oj.uz

Submission #942331

# Submission time Handle Problem Language Result Execution time Memory
942331 2024-03-10T13:01:49 Z vjudge1 Building Bridges (CEOI17_building) C++17
100 / 100
 51 ms 50676 KB 
#include <bits/stdc++.h>
#include <ext/pb_ds/assoc_container.hpp>
#include <ext/pb_ds/tree_policy.hpp>
#define pii pair<int,int>
using namespace __gnu_pbds;
using namespace std;
#define pb push_back
#define all(x) x.begin(),x.end()
#define rall(x) x.rbegin(),x.rend()
#define f first
#define int long long
#define s second
#define pii pair<int,int>
template<class T>bool umax(T &a,T b){if(a<b){a=b;return true;}return false;}
template<class T>bool umin(T &a,T b){if(b<a){a=b;return true;}return false;}
typedef tree<int, null_type, less_equal<int>, rb_tree_tag,
	tree_order_statistics_node_update> ordered_set;
const int N=1e6 + 5	;
const int inf = 1e18 + 7;
const int mod = 998244353;

pii t[N*4];
vector<int> h(N),w(N);
int sum = 0;

int f(int a, int b, int c){
	return a*b+c;	
}

void build(int tl, int tr, int v){
	t[v] = {1e9,inf};
	
	if(tl == tr)return;
	
	int tm = (tl + tr)/2;
	build(tl,tm,v*2);
	build(tm+1,tr,v*2+1);
}

void add(int tl, int tr, int v, int a, int b){
	
	if(tl == tr){
		if(f(t[v].f,tl,t[v].s) > f(a,tl,b)){
			t[v] = {a,b};
		}
		return;
	}
	
	int tm = (tl + tr)/2;
	
	if(a < t[v].f){
		swap(a,t[v].f);
		swap(b,t[v].s);
	}
	if(f(a,tm,b) >= f(t[v].f,tm,t[v].s))
		add(tl,tm,v*2,a,b);
	else{
		add(tm+1,tr,v*2+1,t[v].f,t[v].s);
		t[v] = {a,b};
	}
}
 
int get(int tl, int tr, int v, int x){
	if(tl == tr)return f(t[v].f,x,t[v].s);
	
	int tm = (tl + tr)/2;
	if(x <= tm)return min(f(t[v].f,x,t[v].s),get(tl,tm,v*2,x));
	else return min(f(t[v].f,x,t[v].s),get(tm+1,tr,v*2+1,x));

}

void solve(){
	
	int n,m,k;
	
	cin >> n;
	
	for(int i = 1;i<=n;i++){
		cin>>h[i];
	}
	
	for(int i = 1;i<=n;i++){
		cin>>w[i];
		sum += w[i];
	}
	
	build(1,N-1,1);
	
	add(1,N-1,1,-2*h[1],-w[1]+h[1]*h[1]);
	
	vector<int>dp(n+1);
	for(int i = 2;i<=n;i++){
		dp[i] = get(1,N-1 ,1,h[i]) + h[i]*h[i] - w[i];
		add(1,N,1,-2*h[i],dp[i]+h[i]*h[i]);
	}
	
	cout<<dp[n]+sum<<'\n';	
}
/*
6
3 8 7 1 6 6
0 -1 9 1 2 0
*/
signed main()
{
//	freopen("seq.in", "r", stdin);
//  freopen("seq.out", "w", stdout);
	ios_base::sync_with_stdio(0);cin.tie(NULL);cout.tie(NULL);
	int tt=1;//cin>>tt>>n;
	while(tt--)solve();

}

Compilation message

building.cpp: In function 'void solve()':
building.cpp:74:8: warning: unused variable 'm' [-Wunused-variable]
   74 |  int n,m,k;
      |        ^
building.cpp:74:10: warning: unused variable 'k' [-Wunused-variable]
   74 |  int n,m,k;
      |          ^

Subtask #1
30.0 / 30.0

# Verdict Execution time Memory Grader output
1 Correct 10 ms 48988 KB Output is correct
2 Correct 10 ms 48988 KB Output is correct
3 Correct 9 ms 49124 KB Output is correct
4 Correct 11 ms 48984 KB Output is correct
5 Correct 10 ms 48988 KB Output is correct

Subtask #2
30.0 / 30.0

# Verdict Execution time Memory Grader output
1 Correct 45 ms 50516 KB Output is correct
2 Correct 46 ms 50512 KB Output is correct
3 Correct 45 ms 50516 KB Output is correct
4 Correct 42 ms 50672 KB Output is correct
5 Correct 38 ms 50548 KB Output is correct

Subtask #3
40.0 / 40.0

# Verdict Execution time Memory Grader output
1 Correct 10 ms 48988 KB Output is correct
2 Correct 10 ms 48988 KB Output is correct
3 Correct 9 ms 49124 KB Output is correct
4 Correct 11 ms 48984 KB Output is correct
5 Correct 10 ms 48988 KB Output is correct
6 Correct 45 ms 50516 KB Output is correct
7 Correct 46 ms 50512 KB Output is correct
8 Correct 45 ms 50516 KB Output is correct
9 Correct 42 ms 50672 KB Output is correct
10 Correct 38 ms 50548 KB Output is correct
11 Correct 51 ms 50676 KB Output is correct
12 Correct 50 ms 50676 KB Output is correct
13 Correct 45 ms 50512 KB Output is correct
14 Correct 50 ms 50516 KB Output is correct
15 Correct 38 ms 50512 KB Output is correct
16 Correct 37 ms 50516 KB Output is correct
17 Correct 31 ms 50524 KB Output is correct
18 Correct 33 ms 50528 KB Output is correct