Note:
DP means we have (i, end) keys and starting from j position how many "STEPS" we need. This does not include press button step.
class Solution { public int findRotateSteps(String ring, String key) { int[][] dp = new int[key.length() + 1][ring.length()]; for (int i = key.length() - 1; i >= 0; i--) { for (int j = 0; j < ring.length(); j++) { dp[i][j] = Integer.MAX_VALUE; for (int k = 0; k < ring.length(); k++) { if (key.charAt(i) == ring.charAt(k)) { int diff = Math.abs(j - k); int step = Math.min(diff, ring.length() - diff); dp[i][j] = Math.min(dp[i][j], dp[i + 1][k] + step); } } } } return dp[0][0] + key.length(); } }