CF 988C Equal Sums 思维 第九题 map

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.$

$题意：\; 给你k个数列（2<=k<=2*10^5），每个数列长度是n(n<=2*10^5)，所有序列的总长度小于等于2*10^5，问是否有两个序列去掉序列其中一个值后两个序列序列和相等$

$用一个map存下每个序列去掉其中一个值后的剩余值及其的位置$

$然后遍历每个序列，看有没有一个序列去掉一个值后的剩余值被map记录，若有则输出这个值的位置及遍历到的值的位置，没有输出NO$

#include <map>
#include <set>
#include <cmath>
#include <queue>
#include <cstdio>
#include <vector>
#include <string>
#include <cstring>
#include <iostream>
#include <algorithm>
#define debug(a) cout << #a << " " << a << endl
using namespace std;
const int maxn = 1e6 + 10;
const int mod = 1e9 + 7;
typedef long long ll;
ll a[maxn];
int main(){
    std::ios::sync_with_stdio(false);
    ll T;
    while( cin >> T ) {
        ll flag = false;
        map< ll, pair< ll, ll > > mm;
        for( ll i = 1; i <= T; i ++ ) {
            ll n, sum = 0, t;
            cin >> n;
            for( ll j = 1; j <= n; j ++ ) {
                cin >> a[j];
                sum += a[j];
            }
            for( ll j = 1; j <= n; j ++ ) {
                t = sum - a[j];
                if( mm.count(t) && !flag && mm[t].first != i ) {
                    cout << "YES" << endl;
                    cout << i << " " << j << endl;
                    cout << mm[t].first << " " << mm[t].second << endl;
                    flag = true;
                }
                mm[t] = make_pair( i, j );
            }
        }
        if( !flag ) {
            cout << "NO" << endl;
        }
    }
    return 0;
}

 

转载于:https://www.cnblogs.com/l609929321/p/9220742.html