题目:
题解:
java
class Solution {
public int numSquares(int n) {
if (isPerfectSquare(n)) {
return 1;
}
if (checkAnswer4(n)) {
return 4;
}
for (int i = 1; i * i <= n; i++) {
int j = n - i * i;
if (isPerfectSquare(j)) {
return 2;
}
}
return 3;
}
// 判断是否为完全平方数
public boolean isPerfectSquare(int x) {
int y = (int) Math.sqrt(x);
return y * y == x;
}
// 判断是否能表示为 4^k*(8m+7)
public boolean checkAnswer4(int x) {
while (x % 4 == 0) {
x /= 4;
}
return x % 8 == 7;
}
}