oj.uz

Submission #711813

# Submission time Handle Problem Language Result Execution time Memory
711813 2023-03-17T14:32:19 Z SA01 Fireworks (APIO16_fireworks) C++14
100 / 100
 230 ms 83332 KB 
#include <bits/stdc++.h>
using namespace std;

//#pragma GCC optimize("O3,unroll-loops")
//#pragma GCC target("avx2,bmi,bmi2,lzcnt")

using ll = long long int;
using ull = unsigned long long int;
using vi = vector<ll>;
using ii = pair<ll,ll>;
using vii = vector<ii>;
using ld = long double;

#include <ext/pb_ds/assoc_container.hpp>
#include <ext/pb_ds/tree_policy.hpp>
using namespace __gnu_pbds;
template<class T>
using ordered_set = tree < T, null_type, less<T>,
rb_tree_tag,
tree_order_statistics_node_update >;

#ifdef SA_DEBUG
template <class T>
void print(T a) {cerr << a << endl;}
template <class T, class... V> 
void print(T a, V... b) {cerr << a << ", "; print(b...);}
#define dbg(...) cerr << "[" << __LINE__ << "] " << #__VA_ARGS__ << " :: ", print(__VA_ARGS__)
#else
#define dbg(...) 7
#endif

#define eb emplace_back
#define fi first
#define se second

const ll INFL = 1e18;
const int INF = 1e9;
const double PI = acos(-1);
const ll mod = 1e9+7;

mt19937_64 rng(chrono::steady_clock::now().time_since_epoch().count());

template<class T, class V> 
ostream& operator << (ostream &s, pair<T, V> a){
	s << a.fi << ' ' << a.se; return s;
}

template<class T, class V> 
istream& operator >> (istream &s, pair<T, V> &a){
	s >> a.fi >> a.se; return s;
}

template<class T> 
ostream& operator << (ostream &s, vector<T> a){
	for(int i = 0; i < (int)a.size(); i++){
		if(i > 0)s << ' ' ; 
		s << a[i];
	} return s;
}

template<class T> 
istream& operator >> (istream &s, vector<T> &a){
	for(T &x : a)s >> x; 
	return s;
}

template<class T> 
void input(T a[], int l, int r, istream &s = cin){
	while(l <= r)s >> a[l++];
}

template<class T> 
void output(T a[], int l, int r, bool en = true, ostream &s = cout){
	while(l <= r){ s << a[l++];
		if(l <= r) s << ' ';
	} if(en)s << "\n";
}



const int N = 4e5+3, K = 17, M = 2e5 + 5;
//====================================================================//

template< typename T >
struct SlopeTrick {
  T INF = numeric_limits< T >::max() / 3;
  T min_f, add_l, add_r;
  priority_queue< T, vector< T >, less<> > L;
  priority_queue< T, vector< T >, greater<> > R;
  void push_R(const T &a) { R.push(a - add_r); }
  T top_R() const { return R.top() + add_r; }
  T pop_R() { T val=top_R(); R.pop(); return val;}
  void push_L(const T &a) { L.push(a - add_l); }
  T top_L() const { return L.top() + add_l; }
  T pop_L() { T val=top_L(); L.pop(); return val;}
public:
  SlopeTrick() : min_f(0), add_l(0), add_r(0) {
    L.push(-INF); R.push(INF);
  }
  // f(x) += a
  void add_all(const T &a) {
    min_f += a;
  }
  // add \_ ; f(x) += max(a - x, 0)
  void add_a_minus_x(const T &a) {
    if (a > top_R()) {
      min_f+=a-top_R(); push_L(pop_R());push_R(a);
    } else {
      push_L(a);
    }
  }
  // add _/ ; f(x) += max(x - a, 0)
  void add_x_minus_a(const T &a) {
    if (top_L() > a) {
      min_f+=top_L()-a;push_R(pop_L());push_L(a);
    } else {
      push_R(a);
    }
  }
  // add \/ ; f(x) += max(x - a, 0)
  void add_abs(const T &a) {
    add_a_minus_x(a); add_x_minus_a(a);
  }
  // \/ -> \_ ; f_{new} (x) = min f(y) (y <= x)
  void clear_right(){ while(R.size()>=2)R.pop(); }
  // \/ -> _/ ; f_{new} (x) = min f(y) (y >= x)
  void clear_left(){ while(L.size()>=2) L.pop(); }
  // \/. -> .\/ ; f_{new} (x) = f(x - a)
  void shift(const T &a) { add_l+=a; add_r+=a; }
  T get(const T &x) {
    T ret = min_f;
    if (!L.empty() && x < top_L()) {
      while(!L.empty())ret += max(T(0),pop_L()-x);
    }
    if (!R.empty() && top_R() < x) {
      while(!R.empty())ret += max(T(0),x-pop_R());
    }
    return ret;
  }
  int size(){
		return L.size() + R.size();
	}
};

using stp = SlopeTrick<ll>*;
vii adj[N];
stp merge(stp a, stp b){
	if(a == NULL)return b;
	if(b == NULL)return a;
	if(a -> size() > b -> size())swap(a, b);
	while(a -> L.size() > 1)b -> add_a_minus_x(a -> pop_L());
	while(a -> R.size() > 1)b -> add_x_minus_a(a -> pop_R());
	b -> min_f += a -> min_f;
	return b;
}
stp dfs(int ind){
	stp ret = NULL;
	for(auto [x, y] : adj[ind]){
		stp z = dfs(x);
		if(z == NULL){
			z = new SlopeTrick<ll>();
			z -> add_abs(y);
		}else{
			z -> push_L(z -> pop_L() + y);
			z -> push_R(z -> pop_R() + y);
		}
		ret = merge(ret, z);
	}
	if(ret != NULL){
		ll temp = ret -> top_R();
		ret -> clear_right();
		ret -> push_R(temp);
	}
	return ret;
}

void testcase(){
	int n, m;
	cin >> n >> m;
	for(int i = 2; i <= n + m; i++){
		int a, b;
		cin >> a >> b;
		adj[a].eb(i, b);
	}
	stp ans = dfs(1);
	cout << ans -> min_f << "\n";
}





int main(){
	ios::sync_with_stdio(false);
	cin.tie(NULL);
	int T = 1;
	
	//cin >> T;
	
	for(int qq = 1; qq <= T; ++qq){
		//cout << "Case #" << qq << ": ";
		testcase();
	}
	return 0;
}
/*
6 1597352862016328480
*/

Compilation message

fireworks.cpp: In function 'SlopeTrick<long long int>* dfs(int)':
fireworks.cpp:158:11: warning: structured bindings only available with '-std=c++17' or '-std=gnu++17'
  158 |  for(auto [x, y] : adj[ind]){
      |           ^

Subtask #1
7.0 / 7.0

# Verdict Execution time Memory Grader output
1 Correct 5 ms 9684 KB Output is correct
2 Correct 5 ms 9684 KB Output is correct
3 Correct 5 ms 9684 KB Output is correct
4 Correct 5 ms 9684 KB Output is correct
5 Correct 5 ms 9684 KB Output is correct
6 Correct 5 ms 9624 KB Output is correct
7 Correct 5 ms 9684 KB Output is correct
8 Correct 6 ms 9684 KB Output is correct
9 Correct 5 ms 9684 KB Output is correct
10 Correct 6 ms 9724 KB Output is correct

Subtask #2
19.0 / 19.0

# Verdict Execution time Memory Grader output
1 Correct 5 ms 9684 KB Output is correct
2 Correct 5 ms 9684 KB Output is correct
3 Correct 5 ms 9684 KB Output is correct
4 Correct 5 ms 9684 KB Output is correct
5 Correct 6 ms 9672 KB Output is correct
6 Correct 5 ms 9608 KB Output is correct
7 Correct 7 ms 9684 KB Output is correct
8 Correct 6 ms 9736 KB Output is correct
9 Correct 5 ms 9684 KB Output is correct
10 Correct 5 ms 9684 KB Output is correct
11 Correct 5 ms 9684 KB Output is correct
12 Correct 5 ms 9684 KB Output is correct
13 Correct 5 ms 9684 KB Output is correct
14 Correct 5 ms 9684 KB Output is correct
15 Correct 5 ms 9684 KB Output is correct
16 Correct 5 ms 9684 KB Output is correct
17 Correct 5 ms 9684 KB Output is correct
18 Correct 5 ms 9684 KB Output is correct
19 Correct 5 ms 9684 KB Output is correct

Subtask #3
29.0 / 29.0

# Verdict Execution time Memory Grader output
1 Correct 5 ms 9684 KB Output is correct
2 Correct 5 ms 9684 KB Output is correct
3 Correct 5 ms 9684 KB Output is correct
4 Correct 5 ms 9684 KB Output is correct
5 Correct 5 ms 9684 KB Output is correct
6 Correct 5 ms 9624 KB Output is correct
7 Correct 5 ms 9684 KB Output is correct
8 Correct 6 ms 9684 KB Output is correct
9 Correct 5 ms 9684 KB Output is correct
10 Correct 6 ms 9724 KB Output is correct
11 Correct 5 ms 9684 KB Output is correct
12 Correct 5 ms 9684 KB Output is correct
13 Correct 5 ms 9684 KB Output is correct
14 Correct 5 ms 9684 KB Output is correct
15 Correct 6 ms 9672 KB Output is correct
16 Correct 5 ms 9608 KB Output is correct
17 Correct 7 ms 9684 KB Output is correct
18 Correct 6 ms 9736 KB Output is correct
19 Correct 5 ms 9684 KB Output is correct
20 Correct 5 ms 9684 KB Output is correct
21 Correct 5 ms 9684 KB Output is correct
22 Correct 5 ms 9684 KB Output is correct
23 Correct 5 ms 9684 KB Output is correct
24 Correct 5 ms 9684 KB Output is correct
25 Correct 5 ms 9684 KB Output is correct
26 Correct 5 ms 9684 KB Output is correct
27 Correct 5 ms 9684 KB Output is correct
28 Correct 5 ms 9684 KB Output is correct
29 Correct 5 ms 9684 KB Output is correct
30 Correct 5 ms 9684 KB Output is correct
31 Correct 6 ms 9812 KB Output is correct
32 Correct 6 ms 9788 KB Output is correct
33 Correct 6 ms 9940 KB Output is correct
34 Correct 7 ms 9988 KB Output is correct
35 Correct 9 ms 10196 KB Output is correct
36 Correct 7 ms 10196 KB Output is correct
37 Correct 8 ms 10196 KB Output is correct
38 Correct 8 ms 10280 KB Output is correct
39 Correct 8 ms 10324 KB Output is correct
40 Correct 7 ms 10708 KB Output is correct
41 Correct 7 ms 10668 KB Output is correct
42 Correct 7 ms 9860 KB Output is correct
43 Correct 8 ms 10736 KB Output is correct
44 Correct 8 ms 10636 KB Output is correct
45 Correct 10 ms 10580 KB Output is correct
46 Correct 12 ms 10876 KB Output is correct
47 Correct 8 ms 10880 KB Output is correct
48 Correct 7 ms 10632 KB Output is correct
49 Correct 9 ms 10756 KB Output is correct
50 Correct 8 ms 10628 KB Output is correct
51 Correct 8 ms 10580 KB Output is correct
52 Correct 9 ms 10708 KB Output is correct
53 Correct 10 ms 10708 KB Output is correct
54 Correct 11 ms 10752 KB Output is correct

Subtask #4
45.0 / 45.0

# Verdict Execution time Memory Grader output
1 Correct 5 ms 9684 KB Output is correct
2 Correct 5 ms 9684 KB Output is correct
3 Correct 5 ms 9684 KB Output is correct
4 Correct 5 ms 9684 KB Output is correct
5 Correct 5 ms 9684 KB Output is correct
6 Correct 5 ms 9624 KB Output is correct
7 Correct 5 ms 9684 KB Output is correct
8 Correct 6 ms 9684 KB Output is correct
9 Correct 5 ms 9684 KB Output is correct
10 Correct 6 ms 9724 KB Output is correct
11 Correct 5 ms 9684 KB Output is correct
12 Correct 5 ms 9684 KB Output is correct
13 Correct 5 ms 9684 KB Output is correct
14 Correct 5 ms 9684 KB Output is correct
15 Correct 6 ms 9672 KB Output is correct
16 Correct 5 ms 9608 KB Output is correct
17 Correct 7 ms 9684 KB Output is correct
18 Correct 6 ms 9736 KB Output is correct
19 Correct 5 ms 9684 KB Output is correct
20 Correct 5 ms 9684 KB Output is correct
21 Correct 5 ms 9684 KB Output is correct
22 Correct 5 ms 9684 KB Output is correct
23 Correct 5 ms 9684 KB Output is correct
24 Correct 5 ms 9684 KB Output is correct
25 Correct 5 ms 9684 KB Output is correct
26 Correct 5 ms 9684 KB Output is correct
27 Correct 5 ms 9684 KB Output is correct
28 Correct 5 ms 9684 KB Output is correct
29 Correct 5 ms 9684 KB Output is correct
30 Correct 5 ms 9684 KB Output is correct
31 Correct 6 ms 9812 KB Output is correct
32 Correct 6 ms 9788 KB Output is correct
33 Correct 6 ms 9940 KB Output is correct
34 Correct 7 ms 9988 KB Output is correct
35 Correct 9 ms 10196 KB Output is correct
36 Correct 7 ms 10196 KB Output is correct
37 Correct 8 ms 10196 KB Output is correct
38 Correct 8 ms 10280 KB Output is correct
39 Correct 8 ms 10324 KB Output is correct
40 Correct 7 ms 10708 KB Output is correct
41 Correct 7 ms 10668 KB Output is correct
42 Correct 7 ms 9860 KB Output is correct
43 Correct 8 ms 10736 KB Output is correct
44 Correct 8 ms 10636 KB Output is correct
45 Correct 10 ms 10580 KB Output is correct
46 Correct 12 ms 10876 KB Output is correct
47 Correct 8 ms 10880 KB Output is correct
48 Correct 7 ms 10632 KB Output is correct
49 Correct 9 ms 10756 KB Output is correct
50 Correct 8 ms 10628 KB Output is correct
51 Correct 8 ms 10580 KB Output is correct
52 Correct 9 ms 10708 KB Output is correct
53 Correct 10 ms 10708 KB Output is correct
54 Correct 11 ms 10752 KB Output is correct
55 Correct 12 ms 11272 KB Output is correct
56 Correct 30 ms 15676 KB Output is correct
57 Correct 63 ms 19940 KB Output is correct
58 Correct 71 ms 22736 KB Output is correct
59 Correct 104 ms 27076 KB Output is correct
60 Correct 128 ms 31356 KB Output is correct
61 Correct 185 ms 34368 KB Output is correct
62 Correct 152 ms 36980 KB Output is correct
63 Correct 190 ms 42340 KB Output is correct
64 Correct 213 ms 44044 KB Output is correct
65 Correct 132 ms 70968 KB Output is correct
66 Correct 119 ms 70896 KB Output is correct
67 Correct 102 ms 24232 KB Output is correct
68 Correct 169 ms 71860 KB Output is correct
69 Correct 209 ms 69020 KB Output is correct
70 Correct 198 ms 68900 KB Output is correct
71 Correct 222 ms 83332 KB Output is correct
72 Correct 224 ms 83256 KB Output is correct
73 Correct 207 ms 79796 KB Output is correct
74 Correct 215 ms 79988 KB Output is correct
75 Correct 220 ms 78156 KB Output is correct
76 Correct 213 ms 78280 KB Output is correct
77 Correct 220 ms 75732 KB Output is correct
78 Correct 230 ms 74780 KB Output is correct
79 Correct 210 ms 74248 KB Output is correct