Es kann nur 1 geben!


44

Ihre Aufgabe ist es, bei einer positiven Ganzzahl neinen Ausdruck zu generieren, der der Zahl entspricht n.

Der Haken ist: Du darfst nur die Nummer 1in der Ausgabe.

Die zur Verfügung stehenden Betreiber sind:

  • +, -, *Und/
    • /ist Gleitkommadivision (so 5/2 = 2.5).
  • sqrt(als s)
  • ceilund floor(wie cund fjeweils)
  • ! (Fakultät)
    • Die Fakultät funktioniert in diesem Fall nur für positive ganze Zahlen.

Du darfst auch 1s zusammen stapeln , so dass so etwas 11in der Ausgabe akzeptabel ist. Sie zählen jedoch als die gleiche Anzahl von 1's, die in der Zahl enthalten ist ( 11zählt also als 2 1' s).

Sie müssen auch Klammern in die Ausgabe einschließen, damit der Ausdruck in der Ausgabe, wenn er in der Reihenfolge der Operationen ausgeführt wird, zur Eingabe führt. Sie gelten jedoch nicht als Operationen.

Beispiele:

  • Eingabe = 24, eine mögliche Ausgabe = (1+1+1+1)!
  • Eingabe = 11, eine mögliche Ausgabe = 11
  • Eingabe = 5, eine mögliche Ausgabe = c(s((1+1+1+1)!))
    • Die Decke der Quadratwurzel von 24ist 5.

Regeln:

  • Es ist garantiert, dass die Eingabe eine positive ganze Zahl von 1bis ist 2^31-1.
  • Ihr Programm muss für jede positive ganze Zahl bis zu arbeiten 2^31-1, auch wenn sie nicht getestet werden.
  • Ihr Programm muss in 1 Stunde alle Ausgaben für alle Nummern im Satz verarbeiten.
  • Die Ergebnisse für jeden Programmlauf müssen exakt gleich sein - auch keine Startwerte.
  • Sie dürfen die Ausdrücke nur für maximal 10 numerische Werte fest codieren.
  • Es ist nicht erlaubt, imaginäre Zahlen irgendwo in der Ausgabe zu haben (also nein s(some negative number)).
  • Es ist auch nicht erlaubt, dass Zahlen größer 2^31-1oder kleiner als -2^31+1irgendwo in der Ausgabe sind, selbst wenn sie sqrtbearbeitet oder /bearbeitet werden (also nein (((1+1+1)!)!)!oder ((1+1+1+1)!)!).

Reihe von Zahlen:

945536, 16878234, 32608778, 42017515, 48950830, 51483452, 52970263, 54278649, 63636656, 78817406, 89918907, 90757642, 95364861, 102706605, 113965374, 122448605, 126594161, 148064959, 150735075, 154382918, 172057472, 192280850, 194713795, 207721209, 220946392, 225230299, 227043979, 241011012, 248906099, 249796314, 250546528, 258452706, 276862988, 277140688, 280158490, 286074562, 308946627, 310972897, 322612091, 324445400, 336060042, 346729632, 349428326, 352769482, 363039453, 363851029, 392168304, 401975104, 407890409, 407971913, 425780757, 459441559, 465592122, 475898732, 482826596, 484263150, 506235403, 548951531, 554295842, 580536366, 587051904, 588265985, 588298051, 590968352, 601194306, 607771869, 618578932, 626776380, 667919873, 681786366, 689854904, 692055400, 697665495, 711608194, 734027104, 750869335, 757710567, 759967747, 777616154, 830071127, 833809927, 835873060, 836438554, 836945593, 863728236, 864158514, 871273503, 881615667, 891619600, 897181691, 918159061, 920521050, 924502226, 929983535, 943162304, 950210939, 950214176, 962610357, 974842859, 988572832

(Dies sind 100 Zufallszahlen von 1 bis 1 Milliarde.)

Punktesystem:

Ihre Punktzahl wird folgendermaßen ermittelt:

  • Ihr Programm wird anhand der Zufallszahlen im Set getestet.
    • Sie müssen die mit den Zufallszahlen im Set generierte Ausgabe bereitstellen (entweder in Ihrer Antwort oder als Pastebin-Link).
  • Sie haben dann zwei "Punkte": einen primären Punktestand und einen sekundären Punktestand.
    • Ihre primäre Punktzahl ist (no. of 1's in output)*(no. of operators in output). Wenn Ihre primäre Punktzahl die niedrigste ist, gewinnen Sie.
    • Ihre sekundäre Punktzahl ist der Zeitpunkt Ihres Uploads in GMT und in 24-Stunden-Zeit. Wenn Sie also Ihr Programm am 12. September um 00:00 Uhr (GMT) hochladen, lautet Ihre Punktzahl 12/09/2016, 00:00( DD/MM/YYYY HH:MMfür die Formatierung verwenden).

Zeigen Sie Ihre Punktzahl wie folgt an:

(language name)
Primary Score = (primary score)
Secondary Score = (secondary score)
(no. of 1's) `1`'s, (no. of operators) operators

Ersetzen Sie alle Angaben in den Klammern durch den Namen Ihrer Sprache, die primäre Punktzahl bzw. die sekundäre Punktzahl.

Aktueller Gewinner:

Der aktuelle Gewinner ist @ChrisJefferson, der eine primäre Punktzahl von hat 3,810,660.


6
Beratung ist keine Regel, aber dies ist ein ziemlich gutes Argument dafür, warum Golf als Tie Breaker problematisch ist. Tut mir leid, dass ich das nicht im Sandkasten gesehen habe ...
trichoplax

2
Verwandte math.SE Frage .
Xnor

3
Ich stimme mit Trichoplax überein, dass der Tiebreaker die Antwort sein sollte, um früher seine kürzeste Punktzahl zu erreichen.
ETHproductions

1
@ JonathanAllan Klammern sind keine Operationen, aber erforderlich.
Clismique

1
Sie können die Geschichte der Antworten durchsehen und sehen, welche zuerst ihre endgültige Punktzahl erreicht hat.
ETHproductions

Antworten:


25

C ++ 11

Weiteres kleines Update: Füge viel weniger hinzu und probiere alle Zahlen von Form A * B + C. Ich glaube , dass innerhalb der Frist, dies zu optimalen ziemlich nahe ist, vorausgesetzt , Sie nur verwenden +, *und !. Ich überlasse anderen Betreibern mehr Zeit als mir!

Kleines Update: Versuchen Sie mehr, Fakultäten und Zahlen wie 11 ... 111 zu verwenden. Außerdem wurde ein Fehler behoben, den ich !in meiner Kalkulation nicht berücksichtigt hatte

Neues Ergebnis:

Primary Score = 3.810.660

Sekundäres Ergebnis = 12.09.2016 20:00

2532 1s, 1505 Bediener.

Verschiedene Tricks zusammengestellt. Mein Programm beginnt mit der Einstellung des kürzesten Programms für alle Fakultäten und Zahlen der Form 111..111 (ich glaube nicht, dass dies gegen die Festverdrahtungsregel verstößt, da dies die kürzesten Möglichkeiten sind, diese Zahlen zu erstellen. Ich könnte sie neu anordnen mein Code, damit ich diese Muster in meiner dynamischen Programmierung überprüfe, wenn Sie wollen). Führen Sie dann einen partiellen dynamischen Programmieransatz aus, indem Sie verschiedene Formen ausprobieren:

  • A + B
  • A * B + C
  • EIN! + B
  • 11 .... 11 + B

Leider kann ich nicht alle Arten der Zerlegung einer Zahl ausprobieren, daher wähle ich Fakultät und 11 ... 11, um nur die nächste Zahl auszuprobieren, für A + B, um Dinge in der Nähe von A / 2 auszuprobieren, und für A * B + C nur ganz klein zu probieren.

Es wäre einfach, dies zu erweitern, um einige zu versuchen, indem man versucht, manchmal ein wenig zu überschießen (insbesondere in A * B - C), aber ich mag es, nur zu versuchen, zu wachsen.

Außerdem ist es sehr schwierig, die Optimierungsbedingung zu optimieren (das gefällt mir nicht!), Da Sie im Prinzip nicht für jede einzelne Zahl den besten Wert ermitteln können. Sie müssen Ihre Antworten global berücksichtigen (was ich nicht vorhabe).

Warnung: Dieses Programm benötigt eine 64-Bit-Maschine und ungefähr 10 GB Speicher (da ich ineffizient ein riesiges Array für alle teilweise berechneten Ergebnisse erstelle).

Programm:

#include <algorithm>
#include <vector>
#include <string>
#include <assert.h>
#include <iostream>
#include <cmath>

std::vector<int> numints;
std::vector<int> numops;
std::vector<std::string> strings;


void fill_all_ones(long maxval)
{
    int val = 1;
    int len = 1;
    std::string name = "1";
    while(val < maxval) {
        val = val * 10 + 1;
        len++;
        name = name + "1";
        numints[val] = len;
        strings[val] = name;
    }
}


void get_best_for_next_full(long i);
// let's just assume this is the best way to make factorials
void fill_all_factorials(long maxval)
{
    // skip 1 and 2
    long result = 6;
    long val = 3;
    while(result < maxval) {
        get_best_for_next_full(val);
        strings[result] = "(" + strings[val] + ")!";
        numints[result] = numints[val];
        numops[result] = numops[val] + 1;
        val++;
        result = result * val;
    }
}

long get_nearest_all_ones(long i)
{
    int val = 11;
    int prevval = 1;
    while(val < i) {
        prevval = val;
        val = val * 10 + 1;
    }
    return prevval;
}

long get_nearest_factorial(long i)
{
    int val = 6;
    int prevval = 2;
    int step = 3;
    while(val < i) {
        prevval = val;
        step++;
        val = val * step;
    }
    return prevval;
}

int getlen(long i);

void get_best_for_next_full(long i)
{
    if(numints[i] > 0)
        return;

    int best = INT_MAX; // we'll do better than this
    std::string beststring = "invalid2";
    int ones = -1;
    int ops = -1;
    for(long loop = 1; loop <= i/2; loop++)
    {
        int new_val = getlen(loop) + getlen(i - loop);
        if(new_val < best) {
            best = new_val;
            ones = numints[loop] + numints[i - loop];
            beststring = "(" + strings[loop] + "+" + strings[i - loop] + ")";
            ops = numops[loop] + numops[i - loop] + 1;
        }
    }

    for(long loop = 2; loop * loop <= i; loop++)
    {
        long divisor = i / loop;
        long rem = i - loop*divisor;
        assert(rem >= 0);
        int new_val;
        if(rem == 0)
        {
            new_val = getlen(divisor) + getlen(loop);
        }
        else
        {
            new_val = getlen(divisor) + getlen(rem) + getlen(loop);
        }

        if(new_val < best) {
            best = new_val;
            if(rem == 0) {
                ones = numints[divisor] + numints[loop];
                beststring = "(" + strings[divisor] + "*" + strings[loop] + ")";
                ops = numops[divisor] + numops[loop] + 1;
            } else {
                ones = numints[divisor] + numints[loop] + numints[rem];
                beststring = "(" + strings[divisor] + "*" + strings[loop] + "+" + strings[rem] + ")";
                ops = numops[divisor] + numops[loop] + numops[rem] + 2;
            }
        }
    }

    numints[i] = ones;
    strings[i] = beststring;
    numops[i] = ops;
}


void check_divising(const long i, const long loop, long& best, long& ones, std::string& beststring, long& ops);
void check_adding(const long i, const long loop, long& best, long& ones, std::string& beststring, long& ops);

void get_best_for_next_partial(long i)
{
    if(numints[i] > 0)
        return;

    long best = INT_MAX; // we'll do better than this
    long ones = 1;
    std::string beststring = "invalid";
    long ops = 1;

    // Special: Try a nearby all ones
    {
        long loop = get_nearest_all_ones(i);
        check_adding(i, loop, best, ones, beststring, ops);
    }

    // Special: Try nearest factorial
    {
        long loop = get_nearest_factorial(i);
        check_adding(i, loop, best, ones, beststring, ops);
    }

    for(long loop = 2; loop * loop <= i; loop++)
    {
       check_divising(i, loop, best, ones, beststring, ops);
    }


    numints[i] = ones;
    strings[i] = beststring;
    numops[i] = ops;
}

void check_adding(const long i, const long loop, long& best, long& ones, std::string& beststring, long& ops)
{
    int new_val = getlen(loop) + getlen(i - loop);
    if(new_val < best) {
        best = new_val;
        ones = numints[loop] + numints[i - loop];
        beststring = "(" + strings[loop] + "+" + strings[i - loop] + ")";
            ops = numops[loop] + numops[i - loop] + 1;
    }
}

void check_divising(const long i, const long loop, long& best, long& ones, std::string& beststring, long& ops)
{ 
    long divisor = i / loop;
    long rem = i - loop*divisor;
    assert(rem >= 0);
    int new_val;
    if(rem == 0)
    {
        new_val = getlen(divisor) + getlen(loop);
    }
    else
    {
        new_val = getlen(divisor) + getlen(rem) + getlen(loop);
    }

    if(new_val < best) {
        best = new_val;
        if(rem == 0) {
            ones = numints[divisor] + numints[loop];
            beststring = "(" + strings[divisor] + "*" + strings[loop] + ")";
            ops = numops[divisor] + numops[loop] + 1;
        }
        else {
            ones = numints[divisor] + numints[loop] + numints[rem];
            beststring = "(" + strings[divisor] + "*" + strings[loop] + "+" + strings[rem] + ")";
            ops = numops[divisor] + numops[loop] + numops[rem] + 2;
        }
    }
}

long count = 0;
long countops = 0;

const int little_cutoff = 200000;

int getlen(long i)
{
    if(numints[i] == 0) {
        if(i < little_cutoff)
            get_best_for_next_full(i);
        else
            get_best_for_next_partial(i);
    }
    if(numints[i] == 0) {
        std::cout << i << " failure!" << numops[i] << ":" << strings[i] << std::endl;
        exit(1);
    }

    return numints[i] + numops[i];
}

const std::vector<long> vals = {945536, 16878234, 32608778, 42017515, 48950830, 51483452, 52970263, 54278649, 63636656, 78817406, 89918907, 90757642, 95364861, 102706605, 113965374, 122448605, 126594161, 148064959, 150735075, 154382918, 172057472, 192280850, 194713795, 207721209, 220946392, 225230299, 227043979, 241011012, 248906099, 249796314, 250546528, 258452706, 276862988, 277140688, 280158490, 286074562, 308946627, 310972897, 322612091, 324445400, 336060042, 346729632, 349428326, 352769482, 363039453, 363851029, 392168304, 401975104, 407890409, 407971913, 425780757, 459441559, 465592122, 475898732, 482826596, 484263150, 506235403, 548951531, 554295842, 580536366, 587051904, 588265985, 588298051, 590968352, 601194306, 607771869, 618578932, 626776380, 667919873, 681786366, 689854904, 692055400, 697665495, 711608194, 734027104, 750869335, 757710567, 759967747, 777616154, 830071127, 833809927, 835873060, 836438554, 836945593, 863728236, 864158514, 871273503, 881615667, 891619600, 897181691, 918159061, 920521050, 924502226, 929983535, 943162304, 950210939, 950214176, 962610357, 974842859, 988572832};

const long biggest = 988572832;



int main(void)
{
    numints.push_back(2);
    strings.push_back("(1-1)");
    numops.push_back(1);

    numints.push_back(1);
    strings.push_back("1");
    numops.push_back(0);

    numints.push_back(2);
    strings.push_back("(1+1)");
    numops.push_back(1);

    numints.resize(biggest + 1);
    strings.resize(biggest + 1);
    numops.resize(biggest + 1);

    fill_all_ones(biggest);
    fill_all_factorials(biggest);

    for(long i = 0; i < little_cutoff; ++i)
        get_best_for_next_full(i);




    for(long v : vals) {
        get_best_for_next_partial(v);
        std::cout << v << ":" << strings[v] << "\n";
        count += numints[v];
        countops += numops[v];

    }

    std::cout << count << ":" << countops << ":" << count * countops << "\n";

}

Ergebnisse:

945536:((1111*(1+(11+11))+(1+1))*((1+11)*(1+(1+1))+1)+1)
16878234:(((1+(1+1111))*(1+(1+(1+111)))+(11+11))*((1+11)*11+1)+(1+1))
32608778:((((((1+(1+1)))!+(111+11111))*(11*11)+111)*(1+11)+1)*(1+1))
42017515:((11)!+((((1+111)*11)*11+1)*((1+11)*(1+11)+11)))
48950830:((((11+11)*(1+11))+(11111*(1+(1+1))))*((1+111)*(1+(1+11))+1)+1)
51483452:(((1+(1+1111))*(1+111)+1)*(11+(((1+11)*11+(1+1))*(1+(1+1))))+111)
52970263:((11+((1111*11+(1+(1+1)))*(1+(1+1))))*(111*(1+(1+11))+1)+11)
54278649:((11)!+(((1+(11+(11+(11+1111))))*111+1)*(1+(1+111))+1))
63636656:((((11+111)*(1+(1+1)))*(1+111)+11)*(1+(111+((((1+(1+1)))!)!*(1+1)))))
78817406:(((((111*(11+11)+1)*(1+1))*(1+111)+111)*(1+11)+1)*(1+11)+(1+1))
89918907:(((111+((1+(1+((1+(1+1)))!)))!)*(1+1))*(1+1111)+((11*11)*(1+(1+1))))
90757642:((1111+((11+11111)*(1+1)))*(111*(11+((1+(1+(1+1))))!)+1)+(1+111))
95364861:((11)!+(((((((11+11)*11)+11111)*111)*11+(1+1))*(1+1))*(1+1)+1))
102706605:(((11)!+(((111+((11*11)*11))*(1+(((1+(1+1)))!)!))*11))*(1+1)+1)
113965374:((((111*(1+(1+(1+11))))*1111+((1+(11+11))*11+1))*11+1)*((1+(1+1)))!)
122448605:(((((1+(1+1)))!)!+((111*11)*11))*((1+(((1+(1+1)))!)!)*(1+11)+1)+(1+1))
126594161:(((((11*11)+(((1+(1+1)))!)!)*(1+111))*(1+11)+1)*(1+111)+1)
148064959:((11)!+(((111*111+(1+11))*111+1)*((1+(1+11))*((1+(1+1)))!+1)+(1+(1+1))))
150735075:(((111*111+(1+1))*(1+1111)+(1+11))*11+(1+((1+(1+1)))!))
154382918:((1111*(1+11)+1)*(((1+(11+(111+111)))*(1+1))+11111)+111)
172057472:((((((1+11)*11)*11+1)*(1+(1+1)))+11111)*(11+11111)+((1+11)*11))
192280850:(((11111*(1+11)+11)*(1+(((1+(1+1)))!)!)+(11+111))*(1+1))
194713795:((11)!+((((111+11111)*(1+(1+(1+111)))+((1+(1+1)))!)*11)*11+1))
207721209:(((111*111)*(1+(11+11))+(1+1))*(1+(1+(11+(((1+(1+1)))!)!)))+(1+(1+(1+1))))
220946392:((11)!+((((1+(1+(1+1111)))*(11+111))*111+11)*(1+11)+(1+(1+(1+1)))))
225230299:((111111111+((111*111+(1+((1+(1+1)))!))*(11+111)+(11+11)))*(1+1)+1)
227043979:((((((11+11)*11)+11111)*(1+(1+1))+1)*1111+(1+(1+1)))*((1+(1+1)))!+1)
241011012:(((11)!+((11)!+((11)!+((11+1111)*((1+111)*((1+(1+1)))!+1)))))*(1+1))
248906099:(((11111+(((((1+(1+1)))!)!*111)*(1+1)))*(1+111)+111)*(1+(1+11)))
249796314:(((11)!+(((((1+(1+1)))!)!+((1+1111)*(1+11)))*(11+111)+111))*((1+(1+1)))!)
250546528:((11)!+(((111*111)*(1+(1+(1+11)))+11)*(111*11)+(1+(11+1111))))
258452706:(((11)!+(((((1+(1+1)))!)!*((1+(1+1)))!+1)*(11+(((1+(1+1)))!)!)))*((1+(1+1)))!)
276862988:(((11+(1111*(1+1)))*(((1+(1+1)))!+1111))*111+(((1+(1+1)))!+11))
277140688:(((111*111+(1+(1+(1+(1+11)))))*(1+1))*(11+(111+11111))+(1+111))
280158490:((11)!+(((1+(111+111111))*(((1+(1+1)))!)!+(1+(1+1)))*(1+(1+1))+1))
286074562:(((11)!+((((11+1111)*(11+11))*(1+1)+1)*(1+(11+1111))))*(1+(1+1))+1)
308946627:((11)!+((((1+1111)*(((1+(1+1)))!)!+((11+11)*(1+1)))*(1+111)+1)*(1+(1+1))))
310972897:((11111*(1+(1+1))+1)*(((1111+(111*11))*(1+1))*(1+1)+1)+11)
322612091:((((((1+11)*(1+11))*(1+11)+(1+1))*111+1)*(1+111))*(1+(1+(1+(1+11))))+11)
324445400:(((1111111+(1+(1+1)))*(1+1))*((1+11)*(1+11)+(1+1))+(1+111))
336060042:(((1+1111)*(1+(11+111))+(1+111))*(11+((111*11+1)*(1+1)))+(1+1))
346729632:(((1+(1+(11111+(111*111))))*((1+111)*11+1)+(1+(1+(1+11))))*(1+11))
349428326:(((((11+11)*11)*11+1)*(1+1111)+1)*(1+(((1+(1+1)))!+111)))
352769482:(((1+11111)*(111*(11+11))+((11+111)*((1+1)*(1+1)+1)))*(1+(1+11)))
363039453:(((((1+111)*(1+111)+1)*(1+1))*(1+(1+11))+11)*(1+(1+1111)))
363851029:((((111*11+1)*1111+11)*((1+11)*11+(1+1))+(1+11))*(1+1)+1)
392168304:(((((1+(1+1111))*(1+111))*11+1)*(1+(1+11))+11)*(11+11))
401975104:(((((1+11)*(1+11)+1)*111)*111+11)*((1+111)*(1+1)+1)+(1+(1+(1+1))))
407890409:(((1+11111)*11)*((1+1111)*(1+(1+1))+1)+((1+1111)*(1+1)+1))
407971913:((11)!+((11)!+(((1+(1+11111))*(1+1)+1)*(((11+111)*11)*11+1)+(1+1111))))
425780757:(((1111+((((1+11)*11)+11111)*(1+(1+1))))*11+1)*1111+((1+(1+1)))!)
459441559:(((11111+(((1+(1+111))*(1+1)+1)*111))*111+1)*(1+(1+(1+111)))+(1+(1+11)))
465592122:(((11)!+((((1111*(11*(1+(1+1))+1)+1)*(1+(11+11)))*(1+1)+1)*111))*(1+1))
475898732:(((11)!+(((((1+111)*11+(1+1))*(1+11))*(1+1)+1)*(1+(1+111))))*11+1)
482826596:(((1+(((111*11)*11)+(11111*(1+1))))*111+1)*(11+111)+((1+(1+1)))!)
484263150:(((111*111+(1+(1+1)))*111+11)*(1+(111+((11+11)*11))))
506235403:(((1+11))!+((((1+(1+1111))*(1+1111)+((11+111)*(1+1)))*11+1)*(1+1)+1))
548951531:((((111+111)*(1+1)+1)*111+11)*11111+((11+111)*(1+11)+1))
554295842:(((1+11))!+((((1+1111)*111+1)*((1+1)*(1+1)+1))*(11+111)+(1+111)))
580536366:(((1+(111+((111*111+11)*(1+11))))*(1+111)+1)*(11+((1+(1+(1+1))))!)+11)
587051904:(((((1+1111)*(1+11))*(1+(1+1))+1)*(111*11+1)+(111*((1+(1+1)))!))*(1+11))
588265985:(((1+11))!+((1+(111+(1111*(1+(1+11)))))*((1+111)*(11*((1+(1+1)))!+1)+(1+(1+1)))))
588298051:((((((11+111)*11)*11)+(11111*(1+(1+1))))*(1+1111)+1)*11)
590968352:(((((((1+(1+1)))!)!+11111)*111+(11+11))*((1+111)*(1+1)+1)+1)*(1+1))
601194306:((((1111*(1+(1+(1+(11+111))))+1)*111+(1+1))*(1+(1+1))+1)*(1+(1+11))+11)
607771869:(((1+11))!+(((11)!+(((1111*11+1)*(1+1))*(1+(11+111))+11))*(1+(1+1))))
618578932:(((((1111*111)*11+1)*(1+1)+1)*(1+1))*(1+(1+(1+111)))+(1+111))
626776380:((((1+(1+(1+1))))!+((((1+(1+1)))!)!+(1111*111)))*(1+(11+((1+((1+(1+1)))!))!)))
667919873:((((((1+(11+111))*11+1)*111+(1+(1+1)))*1111+1)*(1+1))*(1+1)+1)
681786366:(((1+11))!+((11)!+(((11)!+((11)!+((1+(1+11111))*((1+11)*(1+11))+111)))*(1+1))))
689854904:(((11+((11111+((1+1111)*11))*(1+1)))*((11+111)*11+1)+11)*11+(1+1))
692055400:(((1+11))!+(((((1+(1+111))*(1+(1+(1+11))))*11)*11+1)*(1+(1+1111))+1))
697665495:(((1+11))!+(((((((1+(1+1)))!)!*(1+(1+(1+111)))+1)*(1+11))*(1+1)+1)*111))
711608194:(((11)!+(((1+(1+(1+(1+1111))))*(11+((11+111)*(1+1)))+(1+1))*1111))*(1+1))
734027104:(((111*(11+((1+(1+(1+1))))!)+1)*(((1+(1+1)))!+11)+1)*11111+1111)
750869335:((11111111+((1+(((1+(1+1)))!)!)*((1+11)*11+1)+1))*(11*((1+(1+1)))!+1))
757710567:((((((11+111)*11)+111111)*(1+(1+1))+1)*(1+(11+1111))+(1+(1+1)))*(1+1)+1)
759967747:(((11)!+(((1+(1+(111+11111)))*(1+(1+111)))*(1+(11+11))+1))*11)
777616154:((11111*(111+(((111*11+1)*(1+1))*(1+1)))+(11+111))*(1+(1+(1+11))))
830071127:((((1+111)*111)*((1+(1+1)))!+1)*(((1+(1+1)))!+(11+11111))+(111*(1+1)+1))
833809927:((((11+1111)*(1+1)+1)*111+1)*(1+(1+(11+(1111*(1+(1+1))))))+111)
835873060:(((((11+(111+111))*111+1)*(1+(1+111))+1)*(1+(1+11))+1)*(11+11))
836438554:(((1+11))!+(((11111*(1+1)+1)*((11+(((1+(1+1)))!)!)*11+1)+1111)*(1+1)))
836945593:(((1111*1111+(1+111))*(1+(1+111))+(1+(1+1)))*((1+(1+1)))!+1)
863728236:(((1+(1111+((11+11111)*(1+1))))*(111*111+((1+(1+1)))!))*(1+(1+1)))
864158514:(((1+11))!+(((1111*(1+(1+(1+11)))+((1+(1+1)))!)*111+1)*(111*(1+1)+1)+11))
871273503:((((1+11111)*(11+11)+1)*((1+(1+11))*(1+1)+1)+1)*((1+11)*11)+111)
881615667:((11111+((111*111+11)*(1+1)))*((111*111)*(1+1)+1)+((11+1111)*11))
891619600:(((11)!+((11)!+((((1+(11+11))*(1+1))+111111)*11)))*11+(1+(1+1)))
897181691:((11+(11+(11+((1+(1+((1+(1+1)))!)))!)))*(11+(11111*(1+1)))+((111*11+1)*11))
918159061:(((11)!+(((11+11)*11+1)*(1+(1+11))))*(1+(11+11))+(1+(1+(1+1))))
920521050:(((11)!+((((1+(11+1111))*(1+(1+(1+1111))))*(1+111)+111)*(1+(1+1))))*(1+1))
924502226:((((1111*(1+11))*(1+1)+1)*((111*(1+11)+1)*(1+1)+1))*(1+(1+11))+11)
929983535:(((11)!+((((11+111)*111+1)*111)*((1+11)*(1+1)+1)+(1+1)))*(1+11)+11)
943162304:(((11)!+((((((1+((1+(1+1)))!))!+(111*111))*111+(1+1))*(1+111))*(1+1)))*(1+1))
950210939:(((11+(111+11111))*(1+(1+(1+(((1+(1+1)))!)!)))+(1+1))*(((1+(1+1)))!+111)+(1+1))
950214176:(((11)!+((((111*111)*(1+(1+11)))*11+1)*((1+(11+111))*(1+1)+1)))*(1+1))
962610357:((((1+11))!+((1+((((1+(1+1)))!)!+(111*(1+11))))*(11+1111)+(1+111)))*(1+1)+1)
974842859:((((((11*(1+((1+(1+1)))!))+1111)*11+1)*(1+111))*((1+(1+1)))!)*111+11)
988572832:(((111111111+((11111*(1+(1+1111))+11)*11+(1+(1+1))))*(1+1))*(1+1))

Scheint, als hättest du die 225 nicht gezählt !. Ich denke, das sind 1632 Operatoren, nicht 1407. (Das führt jedoch immer noch zu einem tollen Ergebnis.)
Arnauld

Woops, in der Tat, ich habe eine '1' bei der Berechnung der Fakultätsfunktionen verpasst. Überraschenderweise (für mich) ist eine Korrektur, die für die von mir generierten Ausdrücke fast keinen Unterschied macht, wahrscheinlich, weil Fakultäten im Allgemeinen so groß sind, dass sie, wenn sie einen mehr kosten, immer noch die beste Wahl sind.
Chris Jefferson

long maxval murren murren
Stan Strum

7

Haskell

Primäre Punktzahl: 27242281

Sekundäre Punktzahl: 12/09/2016 09:01

11891 1, 2291 Betreiber

import Data.List


nums = iterate (\x -> x*10+1) 1

g n | n > a = show a ++ "+(" ++ g (n-a) ++ ")"
    | n < a = show a ++ "-(" ++ g (a-n) ++ ")"
    | otherwise = show a
 where a = minimumBy (\x y -> compare (abs$x-n) (abs$y-n))
         . take 2 . reverse
         $ takeWhile (<=n*10) nums

Es findet im Grunde den kürzesten Weg, um es mit nur + und - zu machen

Ausgabe:

945536: 1111111-(111111+(11111+(11111+(11111+(11111+(11111-(1111-(11+(11-(1+(1)))))))))))
16878234: 11111111+(1111111+(1111111+(1111111+(1111111+(1111111+(111111+(111111-(11111-(111+(111+(111+(111+(11+(1+(1)))))))))))))))
32608778: 11111111+(11111111+(11111111-(1111111-(111111+(111111+(111111+(11111+(11111+(11111+(11111+(11111-(1111+(1111+(111-(1)))))))))))))))
42017515: 11111111+(11111111+(11111111+(11111111-(1111111+(1111111+(111111+(111111-(11111+(11111-(1111+(1111+(1111+(1111+(111+(111+(11+(11+(11+(11-(1+(1+(1))))))))))))))))))))))
48950830: 11111111+(11111111+(11111111+(11111111+(1111111+(1111111+(1111111+(1111111+(111111-(11111+(11111+(11111+(11111+(1111+(1111+(1111+(1111+(111+(111+(11+(11+(11+(11+(11+(1+(1+(1+(1)))))))))))))))))))))))))))
51483452: 11111111+(11111111+(11111111+(11111111+(11111111-(1111111+(1111111+(1111111+(1111111-(111111+(111111+(111111+(11111+(11111+(11111+(1111+(1111+(1111+(1111+(1111+(111+(11-(1+(1)))))))))))))))))))))))
52970263: 11111111+(11111111+(11111111+(11111111+(11111111-(1111111+(1111111+(111111+(111111+(111111+(11111+(11111+(11111-(1111+(1111+(1111+(111+(111+(11+(11+(11+(11-(1+(1+(1))))))))))))))))))))))))
54278649: 11111111+(11111111+(11111111+(11111111+(11111111-(1111111+(111111+(11111+(11111+(11111+(11111+(11111-(1111-(111+(111+(11+(11-(1+(1+(1+(1))))))))))))))))))))
63636656: 111111111-(11111111+(11111111+(11111111+(11111111+(1111111+(1111111+(1111111-(111111+(111111+(111111-(11111+(11111+(11111-(1111+(1111+(1111-(11)))))))))))))))))
78817406: 111111111-(11111111+(11111111+(11111111-(1111111-(111111-(11111+(11111+(11111+(11111-(1111+(1111+(1111+(1111+(111+(111+(111+(11+(11+(11+(11-(1+(1+(1+(1+(1)))))))))))))))))))))))))
89918907: 111111111-(11111111+(11111111-(1111111-(111111-(11111+(11111+(11111-(1111+(1111+(1111-(11+(11-(1+(1+(1+(1))))))))))))))))
90757642: 111111111-(11111111+(11111111-(1111111+(1111111-(111111+(111111+(111111+(11111+(11111-(1111+(1111-(111+(11+(11+(1+(1+(1)))))))))))))))))
95364861: 111111111-(11111111+(1111111+(1111111+(1111111+(1111111+(111111+(111111-(11111+(11111+(11111-(1111+(1111-(111+(111+(111+(111-(11+(11+(11-(1+(1+(1+(1+(1))))))))))))))))))))))))
102706605: 111111111-(11111111-(1111111+(1111111+(111111+(111111+(111111+(111111+(11111+(11111+(11111+(11111-(1111+(1111+(1111+(1111+(111-(11+(11+(11+(11+(11-(1+(1+(1+(1+(1))))))))))))))))))))))))))
113965374: 111111111+(1111111+(1111111+(1111111-(111111+(111111+(111111+(111111+(11111+(11111+(11111+(1111+(111+(111-(11+(11+(11+(11-(1+(1+(1+(1)))))))))))))))))))))
122448605: 111111111+(11111111+(111111+(111111+(1111+(1111+(1111+(1111-(111+(111+(111-(11+(11+(11+(11+(11-(1+(1+(1+(1+(1))))))))))))))))))))
126594161: 111111111+(11111111+(1111111+(1111111+(1111111+(1111111-(111111-(11111+(11111+(11111+(1111+(1111+(1111+(1111+(1111-(111+(111+(11+(11+(11+(11+(11+(1+(1+(1+(1+(1))))))))))))))))))))))))))
148064959: 111111111+(11111111+(11111111+(11111111+(1111111+(1111111+(1111111+(111111+(111111+(111111-(11111+(11111+(11111+(11111+(1111+(111+(111+(111+(111+(111+(11+(11+(11+(11-(1+(1+(1))))))))))))))))))))))))))
150735075: 111111111+(11111111+(11111111+(11111111+(11111111-(1111111+(1111111+(1111111+(1111111+(111111+(111111+(111111+(11111+(11111+(11111+(11111-(1111+(1111-(111+(111+(111+(111+(11+(11+(11+(1+(1+(1+(1))))))))))))))))))))))))))))
154382918: 111111111+(11111111+(11111111+(11111111+(11111111-(1111111+(111111-(11111+(11111+(11111+(11111+(1111+(1111+(1111+(1111+(1111-(111+(111+(111+(111-(11+(11+(11-(1+(1+(1)))))))))))))))))))))))))
172057472: 111111111+(11111111+(11111111+(11111111+(11111111+(11111111+(1111111+(1111111+(1111111+(1111111+(1111111-(111111+(11111+(11111+(11111+(11111+(11111-(1111+(1111-(111+(111+(111-(11+(11+(11-(1+(1+(1+(1+(1)))))))))))))))))))))))))))))
192280850: 111111111+(111111111-(11111111+(11111111+(11111111-(1111111+(1111111+(1111111+(11111+(11111+(11111+(11111+(11111+(1111+(1111+(1111-(111+(111+(11+(11+(11+(1+(1+(1+(1+(1)))))))))))))))))))))))))
194713795: 111111111+(111111111-(11111111+(11111111+(1111111+(1111111+(1111111+(1111111+(1111111-(111111+(111111+(11111+(11111+(11111+(11111+(1111+(1111+(111+(111+(111+(111+(11+(11-(1+(1+(1+(1))))))))))))))))))))))))))
207721209: 111111111+(111111111-(11111111+(1111111+(1111111+(1111111+(11111+(11111+(11111+(11111+(11111+(1111-(111-(11+(1+(1+(1))))))))))))))))
220946392: 111111111+(111111111-(1111111+(111111+(11111+(11111+(11111+(11111+(11111-(1111+(1111-(111+(111+(11+(11+(11+(11+(11-(1+(1)))))))))))))))))))
225230299: 111111111+(111111111+(1111111+(1111111+(1111111-(111111+(111111+(111111-(11111-(1111+(1111+(1111-(111+(111+(111-(11+(11+(11+(1))))))))))))))))))
227043979: 111111111+(111111111+(1111111+(1111111+(1111111+(1111111+(111111+(111111+(111111+(11111+(11111+(11111+(11111-(111+(111+(111+(111+(11+(11-(1+(1))))))))))))))))))))
241011012: 111111111+(111111111+(11111111+(11111111-(1111111+(1111111+(1111111+(111111-(11111-(111-(11+(1)))))))))))
248906099: 111111111+(111111111+(11111111+(11111111+(1111111+(1111111+(1111111+(1111111+(11111+(1111+(1111+(1111+(1111+(1111+(111+(111+(111+(111+(111-(11-(1))))))))))))))))))))
249796314: 111111111+(111111111+(11111111+(11111111+(1111111+(1111111+(1111111+(1111111+(1111111-(111111+(111111-(11111+(11111-(1111+(1111+(1111+(111+(111+(111+(11+(11-(1+(1+(1)))))))))))))))))))))))
250546528: 111111111+(111111111+(11111111+(11111111+(1111111+(1111111+(1111111+(1111111+(1111111+(111111+(111111+(111111+(111111+(111111-(11111-(1111+(1111-(111+(11+(11+(1+(1+(1+(1)))))))))))))))))))))))
258452706: 111111111+(111111111+(11111111+(11111111+(11111111+(1111111+(1111111+(1111111-(111111+(111111+(111111+(111111-(11111-(1111+(1111+(1111-(111+(111+(111+(111+(11+(11+(11+(11-(1+(1+(1+(1)))))))))))))))))))))))))))
276862988: 111111111+(111111111+(11111111+(11111111+(11111111+(11111111+(11111111-(1111111-(111111+(111111-(11111+(11111+(1111+(1111+(1111+(111+(111+(111+(11+(1)))))))))))))))))))
277140688: 111111111+(111111111+(11111111+(11111111+(11111111+(11111111+(11111111-(1111111-(111111+(111111+(111111+(111111+(11111+(11111+(11111-(1111+(1111+(1111+(111+(111+(111+(111-(11+(11)))))))))))))))))))))))
280158490: 111111111+(111111111+(11111111+(11111111+(11111111+(11111111+(11111111+(1111111+(1111111+(111111+(11111+(11111+(11111+(11111+(1111+(1111+(1111-(111+(111+(111+(111-(11+(11+(11+(11+(1+(1+(1)))))))))))))))))))))))))))
286074562: 111111111+(111111111+(111111111-(11111111+(11111111+(11111111+(11111111+(1111111+(1111111+(111111+(111111+(111111+(111111+(111111+(11111+(11111+(11111+(1111+(1111+(1111-(111+(1+(1+(1+(1+(1)))))))))))))))))))))))))
308946627: 111111111+(111111111+(111111111-(11111111+(11111111+(1111111+(1111111-(11111+(11111+(11111+(11111+(11111+(1111+(1111-(11+(11+(11+(11-(1+(1+(1+(1+(1))))))))))))))))))))))
310972897: 111111111+(111111111+(111111111-(11111111+(11111111+(111111+(11111+(11111+(1111+(1111+(1111+(1111+(111+(111+(111+(111-(11-(1+(1+(1+(1))))))))))))))))))))
322612091: 111111111+(111111111+(111111111-(11111111-(111111+(111111+(111111+(11111+(11111+(11111+(11111+(11111+(1111-(111+(11+(11-(1+(1+(1))))))))))))))))))
324445400: 111111111+(111111111+(111111111-(11111111-(1111111+(1111111+(1111-(111+(11+(11+(11+(11)))))))))))
336060042: 111111111+(111111111+(111111111+(1111111+(1111111+(111111+(111111+(111111+(111111+(11111+(11111+(11111+(11111+(11111+(1111+(1111+(1111+(1111+(11+(11+(11+(11)))))))))))))))))))))
346729632: 111111111+(111111111+(111111111+(11111111+(1111111+(1111111+(111111-(11111+(11111+(11111+(11111+(1111+(1111+(1111+(111+(111+(111+(11+(11+(11+(1+(1)))))))))))))))))))))
349428326: 111111111+(111111111+(111111111+(11111111+(1111111+(1111111+(1111111+(1111111+(111111+(111111+(111111+(111111+(111111-(11111+(1111+(1111+(1111+(1111+(111+(111+(111+(111+(111+(11-(1+(1+(1+(1)))))))))))))))))))))))))))
352769482: 111111111+(111111111+(111111111+(11111111+(11111111-(1111111+(1111111+(111111+(111111+(111111+(111111+(111111+(11111-(1111+(1111+(111+(111+(111+(111+(111+(11+(11+(11+(1+(1+(1+(1+(1)))))))))))))))))))))))))))
363039453: 111111111+(111111111+(111111111+(11111111+(11111111+(11111111-(1111111+(1111111+(1111111+(111111+(111111+(111111-(11111+(11111+(11111+(11111-(1111+(1111+(1111+(1111+(111+(111+(111+(111+(111-(11-(1+(1+(1))))))))))))))))))))))))))))
363851029: 111111111+(111111111+(111111111+(11111111+(11111111+(11111111-(1111111+(1111111+(111111+(111111+(111111+(111111+(111111+(11111+(11111+(11111+(1111+(1111+(1111+(1111+(111-(11+(11+(11-(1+(1+(1+(1+(1))))))))))))))))))))))))))))
392168304: 111111111+(111111111+(111111111+(11111111+(11111111+(11111111+(11111111+(11111111+(1111111+(1111111+(1111111-(11111+(11111+(11111+(11111+(11111-(1111+(111+(111+(111+(111+(111-(11+(11+(11-(1+(1+(1+(1+(1)))))))))))))))))))))))))))))
401975104: 111111111+(111111111+(111111111+(111111111-(11111111+(11111111+(11111111+(11111111-(1111111+(1111111-(111111+(111111+(11111+(11111+(1111+(1111+(111+(111+(111+(111+(11-(1+(1+(1)))))))))))))))))))))))
407890409: 111111111+(111111111+(111111111+(111111111-(11111111+(11111111+(11111111+(1111111+(1111111+(1111111-(111111+(1111+(111+(111+(111+(111-(11+(11+(11+(1+(1))))))))))))))))))))
407971913: 111111111+(111111111+(111111111+(111111111-(11111111+(11111111+(11111111+(1111111+(1111111+(1111111-(111111+(111111-(11111+(11111+(1111+(1111+(1111+(1111+(1111+(111+(111+(111-(11+(11+(1))))))))))))))))))))))))
425780757: 111111111+(111111111+(111111111+(111111111-(11111111+(11111111-(1111111+(1111111+(1111111+(111111+(111111+(1111+(1111+(1111-(111+(111+(111+(11+(11-(1+(1))))))))))))))))))))
459441559: 111111111+(111111111+(111111111+(111111111+(11111111+(1111111+(1111111+(1111111+(111111+(111111+(111111+(111111+(111111-(1111+(1111+(1111-(111+(111+(111+(111+(1+(1+(1+(1+(1))))))))))))))))))))))))
465592122: 111111111+(111111111+(111111111+(111111111+(11111111+(11111111-(1111111-(11111+(11111+(11111+(1111+(1111+(1111-(111-(11+(1)))))))))))))))
475898732: 111111111+(111111111+(111111111+(111111111+(11111111+(11111111+(11111111-(1111111+(1111111-(111111+(111111+(111111+(11111-(1111+(111+(11+(11+(11+(11+(1)))))))))))))))))))
482826596: 111111111+(111111111+(111111111+(111111111+(11111111+(11111111+(11111111+(1111111+(1111111+(1111111+(1111111+(111111+(111111+(111111+(111111+(111111+(11111+(11111+(11111+(11111+(1111+(1111+(1111+(1111-(111-(11+(11+(11+(11-(1)))))))))))))))))))))))))))))
484263150: 111111111+(111111111+(111111111+(111111111+(11111111+(11111111+(11111111+(11111111-(1111111+(1111111+(1111111+(1111111+(111111+(111111-(11111+(11111+(11111+(11111-(1111+(1111+(1111+(111+(111-(11+(11+(11+(11-(1+(1+(1+(1+(1)))))))))))))))))))))))))))))))
506235403: 111111111+(111111111+(111111111+(111111111+(111111111-(11111111+(11111111+(11111111+(11111111+(1111111+(1111111+(1111111+(1111111+(111111+(111111+(111111+(111111-(11111+(1111+(1111-(111+(11+(11+(11+(11-(1+(1))))))))))))))))))))))))))
548951531: 111111111+(111111111+(111111111+(111111111+(111111111-(11111111-(1111111+(1111111+(1111111+(1111111+(111111-(11111+(11111+(11111+(11111+(1111+(1111+(1111+(1111-(111+(111+(111+(111-(11+(11+(1+(1))))))))))))))))))))))))))
554295842: 111111111+(111111111+(111111111+(111111111+(111111111-(1111111+(111111+(11111+(11111+(11111+(1111+(1111+(1111+(1111-(111+(111+(111-(11+(11+(11+(11+(1+(1+(1)))))))))))))))))))))))
580536366: 111111111+(111111111+(111111111+(111111111+(111111111+(11111111+(11111111+(1111111+(1111111+(111111+(111111+(111111+(111111+(111111-(11111+(11111-(1111+(1111+(1111-(111+(111+(111-(11+(11+(11+(1)))))))))))))))))))))))))
587051904: 111111111+(111111111+(111111111+(111111111+(111111111+(11111111+(11111111+(11111111-(1111111+(1111111-(111111+(111111+(111111+(11111+(11111+(11111+(11111+(11111-(1111+(1111+(1111+(111+(111+(111-(11+(1+(1+(1+(1+(1)))))))))))))))))))))))))))))
588265985: 111111111+(111111111+(111111111+(111111111+(111111111+(11111111+(11111111+(11111111-(1111111-(111111+(111111+(111111+(111111+(11111+(11111+(11111+(11111-(1111-(111+(111+(111+(111-(11+(1+(1))))))))))))))))))))))))
588298051: 111111111+(111111111+(111111111+(111111111+(111111111+(11111111+(11111111+(11111111-(111111+(111111+(111111+(111111+(111111+(11111+(11111+(11111+(1111+(1111-(111+(111+(11+(11+(11+(11+(11-(1+(1+(1+(1))))))))))))))))))))))))))))
590968352: 111111111+(111111111+(111111111+(111111111+(111111111+(11111111+(11111111+(11111111+(1111111+(1111111-(111111+(11111+(11111+(11111-(1111+(111+(111+(111+(111+(111+(11+(11-(1+(1)))))))))))))))))))))))
601194306: 111111111+(111111111+(111111111+(111111111+(111111111+(11111111+(11111111+(11111111+(11111111+(1111111+(111111-(11111+(11111+(1111+(1111+(1111+(1111+(1111+(111+(11+(11+(1+(1+(1+(1+(1)))))))))))))))))))))))))
607771869: 111111111+(111111111+(111111111+(111111111+(111111111+(11111111+(11111111+(11111111+(11111111+(11111111-(1111111+(1111111+(1111111+(1111+(1111+(1111+(1111+(1111+(111+(111+(111+(11+(11-(1+(1))))))))))))))))))))))))
618578932: 1111111111-(111111111+(111111111+(111111111+(111111111+(11111111+(11111111+(11111111+(11111111+(1111111+(1111111+(1111111+(111111+(111111+(111111-(11111+(11111+(1111+(11+(11+(11+(11-(1+(1)))))))))))))))))))))))
626776380: 1111111111-(111111111+(111111111+(111111111+(111111111+(11111111+(11111111+(11111111+(11111111-(1111111+(1111111+(1111111+(1111111+(111111-(1111+(111+(111+(111-(11+(11+(11+(11+(1+(1)))))))))))))))))))))))
667919873: 1111111111-(111111111+(111111111+(111111111+(111111111-(1111111+(111111+(11111+(11111+(11111-(1111+(1111+(111+(11+(1+(1+(1+(1+(1))))))))))))))))))
681786366: 1111111111-(111111111+(111111111+(111111111+(111111111-(11111111+(1111111+(1111111+(1111111+(1111111-(111111+(111111+(111111+(111111-(11111-(1111+(1111+(111+(111+(111-(11+(11+(11-(1)))))))))))))))))))))))
689854904: 1111111111-(111111111+(111111111+(111111111+(111111111-(11111111+(11111111+(1111111-(111111+(11111+(11111+(11111+(1111-(111+(111+(111+(111+(11+(1+(1+(1+(1)))))))))))))))))))))
692055400: 1111111111-(111111111+(111111111+(111111111+(111111111-(11111111+(11111111+(1111111+(1111111+(1111111-(111111+(11111+(11111+(11111+(11111+(11111+(111+(11+(11+(11+(11+(1)))))))))))))))))))))
697665495: 1111111111-(111111111+(111111111+(111111111+(111111111-(11111111+(11111111+(11111111-(1111111+(1111111+(111111+(1111+(111-(11+(11+(11+(11+(11-(1+(1+(1+(1+(1))))))))))))))))))))))
711608194: 1111111111-(111111111+(111111111+(111111111+(111111111-(11111111+(11111111+(11111111+(11111111+(111111+(111111+(111111+(111111+(11111+(11111+(11111+(11111+(11111-(1111+(1111+(1111-(111+(111+(111+(111-(11+(11+(1+(1+(1+(1+(1)))))))))))))))))))))))))))))))
734027104: 1111111111-(111111111+(111111111+(111111111+(11111111+(11111111+(11111111+(11111111-(1111111-(111111+(111111+(111111+(111111-(11111+(11111+(1111+(1111+(1111+(1111+(111+(111+(111+(111-(11-(1+(1+(1+(1)))))))))))))))))))))))))))
750869335: 1111111111-(111111111+(111111111+(111111111+(11111111+(11111111+(1111111+(1111111+(1111111+(1111111+(111111+(111111+(11111+(11111-(1111+(1111+(111+(111+(111+(111+(1))))))))))))))))))))
757710567: 1111111111-(111111111+(111111111+(111111111+(11111111+(11111111-(1111111+(1111111-(111111-(11111+(11111+(11111+(11111-(111+(111+(111+(111+(111-(11))))))))))))))))))
759967747: 1111111111-(111111111+(111111111+(111111111+(11111111+(11111111-(1111111+(1111111+(1111111+(1111111-(11111+(11111+(11111-(1111-(11+(11+(11-(1+(1))))))))))))))))))
777616154: 1111111111-(111111111+(111111111+(111111111+(111111+(11111+(11111+(11111+(11111+(1111+(1111+(1111+(1111+(1111+(111+(111+(111+(111+(111-(11+(11+(11+(11-(1+(1+(1)))))))))))))))))))))))))
830071127: 1111111111-(111111111+(111111111+(11111111+(11111111+(11111111+(11111111+(11111111+(1111111+(1111111+(1111111-(111111-(11111+(11111+(11111+(11111-(1111+(1111+(1111+(1111+(11+(1+(1+(1+(1))))))))))))))))))))))))
833809927: 1111111111-(111111111+(111111111+(11111111+(11111111+(11111111+(11111111+(11111111-(111111+(111111+(111111+(111111+(11111+(11111+(11111-(1111+(111-(11+(11+(11+(1+(1+(1+(1+(1))))))))))))))))))))))))
835873060: 1111111111-(111111111+(111111111+(11111111+(11111111+(11111111+(11111111+(11111111-(1111111+(1111111+(111111+(111111+(111111-(11111+(1111+(1111+(1111+(1111+(111+(111+(11+(11+(11+(11+(11-(1+(1+(1)))))))))))))))))))))))))))
836438554: 1111111111-(111111111+(111111111+(11111111+(11111111+(11111111+(11111111+(11111111-(1111111+(1111111+(1111111-(111111+(111111+(1111+(1111+(1111+(1111+(1111+(111+(111+(111+(1+(1+(1)))))))))))))))))))))))
836945593: 1111111111-(111111111+(111111111+(11111111+(11111111+(11111111+(11111111+(11111111-(1111111+(1111111+(1111111+(111111+(111111+(11111+(11111+(11111+(11111+(11111+(1111+(11+(11+(11+(1+(1+(1+(1+(1))))))))))))))))))))))))))
863728236: 1111111111-(111111111+(111111111+(11111111+(11111111+(1111111+(1111111+(1111111-(111111+(111111+(111111+(111111-(11111+(11111+(11111+(11111+(1111+(1111+(1111+(1111+(1111-(111+(111+(111+(111+(11+(1+(1)))))))))))))))))))))))))))
864158514: 1111111111-(111111111+(111111111+(11111111+(11111111+(1111111+(1111111+(111111+(111111+(111111-(11111+(11111+(11111+(11111+(1111+(1111+(1111-(111+(111+(111+(11+(11+(11+(11-(1+(1)))))))))))))))))))))))))
871273503: 1111111111-(111111111+(111111111+(11111111+(11111111-(1111111+(1111111+(1111111+(1111111+(111111+(11111+(11111+(11111+(11111+(11111-(1111+(1111+(1111+(1111-(111+(11+(11+(11+(11+(11+(1+(1+(1+(1))))))))))))))))))))))))))))
881615667: 1111111111-(111111111+(111111111+(11111111-(1111111+(1111111+(1111111+(111111+(111111+(111111+(111111+(11111+(11111+(11111+(11111+(11111+(1111+(1111+(1111+(1111+(111+(1+(1))))))))))))))))))))))
891619600: 1111111111-(111111111+(111111111-(1111111+(1111111+(111111+(111111+(111111+(111111+(111111-(11111+(11111+(11111+(11111+(1111+(1111+(111+(111+(111+(111-(11+(11+(11+(11)))))))))))))))))))))))
897181691: 1111111111-(111111111+(111111111-(11111111-(1111111+(1111111+(111111+(111111+(111111+(111111+(111111+(11111+(11111+(11111+(11111-(1111+(1111+(1111+(111+(111+(111+(111+(111+(11+(11+(1+(1))))))))))))))))))))))))))
918159061: 1111111111-(111111111+(111111111-(11111111+(11111111+(11111111-(1111111+(1111111+(1111111+(1111111-(111111+(111111+(111111+(11111+(11111+(11111+(11111+(1111+(1111+(1111+(111+(111-(11+(11+(11+(11+(1+(1+(1+(1+(1))))))))))))))))))))))))))))))
920521050: 1111111111-(111111111+(111111111-(11111111+(11111111+(11111111-(1111111+(111111+(111111+(111111+(111111+(111111+(11111+(11111+(11111+(1111+(111-(11+(11+(11+(11+(1+(1+(1+(1+(1)))))))))))))))))))))))))
924502226: 1111111111-(111111111+(111111111-(11111111+(11111111+(11111111+(1111111+(1111111+(11111+(11111+(11111+(11111+(11111+(1111+(1111+(1+(1+(1+(1+(1)))))))))))))))))))
929983535: 1111111111-(111111111+(111111111-(11111111+(11111111+(11111111+(11111111-(1111111+(1111111+(1111111+(11111+(1111+(1111+(1111+(1111+(1111-(111+(111-(11+(11-(1))))))))))))))))))))
943162304: 1111111111-(111111111+(11111111+(11111111+(11111111+(11111111+(11111111+(1111111+(111111+(11111+(11111+(11111+(11111+(11111+(1111+(1111+(1111+(1111-(111-(11+(11+(11-(1+(1)))))))))))))))))))))))
950210939: 1111111111-(111111111+(11111111+(11111111+(11111111+(11111111+(1111111+(1111111+(1111111+(1111111+(1111111-(111111+(111111-(11111+(111+(111-(11+(11+(11+(11+(1+(1+(1+(1+(1))))))))))))))))))))))))
950214176: 1111111111-(111111111+(11111111+(11111111+(11111111+(11111111+(1111111+(1111111+(1111111+(1111111+(1111111-(111111+(111111-(11111-(1111+(1111+(1111-(111+(111+(11+(11+(11+(11+(1+(1+(1)))))))))))))))))))))))))
962610357: 1111111111-(111111111+(11111111+(11111111+(11111111+(1111111+(1111111+(1111111+(1111111-(111111+(111111+(111111+(11111+(11111+(11111+(11111+(11111-(1111-(111+(111+(111+(11+(11+(1+(1))))))))))))))))))))))))
974842859: 1111111111-(111111111+(11111111+(11111111+(1111111+(1111111+(1111111-(111111+(111111+(111111+(111111-(11111+(11111+(11111+(11111+(1111+(111+(111+(111+(111+(11+(11+(11-(1+(1))))))))))))))))))))))))
988572832: 1111111111-(111111111+(11111111+(111111+(111111+(111111-(11111+(11111-(1111+(1111+(1111+(1111+(111+(111+(111+(111+(11+(11+(11+(11+(11+(1+(1+(1)))))))))))))))))))))))

5

Python, Punktzahl 17136288

Sekundäre Punktzahl: 12/09/2016 08:53
(4784 Einsen und 3582 Operationen)

In Arbeit, aber OP hat nach meinem aktuellen Code gefragt ...

# get number in factorial base, ignoring the place of 0! (always 0) 
r=lambda n,q=[],i=2:n and r(n//i,q+[n%i],i+1)or q

# rewrite a number in a form using only 1s by converting its factorial base, the range only requires using up to 12 places, again ignoring the 0! place so we only hard code 1 and [5-12] (9 numbers)
def g(n):
    k=['','1']+['1'+'+1'*i for i in range(1,4)]+['(11-1)/(1+1)','t(1+1+1)','1+t(1+1+1)','11-1-1-1','11-1-1','11-1','11','1+11']
    q=r(n)
    return n<13and k[n]or(q[0]and'1+'or'')+'+'.join((v>1and'('+k[v]+')*'or'')+(i>2and't'or'')+'('+k[i]+')'for i,v in enumerate(q[1:],2)if v)

#get g(n) representations after differencing from 0, 11, 111, 1111, ... then return the one with the minimal stand-alone score
def h(n):
    o=[g(n)]+[str(v)+(v<n and'+('or'-(')+g(abs(v-n))+')'for v in[int('1'*l)for l in range(2,11)]]
    s=[sum(map(v.count,'+-*/t'))*v.count('1')for v in o]
    return o[s.index(min(s))]

# A Factorial function for analysis with eval
def t(n):
    r = 1
    while n:
        r *= n
        n -= 1
    return r

Ausgang - beachten Sie, dass tdie Fakultäts - Funktion ist, um nicht zu verwechseln mit ffür , floorwenn es verwendet wird - ich ausgewertet jede der Funktion t( siehe oben) zu überprüfen , dass sie alle korrekt sind :

945536 11111111-(1+(1+1)+(1+1)*t(1+1+1)+((11-1)/(1+1))*t((11-1)/(1+1))+(t(1+1+1))*t(t(1+1+1))+(11-1-1-1)*t(11-1-1)+(1+1)*t(11-1))
16878234 11111111+(1+(1+1+1)*t(1+1+1)+t(1+1+1+1)+((11-1)/(1+1))*t((11-1)/(1+1))+t(t(1+1+1))+(11-1-1-1)*t(11-1-1-1)+((11-1)/(1+1))*t(11-1-1)+t(11-1))
32608778 111111111-(1+(1+1)*t(1+1+1)+(t(1+1+1))*t(t(1+1+1))+(1+t(1+1+1))*t(1+t(1+1+1))+(1+1)*t(11-1-1-1)+(t(1+1+1))*t(11-1-1)+(11-1)*t(11-1)+t(11))
42017515 111+((1+1)*(1+1)+(1+1+1)*t((11-1)/(1+1))+((11-1)/(1+1))*t(t(1+1+1))+(1+t(1+1+1))*t(11-1-1-1)+((11-1)/(1+1))*t(11-1-1)+t(11))
48950830 111+(1+t(1+1+1)+(1+1+1)*t(1+1+1+1)+(1+1+1)*t(t(1+1+1))+(11-1-1-1)*t(11-1-1-1)+(1+1+1+1)*t(11-1-1)+(1+1)*t(11-1)+t(11))
51483452 11111111+(1+(1+1)+(1+1+1)*t(1+1+1)+(1+1+1+1)*t((11-1)/(1+1))+(1+1)*t(t(1+1+1))+(1+1)*t(1+t(1+1+1))+(1+1)*t(11-1-1-1)+t(11-1-1)+t(11))
52970263 111111111-((1+1)+t(1+1+1)+t((11-1)/(1+1))+(t(1+1+1))*t(t(1+1+1))+(1+t(1+1+1))*t(1+t(1+1+1))+t(11-1-1-1)+((11-1)/(1+1))*t(11-1)+t(11))
54278649 1+(1+1)+t(1+1+1)+(1+1+1+1)*t(t(1+1+1))+t(1+t(1+1+1))+((11-1)/(1+1))*t(11-1-1-1)+(11-1-1)*t(11-1-1)+(1+1+1)*t(11-1)+t(11)
63636656 1111111+(1+t(1+1+1+1)+(t(1+1+1))*t(t(1+1+1))+((11-1)/(1+1))*t(1+t(1+1+1))+(1+1)*t(11-1-1-1)+(1+1)*t(11-1-1)+(t(1+1+1))*t(11-1)+t(11))
78817406 1111+(1+t(1+1+1)+(1+1)*t(1+1+1+1)+t(t(1+1+1))+(t(1+1+1))*t(1+t(1+1+1))+t(11-1-1-1)+(1+t(1+1+1))*t(11-1-1)+(11-1)*t(11-1)+t(11))
89918907 1+(1+1)+t(1+1+1+1)+(1+1)*t((11-1)/(1+1))+t(1+t(1+1+1))+(1+t(1+1+1))*t(11-1-1-1)+(1+t(1+1+1))*t(11-1-1)+(1+1)*t(11-1)+(1+1)*t(11)
90757642 1111111+(1+(1+1)+(1+1)*t(1+1+1+1)+(1+1+1)*t(1+t(1+1+1))+(1+t(1+1+1))*t(11-1-1)+(1+1)*t(11-1)+(1+1)*t(11))
95364861 11111111+((1+1)*(1+1)+(1+1+1)*t(1+1+1)+(1+1)*t(1+1+1+1)+((11-1)/(1+1))*t(1+t(1+1+1))+t(11-1-1-1)+(1+1)*t(11-1-1)+t(11-1)+(1+1)*t(11))
102706605 1111+((1+1)+(1+1)*t(1+1+1)+(1+1+1)*t((11-1)/(1+1))+(1+1)*t(1+t(1+1+1))+(1+1+1)*t(11-1-1)+(t(1+1+1))*t(11-1)+(1+1)*t(11))
113965374 t(1+1+1)+(1+1)*t(1+1+1+1)+t((11-1)/(1+1))+t(t(1+1+1))+(1+1+1+1)*t(1+t(1+1+1))+(1+1+1+1)*t(11-1-1)+(11-1-1)*t(11-1)+(1+1)*t(11)
122448605 111111+((1+1)+(1+1)*t(1+1+1)+t((11-1)/(1+1))+(1+1)*t(t(1+1+1))+t(1+t(1+1+1))+t(11-1-1-1)+(1+t(1+1+1))*t(11-1-1)+(1+1+1)*t(11))
126594161 111111111+((1+1)+(1+1)*t(1+1+1+1)+t((11-1)/(1+1))+(t(1+1+1))*t(11-1-1-1)+(1+1)*t(11-1-1)+(1+1+1+1)*t(11-1))
148064959 1111111111-((1+1+1)*t(1+1+1+1)+(1+1+1+1)*t(t(1+1+1))+(11-1-1-1)*t(11-1-1-1)+(1+1+1)*t(11-1-1)+t(11-1)+(1+1)*t(1+11))
150735075 11111111+((1+1)*(1+1)+t((11-1)/(1+1))+t(t(1+1+1))+(1+t(1+1+1))*t(1+t(1+1+1))+(t(1+1+1))*t(11-1-1-1)+(1+1+1+1)*t(11-1-1)+((11-1)/(1+1))*t(11-1)+(1+1+1)*t(11))
154382918 1111111+(1+t(1+1+1)+(1+1+1)*t((11-1)/(1+1))+(1+1+1)*t(1+t(1+1+1))+(1+1+1)*t(11-1-1-1)+(1+1)*t(11-1-1)+(11-1-1)*t(11-1)+(1+1+1)*t(11))
172057472 1111+(1+t((11-1)/(1+1))+t(t(1+1+1))+(1+1)*t(1+t(1+1+1))+t(11-1-1-1)+(1+1+1+1)*t(11-1-1)+(1+1+1)*t(11-1)+(1+1+1+1)*t(11))
192280850 1111111111-(1+(1+1)*(1+1)+(1+1+1+1)*t(1+1+1+1)+(1+1+1+1)*t(t(1+1+1))+(1+1+1)*t(1+t(1+1+1))+(1+1)*t(11-1-1)+(11)*t(11)+t(1+11))
194713795 111111111+((1+1)*(1+1)+((11-1)/(1+1))*t((11-1)/(1+1))+((11-1)/(1+1))*t(t(1+1+1))+(1+1+1)*t(1+t(1+1+1))+(1+1+1)*t(11-1-1-1)+t(11-1)+(1+1)*t(11))
207721209 111111+((1+1+1)*t(1+1+1)+(1+1)*t((11-1)/(1+1))+(1+1+1)*t(t(1+1+1))+t(11-1-1-1)+(1+1)*t(11-1-1)+(1+1)*t(11-1)+((11-1)/(1+1))*t(11))
220946392 111111111+(1+((11-1)/(1+1))*t(t(1+1+1))+(t(1+1+1))*t(11-1-1-1)+(1+1)*t(11-1-1)+(11-1-1-1)*t(11-1)+(1+1)*t(11))
225230299 1111111111-((1+1)*t(1+1+1)+(1+1)*t(1+t(1+1+1))+(1+1)*t(11-1-1-1)+t(11-1-1)+(1+1)*t(11-1)+(11-1)*t(11)+t(1+11))
227043979 1111111111-((1+1)*t(1+1+1)+t(t(1+1+1))+(1+1)*t(1+t(1+1+1))+(1+1)*t(11-1-1-1)+(t(1+1+1))*t(11-1-1)+t(11-1)+(11-1)*t(11)+t(1+11))
241011012 11+(1+(1+1+1)*t((11-1)/(1+1))+(1+1+1+1)*t(t(1+1+1))+(1+1+1)*t(1+t(1+1+1))+t(11-1-1-1)+(1+1+1+1)*t(11-1-1)+(t(1+1+1))*t(11))
248906099 11+((1+1)*t(1+1+1+1)+((11-1)/(1+1))*t((11-1)/(1+1))+(1+1)*t(1+t(1+1+1))+(11-1-1-1)*t(11-1-1-1)+((11-1)/(1+1))*t(11-1-1)+(1+1)*t(11-1)+(t(1+1+1))*t(11))
249796314 111111+(1+(1+1)+((11-1)/(1+1))*t(t(1+1+1))+(1+1+1+1)*t(1+t(1+1+1))+(11-1-1-1)*t(11-1-1)+(1+1)*t(11-1)+(t(1+1+1))*t(11))
250546528 111+(1+(1+1+1+1)*t(1+1+1+1)+(1+1+1+1)*t(t(1+1+1))+(1+t(1+1+1))*t(1+t(1+1+1))+(1+1+1)*t(11-1-1-1)+(1+1+1)*t(11-1)+(t(1+1+1))*t(11))
258452706 11+(1+t(1+1+1)+(1+1)*t(1+1+1+1)+(1+1)*t(t(1+1+1))+(1+1)*t(11-1-1-1)+(1+1)*t(11-1-1)+((11-1)/(1+1))*t(11-1)+(t(1+1+1))*t(11))
276862988 111+(1+(1+1)*(1+1)+(1+1+1)*t(1+1+1+1)+(1+1+1+1)*t((11-1)/(1+1))+((11-1)/(1+1))*t(1+t(1+1+1))+(11-1-1-1)*t(11-1-1-1)+(1+1)*t(11-1-1)+(11-1)*t(11-1)+(t(1+1+1))*t(11))
277140688 1111+(1+(1+1)+t(1+1+1)+(1+1)*t(1+1+1+1)+(1+1+1+1)*t(1+t(1+1+1))+(t(1+1+1))*t(11-1-1-1)+(1+1+1)*t(11-1-1)+(11-1)*t(11-1)+(t(1+1+1))*t(11))
280158490 (1+1)*(1+1)+t(1+1+1)+(1+1+1)*t(1+t(1+1+1))+(1+1)*t(11-1-1)+(1+t(1+1+1))*t(11)
286074562 1111+(1+(1+1)+(1+1)*t(1+1+1+1)+t((11-1)/(1+1))+(1+1+1+1)*t(t(1+1+1))+(1+1+1)*t(11-1-1-1)+(11-1-1-1)*t(11-1-1)+t(11-1)+(1+t(1+1+1))*t(11))
308946627 11111+((1+1)*(1+1)+(1+1+1)*t(1+1+1+1)+((11-1)/(1+1))*t(t(1+1+1))+(1+1+1)*t(11-1-1-1)+t(11-1-1)+(11-1-1-1)*t(11-1)+(1+t(1+1+1))*t(11))
310972897 111111111+((1+1)*(1+1)+t(1+1+1)+(1+1+1+1)*t(1+1+1+1)+(1+1+1+1)*t((11-1)/(1+1))+(1+t(1+1+1))*t(1+t(1+1+1))+(t(1+1+1))*t(11-1-1-1)+((11-1)/(1+1))*t(11))
322612091 11+((1+1)*t((11-1)/(1+1))+(1+1)*t(t(1+1+1))+(1+1)*t(1+t(1+1+1))+(11-1-1)*t(11-1-1)+(11-1-1-1)*t(11))
324445400 1111+(1+(1+1)*t(1+1+1+1)+(t(1+1+1))*t(t(1+1+1))+((11-1)/(1+1))*t(1+t(1+1+1))+(1+1+1+1)*t(11-1-1)+t(11-1)+(11-1-1-1)*t(11))
336060042 11+(1+t(1+1+1)+t(1+1+1+1)+(1+1+1+1)*t(t(1+1+1))+(t(1+1+1))*t(1+t(1+1+1))+(t(1+1+1))*t(11-1-1)+(1+1+1+1)*t(11-1)+(11-1-1-1)*t(11))
346729632 11111+(1+(1+1+1)*t((11-1)/(1+1))+(1+1)*t(t(1+1+1))+t(1+t(1+1+1))+(1+1+1+1)*t(11-1-1-1)+((11-1)/(1+1))*t(11-1-1)+(1+t(1+1+1))*t(11-1)+(11-1-1-1)*t(11))
349428326 11+(1+(1+1)+(1+1+1)*t(1+1+1+1)+(1+1+1)*t(1+t(1+1+1))+(11-1-1-1)*t(11-1-1-1)+(1+1)*t(11-1-1)+(11-1-1-1)*t(11-1)+(11-1-1-1)*t(11))
352769482 1111+(1+(1+1)+(1+1)*t(1+1+1+1)+((11-1)/(1+1))*t(t(1+1+1))+t(1+t(1+1+1))+t(11-1-1-1)+(1+1)*t(11-1-1)+(11-1-1)*t(11-1)+(11-1-1-1)*t(11))
363039453 111111+(t(1+1+1)+(1+1+1+1)*t(1+1+1+1)+(1+1+1+1)*t(t(1+1+1))+t(1+t(1+1+1))+t(11-1-1-1)+t(11-1)+(11-1-1)*t(11))
363851029 1111+(t(1+1+1)+(1+1+1)*t(1+1+1+1)+(1+1+1)*t(t(1+1+1))+(t(1+1+1))*t(11-1-1-1)+(1+1)*t(11-1-1)+t(11-1)+(11-1-1)*t(11))
392168304 11111111+(1+(1+1+1)*t(1+1+1+1)+(1+1+1+1)*t(t(1+1+1))+(t(1+1+1))*t(1+t(1+1+1))+(t(1+1+1))*t(11-1)+(11-1-1)*t(11))
401975104 1111111+(1+(1+1)+t(1+1+1)+t(1+1+1+1)+(1+1+1)*t((11-1)/(1+1))+(1+1+1)*t(t(1+1+1))+(t(1+1+1))*t(11-1-1-1)+(1+1+1+1)*t(11-1-1)+(11-1)*t(11))
407890409 11111+((1+1+1)*t(1+1+1)+(1+1+1)*t(t(1+1+1))+(1+1+1+1)*t(11-1-1)+(1+1)*t(11-1)+(11-1)*t(11))
407971913 11111+((1+1+1)*t(1+1+1)+t(1+1+1+1)+t((11-1)/(1+1))+(1+1+1+1)*t(t(1+1+1))+(1+1)*t(11-1-1-1)+(1+1+1+1)*t(11-1-1)+(1+1)*t(11-1)+(11-1)*t(11))
425780757 111+(t(1+1+1)+(1+1)*t(t(1+1+1))+(1+1+1)*t(11-1-1-1)+(1+1+1)*t(11-1-1)+(1+t(1+1+1))*t(11-1)+(11-1)*t(11))
459441559 1111111+((1+1)*t(1+1+1+1)+(1+1+1+1)*t(t(1+1+1))+(1+1)*t(1+t(1+1+1))+(1+1+1)*t(11-1-1)+((11-1)/(1+1))*t(11-1)+(11)*t(11))
465592122 1111+(1+(1+1)*(1+1)+t(1+1+1)+t((11-1)/(1+1))+t(t(1+1+1))+(1+1+1)*t(1+t(1+1+1))+(1+1+1)*t(11-1-1)+(1+t(1+1+1))*t(11-1)+(11)*t(11))
475898732 11111+(1+(1+1)+(1+1+1)*t(1+1+1)+t(t(1+1+1))+(t(1+1+1))*t(1+t(1+1+1))+(1+1+1)*t(11-1-1-1)+t(11-1-1)+(11-1)*t(11-1)+(11)*t(11))
482826596 111111+(1+(1+1)*(1+1)+t((11-1)/(1+1))+(t(1+1+1))*t(t(1+1+1))+(1+1)*t(11-1-1-1)+t(11-1)+t(1+11))
484263150 t(1+1+1)+t(1+1+1+1)+(1+1+1+1)*t((11-1)/(1+1))+(t(1+1+1))*t(t(1+1+1))+(1+1+1)*t(1+t(1+1+1))+(1+1+1+1)*t(11-1-1-1)+(1+1+1+1)*t(11-1-1)+t(11-1)+t(1+11)
506235403 1111+((1+1)*t(1+1+1)+t((11-1)/(1+1))+(1+1)*t(t(1+1+1))+(1+1+1)*t(1+t(1+1+1))+((11-1)/(1+1))*t(11-1-1)+(1+t(1+1+1))*t(11-1)+t(1+11))
548951531 11+((1+1+1+1)*t((11-1)/(1+1))+(t(1+1+1))*t(t(1+1+1))+(t(1+1+1))*t(1+t(1+1+1))+(t(1+1+1))*t(11-1-1-1)+(1+1)*t(11-1-1)+(11-1-1-1)*t(11-1)+t(11)+t(1+11))
554295842 (1+1)+(1+1)*t((11-1)/(1+1))+(1+1)*t(t(1+1+1))+(1+1+1)*t(1+t(1+1+1))+(1+1+1+1)*t(11-1-1-1)+(1+t(1+1+1))*t(11-1-1)+(11-1-1)*t(11-1)+t(11)+t(1+11)
580536366 1111111111-(1+t(1+1+1+1)+(1+1)*t((11-1)/(1+1))+((11-1)/(1+1))*t(t(1+1+1))+t(11-1-1-1)+(1+1)*t(11-1-1)+(1+1+1)*t(11-1)+t(11)+t(1+11))
587051904 1111111111-(1+t(1+1+1)+(1+1+1+1)*t(1+t(1+1+1))+t(11-1-1-1)+(1+1+1+1)*t(11-1-1)+t(11-1)+t(11)+t(1+11))
588265985 11+(t(1+1+1)+(1+1)*t(1+1+1+1)+(1+1+1)*t(t(1+1+1))+(1+t(1+1+1))*t(1+t(1+1+1))+t(11-1-1)+(11-1-1-1)*t(11-1)+(1+1)*t(11)+t(1+11))
588298051 11111111+((1+1)+(1+1+1)*t(1+1+1)+(1+1+1)*t((11-1)/(1+1))+t(t(1+1+1))+t(1+t(1+1+1))+((11-1)/(1+1))*t(11-1-1-1)+((11-1)/(1+1))*t(11-1)+(1+1)*t(11)+t(1+11))
590968352 1111111+(1+t((11-1)/(1+1))+t(t(1+1+1))+(1+1+1)*t(1+t(1+1+1))+(1+1+1+1)*t(11-1-1-1)+((11-1)/(1+1))*t(11-1-1)+(11-1-1-1)*t(11-1)+(1+1)*t(11)+t(1+11))
601194306 1111111+(1+(1+1)*(1+1)+t(1+1+1)+t(1+1+1+1)+((11-1)/(1+1))*t((11-1)/(1+1))+(t(1+1+1))*t(11-1-1-1)+(1+1+1)*t(11-1-1)+(1+1+1)*t(11)+t(1+11))
607771869 1111111+((1+1)+(1+1)*t(1+1+1)+t(1+1+1+1)+(1+1)*t((11-1)/(1+1))+t(t(1+1+1))+t(1+t(1+1+1))+(1+t(1+1+1))*t(11-1-1-1)+t(11-1-1)+(1+1)*t(11-1)+(1+1+1)*t(11)+t(1+11))
618578932 111111111+(1+(1+1)*t(1+1+1)+(1+1)*t(1+1+1+1)+(1+1)*t((11-1)/(1+1))+(1+1+1+1)*t(11-1-1-1)+(11-1-1-1)*t(11-1-1)+(1+t(1+1+1))*t(11-1)+t(1+11))
626776380 1111+(1+(1+1)*(1+1)+t(1+1+1+1)+t((11-1)/(1+1))+t(t(1+1+1))+(1+1)*t(11-1-1-1)+(1+t(1+1+1))*t(11-1-1)+(1+t(1+1+1))*t(11-1)+(1+1+1)*t(11)+t(1+11))
667919873 111111+((1+1)+t((11-1)/(1+1))+((11-1)/(1+1))*t(t(1+1+1))+((11-1)/(1+1))*t(1+t(1+1+1))+(1+1)*t(11-1-1-1)+(11-1-1-1)*t(11-1)+(1+1+1+1)*t(11)+t(1+11))
681786366 t(1+1+1)+(1+1+1)*t((11-1)/(1+1))+(1+1+1)*t(1+t(1+1+1))+(1+t(1+1+1))*t(11-1-1-1)+(11-1-1-1)*t(11-1-1)+((11-1)/(1+1))*t(11)+t(1+11)
689854904 1111+(1+(1+1+1)*t(1+1+1+1)+t((11-1)/(1+1))+((11-1)/(1+1))*t(t(1+1+1))+(1+1+1)*t(1+t(1+1+1))+t(11-1-1)+(1+1+1)*t(11-1)+((11-1)/(1+1))*t(11)+t(1+11))
692055400 11+(1+(1+1)*(1+1)+t(1+1+1+1)+(1+1+1+1)*t(t(1+1+1))+t(11-1-1-1)+(1+t(1+1+1))*t(11-1-1)+(1+1+1)*t(11-1)+((11-1)/(1+1))*t(11)+t(1+11))
697665495 1111111111-((1+1)*(1+1)+(1+1)*t(1+1+1)+(t(1+1+1))*t(t(1+1+1))+(1+1+1)*t(11-1-1-1)+(11-1-1)*t(11-1-1)+(1+1+1)*t(11-1)+(11-1)*t(11))
711608194 (1+1)*(1+1)+t(1+1+1)+t(1+1+1+1)+(1+1+1+1)*t((11-1)/(1+1))+t(11-1-1)+(11-1-1)*t(11-1)+((11-1)/(1+1))*t(11)+t(1+11)
734027104 11+(1+(1+1)*(1+1)+(1+1)*t(1+1+1+1)+(1+1)*t(t(1+1+1))+(1+t(1+1+1))*t(11-1-1-1)+(1+1)*t(11-1-1)+(1+1+1+1)*t(11-1)+(t(1+1+1))*t(11)+t(1+11))
750869335 111111111+((1+1)*(1+1)+(1+1)*t(1+1+1)+(1+1)*t(1+1+1+1)+t(t(1+1+1))+(1+1+1)*t(11-1-1)+(1+1+1+1)*t(11)+t(1+11))
757710567 11111+((1+1)*(1+1)+(1+1)*t(1+1+1)+(1+1)*t((11-1)/(1+1))+t(t(1+1+1))+t(1+t(1+1+1))+(11-1-1-1)*t(11-1-1)+(11-1)*t(11-1)+(t(1+1+1))*t(11)+t(1+11))
759967747 1111+((1+1)*t(1+1+1)+t(1+1+1+1)+t((11-1)/(1+1))+(1+1+1)*t(1+t(1+1+1))+(1+1)*t(11-1-1-1)+(1+1+1+1)*t(11-1-1)+(1+t(1+1+1))*t(11)+t(1+11))
777616154 11111+(1+(1+1)+((11-1)/(1+1))*t(t(1+1+1))+(t(1+1+1))*t(1+t(1+1+1))+(1+t(1+1+1))*t(11-1-1-1)+(1+1)*t(11-1-1)+((11-1)/(1+1))*t(11-1)+(1+t(1+1+1))*t(11)+t(1+11))
830071127 1111+((1+1)*(1+1)+(1+1)*t(1+1+1)+(1+1+1)*t(t(1+1+1))+(1+1+1+1)*t(11-1-1-1)+(1+t(1+1+1))*t(11-1-1)+(11-1-1-1)*t(11-1)+(11-1-1-1)*t(11)+t(1+11))
833809927 1111111111-(t(1+1+1+1)+(1+1+1)*t((11-1)/(1+1))+(1+1+1+1)*t(1+t(1+1+1))+t(11-1-1-1)+(1+1+1+1)*t(11-1-1)+(11-1)*t(11-1)+(t(1+1+1))*t(11))
835873060 1111111111-(1+(1+1)+(1+1)*t(1+1+1+1)+((11-1)/(1+1))*t(t(1+1+1))+(1+1)*t(1+t(1+1+1))+(1+1+1+1)*t(11-1-1-1)+(11-1-1-1)*t(11-1-1)+(11-1-1)*t(11-1)+(t(1+1+1))*t(11))
836438554 111+(1+(1+1+1)*t(1+1+1)+t(1+1+1+1)+((11-1)/(1+1))*t(11-1-1)+(11-1)*t(11-1)+(11-1-1-1)*t(11)+t(1+11))
836945593 11111111+((1+1)+(1+1)*t((11-1)/(1+1))+(1+t(1+1+1))*t(11-1-1-1)+((11-1)/(1+1))*t(11-1-1)+(1+t(1+1+1))*t(11-1)+(11-1-1-1)*t(11)+t(1+11))
863728236 1111+(1+(1+1)*(1+1)+(1+1+1)*t(t(1+1+1))+(t(1+1+1))*t(1+t(1+1+1))+t(11-1-1-1)+(1+t(1+1+1))*t(11-1)+(11-1-1)*t(11)+t(1+11))
864158514 111+(1+(1+1)+(1+1+1+1)*t(1+t(1+1+1))+(1+1+1)*t(11-1-1-1)+t(11-1-1)+(1+t(1+1+1))*t(11-1)+(11-1-1)*t(11)+t(1+11))
871273503 111111111+((1+1+1)*t(1+1+1+1)+(t(1+1+1))*t(t(1+1+1))+t(1+t(1+1+1))+(1+t(1+1+1))*t(11-1-1-1)+(1+1+1+1)*t(11-1-1)+(1+t(1+1+1))*t(11)+t(1+11))
881615667 111+((1+1)*t(1+1+1)+t(1+1+1+1)+((11-1)/(1+1))*t(t(1+1+1))+(1+1+1)*t(1+t(1+1+1))+(1+1+1+1)*t(11-1-1-1)+(11-1-1)*t(11-1-1)+(11-1)*t(11)+t(1+11))
891619600 1111111+(1+(1+1)+t(1+1+1)+(1+1)*t((11-1)/(1+1))+t(t(1+1+1))+(1+1+1+1)*t(11-1-1)+(1+1+1)*t(11-1)+(11-1)*t(11)+t(1+11))
897181691 111111+((1+1)+(1+1+1)*t(1+1+1)+(1+1)*t((11-1)/(1+1))+t(t(1+1+1))+(t(1+1+1))*t(1+t(1+1+1))+(1+1)*t(11-1-1)+((11-1)/(1+1))*t(11-1)+(11-1)*t(11)+t(1+11))
918159061 1111+(t(1+1+1)+t(1+1+1+1)+(1+1)*t((11-1)/(1+1))+t(t(1+1+1))+(t(1+1+1))*t(1+t(1+1+1))+t(11-1-1-1)+(11)*t(11)+t(1+11))
920521050 11111+(1+(1+1+1)*t(1+1+1)+(t(1+1+1))*t(t(1+1+1))+(t(1+1+1))*t(11-1-1-1)+(t(1+1+1))*t(11-1-1)+(11)*t(11)+t(1+11))
924502226 (1+1)+t(1+1+1+1)+((11-1)/(1+1))*t((11-1)/(1+1))+(t(1+1+1))*t(t(1+1+1))+(t(1+1+1))*t(11-1-1-1)+(1+t(1+1+1))*t(11-1-1)+t(11-1)+(11)*t(11)+t(1+11)
929983535 1111111111-((1+1)+t(1+1+1)+(1+1)*t(1+1+1+1)+(1+1)*t(1+t(1+1+1))+t(11-1-1-1)+(11-1-1)*t(11-1-1)+((11-1)/(1+1))*t(11-1)+(1+1+1+1)*t(11))
943162304 1111+(1+(1+1+1)*t(1+1+1+1)+t(t(1+1+1))+(1+t(1+1+1))*t(1+t(1+1+1))+(11-1-1)*t(11-1-1)+(t(1+1+1))*t(11-1)+(11)*t(11)+t(1+11))
950210939 111111111+((1+1)+(1+1+1)*t(1+1+1)+(1+1)*t(1+1+1+1)+(1+1)*t((11-1)/(1+1))+(1+1+1)*t(11-1-1-1)+(1+1)*t(11-1-1)+(11-1-1)*t(11)+t(1+11))
950214176 1111111+(1+t(1+1+1+1)+(1+1+1+1)*t((11-1)/(1+1))+(1+1)*t(1+t(1+1+1))+(1+1+1+1)*t(11-1-1-1)+((11-1)/(1+1))*t(11-1-1)+(11-1-1-1)*t(11-1)+(11)*t(11)+t(1+11))
962610357 111+(t(1+1+1)+(1+1+1+1)*t((11-1)/(1+1))+(1+1)*t(1+t(1+1+1))+(t(1+1+1))*t(11-1-1-1)+(1+1)*t(11-1-1)+t(11-1)+(1+1)*t(1+11))
974842859 111111+((1+1)+(1+1+1)*t(1+1+1)+(1+1)*t(1+1+1+1)+t(t(1+1+1))+(1+t(1+1+1))*t(1+t(1+1+1))+(t(1+1+1))*t(11-1-1)+(1+1+1+1)*t(11-1)+(1+1)*t(1+11))
988572832 1111111111-(1+(1+1)+(1+1)*t(1+1+1)+t(1+1+1+1)+t(t(1+1+1))+t(1+t(1+1+1))+(t(1+1+1))*t(11-1-1-1)+(1+t(1+1+1))*t(11-1-1)+(1+1+1)*t(11))

Was sind all diese ts in der Ausgabe?
QBrute

@QBrute heh, schrieb gerade eine Notiz dazu
Jonathan Allan

Ich bin mir ziemlich sicher, dass es 8:52 Uhr war, aber eh.
Clismique

Es ist nur sinnvoll, den von SE bereitgestellten Zeitstempel zu verwenden (bewegen Sie den Mauszeiger über die ungefähre Zeit im Revisionsverlauf, um die genaue Zeit anzuzeigen). Die Zeit der Partitur erreicht wird , war 08.53.13
Trichoplax

(Macht keinen Unterschied, wer in diesem Fall gewinnt - scheint nur der beste Weg zu sein, um etwaige Meinungsverschiedenheiten an anderer Stelle
auszuräumen

4

JavaScript (ES6), 27212498, 2016-09-12 09: 46: 34Z

f=(n,a='+',s='-',m=n*9+'',r=m.replace(/./g,1))=>r-n?m<'55'?--r/10+a+f(n-r/10,a,s):r+s+f(r-n,s,a):r;
s = '';
[945536, 16878234, 32608778, 42017515, 48950830, 51483452, 52970263, 54278649, 63636656, 78817406, 89918907, 90757642, 95364861, 102706605, 113965374, 122448605, 126594161, 148064959, 150735075, 154382918, 172057472, 192280850, 194713795, 207721209, 220946392, 225230299, 227043979, 241011012, 248906099, 249796314, 250546528, 258452706, 276862988, 277140688, 280158490, 286074562, 308946627, 310972897, 322612091, 324445400, 336060042, 346729632, 349428326, 352769482, 363039453, 363851029, 392168304, 401975104, 407890409, 407971913, 425780757, 459441559, 465592122, 475898732, 482826596, 484263150, 506235403, 548951531, 554295842, 580536366, 587051904, 588265985, 588298051, 590968352, 601194306, 607771869, 618578932, 626776380, 667919873, 681786366, 689854904, 692055400, 697665495, 711608194, 734027104, 750869335, 757710567, 759967747, 777616154, 830071127, 833809927, 835873060, 836438554, 836945593, 863728236, 864158514, 871273503, 881615667, 891619600, 897181691, 918159061, 920521050, 924502226, 929983535, 943162304, 950210939, 950214176, 962610357, 974842859, 988572832].forEach(n => { s += f(n); console.log(n, f(n)); });
l = s.match(/1/g).length;
console.log((s.length - l) * l);

Verwendet nur + und -. Basierend auf meiner Antwort, um diese zu minimieren


2106? Dies ist eine sehr späte Antwort: P
Nur ASCII

4

Python

Primary Score = 2214138604871819402525

Sekundäres Ergebnis = 09.12.2016, 07:53 Uhr

Hier ist der Code:

def print_1s(n):
    return ("1+" * n)[:-1]

Nur um den Ball ins Rollen zu bringen.

Grundsätzlich wird ausgegeben 1+1+1...+1, wobei die Anzahl der 1in dem ausgegebenen Ausdruck enthaltenen Werte gleich ist n.

Insgesamt gibt es 47054634305 1für die Menge der Zahlen und 47054634205Operatoren (die alle sind +).

Ich werde hier keinen Pastebin posten, weil du auf die Idee kommst.


Erfüllt dies tatsächlich alle Anforderungen? Ich bekomme einen Overflow-Fehler beim Aufruf mit 2**31-1.
Jakube

@ Jakube Heh, heh, heh ...
Clismique

@trichoplax Wie summiert sich das auf n-1? Es funktioniert gut für mich.
Clismique

2

awk

Primäre Punktzahl 46933701

sekundäre Punktzahl 12/09/2016 19:20

(6901 Einsen, 6801 Ops)

{
    for(b=""; $0; $0=int($0/2))
        b=and($0, 1) b
    for(chall=""; length(b=substr(b,2)); ) {
        if(chall!="")
            chall=chall"*"
        chall=chall"(1+1)"
        if(substr(b, 1, 1)=="1") {
            chall=chall"+1"
            if(length(b)>1)
                chall="("chall")"
        }
    }
    print chall
}

Druckt einfach die von links nach rechts berechnete Binärdarstellung.

Zum Beispiel ist 19 10011, was ((((( 1 ) * 2 + 0 ) * 2 + 0 ) * 2 + 1 ) * 2 + 1 ) ist.

Ich lasse das einfach aus +0und schreibe das 2als (1+1).

Ich war nur gespannt, wie diese Methode abschneiden würde.

Ausgabe:

945536: ((((((((1 + 1) +1) * (1 + 1) +1) * (1 + 1) * (1 + 1) * (1 + 1) +1) * ( 1 + 1) +1) * (1 + 1) * (1 + 1) +1) * (1 + 1) +1) * (1 + 1) * (1 + 1) +1) * (1+ 1) +1) * (1 + 1) * (1 + 1) * (1 + 1) * (1 + 1) * (1 + 1) * (1 + 1) * (1 + 1)
16878234: ((((((((1 + 1) * (1 + 1) * (1 + 1) * (1 + 1) * (1 + 1) * (1 + 1) * (1 + 1) ) * (1 + 1) +1) * (1 + 1) +1) * (1 + 1) * (1 + 1) * (1 + 1) * (1 + 1) +1) * (1+ 1) * (1 + 1) +1) * (1 + 1) * (1 + 1) +1) * (1 + 1) * (1 + 1) * (1 + 1) +1) * (1 +1) +1) * (1 + 1) * (1 + 1) +1) * (1 + 1)
32608778: (((((((((((1 + 1) +1) * (1 + 1) +1) * (1 + 1) +1) * (1 + 1) +1) * (1 +1) * (1 + 1) * (1 + 1) * (1 + 1) +1) * (1 + 1) +1) * (1 + 1) * (1 + 1) * (1 + 1 ) +1) * (1 + 1) * (1 + 1) * (1 + 1) +1) * (1 + 1) * (1 + 1) * (1 + 1) * (1 + 1) * (1 + 1) * (1 + 1) +1) * (1 + 1) * (1 + 1) +1) * (1 + 1)
42017515: (((((((((1 + 1) * (1 + 1) +1) * (1 + 1) * (1 + 1) * (1 + 1) * (1 + 1) * (1 + 1) * (1 + 1) * (1 + 1) +1) * (1 + 1) * (1 + 1) * (1 + 1) +1) * (1 + 1) * (1 +1) * (1 + 1) * (1 + 1) +1) * (1 + 1) * (1 + 1) +1) * (1 + 1) +1) * (1 + 1) +1 ) * (1 + 1) * (1 + 1) +1) * (1 + 1) * (1 + 1) +1) * (1 + 1) +1
48950830: (((((((((((((((((1 + 1) * (1 + 1) +1) * (1 + 1) +1) * (1 + 1) +1) * (1 + 1) * (1 + 1) +1) * (1 + 1) * (1 + 1) +1) * (1 + 1) * (1 + 1) +1) * (1 + 1) +1) * (1 + 1) +1) * (1 + 1) * (1 + 1) +1) * (1 + 1) +1) * (1 + 1) +1) * (1 + 1 ) * (1 + 1) * (1 + 1) * (1 + 1) +1) * (1 + 1) * (1 + 1) +1) * (1 + 1) +1) * (1+ 1) +1) * (1 + 1)
51483452: ((((((((((((1 + 1) +1) * (1 + 1) * (1 + 1) * (1 + 1) * (1 + 1) +1) * ( 1 + 1) * (1 + 1) * (1 + 1) * (1 + 1) +1) * (1 + 1) +1) * (1 + 1) * (1 + 1) * (1+ 1) +1) * (1 + 1) * (1 + 1) * (1 + 1) +1) * (1 + 1) +1) * (1 + 1) * (1 + 1) * (1 +1) +1) * (1 + 1) +1) * (1 + 1) +1) * (1 + 1) +1) * (1 + 1) * (1 + 1)
52970263: (((((((((1 + 1) +1) * (1 + 1) * (1 + 1) * (1 + 1) +1) * (1 + 1) * (1+ 1) +1) * (1 + 1) * (1 + 1) * (1 + 1) * (1 + 1) * (1 + 1) +1) * (1 + 1) * (1 + 1) * (1 + 1) * (1 + 1) * (1 + 1) +1) * (1 + 1) +1) * (1 + 1) * (1 + 1) * (1 + 1) * ( 1 + 1) +1) * (1 + 1) * (1 + 1) +1) * (1 + 1) +1) * (1 + 1) +1
54278649: ((((((((((((((((1 + 1) +1) * (1 + 1) * (1 + 1) * (1 + 1) +1) * (1 + 1 ) +1) * (1 + 1) +1) * (1 + 1) +1) * (1 + 1) * (1 + 1) * (1 + 1) * (1 + 1) * (1+ 1) +1) * (1 + 1) +1) * (1 + 1) +1) * (1 + 1) * (1 + 1) * (1 + 1) +1) * (1 + 1) +1) * (1 + 1) +1) * (1 + 1) +1) * (1 + 1) +1) * (1 + 1) +1) * (1 + 1) * (1 + 1 ) * (1 + 1) +1
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897181691: (((((((((((((((((((((((1 + 1) +1)) * (1 + 1) * (1 + 1) +1)) *) ) * (1 + 1) +1) * (1 + 1) * (1 + 1) +1) * (1 + 1) +1) * (1 + 1) +1) * (1 + 1) + 1) * (1 + 1) * (1 + 1) * (1 + 1) +1) * (1 + 1) +1) * (1 + 1) +1) * (1 + 1) +1) * (1 + 1) * (1 + 1) * (1 + 1) +1) * (1 + 1) +1) * (1 + 1) +1) * (1 + 1) +1) * ( 1 + 1) +1) * (1 + 1) +1) * (1 + 1) +1) * (1 + 1) +1) * (1 + 1) * (1 + 1) +1) * (1 + 1) +1
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929983535: (((((((((((((((((((1 + 1) +1)) * (1 + 1) * (1 + 1) +1) * (1 + 1) +1 ) * (1 + 1) +1) * (1 + 1) * (1 + 1) +1) * (1 + 1) +1) * (1 + 1) * (1 + 1) +1) * (1 + 1) +1) * (1 + 1) +1) * (1 + 1) * (1 + 1) * (1 + 1) +1) * (1 + 1) +1) * (1 +1) * (1 + 1) +1) * (1 + 1) +1) * (1 + 1) * (1 + 1) * (1 + 1) * (1 + 1) * (1 + 1 ) +1) * (1 + 1) * (1 + 1) +1) * (1 + 1) +1) * (1 + 1) +1) * (1 + 1) +1
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962610357: ((((((((((((1 + 1) +1) * (1 + 1) +1) * (1 + 1) * (1 + 1) * (1 + 1) +1 ) * (1 + 1) * (1 + 1) +1) * (1 + 1) +1) * (1 + 1) * (1 + 1) * (1 + 1) * (1 + 1) * (1 + 1) * (1 + 1) * (1 + 1) +1) * (1 + 1) * (1 + 1) * (1 + 1) * (1 + 1) +1) * (1 +1) * (1 + 1) * (1 + 1) +1) * (1 + 1) * (1 + 1) +1) * (1 + 1) +1) * (1 + 1) * ( 1 + 1) +1) * (1 + 1) * (1 + 1) +1
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988572832: ((((((((((((((((1 + 1) +1) * (1 + 1) +1) * (1 + 1) * (1 + 1) +1) * ( 1 + 1) * (1 + 1) +1) * (1 + 1) +1) * (1 + 1) +1) * (1 + 1) * (1 + 1) +1) * (1+ 1) +1) * (1 + 1) * (1 + 1) * (1 + 1) * (1 + 1) +1) * (1 + 1) +1) * (1 + 1) * (1 +1) +1) * (1 + 1) +1) * (1 + 1) * (1 + 1) * (1 + 1) +1) * (1 + 1) * (1 + 1) +1 ) * (1 + 1) * (1 + 1) * (1 + 1) * (1 + 1) * (1 + 1)

2

Python 3

Primäre Punktzahl: 69720516

Sekundäre Punktzahl: 09:30 14/09/2016

def genNum(num):
    dic = { 
        6: "(1+1+1)!",
        24: "(1+1+1+1)!",
        120: "((1+1+1)!-1)!",
        720: "((1+1+1)!)!",
        5040: "((1+1+1)!+1)!",
        40320: "((1+1+1)!+1+1)!",
        362880: "(11-1-1)!",
        39916800: "(11)!",
        479001600: "(11+1)!",
        6227020800: "(11+1+1)!"
    }

    lis = [6227020800,479001600,39916800,362880,40320,5040,720,120,24,6]
    out = ""

    for i in lis:
        if num/i >= 1:
            st = dic[i] + "*(" + genNum(num // i) + ")"
            out += st

            if num%i != 0:
               out += "+" + genNum(num%i)

          return out

    else:
        st = "1+"*num

    return st[:-1]

Bearbeiten: Verwendet nun die Multiplikation, um die Punktzahl erheblich zu reduzieren.

Dabei werden die Fakultäten und die Rekursion in hohem Maße genutzt. Insgesamt verwendet das Programm:

  • 5958 Einsen
  • 11702 Betreiber

Ideone es!


1

JAVA

Primäre Punktzahl 1045978739

Sekundäre Punktzahl 12/09/2016 16:05

37193 1s

28123 operators

     void main() {

    int arr[]={945536, 16878234, 32608778, 42017515, 48950830, 51483452, 52970263, 54278649, 63636656, 78817406, 89918907, 90757642, 95364861, 102706605, 113965374, 122448605, 126594161, 148064959, 150735075, 154382918, 172057472, 192280850, 194713795, 207721209, 220946392, 225230299, 227043979, 241011012, 248906099, 249796314, 250546528, 258452706, 276862988, 277140688, 280158490, 286074562, 308946627, 310972897, 322612091, 324445400, 336060042, 346729632, 349428326, 352769482, 363039453, 363851029, 392168304, 401975104, 407890409, 407971913, 425780757, 459441559, 465592122, 475898732, 482826596, 484263150, 506235403, 548951531, 554295842, 580536366, 587051904, 588265985, 588298051, 590968352, 601194306, 607771869, 618578932, 626776380, 667919873, 681786366, 689854904, 692055400, 697665495, 711608194, 734027104, 750869335, 757710567, 759967747, 777616154, 830071127, 833809927, 835873060, 836438554, 836945593, 863728236, 864158514, 871273503, 881615667, 891619600, 897181691, 918159061, 920521050, 924502226, 929983535, 943162304, 950210939, 950214176, 962610357, 974842859, 988572832

};
    int sum=1;
    for(int i=0;i<arr.length;i++){
    System.out.print(arr[i]+":");
        while(arr[i]>11){
            System.out.print("("+"1");
            sum=11;
            while(sum<=arr[i]){
            if(sum<=arr[i])
            System.out.print("*11");
            sum*=11;
        }
        arr[i]=arr[i]-sum/11;
        System.out.print(")");
        if(arr[i]!=0)
        System.out.print("+");

        }
        while(arr[i]--!=0){
        System.out.print(1);
        if(arr[i]!=0)
            System.out.print("+");
    }

        System.out.println();



    }
    }


945536:(1*11*11*11*11*11)+(1*11*11*11*11*11)+(1*11*11*11*11*11)+(1*11*11*11*11*11)+(1*11*11*11*11*11)+(1*11*11*11*11)+(1*11*11*11*11)+(1*11*11*11*11)+(1*11*11*11*11)+(1*11*11*11*11)+(1*11*11*11*11)+(1*11*11*11*11)+(1*11*11*11*11)+(1*11*11*11*11)+(1*11*11*11)+(1*11*11*11)+(1*11*11*11)+(1*11*11*11)+(1*11*11*11)+(1*11*11*11)+(1*11*11)+(1*11*11)+(1*11*11)+(1*11*11)+(1*11)+(1*11)+(1*11)+1+1+1+1+1+1+1+1+1
16878234:(1*11*11*11*11*11*11)+(1*11*11*11*11*11*11)+(1*11*11*11*11*11*11)+(1*11*11*11*11*11*11)+(1*11*11*11*11*11*11)+(1*11*11*11*11*11*11)+(1*11*11*11*11*11*11)+(1*11*11*11*11*11*11)+(1*11*11*11*11*11*11)+(1*11*11*11*11*11)+(1*11*11*11*11*11)+(1*11*11*11*11*11)+(1*11*11*11*11*11)+(1*11*11*11*11*11)+(1*11*11*11*11)+(1*11*11*11*11)+(1*11*11*11*11)+(1*11*11*11*11)+(1*11*11*11*11)+(1*11*11*11*11)+(1*11*11*11*11)+(1*11*11*11*11)+(1*11*11*11)+(1*11*11*11)+(1*11*11*11)+(1*11*11*11)+(1*11*11*11)+(1*11*11*11)+(1*11*11*11)+(1*11*11*11)+(1*11*11)+(1*11*11)+(1*11*11)+(1*11*11)+(1*11*11)+(1*11*11)+(1*11*11)+(1*11*11)+(1*11*11)+(1*11)+(1*11)+(1*11)+(1*11)+(1*11)+1+1+1+1+1+1+1+1+1+1
32608778:(1*11*11*11*11*11*11*11)+(1*11*11*11*11*11*11)+(1*11*11*11*11*11*11)+(1*11*11*11*11*11*11)+(1*11*11*11*11*11*11)+(1*11*11*11*11*11*11)+(1*11*11*11*11*11*11)+(1*11*11*11*11*11*11)+(1*11*11*11*11*11)+(1*11*11*11*11*11)+(1*11*11*11*11*11)+(1*11*11*11*11*11)+(1*11*11*11*11)+(1*11*11*11*11)+(1*11*11*11*11)+(1*11*11*11*11)+(1*11*11*11*11)+(1*11*11*11)+(1*11*11*11)+(1*11*11)+(1*11*11)+(1*11*11)+(1*11*11)+(1*11*11)+1+1+1+1
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Ich denke, Sie können die unnötigen 1zu Beginn eines jeden loswerden (1*11*11*...*11).
Clismique

1

Emacs Lisp

Primäre Punktzahl: 81638725
Sekundäre Punktzahl: 12/09/2016 09:35

(defun 1s (n)
  (let((x 1)r)
    (while (> (/ n x) 11)
      (setq x (1+ (* x 10))))
    (while (> n 0)
      (while (>= n x)
        (push x r)
        (push '+ r)
        (setq n (- n x)))
      (setq x (/ x 10)))
    r))

Bildet im Grunde genommen eine Summe über die Domain (1, 11, 111, ...), die n entspricht.


Nach dem, was ich in Ihrem Programm verstehe, gibt es eine Eingabe wie 124 aus 111+11+1+1, oder? (Korrigieren Sie mich, wenn ich mich irre.)
Clismique

(Auch die Zeit ist in GMT.)
Clismique

1
Wie kann dies eine Punktzahl von <1 Million haben? Haben Sie alle 1s über die gesamte Ausgabe von 100 Zahlen addiert und diese mit der Gesamtzahl der +Operationen über die gesamte Ausgabe multipliziert ?
Jonathan Allan

2
Dies hat eine Punktzahl von 81638725
Jonathan Allan

Ich verstehe nicht, warum dies abgelehnt wird. Stimmt irgendetwas nicht?

1

AWK , 15642720

Sekundäres Ergebnis = 30.05.2017, 21:11 Uhr

BEGIN{RS="[,\n]"}
func f2(x) {
  div=int(x/11)
  mod=x%11
}
func trans(z){
  r=""
  if (z > 6) {
    r="11"
    for (i=11;i>z;i--){
      r=r"-1"
    }
  } else if (z>0){
    r=r 1
    for (i=1;i<z;i++){
      r=r"+1"
    }
  }
}
{n=$1
 do {f2(n)
   trans(mod)
   if (r) s=s"(" r  ")"
   if(div){
     if (r)s=s"+"
     s=s"11*("
     count++
   }
   n=div
 } while(div >10)
 trans(div)
 s = s r
 for (i=0;i<count;i++)s = s")"
 print $1": " s
 slength+=length(s)
 ones+=gsub("1","",s);
 parens+=gsub("[()]","",s);
 ops+=length(s);
 s=""
 count=0;
}
END {
  print "Total string length: " slength
  print "Ones: " ones
  print "Ops: " ops
  print "Parens: " parens
  print "Primary Score="ones*ops
}

Probieren Sie es online!

Eine: 4590

Ops: 3408 Primärer Score = 15642720 Sekundärer Score = 30.05.2017 21:11

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