Codeforces Round #136 (Div. 1)C. Little Elephant and Shifts multiset

C. Little Elephant and Shifts

Time Limit: 20 Sec

Memory Limit: 256 MB

题目连接

http://codeforces.com/problemset/problem/220/C

Description

The Little Elephant has two permutations a and b of length n, consisting of numbers from 1 to n, inclusive. Let's denote the i-th (1 ≤ i ≤ n) element of the permutation a as ai, the j-th (1 ≤ j ≤ n) element of the permutation b — as bj.

The distance between permutations a and b is the minimum absolute value of the difference between the positions of the occurrences of some number in a and in b. More formally, it's such minimum |i - j|, that ai = bj.

A cyclic shift number i (1 ≤ i ≤ n) of permutation b consisting from n elements is a permutation bibi + 1... bnb1b2... bi - 1. Overall a permutation has n cyclic shifts.

The Little Elephant wonders, for all cyclic shifts of permutation b, what is the distance between the cyclic shift and permutation a?

Input

The first line contains a single integer n (1 ≤ n ≤ 105) — the size of the permutations. The second line contains permutation a as n distinct numbers from 1 to n, inclusive. The numbers are separated with single spaces. The third line contains permutation b in the same format.

Output

In n lines print n integers — the answers for cyclic shifts. Print the answers to the shifts in the order of the shifts' numeration in permutation b, that is, first for the 1-st cyclic shift, then for the 2-nd, and so on.

Sample Input

2
1 2
2 1

Sample Output

1
0

HINT

题意

给你一个a数组，一个b数组

都只含1-n

俩数组的距离定义为，if(a[i]==b[j])dis=min(dis,abs(j-i))

然后对于每一个b的排列，让你输出距离

题解：

用multiset模拟一下就好了

对了，如果用multiset.erase(iterator)这样是只会删除一个的

如果multiset.erase(x)，x是一个number的话，这样会把等于x的都删除

代码

#include <cstdio>
#include <cmath>
#include <cstring>
#include <ctime>
#include <iostream>
#include <algorithm>
#include <set>
#include <vector>
#include <sstream>
#include <queue>
#include <typeinfo>
#include <fstream>
#include <map>
#include <stack>
typedef long long ll;
using namespace std;
//freopen("D.in","r",stdin);
//freopen("D.out","w",stdout);
#define sspeed ios_base::sync_with_stdio(0);cin.tie(0)
#define test freopen("test.txt","r",stdin)
#define maxn 1050005
#define mod 10007
#define eps 1e-9
const int inf=0x3f3f3f3f;
const ll infll = 0x3f3f3f3f3f3f3f3fLL;
inline ll read()
{
    ll x=,f=;char ch=getchar();
    while(ch<''||ch>''){if(ch=='-')f=-;ch=getchar();}
    while(ch>=''&&ch<=''){x=x*+ch-'';ch=getchar();}
    return x*f;
}
//**************************************************************************************

int a[maxn];
int b[maxn];
multiset<int> s;
multiset<int>::iterator it;
int ans;
int main()
{
    int n=read();
    for(int i=;i<n;i++)
    {
        int x=read();
        a[x]=i;
    }
    for(int i=;i<n;i++)
    {
        b[i]=read();
        s.insert(i-a[b[i]]);
    }
    for(int i=;i<n;i++)
    {
        ans=inf;
        it=s.lower_bound(i);
        if(it!=s.end())
            ans=min(ans,*it-i);
        if(it!=s.begin())
            ans=min(ans,i-*(--it));
        printf("%d\n",ans);
        it=s.find(i-a[b[i]]);
        s.erase(it);
        s.insert(i-a[b[i]]+n);
    }
}