title: There can be only 1!

text:
# Question
Title: There can be only 1!
Your task is, given a positive integer `n`, to generate an expression that equals the number `n`.

The catch is: you're only allowed the number `1` in the output.

The operators at your disposal are:

* `+`, `-`, `*` and `/`
    + `/` is floating-point division (so `5/2 = 2.5`).
* `sqrt` (as `s`)
* `ceil` and `floor` (as `c` and `f` respectively)
* `!` (factorial)
    + The factorial, in this case, only works for positive integers.

You are also allowed to stack `1`'s together, so something like `11` is acceptable in the output. However, they count as the same number of `1`'s that's in the number (so `11` counts as 2 `1`'s).

You must also include brackets in the output, so that the expression in the output, when executed through the order of operations, will result in the input. They do not count as operations, though.

## Examples:

* Input = 24, one possible output = `(1+1+1+1)!`
* Input = 11, one possible output = `11`
* Input = 5, one possible output = `c(s((1+1+1+1)!))`
    + The ceiling of the square root of `24` is `5`.

## Rules:

* You are guaranteed that the input is a positive integer from `1` to `2^31-1`.
* Your program must work for any positive integer up to `2^31-1`, even if they are not tested.
* Your program must finish processing all outputs for all numbers in the set in 1 hour.
* The results for every run of the program must be exactly the same - also, no seeds.
* You are only allowed to hardcode the expressions for a maximum of 10 numerical values.
* You are not allowed to have imaginary numbers anywhere in the output (so no `s(some negative number)`).
* You are also not allowed to have numbers larger than `2^31-1` or smaller than `-2^31+1` anywhere in the output, even when they are `sqrt`ed or `/`ed (so no `(((1+1+1)!)!)!` or `((1+1+1+1)!)!`).

## Set of Numbers:

```
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

```

(These are 100 random numbers from 1 to 1 billion.)

## Scoring System:

Your score is determined like so:

* Your program will be tested against the random numbers in the set.
    + You must provide the output generated using the random numbers in the set (either inside your answer or as a pastebin link).
* Your then have two "scores": A primary score and a secondary score.
    + Your primary score is `(no. of 1's in output)*(no. of operators in output)`. If your primary score is the lowest, you win.
    + Your secondary score is the time of your upload, in GMT, and in 24-hour time. So, if you upload your program on September 12th, 00:00 GMT, then your score is `12/09/2016, 00:00` (use `DD/MM/YYYY HH:MM` for your formatting).

Display your score like so:

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

```

Replace all the things in the brackets with your language name, primary score and secondary score respectively.

## Current Winner:

### The current winner is @ChrisJefferson, who has a primary score of `3,810,660`.

# Answer
# C++11

Further small update: Do much less adding, and try all numbers of form A\*B+C. I believe that, within the time limit, this is fairly close to optimal, assuming you only use `+`, `*` and `!`. I leave other operators to people with more time than me!

Small update: Try harder to make use of factorials and numbers like 11....111. Also fixed bug that I wasn't counting `!` in my costing

New result:

Primary Score = 3,810,660

Secondary Score = 12/09/2016 20:00

2532 `1`s, 1505 operators.

Various tricks put together. My program starts by setting the shortest program for all factorials and numbers of the form 111..111 (I don't think this falls foul of the hard-wiring rule, as these are the shortest ways to make these numbers. I could rearrange my code so I check these patterns in my dynamic programming if you want). Then do a partial dynamic programming approach, trying various forms:

* A + B
* A\*B + C
* A! + B
* 11....11 + B

Unfortunately I can't try all the ways of decomposing a number, so I choose for factorial and 11...11 to only try the nearest number, for A+B to try things near A/2, and for A\*B+C to try only quite small As.

It would be easy to extend this to try some '-'s, by trying to overshoot slightly sometimes (particular in A\*B - C), but I quite like only trying to grow.

Also, it is very hard to optimise the optimisation condition (I don't like it!) because in principle you can't come up with a 'best' value for each number in isolation, you have to consider your set of answers globally (which I don't intend to do).

Warning: This program needs a 64-bit machine, and around 10GB of memory (as I inefficiently make a giant array for all partially-computed results).

Program:

```
#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";

}

```

Results:

```
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))

```
> 25 votes

# Answer
# Haskell

**Primary score: 27242281**

**Secondary score: 12/09/2016 09:01**

**11891 `1`'s, 2291 operators**

```
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

```

It basically finds the shortest way to make it using only + and -

Output:

```
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)))))))))))))))))))))))

```
> 7 votes

# Answer
# Python, score 17136288

secondary score: 12/09/2016 08:53
(4784 ones and 3582 operations)

Work in progress but OP asked for my current code...

```
# 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

```

Output - note that `t` is the factorial function, so as not to be confused with `f` for `floor` if it gets used - I evaluated each using the function `t` (above) to double check that they are all correct:

```
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))

```
> 5 votes

# Answer
# Python

**Primary Score = 2214138604871819402525**

**Secondary Score = 12/09/2016, 07:53**

Here is the code:

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

```

Just to get the ball rollin'.

Basically outputs `1+1+1...+1`, where the number of `1`'s in the outputted expression is equal to `n`.

In total, there are `47054634305` `1`'s for the set of numbers, and `47054634205` operators (which are all `+`'s).

Not going to post a pastebin here, because you get the idea.
> 4 votes

# Answer
## 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);
```

Only uses + and -. Based on my answer to Minimize Those Ones
> 4 votes

# Answer
# Python 3

**Primary Score: `69720516`**

**Secondary Score: `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]

```

***Edit:*** Now uses multiplication to greatly reduce the score.

This makes great use of factorials and recursion. In total, the program uses:

* **`5958` ones**
* **`11702` operators**

**Ideone it!**
> 2 votes

# Answer
# awk

**primary score 46933701**

**secondary score 12/09/2016 19:20**

**(6901 ones, 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
}

```

Simply prints the binary representation calculated from left to right.

For example 19 is 10011 which is (((((**1**)\*2+**0**)\*2+**0**)\*2+**1**)\*2+**1**).

I just leave out the `+0` and write the `2` as `(1+1)`.

I was just curious about how this method would be scoring.

Output:

```
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
63636656: (((((((((((1+1)+1)*(1+1)+1)*(1+1)+1)*(1+1)*(1+1)*(1+1)+1)*(1+1)*(1+1)+1)*(1+1)+1)*(1+1)*(1+1)*(1+1)*(1+1)*(1+1)*(1+1)+1)*(1+1)*(1+1)*(1+1)+1)*(1+1)*(1+1)+1)*(1+1)+1)*(1+1)*(1+1)*(1+1)*(1+1)
78817406: ((((((((((((((1+1)*(1+1)*(1+1)+1)*(1+1)*(1+1)+1)*(1+1)+1)*(1+1)*(1+1)*(1+1)+1)*(1+1)*(1+1)+1)*(1+1)*(1+1)+1)*(1+1)*(1+1)+1)*(1+1)*(1+1)*(1+1)*(1+1)*(1+1)+1)*(1+1)+1)*(1+1)+1)*(1+1)+1)*(1+1)+1)*(1+1)+1)*(1+1)
89918907: ((((((((((((((1+1)*(1+1)+1)*(1+1)*(1+1)+1)*(1+1)*(1+1)+1)*(1+1)+1)*(1+1)+1)*(1+1)*(1+1)*(1+1)*(1+1)*(1+1)*(1+1)*(1+1)+1)*(1+1)+1)*(1+1)*(1+1)+1)*(1+1)+1)*(1+1)*(1+1)+1)*(1+1)+1)*(1+1)+1)*(1+1)*(1+1)+1)*(1+1)+1
90757642: ((((((((((((1+1)*(1+1)+1)*(1+1)*(1+1)+1)*(1+1)+1)*(1+1)*(1+1)+1)*(1+1)*(1+1)*(1+1)*(1+1)+1)*(1+1)+1)*(1+1)*(1+1)+1)*(1+1)+1)*(1+1)*(1+1)+1)*(1+1)*(1+1)*(1+1)*(1+1)*(1+1)*(1+1)+1)*(1+1)*(1+1)+1)*(1+1)
95364861: (((((((((((((((((1+1)*(1+1)+1)*(1+1)+1)*(1+1)*(1+1)+1)*(1+1)*(1+1)+1)*(1+1)+1)*(1+1)+1)*(1+1)+1)*(1+1)*(1+1)*(1+1)+1)*(1+1)*(1+1)*(1+1)+1)*(1+1)+1)*(1+1)*(1+1)+1)*(1+1)+1)*(1+1)+1)*(1+1)+1)*(1+1)+1)*(1+1)+1)*(1+1)*(1+1)+1
102706605: (((((((((((((((1+1)+1)*(1+1)*(1+1)*(1+1)*(1+1)*(1+1)+1)*(1+1)+1)*(1+1)+1)*(1+1)+1)*(1+1)+1)*(1+1)*(1+1)*(1+1)+1)*(1+1)*(1+1)+1)*(1+1)+1)*(1+1)*(1+1)+1)*(1+1)+1)*(1+1)*(1+1)+1)*(1+1)*(1+1)+1)*(1+1)+1)*(1+1)*(1+1)+1
113965374: (((((((((((((((((1+1)+1)*(1+1)*(1+1)+1)*(1+1)+1)*(1+1)*(1+1)*(1+1)+1)*(1+1)*(1+1)+1)*(1+1)*(1+1)+1)*(1+1)+1)*(1+1)+1)*(1+1)+1)*(1+1)+1)*(1+1)*(1+1)*(1+1)+1)*(1+1)*(1+1)*(1+1)+1)*(1+1)+1)*(1+1)+1)*(1+1)+1)*(1+1)+1)*(1+1)
122448605: (((((((((((((((1+1)+1)*(1+1)+1)*(1+1)*(1+1)+1)*(1+1)*(1+1)*(1+1)+1)*(1+1)+1)*(1+1)*(1+1)*(1+1)*(1+1)+1)*(1+1)+1)*(1+1)*(1+1)+1)*(1+1)*(1+1)+1)*(1+1)*(1+1)+1)*(1+1)+1)*(1+1)*(1+1)+1)*(1+1)+1)*(1+1)+1)*(1+1)*(1+1)+1
126594161: ((((((((((((((1+1)+1)*(1+1)+1)*(1+1)+1)*(1+1)*(1+1)*(1+1)*(1+1)+1)*(1+1)*(1+1)+1)*(1+1)+1)*(1+1)+1)*(1+1)*(1+1)+1)*(1+1)*(1+1)+1)*(1+1)+1)*(1+1)*(1+1)*(1+1)*(1+1)+1)*(1+1)+1)*(1+1)+1)*(1+1)*(1+1)*(1+1)*(1+1)+1
148064959: (((((((((((((((1+1)*(1+1)*(1+1)*(1+1)+1)*(1+1)+1)*(1+1)*(1+1)+1)*(1+1)*(1+1)*(1+1)+1)*(1+1)+1)*(1+1)*(1+1)+1)*(1+1)*(1+1)*(1+1)+1)*(1+1)*(1+1)+1)*(1+1)*(1+1)+1)*(1+1)*(1+1)+1)*(1+1)+1)*(1+1)+1)*(1+1)+1)*(1+1)+1)*(1+1)+1
150735075: ((((((((((((1+1)*(1+1)*(1+1)*(1+1)+1)*(1+1)+1)*(1+1)+1)*(1+1)+1)*(1+1)+1)*(1+1)+1)*(1+1)*(1+1)*(1+1)*(1+1)*(1+1)*(1+1)*(1+1)+1)*(1+1)*(1+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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681786366: ((((((((((((((((((1+1)*(1+1)+1)*(1+1)*(1+1)*(1+1)*(1+1)+1)*(1+1)*(1+1)+1)*(1+1)*(1+1)*(1+1)*(1+1)+1)*(1+1)+1)*(1+1)*(1+1)*(1+1)+1)*(1+1)+1)*(1+1)+1)*(1+1)*(1+1)+1)*(1+1)+1)*(1+1)+1)*(1+1)+1)*(1+1)+1)*(1+1)+1)*(1+1)+1)*(1+1)+1)*(1+1)+1)*(1+1)
689854904: (((((((((((((((1+1)*(1+1)+1)*(1+1)*(1+1)*(1+1)+1)*(1+1)*(1+1)*(1+1)*(1+1)+1)*(1+1)+1)*(1+1)+1)*(1+1)+1)*(1+1)*(1+1)*(1+1)+1)*(1+1)*(1+1)+1)*(1+1)+1)*(1+1)*(1+1)*(1+1)+1)*(1+1)+1)*(1+1)*(1+1)+1)*(1+1)+1)*(1+1)+1)*(1+1)*(1+1)*(1+1)
692055400: ((((((((((((((((((1+1)*(1+1)+1)*(1+1)*(1+1)*(1+1)+1)*(1+1)*(1+1)*(1+1)+1)*(1+1)+1)*(1+1)+1)*(1+1)+1)*(1+1)+1)*(1+1)+1)*(1+1)+1)*(1+1)+1)*(1+1)+1)*(1+1)*(1+1)+1)*(1+1)+1)*(1+1)*(1+1)+1)*(1+1)*(1+1)+1)*(1+1)+1)*(1+1)*(1+1)+1)*(1+1)*(1+1)*(1+1)
697665495: ((((((((((((((((1+1)*(1+1)+1)*(1+1)*(1+1)*(1+1)+1)*(1+1)+1)*(1+1)*(1+1)*(1+1)+1)*(1+1)*(1+1)+1)*(1+1)*(1+1)+1)*(1+1)+1)*(1+1)*(1+1)*(1+1)*(1+1)*(1+1)+1)*(1+1)+1)*(1+1)+1)*(1+1)+1)*(1+1)+1)*(1+1)*(1+1)+1)*(1+1)*(1+1)+1)*(1+1)+1)*(1+1)+1
711608194: (((((((((((((1+1)*(1+1)+1)*(1+1)*(1+1)+1)*(1+1)*(1+1)*(1+1)+1)*(1+1)+1)*(1+1)*(1+1)+1)*(1+1)*(1+1)+1)*(1+1)*(1+1)*(1+1)+1)*(1+1)*(1+1)*(1+1)*(1+1)+1)*(1+1)+1)*(1+1)+1)*(1+1)+1)*(1+1)*(1+1)*(1+1)*(1+1)*(1+1)*(1+1)+1)*(1+1)
734027104: (((((((((((((1+1)*(1+1)+1)*(1+1)*(1+1)+1)*(1+1)+1)*(1+1)+1)*(1+1)+1)*(1+1)*(1+1)*(1+1)*(1+1)*(1+1)*(1+1)*(1+1)*(1+1)+1)*(1+1)*(1+1)+1)*(1+1)+1)*(1+1)+1)*(1+1)*(1+1)+1)*(1+1)*(1+1)+1)*(1+1)+1)*(1+1)*(1+1)*(1+1)*(1+1)*(1+1)
750869335: (((((((((((((((1+1)*(1+1)+1)*(1+1)+1)*(1+1)*(1+1)*(1+1)+1)*(1+1)+1)*(1+1)*(1+1)*(1+1)*(1+1)*(1+1)*(1+1)+1)*(1+1)*(1+1)+1)*(1+1)*(1+1)+1)*(1+1)+1)*(1+1)*(1+1)+1)*(1+1)+1)*(1+1)*(1+1)+1)*(1+1)*(1+1)+1)*(1+1)*(1+1)+1)*(1+1)+1)*(1+1)+1
757710567: ((((((((((((((((((1+1)*(1+1)+1)*(1+1)+1)*(1+1)*(1+1)+1)*(1+1)*(1+1)*(1+1)+1)*(1+1)*(1+1)+1)*(1+1)*(1+1)*(1+1)+1)*(1+1)+1)*(1+1)*(1+1)+1)*(1+1)+1)*(1+1)+1)*(1+1)+1)*(1+1)+1)*(1+1)*(1+1)+1)*(1+1)+1)*(1+1)+1)*(1+1)*(1+1)*(1+1)+1)*(1+1)+1)*(1+1)+1
759967747: ((((((((((1+1)*(1+1)+1)*(1+1)+1)*(1+1)*(1+1)+1)*(1+1)*(1+1)+1)*(1+1)*(1+1)*(1+1)+1)*(1+1)+1)*(1+1)*(1+1)*(1+1)*(1+1)*(1+1)+1)*(1+1)+1)*(1+1)*(1+1)*(1+1)*(1+1)*(1+1)*(1+1)*(1+1)*(1+1)*(1+1)*(1+1)*(1+1)+1)*(1+1)+1
777616154: (((((((((((((((((1+1)*(1+1)+1)*(1+1)+1)*(1+1)+1)*(1+1)*(1+1)*(1+1)+1)*(1+1)*(1+1)+1)*(1+1)+1)*(1+1)*(1+1)*(1+1)+1)*(1+1)*(1+1)+1)*(1+1)+1)*(1+1)+1)*(1+1)+1)*(1+1)*(1+1)+1)*(1+1)+1)*(1+1)*(1+1)*(1+1)*(1+1)+1)*(1+1)+1)*(1+1)*(1+1)+1)*(1+1)
830071127: ((((((((((((((((1+1)+1)*(1+1)*(1+1)*(1+1)*(1+1)+1)*(1+1)*(1+1)+1)*(1+1)+1)*(1+1)+1)*(1+1)+1)*(1+1)*(1+1)*(1+1)+1)*(1+1)+1)*(1+1)+1)*(1+1)+1)*(1+1)*(1+1)*(1+1)*(1+1)*(1+1)+1)*(1+1)*(1+1)+1)*(1+1)*(1+1)+1)*(1+1)*(1+1)+1)*(1+1)+1)*(1+1)+1
833809927: (((((((((((((((1+1)+1)*(1+1)*(1+1)*(1+1)*(1+1)+1)*(1+1)+1)*(1+1)*(1+1)+1)*(1+1)+1)*(1+1)*(1+1)*(1+1)+1)*(1+1)*(1+1)+1)*(1+1)+1)*(1+1)+1)*(1+1)*(1+1)+1)*(1+1)+1)*(1+1)+1)*(1+1)*(1+1)*(1+1)*(1+1)*(1+1)*(1+1)*(1+1)+1)*(1+1)+1)*(1+1)+1
835873060: (((((((((((((1+1)+1)*(1+1)*(1+1)*(1+1)*(1+1)+1)*(1+1)+1)*(1+1)+1)*(1+1)*(1+1)+1)*(1+1)*(1+1)*(1+1)+1)*(1+1)*(1+1)*(1+1)+1)*(1+1)+1)*(1+1)*(1+1)+1)*(1+1)*(1+1)*(1+1)+1)*(1+1)*(1+1)*(1+1)+1)*(1+1)*(1+1)*(1+1)+1)*(1+1)*(1+1)
836438554: ((((((((((((((1+1)+1)*(1+1)*(1+1)*(1+1)*(1+1)+1)*(1+1)+1)*(1+1)+1)*(1+1)*(1+1)+1)*(1+1)+1)*(1+1)*(1+1)+1)*(1+1)+1)*(1+1)*(1+1)*(1+1)*(1+1)*(1+1)+1)*(1+1)*(1+1)+1)*(1+1)*(1+1)*(1+1)*(1+1)*(1+1)+1)*(1+1)+1)*(1+1)*(1+1)+1)*(1+1)
836945593: (((((((((((((((1+1)+1)*(1+1)*(1+1)*(1+1)*(1+1)+1)*(1+1)+1)*(1+1)+1)*(1+1)+1)*(1+1)*(1+1)*(1+1)*(1+1)+1)*(1+1)*(1+1)+1)*(1+1)+1)*(1+1)*(1+1)*(1+1)*(1+1)+1)*(1+1)+1)*(1+1)*(1+1)+1)*(1+1)*(1+1)+1)*(1+1)+1)*(1+1)+1)*(1+1)*(1+1)*(1+1)+1
863728236: ((((((((((((((((((1+1)+1)*(1+1)*(1+1)*(1+1)+1)*(1+1)+1)*(1+1)*(1+1)+1)*(1+1)+1)*(1+1)+1)*(1+1)+1)*(1+1)*(1+1)+1)*(1+1)+1)*(1+1)*(1+1)+1)*(1+1)+1)*(1+1)+1)*(1+1)*(1+1)*(1+1)+1)*(1+1)*(1+1)*(1+1)+1)*(1+1)+1)*(1+1)*(1+1)+1)*(1+1)+1)*(1+1)*(1+1)
864158514: (((((((((((1+1)+1)*(1+1)*(1+1)*(1+1)+1)*(1+1)+1)*(1+1)+1)*(1+1)*(1+1)*(1+1)*(1+1)*(1+1)*(1+1)+1)*(1+1)*(1+1)*(1+1)*(1+1)*(1+1)*(1+1)*(1+1)*(1+1)+1)*(1+1)+1)*(1+1)*(1+1)*(1+1)+1)*(1+1)+1)*(1+1)*(1+1)*(1+1)+1)*(1+1)
871273503: (((((((((((((((((1+1)+1)*(1+1)*(1+1)*(1+1)+1)*(1+1)+1)*(1+1)+1)*(1+1)+1)*(1+1)+1)*(1+1)*(1+1)+1)*(1+1)+1)*(1+1)+1)*(1+1)*(1+1)+1)*(1+1)*(1+1)*(1+1)+1)*(1+1)*(1+1)+1)*(1+1)*(1+1)*(1+1)*(1+1)*(1+1)*(1+1)+1)*(1+1)+1)*(1+1)+1)*(1+1)+1)*(1+1)+1
881615667: (((((((((((((1+1)+1)*(1+1)*(1+1)+1)*(1+1)*(1+1)*(1+1)+1)*(1+1)*(1+1)*(1+1)*(1+1)+1)*(1+1)+1)*(1+1)*(1+1)*(1+1)*(1+1)+1)*(1+1)+1)*(1+1)*(1+1)*(1+1)*(1+1)+1)*(1+1)+1)*(1+1)*(1+1)*(1+1)+1)*(1+1)+1)*(1+1)*(1+1)*(1+1)+1)*(1+1)+1
891619600: ((((((((((1+1)+1)*(1+1)*(1+1)+1)*(1+1)*(1+1)+1)*(1+1)*(1+1)*(1+1)+1)*(1+1)*(1+1)*(1+1)+1)*(1+1)*(1+1)+1)*(1+1)*(1+1)*(1+1)*(1+1)*(1+1)+1)*(1+1)*(1+1)*(1+1)+1)*(1+1)*(1+1)*(1+1)*(1+1)+1)*(1+1)*(1+1)*(1+1)*(1+1)
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+1)+1
918159061: ((((((((((((((((((((1+1)+1)*(1+1)*(1+1)+1)*(1+1)+1)*(1+1)*(1+1)+1)*(1+1)*(1+1)+1)*(1+1)+1)*(1+1)+1)*(1+1)*(1+1)*(1+1)+1)*(1+1)+1)*(1+1)+1)*(1+1)+1)*(1+1)+1)*(1+1)+1)*(1+1)+1)*(1+1)+1)*(1+1)*(1+1)+1)*(1+1)+1)*(1+1)*(1+1)+1)*(1+1)*(1+1)+1)*(1+1)*(1+1)+1
920521050: ((((((((((((((((1+1)+1)*(1+1)*(1+1)+1)*(1+1)+1)*(1+1)*(1+1)+1)*(1+1)+1)*(1+1)*(1+1)+1)*(1+1)+1)*(1+1)+1)*(1+1)+1)*(1+1)*(1+1)*(1+1)*(1+1)*(1+1)*(1+1)+1)*(1+1)*(1+1)*(1+1)+1)*(1+1)*(1+1)+1)*(1+1)*(1+1)+1)*(1+1)+1)*(1+1)*(1+1)+1)*(1+1)
924502226: (((((((((((((((1+1)+1)*(1+1)*(1+1)+1)*(1+1)+1)*(1+1)+1)*(1+1)*(1+1)*(1+1)*(1+1)+1)*(1+1)+1)*(1+1)*(1+1)+1)*(1+1)*(1+1)+1)*(1+1)+1)*(1+1)*(1+1)*(1+1)+1)*(1+1)*(1+1)*(1+1)*(1+1)+1)*(1+1)+1)*(1+1)*(1+1)+1)*(1+1)*(1+1)*(1+1)+1)*(1+1)
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
943162304: (((((((((((((1+1)+1)*(1+1)+1)*(1+1)*(1+1)*(1+1)*(1+1)*(1+1)*(1+1)+1)*(1+1)+1)*(1+1)*(1+1)+1)*(1+1)+1)*(1+1)+1)*(1+1)+1)*(1+1)*(1+1)*(1+1)*(1+1)*(1+1)*(1+1)+1)*(1+1)+1)*(1+1)+1)*(1+1)+1)*(1+1)*(1+1)*(1+1)*(1+1)*(1+1)*(1+1)
950210939: ((((((((((((((1+1)+1)*(1+1)+1)*(1+1)*(1+1)*(1+1)*(1+1)+1)*(1+1)*(1+1)+1)*(1+1)*(1+1)*(1+1)*(1+1)+1)*(1+1)+1)*(1+1)*(1+1)*(1+1)*(1+1)+1)*(1+1)*(1+1)*(1+1)*(1+1)+1)*(1+1)*(1+1)+1)*(1+1)+1)*(1+1)+1)*(1+1)+1)*(1+1)*(1+1)+1)*(1+1)+1
950214176: ((((((((((((1+1)+1)*(1+1)+1)*(1+1)*(1+1)*(1+1)*(1+1)+1)*(1+1)*(1+1)+1)*(1+1)*(1+1)*(1+1)*(1+1)+1)*(1+1)+1)*(1+1)*(1+1)*(1+1)*(1+1)+1)*(1+1)+1)*(1+1)+1)*(1+1)+1)*(1+1)*(1+1)*(1+1)*(1+1)+1)*(1+1)*(1+1)*(1+1)*(1+1)*(1+1)
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
974842859: ((((((((((((((((((1+1)+1)*(1+1)+1)*(1+1)*(1+1)+1)*(1+1)*(1+1)*(1+1)*(1+1)*(1+1)+1)*(1+1)+1)*(1+1)*(1+1)+1)*(1+1)*(1+1)+1)*(1+1)+1)*(1+1)+1)*(1+1)*(1+1)+1)*(1+1)*(1+1)+1)*(1+1)+1)*(1+1)+1)*(1+1)+1)*(1+1)+1)*(1+1)*(1+1)+1)*(1+1)*(1+1)+1)*(1+1)+1
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 votes

# Answer
# Emacs Lisp

**Primary score: 81638725**
**Secondary score: 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))

```

Basically builds a sum over the domain (1, 11, 111, ...) which is equivalent to n.
> 1 votes

# Answer
# JAVA

**Primary Score** `1045978739`

**Secondary score** `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
42017515:(1*11*11*11*11*11*11*11)+(1*11*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*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*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
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```
> 1 votes

# Answer
# AWK, 15642720

Secondary Score=30/05/2017, 21:11

```
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
}

```

Try it online!

Ones: 4590

Ops: 3408 Primary Score=15642720 Secondary Score=30/05/2017 21:11
> 1 votes

---
Tags: math, code-challenge, metagolf, test-battery
---