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  • Codeforces Round #394 (Div. 2) D. Dasha and Very Difficult Problem 贪心

    D. Dasha and Very Difficult Problem

    题目连接:

    http://codeforces.com/contest/761/problem/D

    Description

    Dasha logged into the system and began to solve problems. One of them is as follows:

    Given two sequences a and b of length n each you need to write a sequence c of length n, the i-th element of which is calculated as follows: ci = bi - ai.

    About sequences a and b we know that their elements are in the range from l to r. More formally, elements satisfy the following conditions: l ≤ ai ≤ r and l ≤ bi ≤ r. About sequence c we know that all its elements are distinct.

    Dasha wrote a solution to that problem quickly, but checking her work on the standard test was not so easy. Due to an error in the test system only the sequence a and the compressed sequence of the sequence c were known from that test.

    Let's give the definition to a compressed sequence. A compressed sequence of sequence c of length n is a sequence p of length n, so that pi equals to the number of integers which are less than or equal to ci in the sequence c. For example, for the sequence c = [250, 200, 300, 100, 50] the compressed sequence will be p = [4, 3, 5, 2, 1]. Pay attention that in c all integers are distinct. Consequently, the compressed sequence contains all integers from 1 to n inclusively.

    Help Dasha to find any sequence b for which the calculated compressed sequence of sequence c is correct.

    Input

    The first line contains three integers n, l, r (1 ≤ n ≤ 105, 1 ≤ l ≤ r ≤ 109) — the length of the sequence and boundaries of the segment where the elements of sequences a and b are.

    The next line contains n integers a1,  a2,  ...,  an (l ≤ ai ≤ r) — the elements of the sequence a.

    The next line contains n distinct integers p1,  p2,  ...,  pn (1 ≤ pi ≤ n) — the compressed sequence of the sequence c.

    Output

    If there is no the suitable sequence b, then in the only line print "-1".

    Otherwise, in the only line print n integers — the elements of any suitable sequence b.

    Sample Input

    5 1 5
    1 1 1 1 1
    3 1 5 4 2

    Sample Output

    3 1 5 4 2

    Hint

    题意

    c[i]=b[i]-a[i],现在给你a[i]和c[i]的相对大小,问你可不可能出现b[i]满足条件,如果有的话,输出。

    题解:

    贪心,最小的显然要最小,次小的在比最小大的基础上最小就好了。

    对于每一个数都二分一下就完了。

    代码

    #include<bits/stdc++.h>
    using namespace std;
    const int maxn = 1e5+7;
    long long l,r,a[maxn],b[maxn],c[maxn];
    priority_queue<pair<int,int> >S;
    int n,op[maxn];
    int main()
    {
        scanf("%d%lld%lld",&n,&l,&r);
        for(int i=0;i<n;i++){
            scanf("%lld",&a[i]);
        }
        for(int i=0;i<n;i++)
            scanf("%d",&op[i]),S.push(make_pair(op[i],i));
        long long last = -1e16;
        while(!S.empty()){
            long long now = S.top().second;
            S.pop();
            long long L=l,R=r,Ans=r+1;
            while(L<=R){
                long long mid=(L+R)/2;
                if(a[now]-mid>last){
                    L=mid+1,Ans=mid;
                }else
                    R=mid-1;
            }
            if(Ans==r+1){
                cout<<"-1"<<endl;
                return 0;
            }
            b[now]=Ans;
            last=a[now]-Ans;
        }
        for(int i=0;i<n;i++)
            cout<<b[i]<<" ";
        cout<<endl;
    }
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  • 原文地址:https://www.cnblogs.com/qscqesze/p/6359978.html
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