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22
2025fall/source/Math/PolladRho.cpp
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22
2025fall/source/Math/PolladRho.cpp
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void fact(ll n, vl& ret) {
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if(n == 1) return;
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else if(n%2 == 0) ret.pb(2), fact(n/2, ret);
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else if(is_p(n)) ret.pb(n);
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else {
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ll a, b, c, g = n;
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auto f = [&c, &n](ll x)->ll{return (c+(lll)x*x)%n;};
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do {
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if(g == n) a=b=rand()%(n-2)+2, c=rand()%20+1;
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a=f(a); b=f(f(b));
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g = gcd(a-b, n);
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} while(g == 1);
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fact(g, ret); fact(n/g, ret);
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}
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}
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vl po_rho(ll n) {
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vl ret;
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fact(n, ret);
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sort(all(ret));
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return ret;
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}
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