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ll sq(ll x) {return x*x;}
array<ll, 2> recover(ll c, ll m) {
array<ll, 2> u = {m, 0}, v = {c, 1};
while (m <= 2 * sq(v[0])) {
ll q = u[0] / v[0];
u[0] -= q * v[0];
u[1] -= q * v[1];
swap(u, v);
}
if (v[1] <= 0 || 2 * sq(v[1]) >= m) return {-1, -1};
return v;
}
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