ZOJ-3725 Painting Storages DP

　　题目链接：http://acm.zju.edu.cn/onlinejudge/showProblem.do?problemCode=3725

　　n个点排列，给每个点着色，求其中至少有m个红色的点连续的数目。f[i]表示前i个点至少有m个连续红色的个数，则f[i]=f[i-1]*2+2^(i-m-1)-f[i-m-1]。

 //STATUS:C++_AC_120MS_1784KB
 #include <functional>
 #include <algorithm>
 #include <iostream>
 //#include <ext/rope>
 #include <fstream>
 #include <sstream>
 #include <iomanip>
 #include <numeric>
 #include <cstring>
 #include <cassert>
 #include <cstdio>
 #include <string>
 #include <vector>
 #include <bitset>
 #include <queue>
 #include <stack>
 #include <cmath>
 #include <ctime>
 #include <list>
 #include <set>
 #include <map>
 using namespace std;
 //using namespace __gnu_cxx;
 //define
 #define pii pair<int,int>
 #define mem(a,b) memset(a,b,sizeof(a))
 #define lson l,mid,rt<<1
 #define rson mid+1,r,rt<<1|1
 #define PI acos(-1.0)
 //typedef
 typedef long long LL;
 typedef unsigned long long ULL;
 //const
 const int N=;
 const int INF=0x3f3f3f3f;
 const int MOD=,STA=;
 const LL LNF=1LL<<;
 const double EPS=1e-;
 const double OO=1e15;
 const int dx[]={-,,,};
 const int dy[]={,,,-};
 const int day[]={,,,,,,,,,,,,};
 //Daily Use ...
 inline int sign(double x){return (x>EPS)-(x<-EPS);}
 template<class T> T gcd(T a,T b){return b?gcd(b,a%b):a;}
 template<class T> T lcm(T a,T b){return a/gcd(a,b)*b;}
 template<class T> inline T lcm(T a,T b,T d){return a/d*b;}
 template<class T> inline T Min(T a,T b){return a<b?a:b;}
 template<class T> inline T Max(T a,T b){return a>b?a:b;}
 template<class T> inline T Min(T a,T b,T c){return min(min(a, b),c);}
 template<class T> inline T Max(T a,T b,T c){return max(max(a, b),c);}
 template<class T> inline T Min(T a,T b,T c,T d){return min(min(a, b),min(c,d));}
 template<class T> inline T Max(T a,T b,T c,T d){return max(max(a, b),max(c,d));}
 //End

 LL f[N],b[N];
 int n,m;

 int main()
 {
  //   freopen("in.txt","r",stdin);
     int i,j,k;
     b[]=;
     for(i=;i<N;i++)b[i]=*b[i-]%MOD;
     while(~scanf("%d%d",&n,&m))
     {
         for(i=;i<m;i++)f[i]=;
         f[m]=,f[m+]=;
         for(i=m+;i<=n;i++){
             f[i]=(*f[i-]+b[i-m-]-f[i-m-])%MOD;
         }
         printf("%lld\n",(f[n]+MOD)%MOD);
     }
     return ;
 }