Simon has an array a1, a2, ..., an, consisting of n positive integers. Today Simon asked you to find a pair of integers l, r(1 ≤ l ≤ r ≤ n), such that the following conditions hold:
- there is integer j (l ≤ j ≤ r), such that all integers al, al + 1, ..., ar are divisible by aj;
- value r - l takes the maximum value among all pairs for which condition 1 is true;
Help Simon, find the required pair of numbers (l, r). If there are multiple required pairs find all of them.
The first line contains integer n (1 ≤ n ≤ 3·105).
The second line contains n space-separated integers a1, a2, ..., an (1 ≤ ai ≤ 106).
Print two integers in the first line — the number of required pairs and the maximum value of r - l. On the following line print all l values from optimal pairs in increasing order.
5 4 6 9 3 6
1 3 2
5 1 3 5 7 9
1 4 1
5 2 3 5 7 11
5 0 1 2 3 4 5
In the first sample the pair of numbers is right, as numbers 6, 9, 3 are divisible by 3.
In the second sample all numbers are divisible by number 1.
In the third sample all numbers are prime, so conditions 1 and 2 are true only for pairs of numbers (1, 1), (2, 2), (3, 3), (4, 4), (5, 5).
恶心的题:需要注意去重
题意:一个区间l,r,纯在一个x (l<=x<=r)使得整个区间的数都可以整除a[x]),求r-l最大的情况,如有多组,按l小的输出
#include<iostream>
#include<cstdio>
#include<cstring>
#include<algorithm>
#include<cmath>
#include<queue>
#include<stack>
#include<vector>
#include<set>
#include<map>
#define L(x) (x<<1)
#define R(x) (x<<1|1)
#define MID(x,y) ((x+y)>>1)
#define pii pair<int,int>
#define eps 1e-8
#define fre(i,a,b) for(i = a; i < b; i++)
#define free(i,b,a) for(i = b; i >= a;i--)
#define mem(t, v) memset ((t) , v, sizeof(t))
#define ssf(n) scanf("%s", n)
#define sf(n) scanf("%d", &n)
#define sff(a,b) scanf("%d %d", &a, &b)
#define sfff(a,b,c) scanf("%d %d %d", &a, &b, &c)
#define pf printf
#define bug pf("Hi\n")
using namespace std;
#define INF 0x3f3f3f3f
#define N 1000000
vector<pii>ans;
int a[N],le[N],ri[N];
int vis[N];
int n;
int main()
{
int i,j;
while(~sf(n))
{
fre(i,1,n+1)
sf(a[i]);
for(i=1;i<=n;i++)
{
le[i]=i;
while(le[i]>1&&a[le[i]-1]%a[i]==0)
le[i]=le[le[i]-1];
}
for(i=n;i>=1;i--)
{
ri[i]=i;
while(ri[i]<n&&a[ri[i]+1]%a[i]==0)
ri[i]=ri[ri[i]+1];
}
ans.clear();
for(i=1;i<=n;i++)
{
int temp=ri[i]-le[i];
if(ans.size()==0)
{
ans.push_back(make_pair(le[i],ri[i]-le[i]));
continue;
}
if(temp>ans[0].second)
{
ans.clear();
ans.push_back(make_pair(le[i],ri[i]-le[i]));
continue;
}
if(temp==ans[0].second)
{
ans.push_back(make_pair(le[i],ri[i]-le[i]));
}
}
int all=0;
int pre=-1;
for(i=0;i<ans.size();i++)
if(ans[i].first!=pre)
{
all++;
pre=ans[i].first;
}
pf("%d %d\n",all,ans[0].second);
pre=-1;
int i=0;
for(i=0;i<ans.size();i++)
{
if(ans[i].first==pre) continue; //防止有多个数相同,那么区间都是一个,需要去重
pre=ans[i].first;
if(i) pf(" ");
pf("%d",pre);
}
pf("\n");
}
return 0;
}
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