답안 #304420

# 제출 시각 아이디 문제 언어 결과 실행 시간 메모리
304420 2020-09-21T10:06:07 Z vipghn2003 수열 (APIO14_sequence) C++14
100 / 100
1473 ms 81848 KB
#include<bits/stdc++.h>
#define ll long long
using namespace std;

const int N=1e5+5;
const int K=205;
int n,k,a[N],opt[K][N];
ll s[N],dp[2][N];

void calc(int lev,int l,int r,int L,int R)
{
    if(l>r) return ;
    int mid=(l+r)/2;
    dp[1][mid]=1e18;
    for(int i=L;i<=min(mid-1,R);i++)
    {
        if(dp[1][mid]>dp[0][i]+(s[mid]-s[i])*(s[mid]-s[i]))
        {
            dp[1][mid]=dp[0][i]+(s[mid]-s[i])*(s[mid]-s[i]);
            opt[lev][mid]=i;
        }
    }
    calc(lev,l,mid-1,L,opt[lev][mid]);
    calc(lev,mid+1,r,opt[lev][mid],R);
}

main()
{
    ios_base::sync_with_stdio(false);
    cin.tie(nullptr);
    cin>>n>>k;
    k++;
    for(int i=1;i<=n;i++)
    {
        cin>>a[i];
        s[i]=s[i-1]+a[i];
    }
    ll res=s[n]*s[n];
    dp[0][0]=1e18;
    dp[1][0]=1e18;
    for(int i=1;i<=n;i++)
    {
        dp[0][i]=s[i]*s[i];
        opt[1][i]=i;
    }
    for(int lev=2;lev<=k;lev++)
    {
        calc(lev,1,n,0,n-1);
        for(int j=0;j<=n;j++) dp[0][j]=dp[1][j];
    }
    res-=dp[0][n];
    cout<<res/2<<'\n';
    int cur=n;
    while(k>1)
    {
        cur=opt[k][cur];
        k--;
        cout<<cur<<' ';
    }
}
/*
7 3
4 1 3 4 0 2 3
*/

Compilation message

sequence.cpp:27:6: warning: ISO C++ forbids declaration of 'main' with no type [-Wreturn-type]
   27 | main()
      |      ^
# 결과 실행 시간 메모리 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 0 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 1 ms 384 KB contestant found the optimal answer: 1 == 1
7 Correct 1 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 1 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 0 ms 384 KB contestant found the optimal answer: 3698080248 == 3698080248
12 Correct 1 ms 384 KB contestant found the optimal answer: 3200320000 == 3200320000
13 Correct 1 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
# 결과 실행 시간 메모리 Grader output
1 Correct 0 ms 384 KB contestant found the optimal answer: 1093956 == 1093956
2 Correct 1 ms 384 KB contestant found the optimal answer: 302460000 == 302460000
3 Correct 1 ms 640 KB contestant found the optimal answer: 122453454361 == 122453454361
4 Correct 0 ms 384 KB contestant found the optimal answer: 93663683509 == 93663683509
5 Correct 1 ms 384 KB contestant found the optimal answer: 1005304678 == 1005304678
6 Correct 0 ms 384 KB contestant found the optimal answer: 933702 == 933702
7 Correct 1 ms 512 KB contestant found the optimal answer: 25082842857 == 25082842857
8 Correct 1 ms 384 KB contestant found the optimal answer: 687136 == 687136
9 Correct 0 ms 384 KB contestant found the optimal answer: 27295930079 == 27295930079
10 Correct 1 ms 384 KB contestant found the optimal answer: 29000419931 == 29000419931
# 결과 실행 시간 메모리 Grader output
1 Correct 1 ms 384 KB contestant found the optimal answer: 610590000 == 610590000
2 Correct 1 ms 384 KB contestant found the optimal answer: 311760000 == 311760000
3 Correct 2 ms 1408 KB contestant found the optimal answer: 1989216017013 == 1989216017013
4 Correct 1 ms 404 KB contestant found the optimal answer: 1499437552673 == 1499437552673
5 Correct 2 ms 1152 KB contestant found the optimal answer: 1019625819 == 1019625819
6 Correct 2 ms 1280 KB contestant found the optimal answer: 107630884 == 107630884
7 Correct 2 ms 1408 KB contestant found the optimal answer: 475357671774 == 475357671774
8 Correct 1 ms 640 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 640 KB contestant found the optimal answer: 490686959791 == 490686959791
# 결과 실행 시간 메모리 Grader output
1 Correct 1 ms 384 KB contestant found the optimal answer: 21503404 == 21503404
2 Correct 1 ms 384 KB contestant found the optimal answer: 140412195 == 140412195
3 Correct 7 ms 2048 KB contestant found the optimal answer: 49729674225461 == 49729674225461
4 Correct 1 ms 384 KB contestant found the optimal answer: 37485571387523 == 37485571387523
5 Correct 10 ms 2048 KB contestant found the optimal answer: 679388326 == 679388326
6 Correct 10 ms 1792 KB contestant found the optimal answer: 4699030287 == 4699030287
7 Correct 8 ms 2048 KB contestant found the optimal answer: 12418819758185 == 12418819758185
8 Correct 7 ms 2048 KB contestant found the optimal answer: 31093317350 == 31093317350
9 Correct 3 ms 768 KB contestant found the optimal answer: 12194625429236 == 12194625429236
10 Correct 5 ms 1024 KB contestant found the optimal answer: 12345131038664 == 12345131038664
# 결과 실행 시간 메모리 Grader output
1 Correct 3 ms 768 KB contestant found the optimal answer: 1818678304 == 1818678304
2 Correct 2 ms 768 KB contestant found the optimal answer: 1326260195 == 1326260195
3 Correct 66 ms 9336 KB contestant found the optimal answer: 4973126687469639 == 4973126687469639
4 Correct 3 ms 768 KB contestant found the optimal answer: 3748491676694116 == 3748491676694116
5 Correct 79 ms 6016 KB contestant found the optimal answer: 1085432199 == 1085432199
6 Correct 74 ms 6780 KB contestant found the optimal answer: 514790755404 == 514790755404
7 Correct 68 ms 7288 KB contestant found the optimal answer: 1256105310476641 == 1256105310476641
8 Correct 47 ms 6008 KB contestant found the optimal answer: 3099592898816 == 3099592898816
9 Correct 69 ms 6776 KB contestant found the optimal answer: 1241131419367412 == 1241131419367412
10 Correct 86 ms 8444 KB contestant found the optimal answer: 1243084101967798 == 1243084101967798
# 결과 실행 시간 메모리 Grader output
1 Correct 28 ms 4600 KB contestant found the optimal answer: 19795776960 == 19795776960
2 Correct 27 ms 4704 KB contestant found the optimal answer: 19874432173 == 19874432173
3 Correct 715 ms 81752 KB contestant found the optimal answer: 497313449256899208 == 497313449256899208
4 Correct 21 ms 4608 KB contestant found the optimal answer: 374850090734572421 == 374850090734572421
5 Correct 1473 ms 81848 KB contestant found the optimal answer: 36183271951 == 36183271951
6 Correct 884 ms 58404 KB contestant found the optimal answer: 51629847150471 == 51629847150471
7 Correct 746 ms 62200 KB contestant found the optimal answer: 124074747024496432 == 124074747024496432
8 Correct 521 ms 51192 KB contestant found the optimal answer: 309959349080800 == 309959349080800
9 Correct 724 ms 58320 KB contestant found the optimal answer: 124113525649823701 == 124113525649823701
10 Correct 926 ms 73976 KB contestant found the optimal answer: 124309619349406845 == 124309619349406845