src/main/java/com/fishercoder/solutions/_552.java

package com.fishercoder.solutions;

public class _552 {

    public static class Solution1 {
        /**
         * credit: https://discuss.leetcode.com/topic/86526/improving-the-runtime-from-o-n-to-o-log-n
         */
        public int checkRecord(int n) {
            final int MOD = 1000000007;
            int[][][] f = new int[n + 1][2][3];

            f[0] = new int[][]{{1, 1, 1}, {1, 1, 1}};
            for (int i = 1; i <= n; i++) {
                for (int j = 0; j < 2; j++) {
                    for (int k = 0; k < 3; k++) {
                        int val = f[i - 1][j][2]; // ...P
                        if (j > 0) {
                            val = (val + f[i - 1][j - 1][2]) % MOD; // ...A
                        }
                        if (k > 0) {
                            val = (val + f[i - 1][j][k - 1]) % MOD; // ...L
                        }
                        f[i][j][k] = val;
                    }
                }
            }
            return f[n][1][2];
        }
    }

}