Coding Solutions Group

Bob Dani N number from 1-n

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To solve this problem, we can use the concept of dynamic programming. First, we create a 2D array dp of size (N+1) x (M+1), where dp[i][j] represents the minimum number of toys that can be bought using the first i toys and j rupees. We initialize dp[0][j] = infinity for all j, except dp[0][0] = 0, since we don't have any toys and can't spend any money. Then, for each toy i from 1 to N, we iterate through all possible amounts of money j from 0 to M, and update dp[i][j] as follows: - If the price of the ith toy is greater than j, we can't buy this toy. So, dp[i][j] = dp[i-1][j]. - Otherwise, we have two options:   1. Buy the ith toy without applying magic: dp[i][j] = dp[i-1][j-price[i]] + 1.   2. Apply magic on the ith toy and buy it: dp[i][j] = dp[i-1][j-magical_price[i]] + 1. Finally, if dp[N][M] is infinity, it means it is not possible to buy all the toys within the given budget even after applying magic. In this case, we return -1. Otherwise, we return dp[N][M] as the minimum number of toys on which magic should be applied. Here is the implementation in Python: def minimumToys(N, M, price, magical_price):     INF = float('inf')     dp = [[INF] * (M+1) for _ in range(N+1)]     dp[0][0] = 0         for i in range(1, N+1):         for j in range(M+1):             if price[i-1] > j:                 dp[i][j] = dp[i-1][j]             else:                 dp[i][j] = min(dp[i-1][j], dp[i-1][j-price[i-1]] + 1, dp[i-1][j-magical_price[i-1]] + 1)         if dp[N][M] == INF:         return -1     else:         return dp[N][M] # Example usage N = 5 M = 13 price = [3, 4, 6, 2, 4] magical_price = [1, 2, 5, 1, 3] print(minimumToys(N, M, price, magical_price))

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𝙁𝙤𝙧 𝙛𝙧𝙚𝙚 𝙘𝙤𝙪𝙧𝙨𝙚𝙨, 𝙗𝙤𝙤𝙠𝙨, 𝙥𝙧𝙤𝙟𝙚𝙘𝙩𝙨, 𝙞𝙣𝙩𝙚𝙧𝙣𝙨𝙝𝙞𝙥𝙨, 𝙥𝙡𝙖𝙘𝙚𝙢𝙚𝙣𝙩𝙨 𝙖𝙣𝙙 𝙟𝙤𝙗𝙨 𝙧𝙚𝙡𝙖𝙩𝙚𝙙 𝙢𝙖𝙩𝙚𝙧𝙞𝙖𝙡𝙨  𝙖𝙣𝙙 𝙪𝙥𝙙𝙖𝙩𝙚𝙨 𝙟𝙤𝙞𝙣 𝙤𝙪𝙧 𝙩𝙚𝙡𝙚𝙜𝙧𝙖𝙢 𝙘𝙝𝙖𝙣𝙣𝙚𝙡: @programmingbay 𝙁𝙤𝙧 𝙢𝙤𝙧𝙚 𝙤𝙥𝙥𝙤𝙧𝙩𝙪𝙣𝙞𝙩𝙮 𝙟𝙤𝙞𝙣 𝙤𝙪𝙧 𝙩𝙚𝙡𝙚𝙜𝙧𝙖𝙢 𝙜𝙧𝙤𝙪𝙥: @programming_bay 𝙊𝙪𝙧 𝙩𝙚𝙡𝙚𝙜𝙧𝙖𝙢 𝙜𝙧𝙤𝙪𝙥 𝙞𝙨 𝙤𝙥𝙚𝙣 𝙛𝙤𝙧 𝙖𝙡𝙡. 𝙅𝙤𝙞𝙣 𝙩𝙝𝙚𝙧𝙚 𝙖𝙣𝙙 𝙥𝙤𝙨𝙩 𝙮𝙤𝙪𝙧 𝙙𝙤𝙪𝙗𝙩𝙨 𝙖𝙣𝙙 𝙦𝙪𝙚𝙧𝙞𝙚𝙨. 𝙒𝙚 𝙬𝙞𝙡𝙡 𝙜𝙞𝙫𝙚 𝙨𝙤𝙡𝙪𝙩𝙞𝙤𝙣.

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Func 1 and 2 is crt

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Please tell the code