oj.uz

Submission #1099835

# Submission time Handle Problem Language Result Execution time Memory
1099835 2024-10-12T05:32:44 Z model_code Tree (IOI24_tree) C++17
41 / 100
 2000 ms 63668 KB 
// time_limit/yiping-qnlog2n.cpp

// Complexity: O(qnlog^2 n)
// One can change the 'map' in 'DS' into other DS to obtain a complexity of O(qnlog n)
#include<bits/stdc++.h>
#include"tree.h"
using namespace std;
typedef long long ll;
typedef pair<int,int> pii;
const int MAXN = 3e5 + 5;

struct DS
{
	map<int,ll> q;
	void clear(void){ q.clear();}
	void insert(int x,ll y){ q[x] += y;}
	ll cutl(ll k)
	{
		ll res = 0;
		while(q.size() && q.begin() -> second <= k)
		{
			auto t = *q.begin();
			k -= t.second;
			res += (ll)t.first * t.second;
			q.erase(q.begin());
		}
		if(q.size() && k)
		{
			q.begin() -> second -= k;
			res += (ll)q.begin() -> first * k;
		}
		return res;
	}
	void cutr(ll k)
	{
		while(q.size() && q.rbegin() -> second <= k)
		{
			k -= q.rbegin() -> second;
			q.erase(prev(q.end()));
		}
		if(q.size() && k)
		{
			q.rbegin() -> second -= k;
		}
	}
	void merge(DS &oth)
	{
		if(q.size() < oth.q.size())
			q.swap(oth.q);
		for(auto t: oth.q)
			q[t.first] += t.second;
		oth.q.clear();
	}
	void replace(int k)
	{
		ll len = 0;
		while(q.size() && q.rbegin() -> first > k)
		{
			len += q.rbegin() -> second;
			q.erase(prev(q.end()));
		}
		q[k] += len;
	}
};

struct Hull
{
	ll c, val, l, r;
	DS hl, hr;
	void init(void)
	{
		c = l = r = 0; val = 0;
		hl.clear(); hr.clear();
	}
	void merge(Hull &oth)
	{
		c += oth.c; val += oth.val;
		l += oth.l; r += oth.r;
		hl.merge(oth.hl);
		hr.merge(oth.hr);
	}
	void trim(int ql,int qr,int w)
	{
		if(r < qr) hr.insert(w, qr - r), r = qr;
		if(l > ql) hl.insert(w, l - ql), l = ql;
		
		hl.replace(w);
		hr.replace(w);
		
		if(c < ql)
		{
			hl.clear(); val += hr.cutl(ql - c); c = l = ql;
		}
		if(c > qr)
		{
			hr.clear(); val += hl.cutl(c - qr); c = r = qr;
		}
		
		if(r > qr) hr.cutr(r - qr), r = qr;
		if(l < ql) hl.cutr(ql - l), l = ql;
	}
	void print(void)
	{
		printf("c = %lld, val = %lld, l = %lld, r = %lld\n",c,val,l,r);
		printf("hl: ");
		for(auto t: hl.q)
			printf("(%d, %lld), ",t.first,t.second);
		printf("\n");
		printf("hr: ");
		for(auto t: hr.q)
			printf("(%d, %lld), ",t.first,t.second);
		printf("\n");
	}
};

int n;
vector<int> g[MAXN];
int anc[MAXN], wei[MAXN];

Hull f[MAXN];

ll query(int ql,int qr)
{
//	printf("query: ql = %d, qr = %d\n",ql,qr);
	
	for(int u=n; u>=1; --u)
	{
		f[u].init();
		for(int v: g[u])
			f[u].merge(f[v]);
		f[u].trim(ql, qr, wei[u]);
		
//		printf("g[%d]: ",u);
//		for(auto v: g[u])
//			printf("%d ",v);
//		printf("\n");
//		
//		printf("f[%d]:\n",u);
//		f[u].print();
//		printf("\n");
	}
	return f[1].val;
}

void init(vector<int> _anc, vector<int> _wei)
{
	n = (int)_anc.size();
	for(int i=1; i<=n; ++i)
		g[i].clear();
	for(int i=1; i<=n; ++i)
	{
		anc[i] = _anc[i-1] + 1;
		wei[i] = _wei[i-1];
		if(i > 1)
			g[anc[i]].emplace_back(i);
	}
}

Subtask #0
0.0 / 0.0

# Verdict Execution time Memory Grader output
1 Correct 23 ms 44956 KB Output is correct

Subtask #1
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 273 ms 54396 KB Output is correct
2 Correct 127 ms 54408 KB Output is correct
3 Correct 228 ms 51792 KB Output is correct
4 Correct 308 ms 53584 KB Output is correct
5 Correct 249 ms 53540 KB Output is correct
6 Correct 181 ms 53528 KB Output is correct
7 Correct 272 ms 53548 KB Output is correct
8 Correct 299 ms 55100 KB Output is correct
9 Correct 258 ms 52820 KB Output is correct
10 Correct 1117 ms 61680 KB Output is correct

Subtask #2
13.0 / 13.0

# Verdict Execution time Memory Grader output
1 Correct 31 ms 45220 KB Output is correct
2 Correct 24 ms 45096 KB Output is correct
3 Correct 21 ms 44932 KB Output is correct
4 Correct 22 ms 45148 KB Output is correct
5 Correct 24 ms 45148 KB Output is correct
6 Correct 21 ms 45148 KB Output is correct
7 Correct 30 ms 44888 KB Output is correct
8 Correct 36 ms 45136 KB Output is correct

Subtask #3
18.0 / 18.0

# Verdict Execution time Memory Grader output
1 Correct 31 ms 45220 KB Output is correct
2 Correct 24 ms 45096 KB Output is correct
3 Correct 21 ms 44932 KB Output is correct
4 Correct 22 ms 45148 KB Output is correct
5 Correct 24 ms 45148 KB Output is correct
6 Correct 21 ms 45148 KB Output is correct
7 Correct 30 ms 44888 KB Output is correct
8 Correct 36 ms 45136 KB Output is correct
9 Correct 156 ms 50808 KB Output is correct
10 Correct 159 ms 52860 KB Output is correct
11 Correct 144 ms 50300 KB Output is correct
12 Correct 113 ms 47748 KB Output is correct
13 Correct 95 ms 47196 KB Output is correct
14 Correct 88 ms 47196 KB Output is correct
15 Correct 107 ms 47440 KB Output is correct
16 Correct 138 ms 47584 KB Output is correct
17 Correct 108 ms 47448 KB Output is correct
18 Correct 96 ms 47440 KB Output is correct
19 Correct 119 ms 47488 KB Output is correct
20 Correct 90 ms 47392 KB Output is correct
21 Correct 95 ms 47224 KB Output is correct
22 Correct 214 ms 49908 KB Output is correct

Subtask #4
0.0 / 7.0

# Verdict Execution time Memory Grader output
1 Execution timed out 2027 ms 55980 KB Time limit exceeded
2 Halted 0 ms 0 KB -

Subtask #5
0.0 / 11.0

# Verdict Execution time Memory Grader output
1 Execution timed out 2027 ms 55980 KB Time limit exceeded
2 Halted 0 ms 0 KB -

Subtask #6
0.0 / 22.0

# Verdict Execution time Memory Grader output
1 Execution timed out 2013 ms 63668 KB Time limit exceeded
2 Halted 0 ms 0 KB -

Subtask #7
0.0 / 19.0

# Verdict Execution time Memory Grader output
1 Correct 23 ms 44956 KB Output is correct
2 Correct 273 ms 54396 KB Output is correct
3 Correct 127 ms 54408 KB Output is correct
4 Correct 228 ms 51792 KB Output is correct
5 Correct 308 ms 53584 KB Output is correct
6 Correct 249 ms 53540 KB Output is correct
7 Correct 181 ms 53528 KB Output is correct
8 Correct 272 ms 53548 KB Output is correct
9 Correct 299 ms 55100 KB Output is correct
10 Correct 258 ms 52820 KB Output is correct
11 Correct 1117 ms 61680 KB Output is correct
12 Correct 31 ms 45220 KB Output is correct
13 Correct 24 ms 45096 KB Output is correct
14 Correct 21 ms 44932 KB Output is correct
15 Correct 22 ms 45148 KB Output is correct
16 Correct 24 ms 45148 KB Output is correct
17 Correct 21 ms 45148 KB Output is correct
18 Correct 30 ms 44888 KB Output is correct
19 Correct 36 ms 45136 KB Output is correct
20 Correct 156 ms 50808 KB Output is correct
21 Correct 159 ms 52860 KB Output is correct
22 Correct 144 ms 50300 KB Output is correct
23 Correct 113 ms 47748 KB Output is correct
24 Correct 95 ms 47196 KB Output is correct
25 Correct 88 ms 47196 KB Output is correct
26 Correct 107 ms 47440 KB Output is correct
27 Correct 138 ms 47584 KB Output is correct
28 Correct 108 ms 47448 KB Output is correct
29 Correct 96 ms 47440 KB Output is correct
30 Correct 119 ms 47488 KB Output is correct
31 Correct 90 ms 47392 KB Output is correct
32 Correct 95 ms 47224 KB Output is correct
33 Correct 214 ms 49908 KB Output is correct
34 Execution timed out 2027 ms 55980 KB Time limit exceeded
35 Halted 0 ms 0 KB -