Submission #172218

# Submission time Handle Problem Language Result Execution time Memory
172218 2019-12-31T16:39:28 Z RafaelSus Split the sequence (APIO14_sequence) C++14
50 / 100
404 ms 3704 KB
#include <bits/stdc++.h>
 
using namespace std;
const int N = 2e5 + 5;
typedef long long ll;
const ll inf=1e15;
#define pb push_back
const int INF=(0x3f3f3f3f);

const int maxn=2e3+5;
//ll dp[maxn][maxn];
//pair<int,int> rec[maxn][maxn];
vector<vector<ll>>dp;
vector<vector<pair<int,int>>>rec;
int a[maxn];
ll pref[maxn];
int n,k;

ll solve(int left,int key){
  if(left>=n||key==0)return 0ll;
  
  if(dp[left][key]!=-1)return dp[left][key];
  
  ll sumTotal=pref[n]-pref[left]+a[left];
  ll sumLeft=0ll,sumRight=0ll;
  ll res=-1;
  int splitPoint=-1;
  int splitKey=-1;
  //cerr<<left<<' '<<n<<' '<<key<<'\n';
  for(int i=left;i<=n-key;i++){
    sumLeft+=a[i];
    sumRight=sumTotal-sumLeft;
    int tmpK=key-1;
    ll r=solve(i+1,tmpK);
    ll splitCost=sumLeft*sumRight;
    ll curRes=r+splitCost;
    //cerr<<r<<'\n';
    if(res<curRes){
      res=curRes;
      splitPoint=i;
      splitKey=0;
    }
  }
  rec[left][key]=make_pair(splitPoint,splitKey);
  return dp[left][key]=res;
}

vector<int>ans;

void getAnsw(int l,int r,int key){
  if(l==r||key<=0)return;
  ans.pb(rec[l][key].first);
  //cerr<<l<<' '<<r<<' '<<key<<' '<<rec[l][r][key].first<<' '<<key<<'\n';
  getAnsw(l,rec[l][key].first,rec[l][key].second);
  getAnsw(rec[l][key].first+1,r,key-rec[l][key].second-1);
}

int main(){
  ios::sync_with_stdio(false);
  cin.tie(0);cout.tie(0);
 
  cin>>n>>k;
  for(int i=1;i<=n;i++){
    cin>>a[i];
    if(i>1)pref[i]=pref[i-1]+a[i];
    else pref[i]=a[i];
  }
  dp.resize(n+1,vector<ll>(k+1,-1ll));
  rec.resize(n+1,vector<pair<int,int>>(k+1,{0,0}));
  //memset(dp,-1,sizeof dp);
  ll answ=solve(1,k);
  getAnsw(1,n,k);
  cout<<answ<<'\n';
  for(auto x:ans)
    cout<<x<<' ';
  cout<<'\n';
}
# Verdict Execution time Memory Grader output
1 Correct 2 ms 376 KB contestant found the optimal answer: 108 == 108
2 Correct 2 ms 376 KB contestant found the optimal answer: 999 == 999
3 Correct 3 ms 376 KB contestant found the optimal answer: 0 == 0
4 Correct 2 ms 376 KB contestant found the optimal answer: 1542524 == 1542524
5 Correct 2 ms 376 KB contestant found the optimal answer: 4500000000 == 4500000000
6 Correct 2 ms 376 KB contestant found the optimal answer: 1 == 1
7 Correct 2 ms 376 KB contestant found the optimal answer: 1 == 1
8 Correct 2 ms 376 KB contestant found the optimal answer: 1 == 1
9 Correct 2 ms 376 KB contestant found the optimal answer: 100400096 == 100400096
10 Correct 2 ms 376 KB contestant found the optimal answer: 900320000 == 900320000
11 Correct 2 ms 376 KB contestant found the optimal answer: 3698080248 == 3698080248
12 Correct 2 ms 376 KB contestant found the optimal answer: 3200320000 == 3200320000
13 Correct 2 ms 348 KB contestant found the optimal answer: 140072 == 140072
14 Correct 2 ms 376 KB contestant found the optimal answer: 376041456 == 376041456
15 Correct 2 ms 376 KB contestant found the optimal answer: 805 == 805
16 Correct 2 ms 376 KB contestant found the optimal answer: 900189994 == 900189994
17 Correct 2 ms 376 KB contestant found the optimal answer: 999919994 == 999919994
# Verdict Execution time Memory Grader output
1 Correct 2 ms 376 KB contestant found the optimal answer: 1093956 == 1093956
2 Correct 2 ms 376 KB contestant found the optimal answer: 302460000 == 302460000
3 Correct 2 ms 376 KB contestant found the optimal answer: 122453454361 == 122453454361
4 Correct 2 ms 376 KB contestant found the optimal answer: 93663683509 == 93663683509
5 Correct 2 ms 376 KB contestant found the optimal answer: 1005304678 == 1005304678
6 Correct 2 ms 376 KB contestant found the optimal answer: 933702 == 933702
7 Correct 2 ms 376 KB contestant found the optimal answer: 25082842857 == 25082842857
8 Correct 2 ms 376 KB contestant found the optimal answer: 687136 == 687136
9 Correct 2 ms 376 KB contestant found the optimal answer: 27295930079 == 27295930079
10 Correct 2 ms 376 KB contestant found the optimal answer: 29000419931 == 29000419931
# Verdict Execution time Memory Grader output
1 Correct 2 ms 376 KB contestant found the optimal answer: 610590000 == 610590000
2 Correct 2 ms 376 KB contestant found the optimal answer: 311760000 == 311760000
3 Correct 3 ms 1016 KB contestant found the optimal answer: 1989216017013 == 1989216017013
4 Correct 2 ms 376 KB contestant found the optimal answer: 1499437552673 == 1499437552673
5 Correct 4 ms 760 KB contestant found the optimal answer: 1019625819 == 1019625819
6 Correct 3 ms 888 KB contestant found the optimal answer: 107630884 == 107630884
7 Correct 3 ms 1016 KB contestant found the optimal answer: 475357671774 == 475357671774
8 Correct 5 ms 504 KB contestant found the optimal answer: 193556962 == 193556962
9 Correct 5 ms 376 KB contestant found the optimal answer: 482389919803 == 482389919803
10 Correct 6 ms 508 KB contestant found the optimal answer: 490686959791 == 490686959791
# Verdict Execution time Memory Grader output
1 Correct 8 ms 504 KB contestant found the optimal answer: 21503404 == 21503404
2 Correct 8 ms 504 KB contestant found the optimal answer: 140412195 == 140412195
3 Correct 395 ms 3636 KB contestant found the optimal answer: 49729674225461 == 49729674225461
4 Correct 8 ms 504 KB contestant found the optimal answer: 37485571387523 == 37485571387523
5 Correct 401 ms 3632 KB contestant found the optimal answer: 679388326 == 679388326
6 Correct 363 ms 3192 KB contestant found the optimal answer: 4699030287 == 4699030287
7 Correct 400 ms 3704 KB contestant found the optimal answer: 12418819758185 == 12418819758185
8 Correct 404 ms 3704 KB contestant found the optimal answer: 31093317350 == 31093317350
9 Correct 111 ms 1144 KB contestant found the optimal answer: 12194625429236 == 12194625429236
10 Correct 205 ms 1660 KB contestant found the optimal answer: 12345131038664 == 12345131038664
# Verdict Execution time Memory Grader output
1 Runtime error 3 ms 504 KB Execution killed with signal 11 (could be triggered by violating memory limits)
2 Halted 0 ms 0 KB -
# Verdict Execution time Memory Grader output
1 Runtime error 3 ms 632 KB Execution killed with signal 11 (could be triggered by violating memory limits)
2 Halted 0 ms 0 KB -