#include using namespace std; typedef long long ll; //#define P pair #define FOR(I,A,B) for(ll I = ll(A); I < ll(B); ++I) #define FORR(I,A,B) for(ll I = ll((B)-1); I >= ll(A); --I) #define TO(x,t,f) ((x)?(t):(f)) #define SORT(x) (sort(x.begin(),x.end())) // 0 2 2 3 4 5 8 9 #define POSL(x,v) (lower_bound(x.begin(),x.end(),v)-x.begin()) //xi>=v x is sorted #define POSU(x,v) (upper_bound(x.begin(),x.end(),v)-x.begin()) //xi>v x is sorted #define NUM(x,v) (POSU(x,v)-POSL(x,v)) //x is sorted #define REV(x) (reverse(x.begin(),x.end())) //reverse ll gcd(ll a,ll b){if(a%b==0)return b;return gcd(b,a%b);} ll lcm(ll a,ll b){ll c=gcd(a,b);return ((a/c)*(b/c)*c);} #define NEXTP(x) next_permutation(x.begin(),x.end()) const ll INF=ll(1e16)+ll(7); const ll MOD=1000000007LL; #define out(a) cout< > pow_(vector> A,ll k){ vector< vector > res(M,vector(M,0)); if(k==0){ FOR(i,0,M)res[i][i] = 1; return res; } if(k==1){ return A; } auto x = pow_(A,k/2); FOR(i,0,M){ FOR(j,0,M){ FOR(m,0,M){ (res[i][j] += x[i][m]*x[m][j]) %=MOD; } } } if(k&1){ FOR(i,0,M)FOR(j,0,M)x[i][j] = 0; FOR(i,0,M){ FOR(j,0,M){ FOR(m,0,M){ (x[i][j] += res[i][m]*B[m][j]) %=MOD; } } } return x; } return res; } int main(){ ll K; cin >> M >> K; FOR(i,0,M){ FOR(j,0,M){ cnt[i][(i*j)%M]++; cnt[i][(i+j)%M]++; } } vector< vector > A(M,vector(M,0)); FOR(i,0,M)FOR(j,0,M){ A[i][j] = cnt[j][i]; B[i][j] = cnt[j][i]; } auto ans = pow_(A,K); cout << ans[0][0] << endl; }