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struct CRT {
using lll = __int128;
lll M = 1, sol = 0; // Solution unique modulo M
bool hasSol = true;
// Adds congruence x = a (mod m)
void add(ll a, ll m) {
auto [d, s, t] = extendedEuclid(M, m);
if((a - sol) % d != 0) hasSol = false;
lll z = M/d * s;
M *= m/d;
sol = (z % M * (a-sol) % M + sol + M) % M;
}
};
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