Codeforces Round #486 (Div. 3)-C. Equal Sums

C. Equal Sums

time limit per test

2 seconds

memory limit per test

256 megabytes

input

standard input

output

standard output

You are given $\mathrm{kk sequences\; of\; integers.\; The\; length\; of\; the ii-th\; sequence\; equals\; to nini.}$

You have to choose exactly two sequences $\mathrm{ii and jj (i\ne ji\ne j)\; such\; that\; you\; can\; remove\; exactly\; one\; element\; in\; each\; of\; them\; in\; such\; a\; way\; that\; the\; sum\; of\; the\; changed\; sequence ii (its\; length\; will\; be\; equal\; to ni-1ni-1)\; equals\; to\; the\; sum\; of\; the\; changed\; sequence jj (its\; length\; will\; be\; equal\; to nj-1nj-1).}$

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 $\mathrm{00)\; sequence\; is 00.}$

Input

The first line contains an integer $\mathrm{kk (2\le k\le 2\cdot 1052\le k\le 2\cdot 105)\; —\; the\; number\; of\; sequences.}$

Then $\mathrm{kk pairs\; of\; lines\; follow,\; each\; pair\; containing\; a\; sequence.}$

The first line in the $\mathrm{ii-th\; pair\; contains\; one\; integer nini (1\le ni<2\cdot 1051\le ni<2\cdot 105)\; —\; the\; length\; of\; the ii-th\; sequence.\; The\; second\; line\; of\; the ii-th\; pair\; contains\; a\; sequence\; of nini integers ai,1,ai,2,\dots ,ai,niai,1,ai,2,\dots ,ai,ni.}$

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

The sum of lengths of all given sequences don't exceed $\mathrm{2\cdot 1052\cdot 105,\; i.e. n1+n2+\cdots +nk\le 2\cdot 105n1+n2+\cdots +nk\le 2\cdot 105.}$

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 $\mathrm{ii, xx (1\le i\le k,1\le x\le ni1\le i\le k,1\le x\le ni),\; in\; the\; third\; line\; —\; two\; integers jj, yy (1\le j\le k,1\le y\le nj1\le j\le k,1\le y\le nj).\; It\; means\; that\; the\; sum\; of\; the\; elements\; of\; the ii-th\; sequence\; without\; the\; element\; with\; index xx equals\; to\; the\; sum\; of\; the\; elements\; of\; the jj-th\; sequence\; without\; the\; element\; with\; index yy.}$

Two chosen sequences must be distinct, i.e. $\mathrm{i\ne ji\ne j.\; You\; can\; print\; them\; in\; any\; order.}$

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

思路：好吧，这道题还是比较水的（原谅我的菜），本题的题意大概就是给N个序列，问里面是否有两个序列，在这两个序列中去掉其中一个数后他们的和相同。当时自己以想。。。WC序列这么多，怎么办？？？要是按照每个序列存下每一种可能map绝对炸啊。后来经过大佬指点，其实这个题并不难，原因就是我只需要找到一组即可，并且我考虑的是：和去掉一个元素的数值，我可以在每个序列输入完以后得到和，再循环一次得到减去一个元素的集合，然后保存每一种可能，并把它所在的序列号，和位置都存下来即可。然后后面的循环中判断是否出现过这个数字。出现过就不循环进行以上操作，直接把剩余数输入即可，然后输出这种情况，要注意有可能在自己序列中出现和自己相同的情况，需要舍去。

实现：由于值有可能为负数，因此判断这个值是否存在，可以用一个map映射即可，对于存这个数值所在的行和列，由于数值的行和列，可以结构体数组或者二维map即可

 1 #include<iostream>
 2 #include<stdio.h>
 3 #include<string.h>
 4 #include<map>
 5 using namespace std;
 6 const int maxx=200005;
 7 map<int,map<int,int> >p;//存这个数值对应所在的序列和序列中的位置
 8 map<int,int>vis;//是否前面有和这个数值一样的数
 9 int main()
10 {
11     int k,n,sum;
12     int a[maxx];
13     while(~scanf("%d",&k))
14     {
15         sum=0;
16         int flag=0;
17         vis.clear();
18         int ans11,ans12,ans21,ans22;
19         for(int i=1;i<=k;i++)
20         {
21             scanf("%d",&n);
22             sum=0;
23             for (int j=1; j<=n; j++)
24             {
25                 scanf("%d",&a[j]);
26                 sum+=a[j];
27             }
28             if (flag)continue;//如果已经找到这组数值就不进行下次操作
29             for(int j=1;j<=n;j++)
30             {
31                 int tmp=sum-a[j];
32                 if (vis[tmp]==0 || p[tmp][1]==i)//如果这个值没有存在过 或者 这个值相同的出现在同一个序列中
33                 {
34                     vis[tmp]=1;
35                     p[tmp][1]=i;
36                     p[tmp][2]=j;
37                 }
38                 else//存在所在序列和位置
39                 {
40                     flag=1;
41                     ans11=p[tmp][1];
42                     ans12=p[tmp][2];
43                     ans21=i;
44                     ans22=j;
45                 }
46             }
47         }
48         if (flag==0)printf("NO\n");
49         else
50         {
51             printf("YES\n");
52             printf("%d %d\n",ans11,ans12);
53             printf("%d %d\n",ans21,ans22);
54         }
55     }
56     return 0;
57 }