Submission #670201

# Submission time Handle Problem Language Result Execution time Memory
670201 2022-12-08T09:29:43 Z MohammadAghil Split the sequence (APIO14_sequence) C++17
100 / 100
1229 ms 84132 KB
      #include <bits/stdc++.h>
//   #pragma GCC optimize ("Ofast,unroll-loops")
// #pragma GCC target ("avx2")
 using namespace std;
  typedef long long ll;
   typedef pair<ll, int> pp;
     #define per(i,r,l) for(int i = (r); i >= (l); i--)
       #define rep(i,l,r) for(int i = (l); i < (r); i++)
          #define all(x) begin(x), end(x)
             #define sz(x) (int)(x).size()
                 #define pb push_back
                     #define ss second
                          #define ff first
                                  void err(istringstream *iss){}template<typename T,typename ...Args> void err(istringstream *iss,const T &_val, const Args&...args){string _name;*iss>>_name;if(_name.back()==',')_name.pop_back();cerr<<_name<<" = "<<_val<<", ",err(iss,args...);}
void IOS(){
     cin.tie(0) -> sync_with_stdio(0);
     #ifndef ONLINE_JUDGE
          #define er(args ...) cerr << __LINE__ << ": ", err(new istringstream(string(#args)), args), cerr << endl
     #else
          #define er(args ...) 0
     #endif
}
mt19937 rng(chrono::steady_clock::now().time_since_epoch().count());
const ll mod = 1e9 + 7, maxn = 1e6 + 5, maxk = 2e2 + 5, p = 9973, lg = 22, inf = ll(1e18) + 5;
ll pw(ll a,ll b,ll md=mod){if(!b)return 1;ll k=pw(a,b>>1ll,md);return k*k%md*(b&1ll?a:1)%md;}

ll dp[maxn], tmp[maxn];
ll sum[maxn], sum2[maxn];
int opt[maxk][maxn];

ll get(int l, int r){
     ll s = sum[r] - sum[l-1];
     return s*s - sum2[r] + sum2[l-1];
} 

void slv(int l, int r, int lx, int rx, int t){
     if(l > r) return;
     int mid = (l + r)>>1;
     pp bst = {inf, -1};
     per(i,min(mid, rx), lx){
          bst = min(bst, {get(i, mid) + dp[i-1], -i});
     }
     bst.ss = -bst.ss;
     opt[t][mid] = bst.ss;
     tmp[mid] = bst.ff;
     slv(l, mid-1, lx, bst.ss, t);
     slv(mid+1, r, bst.ss, rx, t);
}

int main(){ IOS();     
     int n, k; cin >> n >> k;
     vector<ll> a(n+1);
     rep(i,1,n+1){
          cin >> a[i];
          sum[i] = sum[i-1] + a[i];
          sum2[i] = sum2[i-1] + a[i]*a[i];
     }
     rep(i,1,n+1) dp[i] = get(1, i);
     rep(i,0,k){
          slv(1, n, 1, n, i+1);
          rep(i,0,n+1) dp[i] = tmp[i];
     }
     cout << (get(1, n) - dp[n])/2ll << '\n';
     int cr = n;
     vector<int> ans;
     per(i,k,1){
          ans.pb(opt[i][cr]-1);
          cr = ans.back();
     }
     reverse(all(ans));
     for(int c: ans) cout << c << ' ';
     cout << '\n';
     return 0-0;
}
# Verdict Execution time Memory Grader output
1 Correct 0 ms 340 KB contestant found the optimal answer: 108 == 108
2 Correct 0 ms 340 KB contestant found the optimal answer: 999 == 999
3 Correct 0 ms 340 KB contestant found the optimal answer: 0 == 0
4 Correct 1 ms 340 KB contestant found the optimal answer: 1542524 == 1542524
5 Correct 1 ms 340 KB contestant found the optimal answer: 4500000000 == 4500000000
6 Correct 0 ms 340 KB contestant found the optimal answer: 1 == 1
7 Correct 1 ms 340 KB contestant found the optimal answer: 1 == 1
8 Correct 0 ms 340 KB contestant found the optimal answer: 1 == 1
9 Correct 0 ms 284 KB contestant found the optimal answer: 100400096 == 100400096
10 Correct 0 ms 340 KB contestant found the optimal answer: 900320000 == 900320000
11 Correct 1 ms 340 KB contestant found the optimal answer: 3698080248 == 3698080248
12 Correct 0 ms 340 KB contestant found the optimal answer: 3200320000 == 3200320000
13 Correct 0 ms 340 KB contestant found the optimal answer: 140072 == 140072
14 Correct 0 ms 340 KB contestant found the optimal answer: 376041456 == 376041456
15 Correct 0 ms 340 KB contestant found the optimal answer: 805 == 805
16 Correct 0 ms 340 KB contestant found the optimal answer: 900189994 == 900189994
17 Correct 0 ms 340 KB contestant found the optimal answer: 999919994 == 999919994
# Verdict Execution time Memory Grader output
1 Correct 1 ms 340 KB contestant found the optimal answer: 1093956 == 1093956
2 Correct 1 ms 340 KB contestant found the optimal answer: 302460000 == 302460000
3 Correct 1 ms 724 KB contestant found the optimal answer: 122453454361 == 122453454361
4 Correct 0 ms 340 KB contestant found the optimal answer: 93663683509 == 93663683509
5 Correct 1 ms 340 KB contestant found the optimal answer: 1005304678 == 1005304678
6 Correct 0 ms 340 KB contestant found the optimal answer: 933702 == 933702
7 Correct 1 ms 468 KB contestant found the optimal answer: 25082842857 == 25082842857
8 Correct 0 ms 340 KB contestant found the optimal answer: 687136 == 687136
9 Correct 1 ms 340 KB contestant found the optimal answer: 27295930079 == 27295930079
10 Correct 1 ms 468 KB contestant found the optimal answer: 29000419931 == 29000419931
# Verdict Execution time Memory Grader output
1 Correct 1 ms 340 KB contestant found the optimal answer: 610590000 == 610590000
2 Correct 1 ms 340 KB contestant found the optimal answer: 311760000 == 311760000
3 Correct 2 ms 2004 KB contestant found the optimal answer: 1989216017013 == 1989216017013
4 Correct 1 ms 340 KB contestant found the optimal answer: 1499437552673 == 1499437552673
5 Correct 2 ms 1492 KB contestant found the optimal answer: 1019625819 == 1019625819
6 Correct 2 ms 1876 KB contestant found the optimal answer: 107630884 == 107630884
7 Correct 2 ms 2004 KB contestant found the optimal answer: 475357671774 == 475357671774
8 Correct 1 ms 724 KB contestant found the optimal answer: 193556962 == 193556962
9 Correct 1 ms 596 KB contestant found the optimal answer: 482389919803 == 482389919803
10 Correct 1 ms 852 KB contestant found the optimal answer: 490686959791 == 490686959791
# Verdict Execution time Memory Grader output
1 Correct 1 ms 340 KB contestant found the optimal answer: 21503404 == 21503404
2 Correct 0 ms 340 KB contestant found the optimal answer: 140412195 == 140412195
3 Correct 6 ms 2772 KB contestant found the optimal answer: 49729674225461 == 49729674225461
4 Correct 0 ms 340 KB contestant found the optimal answer: 37485571387523 == 37485571387523
5 Correct 9 ms 2744 KB contestant found the optimal answer: 679388326 == 679388326
6 Correct 7 ms 2388 KB contestant found the optimal answer: 4699030287 == 4699030287
7 Correct 7 ms 2780 KB contestant found the optimal answer: 12418819758185 == 12418819758185
8 Correct 6 ms 2772 KB contestant found the optimal answer: 31093317350 == 31093317350
9 Correct 2 ms 852 KB contestant found the optimal answer: 12194625429236 == 12194625429236
10 Correct 4 ms 1328 KB contestant found the optimal answer: 12345131038664 == 12345131038664
# Verdict Execution time Memory Grader output
1 Correct 3 ms 852 KB contestant found the optimal answer: 1818678304 == 1818678304
2 Correct 3 ms 852 KB contestant found the optimal answer: 1326260195 == 1326260195
3 Correct 63 ms 10120 KB contestant found the optimal answer: 4973126687469639 == 4973126687469639
4 Correct 2 ms 852 KB contestant found the optimal answer: 3748491676694116 == 3748491676694116
5 Correct 68 ms 6284 KB contestant found the optimal answer: 1085432199 == 1085432199
6 Correct 63 ms 7224 KB contestant found the optimal answer: 514790755404 == 514790755404
7 Correct 58 ms 7712 KB contestant found the optimal answer: 1256105310476641 == 1256105310476641
8 Correct 43 ms 6452 KB contestant found the optimal answer: 3099592898816 == 3099592898816
9 Correct 61 ms 7340 KB contestant found the optimal answer: 1241131419367412 == 1241131419367412
10 Correct 74 ms 9176 KB contestant found the optimal answer: 1243084101967798 == 1243084101967798
# Verdict Execution time Memory Grader output
1 Correct 29 ms 5452 KB contestant found the optimal answer: 19795776960 == 19795776960
2 Correct 27 ms 5440 KB contestant found the optimal answer: 19874432173 == 19874432173
3 Correct 663 ms 84124 KB contestant found the optimal answer: 497313449256899208 == 497313449256899208
4 Correct 18 ms 5376 KB contestant found the optimal answer: 374850090734572421 == 374850090734572421
5 Correct 1229 ms 84132 KB contestant found the optimal answer: 36183271951 == 36183271951
6 Correct 751 ms 60188 KB contestant found the optimal answer: 51629847150471 == 51629847150471
7 Correct 638 ms 64200 KB contestant found the optimal answer: 124074747024496432 == 124074747024496432
8 Correct 464 ms 52960 KB contestant found the optimal answer: 309959349080800 == 309959349080800
9 Correct 615 ms 60108 KB contestant found the optimal answer: 124113525649823701 == 124113525649823701
10 Correct 794 ms 76148 KB contestant found the optimal answer: 124309619349406845 == 124309619349406845