24point.js 2.8 KB

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  1. function solve24point(...numbers) {
  2. class Operation {
  3. constructor(val, rank, exp) {
  4. this.val = val
  5. this.rank = rank
  6. this.exp = exp
  7. }
  8. plus(that) {
  9. return new Operation(this.val + that.val, 0, `${this.exp}+${that.exp}`)
  10. }
  11. minus(that) {
  12. let exp
  13. if (that.rank === 0) exp = `${this.exp}-(${that.exp})`
  14. else exp = `${this.exp}-${that.exp}`
  15. return new Operation(this.val - that.val, 0, exp)
  16. }
  17. mult(that) {
  18. let exp
  19. if (this.rank === 0 && that.rank === 0) exp = `(${this.exp})*(${that.exp})`
  20. else if (this.rank === 0) exp = `(${this.exp})*${that.exp}`
  21. else if (that.rank === 0) exp = `${this.exp}*(${that.exp})`
  22. else exp = `${this.exp}*${that.exp}`
  23. return new Operation(this.val * that.val, 1, exp)
  24. }
  25. div(that) {
  26. let exp
  27. if (this.rank === 0 && that.rank !== 2) exp = `(${this.exp})/(${that.exp})`
  28. else if (this.rank === 0) exp = `(${this.exp})/${that.exp}`
  29. else if (that.rank !== 2) exp = `${this.exp}/(${that.exp})`
  30. else exp = `${this.exp}/${that.exp}`
  31. return new Operation(this.val / that.val, 1, exp)
  32. }
  33. }
  34. const eps = 0.000001
  35. function dfs(nums) {
  36. if (nums.length === 1 && Math.abs(nums[0].val - 24.0) < eps) return nums[0].exp
  37. for (let i = 0; i < nums.length - 1; i++) {
  38. for (let j = i + 1; j < nums.length; j++) {
  39. let next = new Array(nums.length - 2)
  40. for (let k = 0, idx = 0; k < nums.length; k++) {
  41. if (k == i || k == j) continue
  42. next[idx++] = nums[k]
  43. }
  44. let p = nums[i], q = nums[j]
  45. let tmp = [p.plus(q), p.minus(q), q.minus(p), p.mult(q)]
  46. if (q.val > 0) tmp.push(p.div(q))
  47. if (p.val > 0) tmp.push(q.div(p))
  48. for (let i = 0; i < tmp.length; i++) {
  49. next.push(tmp[i])
  50. const res = dfs(next)
  51. if (res !== null) return res
  52. next.pop()
  53. }
  54. }
  55. }
  56. return null
  57. }
  58. const nums = new Array(numbers.length)
  59. for (let i = 0; i < numbers.length; i++) {
  60. nums[i] = new Operation(numbers[i], 2, numbers[i])
  61. }
  62. return dfs(nums)
  63. }
  64. // eslint-disable-next-line no-console
  65. const log = console.log.bind(console)
  66. log(solve24point(2, 4, 1, 8))
  67. log(solve24point(2, 4, 6, 8))
  68. log(solve24point(1, 2, 5, 8))
  69. log(solve24point(1, 7, 8, 8))
  70. log(solve24point(6, 6, 6, 6, 6))
  71. log(solve24point(1, 5, 5, 5))
  72. log(solve24point(2, 5, 5, 10))
  73. log(solve24point(1, 4, 5, 6))
  74. log(solve24point(6, 9, 9, 10))