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2 | 2 | # Space: O(m + n)
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3 | 3 |
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4 | 4 | class Solution(object):
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| 5 | + def multiply(self, num1, num2): |
| 6 | + """ |
| 7 | + :type num1: str |
| 8 | + :type num2: str |
| 9 | + :rtype: str |
| 10 | + """ |
| 11 | + result = [0]*(len(num1)+len(num2)) |
| 12 | + for i in reversed(xrange(len(num1))): |
| 13 | + for j in reversed(xrange(len(num2))): |
| 14 | + result[i+j+1] += int(num1[i])*int(num2[j]) |
| 15 | + result[i+j] += result[i+j+1]//10 |
| 16 | + result[i+j+1] %= 10 |
| 17 | + for i in xrange(len(result)): |
| 18 | + if result[i]: |
| 19 | + return "".join(map(lambda x: str(x), result[i:])) |
| 20 | + return "0" |
| 21 | + |
| 22 | +# Time: O(m * n) |
| 23 | +# Space: O(m + n) |
| 24 | +class Solution2(object): |
5 | 25 | def multiply(self, num1, num2):
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6 | 26 | """
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7 | 27 | :type num1: str
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8 | 28 | :type num2: str
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9 | 29 | :rtype: str
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10 | 30 | """
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11 | 31 | num1, num2 = num1[::-1], num2[::-1]
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12 |
| - res = [0] * (len(num1) + len(num2)) |
| 32 | + result = [0]*(len(num1)+len(num2)) |
13 | 33 | for i in xrange(len(num1)):
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14 | 34 | for j in xrange(len(num2)):
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15 |
| - res[i + j] += int(num1[i]) * int(num2[j]) |
16 |
| - res[i + j + 1] += res[i + j] / 10 |
17 |
| - res[i + j] %= 10 |
18 |
| - |
19 |
| - # Skip leading 0s. |
20 |
| - i = len(res) - 1 |
21 |
| - while i > 0 and res[i] == 0: |
22 |
| - i -= 1 |
| 35 | + result[i+j] += int(num1[i])*int(num2[j]) |
| 36 | + result[i+j+1] += result[i+j]//10 |
| 37 | + result[i+j] %= 10 |
23 | 38 |
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24 |
| - return ''.join(map(str, res[i::-1])) |
| 39 | + for i in reversed(xrange(len(result))): |
| 40 | + if result[i]: |
| 41 | + break |
| 42 | + print result |
| 43 | + for i in reversed(xrange(len(result))): |
| 44 | + if result[i]: |
| 45 | + break |
| 46 | + return "".join(map(str, result[i::-1])) |
25 | 47 |
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26 | 48 | # Time: O(m * n)
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27 | 49 | # Space: O(m + n)
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28 | 50 | # Using built-in bignum solution.
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29 |
| -class Solution2(object): |
| 51 | +class Solution3(object): |
30 | 52 | def multiply(self, num1, num2):
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31 | 53 | """
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32 | 54 | :type num1: str
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33 | 55 | :type num2: str
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34 | 56 | :rtype: str
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35 | 57 | """
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36 | 58 | return str(int(num1) * int(num2))
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37 |
| - |
38 |
| - |
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