The factorial of a positive integer nis the product of all positive integers less than or equal to n.
For example, factorial(10) = 10 * 9 * 8 * 7 * 6 * 5 * 4 * 3 * 2 * 1.
【资料图】
We make a clumsy factorial using the integers in decreasing order by swapping out the multiply operations for a fixed rotation of operations with multiply '*', divide '/', add '+', and subtract '-'in this order.
For example, clumsy(10) = 10 * 9 / 8 + 7 - 6 * 5 / 4 + 3 - 2 * 1.
However, these operations are still applied using the usual order of operations of arithmetic. We do all multiplication and division steps before any addition or subtraction steps, and multiplication and division steps are processed left to right.
Additionally, the division that we use is floor division such that 10 * 9 / 8 = 90 / 8 = 11.
Given an integer n, return the clumsy factorial of n.
Example 1:
Input: n = 4Output: 7Explanation: 7 = 4 * 3 / 2 + 1
Example 2:
Input: n = 10Output: 12Explanation: 12 = 10 * 9 / 8 + 7 - 6 * 5 / 4 + 3 - 2 * 1
Constraints:
1 <= n <= 104
class Solution {
public static int clumsy(int n){
int ans=0;
if(n<4){
return fac(n);
}
int k=(n-3)>0?(n-3):0;
ans=fac(n)+k;
// System.out.println(ans);
for (int i = n-4;i>=0; i=i-4) {
int l=(i-3)>0?(i-3):0;
ans=ans-fac(i)+l;
}
return ans;
}
public static int fac(int n){
if(n==0) return 0;
if(n==1) return 1;
if(n==2) return 2;
if(n==3) return 6;
if(n==4) return 6;
return n*(n-1)/(n-2);
}
}
写个fac的函数，然后依次遍历即可。
Runtime: 2 ms, faster than 70.12% of Java online submissions for Clumsy Factorial.
Memory Usage: 39.4 MB, less than 76.10% of Java online submissions for Clumsy Factorial.
