Commit Graph

167 Commits

Author SHA1 Message Date
5b38f4d499 ocaml: phase 5.1 triangle.ml baseline (Pascal-shape min path sum, 2+3+5+1 = 11)
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Bottom-up DP minimum-path through a triangle:

       2
      3 4
     6 5 7
    4 1 8 3

  let min_path_triangle rows =
    initialise dp from last row;
    for r = n - 2 downto 0 do
      for c = 0 to row_len - 1 do
        dp.(c) <- row.(c) + min(dp.(c), dp.(c+1))
      done
    done;
    dp.(0)

The optimal path 2 -> 3 -> 5 -> 1 sums to 11.

Tests downto loop, Array.of_list inside loop body, nested arr.(i)
reads + writes, and inline if-then-else for min.

74 baseline programs total.
2026-05-09 15:32:11 +00:00
a3a93c20b8 ocaml: phase 5.1 max_path_tree.ml baseline (max root-to-leaf sum, 1+3+7 = 11)
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Recursive ADT for binary trees:

  type tree = Leaf | Node of int * tree * tree

  let rec max_path t =
    match t with
    | Leaf -> 0
    | Node (v, l, r) ->
      let lp = max_path l in
      let rp = max_path r in
      v + (if lp > rp then lp else rp)

For the test tree:
       1
      /      2   3
    / \   \
   4   5   7

paths sum:    1+2+4=7, 1+2+5=8, 1+3+7=11.  max = 11.

Tests 3-arg Node constructor with positional arg destructuring, two
nested let-bindings, and if-then-else as an inline expression.

73 baseline programs total.
2026-05-09 15:22:28 +00:00
30b237a891 ocaml: phase 5.1 mod_inverse.ml baseline (extended Euclidean, inverse sum = 27)
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Extended Euclidean returns a triple (gcd, x, y) such that
a*x + b*y = gcd:

  let rec ext_gcd a b =
    if b = 0 then (a, 1, 0)
    else
      let (g, x1, y1) = ext_gcd b (a mod b) in
      (g, y1, x1 - (a / b) * y1)

  let mod_inverse a m =
    let (_, x, _) = ext_gcd a m in
    ((x mod m) + m) mod m

Three invariants checked:

  inv(3, 11)  = 4      (3*4  = 12  = 1 mod 11)
  inv(5, 26)  = 21     (5*21 = 105 = 1 mod 26)
  inv(7, 13)  = 2      (7*2  = 14  = 1 mod 13)
  sum         = 27

Tests recursive triple-tuple return, tuple-pattern destructuring on
let-binding (with wildcard for unused fields), and nested
let-binding inside the recursive call site.

72 baseline programs total.
2026-05-09 15:11:46 +00:00
667dfcfd7c ocaml: phase 5.1 hist.ml baseline (Hashtbl int histogram, total * max = 75)
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Three small functions:

  hist xs       build a Hashtbl of count-by-value
  max_value h   Hashtbl.fold to find the max bin
  total h       Hashtbl.fold to sum all bins

For the 15-element list [1;2;3;1;4;5;1;2;6;7;1;8;9;1;0]:
  total      = 15
  max_value  =  5 (the number 1 appears 5 times)
  product    = 75

Companion to bag.ml (string keys) and frequency.ml (char keys) —
same Hashtbl.fold + Hashtbl.find_opt pattern, exercised on int
keys this time.

71 baseline programs total.
2026-05-09 15:02:13 +00:00
7f8bf5f455 ocaml: phase 5.1 mortgage.ml baseline (monthly payment, 200k @ 5% / 30y = $1073)
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Standard amortising-mortgage formula:

  payment = P * r * (1 + r)^n / ((1 + r)^n - 1)

where r = annual_rate / 12, n = years * 12.

  let payment principal annual_rate years =
    let r = annual_rate /. 12.0 in
    let n = years * 12 in
    let pow_r = ref 1.0 in
    for _ = 1 to n do pow_r := !pow_r *. (1.0 +. r) done;
    principal *. r *. !pow_r /. (!pow_r -. 1.0)

For 200,000 at 5% over 30 years: monthly payment ~= $1073.64,
int_of_float -> 1073.

Manual (1+r)^n via for-loop instead of Float.pow keeps the program
portable to any environment where pow is restricted.

Tests float arithmetic precedence, for-loop accumulation in a float
ref, int_of_float on the result.

70 baseline programs total — milestone.
2026-05-09 14:52:13 +00:00
a98d683e60 ocaml: phase 5.1 group_consec.ml baseline (group consecutive equals, 5*10+3 = 53)
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Inner 'collect cur acc tail' walks the tail while head matches
'cur', accumulating into 'acc'. Returns (rev acc, remaining) on
first mismatch. Outer 'group' recurses on the remaining list.

  group [1;1;2;2;2;3;1;1;4]
   = [[1;1]; [2;2;2]; [3]; [1;1]; [4]]

  List.length groups        = 5
  List.length (gs.(1))      = 3
  5 * 10 + 3                = 53

Tests nested recursion (inner aux + outer recursion), tuple
destructuring 'let (g, tail) = ...' inside the outer match arm,
and List.nth.

69 baseline programs total.
2026-05-09 14:40:22 +00:00
a2f3c533b8 ocaml: phase 5.1 zigzag.ml baseline (interleave two lists, sum 1..10 = 55)
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One-liner that swaps the lists on every recursive call:

  let rec zigzag xs ys =
    match xs with
    | [] -> ys
    | x :: xs' -> x :: zigzag ys xs'

This works because each call emits the head of xs and recurses with
ys as the new xs and the rest of xs as the new ys.

  zigzag [1;3;5;7;9] [2;4;6;8;10] = [1;2;3;4;5;6;7;8;9;10]   sum = 55

Tests recursive list cons + arg-swap idiom that is concise but
non-obvious to readers expecting symmetric-handling.

68 baseline programs total.
2026-05-09 14:30:55 +00:00
0f2eb45f5c ocaml: phase 5.1 prefix_sum.ml baseline (precomputed sums + range queries, 14+25+27 = 66)
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Two utility functions:

  prefix_sums xs   builds Array of len n+1 such that
                   arr.(i) = sum of xs[0..i-1]
  range_sum p lo hi = p.(hi+1) - p.(lo)

For [3;1;4;1;5;9;2;6;5;3]:
  range_sum 0 4   = 14   (3+1+4+1+5)
  range_sum 5 9   = 25   (9+2+6+5+3)
  range_sum 2 7   = 27   (4+1+5+9+2+6)
  sum             = 66

Tests List.iter mutating Array indexed by a ref counter, plus the
classic prefix-sum technique for O(1) range queries.

67 baseline programs total.
2026-05-09 14:21:24 +00:00
1c40fec8fa ocaml: phase 5.1 tic_tac_toe.ml baseline (3x3 winner check, X wins top row = 1)
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Board as 9-element flat int array, 0=empty, 1=X, 2=O. Three
predicate functions:

  check_row b r       check_col b c       check_diag b

each return the winning player's mark or 0. Main 'winner' loops
i = 0..2 calling row(i)/col(i) then check_diag, threading via a
result ref.

Test board:
  X X X
  . O .
  . . O

X wins on row 0 -> winner returns 1.

Tests Array.of_list with row-major 'b.(r * 3 + c)' indexing,
multi-fn collaboration, and structural equality on int values.

66 baseline programs total.
2026-05-09 14:00:49 +00:00
b94a47a9a9 ocaml: phase 5.1 subset_sum.ml baseline (count subsets of [1..8] summing to 10 = 8)
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Pure recursion — at each element, take it or don't:

  let rec count_subsets xs target =
    match xs with
    | [] -> if target = 0 then 1 else 0
    | x :: rest ->
      count_subsets rest target
      + count_subsets rest (target - x)

For [1;2;3;4;5;6;7;8] target 10, the recursion tree has 2^8 = 256
leaves. Returns 8 — number of subsets summing to 10:

  1+2+3+4, 1+2+7, 1+3+6, 1+4+5, 2+3+5, 2+8, 3+7, 4+6 = 8

Tests doubly-recursive list traversal pattern with single-arg list
+ accumulator-via-target.

65 baseline programs total.
2026-05-09 13:46:40 +00:00
7de014cd75 ocaml: phase 5.1 hailstone.ml baseline (Collatz length from 27 = 111 steps)
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Iterative Collatz / hailstone sequence:

  let collatz_length n =
    let m = ref n in
    let count = ref 0 in
    while !m > 1 do
      if !m mod 2 = 0 then m := !m / 2
      else m := 3 * !m + 1;
      count := !count + 1
    done;
    !count

27 is the famous 'long-running' Collatz starter. Reaches a peak of
9232 mid-sequence and takes 111 steps to bottom out at 1.

64 baseline programs total.
2026-05-09 13:30:46 +00:00
0eef5bc8e6 ocaml: phase 5.1 twosum.ml baseline (LeetCode #1 one-pass hashmap, index sum = 5)
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Walks list with List.iteri, checking if target - x is already in
the hashtable; if yes, the earlier index plus current is the
answer; otherwise record the current pair.

  twosum [2;7;11;15] 9   = (0, 1)   2+7
  twosum [3;2;4]     6   = (1, 2)   2+4
  twosum [3;3]       6   = (0, 1)   3+3

Sum of i+j over each pair: 1 + 3 + 1 = 5.

Tests Hashtbl.find_opt + add (the iter-99 cleanup), List.iteri, and
tuple destructuring on let-binding (iter 98 'let (i, j) = twosum
... in').

63 baseline programs total.
2026-05-09 13:15:05 +00:00
50981a2a9b ocaml: phase 5.1 bisect.ml baseline (root-finding, sqrt(2)*100 = 141)
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Bisection method searching for f(x) = 0 in [lo, hi] over 50
iterations:

  let bisect f lo hi =
    let lo = ref lo and hi = ref hi in
    for _ = 1 to 50 do
      let mid = (!lo +. !hi) /. 2.0 in
      if f mid = 0.0 || f !lo *. f mid < 0.0 then hi := mid
      else lo := mid
    done;
    !lo

Solving x^2 - 2 = 0 in [1, 2] via 'bisect (fun x -> x *. x -. 2.0)
1.0 2.0' converges to ~1.41421356... -> int_of_float (r *. 100) =
141.

Tests:
  - higher-order function passing
  - multi-let 'let lo = ref ... and hi = ref ...'
  - float arithmetic
  - int_of_float truncate-toward-zero (iter 117)

62 baseline programs total.
2026-05-09 13:02:17 +00:00
05487b497d ocaml: phase 5.1 base_n.ml baseline (int to base-N string, length sum = 17)
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36-character digit alphabet '0..9A..Z' supports any base 2..36. Loop
divides the magnitude by base and prepends the digit:

  while !m > 0 do
    acc := String.make 1 digits.[!m mod base] ^ !acc;
    m := !m / base
  done

Special-cases n = 0 -> '0' and prepends '-' for negatives.

Test cases (length, since the strings differ in alphabet):
  255 hex      'FF'              2
  1024 binary  '10000000000'    11
  100 dec      '100'             3
  0 any base   '0'               1
  sum                            17

Combines digits.[i] (string indexing) + String.make 1 ch + String
concatenation in a loop.

61 baseline programs total.
2026-05-09 12:52:55 +00:00
af38d98583 ocaml: phase 5.1 prime_factors.ml baseline (trial-division, 360 factor sum = 17)
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Three refs threading through a while loop:
  m       remaining quotient
  d       current divisor
  result  accumulator (built in reverse, List.rev at end)

  while !m > 1 do
    if !m mod !d = 0 then begin
      result := !d :: !result;
      m := !m / !d
    end else
      d := !d + 1
  done

360 = 2^3 * 3^2 * 5 factors to [2;2;2;3;3;5], sum 17.

60 baseline programs total — milestone.
2026-05-09 12:44:02 +00:00
f5122a9a5d ocaml: phase 5.1 atm.ml baseline (mutable record + exception + try/with, balance = 120)
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Models a bank account using a mutable record + a user exception:

  type account = { mutable balance : int }
  exception Insufficient

  let withdraw acct amt =
    if amt > acct.balance then raise Insufficient
    else acct.balance <- acct.balance - amt

Sequence:
  start             100
  deposit 50        150
  withdraw 30       120
  withdraw 200      raises Insufficient
  handler returns   acct.balance        (= 120, transaction rolled back)

Combines mutable record fields, user exception declaration,
try-with-bare-pattern, and verifies that a raise in the middle of a
sequence doesn't leave a partial mutation.

59 baseline programs total.
2026-05-09 12:34:36 +00:00
097c7f4590 ocaml: phase 5.1 bf_full.ml baseline (full Brainfuck with [] loops, +++[.-] = 6)
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Extends the iter-92 brainfuck.ml subset interpreter with bracket
matching:

  '['  if mem[ptr] = 0, jump past matching ']'
       (forward depth-counting scan: '[' increments depth, ']' decrements)
  ']'  if mem[ptr] <> 0, jump back to matching '['
       (backward depth-counting scan)

Test program '+++[.-]':
  +++   set cell 0 = 3
  [     enter loop (cell != 0)
    .   acc += cell
    -   cell -= 1
  ]     loop while cell != 0
  result: acc = 3 + 2 + 1 = 6

Tests deeply nested while loops, mutable pc / ptr / acc, multi-arm
if/else if dispatch on chars + nested begin/end blocks for loop
body conditionals.

58 baseline programs total.
2026-05-09 12:24:48 +00:00
5c587c0f61 ocaml: phase 5.1 anagram_check.ml baseline (char-frequency array, 2/4 anagrams)
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to_counts builds a 256-slot int array of character frequencies:

  let to_counts s =
    let counts = Array.make 256 0 in
    for i = 0 to String.length s - 1 do
      let c = Char.code s.[i] in
      counts.(c) <- counts.(c) + 1
    done;
    counts

same_counts compares two arrays element-by-element via for loop +
bool ref. is_anagram composes them.

Four pairs:
  listen ~ silent       true
  hello !~ world        false
  anagram ~ nagaram     true
  abc !~ abcd           false (length differs)
  sum                   2

Exercises Array.make + arr.(i) + arr.(i) <- v + nested for loops +
Char.code + s.[i].

57 baseline programs total.
2026-05-09 12:14:32 +00:00
acc8b01ddb ocaml: phase 5.1 exception_user.ml baseline (user exception with payload, 4+5+7+10 = 26)
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Defines a user exception with int payload:

  exception Negative of int

  let safe_sqrt n =
    if n < 0 then raise (Negative n)
    else <integer sqrt via while loop>

  let try_sqrt n =
    try safe_sqrt n with
    | Negative x -> -x

  try_sqrt  16  -> 4
  try_sqrt  25  -> 5
  try_sqrt -7   -> 7  (handler returns -(-7) = 7)
  try_sqrt 100  -> 10
  sum           -> 26

Tests exception declaration with int payload, raise with carry, and
try-with arm pattern-matching the constructor with payload binding.

56 baseline programs total.
2026-05-09 12:04:42 +00:00
027678f31e ocaml: phase 5.1 flatten_tree.ml baseline (parametric ADT flatten, sum 1..7 = 28)
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Defines a parametric tree:

  type 'a tree = Leaf of 'a | Node of 'a tree list

  let rec flatten t =
    match t with
    | Leaf x -> [x]
    | Node ts -> List.concat (List.map flatten ts)

Test tree has 3 levels of nesting:

  Node [Leaf 1; Node [Leaf 2; Leaf 3];
        Node [Node [Leaf 4]; Leaf 5; Leaf 6];
        Leaf 7]

flattens to [1;2;3;4;5;6;7] -> sum = 28.

Tests parametric ADT, mutual recursion via map+self, List.concat.

55 baseline programs total.
2026-05-09 11:52:19 +00:00
cca3a28206 ocaml: phase 5.1 gcd_lcm.ml baseline (Euclidean gcd + lcm, 12+12+36 = 60)
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Two-line baseline:

  let rec gcd a b = if b = 0 then a else gcd b (a mod b)
  let lcm a b = a * b / gcd a b

  gcd 36 48  = 12
  lcm 4 6    = 12
  lcm 12 18  = 36
  sum        = 60

Tests mod arithmetic and the integer-division fix from iteration 94
(without truncate-toward-zero, 'lcm 4 6 = 4 * 6 / 2 = 12.0' rather
than the expected 12).

54 baseline programs total.
2026-05-09 11:42:52 +00:00
b8dfc080dd ocaml: phase 5.1 zip_unzip.ml baseline (zip/unzip round-trip, sum-product = 1000)
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zip walks both lists in lockstep, truncating at the shorter. unzip
uses tuple-pattern destructuring on the recursive result.

  let pairs = zip [1;2;3;4] [10;20;30;40] in
  let (xs, ys) = unzip pairs in
  List.fold_left (+) 0 xs * List.fold_left (+) 0 ys
  = 10 * 100
  = 1000

Exercises:
  - tuple-cons patterns in match scrutinee: 'match (xs, ys) with'
  - tuple constructor in return value: '(a :: la, b :: lb)'
  - the iter-98 let-tuple destructuring: 'let (la, lb) = unzip rest'

53 baseline programs total.
2026-05-09 11:33:30 +00:00
ac19b7aced ocaml: phase 5.1 bigint_add.ml baseline (digit-list bignum add, 1+18+9 = 28)
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Recursive 4-arm match on (a, b) tuples threading a carry:

  match (a, b) with
  | ([], []) -> if carry = 0 then [] else [carry]
  | (x :: xs, []) -> (s mod 10) :: aux xs [] (s / 10)   where s = x + carry
  | ([], y :: ys) -> ...
  | (x :: xs, y :: ys) -> ...                           where s = x + y + carry

Little-endian digit lists. Three tests:

  [9;9;9] + [1]                 = [0;0;0;1]      (=1000, digit sum 1)
  [5;6;7] + [8;9;1]             = [3;6;9]        (=963, digit sum 18)
  [9;9;9;9;9;9;9;9] + [1]       length 9         (carry propagates 8x)

Sum = 1 + 18 + 9 = 28.

Exercises tuple-pattern match on nested list-cons with the integer
arithmetic and carry-threading idiom typical of multi-precision
implementations.

52 baseline programs total.
2026-05-09 11:19:23 +00:00
aa0a7fa1a2 ocaml: phase 5.1 expr_simp.ml baseline (symbolic simplifier, eval(simp e) = 22)
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Recursive ADT with three constructors (Num/Add/Mul). simp does
bottom-up rewrite using algebraic identities:

  x + 0  -> x
  0 + x  -> x
  x * 0  -> 0
  0 * x  -> 0
  x * 1  -> x
  1 * x  -> x
  constant folding for Num + Num and Num * Num

Uses tuple pattern in nested match: 'match (simp a, simp b) with'.

  Add (Mul (Num 3, Num 5), Add (Num 0, Mul (Num 1, Num 7)))
   -> simp ->  Add (Num 15, Num 7)
   -> eval ->  22

51 baseline programs total.
2026-05-09 11:09:23 +00:00
bafa2410e4 ocaml: phase 5.1 mat_mul.ml baseline (3x3 row-major matrix multiply, sum = 621)
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Triple-nested for loop with row-major indexing:

  for i = 0 to n - 1 do
    for j = 0 to n - 1 do
      for k = 0 to n - 1 do
        c.(i * n + j) <- c.(i * n + j) + a.(i * n + k) * b.(k * n + j)
      done
    done
  done

For 3x3 matrices A=[[1..9]] and B=[[9..1]], the resulting C has sum
621. Tests deeply nested for loops on Array, Array.make + arr.(i) +
arr.(i) <- v + Array.fold_left.

50 baseline programs total — milestone.
2026-05-09 11:00:00 +00:00
a91ff62730 ocaml: phase 5.1 bsearch.ml baseline (binary search, position sum = 7)
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Iterative binary search on a sorted int array:

  let bsearch arr target =
    let n = Array.length arr in
    let lo = ref 0 and hi = ref (n - 1) in
    let found = ref (-1) in
    while !lo <= !hi && !found = -1 do
      let mid = (!lo + !hi) / 2 in
      if arr.(mid) = target then found := mid
      else if arr.(mid) < target then lo := mid + 1
      else hi := mid - 1
    done;
    !found

For [1;3;5;7;9;11;13;15;17;19;21]:
  bsearch a 13   = 6
  bsearch a 5    = 2
  bsearch a 100  = -1
  sum            = 7

Exercises Array.of_list + arr.(i) + multi-let 'let lo = ... and
hi = ...' + while + multi-arm if/else if/else.

49 baseline programs total.
2026-05-09 10:40:49 +00:00
073ea44fdb ocaml: phase 5.1 palindrome.ml baseline (two-pointer check, 4/6 inputs match)
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Two-pointer palindrome check:

  let is_palindrome s =
    let n = String.length s in
    let rec check i j =
      if i >= j then true
      else if s.[i] <> s.[j] then false
      else check (i + 1) (j - 1)
    in
    check 0 (n - 1)

Tests on six strings:
  racecar = true
  hello   = false
  abba    = true
  ''      = true (vacuously, i >= j on entry)
  'a'     = true
  'ab'    = false

Sum = 4.

Uses s.[i] <> s.[j] (string-get + structural inequality), recursive
2-arg pointer advancement, and a multi-clause if/else if/else for
the three cases.

48 baseline programs total.
2026-05-09 10:31:22 +00:00
aee7226b9c ocaml: phase 5.1 coin_change.ml baseline (DP, 67c with [1;5;10;25] = 6 coins)
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Bottom-up dynamic programming. dp[i] = minimum coins to make
amount i.

  let dp = Array.make (target + 1) (target + 1) in   (* sentinel *)
  dp.(0) <- 0;
  for i = 1 to target do
    List.iter (fun c ->
      if c <= i && dp.(i - c) + 1 < dp.(i) then
        dp.(i) <- dp.(i - c) + 1
    ) coins
  done

Sentinel 'target + 1' means impossible — any real solution uses at
most 'target' coins.

  coin_change [1; 5; 10; 25] 67   = 6   (= 25+25+10+5+1+1)

Exercises Array.make + arr.(i) + arr.(i) <- v + nested
for/List.iter + guard 'c <= i'.

47 baseline programs total.
2026-05-09 10:21:11 +00:00
b3d5da5361 ocaml: phase 5.1 kadane.ml baseline (max subarray sum = 6)
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Kadane's algorithm in O(n):

  let max_subarray xs =
    let max_so_far = ref min_int in
    let cur = ref 0 in
    List.iter (fun x ->
      cur := max x (!cur + x);
      max_so_far := max !max_so_far !cur
    ) xs;
    !max_so_far

For [-2;1;-3;4;-1;2;1;-5;4] the optimal subarray is [4;-1;2;1] = 6.

Exercises min_int (iter 94), max as global, ref / ! / :=, and
List.iter with two side-effecting steps in one closure body.

46 baseline programs total.
2026-05-09 10:07:12 +00:00
da6d8e39c9 ocaml: phase 5.1 pascal.ml baseline (Pascal triangle row 10 middle = C(10,5) = 252)
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next_row prepends 1, walks adjacent pairs (x, y) emitting x+y,
appends a final 1:

  let rec next_row prev =
    let rec aux a =
      match a with
      | [_] -> [1]
      | x :: y :: rest -> (x + y) :: aux (y :: rest)
      | [] -> []
    in
    1 :: aux prev

row n iterates next_row n times starting from [1] using a ref +
'for _ = 1 to n do r := next_row !r done'.

  row 10 = [1;10;45;120;210;252;210;120;45;10;1]
  List.nth (row 10) 5 = 252 = C(10, 5)

Exercises three-arm match including [_] singleton wildcard, x :: y
:: rest binding, and the for-loop with wildcard counter. 45 baseline
programs total.
2026-05-09 09:57:18 +00:00
32aba1823d ocaml: phase 5.1 run_length.ml baseline (RLE, sum-of-counts = 11)
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Run-length encoding via tail-recursive 4-arg accumulator:

  let rle xs =
    let rec aux xs cur n acc =
      match xs with
      | [] -> List.rev ((cur, n) :: acc)
      | h :: t ->
        if h = cur then aux t cur (n + 1) acc
        else aux t h 1 ((cur, n) :: acc)
    in
    match xs with
    | [] -> []
    | h :: t -> aux t h 1 []

  rle [1;1;1;2;2;3;3;3;3;1;1] = [(1,3);(2,2);(3,4);(1,2)]
  sum of counts                = 11 (matches input length)

The sum-of-counts test verifies that the encoding preserves total
length — drops or duplicates would diverge.

44 baseline programs total.
2026-05-09 09:47:25 +00:00
3be2dc6e78 ocaml: phase 5.1 grep_count.ml baseline (substring-aware line filter, 3 matches)
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Defines a recursive str_contains that walks the haystack with
String.sub to find a needle substring. Real OCaml's String.contains
only accepts a single char, so this baseline implements its own
substring search to stay portable.

  let rec str_contains s sub i =
    if i + sl > nl then false
    else if String.sub s i sl = sub then true
    else str_contains s sub (i + 1)

count_matching splits text on newlines, folds with the predicate.

  'the quick brown fox\nfox runs fast\nthe dog\nfoxes are clever'
   needle = 'fox'
   matches = 3 (lines 1, 2, 4 — 'foxes' contains 'fox')

43 baseline programs total.
2026-05-09 09:34:40 +00:00
b0cbdaf713 ocaml: phase 5.1 pretty_table.ml baseline (Buffer + Printf widths, len = 64)
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Builds a 4-row scoreboard via Buffer + Printf.sprintf:

  Buffer.add_string buf (Printf.sprintf '%-10s %4d\n' name score)

Each row is exactly 16 chars regardless of actual name/score length:
  10 name padding + 1 space + 4 score padding + 1 newline.
4 rows -> 64 chars total.

Combines:
  - Buffer.add_string + Printf.sprintf
  - %-Ns left-justified string and %Nd right-justified int width
  - List.iter on tuple-pattern args (iter 101 fun (a, b))

42 baseline programs total.
2026-05-09 09:24:41 +00:00
aaaf054441 ocaml: phase 4 bitwise ops land/lor/lxor/lsl/lsr/asr + bits.ml baseline (+5 tests, 607 total)
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The binop precedence table already had land/lor/lxor/lsl/lsr/asr
(iter 0 setup) but eval-op fell through to 'unknown operator' for
all of them. SX doesn't expose host bitwise primitives, so each is
implemented in eval.sx via arithmetic on the host:

  land/lor/lxor:  mask & shift loop, accumulating 1<<k digits
  lsl k:          repeated * 2 k times
  lsr k:          repeated floor (/ 2) k times
  asr:            aliased to lsr (no sign extension at our bit width)

bits.ml baseline: popcount via 'while m > 0 do if m land 1 = 1 then
... ; m := m lsr 1 done'. Sum of popcount(1023, 5, 1024, 0xff) = 10
+ 2 + 1 + 8 = 21.

  5 land 3 = 1
  5 lor 3 = 7
  5 lxor 3 = 6
  1 lsl 8 = 256
  256 lsr 4 = 16

41 baseline programs total.
2026-05-09 09:15:00 +00:00
70b9b4f6cf ocaml: phase 5.1 ackermann.ml baseline (ack(3, 4) = 125)
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Classic Ackermann function:

  let rec ack m n =
    if m = 0 then n + 1
    else if n = 0 then ack (m - 1) 1
    else ack (m - 1) (ack m (n - 1))

ack(3, 4) = 125, expanding to ~6700 evaluator frames — a useful
stress test of the call stack and control transfer. Real OCaml
evaluates this in milliseconds; ours takes ~2 minutes on a
contended host but completes correctly.

40 baseline programs total.
2026-05-09 08:50:12 +00:00
095bb62ef9 ocaml: phase 5.1 rpn.ml baseline (Reverse Polish Notation evaluator, [3 4 + 2 * 5 -] = 9)
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Stack-based RPN evaluator:

  let eval_rpn tokens =
    let stack = Stack.create () in
    List.iter (fun tok ->
      if tok is operator then
        let b = Stack.pop stack in
        let a = Stack.pop stack in
        Stack.push (apply tok a b) stack
      else
        Stack.push (int_of_string tok) stack
    ) tokens;
    Stack.pop stack

For tokens [3 4 + 2 * 5 -]:
  3 4 +  ->  7
  7 2 *  ->  14
  14 5 - ->  9

Exercises Stack.create / push / pop, mixed branch on string
equality, multi-arm if/else if for operator dispatch, int_of_string
for token parsing.

39 baseline programs total.
2026-05-09 08:39:56 +00:00
13fb1bd7a9 ocaml: phase 5.1 newton_sqrt.ml baseline (Newton's method, sqrt(2)*1000 = 1414)
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Newton's method for square root:

  let sqrt_newton x =
    let g = ref 1.0 in
    for _ = 1 to 20 do
      g := (!g +. x /. !g) /. 2.0
    done;
    !g

20 iterations is more than enough to converge for x=2 — result is
~1.414213562. Multiplied by 1000 and int_of_float'd: 1414.

First baseline exercising:
  - for _ = 1 to N do ... done (wildcard loop variable)
  - pure float arithmetic with +. /.
  - the int_of_float truncate-toward-zero fix from iter 117

38 baseline programs total.
2026-05-09 08:29:01 +00:00
39f4c7a9a8 ocaml: phase 5.1 hanoi.ml baseline (Tower of Hanoi move count, n=10 -> 1023)
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Classic doubly-recursive solution returning the move count:

  hanoi n from to via =
    if n = 0 then 0
    else hanoi (n-1) from via to + 1 + hanoi (n-1) via to from

For n = 10, returns 2^10 - 1 = 1023.

Exercises 4-arg recursion, conditional base case, and tail-position
addition. Uses 'to_' instead of 'to' for the destination param to
avoid collision with the 'to' keyword in for-loops — the OCaml
conventional workaround.

37 baseline programs total.
2026-05-09 08:21:19 +00:00
1a828d5b9f ocaml: phase 5.1 validate.ml baseline (Either-based validation, 3 errs * 100 + 117 = 417)
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validate_int returns Left msg on empty / non-digit, Right
(int_of_string s) on a digit-only string. process folds inputs with a
tuple accumulator (errs, sum), branching on the result.

  ['12'; 'abc'; '5'; ''; '100'; 'x']
  -> 3 errors (abc, '', x), valid sum = 12+5+100 = 117
  -> errs * 100 + sum = 417

Exercises:
  - Either constructors used bare (Left/Right without 'Either.'
    qualification)
  - char range comparison: c >= '0' && c <= '9'
  - tuple-pattern destructuring on let-binding (iter 98)
  - recursive helper defined inside if-else
  - List.fold_left with tuple accumulator

36 baseline programs total.
2026-05-09 08:11:07 +00:00
5c70747ac7 ocaml: phase 5.1 word_freq.ml baseline (Map.Make on String, distinct = 8)
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First baseline using Map.Make on a string-keyed map:

  module StringOrd = struct
    type t = string
    let compare = String.compare
  end
  module SMap = Map.Make (StringOrd)

  let count_words text =
    let words = String.split_on_char ' ' text in
    List.fold_left (fun m w ->
      let n = match SMap.find_opt w m with
              | Some n -> n
              | None -> 0
      in
      SMap.add w (n + 1) m
    ) SMap.empty words

For 'the quick brown fox jumps over the lazy dog' ('the' appears
twice), SMap.cardinal -> 8.

Complements bag.ml (Hashtbl-based) and unique_set.ml (Set.Make)
with a sorted Map view of the same kind of counting problem. 35
baseline programs total.
2026-05-09 08:01:21 +00:00
c272b1ea04 ocaml: phase 6 Either module + Hashtbl.copy (+4 tests, 602 total)
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Either module (mirrors OCaml 4.12+ stdlib):
  left x / right x
  is_left / is_right
  find_left / find_right (return Option)
  map_left / map_right (single-side mappers)
  fold lf rf e            (case dispatch)
  equal eq_l eq_r a b
  compare cmp_l cmp_r a b (Left < Right)

Constructors are bare 'Left x' / 'Right x' (OCaml 4.12+ exposes them
directly without an explicit type-decl).

Hashtbl.copy:
  build a fresh cell with _hashtbl_create
  walk _hashtbl_to_list and re-add each (k, v)
  mutating one copy doesn't touch the other
  (Hashtbl.length t + Hashtbl.length t2 = 3 after fork-and-add
   verifies that adds to t2 don't appear in t)
2026-05-09 07:50:24 +00:00
9a8bbff5b2 ocaml: phase 5.1 json_pretty.ml baseline (recursive ADT to string, len = 24)
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Defines a JSON-like algebraic data type:

  type json =
    | JNull
    | JBool of bool
    | JInt of int
    | JStr of string
    | JList of json list

Recursively serialises to a string via match-on-constructor, then
measures the length:

  JList [JInt 1; JBool true; JNull; JStr 'hi'; JList [JInt 2; JInt 3]]
  -> '[1,true,null,"hi",[2,3]]'   length 24

Exercises:
  - five-constructor ADT (one nullary, three single-arg, one list-arg)
  - recursive match
  - String.concat ',' (List.map to_string xs)
  - string-cat with embedded escaped quotes

34 baseline programs total.
2026-05-09 07:41:01 +00:00
75a1adbbd5 ocaml: phase 5.1 shuffle.ml baseline (Fisher-Yates with deterministic Random)
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In-place Fisher-Yates shuffle using:

  Random.init 42                  deterministic seed
  let a = Array.of_list xs
  for i = n - 1 downto 1 do       reverse iteration
    let j = Random.int (i + 1)
    let tmp = a.(i) in
    a.(i) <- a.(j);
    a.(j) <- tmp
  done

Sum is invariant under permutation, so the test value (55 for
[1..10] = 1+2+...+10) verifies the shuffle is a valid permutation
regardless of which permutation the seed yields.

Exercises Random.init / Random.int + Array.of_list / to_list /
length / arr.(i) / arr.(i) <- v + downto loop + multi-statement
sequencing within for-body.

33 baseline programs total.
2026-05-09 07:31:33 +00:00
90418c120b ocaml: phase 5.1 pi_leibniz.ml baseline + int_of_float fix (1000 terms x 100 = 314)
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pi_leibniz.ml: Leibniz formula for pi.

  pi/4 = 1 - 1/3 + 1/5 - 1/7 + ...
  pi  ~= 4 * sum_{k=0}^{n-1} (-1)^k / (2k+1)

For n=1000, pi ~= 3.140593. Multiply by 100 and int_of_float -> 314.

Side-quest: int_of_float was wrongly defined as identity in
iteration 94. Fixed to:

  let int_of_float f =
    if f < 0.0 then _float_ceil f else _float_floor f

(truncate toward zero, mirroring real OCaml's int_of_float). The
identity definition was a stub from when integer/float dispatch was
not yet split — now they're separate, the stub is wrong.

Float.to_int still uses floor since OCaml's docs say the result is
unspecified for nan / out-of-range; close enough for our scope.

32 baseline programs total.
2026-05-09 07:19:52 +00:00
e42ff3b1f6 ocaml: phase 6 Float module fleshed out (+6 tests, 598 total)
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New Float members:
  zero / one / minus_one
  abs / neg
  add / sub / mul / div     (lift host '+.' '-.' '*.' '/.')
  max / min                 (if-based)
  equal / compare           (Float.compare returns -1 / 0 / 1)
  to_int                    (host floor)
  of_int                    (identity in dynamic runtime)
  of_string                 (delegates to _int_of_string)

Aligns Float with Int's API and lets baselines use Float.add /
Float.compare / etc without lifting the symbols themselves.

  Float.add 3.5 4.5         = 8
  Float.compare 2.5 5.0     = -1
  Float.abs -3.7            = 3.7
  Float.max 3.14 2.71       = 3.14
2026-05-09 07:09:29 +00:00
97a8c06690 ocaml: phase 5.1 balance.ml baseline (paren/bracket/brace balance via Stack)
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is_balanced walks a string; on each char:
  '(', '[', '{'  -> Stack.push c
  ')', ']', '}'  -> require stack non-empty AND top = expected opener,
                     else mark ok = false
  others         -> skip

At end: !ok && Stack.is_empty stack.

Five test cases:
  '({[abc]d}e)'  -> true
  '(a]'           -> false  (no matching opener)
  '{[}]'          -> false  (mismatched closer)
  '(())'          -> true
  ''              -> true

Sum of (if balanced then 1 else 0) -> 3.

Exercises:
  Stack.create / push / pop / is_empty
  s.[!i] string indexing
  while loop + bool ref short-circuit
  multi-arm if/else if/else if dispatch

31 baseline programs total.
2026-05-09 06:59:22 +00:00
0c3b5d21fa ocaml: phase 5.1 safe_div.ml baseline + Result.equal/compare/iter_error (+3 tests, 592 total)
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safe_div.ml: integer division returning Result. Sum-safe folds pairs,
skipping the Error branches.

  [(10,2); (20,4); (30,0); (50,5)]   ->  5 + 5 + 0 + 10 = 20

Result module additions (mirroring real OCaml's signatures):

  equal eq_ok eq_err a b
  compare cmp_ok cmp_err a b      Ok < Error (i.e. Ok x compared to
                                  Error e returns -1)
  iter_error f r

  Result.equal (=) (=) (Ok 1) (Ok 1)              = true
  Result.compare compare compare (Ok 5) (Ok 3)    = 1
  Result.compare compare compare (Ok 1) (Error _) = -1

30 baseline programs total.
2026-05-09 06:47:47 +00:00
98ba772acd ocaml: phase 6 List.equal / List.compare (+5 tests, 589 total)
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Both take an inner predicate / comparator and walk both lists in
lockstep:

  equal eq a b     short-circuits on first mismatch
  compare cmp a b  -1 if a is a strict prefix
                    1 if b is
                    0 if both empty
                    otherwise first non-zero element comparison

Mirrors real OCaml's signatures.

  List.equal (=) [1;2;3] [1;2;3]            = true
  List.equal (=) [1;2;3] [1;2;4]            = false
  List.compare compare [1;2;3] [1;2;4]      = -1
  List.compare compare [1;2] [1;2;3]        = -1
  List.compare compare [] []                = 0
2026-05-09 06:35:42 +00:00
4d32c80a99 ocaml: phase 6 Bool module + Option.equal/Option.compare (+5 tests, 584 total)
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Bool module:
  equal a b      = a = b
  compare a b    = 0 if equal, 1 if a, -1 if b (false < true)
  to_string      'true' / 'false'
  of_string s    = s = 'true'
  not_           wraps host not
  to_int         true=1, false=0

Option additions (take eq/cmp parameter for the inner value):
  equal eq a b   None=None, otherwise eq the inner values
  compare cmp a b  None < Some _; otherwise cmp inner

  Option.equal (=) (Some 1) (Some 1)        = true
  Option.equal (=) (Some 1) None             = false
  Option.compare compare (Some 5) (Some 3)  = 1
2026-05-09 06:26:33 +00:00
ddd1e40d00 ocaml: phase 5.1 bag.ml baseline + String.equal/compare/cat/empty (+3 tests, 579 total)
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bag.ml: split a sentence on spaces, count each word in a Hashtbl,
return the maximum count via Hashtbl.fold.

  count_words 'the quick brown fox jumps over the lazy dog the fox'
  -> Hashtbl with 'the' = 3 as the max
  -> 3

Exercises String.split_on_char + Hashtbl.find_opt/replace +
Hashtbl.fold (k v acc -> ...). Together with frequency.ml from
iter 84 we now have two Hashtbl-counting baselines exercising
slightly different idioms. 29 baseline programs total.

String additions:
  equal a b      = a = b
  compare a b    = -1 / 0 / 1 via host < / >
  cat a b        = a ^ b
  empty          = '' (constant)
2026-05-09 06:15:03 +00:00