A-a Simple Math problem

Description

Lele now was thinking about a simple function f (x).

If x < f (x) = x.
If x >= f (x) = a0 * F (X-1) + A1 * F (x-2) + A2 * F (x-3) + ... + A9 * F (x-10);
and AI (0<=i<=9) can only be 0 or 1.

Now, I'll give A0 ~ A9 and positive integers k and M, and could you help Lele to Caculate f (k)%m.

Input

The problem contains mutiple test cases. Please process to the end of file.
In each case, there'll be is the lines.
In the first line, there is, positive integers k and M. (K<2*10^9, M < 10^5)
In the second line, there is ten integers represent A0 ~ A9.

Output

For each case, output f (k)% m in one line.

Sample Input

10 9999 1 1 1 1 1 1 1 1 1 1 20 500 1 0 1 0 1 0 1 0 1 0

Sample Output

45 104

Describe

Lele is now considering a simple function f (x).

If x < ten f (x) = x.
if x > = ten f (x) = a0 * F (X-1) + A1 * F (2) + A2 * F (x 3) +......+ A9 * F (10 times times);
and artificial Intelligence (0 < = i < = 9) can only be 0 or 1.

Now, I'm going to give A0 ~ A9 and two positive integers k and M, and you can help lele all walks of Life f (k)%.

Input

This problem contains a variety of test cases. Please process the file.
In each case, there will be two lines.
In the first row, there are two positive integers k and M. (K < 2 * Ten ^ 9,m < 10 ^ 5)
On the second line, there are 10 integers representing A0 ~ A9.

Output

In each case, the output f (k)% m is on one line.

Sample input

9999 1 1 1 1 1 1 1 1 1 1 500 1 0 1 0 1 0 1 0 1 0

Sample output

45 104 years The problem is very simple, will not do is the SB;

#include<cstdio>#include<cstring>UsingNamespace Std;LongLong A[20],mNB[20];voidF(){LongLong S1[14][14],s2[14][14],s3[14][14],sum=0;LongLong IJK;For(I=0; I<=9; I++)For(j=0; j<=9; j++){If(j==9){S1[I][9]=a[9-I.]; S2[I][9]=a[9-I.];}ElseIf(I==j+1){S1[I][j]=1; S2[I][j]=1;}Else{S1[I][j]=0; S2[I][j]=0;}} m-=10;While(M){If(M&1){Memset(S3,0,sizeof(S3));For(I=0; I<=9; I++)For(j=0; j<=9; j++)For(k=0; k<=9; k+ +) S3[I][j]+= (S1[I][k]*s2[k][j])%n;For(I=0; I<=9; I++)For(j=0; j<=9; j+ +) s2[I][j]=s3[I][j];}Memset(S3,0,sizeof(S3));For(I=0; I<=9; I++)For(j=0; j<=9; j++)For(k=0; k<=9; k+ +) S3[I][j]+= (S1[I][k]*s1[k][j])%n;For(I=0; I<=9; I++)For(j=0; j<=9; j+ +) S1[I][j]=s3[I][j]; M>>=1;}For(I=0; I<=9; I+ +) sum= ((b[I]*s2[I][9])%n+sum)%n;Printf("%lld\ n", Sum);}IntMain(){LongLong IJ;While(~scanf("%lld%lld", &m, &n)){If(M==0&&n==0)Break;For(I=0; I<10; I++)scanf("%lld", &a[I]);For(I=0; I<10;i++) b< Span class= "Sh-symbol" >[i]=i%n if  (M<10printf (\n ",m%nelse f ();  return 0;< Span class= "Sh-cbracket" >              

A-a Simple Math problem