\n",
"\n",
"# Pairing Socks\n",
"\n",
"[**Bram Cohen**](https://en.wikipedia.org/wiki/Bram_Cohen) posed a problem:\n",
"\n",
"> *You have N pairs of socks, all different, in the dryer. \n",
"You pull random socks out one-by-one, placing each sock in one of C possible spaces on the countertop. \n",
"After putting a sock down on the countertop you compare it to the other socks on the countertop, and if there is a match, you put the pair away in a drawer, freeing up two spaces. We can ask:*\n",
"1. *Given N pairs of socks and C spaces, what's the probability P(N, C) that you will pair up all the socks before you run out of spaces?*\n",
"2. *Given N pairs of socks, what is the minimum C such that P(N, C) > 1/2?*\n",
"\n",
"Here's how I think about computing *P(N, C)*:\n",
"\n",
"- Can I come up with a closed form mathematical formula? **No,** I'm not smart enough.\n",
"- Could I do a Monte Carlo simulation? **Yes**, but the resulting probability numbers would not be precise.\n",
"- Could I do a simple brute-force computation? **Yes**, but only for very small values of *N*.\n",
"- Could I define an efficient algorithm? **Yes,** that's what this notebook is about.\n",
"\n",
"\n",
"First get some imports out of the way:\n"
]
},
{
"cell_type": "code",
"execution_count": 1,
"metadata": {},
"outputs": [],
"source": [
"%matplotlib inline\n",
"import matplotlib.pyplot as plt\n",
"from functools import lru_cache\n",
"from itertools import permutations"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Brute-Force Approach\n",
"\n",
"A straightforward brute-force way to compute *P(N, C)* would be to consider every possible ordering in which we could pull the socks from the dryer, and count how many of these orderings are pairable. For example, with *N* = 2 pairs of socks, there are 24 possible orderings:"
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"[('▢', '▢', '▩', '▩'),\n",
" ('▢', '▢', '▩', '▩'),\n",
" ('▢', '▩', '▢', '▩'),\n",
" ('▢', '▩', '▩', '▢'),\n",
" ('▢', '▩', '▢', '▩'),\n",
" ('▢', '▩', '▩', '▢'),\n",
" ('▢', '▢', '▩', '▩'),\n",
" ('▢', '▢', '▩', '▩'),\n",
" ('▢', '▩', '▢', '▩'),\n",
" ('▢', '▩', '▩', '▢'),\n",
" ('▢', '▩', '▢', '▩'),\n",
" ('▢', '▩', '▩', '▢'),\n",
" ('▩', '▢', '▢', '▩'),\n",
" ('▩', '▢', '▩', '▢'),\n",
" ('▩', '▢', '▢', '▩'),\n",
" ('▩', '▢', '▩', '▢'),\n",
" ('▩', '▩', '▢', '▢'),\n",
" ('▩', '▩', '▢', '▢'),\n",
" ('▩', '▢', '▢', '▩'),\n",
" ('▩', '▢', '▩', '▢'),\n",
" ('▩', '▢', '▢', '▩'),\n",
" ('▩', '▢', '▩', '▢'),\n",
" ('▩', '▩', '▢', '▢'),\n",
" ('▩', '▩', '▢', '▢')]"
]
},
"execution_count": 2,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"socks = ('▢', '▢', '▩', '▩')\n",
"list(permutations(socks))"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Of these 24 orderings, there are just 6 *distinct* ones:"
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"{('▢', '▢', '▩', '▩'),\n",
" ('▢', '▩', '▢', '▩'),\n",
" ('▢', '▩', '▩', '▢'),\n",
" ('▩', '▢', '▢', '▩'),\n",
" ('▩', '▢', '▩', '▢'),\n",
" ('▩', '▩', '▢', '▢')}"
]
},
"execution_count": 3,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"set(permutations(socks))"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"When there are *C* = 2 spaces, the first and last of these 6 orderings can be paired up, but the others cannot, so *P*(2, 2) = 2/6 = 1/3.\n",
"\n",
"In general there are (2*N*)! orderings, and (2*N*)! / 2N distinct orderings. This is faster-than-exponential growth. With 10 pairs of socks (and I personally have at least that many, although they might not all be in the dryer at once) there are **2 quintillion** permutations, and **2 quadrillion** distinct permutations.\n",
"\n",
"# Answering Question 1: P(N, C)\n",
"\n",
"Fortunately, I don't need to look at every possible ordering to answer the questions. If the first three socks I pull are, say, white, black, and red (WBR), then for the purposes of this problem that's exactly the same as pulling RBW or BRW or RBG. The identity of each sock doesn't matter; all that matters is how many socks are on the countertop (here, 3 in each case), and how many pairs remain to be matched. \n",
"\n",
"Suppose that we have *C* spaces on the countertop (this number never changes), that *k* of these spaces currently hold socks (this number can rise and fall as we go), and that *N* pairs of socks remain to be paired (this number will hopefully be reduced over time). There are four possibile cases:\n",
"- We've succeeded (*P(N, C)* = 1) if there are no more socks to pair (*N* = 0) or if there are fewer pairs remaining than the number of spaces (*N* < *C*). When there are more spaces than pairs, the worst that can happen is that there is one of each pair on the counter, with one space left; from there we can always pair all the socks.\n",
"- We've failed (*P(N, C)* = 0) if the countertop is full (*k* ≥ *C*); there's nowhere for the next sock from the dryer to go. \n",
"- If *k* = 0, then the next sock from the dryer becomes the lone sock on the counter.\n",
"- Otherwise we might succceed or fail, depending on the ordering of the remaining socks in the dryer, of which there are *r* = 2*N* - *k*. Two things can happen with the next sock pulled from the dryer; consider both cases and add their weighted probabilities:\n",
" - *k* out of *r* remaining socks match a countertop sock, leaving *k* - 1 socks on the counter, and *N* - 1 pairs to match.\n",
" - (*r* - *k*) out of *r* remaining socks don't match, giving us *k* + 1 socks on the counter.\n",
"\n",
"\n",
"With that, I can code up a solution and try it:"
]
},
{
"cell_type": "code",
"execution_count": 4,
"metadata": {},
"outputs": [],
"source": [
"@lru_cache(None)\n",
"def P(N, C, k=0) -> float:\n",
" \"\"\"The probability that we can pair up N pairs of socks using C counter spaces,\n",
" assuming there are currently k socks on the counter.\"\"\"\n",
" if N == 0 or N < C:\n",
" return 1\n",
" elif k >= C:\n",
" return 0\n",
" elif k == 0:\n",
" return P(N, C, 1)\n",
" else:\n",
" r = 2 * N - k # Number of remaining socks in the dryer\n",
" match = k * P(N - 1, C, k - 1)\n",
" nomatch = (r - k) * P(N, C, k + 1)\n",
" return (match + nomatch) / r"
]
},
{
"cell_type": "code",
"execution_count": 5,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"0.3333333333333333"
]
},
"execution_count": 5,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"P(2, 2) # The probability of pairing up 2 pairs of socks using 2 spaces"
]
},
{
"cell_type": "code",
"execution_count": 6,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"0.5105559043639538"
]
},
"execution_count": 6,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"P(10, 7) # The probability of pairing up 10 pairs of socks using 7 spaces"
]
},
{
"cell_type": "code",
"execution_count": 7,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"CPU times: user 24 ms, sys: 1.69 ms, total: 25.7 ms\n",
"Wall time: 25.4 ms\n"
]
},
{
"data": {
"text/plain": [
"0.22085941648149854"
]
},
"execution_count": 7,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"%time P(400, 200) # The probability of pairing up 400 pairs of socks using 200 spaces"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Clearly `P` is fast, and these answers look reasonable. But are they actually correct? Here are some tests with the right answers computed by hand:"
]
},
{
"cell_type": "code",
"execution_count": 8,
"metadata": {},
"outputs": [],
"source": [
"for N in range(1, 10):\n",
" assert P(N, N + 1) == 1 # N + 1 spaces always works\n",
" assert P(N, 1) == 0 # 1 space always fails\n",
"assert P(0, 0) == 1 # Zero socks can always be paired\n",
"assert P(2, 2) == 1/3 # Only works if 2nd sock matches 1st; there's a 1/3 chance of that\n",
"assert P(3, 2) == 1/15 # 1/5 for 2nd sock to match 1st; reduces to f(2, 2) \n",
"assert P(4, 2) == P(4, 2, 1) == (1 * P(3, 2, 0) + 6 * P(4, 2, 2)) / 7 # r = 7 remaining socks, only 1 matches"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Why is `P` so fast (especially given that the brute-force approach was so slow)? You can think of each call to `P(N, C)` as mostly fetching probabilities from the cache, then perhaps doing a small bit of arithmetic and adding a new entry in the cache. So most of the run time is going to be in cache management. A call to `P(N, C, 0)` will fill cache entries for the first argument ranging from 0 to `N`, and the third ranging from 0 to `C`, so the cache can have no more than *N* × *C* entries, and the run time (and space) requirements should be at worst linear in *N* and *C* (or you could call it quadratic in *N*).\n",
"\n",
"\n",
"# Visualizing P(N, C)\n",
"\n",
"I can plot *P(N, C)* for various values of the number of pairs of socks, *N*, each denoted by a different color S-shaped curve, and of the number of countertop spaces, *C*, each denoted by a point on a curve:"
]
},
{
"cell_type": "code",
"execution_count": 9,
"metadata": {},
"outputs": [
{
"data": {
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\n",
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