oj.uz

Submission #231660

# Submission time Handle Problem Language Result Execution time Memory
231660 2020-05-14T09:47:58 Z kimbj0709 Building Bridges (CEOI17_building) C++14
60 / 100
 70 ms 9740 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] = {(int)0,(int)(-10000000000000000)};
  }
  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)!=-10000000000000000);
    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 8 ms 6656 KB Output is correct
2 Correct 8 ms 6656 KB Output is correct
3 Correct 8 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 9712 KB Output is correct
2 Correct 50 ms 9720 KB Output is correct
3 Correct 47 ms 9720 KB Output is correct
4 Correct 42 ms 9720 KB Output is correct
5 Correct 44 ms 9720 KB Output is correct

Subtask #3
0 / 40.0

# Verdict Execution time Memory Grader output
1 Correct 8 ms 6656 KB Output is correct
2 Correct 8 ms 6656 KB Output is correct
3 Correct 8 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 9712 KB Output is correct
7 Correct 50 ms 9720 KB Output is correct
8 Correct 47 ms 9720 KB Output is correct
9 Correct 42 ms 9720 KB Output is correct
10 Correct 44 ms 9720 KB Output is correct
11 Correct 70 ms 9712 KB Output is correct
12 Correct 63 ms 9720 KB Output is correct
13 Correct 51 ms 9720 KB Output is correct
14 Correct 60 ms 9712 KB Output is correct
15 Incorrect 42 ms 9740 KB Output isn't correct
16 Halted 0 ms 0 KB -