big-integer - npm Package Compare versions

Comparing version 1.6.15 to 1.6.16

BigInteger.js

@@ -304,3 +304,3 @@ var bigInt = (function (undefined) {
         var n = Math.max(x.length, y.length);
-        
+
         if (n <= 30) return multiplyLong(x, y);
@@ -826,2 +826,20 @@ n = Math.ceil(n / 2);
 
+    BigInteger.prototype.modInv = function (n) {
+        var t = bigInt.zero, newT = bigInt.one, r = parseValue(n), newR = this.abs(), q, lastT, lastR;
+        while (!newR.equals(bigInt.zero)) {
+        	q = r.divide(newR);
+          lastT = t;
+          lastR = r;
+          t = newT;
+          r = newR;
+          newT = lastT.subtract(q.multiply(newT));
+          newR = lastR.subtract(q.multiply(newR));
+        }
+        if (t.compare(0) === -1) {
+        	t = t.add(n);
+        }
+        return t;
+    }
+    SmallInteger.prototype.modInv = BigInteger.prototype.modInv;
+
     BigInteger.prototype.next = function () {
@@ -1119,3 +1137,3 @@ var value = this.value;
     SmallInteger.prototype.toJSNumber = SmallInteger.prototype.valueOf;
-    
+
     function parseStringValue(v) {
@@ -1159,3 +1177,3 @@ if (isPrecise(+v)) {
     }
-    
+
     function parseNumberValue(v) {
@@ -1162,0 +1180,0 @@ if (isPrecise(v)) {

BigInteger.min.js

@@ -1,33 +0,1 @@
-var bigInt=function(E){function k(a,b){if("undefined"===typeof a)return k[0];if("undefined"!==typeof b){var c;if(10===+b)c=l(a);else{c=b;var n=k[0],f=k[1],d=a.length;if(2<=c&&36>=c&&d<=ga/Math.log(c))c=new e(parseInt(a,c));else{c=l(c);var d=[],g,h="-"===a[0];for(g=h?1:0;g<a.length;g++){var q=a[g].toLowerCase(),u=q.charCodeAt(0);if(48<=u&&57>=u)d.push(l(q));else if(97<=u&&122>=u)d.push(l(q.charCodeAt(0)-87));else if("<"===q){q=g;do g++;while(">"!==a[g]);d.push(l(a.slice(q+1,g)))}else throw Error(q+
-" is not a valid character");}d.reverse();for(g=0;g<d.length;g++)n=n.add(d[g].times(f)),f=f.times(c);c=h?n.negate():n}}return c}return l(a)}function d(a,b){this.value=a;this.sign=b;this.isSmall=!1}function e(a){this.value=a;this.sign=0>a;this.isSmall=!0}function w(a){return-9007199254740992<a&&9007199254740992>a}function z(a){return 1E7>a?[a]:1E14>a?[a%1E7,Math.floor(a/1E7)]:[a%1E7,Math.floor(a/1E7)%1E7,Math.floor(a/1E14)]}function y(a){D(a);var b=a.length;if(4>b&&0>A(a,P))switch(b){case 0:return 0;
-case 1:return a[0];case 2:return a[0]+1E7*a[1];default:return a[0]+1E7*(a[1]+1E7*a[2])}return a}function D(a){for(var b=a.length;0===a[--b];);a.length=b+1}function K(a){for(var b=Array(a),c=-1;++c<a;)b[c]=0;return b}function B(a){return 0<a?Math.floor(a):Math.ceil(a)}function S(a,b){var c=a.length,d=b.length,f=Array(c),m=0,g,e;for(e=0;e<d;e++)g=a[e]+b[e]+m,m=1E7<=g?1:0,f[e]=g-1E7*m;for(;e<c;)g=a[e]+m,m=1E7===g?1:0,f[e++]=g-1E7*m;0<m&&f.push(m);return f}function F(a,b){return a.length>=b.length?S(a,
-b):S(b,a)}function L(a,b){var c=a.length,d=Array(c),f,e;for(e=0;e<c;e++)f=a[e]-1E7+b,b=Math.floor(f/1E7),d[e]=f-1E7*b,b+=1;for(;0<b;)d[e++]=b%1E7,b=Math.floor(b/1E7);return d}function G(a,b){var c=a.length,d=b.length,f=Array(c),e=0,g,h;for(g=0;g<d;g++)h=a[g]-e-b[g],0>h?(h+=1E7,e=1):e=0,f[g]=h;for(g=d;g<c;g++){h=a[g]-e;if(0>h)h+=1E7;else{f[g++]=h;break}f[g]=h}for(;g<c;g++)f[g]=a[g];D(f);return f}function M(a,b,c){var n=a.length,f=Array(n);b=-b;var m,g;for(m=0;m<n;m++)g=a[m]+b,b=Math.floor(g/1E7),g%=
-1E7,f[m]=0>g?g+1E7:g;f=y(f);return"number"===typeof f?(c&&(f=-f),new e(f)):new d(f,c)}function Q(a,b){var c=a.length,d=b.length,f=K(c+d),e,g,h,k;for(h=0;h<c;++h){k=a[h];for(var l=0;l<d;++l)e=b[l],e=k*e+f[h+l],g=Math.floor(e/1E7),f[h+l]=e-1E7*g,f[h+l+1]+=g}D(f);return f}function H(a,b){var c=a.length,d=Array(c),f=0,e,g;for(g=0;g<c;g++)e=a[g]*b+f,f=Math.floor(e/1E7),d[g]=e-1E7*f;for(;0<f;)d[g++]=f%1E7,f=Math.floor(f/1E7);return d}function T(a,b){for(var c=[];0<b--;)c.push(0);return c.concat(a)}function N(a,
-b){var c=Math.max(a.length,b.length);if(30>=c)return Q(a,b);var c=Math.ceil(c/2),d=a.slice(c),f=a.slice(0,c),e=b.slice(c),g=b.slice(0,c),h=N(f,g),k=N(d,e),d=N(F(f,d),F(g,e)),c=F(F(h,T(G(G(d,h),k),c)),T(k,2*c));D(c);return c}function U(a,b,c){return 1E7>a?new d(H(b,a),c):new d(Q(b,z(a)),c)}function V(a){var b=a.length,c=K(b+b),d,f,e,g;for(e=0;e<b;e++){g=a[e];for(var h=0;h<b;h++)d=a[h],d=g*d+c[e+h],f=Math.floor(d/1E7),c[e+h]=d-1E7*f,c[e+h+1]+=f}D(c);return c}function W(a,b){var c=a.length,d=K(c),f,
-e;e=0;for(--c;0<=c;--c)e=1E7*e+a[c],f=B(e/b),e-=f*b,d[c]=f|0;return[d,e|0]}function I(a,b){var c,n=l(b),f=a.value;c=n.value;if(0===c)throw Error("Cannot divide by zero");if(a.isSmall)return n.isSmall?[new e(B(f/c)),new e(f%c)]:[k[0],a];if(n.isSmall){if(1===c)return[a,k[0]];if(-1==c)return[a.negate(),k[0]];c=Math.abs(c);if(1E7>c)return c=W(f,c),f=y(c[0]),c=c[1],a.sign&&(c=-c),"number"===typeof f?(a.sign!==n.sign&&(f=-f),[new e(f),new e(c)]):[new d(f,a.sign!==n.sign),new e(c)];c=z(c)}var m=A(f,c);if(-1===
-m)return[k[0],a];if(0===m)return[k[a.sign===n.sign?1:-1],k[0]];if(200>=f.length+c.length){var g=c,h=f.length;c=g.length;var m=K(g.length),q=g[c-1],u=Math.ceil(1E7/(2*q)),f=H(f,u),g=H(g,u),p,r,x,t,v,w;f.length<=h&&f.push(0);g.push(0);q=g[c-1];for(p=h-c;0<=p;p--){h=9999999;f[p+c]!==q&&(h=Math.floor((1E7*f[p+c]+f[p+c-1])/q));x=r=0;v=g.length;for(t=0;t<v;t++)r+=h*g[t],w=Math.floor(r/1E7),x+=f[p+t]-(r-1E7*w),r=w,0>x?(f[p+t]=x+1E7,x=-1):(f[p+t]=x,x=0);for(;0!==x;){--h;for(t=r=0;t<v;t++)r+=f[p+t]-1E7+g[t],
-0>r?(f[p+t]=r+1E7,r=0):(f[p+t]=r,r=1);x+=r}m[p]=h}f=W(f,u)[0];c=[y(m),y(f)]}else{m=f.length;q=c.length;u=[];for(g=[];m;)if(g.unshift(f[--m]),0>A(g,c))u.push(0);else{h=g.length;p=1E7*g[h-1]+g[h-2];r=1E7*c[q-1]+c[q-2];h>q&&(p=1E7*(p+1));h=Math.ceil(p/r);do{p=H(c,h);if(0>=A(p,g))break;h--}while(h);u.push(h);g=G(g,p)}u.reverse();c=[y(u),y(g)]}f=c[0];n=a.sign!==n.sign;c=c[1];m=a.sign;"number"===typeof f?(n&&(f=-f),f=new e(f)):f=new d(f,n);"number"===typeof c?(m&&(c=-c),c=new e(c)):c=new d(c,m);return[f,
-c]}function A(a,b){if(a.length!==b.length)return a.length>b.length?1:-1;for(var c=a.length-1;0<=c;c--)if(a[c]!==b[c])return a[c]>b[c]?1:-1;return 0}function X(a){a=a.abs();if(a.isUnit())return!1;if(a.equals(2)||a.equals(3)||a.equals(5))return!0;if(a.isEven()||a.isDivisibleBy(3)||a.isDivisibleBy(5))return!1;if(a.lesser(25))return!0}function Y(a){return("number"===typeof a||"string"===typeof a)&&1E7>=+Math.abs(a)||a instanceof d&&1>=a.value.length}function R(a,b,c){b=l(b);var d=a.isNegative(),e=b.isNegative(),
-m=d?a.not():a,g=e?b.not():b;b=[];a=[];for(var h=!1,k=!1;!h||!k;)m.isZero()?(h=!0,b.push(d?1:0)):d?b.push(m.isEven()?1:0):b.push(m.isEven()?0:1),g.isZero()?(k=!0,a.push(e?1:0)):e?a.push(g.isEven()?1:0):a.push(g.isEven()?0:1),m=m.over(2),g=g.over(2);d=[];for(e=0;e<b.length;e++)d.push(c(b[e],a[e]));for(c=bigInt(d.pop()).negate().times(bigInt(2).pow(d.length));d.length;)c=c.add(bigInt(d.pop()).times(bigInt(2).pow(d.length)));return c}function O(a){a=a.value;a="number"===typeof a?a|1073741824:a[0]+1E7*
-a[1]|1073758208;return a&-a}function Z(a,b){a=l(a);b=l(b);return a.greater(b)?a:b}function aa(a,b){a=l(a);b=l(b);return a.lesser(b)?a:b}function ba(a,b){a=l(a).abs();b=l(b).abs();if(a.equals(b))return a;if(a.isZero())return b;if(b.isZero())return a;for(var c=k[1],d;a.isEven()&&b.isEven();)d=Math.min(O(a),O(b)),a=a.divide(d),b=b.divide(d),c=c.multiply(d);for(;a.isEven();)a=a.divide(O(a));do{for(;b.isEven();)b=b.divide(O(b));a.greater(b)&&(d=b,b=a,a=d);b=b.subtract(a)}while(!b.isZero());return c.isUnit()?
-a:a.multiply(c)}function ca(a){a=a.value;"number"===typeof a&&(a=[a]);return 1===a.length&&35>=a[0]?"0123456789abcdefghijklmnopqrstuvwxyz".charAt(a[0]):"<"+a+">"}function da(a,b){b=bigInt(b);if(b.isZero()){if(a.isZero())return"0";throw Error("Cannot convert nonzero numbers to base 0.");}if(b.equals(-1))return a.isZero()?"0":a.isNegative()?Array(1-a).join("10"):"1"+Array(+a).join("01");var c="";a.isNegative()&&b.isPositive()&&(c="-",a=a.abs());if(b.equals(1))return a.isZero()?"0":c+Array(+a+1).join(1);
-for(var d=[],e=a,k;e.isNegative()||0<=e.compareAbs(b);)k=e.divmod(b),e=k.quotient,k=k.remainder,k.isNegative()&&(k=b.minus(k).abs(),e=e.next()),d.push(ca(k));d.push(ca(e));return c+d.reverse().join("")}function ea(a){if(w(+a)){var b=+a;if(b===B(b))return new e(b);throw"Invalid integer: "+a;}(b="-"===a[0])&&(a=a.slice(1));var c=a.split(/e/i);if(2<c.length)throw Error("Invalid integer: "+c.join("e"));if(2===c.length){a=c[1];"+"===a[0]&&(a=a.slice(1));a=+a;if(a!==B(a)||!w(a))throw Error("Invalid integer: "+
-a+" is not a valid exponent.");var c=c[0],n=c.indexOf(".");0<=n&&(a-=c.length-n-1,c=c.slice(0,n)+c.slice(n+1));if(0>a)throw Error("Cannot include negative exponent part for integers");a=c+=Array(a+1).join("0")}if(!/^([0-9][0-9]*)$/.test(a))throw Error("Invalid integer: "+a);for(var c=[],n=a.length,f=n-7;0<n;)c.push(+a.slice(f,n)),f-=7,0>f&&(f=0),n-=7;D(c);return new d(c,b)}function l(a){if("number"===typeof a){if(w(a)){if(a!==B(a))throw Error(a+" is not an integer.");a=new e(a)}else a=ea(a.toString());
-return a}return"string"===typeof a?ea(a):a}var P=z(9007199254740992),ga=Math.log(9007199254740992);d.prototype=Object.create(k.prototype);e.prototype=Object.create(k.prototype);d.prototype.add=function(a){a=l(a);if(this.sign!==a.sign)return this.subtract(a.negate());var b=this.value,c=a.value;return a.isSmall?new d(L(b,Math.abs(c)),this.sign):new d(F(b,c),this.sign)};d.prototype.plus=d.prototype.add;e.prototype.add=function(a){a=l(a);var b=this.value;if(0>b!==a.sign)return this.subtract(a.negate());
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-l(a);var b=this.value;if(0>b!==a.sign)return this.add(a.negate());var c=a.value;return a.isSmall?new e(b-c):M(c,Math.abs(b),0<=b)};e.prototype.minus=e.prototype.subtract;d.prototype.negate=function(){return new d(this.value,!this.sign)};e.prototype.negate=function(){var a=this.sign,b=new e(-this.value);b.sign=!a;return b};d.prototype.abs=function(){return new d(this.value,!1)};e.prototype.abs=function(){return new e(Math.abs(this.value))};d.prototype.multiply=function(a){var b=l(a);a=this.value;var c=
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-l(a);return a.isSmall?1:A(this.value,a.value)};e.prototype.compareAbs=function(a){a=l(a);var b=Math.abs(this.value),c=a.value;return a.isSmall?(c=Math.abs(c),b===c?0:b>c?1:-1):-1};d.prototype.compare=function(a){if(Infinity===a)return-1;if(-Infinity===a)return 1;a=l(a);return this.sign!==a.sign?a.sign?1:-1:a.isSmall?this.sign?-1:1:A(this.value,a.value)*(this.sign?-1:1)};d.prototype.compareTo=d.prototype.compare;e.prototype.compare=function(a){if(Infinity===a)return-1;if(-Infinity===a)return 1;a=l(a);
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-1)};e.prototype.isEven=function(){return 0===(this.value&1)};d.prototype.isOdd=function(){return 1===(this.value[0]&1)};e.prototype.isOdd=function(){return 1===(this.value&1)};d.prototype.isPositive=function(){return!this.sign};e.prototype.isPositive=function(){return 0<this.value};d.prototype.isNegative=function(){return this.sign};e.prototype.isNegative=function(){return 0>this.value};d.prototype.isUnit=function(){return!1};e.prototype.isUnit=function(){return 1===Math.abs(this.value)};d.prototype.isZero=
-function(){return!1};e.prototype.isZero=function(){return 0===this.value};d.prototype.isDivisibleBy=function(a){a=l(a);var b=a.value;return 0===b?!1:1===b?!0:2===b?this.isEven():this.mod(a).equals(k[0])};e.prototype.isDivisibleBy=d.prototype.isDivisibleBy;d.prototype.isPrime=function(){var a=X(this);if(a!==E)return a;for(var a=this.abs(),b=a.prev(),c=[2,3,5,7,11,13,17,19],d=b,e,l,g,h;d.isEven();)d=d.divide(2);for(g=0;g<c.length;g++)if(h=bigInt(c[g]).modPow(d,a),!h.equals(k[1])&&!h.equals(b)){l=!0;
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this.compare(e)<0},a.prototype.lt=a.prototype.lesser=u.prototype.lt=u.prototype.lesser,u.prototype.greaterOrEquals=function(e){return this.compare(e)>=0},a.prototype.geq=a.prototype.greaterOrEquals=u.prototype.geq=u.prototype.greaterOrEquals,u.prototype.lesserOrEquals=function(e){return this.compare(e)<=0},a.prototype.leq=a.prototype.lesserOrEquals=u.prototype.leq=u.prototype.lesserOrEquals,u.prototype.isEven=function(){return(this.value[0]&1)===0},a.prototype.isEven=function(){return(this.value&1)===0},u.prototype.isOdd=function(){return(this.value[0]&1)===1},a.prototype.isOdd=function(){return(this.value&1)===1},u.prototype.isPositive=function(){return!this.sign},a.prototype.isPositive=function(){return this.value>0},u.prototype.isNegative=function(){return this.sign},a.prototype.isNegative=function(){return this.value<0},u.prototype.isUnit=function(){return!1},a.prototype.isUnit=function(){return Math.abs(this.value)===1},u.prototype.isZero=function(){return!1},a.prototype.isZero=function(){return this.value===0},u.prototype.isDivisibleBy=function(e){var t=Y(e),n=t.value;return n===0?!1:n===1?!0:n===2?this.isEven():this.mod(t).equals(o[0])},a.prototype.isDivisibleBy=u.prototype.isDivisibleBy,u.prototype.isPrime=function(){var t=D(this);if(t!==e)return t;var n=this.abs(),r=n.prev(),i=[2,3,5,7,11,13,17,19],s=r,u,a,f,l;while(s.isEven())s=s.divide(2);for(f=0;f<i.length;f++){l=bigInt(i[f]).modPow(s,n);if(l.equals(o[1])||l.equals(r))continue;for(a=!0,u=s;a&&u.lesser(r);u=u.multiply(2))l=l.square().mod(n),l.equals(r)&&(a=!1);if(a)return!1}return!0},a.prototype.isPrime=u.prototype.isPrime,u.prototype.isProbablePrime=function(t){var n=D(this);if(n!==e)return n;var r=this.abs(),i=t===e?5:t;for(var s=0;s<i;s++){var o=bigInt.randBetween(2,r.minus(2));if(!o.modPow(r.prev(),r).isUnit())return!1}return!0},a.prototype.isProbablePrime=u.prototype.isProbablePrime,u.prototype.modInv=function(e){var t=bigInt.zero,n=bigInt.one,r=Y(e),i=this.abs(),s,o,u;while(!i.equals(bigInt.zero))s=r.divide(i),o=t,u=r,t=n,r=i,n=o.subtract(s.multiply(n)),i=u.subtract(s.multiply(i));return t.compare(0)===-1&&(t=t.add(e)),t},a.prototype.modInv=u.prototype.modInv,u.prototype.next=function(){var e=this.value;return this.sign?w(e,1,this.sign):new u(g(e,1),this.sign)},a.prototype.next=function(){var e=this.value;return e+1<r?new a(e+1):new u(i,!1)},u.prototype.prev=function(){var e=this.value;return this.sign?new u(g(e,1),!0):w(e,1,this.sign)},a.prototype.prev=function(){var e=this.value;return e-1>-r?new a(e-1):new u(i,!0)};var P=[1];while(P[P.length-1]<=t)P.push(2*P[P.length-1]);var H=P.length,B=P[H-1];u.prototype.shiftLeft=function(e){if(!j(e))throw new Error(String(e)+" is too large for shifting.");e=+e;if(e<0)return this.shiftRight(-e);var t=this;while(e>=H)t=t.multiply(B),e-=H-1;return t.multiply(P[e])},a.prototype.shiftLeft=u.prototype.shiftLeft,u.prototype.shiftRight=function(e){var t;if(!j(e))throw new Error(String(e)+" is too large for shifting.");e=+e;if(e<0)return this.shiftLeft(-e);var n=this;while(e>=H){if(n.isZero())return n;t=M(n,B),n=t[1].isNegative()?t[0].prev():t[0],e-=H-1}return t=M(n,P[e]),t[1].isNegative()?t[0].prev():t[0]},a.prototype.shiftRight=u.prototype.shiftRight,u.prototype.not=function(){return this.negate().prev()},a.prototype.not=u.prototype.not,u.prototype.and=function(e){return F(this,e,function(e,t){return e&t})},a.prototype.and=u.prototype.and,u.prototype.or=function(e){return F(this,e,function(e,t){return e|t})},a.prototype.or=u.prototype.or,u.prototype.xor=function(e){return F(this,e,function(e,t){return e^t})},a.prototype.xor=u.prototype.xor;var I=1<<30,q=(t&-t)*(t&-t)|I,$=function(e,t){var n=o[0],r=o[1],i=e.length;if(2<=t&&t<=36&&i<=s/Math.log(t))return new a(parseInt(e,t));t=Y(t);var u=[],f,l=e[0]==="-";for(f=l?1:0;f<e.length;f++){var c=e[f].toLowerCase(),h=c.charCodeAt(0);if(48<=h&&h<=57)u.push(Y(c));else if(97<=h&&h<=122)u.push(Y(c.charCodeAt(0)-87));else{if(c!=="<")throw new Error(c+" is not a valid character");var p=f;do f++;while(e[f]!==">");u.push(Y(e.slice(p+1,f)))}}u.reverse();for(f=0;f<u.length;f++)n=n.add(u[f].times(r)),r=r.times(t);return l?n.negate():n};u.prototype.toString=function(t){t===e&&(t=10);if(t!==10)return K(this,t);var n=this.value,r=n.length,i=String(n[--r]),s="0000000",o;while(--r>=0)o=String(n[r]),i+=s.slice(o.length)+o;var u=this.sign?"-":"";return u+i},a.prototype.toString=function(t){return t===e&&(t=10),t!=10?K(this,t):String(this.value)},u.prototype.valueOf=function(){return+this.toString()},u.prototype.toJSNumber=u.prototype.valueOf,a.prototype.valueOf=function(){return this.value},a.prototype.toJSNumber=a.prototype.valueOf;for(var Z=0;Z<1e3;Z++)o[Z]=new a(Z),Z>0&&(o[-Z]=new a(-Z));return o.one=o[1],o.zero=o[0],o.minusOne=o[-1],o.max=U,o.min=z,o.gcd=W,o.lcm=X,o.isInstance=function(e){return e instanceof u||e instanceof a},o.randBetween=V,o}();typeof module!="undefined"&&module.hasOwnProperty("exports")&&(module.exports=bigInt);

package.json

 {
   "name": "big-integer",
-  "version": "1.6.15",
+  "version": "1.6.16",
   "author": "Peter Olson <[e-mail]>",
@@ -5,0 +5,0 @@ "description": "An arbitrary length integer library for Javascript",

README.md

@@ -283,2 +283,9 @@ # BigInteger.js [![Build Status][travis-img]][travis-url] [![Coverage Status][coveralls-img]][coveralls-url] [![Monthly Downloads][downloads-img]][downloads-url]
 
+#### `modInv(mod)`
+
+Finds the [multiplicative inverse](https://en.wikipedia.org/wiki/Modular_multiplicative_inverse) of the number modulo `mod`.
+
+ - `bigInt(3).modInv(11)` => `4`
+ - `bigInt(42).modInv(2017)` => `1969`
+
 #### `modPow(exp, mod)`
@@ -285,0 +292,0 @@

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Total package byte prevSize

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Number of package files

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increased by20%

Number of lines in readme file

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increased by1.38%

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Lines of code

1150

decreased by-1.46%

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