Submission #331468

# Submission time Handle Problem Language Result Execution time Memory
331468 2020-11-28T15:00:57 Z ftkbrian Split the sequence (APIO14_sequence) C++14
100 / 100
823 ms 84700 KB
#include<bits/stdc++.h>
using namespace std;
typedef long long ll;
#define sz size()
#define pb pop_back()

ll Dp[101010][2];
int Dir[101010][202],n,k,pos,a,b;
ll S[101010];
struct line{ll a,b,num;};

double cross(line a,line b){return (double)(b.b-a.b)/(a.a-b.a);}
vector<line> cht;
vector<int> ans;

ll Q(ll x,int& d)
{
    while(pos < cht.sz-1 && cross(cht[pos],cht[pos+1]) <= x) pos++;
    d = cht[pos].num;
    return cht[pos].a * x + cht[pos].b;
}
void push(line x)
{
    if(!cht.empty())
    {
        if(cht[cht.sz-1].a == x.a) return;// 얘는 안넣음
    }
    while(cht.sz > 1)
    {
        if(cross(cht[cht.sz-1],cht[cht.sz-2]) <= cross(cht[cht.sz-1],x)) break;
        cht.pb;
    }
    cht.push_back(x);
}
main()
{
    ios_base::sync_with_stdio(false);
    cin.tie(NULL),cout.tie(NULL);

    cin>>n>>k;
    for(int i = 1 ; i <= n ; i++) cin>>S[i],S[i] += S[i-1];

    for(int i = 1 ; i <= n ; i++) Dp[i][1] = S[i]*S[i];
    for(int i = 2 ; i <= k+1 ; i++)
    {
        cht.clear(),pos = 0,b=(i+1)%2;
        cht.push_back({-2*S[i-1],S[i-1]*S[i-1]+Dp[i-1][b],i-1});
        for(int q = i ; q <= n ; q++)
        {
            Dp[q][i%2] = Q(S[q],Dir[q][i])+S[q]*S[q];
            push({-2*S[q],S[q]*S[q]+Dp[q][b],q});
        }
    }

    cout<<(S[n]*S[n]-Dp[n][(k+1)%2])/2<<"\n";
    ll tar = Dir[n][k+1];
    for(int i = k+1 ; i > 1 ; i--)
    {
        ans.push_back(tar);
        tar = Dir[tar][i-1];
    }
    for(int i = ans.size()-1 ; i > -1 ; i--) cout<<ans[i]<<" ";
}

Compilation message

sequence.cpp: In function 'll Q(ll, int&)':
sequence.cpp:18:15: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<line>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
   18 |     while(pos < cht.sz-1 && cross(cht[pos],cht[pos+1]) <= x) pos++;
      |           ~~~~^~~~~~~~~~
sequence.cpp: At global scope:
sequence.cpp:35:6: warning: ISO C++ forbids declaration of 'main' with no type [-Wreturn-type]
   35 | main()
      |      ^
# Verdict Execution time Memory Grader output
1 Correct 1 ms 364 KB contestant found the optimal answer: 108 == 108
2 Correct 1 ms 384 KB contestant found the optimal answer: 999 == 999
3 Correct 1 ms 364 KB contestant found the optimal answer: 0 == 0
4 Correct 1 ms 364 KB contestant found the optimal answer: 1542524 == 1542524
5 Correct 1 ms 364 KB contestant found the optimal answer: 4500000000 == 4500000000
6 Correct 1 ms 364 KB contestant found the optimal answer: 1 == 1
7 Correct 1 ms 364 KB contestant found the optimal answer: 1 == 1
8 Correct 1 ms 364 KB contestant found the optimal answer: 1 == 1
9 Correct 1 ms 364 KB contestant found the optimal answer: 100400096 == 100400096
10 Correct 1 ms 364 KB contestant found the optimal answer: 900320000 == 900320000
11 Correct 1 ms 364 KB contestant found the optimal answer: 3698080248 == 3698080248
12 Correct 1 ms 364 KB contestant found the optimal answer: 3200320000 == 3200320000
13 Correct 1 ms 364 KB contestant found the optimal answer: 140072 == 140072
14 Correct 1 ms 364 KB contestant found the optimal answer: 376041456 == 376041456
15 Correct 1 ms 364 KB contestant found the optimal answer: 805 == 805
16 Correct 1 ms 364 KB contestant found the optimal answer: 900189994 == 900189994
17 Correct 1 ms 364 KB contestant found the optimal answer: 999919994 == 999919994
# Verdict Execution time Memory Grader output
1 Correct 1 ms 364 KB contestant found the optimal answer: 1093956 == 1093956
2 Correct 1 ms 364 KB contestant found the optimal answer: 302460000 == 302460000
3 Correct 1 ms 364 KB contestant found the optimal answer: 122453454361 == 122453454361
4 Correct 1 ms 364 KB contestant found the optimal answer: 93663683509 == 93663683509
5 Correct 1 ms 364 KB contestant found the optimal answer: 1005304678 == 1005304678
6 Correct 1 ms 384 KB contestant found the optimal answer: 933702 == 933702
7 Correct 1 ms 364 KB contestant found the optimal answer: 25082842857 == 25082842857
8 Correct 1 ms 364 KB contestant found the optimal answer: 687136 == 687136
9 Correct 1 ms 364 KB contestant found the optimal answer: 27295930079 == 27295930079
10 Correct 1 ms 364 KB contestant found the optimal answer: 29000419931 == 29000419931
# Verdict Execution time Memory Grader output
1 Correct 1 ms 492 KB contestant found the optimal answer: 610590000 == 610590000
2 Correct 1 ms 492 KB contestant found the optimal answer: 311760000 == 311760000
3 Correct 1 ms 492 KB contestant found the optimal answer: 1989216017013 == 1989216017013
4 Correct 2 ms 492 KB contestant found the optimal answer: 1499437552673 == 1499437552673
5 Correct 1 ms 492 KB contestant found the optimal answer: 1019625819 == 1019625819
6 Correct 1 ms 492 KB contestant found the optimal answer: 107630884 == 107630884
7 Correct 1 ms 492 KB contestant found the optimal answer: 475357671774 == 475357671774
8 Correct 1 ms 492 KB contestant found the optimal answer: 193556962 == 193556962
9 Correct 1 ms 512 KB contestant found the optimal answer: 482389919803 == 482389919803
10 Correct 1 ms 492 KB contestant found the optimal answer: 490686959791 == 490686959791
# Verdict Execution time Memory Grader output
1 Correct 1 ms 1260 KB contestant found the optimal answer: 21503404 == 21503404
2 Correct 1 ms 1260 KB contestant found the optimal answer: 140412195 == 140412195
3 Correct 7 ms 1260 KB contestant found the optimal answer: 49729674225461 == 49729674225461
4 Correct 1 ms 1260 KB contestant found the optimal answer: 37485571387523 == 37485571387523
5 Correct 7 ms 1260 KB contestant found the optimal answer: 679388326 == 679388326
6 Correct 7 ms 1260 KB contestant found the optimal answer: 4699030287 == 4699030287
7 Correct 8 ms 1260 KB contestant found the optimal answer: 12418819758185 == 12418819758185
8 Correct 6 ms 1260 KB contestant found the optimal answer: 31093317350 == 31093317350
9 Correct 3 ms 1260 KB contestant found the optimal answer: 12194625429236 == 12194625429236
10 Correct 4 ms 1260 KB contestant found the optimal answer: 12345131038664 == 12345131038664
# Verdict Execution time Memory Grader output
1 Correct 7 ms 9004 KB contestant found the optimal answer: 1818678304 == 1818678304
2 Correct 7 ms 8876 KB contestant found the optimal answer: 1326260195 == 1326260195
3 Correct 72 ms 8936 KB contestant found the optimal answer: 4973126687469639 == 4973126687469639
4 Correct 6 ms 8936 KB contestant found the optimal answer: 3748491676694116 == 3748491676694116
5 Correct 49 ms 8876 KB contestant found the optimal answer: 1085432199 == 1085432199
6 Correct 52 ms 8876 KB contestant found the optimal answer: 514790755404 == 514790755404
7 Correct 65 ms 8936 KB contestant found the optimal answer: 1256105310476641 == 1256105310476641
8 Correct 46 ms 8936 KB contestant found the optimal answer: 3099592898816 == 3099592898816
9 Correct 57 ms 8808 KB contestant found the optimal answer: 1241131419367412 == 1241131419367412
10 Correct 63 ms 8808 KB contestant found the optimal answer: 1243084101967798 == 1243084101967798
# Verdict Execution time Memory Grader output
1 Correct 57 ms 83952 KB contestant found the optimal answer: 19795776960 == 19795776960
2 Correct 54 ms 83932 KB contestant found the optimal answer: 19874432173 == 19874432173
3 Correct 767 ms 84700 KB contestant found the optimal answer: 497313449256899208 == 497313449256899208
4 Correct 57 ms 84700 KB contestant found the optimal answer: 374850090734572421 == 374850090734572421
5 Correct 823 ms 84040 KB contestant found the optimal answer: 36183271951 == 36183271951
6 Correct 566 ms 83932 KB contestant found the optimal answer: 51629847150471 == 51629847150471
7 Correct 677 ms 84700 KB contestant found the optimal answer: 124074747024496432 == 124074747024496432
8 Correct 496 ms 84572 KB contestant found the optimal answer: 309959349080800 == 309959349080800
9 Correct 532 ms 84316 KB contestant found the optimal answer: 124113525649823701 == 124113525649823701
10 Correct 686 ms 84316 KB contestant found the optimal answer: 124309619349406845 == 124309619349406845