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public class PerfectSquares {

public int numSquares(int n) {

int[] dp = new int[n + 1];

for (int i = 1; i <= n; i++) {

int min = Integer.MAX_VALUE;

for (int k = 1; i - k * k >= 0; k++) {

min = Math.min(min, 1 + dp[i - k * k]);

}

dp[i] = min;

}

return dp[n];

}

}