chore(i8n,learn): processed translations
This commit is contained in:
committed by
Mrugesh Mohapatra
parent
15047f2d90
commit
e5c44a3ae5
@ -0,0 +1,190 @@
|
||||
---
|
||||
id: 5a23c84252665b21eecc8043
|
||||
title: Sum to 100
|
||||
challengeType: 5
|
||||
forumTopicId: 302335
|
||||
dashedName: sum-to-100
|
||||
---
|
||||
|
||||
# --description--
|
||||
|
||||
Find solutions to the *sum to one hundred* puzzle.
|
||||
|
||||
Add (insert) the mathematical operators **+** or **─** (plus or minus) before any of the digits in the decimal numeric string **123456789** such that the resulting mathematical expression adds up to a particular sum (in this iconic case, **100**).
|
||||
|
||||
Example:
|
||||
|
||||
<pre><b>123 + 4 - 5 + 67 - 89 = 100</b></pre>
|
||||
|
||||
# --instructions--
|
||||
|
||||
Write a function that takes a number as parameter. The function should return an array containing all solutions for the given number. The solutions should be strings representing the expressions. For example: "1+23-456+78-9". Sort the array before returning it.
|
||||
|
||||
# --hints--
|
||||
|
||||
`sumTo100` should be a function.
|
||||
|
||||
```js
|
||||
assert(typeof sumTo100 == 'function');
|
||||
```
|
||||
|
||||
`sumTo100(199)` should return an array.
|
||||
|
||||
```js
|
||||
assert(Array.isArray(sumTo100(199)));
|
||||
```
|
||||
|
||||
`sumTo100(199)` should return `["-1+2-3+45+67+89", "123-4+5+6+78-9", "123-4+56+7+8+9"]`.
|
||||
|
||||
```js
|
||||
assert.deepEqual(sumTo100(199), [
|
||||
'-1+2-3+45+67+89',
|
||||
'123-4+5+6+78-9',
|
||||
'123-4+56+7+8+9'
|
||||
]);
|
||||
```
|
||||
|
||||
`sumTo100(209)` should return `["1+234+56+7-89"]`.
|
||||
|
||||
```js
|
||||
assert.deepEqual(sumTo100(209), ['1+234+56+7-89']);
|
||||
```
|
||||
|
||||
`sumTo100(243)` should return `["-1-234+567-89", "-12+345+6-7-89", "123+45+6+78-9"]`.
|
||||
|
||||
```js
|
||||
assert.deepEqual(sumTo100(243), [
|
||||
'-1-234+567-89',
|
||||
'-12+345+6-7-89',
|
||||
'123+45+6+78-9'
|
||||
]);
|
||||
```
|
||||
|
||||
`sumTo100(199)` should return `["-1+2-3+45+67+89", "123-4+5+6+78-9", "123-4+56+7+8+9"]`.
|
||||
|
||||
```js
|
||||
assert.deepEqual(sumTo100(199), [
|
||||
'-1+2-3+45+67+89',
|
||||
'123-4+5+6+78-9',
|
||||
'123-4+56+7+8+9'
|
||||
]);
|
||||
```
|
||||
|
||||
`sumTo100(197)` should return `["1-2-3+45+67+89", "12+34-5+67+89", "123+4-5+6+78-9"]`.
|
||||
|
||||
```js
|
||||
assert.deepEqual(sumTo100(197), [
|
||||
'1-2-3+45+67+89',
|
||||
'12+34-5+67+89',
|
||||
'123+4-5+6+78-9'
|
||||
]);
|
||||
```
|
||||
|
||||
# --seed--
|
||||
|
||||
## --seed-contents--
|
||||
|
||||
```js
|
||||
function sumTo100(n) {
|
||||
|
||||
}
|
||||
```
|
||||
|
||||
# --solutions--
|
||||
|
||||
```js
|
||||
function sumTo100(n) {
|
||||
var permutationsWithRepetition = function(n, as) {
|
||||
return as.length > 0
|
||||
? foldl1(curry(cartesianProduct)(as), replicate(n, as))
|
||||
: [];
|
||||
};
|
||||
|
||||
var cartesianProduct = function(xs, ys) {
|
||||
return [].concat.apply(
|
||||
[],
|
||||
xs.map(function(x) {
|
||||
return [].concat.apply(
|
||||
[],
|
||||
ys.map(function(y) {
|
||||
return [[x].concat(y)];
|
||||
})
|
||||
);
|
||||
})
|
||||
);
|
||||
};
|
||||
|
||||
var curry = function(f) {
|
||||
return function(a) {
|
||||
return function(b) {
|
||||
return f(a, b);
|
||||
};
|
||||
};
|
||||
};
|
||||
|
||||
var flip = function(f) {
|
||||
return function(a, b) {
|
||||
return f.apply(null, [b, a]);
|
||||
};
|
||||
};
|
||||
|
||||
var foldl1 = function(f, xs) {
|
||||
return xs.length > 0 ? xs.slice(1).reduce(f, xs[0]) : [];
|
||||
};
|
||||
|
||||
var replicate = function(n, a) {
|
||||
var v = [a],
|
||||
o = [];
|
||||
if (n < 1) return o;
|
||||
while (n > 1) {
|
||||
if (n & 1) o = o.concat(v);
|
||||
n >>= 1;
|
||||
v = v.concat(v);
|
||||
}
|
||||
return o.concat(v);
|
||||
};
|
||||
|
||||
var asSum = function(xs) {
|
||||
var dct = xs.reduceRight(
|
||||
function(a, sign, i) {
|
||||
var d = i + 1; // zero-based index to [1-9] positions
|
||||
if (sign !== 0) {
|
||||
// Sum increased, digits cleared
|
||||
return {
|
||||
digits: [],
|
||||
n: a.n + sign * parseInt([d].concat(a.digits).join(''), 10)
|
||||
};
|
||||
} else
|
||||
return {
|
||||
// Digits extended, sum unchanged
|
||||
digits: [d].concat(a.digits),
|
||||
n: a.n
|
||||
};
|
||||
},
|
||||
{
|
||||
digits: [],
|
||||
n: 0
|
||||
}
|
||||
);
|
||||
return (
|
||||
dct.n + (dct.digits.length > 0 ? parseInt(dct.digits.join(''), 10) : 0)
|
||||
);
|
||||
};
|
||||
|
||||
var asString = function(xs) {
|
||||
var ns = xs.reduce(function(a, sign, i) {
|
||||
var d = (i + 1).toString();
|
||||
return sign === 0 ? a + d : a + (sign > 0 ? '+' : '-') + d;
|
||||
}, '');
|
||||
|
||||
return ns[0] === '+' ? tail(ns) : ns;
|
||||
};
|
||||
|
||||
var universe = permutationsWithRepetition(9, [0, 1, -1])
|
||||
.filter(function(x) {
|
||||
return x[0] !== 1 && asSum(x) === n;
|
||||
})
|
||||
.map(asString);
|
||||
return universe.sort();
|
||||
}
|
||||
```
|
Reference in New Issue
Block a user