((3 * ‘N’ ) ! / ( 3! ^ ‘N’ ) )% ‘P↵
↵
I HAVE TO SOLVE THIS. THE PROBLEM IS ↵
IF N=4;↵
AND P=7↵
MY NUMERATOR BECOMES 0 AND THIS WILL GIVE ME WRONG ANSWER.↵
THE ANSWER IS 6↵
BUT MY CODE IS GIVING 1.↵
↵
THIS IS HOW IM DOING IT.↵
IM ITERATING FROM 1 TO 3*N CALCULATING (3*N)FACTORIAL.↵
CALCULATE THE DENOMINATOR, DO MOD INVERSE AND MULTIPLY.↵
ANY SUGGESTIONS HOW CAN I DEAL WITH THIS.↵
↵
↵
~~~~~↵
#include <bits/stdc++.h>↵
#define ll long long↵
ll factorial(ll n,ll p){↵
ll res=1;↵
for(ll i=1;i<=n;i++){↵
res=((res%%p)*(i%p))%p;↵
}↵
return res;↵
}↵
ll power(ll num,ll d,ll p){↵
ll res=1;↵
while(d){↵
if(d&1){↵
res=((res%p)*(num%p))%p;↵
d--;↵
}↵
d/=2;↵
num=((num%p)*(num%p))%p;↵
}↵
return res;↵
}↵
ll mul(ll a,ll b,ll p){↵
ll res=0;↵
a%=p;↵
while(b){↵
if(b&1){↵
res=((res%p)+(a%p))%p;↵
b--;↵
}↵
b/=2;↵
a=(2*(a%p))%p;↵
}↵
return res;↵
}↵
long long int factorialAgain(long long int n,long long int p)↵
{↵
if(p==1)return 0;↵
// Write your coder here.↵
ll temp=3*n;↵
ll numerator=factorial(temp,p);↵
n%=(p-1);↵
cout<<numerator<<endl;↵
ll den=power(6,n,p);↵
ll inverse=power(den,p-2,p);↵
ll ans=mul(inverse,numerator,p);↵
return ans;↵
}↵
~~~~~↵
PLEASE HELP ME.↵
↵
I HAVE TO SOLVE THIS. THE PROBLEM IS ↵
IF N=4;↵
AND P=7↵
MY NUMERATOR BECOMES 0 AND THIS WILL GIVE ME WRONG ANSWER.↵
THE ANSWER IS 6↵
BUT MY CODE IS GIVING 1.↵
↵
THIS IS HOW IM DOING IT.↵
IM ITERATING FROM 1 TO 3*N CALCULATING (3*N)FACTORIAL.↵
CALCULATE THE DENOMINATOR, DO MOD INVERSE AND MULTIPLY.↵
ANY SUGGESTIONS HOW CAN I DEAL WITH THIS.↵
↵
↵
~~~~~↵
#include <bits/stdc++.h>↵
#define ll long long↵
ll factorial(ll n,ll p){↵
ll res=1;↵
for(ll i=1;i<=n;i++){↵
res=((res%
}↵
return res;↵
}↵
ll power(ll num,ll d,ll p){↵
ll res=1;↵
while(d){↵
if(d&1){↵
res=((res%p)*(num%p))%p;↵
d--;↵
}↵
d/=2;↵
num=((num%p)*(num%p))%p;↵
}↵
return res;↵
}↵
ll mul(ll a,ll b,ll p){↵
ll res=0;↵
a%=p;↵
while(b){↵
if(b&1){↵
res=((res%p)+(a%p))%p;↵
b--;↵
}↵
b/=2;↵
a=(2*(a%p))%p;↵
}↵
return res;↵
}↵
long long int factorialAgain(long long int n,long long int p)↵
{↵
if(p==1)return 0;↵
// Write your coder here.↵
ll temp=3*n;↵
ll numerator=factorial(temp,p);↵
n%=(p-1);↵
ll inverse=power(den,p-2,p);↵
ll ans=mul(inverse,numerator,p);↵
return ans;↵
}↵
~~~~~↵
PLEASE HELP ME.↵