const _ZERO=BigInt(0),_ONE=BigInt(1),_TWO=BigInt(2);function abs(b){return b=BigInt(b),b>=_ZERO?b:-b}function eGcd(c,d){c=BigInt(c),d=BigInt(d);let e=_ZERO,f=_ONE,g=_ONE,h=_ZERO;for(;c!==_ZERO;){let a=d/c,b=d%c,i=e-g*a,j=f-h*a;d=c,c=b,e=g,f=h,g=i,h=j}return{b:d,x:e,y:f}}function gcd(c,d){c=abs(c),d=abs(d);let e=_ZERO;for(;!((c|d)&_ONE);)c>>=_ONE,d>>=_ONE,e++;for(;!(c&_ONE);)c>>=_ONE;do{for(;!(d&_ONE);)d>>=_ONE;if(c>d){let a=c;c=d,d=a}d-=c}while(d);return c<<e}function lcm(c,d){return c=BigInt(c),d=BigInt(d),abs(c*d)/gcd(c,d)}function modInv(b,a){let c=eGcd(b,a);return c.b===_ONE?toZn(c.x,a):null}function modPow(c,d,e){if(e=BigInt(e),c=toZn(c,e),d=BigInt(d),d<_ZERO)return modInv(modPow(c,abs(d),e),e);let f=_ONE,g=c;for(;0<d;){var h=d%_TWO;d/=_TWO,h==_ONE&&(f*=g,f%=e),g*=g,g%=e}return f}function toZn(b,c){return c=BigInt(c),b=BigInt(b)%c,0>b?b+c:b}export{abs,eGcd,gcd,lcm,modInv,modPow,toZn};