답안 #220012

# 제출 시각 아이디 문제 언어 결과 실행 시간 메모리
220012 2020-04-06T20:09:46 Z MKopchev 수열 (APIO14_sequence) C++14
100 / 100
1499 ms 81912 KB
#include<bits/stdc++.h>
using namespace std;
const int nmax=1e5+42,kmax=2e2+5;

long long dp[2][nmax];

int optimal[kmax][nmax];

int n,k;
int inp[nmax];

long long pref[nmax];

long long ask(int l,int r)
{
    return pref[r]-pref[l-1];
}
long long score(int j,int i)
{
    return ask(1,j)*ask(j+1,i);
}

int output[nmax];

int brute(int cuts,int i,int lq,int rq)
{


    int ret=-1;

    dp[cuts&1][i]=-1;

    for(int j=lq;j<=rq&&j<i;j++)
    {
        long long current=dp[(cuts-1)&1][j]+score(j,i);
        if(current>dp[cuts&1][i])
        {
            ret=j;
            dp[cuts&1][i]=current;
        }
    }

    //cout<<"brute "<<cuts<<" "<<i<<" "<<lq<<" "<<rq<<" -> "<<ret<<endl;

    return ret;
}
void dc(int cuts,int l,int r,int lq,int rq)
{
    if(l>r)return;

    rq=min(r,rq);

    int av=(l+r)/2;

    optimal[cuts][av]=brute(cuts,av,lq,rq);

    dc(cuts,l,av-1,lq,optimal[cuts][av]);

    dc(cuts,av+1,r,optimal[cuts][av],rq);
}
int main()
{
    scanf("%i%i",&n,&k);
    for(int i=1;i<=n;i++)
    {
        scanf("%i",&inp[i]);
        pref[i]=pref[i-1]+inp[i];
    }

    for(int cuts=1;cuts<=k;cuts++)
    {
        for(int j=0;j<=n;j++)
            dp[cuts%2][j]=-1e18;

        dc(cuts,cuts+1,n,1,n);

        //for(int j=1;j<=n;j++)cout<<optimal[cuts][j]<<" ";cout<<endl;
    }

    printf("%lld\n",dp[k%2][n]);

    int pos=n;
    for(int cuts=k;cuts>=1;cuts--)
    {
        output[cuts]=optimal[cuts][pos];
        pos=optimal[cuts][pos];
    }

    for(int i=1;i<=k;i++)
    {
        printf("%i",output[i]);
        if(i==k)printf("\n");
        else printf(" ");
    }
    return 0;
}

Compilation message

sequence.cpp: In function 'int main()':
sequence.cpp:63:10: warning: ignoring return value of 'int scanf(const char*, ...)', declared with attribute warn_unused_result [-Wunused-result]
     scanf("%i%i",&n,&k);
     ~~~~~^~~~~~~~~~~~~~
sequence.cpp:66:14: warning: ignoring return value of 'int scanf(const char*, ...)', declared with attribute warn_unused_result [-Wunused-result]
         scanf("%i",&inp[i]);
         ~~~~~^~~~~~~~~~~~~~
# 결과 실행 시간 메모리 Grader output
1 Correct 5 ms 384 KB contestant found the optimal answer: 108 == 108
2 Correct 4 ms 384 KB contestant found the optimal answer: 999 == 999
3 Correct 5 ms 384 KB contestant found the optimal answer: 0 == 0
4 Correct 4 ms 384 KB contestant found the optimal answer: 1542524 == 1542524
5 Correct 5 ms 384 KB contestant found the optimal answer: 4500000000 == 4500000000
6 Correct 4 ms 384 KB contestant found the optimal answer: 1 == 1
7 Correct 4 ms 384 KB contestant found the optimal answer: 1 == 1
8 Correct 4 ms 384 KB contestant found the optimal answer: 1 == 1
9 Correct 4 ms 384 KB contestant found the optimal answer: 100400096 == 100400096
10 Correct 5 ms 384 KB contestant found the optimal answer: 900320000 == 900320000
11 Correct 4 ms 384 KB contestant found the optimal answer: 3698080248 == 3698080248
12 Correct 4 ms 384 KB contestant found the optimal answer: 3200320000 == 3200320000
13 Correct 5 ms 384 KB contestant found the optimal answer: 140072 == 140072
14 Correct 4 ms 384 KB contestant found the optimal answer: 376041456 == 376041456
15 Correct 4 ms 384 KB contestant found the optimal answer: 805 == 805
16 Correct 4 ms 384 KB contestant found the optimal answer: 900189994 == 900189994
17 Correct 4 ms 384 KB contestant found the optimal answer: 999919994 == 999919994
# 결과 실행 시간 메모리 Grader output
1 Correct 4 ms 384 KB contestant found the optimal answer: 1093956 == 1093956
2 Correct 5 ms 384 KB contestant found the optimal answer: 302460000 == 302460000
3 Correct 5 ms 640 KB contestant found the optimal answer: 122453454361 == 122453454361
4 Correct 5 ms 384 KB contestant found the optimal answer: 93663683509 == 93663683509
5 Correct 5 ms 384 KB contestant found the optimal answer: 1005304678 == 1005304678
6 Correct 4 ms 384 KB contestant found the optimal answer: 933702 == 933702
7 Correct 5 ms 512 KB contestant found the optimal answer: 25082842857 == 25082842857
8 Correct 5 ms 384 KB contestant found the optimal answer: 687136 == 687136
9 Correct 4 ms 384 KB contestant found the optimal answer: 27295930079 == 27295930079
10 Correct 5 ms 448 KB contestant found the optimal answer: 29000419931 == 29000419931
# 결과 실행 시간 메모리 Grader output
1 Correct 4 ms 384 KB contestant found the optimal answer: 610590000 == 610590000
2 Correct 4 ms 384 KB contestant found the optimal answer: 311760000 == 311760000
3 Correct 6 ms 1408 KB contestant found the optimal answer: 1989216017013 == 1989216017013
4 Correct 5 ms 384 KB contestant found the optimal answer: 1499437552673 == 1499437552673
5 Correct 6 ms 1152 KB contestant found the optimal answer: 1019625819 == 1019625819
6 Correct 6 ms 1280 KB contestant found the optimal answer: 107630884 == 107630884
7 Correct 6 ms 1408 KB contestant found the optimal answer: 475357671774 == 475357671774
8 Correct 5 ms 640 KB contestant found the optimal answer: 193556962 == 193556962
9 Correct 5 ms 512 KB contestant found the optimal answer: 482389919803 == 482389919803
10 Correct 5 ms 640 KB contestant found the optimal answer: 490686959791 == 490686959791
# 결과 실행 시간 메모리 Grader output
1 Correct 5 ms 384 KB contestant found the optimal answer: 21503404 == 21503404
2 Correct 5 ms 384 KB contestant found the optimal answer: 140412195 == 140412195
3 Correct 11 ms 2048 KB contestant found the optimal answer: 49729674225461 == 49729674225461
4 Correct 5 ms 384 KB contestant found the optimal answer: 37485571387523 == 37485571387523
5 Correct 15 ms 2048 KB contestant found the optimal answer: 679388326 == 679388326
6 Correct 14 ms 1792 KB contestant found the optimal answer: 4699030287 == 4699030287
7 Correct 13 ms 2048 KB contestant found the optimal answer: 12418819758185 == 12418819758185
8 Correct 10 ms 2048 KB contestant found the optimal answer: 31093317350 == 31093317350
9 Correct 7 ms 768 KB contestant found the optimal answer: 12194625429236 == 12194625429236
10 Correct 8 ms 1024 KB contestant found the optimal answer: 12345131038664 == 12345131038664
# 결과 실행 시간 메모리 Grader output
1 Correct 7 ms 768 KB contestant found the optimal answer: 1818678304 == 1818678304
2 Correct 7 ms 768 KB contestant found the optimal answer: 1326260195 == 1326260195
3 Correct 72 ms 9336 KB contestant found the optimal answer: 4973126687469639 == 4973126687469639
4 Correct 7 ms 768 KB contestant found the optimal answer: 3748491676694116 == 3748491676694116
5 Correct 84 ms 5880 KB contestant found the optimal answer: 1085432199 == 1085432199
6 Correct 87 ms 6776 KB contestant found the optimal answer: 514790755404 == 514790755404
7 Correct 75 ms 7160 KB contestant found the optimal answer: 1256105310476641 == 1256105310476641
8 Correct 53 ms 5880 KB contestant found the optimal answer: 3099592898816 == 3099592898816
9 Correct 75 ms 6648 KB contestant found the optimal answer: 1241131419367412 == 1241131419367412
10 Correct 94 ms 8440 KB contestant found the optimal answer: 1243084101967798 == 1243084101967798
# 결과 실행 시간 메모리 Grader output
1 Correct 40 ms 4216 KB contestant found the optimal answer: 19795776960 == 19795776960
2 Correct 33 ms 4216 KB contestant found the optimal answer: 19874432173 == 19874432173
3 Correct 769 ms 81912 KB contestant found the optimal answer: 497313449256899208 == 497313449256899208
4 Correct 29 ms 4728 KB contestant found the optimal answer: 374850090734572421 == 374850090734572421
5 Correct 1499 ms 81656 KB contestant found the optimal answer: 36183271951 == 36183271951
6 Correct 928 ms 58232 KB contestant found the optimal answer: 51629847150471 == 51629847150471
7 Correct 759 ms 62328 KB contestant found the optimal answer: 124074747024496432 == 124074747024496432
8 Correct 537 ms 51192 KB contestant found the optimal answer: 309959349080800 == 309959349080800
9 Correct 775 ms 58244 KB contestant found the optimal answer: 124113525649823701 == 124113525649823701
10 Correct 991 ms 74056 KB contestant found the optimal answer: 124309619349406845 == 124309619349406845