|
| 1 | +package main |
| 2 | + |
| 3 | +import ( |
| 4 | + "fmt" |
| 5 | +) |
| 6 | + |
| 7 | +/* |
| 8 | +* |
| 9 | +Given two non-negative integers num1 and num2 represented as strings, |
| 10 | +return the product of num1 and num2, also represented as a string. |
| 11 | +Note: You must not use any built-in BigInteger library or convert the inputs to integer directly. |
| 12 | +*/ |
| 13 | + |
| 14 | +// worst case could cause integer overflow... |
| 15 | +// O(n) |
| 16 | +// for int 64 |
| 17 | +// 498828660196 * 498828660196 = -3269442614257959980 // integer overflow right here |
| 18 | +func Multiply(num1 string, num2 string) string { |
| 19 | + strMap := map[string]int{ |
| 20 | + "0": 0, |
| 21 | + "1": 1, |
| 22 | + "2": 2, |
| 23 | + "3": 3, |
| 24 | + "4": 4, |
| 25 | + "5": 5, |
| 26 | + "6": 6, |
| 27 | + "7": 7, |
| 28 | + "8": 8, |
| 29 | + "9": 9, |
| 30 | + } |
| 31 | + var va int64 |
| 32 | + var vap int64 |
| 33 | + |
| 34 | + num1Len := len(num1) |
| 35 | + num2Len := len(num2) |
| 36 | + |
| 37 | + i, j := 0, 0 |
| 38 | + |
| 39 | + for i < num1Len || j < num2Len { |
| 40 | + if i < num1Len { |
| 41 | + va = va*10 + int64(strMap[string(num1[i])]) |
| 42 | + } |
| 43 | + if j < num2Len { |
| 44 | + vap = vap*10 + int64(strMap[string(num2[j])]) |
| 45 | + } |
| 46 | + i++ |
| 47 | + j++ |
| 48 | + } |
| 49 | + return fmt.Sprintf("%d", va*vap) |
| 50 | +} |
| 51 | + |
| 52 | +func Multiply2(num1 string, num2 string) string { |
| 53 | + |
| 54 | + if num1 == "0" || num2 == "0" { |
| 55 | + return "0" |
| 56 | + } |
| 57 | + |
| 58 | + n, m := len(num1), len(num2) |
| 59 | + result := make([]int, n+m) |
| 60 | + for i := n - 1; i >= 0; i-- { |
| 61 | + for j := m - 1; j >= 0; j-- { |
| 62 | + d1 := int(num1[i] - '0') |
| 63 | + d2 := int(num2[j] - '0') |
| 64 | + mul := d1 * d2 |
| 65 | + p1, p2 := i+j, i+j+1 |
| 66 | + sum := mul + result[p2] |
| 67 | + result[p2] = sum % 10 |
| 68 | + result[p1] += sum / 10 |
| 69 | + } |
| 70 | + } |
| 71 | + res := "" |
| 72 | + for _, digit := range result { |
| 73 | + if !(len(res) == 0 && digit == 0) { |
| 74 | + res += fmt.Sprint(digit) |
| 75 | + } |
| 76 | + } |
| 77 | + return res |
| 78 | +} |
| 79 | + |
| 80 | +func main() { |
| 81 | + fmt.Println(Multiply2("498828660196", "840477629533")) |
| 82 | +} |
| 83 | + |
| 84 | +/* |
| 85 | +* |
| 86 | +
|
| 87 | + apparently this function is illegal to use |
| 88 | + sybau... |
| 89 | +*/ |
| 90 | +func convertToInt(str string) int { |
| 91 | + if str == "" || str == " " || len(str) == 0 { |
| 92 | + return 0 |
| 93 | + } |
| 94 | + |
| 95 | + num := 0 |
| 96 | + sign := 1 |
| 97 | + |
| 98 | + if str[0] == '-' { |
| 99 | + sign = -1 |
| 100 | + str = str[1:] |
| 101 | + } |
| 102 | + |
| 103 | + for _, c := range str { |
| 104 | + switch c { |
| 105 | + case '0': |
| 106 | + num = (num * 10) |
| 107 | + case '1': |
| 108 | + num = (num * 10) + 1 |
| 109 | + case '2': |
| 110 | + num = (num * 10) + 2 |
| 111 | + case '3': |
| 112 | + num = (num * 10) + 3 |
| 113 | + case '4': |
| 114 | + num = (num * 10) + 4 |
| 115 | + case '5': |
| 116 | + num = (num * 10) + 5 |
| 117 | + case '6': |
| 118 | + num = (num * 10) + 6 |
| 119 | + case '7': |
| 120 | + num = (num * 10) + 7 |
| 121 | + case '8': |
| 122 | + num = (num * 10) + 8 |
| 123 | + case '9': |
| 124 | + num = (num * 10) + 9 |
| 125 | + default: |
| 126 | + fmt.Println("bleh bleh bleeeeh bleeeeeeeeeeeh") |
| 127 | + return 10 * 10 * 10 * 10 * 10 * 10 * 10 * 10 * 10 * 10 * 10 * 10 * 10 * 10 // don't ask me why this here... |
| 128 | + } |
| 129 | + } |
| 130 | + return num * sign |
| 131 | +} |
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