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# Chef World CodeChef Solution

## Chef World CodeChef Solution in C++14

``````#include <stdio.h>

int N = 2;
long long MODO = 1000000007;
long long ** mult(long long ** a, long long ** b)
{
long long ** res = new long long*[N];
for (int i=0; i<N; i++)
{
res[i] = new long long [N];
for (int j=0; j<N; j++)
res[i][j] = 0;
}

for (int i=0; i<N; i++)
for (int j=0; j<N; j++)
{
long long sum = 0;
for (int k=0; k<N; k++)
sum += a[i][k]*1L*b[k][j];
res[i][j] = sum%MODO;
}
return res;
}

long long ** pow(long long ** a, long long exp)
{
if (exp == 1)
return a;
if ((exp%2) == 1)
return mult(a, pow(a, exp-1));
long long ** tmp = pow(a, exp/2);
return mult(tmp, tmp);
}

long long invMod = 400000003L;
long long solve(long long * fib, long long n)
{
n = n%MODO;
long long A1 = ((18L*n+25L)%MODO)*fib[1];
long long A2 = ((11L*(n+1L))%MODO)*fib[0];
long long A3 = (A1+A2)%MODO;
long long res = (invMod*A3)%MODO;
return res;
}

int main()
{
long long ** start = new long long*[N];
for (int i=0; i<N; i++)
start[i] = new long long[N];
start[0][0] = 0;
start[1][0] = start[0][1] = start[1][1] = 1;
long long * sv = new long long[N];
sv[0] = 0;
sv[1] = 1;

long long * rf = new long long[3];
rf[0] = 0;
rf[1] = 5;
rf[2] = 18;

long long* v1 = new long long[2];
long long* v2 = new long long[2];

int T = 0;
scanf("%d", &T);
while (T-->0)
{
long long k;
scanf("%lld", &k);
if (k < 4)
{
int kk = (int)(k-1);
printf("%lld\n", rf[kk]);
}
else
{
k-=3;
long long** cur = pow(start, k);
v1[0] = cur[0][1];
v1[1] = cur[1][1];

v2[0] = v1[1];
v2[1] = (v1[1]+v1[0])%MODO;

long long r1 = solve(v1, k);
long long r2 = solve(v2, k+1);
long long res = (r1+r2)%MODO;

printf("%d\n", res);
}
}

return 0;
}``````

## Chef World CodeChef Solution in C

``````#include<stdio.h>
long long int temp1[2][2]={{1,1},{1,0}},temp[2][2];
int p=1e9+7;
void mul()
{
int i,j,k;
long long int te[2][2];
for(i=0;i<2;i++)
{
for(j=0;j<2;j++)
{
te[i][j]=0;
for(k=0;k<2;k++)
{
te[i][j]+=temp[i][k]*temp[k][j];
}
}
}
for(i=0;i<2;i++)
{
for(j=0;j<2;j++)
{
temp[i][j]=te[i][j]%p;
}
}
}
void mul1()
{
int i,j,k;
long long  int te[2][2];
for(i=0;i<2;i++)
{
for(j=0;j<2;j++)
{
te[i][j]=0;
for(k=0;k<2;k++)
{
te[i][j]+=temp[i][k]*temp1[k][j];
}
}
}
for(i=0;i<2;i++)
{
for(j=0;j<2;j++)
{
temp[i][j]=te[i][j]%p;
}
}
}
void fibo(long long int N)
{
if(N==0)
{
temp[0][0]=1;temp[0][1]=0;temp[1][0]=0;temp[1][1]=1;
}
else
{
if(N%2==1)
{
fibo(N/2);
mul();mul1();
}
else
{
fibo(N/2);
mul();
}
}

}
int main()
{
int t;
long long int  n,tem1,tem2,ans,x,r,q;
scanf("%d",&t);
x=4e8+3;
while(t--)
{
scanf("%lld",&n);
q=11*n-15;
r=7*n-3;
fibo(n);
tem1=temp[0][0];
fibo(n-1);
tem2=temp[0][0];
//printf("%lld %lld\n",tem1,tem2);
ans=((q%p*tem1+r%p*tem2)%p)*x;
ans%=p;
printf("%lld\n",ans);
}

return 0;
}``````

## Chef World CodeChef Solution in JAVA

``````/* package codechef; // don't place package name! */

import java.util.*;
import java.lang.*;
import java.io.*;
import java.math.*;

/* Name of the class has to be "Main" only if the class is public. */
class NewClass
{
public static long [][]b;

public static long [][] MatMul(long [][]a,long [][]b)
{
long[][] c =new long[4][4];
for(int i=0;i<4;i++)
{
for(int j=0;j<4;j++)
{
for(int k=0;k<4;k++)
{
c[i][j]=(c[i][j]+(a[i][k]*b[k][j]))%1000000007;
}
}
}
return c;
}
public static void MatExp(long [][]a,long n)
{
long [][]id={{1,0,0,0},{0,1,0,0},{0,0,1,0},{0,0,0,1}};

if(n==0)  {
b=id.clone();
return ;
}
if(n==1) {
b=a.clone();
return ;
}

long [][]c=new long[4][4];
long d[][]=new long[4][4];
MatExp(a,n/2);
c=b.clone();
d=MatMul(c,c);

if(n%2 !=0)
{
b=MatMul(d,a);
}
else
b=d.clone();
return ;
}

public static void main (String[] args) throws Exception
{

for(int tc=0;tc<t;tc++)
{

long n=Long.parseLong(s);

long [][]arr={{1,1,1,1},{1,0,0,0},{0,0,0,1},{0,0,1,1}};
b=new long[4][4];
if(n==1)
System.out.println(0);
else if(n==2)
System.out.println(5);
else
{
MatExp(arr,n-2);

System.out.println(((((b[0][0]*5))+((b[0][2]*5)))+((b[0][3]*8)))%1000000007);
}
}
}
}``````

## Chef World CodeChef Solution in GO

``````package main

import (
"bufio"
"bytes"
"fmt"
"os"
)

func main() {

var buf bytes.Buffer
for tc > 0 {
tc--
var n uint64
res := solve(int64(n))
buf.WriteString(fmt.Sprintf("%d\n", res))
}
fmt.Print(buf.String())
}

func readUint64(bytes []byte, from int, val *uint64) int {
i := from

var tmp uint64
for i < len(bytes) && bytes[i] >= '0' && bytes[i] <= '9' {
tmp = tmp*10 + uint64(bytes[i]-'0')
i++
}
*val = tmp

return i
}

func readInt(bytes []byte, from int, val *int) int {
i := from
sign := 1
if bytes[i] == '-' {
sign = -1
i++
}
tmp := 0
for i < len(bytes) && bytes[i] >= '0' && bytes[i] <= '9' {
tmp = tmp*10 + int(bytes[i]-'0')
i++
}
*val = tmp * sign
return i
}

for i := 0; i < len(s); i++ {
if s[i] == '\n' || s[i] == '\r' {
return s[:i]
}
}
return s
}

return
}

a, b = res[0], res[1]
return
}

a, b, c = res[0], res[1], res[2]
return
}

res := make([]int, n)
x := 0
for i := 0; i < n; i++ {
for x < len(bs) && (bs[x] < '0' || bs[x] > '9') && bs[x] != '-' {
x++
}
}
return res
}

const MOD = 1000000007

func modAdd(a, b int) int {
a += b
if a >= MOD {
a -= MOD
}
return a
}

func modMul(a, b int) int {
r := int64(a) * int64(b)
r %= MOD
return int(r)
}

func modSub(a, b int) int {
}

func pow(a, b int) int {
r := 1
for b > 0 {
if b&1 == 1 {
r = modMul(r, a)
}
a = modMul(a, a)
b >>= 1
}
return r
}

var inv_5 int

var F [6]int

func init() {
inv_5 = pow(5, MOD-2)
F[0] = 0
F[1] = 1
F[2] = 1
F[3] = 2
F[4] = 3
F[5] = 5
}

func solve(n int64) int {
m := int(n % MOD)
n += 5
A := make([][]int, 2)
B := make([][]int, 2)
C := make([][]int, 2)
for i := 0; i < 2; i++ {
A[i] = make([]int, 2)
B[i] = make([]int, 2)
C[i] = make([]int, 2)
}
A[0][0] = 1
A[1][1] = 1
B[0][0] = 1
B[0][1] = 1
B[1][0] = 1
for n > 0 {
if n&1 == 1 {
C[0][0] = A[0][0]
C[0][1] = A[0][1]
C[1][0] = A[1][0]
C[1][1] = A[1][1]
A[0][0] = 0
A[0][1] = 0
A[1][0] = 0
A[1][1] = 0
for i := 0; i < 2; i++ {
for j := 0; j < 2; j++ {
for k := 0; k < 2; k++ {
}
}
}
}
C[0][0] = B[0][0]
C[0][1] = B[0][1]
C[1][0] = B[1][0]
C[1][1] = B[1][1]
B[0][0] = 0
B[0][1] = 0
B[1][0] = 0
B[1][1] = 0

for i := 0; i < 2; i++ {
for j := 0; j < 2; j++ {
for k := 0; k < 2; k++ {
}
}
}
n >>= 1
}

fa := A[0][0]
fb := A[1][0]

res := modMul(modAdd(modMul(2, m), 10), fa)
res = modSub(res, modMul(modAdd(m, 6), fb))

res = modMul(res, inv_5)

for i := 0; i < 5; i++ {
fa, fb = fb, modSub(fa, fb)
if i < 2 {
res = modSub(res, modMul(2, modMul(F[i], fa)))
} else {
res = modSub(res, modMul(F[i], fa))
}
}

return res
}``````
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