Given N questions and K options for each question, where and . The task is to determine sum of total number of player who has attempted ith question for all to win the game anyhow. You have to minimize the sum of total number of player and output it modulo 109+7.
Note: Any wrong answer leads to elimination of the player.
Input: N = 3, K = 3 Output: 39 Input: N = 5, K = 2 Output: 62
- To solve Nth question K players are needed.
- To solve (N-1)th question K2 players are needed.
- Similarly moving onwards, To solve 1st question KN players are needed.
So, our problem reduces to finding the sum of GP terms K + K2 + … + KN which is equal to .
Now we can use Fermat’s Little Theorem to get the required answer modulo with 109+7.
Below is the implementation of above approach:
Time Complexity: O(log(n))
- Game Theory (Normal-form game) | Set 3 (Game with Mixed Strategy)
- Game Theory (Normal form game) | Set 2 (Game with Pure Strategy)
- Game Theory (Normal-form Game) | Set 6 (Graphical Method [2 X N] Game)
- Game Theory (Normal-form Game) | Set 7 (Graphical Method [M X 2] Game)
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- Minimum number operations required to convert n to m | Set-2
- Minimum number of palindromes required to express N as a sum | Set 1
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