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  • Equal Sums

    You are given kk sequences of integers. The length of the ii-th sequence equals to nini.

    You have to choose exactly two sequences ii and jj (iji≠j) such that you can remove exactly one element in each of them in such a way that the sum of the changed sequence ii (its length will be equal to ni1ni−1) equals to the sum of the changed sequence jj (its length will be equal to nj1nj−1).

    Note that it's required to remove exactly one element in each of the two chosen sequences.

    Assume that the sum of the empty (of the length equals 00) sequence is 00.

    Input

    The first line contains an integer kk (2k21052≤k≤2⋅105) — the number of sequences.

    Then kk pairs of lines follow, each pair containing a sequence.

    The first line in the ii-th pair contains one integer nini (1ni<21051≤ni<2⋅105) — the length of the ii-th sequence. The second line of the ii-th pair contains a sequence of nini integers ai,1,ai,2,,ai,niai,1,ai,2,…,ai,ni.

    The elements of sequences are integer numbers from 104−104 to 104104.

    The sum of lengths of all given sequences don't exceed 21052⋅105, i.e. n1+n2++nk2105n1+n2+⋯+nk≤2⋅105.

    Output

    If it is impossible to choose two sequences such that they satisfy given conditions, print "NO" (without quotes). Otherwise in the first line print "YES" (without quotes), in the second line — two integers ii, xx (1ik,1xni1≤i≤k,1≤x≤ni), in the third line — two integers jj, yy (1jk,1ynj1≤j≤k,1≤y≤nj). It means that the sum of the elements of the ii-th sequence without the element with index xx equals to the sum of the elements of the jj-th sequence without the element with index yy.

    Two chosen sequences must be distinct, i.e. iji≠j. You can print them in any order.

    If there are multiple possible answers, print any of them.

    Examples
    input
    Copy
    2
    5
    2 3 1 3 2
    6
    1 1 2 2 2 1
    output
    Copy
    YES
    2 6
    1 2
    input
    Copy
    3
    1
    5
    5
    1 1 1 1 1
    2
    2 3
    output
    Copy
    NO
    input
    Copy
    4
    6
    2 2 2 2 2 2
    5
    2 2 2 2 2
    3
    2 2 2
    5
    2 2 2 2 2
    output
    Copy
    YES
    2 2
    4 1
    Note

    In the first example there are two sequences [2,3,1,3,2][2,3,1,3,2] and [1,1,2,2,2,1][1,1,2,2,2,1]. You can remove the second element from the first sequence to get [2,1,3,2][2,1,3,2] and you can remove the sixth element from the second sequence to get [1,1,2,2,2][1,1,2,2,2]. The sums of the both resulting sequences equal to 88, i.e. the sums are equal.

    学习了一发map和pair的用法。

    由于我们是要求 sum[i1]-a[i1][j1]=sum[i2]-a[i2][j2]。

    可以用map来保存每个sum[i1]-a[i1][j1].然后用pair记录i,j。

    #include <bits/stdc++.h>
    #define maxn 200005
    using namespace std;
    typedef long long ll;
    map < int,pair<int,int> > mp;
    int main()
    {
       int n,i,j,m;
       scanf("%d",&n);
       for(i=1;i<=n;i++)
       {
           int sum=0;
           int a[maxn]={0};
           scanf("%d",&m);
           for(j=1;j<=m;j++)
           {
               scanf("%d",&a[j]);
               sum+=a[j];
           }
           for(j=1;j<=m;j++)
           {
               if(mp.count(sum-a[j]))
               {
                   printf("YES
    ");
                   printf("%d %d
    ",i,j);
                   printf("%d %d
    ",mp[sum-a[j]].first,mp[sum-a[j]].second);
                   return 0;
               }
           }
           for(j=1;j<=m;j++)
           {
               mp[sum-a[j]]=make_pair(i,j);
           }
       }
       printf("NO
    ");
        return 0;
    }
    

      

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  • 原文地址:https://www.cnblogs.com/zyf3855923/p/9126041.html
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