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template<typename T> T expo(T e, T n){T x=1,p=e;while(n){if(n&1)x=x*p;p=p*p;n>>=1;}return x;}
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template<typename T> T power(T e, T n, T m){T x=1,p=e;while(n){if(n&1)x=mod(x*p,m);p=mod(p*p,m);n>>=1;}return x;}
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template<typename T> T power(T e, T n, T m){T x=1%m,p=e;while(n){if(n&1)x=mod(x*p,m);p=mod(p*p,m);n>>=1;}return x;}
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template<typename T> T extended_euclid(T a, T b, T &x, T &y){T xx=0,yy=1;y=0;x=1;while(b){T q=a/b,t=b;b=a%b;a=t;t=xx;xx=x-q*xx;x=t;t=yy;yy=y-q*yy;y=t;}return a;}
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template<typename T> T mod_inverse(T a, T n){T x,y;T d = extended_euclid(a, n, x, y);return (d>1?-1:mod_neg(x,n));}
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@@ -39,8 +41,7 @@ int main() {
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freopen("res.txt", "w", stdout);
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#endif
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// Brute force code goes below
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// Brute force code or some Accepted code goes below
template<typename T> T expo(T e, T n){T x=1,p=e;while(n){if(n&1)x=x*p;p=p*p;n>>=1;}return x;}
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template<typename T> T power(T e, T n, T m){T x=1,p=e;while(n){if(n&1)x=mod(x*p,m);p=mod(p*p,m);n>>=1;}return x;}
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template<typename T> T power(T e, T n, T m){T x=1%m,p=e;while(n){if(n&1)x=mod(x*p,m);p=mod(p*p,m);n>>=1;}return x;}
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template<typename T> T extended_euclid(T a, T b, T &x, T &y){T xx=0,yy=1;y=0;x=1;while(b){T q=a/b,t=b;b=a%b;a=t;t=xx;xx=x-q*xx;x=t;t=yy;yy=y-q*yy;y=t;}return a;}
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template<typename T> T mod_inverse(T a, T n){T x,y;T d = extended_euclid(a, n, x, y);return (d>1?-1:mod_neg(x,n));}
template<typename T> T expo(T e, T n){T x=1,p=e;while(n){if(n&1)x=x*p;p=p*p;n>>=1;}return x;}
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template<typename T> T power(T e, T n, T m){T x=1,p=e;while(n){if(n&1)x=mod(x*p,m);p=mod(p*p,m);n>>=1;}return x;}
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template<typename T> T power(T e, T n, T m){T x=1%m,p=e;while(n){if(n&1)x=mod(x*p,m);p=mod(p*p,m);n>>=1;}return x;}
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template<typename T> T extended_euclid(T a, T b, T &x, T &y){T xx=0,yy=1;y=0;x=1;while(b){T q=a/b,t=b;b=a%b;a=t;t=xx;xx=x-q*xx;x=t;t=yy;yy=y-q*yy;y=t;}return a;}
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template<typename T> T mod_inverse(T a, T n){T x,y;T d = extended_euclid(a, n, x, y);return (d>1?-1:mod_neg(x,n));}
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