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Codeforces Round #269 (Div. 2) D - MUH and Cube Walls kmp

D - MUH and Cube Walls
Time Limit:2000MS     Memory Limit:262144KB     64bit IO Format:%I64d & %I64u
Submit Status Practice CodeForces 471D

Description

Polar bears Menshykov and Uslada from the zoo of St. Petersburg and elephant Horace from the zoo of Kiev got hold of lots of wooden cubes somewhere. They started making cube towers by placing the cubes one on top of the other. They defined multiple towers standing in a line as a wall. A wall can consist of towers of different heights.

Horace was the first to finish making his wall. He called his wall an elephant. The wall consists of w towers. The bears also finished making their wall but they didn‘t give it a name. Their wall consists of n towers. Horace looked at the bears‘ tower and wondered: in how many parts of the wall can he "see an elephant"? He can "see an elephant" on a segment of w contiguous towers if the heights of the towers on the segment match as a sequence the heights of the towers in Horace‘s wall. In order to see as many elephants as possible, Horace can raise and lower his wall. He even can lower the wall below the ground level (see the pictures to the samples for clarification).

Your task is to count the number of segments where Horace can "see an elephant".

Input

The first line contains two integers n and w (1 ≤ n, w ≤ 2·105) — the number of towers in the bears‘ and the elephant‘s walls correspondingly. The second line contains n integers ai (1 ≤ ai ≤ 109) — the heights of the towers in the bears‘ wall. The third line contains w integers bi (1 ≤ bi ≤ 109) — the heights of the towers in the elephant‘s wall.

Output

Print the number of segments in the bears‘ wall where Horace can "see an elephant".

Sample Input

Input
13 5
2 4 5 5 4 3 2 2 2 3 3 2 1
3 4 4 3 2
Output
2

Hint

The picture to the left shows Horace‘s wall from the sample, the picture to the right shows the bears‘ wall. The segments where Horace can "see an elephant" are in gray.

 

 

第一个kmp。。。。

 

  1 #include<iostream>  2 #include<cstring>  3 #include<cstdlib>  4 #include<cstdio>  5 #include<algorithm>  6 #include<cmath>  7 #include<queue>  8 #include<map>  9 #include<string> 10  11 #define N 200005 12 #define M 15 13 #define mod 10000007 14 //#define p 10000007 15 #define mod2 100000000 16 #define ll long long 17 #define LL long long 18 #define maxi(a,b) (a)>(b)? (a) : (b) 19 #define mini(a,b) (a)<(b)? (a) : (b) 20  21 using namespace std; 22  23 int T; 24 int n; 25 int w; 26 int a[N],b[N]; 27 int c[N],d[N]; 28 int next[N]; 29 int ans; 30  31 void get_next() 32 { 33     int i = 1, j = 0; 34     next[1] = 0; 35     while(i <=w-2) 36     { 37         if(j == 0 || d[i] == d[j]) 38         { 39             j++; 40             i++; 41             next[i] = j; 42         } 43         else 44             j = next[j]; 45     } 46    // for(i=1;i<=w-1;i++){ 47    //     printf(" i=%d d=%d next=%d\n",i,d[i],next[i]); 48    // } 49 } 50  51 void ini() 52 { 53     int i; 54     ans=0; 55     for(i=1;i<=n;i++){ 56         scanf("%d",&a[i]); 57     } 58     for(i=1;i<=n-1;i++){ 59         c[i]=a[i+1]-a[i]; 60     } 61    // for(i=1;i<=n-1;i++){ 62     //    printf(" %d",c[i]); 63    // } 64     for(i=1;i<=w;i++){ 65         scanf("%d",&b[i]); 66     } 67     for(i=1;i<=w-1;i++){ 68         d[i]=b[i+1]-b[i]; 69     } 70 } 71  72  73 void solve() 74 { 75     int i,j; 76  //   printf(" 1221\n"); 77     if(w==1){ 78         ans=n; 79         return ; 80     } 81     i=1,j=1; 82     while(i<=n-1){ 83       //  printf(" i=%d j=%d ans=%d\n",i,j,ans); 84         if(j==0 || c[i]==d[j]){ 85             if(j==w-1){ 86                 ans++; 87                 //i++; 88                 j=next[j]; 89             } 90             else{ 91                i++; 92                j++; 93             } 94         } 95         else{ 96             j=next[j]; 97         } 98     } 99 }100 101 void out()102 {103     printf("%d\n",ans);104 }105 106 int main()107 {108     //freopen("data.in","r",stdin);109     //freopen("data.out","w",stdout);110     //scanf("%d",&T);111    // for(int ccnt=1;ccnt<=T;ccnt++)112    // while(T--)113     while(scanf("%d%d",&n,&w)!=EOF)114     {115       //  if(n==0 && m==0) break;116         //printf("Case %d: ",ccnt);117         ini();118         get_next();119         solve();120         out();121     }122 123     return 0;124 }

 

Codeforces Round #269 (Div. 2) D - MUH and Cube Walls kmp