Submission #252633

# Submission time Handle Problem Language Result Execution time Memory
252633 2020-07-26T01:51:36 Z ChrisT Split the sequence (APIO14_sequence) C++17
100 / 100
401 ms 82676 KB
#include <bits/stdc++.h>
using namespace std;
#define min(...) minn(__VA_ARGS__)
#define max(...) maxx(__VA_ARGS__)
#define stringio() ios::sync_with_stdio(0); cin.tie(0); cout.tie(0)
#define m first
#define b second
char _;
typedef long long ll;
typedef pair<int,int> pii;
typedef pair<ll,ll> pll;
template<typename t>constexpr const t minn(const t x,const t y){return x<y?x:y;}
template<typename t,typename ...r>constexpr const t minn(const t x,const r ...xs){return minn(x,minn(xs...));}
template<typename t>constexpr const t maxx(const t x,const t y){return x>y?x:y;}
template<typename t,typename ...r>constexpr const t maxx(const t x,const r ...xs){return maxx(x,maxx(xs...));}
template <typename t> void scan (t& x) {do{while((x=getchar_unlocked())<'0'); for(x-='0'; '0'<=(_=getchar_unlocked()); x=(x<<3)+(x<<1)+_-'0');}while(0);}
template <typename t, typename ...r> void scan (t& x, r&... xs) {scan(x); scan(xs...);}
const int MAXN = 1e5+2, MAXK = 202;
ll dp[MAXN], psa[MAXN];
int par[MAXK][MAXN], which[MAXN];
pll lines[MAXN];
ll val (pll line, ll x) {return line.m * x + line.b;}
double intersect (pll f, pll s) {
  ll i = f.b - s.b, j = s.m - f.m;
  if (j < 0) j = -j, i = -i;
  if (j == 0) return 1e18;
  return (double)i/j;
}
int main() {
    int n,K,l,r;
    scan(n,K);
    for (int i = 1; i <= n; i++) scan(psa[i]), psa[i] += psa[i-1];
    lines[0] = {0,0}; which[0] = 0;
    for (int k = 1; k <= K; k++) {
      l = 0, r = 1;
      for (int i = 1; i <= n; i++) {
          while (r-l>1 && val(lines[l],psa[i]) <= val(lines[l+1],psa[i])) l++;
          pll nline = {psa[i],dp[i] - psa[i] * psa[i]};
          dp[i] = val(lines[l],psa[i]);
          par[k][i] = which[l];
          while (r-l>1 && intersect(nline,lines[r-1]) < intersect(lines[r-1],lines[r-2])) r--;
          which[r] = i, lines[r++] = nline;
      }
    }
    printf ("%lld\n",dp[n]);
    int cur = n;
    while (K) {
      printf ("%d%c",par[K][cur]," \n"[K==1]);
      cur = par[K--][cur];
    }
    return 0;
}
# Verdict Execution time Memory 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 1 ms 380 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 1 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 1 ms 384 KB contestant found the optimal answer: 376041456 == 376041456
15 Correct 1 ms 384 KB contestant found the optimal answer: 805 == 805
16 Correct 1 ms 384 KB contestant found the optimal answer: 900189994 == 900189994
17 Correct 1 ms 384 KB contestant found the optimal answer: 999919994 == 999919994
# Verdict Execution time Memory Grader output
1 Correct 1 ms 376 KB contestant found the optimal answer: 1093956 == 1093956
2 Correct 0 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 0 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
# Verdict Execution time Memory Grader output
1 Correct 0 ms 384 KB contestant found the optimal answer: 610590000 == 610590000
2 Correct 0 ms 384 KB contestant found the optimal answer: 311760000 == 311760000
3 Correct 1 ms 1408 KB contestant found the optimal answer: 1989216017013 == 1989216017013
4 Correct 1 ms 384 KB contestant found the optimal answer: 1499437552673 == 1499437552673
5 Correct 1 ms 1152 KB contestant found the optimal answer: 1019625819 == 1019625819
6 Correct 1 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
# Verdict Execution time Memory Grader output
1 Correct 1 ms 384 KB contestant found the optimal answer: 21503404 == 21503404
2 Correct 0 ms 384 KB contestant found the optimal answer: 140412195 == 140412195
3 Correct 4 ms 2048 KB contestant found the optimal answer: 49729674225461 == 49729674225461
4 Correct 0 ms 384 KB contestant found the optimal answer: 37485571387523 == 37485571387523
5 Correct 4 ms 2048 KB contestant found the optimal answer: 679388326 == 679388326
6 Correct 4 ms 1792 KB contestant found the optimal answer: 4699030287 == 4699030287
7 Correct 5 ms 2048 KB contestant found the optimal answer: 12418819758185 == 12418819758185
8 Correct 5 ms 2176 KB contestant found the optimal answer: 31093317350 == 31093317350
9 Correct 1 ms 768 KB contestant found the optimal answer: 12194625429236 == 12194625429236
10 Correct 2 ms 1024 KB contestant found the optimal answer: 12345131038664 == 12345131038664
# Verdict Execution time Memory Grader output
1 Correct 1 ms 760 KB contestant found the optimal answer: 1818678304 == 1818678304
2 Correct 1 ms 768 KB contestant found the optimal answer: 1326260195 == 1326260195
3 Correct 25 ms 9472 KB contestant found the optimal answer: 4973126687469639 == 4973126687469639
4 Correct 1 ms 896 KB contestant found the optimal answer: 3748491676694116 == 3748491676694116
5 Correct 25 ms 5880 KB contestant found the optimal answer: 1085432199 == 1085432199
6 Correct 26 ms 6776 KB contestant found the optimal answer: 514790755404 == 514790755404
7 Correct 29 ms 7288 KB contestant found the optimal answer: 1256105310476641 == 1256105310476641
8 Correct 19 ms 6016 KB contestant found the optimal answer: 3099592898816 == 3099592898816
9 Correct 22 ms 6784 KB contestant found the optimal answer: 1241131419367412 == 1241131419367412
10 Correct 28 ms 8568 KB contestant found the optimal answer: 1243084101967798 == 1243084101967798
# Verdict Execution time Memory Grader output
1 Correct 8 ms 4864 KB contestant found the optimal answer: 19795776960 == 19795776960
2 Correct 8 ms 4864 KB contestant found the optimal answer: 19874432173 == 19874432173
3 Correct 244 ms 82676 KB contestant found the optimal answer: 497313449256899208 == 497313449256899208
4 Correct 8 ms 5504 KB contestant found the optimal answer: 374850090734572421 == 374850090734572421
5 Correct 401 ms 82040 KB contestant found the optimal answer: 36183271951 == 36183271951
6 Correct 249 ms 58480 KB contestant found the optimal answer: 51629847150471 == 51629847150471
7 Correct 289 ms 63096 KB contestant found the optimal answer: 124074747024496432 == 124074747024496432
8 Correct 185 ms 51960 KB contestant found the optimal answer: 309959349080800 == 309959349080800
9 Correct 198 ms 58744 KB contestant found the optimal answer: 124113525649823701 == 124113525649823701
10 Correct 254 ms 74488 KB contestant found the optimal answer: 124309619349406845 == 124309619349406845