QOJ.ac
QOJ
ID | Problem | Submitter | Result | Time | Memory | Language | File size | Submit time | Judge time |
---|---|---|---|---|---|---|---|---|---|
#432715 | #7622. Yet Another Coffee | Zxc200611# | WA | 1ms | 7760kb | C++14 | 1.9kb | 2024-06-07 15:34:57 | 2024-06-07 15:34:58 |
Judging History
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'