Given two non-negative integers x
and y
, an integer is powerful if it is equal to x^i + y^j
for some integers i >= 0
and j >= 0
.
Return a list of all powerful integers that have value less than or equal to bound
.
You may return the answer in any order. In your answer, each value should occur at most once.
Example 1:
Input: x = 2, y = 3, bound = 10
Output: [2,3,4,5,7,9,10]
Explanation:
2 = 2^0 + 3^0
3 = 2^1 + 3^0
4 = 2^0 + 3^1
5 = 2^1 + 3^1
7 = 2^2 + 3^1
9 = 2^3 + 3^0
10 = 2^0 + 3^2
Example 2:
Input: x = 3, y = 5, bound = 15
Output: [2,4,6,8,10,14]
Note:
1 <= x <= 100
1 <= y <= 100
0 <= bound <= 10^6
emmm,暴力也能过哒
int poww(int a, int b) { int ans = 1, base = a; while (b != 0) { if (b & 1 != 0) ans *= base; base *= base; b >>= 1; } return ans; } class Solution { public: vector<int> powerfulIntegers(int x, int y, int bound) { int sum = 0; int r,l; vector<int>Ve; map<int,int>Mp; if(x == 1){ r = bound; } else if(x!=1){ r = log(bound)/log(x)+1; } if(y == 1){ l =bound; }else if(y!=1){ l = log(bound)/log(y)+1; } for(int i=0;i<=r;i++){ for(int j=0;j<=l;j++){ sum = poww(x,i) + poww(y,j); if(sum>bound) continue; Mp[sum]++; if(Mp[sum]<=1){ Ve.push_back(sum); } } } return Ve; } };