Problem Killer
Time Limit: 2000/1000 MS (Java/Others) Memory Limit: 65536/65536 K (Java/Others)
Total Submission(s): 1535 Accepted Submission(s): 576
Problem Description
You are a "Problem Killer", you want to solve many problems.
Now you have n
problems, the i-th
problem‘s difficulty is represented by an integer
ai
(1≤ai≤109).
For some strange reason, you must choose some integer
l
and r
(1≤l≤r≤n),
and solve the problems between the l-th
and the r-th,
and these problems‘ difficulties must form an AP (Arithmetic Progression) or a GP (Geometric Progression).
So how many problems can you solve at most?
You can find the definitions of AP and GP by the following links:
https://en.wikipedia.org/wiki/Arithmetic_progression
https://en.wikipedia.org/wiki/Geometric_progression
Input
The first line contains a single integer
T,
indicating the number of cases.
For each test case, the first line contains a single integer
n,
the second line contains n
integers a1,a2,?,an.
T≤104,∑n≤106
Output
For each test case, output one line with a single integer, representing the answer.
Sample Input
2 5 1 2 3 4 6 10 1 1 1 1 1 1 2 3 4 5
Sample Output
4 6
Author
XJZX
Source
2015 Multi-University Training Contest 4
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暴力
#include<cstdio> #include<cstring> #include<cstdlib> #include<algorithm> #include<functional> #include<iostream> #include<cmath> #include<cctype> #include<ctime> using namespace std; #define For(i,n) for(int i=1;i<=n;i++) #define Fork(i,k,n) for(int i=k;i<=n;i++) #define Rep(i,n) for(int i=0;i<n;i++) #define ForD(i,n) for(int i=n;i;i--) #define RepD(i,n) for(int i=n;i>=0;i--) #define Forp(x) for(int p=pre[x];p;p=next[p]) #define Forpiter(x) for(int &p=iter[x];p;p=next[p]) #define Lson (x<<1) #define Rson ((x<<1)+1) #define MEM(a) memset(a,0,sizeof(a)); #define MEMI(a) memset(a,127,sizeof(a)); #define MEMi(a) memset(a,128,sizeof(a)); #define INF (2139062143) #define F (100000007) #define MAXN (1000000+10) typedef long long ll; ll mul(ll a,ll b){return (a*b)%F;} ll add(ll a,ll b){return (a+b)%F;} ll sub(ll a,ll b){return (a-b+llabs(a-b)/F*F+F)%F;} void upd(ll &a,ll b){a=(a%F+b%F)%F;} int a[MAXN],b[MAXN]; double c[MAXN]; int main() { // freopen("B.in","r",stdin); int n,T; cin>>T; while (T--) { cin>>n; For(i,n) scanf("%d",&a[i]); int ans=min(2,n); For(i,n-1) b[i]=a[i]-a[i+1]; int p=2; Fork(i,2,n-1) if (b[i]==b[i-1]) ans=max(ans,++p);else p=2; For(i,n-1) c[i]=(double)a[i]/(double)a[i+1]; p=2; Fork(i,2,n-1) if (fabs(c[i]-c[i-1])<1e-8) ans=max(ans,++p); else p=2; cout<<ans<<endl; } return 0; }
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