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package class45;
import java.util.HashMap;
import java.util.HashSet;
public class Problem_0403_FrogJump {
public static boolean canCross(int[] stones) {
HashSet<Integer> set = new HashSet<>();
for (int num : stones) {
set.add(num);
}
HashMap<Integer, HashMap<Integer, Boolean>> dp = new HashMap<>();
return jump(1, 1, stones[stones.length - 1], set, dp);
}
public static boolean jump(int cur, int pre, int end, HashSet<Integer> set,
HashMap<Integer, HashMap<Integer, Boolean>> dp) {
if (cur == end) {
return true;
}
if (!set.contains(cur)) {
return false;
}
if (dp.containsKey(cur) && dp.get(cur).containsKey(pre)) {
return dp.get(cur).get(pre);
}
boolean ans = (pre > 1 && jump(cur + pre - 1, pre - 1, end, set, dp))
|| jump(cur + pre, pre, end, set, dp)
|| jump(cur + pre + 1, pre + 1, end, set, dp);
if (!dp.containsKey(cur)) {
dp.put(cur, new HashMap<>());
}
if (!dp.get(cur).containsKey(pre)) {
dp.get(cur).put(pre, ans);
}
return ans;
}
}