Submission #531671

# Submission time Handle Problem Language Result Execution time Memory
531671 2022-03-01T08:49:12 Z erke Split the sequence (APIO14_sequence) C++11
71 / 100
2000 ms 103584 KB
#include <bits/stdc++.h>
using namespace std;

typedef long long ll;
typedef vector<ll> vl;

const ll oo = 3e18;

int n, k;
vector<ll> comp;

template <typename T>
bool chmax(T &a, T b) {
  return (a < b) ? a = b, 1 : 0;
}

struct Line {
  ll a, b, id;
  Line() { a = 0; b = -oo; id = -1; }
  Line(ll _a, ll _b, ll _id): a(_a), b(_b), id(_id) {}
  ll operator()(ll x) { return a * x + b; }
};

struct Node {
  Line line;
  Node *left, *right;
  Node() { left = right = nullptr; }
};

struct LCT {
  Node *root;
  LCT() { root = new Node; }
  void update(Node* &node, ll l, ll r, Line line) {
    if (l > r) return;
    if (node == nullptr) node = new Node;
    if (l == r) {
      if (line(comp[l]) > node->line(comp[l])) node->line = line;
      return;
    }
    ll m = (l + r) / 2;
    if (line.a < node->line.a) swap(line, node->line);
    if (line(comp[m]) > node->line(comp[m])) {
      swap(line, node->line);
      update(node->left, l, m, line);
    }
    else update(node->right, m + 1, r, line);
  }
  pair<ll,ll> get(Node* &node, ll l, ll r, ll x, ll i) {
    if (l > r || node == nullptr) return {-oo, -1};
    pair<ll,ll> cur = {node->line(x), node->line.id};
    if (node->line.id >= i) cur = {-oo, -1};
    if (l == r) return cur;
    ll m = (l + r) / 2;
    if (x < comp[m]) return max(cur, get(node->left, l, m, x, i));
    else return max(cur, get(node->right, m + 1, r, x, i));
  }
  void update(Line line) {
    update(root, 0, (int) comp.size() - 1, line);
  }
  pair<ll,ll> get(ll x, ll i) {
    return get(root, 0, (int) comp.size() - 1, x, i);
  }
  void clear(Node* &node) {
    if (node == nullptr) return;
    clear(node->left);
    clear(node->right);
    delete node;
  }
  void clear() {
    clear(root);
    root = new Node;
  }
};

int main() {
  cin.tie(0)->sync_with_stdio(0);
  cin >> n >> k;
  vector<ll> a(n + 1), s(n + 1);
  for (int i = 1; i <= n; i++) {
    cin >> a[i];
    s[i] = a[i] + s[i - 1];
    comp.push_back(s[i]);
  }
  sort(comp.begin(), comp.end());
  comp.resize(unique(comp.begin(), comp.end()) - comp.begin());
  vector<LCT> lct(2);
  vector<vector<int>> trace(n + 1, vector<int>(k + 1));
  ll ans = 0;
  for (int l = 0; l <= k; l++) {
    lct[l % 2].clear();
    for (int i = 1; i <= n; i++) {
      ll tmp = 0;
      if (l >= 1) tie(tmp, trace[i][l]) = lct[(l + 1) % 2].get(s[i], i);
      lct[l % 2].update(Line(s[i], - (s[i] * s[i]) + tmp, i));
      if (i == n && l == k) ans = tmp;
    }
  }
  cout << ans << '\n';
  for (int i = n, j = k; j >= 1; j--) {
    i = trace[i][j];
    cout << i << ' ';
  }
  cout << '\n';
}
# Verdict Execution time Memory Grader output
1 Correct 1 ms 204 KB contestant found the optimal answer: 108 == 108
2 Correct 0 ms 204 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 204 KB contestant found the optimal answer: 1542524 == 1542524
5 Correct 0 ms 204 KB contestant found the optimal answer: 4500000000 == 4500000000
6 Correct 1 ms 204 KB contestant found the optimal answer: 1 == 1
7 Correct 1 ms 204 KB contestant found the optimal answer: 1 == 1
8 Correct 0 ms 204 KB contestant found the optimal answer: 1 == 1
9 Correct 0 ms 204 KB contestant found the optimal answer: 100400096 == 100400096
10 Correct 0 ms 204 KB contestant found the optimal answer: 900320000 == 900320000
11 Correct 0 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 0 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 1 ms 204 KB contestant found the optimal answer: 900189994 == 900189994
17 Correct 0 ms 204 KB contestant found the optimal answer: 999919994 == 999919994
# Verdict Execution time Memory Grader output
1 Correct 0 ms 204 KB contestant found the optimal answer: 1093956 == 1093956
2 Correct 0 ms 204 KB contestant found the optimal answer: 302460000 == 302460000
3 Correct 1 ms 204 KB contestant found the optimal answer: 122453454361 == 122453454361
4 Correct 0 ms 204 KB contestant found the optimal answer: 93663683509 == 93663683509
5 Correct 1 ms 204 KB contestant found the optimal answer: 1005304678 == 1005304678
6 Correct 1 ms 204 KB contestant found the optimal answer: 933702 == 933702
7 Correct 1 ms 204 KB contestant found the optimal answer: 25082842857 == 25082842857
8 Correct 1 ms 204 KB contestant found the optimal answer: 687136 == 687136
9 Correct 1 ms 204 KB contestant found the optimal answer: 27295930079 == 27295930079
10 Correct 1 ms 204 KB contestant found the optimal answer: 29000419931 == 29000419931
# Verdict Execution time Memory Grader output
1 Correct 1 ms 332 KB contestant found the optimal answer: 610590000 == 610590000
2 Correct 1 ms 332 KB contestant found the optimal answer: 311760000 == 311760000
3 Correct 7 ms 460 KB contestant found the optimal answer: 1989216017013 == 1989216017013
4 Correct 1 ms 332 KB contestant found the optimal answer: 1499437552673 == 1499437552673
5 Correct 5 ms 460 KB contestant found the optimal answer: 1019625819 == 1019625819
6 Correct 6 ms 460 KB contestant found the optimal answer: 107630884 == 107630884
7 Correct 7 ms 516 KB contestant found the optimal answer: 475357671774 == 475357671774
8 Correct 2 ms 332 KB contestant found the optimal answer: 193556962 == 193556962
9 Correct 2 ms 332 KB contestant found the optimal answer: 482389919803 == 482389919803
10 Correct 3 ms 332 KB contestant found the optimal answer: 490686959791 == 490686959791
# Verdict Execution time Memory Grader output
1 Correct 1 ms 460 KB contestant found the optimal answer: 21503404 == 21503404
2 Correct 1 ms 460 KB contestant found the optimal answer: 140412195 == 140412195
3 Correct 40 ms 1344 KB contestant found the optimal answer: 49729674225461 == 49729674225461
4 Correct 1 ms 460 KB contestant found the optimal answer: 37485571387523 == 37485571387523
5 Correct 38 ms 1284 KB contestant found the optimal answer: 679388326 == 679388326
6 Correct 33 ms 1164 KB contestant found the optimal answer: 4699030287 == 4699030287
7 Correct 44 ms 1312 KB contestant found the optimal answer: 12418819758185 == 12418819758185
8 Correct 43 ms 1228 KB contestant found the optimal answer: 31093317350 == 31093317350
9 Correct 8 ms 684 KB contestant found the optimal answer: 12194625429236 == 12194625429236
10 Correct 15 ms 716 KB contestant found the optimal answer: 12345131038664 == 12345131038664
# Verdict Execution time Memory Grader output
1 Correct 9 ms 2316 KB contestant found the optimal answer: 1818678304 == 1818678304
2 Correct 5 ms 1612 KB contestant found the optimal answer: 1326260195 == 1326260195
3 Correct 497 ms 10616 KB contestant found the optimal answer: 4973126687469639 == 4973126687469639
4 Correct 12 ms 2764 KB contestant found the optimal answer: 3748491676694116 == 3748491676694116
5 Correct 270 ms 7060 KB contestant found the optimal answer: 1085432199 == 1085432199
6 Correct 319 ms 7472 KB contestant found the optimal answer: 514790755404 == 514790755404
7 Correct 355 ms 8640 KB contestant found the optimal answer: 1256105310476641 == 1256105310476641
8 Correct 281 ms 7492 KB contestant found the optimal answer: 3099592898816 == 3099592898816
9 Correct 322 ms 7984 KB contestant found the optimal answer: 1241131419367412 == 1241131419367412
10 Correct 438 ms 9796 KB contestant found the optimal answer: 1243084101967798 == 1243084101967798
# Verdict Execution time Memory Grader output
1 Correct 91 ms 20544 KB contestant found the optimal answer: 19795776960 == 19795776960
2 Correct 89 ms 19960 KB contestant found the optimal answer: 19874432173 == 19874432173
3 Execution timed out 2071 ms 103584 KB Time limit exceeded
4 Halted 0 ms 0 KB -