Given the API rand7()
that generates a uniform random integer in the range [1, 7]
, write a function rand10()
that generates a uniform random integer in the range [1, 10]
. You can only call the API rand7()
, and you shouldn't call any other API. Please do not use a language's built-in random API.
Each test case will have one internal argument n
, the number of times that your implemented function rand10()
will be called while testing. Note that this is not an argument passed to rand10()
.
Example 1:
Input: n = 1
Output: [2]
Example 2:
Input: n = 2
Output: [2,8]
Example 3:
Input: n = 3
Output: [3,8,10]
Constraints:
-
1 <= n <= 105
Follow up:
- What is the expected value for the number of calls to
rand7()
function? - Could you minimize the number of calls to
rand7()
?
SOLUTION:
# The rand7() API is already defined for you.
# def rand7():
# @return a random integer in the range 1 to 7
class Solution:
def rand10(self):
total = 0
for _ in range(10):
total += rand7()
return 1 + total % 10
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