답안 #242924

# 제출 시각 아이디 문제 언어 결과 실행 시간 메모리
242924 2020-06-29T20:13:53 Z uacoder123 수열 (APIO14_sequence) C++14
100 / 100
1595 ms 82444 KB
#include <bits/stdc++.h>
using namespace std;
#define F first
#define S second
#define FOR(i,a,b) for (auto i = (a); i <= (b); ++i)
#define NFOR(i,a,b) for(auto i = (a); i >= (b); --i)
#define all(x) (x).begin(), (x).end()
#define sz(x) int(x.size())
#define mp(i,a) make_pair(i,a)
#define pb(a) push_back(a)
#define bit(x,b) (x&(1LL<<b))
 
typedef long long int lli;
typedef pair <lli,lli> ii;
typedef pair <lli,ii> iii;
typedef vector <lli> vi;
lli p[100002],p1[100002],dp[2][100002];
int kval[202][100002];
void cal(int g,int s,int e,int sl,int se)
{
  lli mid=(s+e)/2,k=sl;
  for(lli i=sl;i<=se;++i)
  {
    if(i>=mid&&dp[1][mid]>(((p[i]-p[mid-1])*(p[i]-p[mid-1])-(p1[i]-p1[mid-1]))/2)+dp[1-1][i+1])
    {
      dp[1][mid]=(((p[i]-p[mid-1])*(p[i]-p[mid-1])-(p1[i]-p1[mid-1]))/2)+dp[1-1][i+1];
      k=i;
    }
  }
  kval[g][mid]=k;
  if(s!=e)
  {
    if(mid-1>=s)
      cal(g,s,mid-1,sl,k);
    if(mid+1<=e)
      cal(g,mid+1,e,k,se);
  }
}
int main()
{
  ios_base::sync_with_stdio(false);
  cin.tie(NULL);
  lli test=1;
  for(;test>0;--test)
  {
    lli n,k,f;
    cin>>n>>k;
    k++;
    p[0]=0;
    p1[0]=0;
    for(lli i=1;i<=n;++i)
    {
      cin>>f;
      p[i]=p[i-1]+f;
      p1[i]=p1[i-1]+(f*f);
    }
    for(lli i=1;i<=n;++i)
    {
      dp[0][i]=(p[n]-p[i-1])*(p[n]-p[i-1])-(p1[n]-p1[i-1]);
      dp[0][i]/=2;
      kval[1][i]=n;
    }
    for(lli i=2;i<=k;++i)
    {
      for(int j=0;j<=100001;++j)
        dp[1][j]=150000000000000000;
      cal(i,1,n-i+1,1,n);
      swap(dp[0],dp[1]);
    }
    cout<<((p[n]*p[n]-p1[n])/2)-dp[0][1]<<endl;
    lli now=1;
    while(k!=1)
    {
      cout<<kval[k][now]<<' ';
      now=kval[k][now]+1;
      k--;
    }
    cout<<endl;
  }
  return(0);
}
# 결과 실행 시간 메모리 Grader output
1 Correct 6 ms 1920 KB contestant found the optimal answer: 108 == 108
2 Correct 5 ms 1920 KB contestant found the optimal answer: 999 == 999
3 Correct 5 ms 1792 KB contestant found the optimal answer: 0 == 0
4 Correct 6 ms 1920 KB contestant found the optimal answer: 1542524 == 1542524
5 Correct 6 ms 1920 KB contestant found the optimal answer: 4500000000 == 4500000000
6 Correct 5 ms 1920 KB contestant found the optimal answer: 1 == 1
7 Correct 6 ms 1920 KB contestant found the optimal answer: 1 == 1
8 Correct 6 ms 2048 KB contestant found the optimal answer: 1 == 1
9 Correct 6 ms 1920 KB contestant found the optimal answer: 100400096 == 100400096
10 Correct 6 ms 1920 KB contestant found the optimal answer: 900320000 == 900320000
11 Correct 6 ms 1920 KB contestant found the optimal answer: 3698080248 == 3698080248
12 Correct 6 ms 1920 KB contestant found the optimal answer: 3200320000 == 3200320000
13 Correct 6 ms 1920 KB contestant found the optimal answer: 140072 == 140072
14 Correct 6 ms 1920 KB contestant found the optimal answer: 376041456 == 376041456
15 Correct 6 ms 1920 KB contestant found the optimal answer: 805 == 805
16 Correct 6 ms 1920 KB contestant found the optimal answer: 900189994 == 900189994
17 Correct 6 ms 1920 KB contestant found the optimal answer: 999919994 == 999919994
# 결과 실행 시간 메모리 Grader output
1 Correct 6 ms 1920 KB contestant found the optimal answer: 1093956 == 1093956
2 Correct 6 ms 1920 KB contestant found the optimal answer: 302460000 == 302460000
3 Correct 12 ms 2176 KB contestant found the optimal answer: 122453454361 == 122453454361
4 Correct 6 ms 1920 KB contestant found the optimal answer: 93663683509 == 93663683509
5 Correct 6 ms 1920 KB contestant found the optimal answer: 1005304678 == 1005304678
6 Correct 7 ms 1920 KB contestant found the optimal answer: 933702 == 933702
7 Correct 8 ms 2048 KB contestant found the optimal answer: 25082842857 == 25082842857
8 Correct 7 ms 1920 KB contestant found the optimal answer: 687136 == 687136
9 Correct 6 ms 1920 KB contestant found the optimal answer: 27295930079 == 27295930079
10 Correct 7 ms 1920 KB contestant found the optimal answer: 29000419931 == 29000419931
# 결과 실행 시간 메모리 Grader output
1 Correct 6 ms 1920 KB contestant found the optimal answer: 610590000 == 610590000
2 Correct 6 ms 1920 KB contestant found the optimal answer: 311760000 == 311760000
3 Correct 31 ms 2920 KB contestant found the optimal answer: 1989216017013 == 1989216017013
4 Correct 7 ms 1920 KB contestant found the optimal answer: 1499437552673 == 1499437552673
5 Correct 24 ms 2684 KB contestant found the optimal answer: 1019625819 == 1019625819
6 Correct 29 ms 2816 KB contestant found the optimal answer: 107630884 == 107630884
7 Correct 31 ms 2936 KB contestant found the optimal answer: 475357671774 == 475357671774
8 Correct 12 ms 2176 KB contestant found the optimal answer: 193556962 == 193556962
9 Correct 9 ms 2048 KB contestant found the optimal answer: 482389919803 == 482389919803
10 Correct 13 ms 2176 KB contestant found the optimal answer: 490686959791 == 490686959791
# 결과 실행 시간 메모리 Grader output
1 Correct 6 ms 2176 KB contestant found the optimal answer: 21503404 == 21503404
2 Correct 6 ms 1920 KB contestant found the optimal answer: 140412195 == 140412195
3 Correct 38 ms 3576 KB contestant found the optimal answer: 49729674225461 == 49729674225461
4 Correct 6 ms 2048 KB contestant found the optimal answer: 37485571387523 == 37485571387523
5 Correct 40 ms 3568 KB contestant found the optimal answer: 679388326 == 679388326
6 Correct 35 ms 3320 KB contestant found the optimal answer: 4699030287 == 4699030287
7 Correct 40 ms 3576 KB contestant found the optimal answer: 12418819758185 == 12418819758185
8 Correct 35 ms 3576 KB contestant found the optimal answer: 31093317350 == 31093317350
9 Correct 12 ms 2304 KB contestant found the optimal answer: 12194625429236 == 12194625429236
10 Correct 20 ms 2688 KB contestant found the optimal answer: 12345131038664 == 12345131038664
# 결과 실행 시간 메모리 Grader output
1 Correct 8 ms 2176 KB contestant found the optimal answer: 1818678304 == 1818678304
2 Correct 8 ms 2304 KB contestant found the optimal answer: 1326260195 == 1326260195
3 Correct 110 ms 10744 KB contestant found the optimal answer: 4973126687469639 == 4973126687469639
4 Correct 8 ms 2304 KB contestant found the optimal answer: 3748491676694116 == 3748491676694116
5 Correct 101 ms 7280 KB contestant found the optimal answer: 1085432199 == 1085432199
6 Correct 110 ms 8184 KB contestant found the optimal answer: 514790755404 == 514790755404
7 Correct 111 ms 8700 KB contestant found the optimal answer: 1256105310476641 == 1256105310476641
8 Correct 75 ms 7416 KB contestant found the optimal answer: 3099592898816 == 3099592898816
9 Correct 100 ms 8184 KB contestant found the optimal answer: 1241131419367412 == 1241131419367412
10 Correct 125 ms 9976 KB contestant found the optimal answer: 1243084101967798 == 1243084101967798
# 결과 실행 시간 메모리 Grader output
1 Correct 38 ms 5112 KB contestant found the optimal answer: 19795776960 == 19795776960
2 Correct 37 ms 4984 KB contestant found the optimal answer: 19874432173 == 19874432173
3 Correct 903 ms 82200 KB contestant found the optimal answer: 497313449256899208 == 497313449256899208
4 Correct 26 ms 4992 KB contestant found the optimal answer: 374850090734572421 == 374850090734572421
5 Correct 1595 ms 82444 KB contestant found the optimal answer: 36183271951 == 36183271951
6 Correct 1002 ms 59000 KB contestant found the optimal answer: 51629847150471 == 51629847150471
7 Correct 927 ms 63248 KB contestant found the optimal answer: 124074747024496432 == 124074747024496432
8 Correct 668 ms 51960 KB contestant found the optimal answer: 309959349080800 == 309959349080800
9 Correct 899 ms 59136 KB contestant found the optimal answer: 124113525649823701 == 124113525649823701
10 Correct 1134 ms 74632 KB contestant found the optimal answer: 124309619349406845 == 124309619349406845