分段打表大法好！！！
打表40min,A题1s
https://nanti.jisuanke.com/t/41300
#include<bits/stdc++.h> #define int long long using namespace std; #define mod 998244353 const int maxn=100000+2; int P[maxn],phi[maxn],cnt=0; bool f[maxn]; void init() { phi[1]=1; for(int i=2;i<maxn;i++){ if(!f[i]){ P[cnt++]=i; phi[i]=i-1; } for(int j=0;j<cnt;j++){ if(i*P[j]>maxn)break; f[i*P[j]]=1; if(i%P[j]==0){ phi[i*P[j]]=phi[i]*P[j]; break; } phi[i*P[j]]=phi[i]*(P[j]-1); } } } int qp(int x,int n) { int ans=1; int a=x; while(n){ if(n&1){ ans=(ans*a)%mod; } a=(a*a)%mod; n>>=1; } return ans; } int ans=0; void cal(int n) { int i,j; int b; for(j=1;j<=n;j++) for(i=1;i<=n;i++){ b=qp(2,phi[i]*phi[j]); //else b=B[b]; ans+=(phi[i]*phi[j])%mod*b%mod; ans%=mod; } cout<<ans<<'\n'; } void cal2(int x,int y) { //cout<<x<<' '<<y<<endl; int b; for(int i=1;i<=y;i++){ int n=i+x; for(int j=1;j<=n;j++){ b=qp(2,phi[n]*phi[j]); //else b=B[b]; if(j!=n){ b=(b*2)%mod; } ans+=(phi[n]*phi[j])%mod*b%mod; ans%=mod; } } cout<<ans<<'\n'; } int 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}; signed main() { int T; int n; init(); scanf("%lld",&T); while(T--){ scanf("%lld",&n); if(n<1500){ ans=0; cal(n); }else if(n<10000){ int x=(n-1500)/100; ans=Ans[x]; //cout<<ans<<'\n'; int a=100*(n/100); int b=n%100; cal2(a,b); }else if(n<50000){ int x=(n-10000)/50+(10000-1500)/100; ans=Ans[x]; int a=(50)*(n/50); int b=n%50; cal2(a,b); }else{ int x=(n-50000)/10+(50000-10000)/50+(10000-1500)/100; ans=Ans[x]; int a=(10)*(n/10); int b=n%10; cal2(a,b); } } }
打表代码：
#include<bits/stdc++.h> #define int long long using namespace std; #define mod 998244353 const int maxn=100000+2; int P[maxn],phi[maxn],cnt=0,B[500*maxn+1]; bool f[maxn]; void init() { phi[1]=1; for(int i=2;i<maxn;i++){ if(!f[i]){ P[cnt++]=i; phi[i]=i-1; } for(int j=0;j<cnt;j++){ if(i*P[j]>maxn)break; f[i*P[j]]=1; if(i%P[j]==0){ phi[i*P[j]]=phi[i]*P[j]; break; } phi[i*P[j]]=phi[i]*(P[j]-1); } } B[0]=1; for(int i=1;i<=500*maxn;i++){ B[i]=(B[i-1]*2)%mod; } } int qp(int x,int n) { int ans=1; int a=x; while(n){ if(n&1){ ans=(ans*a)%mod; } a=(a*a)%mod; n>>=1; } return ans; } int ans=0; void cal(int n) { int i,j=n; int b; for(i=1;i<=n;i++){ b=phi[i]*phi[j]; if(b>=500*maxn){ b=qp(B[phi[i]],phi[j]); } else b=B[b]; if(i!=n) b=(2*b)%mod; ans+=(phi[i]*phi[j])%mod*b%mod; ans%=mod; } cout<<ans<<','; } signed main() { //cout<<sizeof(Ans)/sizeof(Ans[0]); init(); freopen("a.txt","w",stdout); for(int i=1;i<=100000;i++){ cal(i); } }