题目分析：
观察前3个点，$361=19*19$，所以可以发现实际上就是快速幂，然后模数猜测是$998244353$，因为功能编号里面有这个数字，用费马小定理处理一下。 $pts:12$
观察第4个点，读入很大而结果很小，说明模数不是很大，所以枚举法，配合欧拉定理可以求出来模数为$1145141$，很巧的是这个数是个质数，所以接下来同上。 $pts:7$
观察第5个点，读入很小而结果很大，那我们可以yy一下，读入里面有两个靠得很近的数，所以将读入排序之后求相邻的差值，会发现读入里面有：
$264708066$和$264708068$，输出是x=1996649514996338529和y=1589589654696467295，把$x*361-y$，这个数一定是模数的倍数。这个数等于$719200885258981741674$。
肉眼观察法发现这个数可以被$2$，被$3$整除，然后枚举发现可以被$23$整除，接着我们搞进linux的计算器里面发现剩下的$5211600617818708273$是个质数，所以模数就是它了。 $pts:9$
第6,7个点写了WA掉了，结合提示可以猜测是自然溢出了，而且是枚举乘法的时候溢出了，我们需要找出循环节。$pts:13$
观察第8,9,10个点，因为叫$2p$,所以猜测是prime的意思，也就是求$[l,r]$之间的prime，是质数为$"p"$，不是为$"."$。
最后一个点到了$10^18$的程度，但区间大小只有$10^6$。我想到了可以用区间的埃拉托斯特尼筛来做8,9号点，第十个点我就采用了压缩打表法。 $pts:18$
观察11,12,13个点，因为叫$2u$，所以猜测和$\mu$有关，也就是莫比乌斯函数，对于11,12号点，可以用8,9点的方法，对于13号点，我有一个绝妙的想法。
首先先判定质数，这一步可以用上面的表去判定。对于没判定到的数，用小于等于$10^6$的质数去筛它，这样是没筛干净的。
对于剩下的数，如果等于$1$，那么不用再判断了；如果大于$1e6$那么有三种情况，一种是它是个质数，一种是它是两个相同的质数的乘积，一种是它是两个不同的质数的乘积。所以对于第一种，miller-rabin，第二种，开方，第三种，除了上面两种。 $pts:20$
最后一个部分，14,15,16号点，因为叫$2g$，所以猜测和原根有关。14号点直接枚举，16号点可以先筛出质数，再判是否拟合，如果不拟合就直接break。
十五号点有点难。。我一开始想了一个线性筛的做法，是$O(8n)$的，但是超时了，看了KB的sol之后得到了启发。
对于一个原根g，只要g^d=x，且d与phi(p)互质，那么x就是一个原根
代码：
#include<bits/stdc++.h>
using namespace std; string ss = "[email protected]:71.JH>@Dxn71.V|!Vtl:JlXB163.DBj191.71.JDtT125.vBL99.nd>`!|zP<97.b>Zp>JDJBJXD><|h119.NR`R<[email protected]<J115.81.VJnbJ>:t107.>!ZRDNd83.JJ>tJB|<305.X137.Pn>[email protected].>ttPD83.L<:135.L93.J121.HV:B:H151.TFHFZ:PZDXBt:<!RBXb233.~jNdHdxF89.tJP<D89.DX<:J129.>j<:TR83.>!87.125.JDJ@J`XNp>107.H71.F95.N|89.123.L75.J79.HP!^B@T:x109.>[email protected]^lDDRl107.XNL!<>73.HX`jTVDL>VHn:Bb:89.~>P107.151.159.p<>DXV~!71.79.>179.`D:bP83.NjfPn!V133.VzH151.VTL119.101.HP:B>bj`>R<73.fD:bh>[email protected]^<XzD81.137.JL83.Z79.>r@<d><71.vz<@[email protected]`>>119.@zB@!HVnRJ87.XhtJtP>VDt81.79.fR77.TPP:[email protected].^77.135.>[email protected]>blV:83.>J~Dn115.<VR>hft^!<@71.`LH89.FDxd87.J79.BFB@<RnBLZL<[email protected].`D:rJP:nt!h`97.209.xj<113.@nT>:Dr:>><bFr:89.Z239.D|HFNdZFNJ:87.^77.`>103.V<JP73.nN!131.:~73.89.171.^xb@DhHvZdz`Ftfn:Z|NnDb85.<JLJ~Rr!F~bd93.>[email 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char str[]; int fast_pow(int now,int pw,int mod){
int ans = ,dt = now,bit = ;
while(bit <= pw){
if(bit & pw) ans = 1ll*ans*dt%mod;
dt = 1ll*dt*dt%mod; bit <<= ;
}
return ans;
} namespace solve1{
int n; const int mod = ;
void work(){
scanf("%d",&n);
for(int i=;i<=n;i++){
char ch = getchar();
while(ch > '' || ch < '') ch = getchar();
int zz = ;
while(ch<=''&&ch>='')zz=(zz*10ll+ch-'')%(mod-),ch=getchar();
printf("%d\n",fast_pow(,zz,mod));
}
}
} namespace solve2{
int n; int mod=;
void work(){
scanf("%d",&n);
for(int i=;i<=n;i++){
char ch = getchar();
while(ch > '' || ch < '') ch = getchar();
int zz = ;
while(ch<=''&&ch>='')zz=(zz*10ll+ch-'')%(mod-),ch=getchar();
printf("%d\n",fast_pow(,zz,mod));
}
}
} namespace solve3{
int n; unsigned long long mod=5211600617818708273ll;
unsigned long long fast_multi(unsigned long long now,unsigned long long pw){
unsigned long long dt = now,bit = ,ans = ;
while(bit <= pw){
if(bit & pw){ans = ans+dt; if(ans >= mod) ans-=mod;}
dt = (dt+dt); if(dt >= mod) dt -= mod;
bit<<=;
}
return ans;
}
unsigned long long fast_pow(int now,int pw){
unsigned long long dt = now,bit = ,ans = ;
while(bit <= pw){
if(bit & pw){ans = fast_multi(dt,ans);}
bit <<=; dt = fast_multi(dt,dt);
}
return ans;
}
void work(){
scanf("%d",&n);
for(int i=;i<=n;i++){
int zz; scanf("%d",&zz);printf("%llu\n",fast_pow(,zz));
}
}
} namespace solve4{
int n; const int mod = ;
int res[];
void work(){
res[] = ;
for(int i=;i<=;i++) res[i] = res[i-]*%mod;
scanf("%d",&n);
for(int i=;i<=n;i++){
long long zz; scanf("%lld",&zz);
if(zz > ) {zz -= ; zz %= ; zz += ;}
printf("%d\n",res[zz]);
}
}
} namespace solve5{
int n,prime[],flag[],num;
void solveit(long long l,long long r){
if(r <= 1e12+){
flag[] = ;int N = ;
for(int i=;i<=N;i++){
if(!flag[i]) prime[++num] = i;
for(int j=;j<=num&&i*prime[j]<=N;j++){
flag[i*prime[j]] = ;
if(i%prime[j] == ) break;
}
}
memset(flag,,sizeof(flag));
for(int i=;i<=num;i++){
long long st = l/prime[i]+(l%prime[i]!=);
if(st == ) st++;
for(long long j=st;j*prime[i]<=r;j++){
flag[j*prime[i]-l+] = ;
}
}
for(long long i=l;i<=r;i++)
if(flag[i-l+] == ) printf(".");
else printf("p");
puts("");
}else{
for(int i=;i<ss.length();i++){
if(i!=){printf("p");}
int dd = ;
if(ss[i] == '!') dd = -'';
else if(ss[i]>'') dd = ss[i]-'';
else{
for(int j=i;j<ss.length()&&ss[j]!='.';j++,i++)
dd = dd*+ss[j]-'';
}
for(int j=;j<=dd;j++) printf(".");
}
puts("");
}
}
void work(){
scanf("%d",&n);
for(int i=;i<=n;i++){
long long l,r; scanf("%lld%lld",&l,&r);
if(i == ){puts("pp.p.p...");}
else if(i == ){puts("p.p...");}
else if(i == ){puts("pp.p.p...p.p..");}
else solveit(l,r);
}
}
} namespace solve6{
int n,prime[],flag[],num;
long long oth[];
int res[];
void solveit(long long l,long long r){
flag[] = ;int N = ;
for(int i=;i<=N;i++){
if(!flag[i]) prime[++num] = i;
for(int j=;j<=num&&i*prime[j]<=N;j++){
flag[i*prime[j]] = ;
if(i%prime[j] == ) break;
}
}
for(long long i=l;i<=r;i++) flag[i-l+]=,oth[i-l+]=i;
if(r <= 1e12+){
for(int i=;prime[i]<=;i++){
long long st = l/prime[i]+(l%prime[i]!=);
if(st == ) st++;
for(long long j=st;j*prime[i]<=r;j++){
while(oth[j*prime[i]-l+] % prime[i]==) oth[j*prime[i]-l+]/=prime[i];
if(j%prime[i] == ) flag[j*prime[i]-l+] = ;
else flag[j*prime[i]-l+]*=-;
}
}
for(long long i=l;i<=r;i++) if(oth[i-l+]!=) flag[i-l+] *=-;
for(long long i=l;i<=r;i++)
if(flag[i-l+] == -) printf("-");
else if(flag[i-l+] == ) printf("+");
else printf("");
puts("");
}else{
int nur = ;
for(int i=;i<sk.length();i++){
int um = (int)sk[i]-'';
if(sk[i] == '!')um = -'';
for(int j=;j>=;j--) res[i*+j] = (um&),um>>=;
}
for(int i=;i<ss.length();i++){
if(i!=){flag[++nur] = -; oth[nur] = ;}
int dd = ;
if(ss[i] == '!') dd = -'';
else if(ss[i]>'') dd = ss[i]-'';
else{for(int j=i;j<ss.length()&&ss[j]!='.';j++,i++)dd = dd*+ss[j]-'';}nur += dd;
}
for(int i=;i<=num;i++){
long long st = l/prime[i]+(l%prime[i]!=);
if(st == ) st++;
for(long long j=st;j*prime[i]<=r;j++){
while(oth[j*prime[i]-l+] % prime[i]==) oth[j*prime[i]-l+]/=prime[i];
if(j%prime[i] == ) flag[j*prime[i]-l+] = ;
else flag[j*prime[i]-l+]*=-;
}
}
nur = ;
for(long long i=l;i<=r;i++){
if(flag[i-l+] == || oth[i-l+] == ) {
;
}else{
if(oth[i-l+] > 1e15){
if(res[nur++] == ) flag[i-l+]*=-;
//printf("%lld %d\n",i,flag[i-l+1]);
}else{flag[i-l+] *= -;}
}
if(flag[i-l+] == ) printf("+");
else if(flag[i-l+] == ) printf("");
else printf("-");
}
puts("");
}
}
void work(){
scanf("%d",&n);
for(int i=;i<=n;i++){
long long l,r; scanf("%lld%lld",&l,&r);
if(i == ){puts("--0-+-00+");}
else if(i == ){puts("-+-00+");}
else if(i == ){puts("--0-+-00+-0-++");}
else solveit(l,r);
}
}
} namespace solve8{
void s99(int l,int r){
int mod =;
for(int i=l;i<=r;i++){
int flag = ;
if(fast_pow(i,(mod-)/,mod) == ) flag = ;
if(fast_pow(i,(mod-)/,mod) == ) flag = ;
if(fast_pow(i,(mod-)/,mod) == ) flag = ;
if(flag) printf(".");
else printf("g");
}
puts("");
}
int tab[] = {,,,,,,,,};
int gg = ;
int res[];
void s13(int l,int r,int p){
for(int i=;i<=p-;i++,gg=1ll*gg*%p){
for(int j=;j<=;j++) if(i%tab[j] == ) res[gg] = ;
}
for(int i=;i<p;i++) if(res[i]) printf("."); else printf("g");
puts("");
}
void work(){
int n; scanf("%d",&n);
for(int i=;i<=n;i++){
int a,b,c; scanf("%d%d%d",&a,&b,&c);
if(i == ){puts(".g");}
else if(i == ){puts(".g.gg...g");}
else if(n == ) s99(a,b);
else s13(a,b,c);
}
}
} namespace solve7{
const int mod = ;
void work(){
int n; scanf("%d",&n);
for(int i=;i<=n;i++){
int l,r,c;
if(i != ) scanf("%d%d%d",&l,&r,&c);
else scanf("%d%d",&l,&r);
if(i == ){puts(".g");}
else if(i == ){puts(".g.gg...g");}
else {
for(int i=l;i<=r;i++){
int flag = ;
if(fast_pow(i,(mod-)/,mod) == ) flag = ;
if(fast_pow(i,(mod-)/,mod) == ) flag = ;
if(fast_pow(i,(mod-)/,mod) == ) flag = ;
if(fast_pow(i,(mod-)/,mod) == ) flag = ;
if(flag) printf(".");
else printf("g");
}
puts("");
}
}
}
} int main(){
scanf("%s",str);
if(str[] == '' && str[] == '_') solve1::work();
else if(str[] == '' && str[] == '?' && str[] == '+') solve3::work();
else if(str[] == '' && str[] == '?') solve2::work();
else if(str[] == '' && str[] == 'w') solve4::work();
else if(str[] == '' && str[] == 'p') solve5::work();
else if(str[] == '' && str[] == 'u') solve6::work();
else if(str[] == '?') solve7::work();
else if(str[] == 'g') solve8::work();
return ;
}