In the traditional version of this puzzle the robot can only fit one thing on the boat with it. The state space is still the same, but fewer transitions are possible. Using the diagram with the possible states below as a starting point, draw the possible transitions in it (it is MUCH easier to do this with a pencil and paper than without). Having drawn the state transition diagram, find the shortest path from NNNN to FFFF, and calculate the number of transitions on it. Please type your answer as the number of transitions in the shortest path (just a single number like "12"). Hint: Do not count the number of states, but the number of transitions. For example, the number of transitions in the path NNNN→FFNF→NFNF→FFFF is 3 instead of 4.
Answers
Answer:
Digit Pairs Problem Description Given N three-digit numbers, your task is to find bit score of all N numbers and then print the number of pairs possible based on these calculated bit score. 1. Rule for calculating bit score from three digit number: From the 3-digit number, · extract largest digit and multiply by 11 then · extract smallest digit multiply by 7 then · add both the result for getting bit pairs. Note: - Bit score should be of 2-digits, if above results in a 3-digit bit score, simply ignore most significant digit. Consider following examples: Say, number is 286 Largest digit is 8 and smallest digit is 2 So, 8*11+2*7 =102 so ignore most significant bit , So bit score = 02. Say, Number is 123 Largest digit is 3 and the smallest digit is 1 So, 3*11+7*1=40, so a bit score is 40. 2. Rules for making pairs from above calculated bit scores Condition for making pairs are · Both bit scores should be in either odd position or even position to be eligible to form a pair. · Pairs can be only made if most significant digit are same and at most two pair can be made for a given significant digit. Constraints N<=500 Input Format First line contains an integer N, denoting the count of numbers. Second line contains N 3-digit integers delimited by space Output One integer value denoting the number of bit pairs. Timeout 1 Explanation Example 1 Input 8 234 567 321 345 123 110 767 111 Output 3 Explanation After getting the most and least significant digits of the numbers and applying the formula given in Rule 1 we get the bit scores of the numbers as: 58 12 40 76 40 11 19 18 No. of pair possible are 3: 40 appears twice at odd-indices 3 and 5 respectively. Hence, this is one pair. 12, 11, 18 are at even-indices. Hence, two pairs are possible from these three-bit scores. Hence total pairs possible is 3
Explanation:
In the traditional version of this puzzle the robot can only fit one thing on the boat with it. The state space is still the same, but fewer transitions are possible. Using the diagram with the possible states below as a starting point, draw the possible transitions in it (it is MUCH easier to do this with a pencil and paper than without). Having drawn the state transition diagram, find the shortest path from NNNN to FFFF, and calculate the number of transitions on it. Please type your answer as the number of transitions in the shortest path (just a single number like "12"). Hint: Do not count the number of states, but the number of transitions. For example, the number of transitions in the path NNNN→FFNF→NFNF→FFFF is 3 instead of 4.
Answer:
The answer is 7.
Explanation:
There are two shortest paths that lead from the start NNNN to the goal FFFF. One of them is NNNN -> FNFN -> NNFN -> FFFN -> NFNN -> FFNF -> NFNF -> FFFF, and the other NNNN -> FNFN -> NNFN -> FNFF -> NNNF -> FFNF -> NFNF -> FFFF. Intuitively, the strategy is to move the chicken on the other side first, and then go back get either the fox or the feed, and take it to the far side too. The robot then takes the chicken back to the near side to save it from being eaten or from eating the feed, and takes the other remaining object (fox or feed) from the near side to the far side. Finally, the robot goes to fetch the chicken and takes it to the far side to reach the goal.