933702
7 Correct 0 ms 83092 KB contestant found the optimal answer: 25082842857 == 25082842857
8 Correct 0 ms 83092 KB contestant found the optimal answer: 687136 == 687136
9 Correct 0 ms 83092 KB contestant found the optimal answer: 27295930079 == 27295930079
10 Correct 0 ms 83092 KB contestant found the optimal answer: 29000419931 == 29000419931
# Verdict Execution time Memory Grader output
1 Correct 0 ms 83092 KB contestant found the optimal answer: 610590000 == 610590000
2 Correct 0 ms 83092 KB contestant found the optimal answer: 311760000 == 311760000
3 Correct 3 ms 83092 KB contestant found the optimal answer: 1989216017013 == 1989216017013
4 Correct 0 ms 83092 KB contestant found the optimal answer: 1499437552673 == 1499437552673
5 Correct 0 ms 83092 KB contestant found the optimal answer: 1019625819 == 1019625819
6 Correct 0 ms 83092 KB contestant found the optimal answer: 107630884 == 107630884
7 Correct 0 ms 83092 KB contestant found the optimal answer: 475357671774 == 475357671774
8 Correct 0 ms 83092 KB contestant found the optimal answer: 193556962 == 193556962
9 Correct 0 ms 83092 KB contestant found the optimal answer: 482389919803 == 482389919803
10 Correct 0 ms 83092 KB contestant found the optimal answer: 490686959791 == 490686959791
# Verdict Execution time Memory Grader output
1 Correct 0 ms 83092 KB contestant found the optimal answer: 21503404 == 21503404
2 Correct 0 ms 83092 KB contestant found the optimal answer: 140412195 == 140412195
3 Correct 9 ms 83092 KB contestant found the optimal answer: 49729674225461 == 49729674225461
4 Correct 0 ms 83092 KB contestant found the optimal answer: 37485571387523 == 37485571387523
5 Correct 9 ms 83092 KB contestant found the optimal answer: 679388326 == 679388326
6 Correct 6 ms 83092 KB contestant found the optimal answer: 4699030287 == 4699030287
7 Correct 6 ms 83092 KB contestant found the optimal answer: 12418819758185 == 12418819758185
8 Correct 6 ms 83356 KB contestant found the optimal answer: 31093317350 == 31093317350
9 Correct 3 ms 83092 KB contestant found the optimal answer: 12194625429236 == 12194625429236
10 Correct 3 ms 83092 KB contestant found the optimal answer: 12345131038664 == 12345131038664
# Verdict Execution time Memory Grader output
1 Correct 3 ms 83224 KB contestant found the optimal answer: 1818678304 == 1818678304
2 Correct 6 ms 83352 KB contestant found the optimal answer: 1326260195 == 1326260195
3 Correct 109 ms 84016 KB contestant found the optimal answer: 4973126687469639 == 4973126687469639
4 Correct 6 ms 83356 KB contestant found the optimal answer: 3748491676694116 == 3748491676694116
5 Correct 66 ms 83880 KB contestant found the optimal answer: 1085432199 == 1085432199
6 Correct 76 ms 83612 KB contestant found the optimal answer: 514790755404 == 514790755404
7 Correct 89 ms 83884 KB contestant found the optimal answer: 1256105310476641 == 1256105310476641
8 Correct 66 ms 84148 KB contestant found the optimal answer: 3099592898816 == 3099592898816
9 Correct 86 ms 83884 KB contestant found the optimal answer: 1241131419367412 == 1241131419367412
10 Correct 123 ms 83880 KB contestant found the optimal answer: 1243084101967798 == 1243084101967798
# Verdict Execution time Memory Grader output
1 Correct 56 ms 85484 KB contestant found the optimal answer: 19795776960 == 19795776960
2 Correct 36 ms 85468 KB contestant found the optimal answer: 19874432173 == 19874432173
3 Correct 1259 ms 93000 KB contestant found the optimal answer: 497313449256899208 == 497313449256899208
4 Correct 49 ms 86164 KB contestant found the optimal answer: 374850090734572421 == 374850090734572421
5 Correct 1493 ms 91780 KB contestant found the optimal answer: 36183271951 == 36183271951
6 Correct 943 ms 88632 KB contestant found the optimal answer: 51629847150471 == 51629847150471
7 Correct 1186 ms 92060 KB contestant found the optimal answer: 124074747024496432 == 124074747024496432
8 Correct 923 ms 91560 KB contestant found the optimal answer: 309959349080800 == 309959349080800
9 Correct 873 ms 91384 KB contestant found the optimal answer: 124113525649823701 == 124113525649823701
10 Correct 1186 ms 91688 KB contestant found the optimal answer: 124309619349406845 == 124309619349406845