QOJ.ac

QOJ

IDProblemSubmitterResultTimeMemoryLanguageFile sizeSubmit timeJudge time
#432715#7622. Yet Another CoffeeZxc200611#WA 1ms7760kbC++141.9kb2024-06-07 15:34:572024-06-07 15:34:58

Judging History

你现在查看的是最新测评结果

  • [2024-06-07 15:34:58]
  • 评测
  • 测评结果:WA
  • 用时:1ms
  • 内存:7760kb
  • [2024-06-07 15:34:57]
  • 提交

answer

/*
对于一个 k,求出在 i 或之后,最便宜的 k-1 个物品的价值和 f[k-1](i),那么答案是:
	min(i){ v[i] - w[i] + f[k-1](i+1) }
随着 k 的增长,较靠后的 i 的答案会变大地更快。
决策单调性。v[i]-w[i] 可以取前缀 min。
需要维护数集,支持插入、k+=1、求前 k 小值之和。对顶堆?
*/
#include<bits/stdc++.h>
using namespace std;
#define int long long
const int inf=1e16;
int n,m;
int v[210000],w[210000],mvw[210000];
struct Heaps
{
	priority_queue<int,vector<int>,less<int>> q;
	priority_queue<int,vector<int>,greater<int>> nq;
	int sum;
	void insert(int x)
	{
		// cout<<"Insert x="<<x<<endl;
		if(!q.empty()&&x<q.top())
		{
			sum+=x-q.top();
			nq.push(q.top());
			q.pop();
			q.push(x);
		}
		else
			nq.push(x);
	}
	void addK()
	{
		// cout<<"AddK add "<<nq.top()<<endl;
		sum+=nq.top();
		q.push(nq.top());
		nq.pop();
	}
	int sumIfInsert(int x)
	{
		// cout<<"SumIfInsert x="<<x<<" = "<<(!q.empty()&&x<q.top()?sum-q.top()+x:sum)<<endl;
		return !q.empty()&&x<q.top()?sum-q.top()+x:sum;
	}
};
Heaps q;
void clear()
{
	for(int i=0;i<=n+10;i++)
		v[i]=w[i]=mvw[i]=0;
	q.q=priority_queue<int,vector<int>,less<int>>();
	q.nq=priority_queue<int,vector<int>,greater<int>>();
	q.sum=0;
}
signed main()
{
	ios::sync_with_stdio(0);
	cin.tie(0);
	int T;
	cin>>T;
	for(int _=1;_<=T;_++)
	{
		cin>>n>>m;
		for(int i=1;i<=n;i++)
			cin>>v[i];
		for(int i=1;i<=m;i++)
		{
			int t,r;
			cin>>t>>r;
			w[t]+=r;
		}
		for(int i=n;i>=1;i--)
			w[i]+=w[i+1];
		for(int i=1;i<=n;i++)
		{
			mvw[i]=min<int>(mvw[i-1],v[i]-w[i]);
		}
		for(int k=1,i=n;k<=n;k++)
		{
			while(i>1&&mvw[i-1]+q.sumIfInsert(v[i])<=mvw[i]+q.sumIfInsert(inf))
				q.insert(v[i--]);
			// cout<<"k="<<k<<" : i="<<i<<endl;
			cout<<mvw[i]+q.sumIfInsert(inf)<<" ";
			while(n-i<k)
				q.insert(v[i--]);
			q.addK();
		}
		cout<<'\n';
		clear();
	}
}

Details

Tip: Click on the bar to expand more detailed information

Test #1:

score: 100
Accepted
time: 1ms
memory: 5716kb

input:

5
10 14
17 37 59 65 53 73 68 177 160 111
10 177
5 193
2 30
3 63
2 339
3 263
5 178
2 190
9 23
10 328
10 200
9 8
3 391
6 230
12 9
152 306 86 88 324 59 18 14 42 260 304 55
3 50
2 170
1 252
7 811
1 713
7 215
10 201
4 926
8 319
19 20
182 74 180 201 326 243 195 31 170 263 284 233 48 166 272 281 179 116 31...

output:

-2596 -2559 -2506 -2447 -2382 -2314 -2241 -2130 -1970 -1793 
-3505 -3491 -3473 -3431 -3376 -3317 -3231 -3143 -2883 -2579 -2273 -1949 
-6527 -6496 -6448 -6374 -6258 -6092 -5922 -5743 -5563 -5368 -5167 -4934 -4691 -4428 -4156 -3875 -3591 -3272 -2946 
-3219 -2987 -2572 -2140 -1707 -1238 -768 -274 243 1...

result:

ok 70 numbers

Test #2:

score: 0
Accepted
time: 0ms
memory: 7760kb

input:

2
5 2
1 2 3 4 5
3 1
4 2
7 3
4 3 1 10 3 8 6
4 9
3 8
4 5

output:

-2 0 3 7 12 
-21 -18 -15 -11 -5 3 13 

result:

ok 12 numbers

Test #3:

score: -100
Wrong Answer
time: 1ms
memory: 5704kb

input:

8
1 0
72916
9 11
130289 240521 653024 625847 679075 529899 486802 540872 353600
2 5400
2 257841
6 48161
3 71484
9 156788
3 181910
4 45589
6 210869
5 70426
9 87059
5 115764
8 7
634608 412120 360938 425426 825551 138578 678304 747502
2 235317
4 281859
5 553042
8 295615
8 32014
8 755313
4 439284
19 10
...

output:

0 
-1121002 -880481 -526881 -40079 489820 1030692 1656539 2309563 2988638 
-2180324 -2041746 -1680808 -1255382 -620774 57530 805032 1630583 
-1025384 -1022941 -1018403 -1013731 -1006580 -998875 -987675 -970496 -953098 -932654 -909692 -886331 -862054 -835158 -807901 -779123 -747157 -713222 -679281 
-...

result:

wrong answer 1st numbers differ - expected: '72916', found: '0'