#include #include #include #include using namespace std; using mint=atcoder::modint; int P; struct val{ long e; mint v; val(long n) { e=0; while(n%P==0)n/=P,e++; v=n; } };//v*p**e mint F[1<<20]; val f(long N) { val ret(1); int PP=mint::mod(); while(N>=1) { long q=N/P; ret.v*=F[PP-1].pow(N/PP)*F[N%PP]; ret.e+=N=q; } return ret; } val mul(val a,val b) { a.e+=b.e; a.v*=b.v; return a; } int main() { long L,R;int M; cin>>L>>R>>M; vector >fac; { int m=M; for(int i=2;i*i<=m;i++)if(m%i==0) { fac.push_back(make_pair(i,0)); while(m%i==0)m/=i,fac.back().second++; } if(m>1)fac.push_back(make_pair(m,1)); } vectorr,m; for(pairfp:fac) { P=fp.first; int mod=1; for(int i=0;iL) { //x <- 2*n-1,2*n //y <- n x=mul(mul(x,2*n-1),2*n); y=mul(y,n); } assert(x.e-y.e*2>=0); if(x.e-y.e*2>=fp.second)continue; int tmp=(x.v/y.v.pow(2)).val(); for(int i=0;iret=atcoder::crt(r,m); assert(ret.second==M); cout<<(ret.first-(R-L+1)*2%M+M)%M<