답안 #531459

# 제출 시각 아이디 문제 언어 결과 실행 시간 메모리
531459 2022-02-28T18:15:52 Z Soumya1 수열 (APIO14_sequence) C++17
100 / 100
795 ms 83464 KB
#include <bits/stdc++.h>
#ifdef __LOCAL__
#include <debug_local.h>
#endif
using namespace std;
using ll = long long;
struct Line {
  ll m = 0, c = 0, id = 0;
  Line(ll _m, ll _c, ll _id) : m(_m), c(_c), id(_id) { }
  ll get(ll x) { return m * x + c; }
  double intersection(Line o) { return (double) (o.c - c) / (double) (m - o.m); }
  bool good(Line l2, Line l3) { return __int128(l2.c - c) * (l2.m - l3.m) < __int128(l3.c - l2.c) * (m - l2.m); }
};
struct CHT {
  deque<Line> hull;
  void insert(Line l) {
    while (hull.size() > 1) {
      auto last = hull.end()[-1];
      auto p_last = hull.end()[-2];
      if (p_last.good(last, l)) break;
      hull.pop_back();
    }
    hull.push_back(l);
  }
  pair<ll, ll> query(ll x) {
    while (hull.size() > 1 && hull[0].get(x) < hull[1].get(x)) {
      hull.pop_front();
    }
    return {hull[0].get(x), hull[0].id};
  }
};
int par[100002][202];
void testCase() {
  int n, K;
  cin >> n >> K;
  vector<ll> a(n + 1);
  for (int i = 1; i <= n; i++) {
    cin >> a[i];
    a[i] += a[i - 1];
  }
  vector<ll> dp(n + 1);
  for (int k = 1; k <= K + 1; k++) {
    vector<ll> new_dp(n + 1);
    CHT cht;
    cht.insert(Line(a[k - 1], dp[k - 1] - a[k - 1] * a[n], k - 1));
    for (int i = k; i <= n; i++) {
      auto [x, id] = cht.query(a[i]);
      par[i][k] = id;
      x += a[n] * a[i] - a[i] * a[i];
      new_dp[i] = x;
      cht.insert(Line(a[i], dp[i] - a[n] * a[i], i));
    }
    // debug(new_dp);
    if (k == K + 1) {
      cout << new_dp[n] << "\n";
    }
    dp = new_dp;
  }
  vector<int> ans;
  {
    int cur = n;
    int k = K + 1;
    while (cur) {
      ans.push_back(cur);
      cur = par[cur][k];
      k--;
    }
  }
  reverse(ans.begin(), ans.end());
  ans.pop_back();
  for (int i : ans) cout << i << " ";
  cout << "\n";
}
int main() {
  ios::sync_with_stdio(false);
  cin.tie(nullptr);
  testCase();
  return 0;
}
# 결과 실행 시간 메모리 Grader output
1 Correct 1 ms 204 KB contestant found the optimal answer: 108 == 108
2 Correct 1 ms 320 KB contestant found the optimal answer: 999 == 999
3 Correct 0 ms 204 KB contestant found the optimal answer: 0 == 0
4 Correct 1 ms 332 KB contestant found the optimal answer: 1542524 == 1542524
5 Correct 1 ms 204 KB contestant found the optimal answer: 4500000000 == 4500000000
6 Correct 0 ms 204 KB contestant found the optimal answer: 1 == 1
7 Correct 1 ms 332 KB contestant found the optimal answer: 1 == 1
8 Correct 1 ms 204 KB contestant found the optimal answer: 1 == 1
9 Correct 1 ms 204 KB contestant found the optimal answer: 100400096 == 100400096
10 Correct 1 ms 324 KB contestant found the optimal answer: 900320000 == 900320000
11 Correct 1 ms 204 KB contestant found the optimal answer: 3698080248 == 3698080248
12 Correct 1 ms 204 KB contestant found the optimal answer: 3200320000 == 3200320000
13 Correct 1 ms 204 KB contestant found the optimal answer: 140072 == 140072
14 Correct 0 ms 204 KB contestant found the optimal answer: 376041456 == 376041456
15 Correct 1 ms 204 KB contestant found the optimal answer: 805 == 805
16 Correct 0 ms 316 KB contestant found the optimal answer: 900189994 == 900189994
17 Correct 0 ms 204 KB contestant found the optimal answer: 999919994 == 999919994
# 결과 실행 시간 메모리 Grader output
1 Correct 1 ms 324 KB contestant found the optimal answer: 1093956 == 1093956
2 Correct 1 ms 332 KB contestant found the optimal answer: 302460000 == 302460000
3 Correct 1 ms 324 KB contestant found the optimal answer: 122453454361 == 122453454361
4 Correct 1 ms 332 KB contestant found the optimal answer: 93663683509 == 93663683509
5 Correct 1 ms 332 KB contestant found the optimal answer: 1005304678 == 1005304678
6 Correct 1 ms 332 KB contestant found the optimal answer: 933702 == 933702
7 Correct 1 ms 332 KB contestant found the optimal answer: 25082842857 == 25082842857
8 Correct 1 ms 332 KB contestant found the optimal answer: 687136 == 687136
9 Correct 0 ms 332 KB contestant found the optimal answer: 27295930079 == 27295930079
10 Correct 0 ms 332 KB contestant found the optimal answer: 29000419931 == 29000419931
# 결과 실행 시간 메모리 Grader output
1 Correct 1 ms 460 KB contestant found the optimal answer: 610590000 == 610590000
2 Correct 1 ms 460 KB contestant found the optimal answer: 311760000 == 311760000
3 Correct 1 ms 460 KB contestant found the optimal answer: 1989216017013 == 1989216017013
4 Correct 1 ms 440 KB contestant found the optimal answer: 1499437552673 == 1499437552673
5 Correct 1 ms 460 KB contestant found the optimal answer: 1019625819 == 1019625819
6 Correct 1 ms 460 KB contestant found the optimal answer: 107630884 == 107630884
7 Correct 1 ms 460 KB contestant found the optimal answer: 475357671774 == 475357671774
8 Correct 1 ms 460 KB contestant found the optimal answer: 193556962 == 193556962
9 Correct 1 ms 460 KB contestant found the optimal answer: 482389919803 == 482389919803
10 Correct 1 ms 460 KB contestant found the optimal answer: 490686959791 == 490686959791
# 결과 실행 시간 메모리 Grader output
1 Correct 1 ms 1100 KB contestant found the optimal answer: 21503404 == 21503404
2 Correct 1 ms 1100 KB contestant found the optimal answer: 140412195 == 140412195
3 Correct 5 ms 1100 KB contestant found the optimal answer: 49729674225461 == 49729674225461
4 Correct 1 ms 1100 KB contestant found the optimal answer: 37485571387523 == 37485571387523
5 Correct 7 ms 1100 KB contestant found the optimal answer: 679388326 == 679388326
6 Correct 7 ms 1100 KB contestant found the optimal answer: 4699030287 == 4699030287
7 Correct 8 ms 1156 KB contestant found the optimal answer: 12418819758185 == 12418819758185
8 Correct 7 ms 1100 KB contestant found the optimal answer: 31093317350 == 31093317350
9 Correct 2 ms 1084 KB contestant found the optimal answer: 12194625429236 == 12194625429236
10 Correct 3 ms 1100 KB contestant found the optimal answer: 12345131038664 == 12345131038664
# 결과 실행 시간 메모리 Grader output
1 Correct 6 ms 8528 KB contestant found the optimal answer: 1818678304 == 1818678304
2 Correct 5 ms 8652 KB contestant found the optimal answer: 1326260195 == 1326260195
3 Correct 54 ms 8528 KB contestant found the optimal answer: 4973126687469639 == 4973126687469639
4 Correct 6 ms 8524 KB contestant found the optimal answer: 3748491676694116 == 3748491676694116
5 Correct 47 ms 8652 KB contestant found the optimal answer: 1085432199 == 1085432199
6 Correct 52 ms 8560 KB contestant found the optimal answer: 514790755404 == 514790755404
7 Correct 67 ms 8608 KB contestant found the optimal answer: 1256105310476641 == 1256105310476641
8 Correct 39 ms 8524 KB contestant found the optimal answer: 3099592898816 == 3099592898816
9 Correct 48 ms 8644 KB contestant found the optimal answer: 1241131419367412 == 1241131419367412
10 Correct 62 ms 8584 KB contestant found the optimal answer: 1243084101967798 == 1243084101967798
# 결과 실행 시간 메모리 Grader output
1 Correct 52 ms 82888 KB contestant found the optimal answer: 19795776960 == 19795776960
2 Correct 53 ms 82968 KB contestant found the optimal answer: 19874432173 == 19874432173
3 Correct 622 ms 83464 KB contestant found the optimal answer: 497313449256899208 == 497313449256899208
4 Correct 52 ms 83452 KB contestant found the optimal answer: 374850090734572421 == 374850090734572421
5 Correct 795 ms 83144 KB contestant found the optimal answer: 36183271951 == 36183271951
6 Correct 532 ms 82996 KB contestant found the optimal answer: 51629847150471 == 51629847150471
7 Correct 590 ms 83440 KB contestant found the optimal answer: 124074747024496432 == 124074747024496432
8 Correct 449 ms 83424 KB contestant found the optimal answer: 309959349080800 == 309959349080800
9 Correct 494 ms 83128 KB contestant found the optimal answer: 124113525649823701 == 124113525649823701
10 Correct 595 ms 83256 KB contestant found the optimal answer: 124309619349406845 == 124309619349406845