Codeforces Round #333 (Div. 2) B. Approximating a Constant Range

简介:
B. Approximating a Constant Range
time limit per test
2 seconds
memory limit per test
256 megabytes
input
standard input
output
standard output

When Xellos was doing a practice course in university, he once had to measure the intensity of an effect that slowly approached equilibrium. A good way to determine the equilibrium intensity would be choosing a sufficiently large number of consecutive data points that seems as constant as possible and taking their average. Of course, with the usual sizes of data, it's nothing challenging — but why not make a similar programming contest problem while we're at it?

You're given a sequence of n data points a1, ..., an. There aren't any big jumps between consecutive data points — for each 1 ≤ i < n, it's guaranteed that |ai + 1 - ai| ≤ 1.

A range [l, r] of data points is said to be almost constant if the difference between the largest and the smallest value in that range is at most 1. Formally, let M be the maximum and m the minimum value of ai for l ≤ i ≤ r; the range [l, r] is almost constant if M - m ≤ 1.

Find the length of the longest almost constant range.

Input

The first line of the input contains a single integer n (2 ≤ n ≤ 100 000) — the number of data points.

The second line contains n integers a1, a2, ..., an (1 ≤ ai ≤ 100 000).

Output

Print a single number — the maximum length of an almost constant range of the given sequence.

Sample test(s)
input
5
1 2 3 3 2
output
4
input
11
5 4 5 5 6 7 8 8 8 7 6
output
5
Note

In the first sample, the longest almost constant range is [2, 5]; its length (the number of data points in it) is 4.

In the second sample, there are three almost constant ranges of length 4[1, 4][6, 9] and [7, 10]; the only almost constant range of the maximum length 5 is [6, 10].

题目大意:

给你一串数,让你求最大的区间(最大值-最小值<=1)

解题思路:

我是用集合做的。。。

#include <iostream>
#include <cstdio>
#include <cstring>
#include <cstdlib>
#include <cmath>
#include <vector>
#include <queue>
#include <algorithm>
#include <set>
using namespace std;

#define MM(a) memset(a,0,sizeof(a))

typedef long long LL;
typedef unsigned long long ULL;
const int maxn = 1e5+5;
const int mod = 1e9+7;
const double eps = 1e-10;
const int INF = 0x3f3f3f3f;
LL gcd(LL a, LL b)
{
    if(b == 0)
        return a;
    return gcd(b, a%b);
}
multiset <int> s;
int arr[maxn];
int main()
{
    int n;
    while(cin>>n)
    {
        s.clear();
        for(int i=0; i<n; i++)
            scanf("%d",&arr[i]);
        int i , j, ret = -INF;
        i = j = 0;
        while(j < n)
        {
            s.insert(arr[j]);
            if(abs(*s.begin()-*s.rbegin()) > 1)
            {
                s.erase(s.find(arr[i]));
                i++;
            }
            ret = max(ret, int(s.size()));
            j++;
        }
        cout<<ret<<endl;
    }
    return 0;
}



目录
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