| { | |
| "task_id": "19c7e19a6c3253221aca566872c746c3fe7eff91", | |
| "task_index": 2, | |
| "instruction": "Solve the problem below by writing a Python program to `solution.py` in the current working directory (it does not exist yet, so create it with the `write` tool). The program must read its input from standard input (stdin) and write ONLY the required answer to standard output (stdout).\nThen TEST it against the example cases shown in the problem: run your program on each example input with bash, e.g. `printf '<example input>' | python3 solution.py`, and compare its output to the expected output. If an example fails or the program errors, use the `edit` tool to fix `solution.py`, then run it again. Keep going until your program passes all the provided examples, then stop.\n\nPROBLEM:\nCaracal is fighting with a monster.\nThe health of the monster is H.\nCaracal can attack by choosing one monster. When a monster is attacked, depending on that monster's health, the following happens:\n - If the monster's health is 1, it drops to 0.\n - If the monster's health, X, is greater than 1, that monster disappears. Then, two new monsters appear, each with the health of \\lfloor X/2 \\rfloor.\n(\\lfloor r \\rfloor denotes the greatest integer not exceeding r.)\nCaracal wins when the healths of all existing monsters become 0 or below.\nFind the minimum number of attacks Caracal needs to make before winning.\n\n-----Constraints-----\n - 1 \\leq H \\leq 10^{12}\n - All values in input are integers.\n\n-----Input-----\nInput is given from Standard Input in the following format:\nH\n\n-----Output-----\nFind the minimum number of attacks Caracal needs to make before winning.\n\n-----Sample Input-----\n2\n\n-----Sample Output-----\n3\n\nWhen Caracal attacks the initial monster, it disappears, and two monsters appear, each with the health of 1.\nThen, Caracal can attack each of these new monsters once and win with a total of three attacks." | |
| } |