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vector<int> mobius_all(int M){
vector<int> mobius(M), isprime(M);
for (int i = 0; i < M; ++i) {
mobius[i] = isprime[i] = 1;
}
for (int i = 2; i < M; ++i) {
if(isprime[i]){
for (int j = i; j < M; j += i) {
mobius[j] = -mobius[j];
isprime[j] = 0;
}
isprime[i] = 1;
ll x = (ll)i*i;
if(x <= M){
for (int j = x; j < M; j += x) {
mobius[j] = 0;
}
}
}
}
return mobius;
}
#line 1 "math/mobius_all.cpp"
vector<int> mobius_all(int M){
vector<int> mobius(M), isprime(M);
for (int i = 0; i < M; ++i) {
mobius[i] = isprime[i] = 1;
}
for (int i = 2; i < M; ++i) {
if(isprime[i]){
for (int j = i; j < M; j += i) {
mobius[j] = -mobius[j];
isprime[j] = 0;
}
isprime[i] = 1;
ll x = (ll)i*i;
if(x <= M){
for (int j = x; j < M; j += x) {
mobius[j] = 0;
}
}
}
}
return mobius;
}