Submission #42739

# Submission time Handle Problem Language Result Execution time Memory
42739 2018-03-03T14:05:42 Z Hassoony Split the sequence (APIO14_sequence) C++14
71 / 100
660 ms 86084 KB
#include<bits/stdc++.h>
using namespace std;
typedef long long ll;
const int MX=1e5+9;
ll n,K,pos,a[MX],dp[MX],dp1[MX],p[MX];
vector<ll>M,B;
vector<int>ID;
int fdp[202][MX];
bool bad(ll m1,ll b1,ll m2,ll b2,ll m3,ll b3){
    return 1.0*(b1-b3)*(m2-m1)<1.0*(b1-b2)*(m3-m1);
}
void add(ll m,ll b,ll idx){
    while(M.size()>=2&&bad(M[M.size()-2],B[B.size()-2],M[M.size()-1],B[B.size()-1],m,b))
        M.pop_back(),B.pop_back(),ID.pop_back();
    M.push_back(m);
    B.push_back(b);
    ID.push_back(idx);
}
ll query(ll x){
    if(pos>(int)M.size()-1)pos=(int)M.size()-1;
    while(pos+1<(int)M.size()&&1.0*M[pos+1]*x+B[pos+1]>=1.0*M[pos]*x+B[pos])
        pos++;
    return M[pos]*x+B[pos];
}
int main(){
    cin>>n>>K;
    for(int i=1;i<=n;i++){
        scanf("%lld",&a[i]);
        p[i]=p[i-1]+a[i];
    }
    for(int i=1;i<=K;i++){
        B.clear();
        M.clear();
        ID.clear();
        pos=0;
        add(p[i],-p[i]*p[i]+dp[i],i);
        for(int j=i+1;j<=n;j++){
            if(j>i+1&&p[j]==p[j-1]){
                dp1[j]=dp1[j-1];
                fdp[i][j]=fdp[i][j-1];
                continue;
            }
            dp1[j]=query(p[j]);
            if(pos>(int)ID.size()-1)pos=ID.size()-1;
            fdp[i][j]=ID[pos];
            if(p[j]!=p[j-1])add(p[j],-p[j]*p[j]+dp[j],j);
        }
        for(int k=1;k<=n;k++)dp[k]=dp1[k];
    }
    printf("%lld\n",dp[n]);
    for(int i=K,j=n;i>=1;){
        j=fdp[i][j];
        i--;
        printf("%d ",j);
    }
}

Compilation message

sequence.cpp: In function 'int main()':
sequence.cpp:28:28: warning: ignoring return value of 'int scanf(const char*, ...)', declared with attribute warn_unused_result [-Wunused-result]
         scanf("%lld",&a[i]);
                            ^
# Verdict Execution time Memory Grader output
1 Correct 2 ms 376 KB contestant found the optimal answer: 108 == 108
2 Correct 1 ms 376 KB contestant found the optimal answer: 999 == 999
3 Correct 1 ms 424 KB contestant found the optimal answer: 0 == 0
4 Correct 1 ms 496 KB contestant found the optimal answer: 1542524 == 1542524
5 Correct 2 ms 512 KB contestant found the optimal answer: 4500000000 == 4500000000
6 Correct 2 ms 548 KB contestant found the optimal answer: 1 == 1
7 Correct 2 ms 548 KB contestant found the optimal answer: 1 == 1
8 Correct 1 ms 600 KB contestant found the optimal answer: 1 == 1
9 Correct 2 ms 600 KB contestant found the optimal answer: 100400096 == 100400096
10 Correct 2 ms 600 KB contestant found the optimal answer: 900320000 == 900320000
11 Correct 1 ms 600 KB contestant found the optimal answer: 3698080248 == 3698080248
12 Correct 2 ms 600 KB contestant found the optimal answer: 3200320000 == 3200320000
13 Correct 2 ms 600 KB contestant found the optimal answer: 140072 == 140072
14 Correct 2 ms 600 KB contestant found the optimal answer: 376041456 == 376041456
15 Correct 2 ms 620 KB contestant found the optimal answer: 805 == 805
16 Correct 1 ms 724 KB contestant found the optimal answer: 900189994 == 900189994
17 Correct 2 ms 724 KB contestant found the optimal answer: 999919994 == 999919994
# Verdict Execution time Memory Grader output
1 Correct 2 ms 724 KB contestant found the optimal answer: 1093956 == 1093956
2 Correct 1 ms 724 KB contestant found the optimal answer: 302460000 == 302460000
3 Correct 2 ms 748 KB contestant found the optimal answer: 122453454361 == 122453454361
4 Correct 1 ms 748 KB contestant found the optimal answer: 93663683509 == 93663683509
5 Correct 2 ms 748 KB contestant found the optimal answer: 1005304678 == 1005304678
6 Correct 2 ms 748 KB contestant found the optimal answer: 933702 == 933702
7 Correct 2 ms 748 KB contestant found the optimal answer: 25082842857 == 25082842857
8 Correct 2 ms 748 KB contestant found the optimal answer: 687136 == 687136
9 Correct 2 ms 748 KB contestant found the optimal answer: 27295930079 == 27295930079
10 Correct 2 ms 748 KB contestant found the optimal answer: 29000419931 == 29000419931
# Verdict Execution time Memory Grader output
1 Correct 2 ms 748 KB contestant found the optimal answer: 610590000 == 610590000
2 Correct 1 ms 748 KB contestant found the optimal answer: 311760000 == 311760000
3 Correct 3 ms 1560 KB contestant found the optimal answer: 1989216017013 == 1989216017013
4 Correct 2 ms 1560 KB contestant found the optimal answer: 1499437552673 == 1499437552673
5 Correct 2 ms 1560 KB contestant found the optimal answer: 1019625819 == 1019625819
6 Correct 3 ms 1560 KB contestant found the optimal answer: 107630884 == 107630884
7 Correct 4 ms 1560 KB contestant found the optimal answer: 475357671774 == 475357671774
8 Correct 2 ms 1560 KB contestant found the optimal answer: 193556962 == 193556962
9 Correct 2 ms 1560 KB contestant found the optimal answer: 482389919803 == 482389919803
10 Correct 2 ms 1560 KB contestant found the optimal answer: 490686959791 == 490686959791
# Verdict Execution time Memory Grader output
1 Correct 2 ms 1560 KB contestant found the optimal answer: 21503404 == 21503404
2 Correct 2 ms 1560 KB contestant found the optimal answer: 140412195 == 140412195
3 Correct 7 ms 2208 KB contestant found the optimal answer: 49729674225461 == 49729674225461
4 Correct 2 ms 2208 KB contestant found the optimal answer: 37485571387523 == 37485571387523
5 Correct 7 ms 2336 KB contestant found the optimal answer: 679388326 == 679388326
6 Correct 7 ms 2336 KB contestant found the optimal answer: 4699030287 == 4699030287
7 Correct 9 ms 2336 KB contestant found the optimal answer: 12418819758185 == 12418819758185
8 Correct 10 ms 2348 KB contestant found the optimal answer: 31093317350 == 31093317350
9 Correct 3 ms 2348 KB contestant found the optimal answer: 12194625429236 == 12194625429236
10 Correct 5 ms 2348 KB contestant found the optimal answer: 12345131038664 == 12345131038664
# Verdict Execution time Memory Grader output
1 Correct 4 ms 2348 KB contestant found the optimal answer: 1818678304 == 1818678304
2 Correct 3 ms 2348 KB contestant found the optimal answer: 1326260195 == 1326260195
3 Correct 59 ms 10196 KB contestant found the optimal answer: 4973126687469639 == 4973126687469639
4 Correct 4 ms 10196 KB contestant found the optimal answer: 3748491676694116 == 3748491676694116
5 Correct 50 ms 10196 KB contestant found the optimal answer: 1085432199 == 1085432199
6 Correct 45 ms 10196 KB contestant found the optimal answer: 514790755404 == 514790755404
7 Correct 71 ms 10196 KB contestant found the optimal answer: 1256105310476641 == 1256105310476641
8 Correct 41 ms 10196 KB contestant found the optimal answer: 3099592898816 == 3099592898816
9 Correct 55 ms 10196 KB contestant found the optimal answer: 1241131419367412 == 1241131419367412
10 Correct 57 ms 10196 KB contestant found the optimal answer: 1243084101967798 == 1243084101967798
# Verdict Execution time Memory Grader output
1 Correct 25 ms 10196 KB contestant found the optimal answer: 19795776960 == 19795776960
2 Correct 25 ms 10196 KB contestant found the optimal answer: 19874432173 == 19874432173
3 Correct 593 ms 85776 KB contestant found the optimal answer: 497313449256899208 == 497313449256899208
4 Correct 25 ms 85776 KB contestant found the optimal answer: 374850090734572421 == 374850090734572421
5 Correct 660 ms 86084 KB contestant found the optimal answer: 36183271951 == 36183271951
6 Correct 475 ms 86084 KB contestant found the optimal answer: 51629847150471 == 51629847150471
7 Correct 582 ms 86084 KB contestant found the optimal answer: 124074747024496432 == 124074747024496432
8 Correct 419 ms 86084 KB contestant found the optimal answer: 309959349080800 == 309959349080800
9 Incorrect 475 ms 86084 KB contestant didn't find the optimal answer: 124113525649823689 < 124113525649823701
10 Halted 0 ms 0 KB -