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| #include<cstdio> #include<cstring> #include<algorithm> #include<iostream> #include<queue> #include<map> #include<stack> #include<cmath> #include<set> #include<bitset> #include<complex> #include<cstdlib> #include<assert.h> #define inc(i,l,r) for(int i=l;i<=r;i++) #define dec(i,l,r) for(int i=l;i>=r;i--) #define link(x) for(edge *j=h[x];j;j=j->next) #define mem(a) memset(a,0,sizeof(a)) #define ll long long #define mid (x+y>>1) #define eps 1e-8 #define succ(x) (1<<(x)) #define lowbit(x) (x&(-x)) #define sqr(x) ((x)*(x)) #define NM 100005 #define nm 20000005 using namespace std; const double pi=acos(-1); const ll inf=20170408; ll read(){ ll x=0,f=1;char ch=getchar(); while(!isdigit(ch)){if(ch=='-')f=-1;ch=getchar();} while(isdigit(ch))x=x*10+ch-'0',ch=getchar(); return f*x; }
int n,m,p,_m; ll d[32][NM],ans[NM],_ans,tmp[NM]; bool v[nm];
int main(){ n=read();_m=m=read();p=read(); for(int i=2;i<=m;i++)if(!v[i]) for(int j=i<<1;j<=m;j+=i)v[j]++; inc(i,0,p-1)d[0][i]=m/p; m%=p; inc(i,1,m)d[0][i]++; m=p-1; for(int i=1;succ(i)<=n;i++) inc(j,0,m)inc(k,0,m)(d[i][(j+k)%p]+=d[i-1][j]*d[i-1][k])%=inf; ans[0]=1; for(int i=0;succ(i)<=n;i++)if(n>>i&1){ memcpy(tmp,ans,sizeof(ans));mem(ans); inc(j,0,m)inc(k,0,m)(ans[(j+k)%p]+=tmp[j]*d[i][k])%=inf; } _ans=ans[0]; for(int i=2;i<=_m;i++)if(!v[i])d[0][i%p]--; for(int i=1;succ(i)<=n;i++){ mem(d[i]); inc(j,0,m)inc(k,0,m)(d[i][(j+k)%p]+=d[i-1][j]*d[i-1][k])%=inf; } mem(ans);ans[0]=1; for(int i=0;succ(i)<=n;i++)if(n>>i&1){ memcpy(tmp,ans,sizeof(ans));mem(ans); inc(j,0,m)inc(k,0,m)(ans[(j+k)%p]+=tmp[j]*d[i][k])%=inf; } _ans+=inf-ans[0];_ans%=inf; printf("%lld\n",_ans); return 0; }
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