oj.uz

Submission #231655

# Submission time Handle Problem Language Result Execution time Memory
231655 2020-05-14T09:43:46 Z kimbj0709 Building Bridges (CEOI17_building) C++14
60 / 100
 65 ms 9720 KB 
#include <bits/stdc++.h>
using namespace std;
#define int long long
#define maxn 100050
struct Line {
  int m, b;
  int operator()(int x) { return m * x + b; }
} a[maxn*4];
void insert(int l, int r, Line seg, int o) {
  if(l + 1 == r) {
    if(seg(l) > a[o](l)) a[o] = seg;
    return;
  }
  int mid= (l + r) >> 1, lson = o * 2 + 1, rson = o * 2 + 2;
  if(a[o].m > seg.m) swap(a[o], seg);
  if(a[o](mid) < seg(mid)) {
    swap(a[o], seg);
    insert(l, mid, seg, lson);
  }
  else insert(mid, r, seg, rson);
}
int query(int l, int r, int x, int o) {
  if(l + 1 == r) return a[o](x);
  int mid = (l + r) >> 1, lson = o * 2 + 1, rson = o * 2 + 2;
  if(x < mid) return max(a[o](x), query(l, mid, x, lson));
  else return max(a[o](x), query(mid, r, x, rson));
}
int32_t main() {
  ios::sync_with_stdio(0);
  cin.tie(0);cout.tie(0);
  for(int i=0;i<maxn*4;i++){
    a[i] = {0,-9000000000000000000};
  }
  int no_of_input;
  cin >> no_of_input;
  int input;
  int s = 0;
  vector<int> vect1;
  vector<int> vect2;
  vector<int> dp(no_of_input+1,0);
  for(int i=0;i<no_of_input;i++){
    cin >> input;
    vect1.push_back(input);
  }
  for(int i=0;i<no_of_input;i++){
    cin >> input;
    s += input;
    vect2.push_back(input);
  }

  s -= vect2[0];
  vect2[0] = 0;
  dp[0] = 0;
  Line temp;
  temp.m = 2*vect1[0];
  temp.b = -(vect1[0]*vect1[0]-vect2[0]);
  insert(0,maxn,temp,0);
  for(int i=1;i<no_of_input;i++){
    //cout << query(0,maxn,vect1[i],0) << endl;
    assert(query(0,maxn,vect1[i],0)!=-9000000000000000000);
    dp[i] = -query(0,maxn,vect1[i],0)-vect2[i]+vect1[i]*vect1[i];
    Line temp;
    temp.m = 2*vect1[i];
    temp.b = -(vect1[i]*vect1[i]+dp[i]);
    //cout << temp.m << " " << temp.b << endl;
    insert(0,maxn,temp,0);
  }
  /*for(int i=0;i<no_of_input;i++){
    cout << dp[i] << ' ';
  }
  cout << endl;*/
  cout << dp[no_of_input-1]+s;
}

Subtask #1
30.0 / 30.0

# Verdict Execution time Memory Grader output
1 Correct 7 ms 6528 KB Output is correct
2 Correct 7 ms 6656 KB Output is correct
3 Correct 7 ms 6656 KB Output is correct
4 Correct 8 ms 6656 KB Output is correct
5 Correct 8 ms 6656 KB Output is correct

Subtask #2
30.0 / 30.0

# Verdict Execution time Memory Grader output
1 Correct 44 ms 9720 KB Output is correct
2 Correct 43 ms 9720 KB Output is correct
3 Correct 44 ms 9720 KB Output is correct
4 Correct 43 ms 9720 KB Output is correct
5 Correct 46 ms 9720 KB Output is correct

Subtask #3
0 / 40.0

# Verdict Execution time Memory Grader output
1 Correct 7 ms 6528 KB Output is correct
2 Correct 7 ms 6656 KB Output is correct
3 Correct 7 ms 6656 KB Output is correct
4 Correct 8 ms 6656 KB Output is correct
5 Correct 8 ms 6656 KB Output is correct
6 Correct 44 ms 9720 KB Output is correct
7 Correct 43 ms 9720 KB Output is correct
8 Correct 44 ms 9720 KB Output is correct
9 Correct 43 ms 9720 KB Output is correct
10 Correct 46 ms 9720 KB Output is correct
11 Correct 61 ms 9720 KB Output is correct
12 Correct 56 ms 9720 KB Output is correct
13 Correct 50 ms 9720 KB Output is correct
14 Correct 65 ms 9720 KB Output is correct
15 Incorrect 43 ms 9712 KB Output isn't correct
16 Halted 0 ms 0 KB -