Submission #250921

# Submission time Handle Problem Language Result Execution time Memory
250921 2020-07-19T12:46:49 Z willi19 Split the sequence (APIO14_sequence) C++14
100 / 100
1483 ms 87416 KB
#include <bits/stdc++.h>
using namespace std;
typedef pair<long long,int> pll;
long long s[100100],dp[100100][2];
int n,k,rev[100100][210];
class line
{
    public:
        long long a,b;
    bool operator == (const line& rhs) const
    {
        return (a==rhs.a)&&(b==rhs.b);
    }
};
double cross(line l1, line l2)
{
    return (double) (l1.b-l2.b)/(l2.a-l1.a);
}
class convexhulltrick
{
    public:
        int s,e,ind[100100];
        line deq[100100];
        void insert(line l,int in)
        {
            if(deq[e-1]==l)
            {
                ind[e-1] = in;
                return;
            }
            ind[e] = in;
            deq[e] = l;
            while(s+1<e&&cross(deq[e-2],deq[e-1])>=cross(deq[e-1],deq[e]))
            {
                deq[e-1] = deq[e];
                ind[e-1] = ind[e];
                e--;
            }
            e++;
        }
        pll query(long long x)
        {
            long long l = s,r = e-1;
            while(l!=r)
            {
                long long m = (l+r)/2;
                if(cross(deq[m],deq[m+1])<=x)
                    l = m+1;
                else r = m;
            }
            return {deq[l].a*x+deq[l].b,ind[l]};
        }
    void init()
    {
        s=e=0;
    }
};
convexhulltrick cht;
int main()
{
    ios::sync_with_stdio(false);
    cin.tie(NULL);
    cin>>n>>k;
    for(int i=1;i<=n;i++)
        cin>>s[i];
    for(int i=1;i<=n;i++)
        s[i] += s[i-1];
    for(int i=0;i<k;i++)
    {
        cht.init();
        int ind = (i+1)%2;
        dp[0][ind] = -1000000000000;
        line tmp;
        tmp.a = 0;
        tmp.b = -1000000000000;
        cht.insert(tmp,0);
        for(int j=1;j<=n;j++)
        {
            pll hamin = cht.query(s[j]);
            dp[j][ind] = hamin.first;
            rev[j][i] = hamin.second;
            line tmp;
            tmp.a = s[j];
            tmp.b = dp[j][1-ind]-s[j]*s[j];
            cht.insert(tmp,j);
        }
    }
    long long last = n;
    cout<<dp[n][k%2]<<"\n";
    for(int i=0;i<k;i++)
    {
        last = rev[last][k-i-1];
        cout<<last<<" ";
    }
}

Compilation message

sequence.cpp: In function 'int main()':
sequence.cpp:26:23: warning: array subscript is below array bounds [-Warray-bounds]
             if(deq[e-1]==l)
                ~~~~~~~^
sequence.cpp:26:23: warning: array subscript is below array bounds [-Warray-bounds]
# 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 1 ms 384 KB contestant found the optimal answer: 1542524 == 1542524
5 Correct 0 ms 384 KB contestant found the optimal answer: 4500000000 == 4500000000
6 Correct 0 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 0 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 1 ms 384 KB contestant found the optimal answer: 3698080248 == 3698080248
12 Correct 0 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 0 ms 384 KB contestant found the optimal answer: 1093956 == 1093956
2 Correct 0 ms 384 KB contestant found the optimal answer: 302460000 == 302460000
3 Correct 1 ms 384 KB contestant found the optimal answer: 122453454361 == 122453454361
4 Correct 0 ms 384 KB contestant found the optimal answer: 93663683509 == 93663683509
5 Correct 0 ms 384 KB contestant found the optimal answer: 1005304678 == 1005304678
6 Correct 1 ms 384 KB contestant found the optimal answer: 933702 == 933702
7 Correct 0 ms 384 KB contestant found the optimal answer: 25082842857 == 25082842857
8 Correct 1 ms 384 KB contestant found the optimal answer: 687136 == 687136
9 Correct 1 ms 384 KB contestant found the optimal answer: 27295930079 == 27295930079
10 Correct 0 ms 384 KB contestant found the optimal answer: 29000419931 == 29000419931
# Verdict Execution time Memory Grader output
1 Correct 1 ms 512 KB contestant found the optimal answer: 610590000 == 610590000
2 Correct 0 ms 512 KB contestant found the optimal answer: 311760000 == 311760000
3 Correct 2 ms 512 KB contestant found the optimal answer: 1989216017013 == 1989216017013
4 Correct 1 ms 512 KB contestant found the optimal answer: 1499437552673 == 1499437552673
5 Correct 1 ms 512 KB contestant found the optimal answer: 1019625819 == 1019625819
6 Correct 2 ms 512 KB contestant found the optimal answer: 107630884 == 107630884
7 Correct 2 ms 512 KB contestant found the optimal answer: 475357671774 == 475357671774
8 Correct 1 ms 512 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 512 KB contestant found the optimal answer: 490686959791 == 490686959791
# Verdict Execution time Memory Grader output
1 Correct 1 ms 1280 KB contestant found the optimal answer: 21503404 == 21503404
2 Correct 1 ms 1280 KB contestant found the optimal answer: 140412195 == 140412195
3 Correct 10 ms 1280 KB contestant found the optimal answer: 49729674225461 == 49729674225461
4 Correct 1 ms 1280 KB contestant found the optimal answer: 37485571387523 == 37485571387523
5 Correct 10 ms 1280 KB contestant found the optimal answer: 679388326 == 679388326
6 Correct 10 ms 1280 KB contestant found the optimal answer: 4699030287 == 4699030287
7 Correct 11 ms 1280 KB contestant found the optimal answer: 12418819758185 == 12418819758185
8 Correct 10 ms 1280 KB contestant found the optimal answer: 31093317350 == 31093317350
9 Correct 3 ms 1280 KB contestant found the optimal answer: 12194625429236 == 12194625429236
10 Correct 5 ms 1280 KB contestant found the optimal answer: 12345131038664 == 12345131038664
# Verdict Execution time Memory Grader output
1 Correct 6 ms 8960 KB contestant found the optimal answer: 1818678304 == 1818678304
2 Correct 6 ms 8960 KB contestant found the optimal answer: 1326260195 == 1326260195
3 Correct 99 ms 8960 KB contestant found the optimal answer: 4973126687469639 == 4973126687469639
4 Correct 8 ms 8960 KB contestant found the optimal answer: 3748491676694116 == 3748491676694116
5 Correct 76 ms 9080 KB contestant found the optimal answer: 1085432199 == 1085432199
6 Correct 109 ms 8960 KB contestant found the optimal answer: 514790755404 == 514790755404
7 Correct 108 ms 8960 KB contestant found the optimal answer: 1256105310476641 == 1256105310476641
8 Correct 94 ms 9068 KB contestant found the optimal answer: 3099592898816 == 3099592898816
9 Correct 90 ms 8960 KB contestant found the optimal answer: 1241131419367412 == 1241131419367412
10 Correct 113 ms 8960 KB contestant found the optimal answer: 1243084101967798 == 1243084101967798
# Verdict Execution time Memory Grader output
1 Correct 68 ms 86500 KB contestant found the optimal answer: 19795776960 == 19795776960
2 Correct 64 ms 86392 KB contestant found the optimal answer: 19874432173 == 19874432173
3 Correct 1249 ms 87416 KB contestant found the optimal answer: 497313449256899208 == 497313449256899208
4 Correct 64 ms 87288 KB contestant found the optimal answer: 374850090734572421 == 374850090734572421
5 Correct 1483 ms 86708 KB contestant found the optimal answer: 36183271951 == 36183271951
6 Correct 1315 ms 86720 KB contestant found the optimal answer: 51629847150471 == 51629847150471
7 Correct 1201 ms 87368 KB contestant found the optimal answer: 124074747024496432 == 124074747024496432
8 Correct 1077 ms 87288 KB contestant found the optimal answer: 309959349080800 == 309959349080800
9 Correct 1043 ms 87160 KB contestant found the optimal answer: 124113525649823701 == 124113525649823701
10 Correct 1244 ms 87052 KB contestant found the optimal answer: 124309619349406845 == 124309619349406845