In the "100 game" two players take turns adding, to a running total, any integer from 1 to 10. The player who first causes the running total to reach or exceed 100 wins.
What if we change the game so that players cannot re-use integers?
\n\nFor example, two players might take turns drawing from a common pool of numbers from 1 to 15 without replacement until they reach a total >= 100.
\n\nGiven two integers maxChoosableInteger and desiredTotal, return true if the first player to move can force a win, otherwise, return false. Assume both players play optimally.
\n
Example 1:
\n\n\nInput: maxChoosableInteger = 10, desiredTotal = 11\nOutput: false\nExplanation:\nNo matter which integer the first player choose, the first player will lose.\nThe first player can choose an integer from 1 up to 10.\nIf the first player choose 1, the second player can only choose integers from 2 up to 10.\nThe second player will win by choosing 10 and get a total = 11, which is >= desiredTotal.\nSame with other integers chosen by the first player, the second player will always win.\n\n\n
Example 2:
\n\n\nInput: maxChoosableInteger = 10, desiredTotal = 0\nOutput: true\n\n\n
Example 3:
\n\n\nInput: maxChoosableInteger = 10, desiredTotal = 1\nOutput: true\n\n\n
\n
Constraints:
\n\n1 <= maxChoosableInteger <= 200 <= desiredTotal <= 300Compiled with clang 11 using the latest C++ 20 standard.
Your code is compiled with level two optimization (-O2). AddressSanitizer is also enabled to help detect out-of-bounds and use-after-free bugs.
Most standard library headers are already included automatically for your convenience.
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