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/****************************************************************** *** Author : Shipu Ahamed (Psycho Timekiller) *** *** Problem : lightoj 1096 - nth term *** *** E-mail : shipuahamed01@gmail.com *** *** University : BUBT,Dept. of CSE *** *** Team : BUBT_Psycho *** *** My Blog : http://shipuahamed.blogspot.com *** *** Facebook : http://www.facebook.com/DeesheharaShipu *** ******************************************************************/ #include <list> #include <set> #include <map> #include <ctime> #include <stack> #include <queue> #include <cmath> #include <deque> #include <limits> #include <string> #include <cctype> #include <cstdio> #include <vector> #include <bitset> #include <numeric> #include <cassert> #include <sstream> #include <fstream> #include <cstdlib> #include <cstring> #include <utility> #include <complex> #include <iomanip> #include <iostream> #include <iterator> #include <algorithm> using namespace std; #define sc scanf #define pf printf #define ll long long #define pi 2*acos(0.0) #define ull unsigned long long #define all(v) v.begin(),v.end() #define sii(t) scanf("%d",&t) #define sll(t) scanf("%lld",&t) #define ssii(a,b) scanf("%d%d",&a,&b) #define ssll(a,b) scanf("%lld%lld",&a,&b) #define Case(no) printf("Case %d: ",++no) #define NL puts("") #define P(a) printf("%dn",a) #define PL(a) printf("%lldn",a) #define PN(a) printf("%d ",a) #define PLN(a) printf("%lld ",a) #define ff first #define se second #define pb push_back #define ST(v) sort(all(v)) #define gcd(a,b) __gcd(a,b) #define lcm(a,b) (a*(b/gcd(a,b))) #define max3(a,b,c) max(a,max(b,c)) #define min3(a,b,c) min(a,min(b,c)) #define maxall(v) *max_element(all(v)) #define minall(v) *min_element(all(v)) #define cover(a,d) memset(a,d,sizeof(a)) #define popcount(i) __builtin_popcount(i) //count one #define input freopen("in.txt","r",stdin) #define output freopen("out.txt","w",stdout) #define un(v) ST(v), (v).earse(unique(all(v)),v.end()) #define common(a,b) ST(a), ST(b), a.erase(set_intersection(all(a),all(b),a.begin()),a.end()) #define uncommon(a,b) ST(a), ST(b), a.erase(set_symmetric_difference(all(a),all(b),a.begin()),a.end()) ////============ CONSTANT ===============//// #define mx (1000000) #define inf (1<<30) //infinity value #define eps 1e-9 #define mod 10007 ////====================================//// struct Matrix { ll mat[10][10]; }; Matrix Mul(Matrix aa, Matrix bb) { Matrix ret; cover(ret.mat,0); for(int i = 0; i < 4; i ++) for(int j = 0; j < 4; j ++) { for(int k = 0; k < 4; k ++) { ret.mat[i][j] += (aa.mat[i][k]*bb.mat[k][j]); ret.mat[i][j] %= mod; } } return ret; } Matrix exp(Matrix a, ll b) { if(b == 1) return a; if(b&1) { return Mul(a, exp(a,b-1)); } else { Matrix tmp = exp(a,b/2); return Mul(tmp,tmp); } } int main() { int t,no=0; sii(t); while(t--) { ll n,a,b,c; ssll(n,a),ssll(b,c); if(n<=2) {Case(no),puts("0"); continue;} Matrix base,knw; base.mat[0][0]=0; base.mat[0][1]=0; base.mat[0][2]=b; base.mat[0][3]=0; base.mat[1][0]=1; base.mat[1][1]=0; base.mat[1][2]=0; base.mat[1][3]=0; base.mat[2][0]=0; base.mat[2][1]=1; base.mat[2][2]=a; base.mat[2][3]=0; base.mat[3][0]=0; base.mat[3][1]=0; base.mat[3][2]=c; base.mat[3][3]=1; knw.mat[0][0]=0;knw.mat[0][1]=0;knw.mat[0][2]=0;knw.mat[0][3]=1; Matrix res =exp(base, n-2); res=Mul(knw,res); // puts(""); // for(int i = 0; i < 4; i ++){ // PLN(res.mat[0][i]),pf(" "); // } Case(no); PL(res.mat[0][2]%mod); } return 0; } |
